Details

analyze221.0ms (2.4%)

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)

sample3.4s (37.4%)

Results

901.0ms	1994×	body	1024	infinite
888.0ms	2111×	body	1024	valid
750.0ms	5127×	body	256	valid
287.0ms	2072×	body	256	infinite
273.0ms	1011×	body	512	valid
230.0ms	984×	body	512	infinite
6.0ms	7×	body	2048	valid
0.0ms	1×	body	2048	infinite

Bogosity

preprocess71.0ms (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)

simplify213.0ms (2.3%)

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series13.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite87.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	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))
(/.f64 (sinh.f64 y) y)
(sinh.f64 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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y) y))) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)) (pow.f64 y -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (/.f64 y (.f64 (sinh.f64 y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (/.f64 y (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 y (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 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Outputs

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

simplify167.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1520×	`associate-/l*`
1312×	`associate-r`
1176×	`associate-l`
656×	`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))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(-.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 (/.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)))
(-.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)))

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

eval72.0ms (0.8%)

Compiler: Compiled 5066 to 1817 computations (64.1% saved)

prune99.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	324	5	329
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	325	5	330

Error

Counts

330 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.3b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
▶	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.8b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
▶	0.1b	(.f64 (sin.f64 x) (.f64 (/.f64 -1 y) (neg.f64 (sinh.f64 y))))
▶	1.2b	(sin.f64 x)

Compiler

Compiled 92 to 66 computations (28.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite101.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

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

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

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

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

886×	`distribute-rgt-in`
882×	`distribute-lft-in`
572×	`distribute-lft-neg-out`
506×	`distribute-lft-neg-in`
496×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	5617
1	1004	4499
2	4010	4487

Stop Event

1×	node limit

Counts

179 → 215

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.1%)

Counts

4 → 60

Calls

15 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))))
1.0ms	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	y	@	-inf	(*.f64 y 1/6)

rewrite88.0ms (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	68
1	245	60
2	3022	60

Stop Event

1×	node limit

Counts

4 → 184

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))))
(+.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))))))))
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simplify159.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1630×	`associate-*r/`
1076×	`associate-+l+`
860×	`associate-+r+`
758×	`associate-l`
726×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	459	10168
1	1217	8726
2	5373	8726

Stop Event

1×	node limit

Counts

244 → 286

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	14.4b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`associate-/r*`
1172×	`associate-/l*`
1048×	`associate-*r/`
944×	`*-commutative`
740×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	186	36
2	2489	36

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-/r*`
1238×	`associate-/r/`
770×	`distribute-rgt-in`
770×	`distribute-lft-in`
414×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	4996
1	803	4842
2	3106	4738

Stop Event

1×	node limit

Counts

150 → 190

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 15 computations (53.1% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite104.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`associate-*r/`
1096×	`*-commutative`
834×	`associate-*l/`
634×	`swap-sqr`
442×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	250	32
2	3176	32

Stop Event

1×	node limit

Counts

2 → 186

Calls

Call 1

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

Outputs

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

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1464×	`distribute-lft-in`
1430×	`distribute-rgt-in`
1154×	`associate-/l*`
550×	`associate-/l/`
540×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	479	6386
1	1327	5940
2	5615	5940

Stop Event

1×	node limit

Counts

222 → 290

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
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(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
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(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
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(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
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(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))))
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(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 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)) (/.f64 (*.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (pow.f64 x 5)))))
(+.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))))))
(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 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)) (/.f64 (*.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (pow.f64 x 5))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(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 (*.f64 y y) (sin.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (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 (pow.f64 y 4) (sin.f64 x)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (.f64 y y) (sin.f64 x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)) (.f64 (fma.f64 1/6 (*.f64 y y) 1) (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 (pow.f64 y 4) (sin.f64 x)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x)) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))))
(+.f64 (.f64 (sin.f64 x) (fma.f64 1/5040 (pow.f64 y 6) (.f64 1/6 (.f64 y y)))) (fma.f64 (.f64 1/120 (pow.f64 y 4)) (sin.f64 x) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
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(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(/.f64 (.f64 (.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 -1 (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 (.f64 (.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 -1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))
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(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 (.f64 (/.f64 -1 (sqrt.f64 y)) (.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1) (sinh.f64 y))
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(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 (.f64 (.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) (neg.f64 y))) 2)
(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))
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(/.f64 (*.f64 (+.f64 0 (pow.f64 (sinh.f64 y) 3)) (/.f64 (sin.f64 x) (neg.f64 y))) (+.f64 (pow.f64 (sinh.f64 y) 2) 0))
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(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y))))
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(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y))))
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(+.f64 0 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(exp.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)))
(+.f64 0 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)))
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(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))

eval478.0ms (5.2%)

Compiler: Compiled 22031 to 10501 computations (52.3% saved)

prune345.0ms (3.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1225	5	1230
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	1226	9	1235

Error

Counts

1235 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.3b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.9b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	0.1b	(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) y))
▶	0.8b	(.f64 (sin.f64 x) (-.f64 (+.f64 2 (.f64 y (*.f64 y 1/6))) 1))
✓	0.8b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
▶	30.1b	(.f64 x (fma.f64 (.f64 y y) 1/6 1))
▶	60.6b	(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
✓	1.2b	(sin.f64 x)

Compiler

Compiled 148 to 108 computations (27% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series50.0ms (0.5%)

Counts

3 → 48

Calls

12 calls:

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

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`associate-*r/`
1562×	`associate-/l*`
1086×	`*-commutative`
1066×	`associate-*l/`
524×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	227	43
2	2983	43

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

Outputs

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

simplify156.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

866×	`distribute-rgt-in`
858×	`distribute-lft-in`
702×	`associate-/l*`
680×	`distribute-lft-neg-out`
534×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	498	7198
1	1313	5662
2	5204	5650

Stop Event

1×	node limit

Counts

240 → 302

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (-.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 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 -31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sinh.f64 y)))) 1)
(/.f64 1 (/.f64 (sinh.f64 y) y))
(/.f64 1 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
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(.f64 (/.f64 -1 (neg.f64 (.f64 (sinh.f64 y) 2))) 2)
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(pow.f64 (sinh.f64 y) -1)
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/3)
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
1.0ms	x	@	0	(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
1.0ms	x	@	-inf	(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
1.0ms	y	@	inf	(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
0.0ms	y	@	0	(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`add-sqr-sqrt`
1834×	`*-un-lft-identity`
1700×	`add-cube-cbrt`
1678×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	200	40
2	2373	40

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1002×	`log-prod`
820×	`associate-*r/`
656×	`unswap-sqr`
600×	`+-commutative`
580×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1760
1	271	1760
2	1058	1704
3	3517	1664
4	6949	1664

Stop Event

1×	node limit

Counts

74 → 70

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (fma.f64 (.f64 y y) 1/6 1))

Compiler

Compiled 23 to 12 computations (47.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite102.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1684×	`add-sqr-sqrt`
1664×	`*-un-lft-identity`
1540×	`add-cube-cbrt`
1522×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	192	21
2	2138	21

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-def`
960×	`*-commutative`
784×	`distribute-lft-out`
744×	`associate-r`
680×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	795
1	120	795
2	356	795
3	2522	795
4	5224	795

Stop Event

1×	node limit

Counts

39 → 24

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 17 computations (48.5% saved)

series5.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite108.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`*-commutative`
888×	`associate-*r/`
754×	`associate-/r*`
616×	`associate-*l/`
588×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	247	53
2	3122	53

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

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

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

simplify188.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-+r+`
1016×	`associate-+l+`
666×	`+-commutative`
640×	`associate-r`
538×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	462	9796
1	1369	8544
2	5771	8544

Stop Event

1×	node limit

Counts

226 → 283

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 7) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.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))))
(/.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 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (+.f64 (.f64 1/216 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(+.f64 (.f64 -1/6 (.f64 y y)) 0)
(+.f64 1 (-.f64 (.f64 -1/6 (.f64 y y)) 1))
(-.f64 (fma.f64 (*.f64 -1/6 y) y 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/6 y) y 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (+.f64 1 (.f64 (.f64 y y) 1/6)) 1/36)) 1))
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 y y) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (.f64 y y)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) -1/216))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(-.f64 (fma.f64 (*.f64 -1/6 y) y 1) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/6 y) y 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6))) (/.f64 (pow.f64 y 4) (/.f64 (+.f64 1 (.f64 (.f64 y y) 1/6)) 1/36)))
(-.f64 (+.f64 2 (.f64 -1/6 (.f64 y y))) 1)
(.f64 1 (fma.f64 (.f64 -1/6 y) y 1))
(.f64 (fma.f64 (.f64 -1/6 y) y 1) 1)
(.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))
(.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 y) y 1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/6 y) y 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 y) y 1)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/6 y) y 1)))
(.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (.f64 y y) 1/6)))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6))) (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (.f64 y y) 1/6)))) (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)))
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(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 y) y 1)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 (*.f64 -1/6 y) y 1))))
(.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 (fma.f64 (.f64 -1/6 y) y 1)))
(.f64 (/.f64 (sin.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 1 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 (.f64 -1/6 y) y 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/6 y) y 1)) 2)))
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (.f64 (sin.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216))) (.f64 (sin.f64 x) (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (*.f64 y y) 1/6)))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (.f64 (pow.f64 y 4) 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 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (.f64 y y) 1/6))))
(.f64 (/.f64 -1 (fma.f64 (.f64 -1/6 y) y 1)) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (.f64 -1/6 y) y 1)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 y) y 1)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (fma.f64 (*.f64 -1/6 y) y 1))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (fma.f64 (.f64 -1/6 y) y 1))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/6 y) y 1)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 (.f64 -1/6 y) y 1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 (cbrt.f64 (sin.f64 x)) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 y) y 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 (fma.f64 (.f64 -1/6 y) y 1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (fma.f64 (.f64 -1/6 y) y 1)) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (neg.f64 (-.f64 1 (.f64 (pow.f64 y 4) 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)))) (neg.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (.f64 y y) 1/6)))))
(.f64 (/.f64 1 (/.f64 (fma.f64 (.f64 -1/6 y) y 1) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (-.f64 (.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (.f64 -1/6 (.f64 y y)) 1))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))) (+.f64 1 (.f64 (.f64 y y) 1/6)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)))) (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (.f64 y y) 1/6))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))) (neg.f64 (+.f64 1 (.f64 (.f64 y y) 1/6))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)))) (neg.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (.f64 y y) 1/6)))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.f64 (.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (.f64 -1/6 (.f64 y y)) 1))
(.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 (.f64 (pow.f64 y 4) 1/36) (+.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 y 4) 1/36)))) (sqrt.f64 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (*.f64 y y) 1/6)))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 y) y 1)) 2)) (cbrt.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))) (cbrt.f64 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (*.f64 -1/6 y) y 1) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 (*.f64 -1/6 y) y 1))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))))

Outputs
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))
(fma.f64 1/120 (/.f64 (pow.f64 x 5) (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 x (fma.f64 -1/6 (*.f64 y y) 1))))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 7) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))))
(fma.f64 -1/5040 (/.f64 (pow.f64 x 7) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (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 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 -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 -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 -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 -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 -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 -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 -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 -1/6 (*.f64 y y) 1))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 y (*.f64 y 1/6)) (sin.f64 x)))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(+.f64 (sin.f64 x) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (fma.f64 1/36 (.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 (.f64 y (.f64 y 1/6)) (sin.f64 x))))
(.f64 (sin.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1)))
(+.f64 (sin.f64 x) (+.f64 (.f64 1/216 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(+.f64 (sin.f64 x) (fma.f64 1/216 (.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 1/36 (.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 (.f64 y (*.f64 y 1/6)) (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 y 6) (.f64 (sin.f64 x) 1/216)) (.f64 (sin.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1))))
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))
(.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y y))))
(fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (/.f64 -216 (/.f64 (pow.f64 y 6) (sin.f64 x)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (/.f64 (.f64 (sin.f64 x) -1296) (pow.f64 y 8)))))
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))
(.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y y))))
(fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (/.f64 -216 (/.f64 (pow.f64 y 6) (sin.f64 x)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (/.f64 (.f64 (sin.f64 x) -1296) (pow.f64 y 8)))))
(+.f64 (.f64 -1/6 (.f64 y y)) 0)
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(+.f64 1 (-.f64 (.f64 -1/6 (.f64 y y)) 1))
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(-.f64 (fma.f64 (*.f64 -1/6 y) y 1) 1)
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/6 y) y 1))) 2)
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(-.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (+.f64 1 (.f64 (.f64 y y) 1/6)) 1/36)) 1))
(-.f64 (-.f64 (/.f64 1 (+.f64 1 (.f64 y (.f64 y 1/6)))) (.f64 (/.f64 (pow.f64 y 4) (+.f64 1 (.f64 y (*.f64 y 1/6)))) 1/36)) 1)
(+.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 (*.f64 -1/6 y) y -1)) -1)
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(.f64 (.f64 -1/6 y) y)
(.f64 y (.f64 -1/6 y))
(pow.f64 (.f64 (pow.f64 (.f64 y y) 3) -1/216) 1/3)
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(.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1)) (/.f64 (sin.f64 x) (fma.f64 (pow.f64 y 6) -1/216 1)))
(.f64 (/.f64 1 (/.f64 (fma.f64 (.f64 -1/6 y) y 1) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 (sin.f64 x) (-.f64 (.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 (.f64 (sin.f64 x) (+.f64 1 (.f64 y (.f64 y 1/6)))) (-.f64 1 (.f64 1/36 (pow.f64 y 4))))
(/.f64 (sin.f64 x) (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 (*.f64 -1/6 y) y -1)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))) (+.f64 1 (.f64 (.f64 y y) 1/6)))
(/.f64 (.f64 (sin.f64 x) (+.f64 1 (.f64 y (.f64 y 1/6)))) (-.f64 1 (.f64 1/36 (pow.f64 y 4))))
(/.f64 (sin.f64 x) (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 (*.f64 -1/6 y) y -1)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)))) (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (.f64 y y) 1/6))))
(.f64 (/.f64 (sin.f64 x) (+.f64 1 (.f64 (pow.f64 y 6) -1/216))) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 y (.f64 y 1/6)))))
(.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1)) (/.f64 (sin.f64 x) (fma.f64 (pow.f64 y 6) -1/216 1)))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))) (neg.f64 (+.f64 1 (.f64 (.f64 y y) 1/6))))
(/.f64 (.f64 (sin.f64 x) (+.f64 1 (.f64 y (.f64 y 1/6)))) (-.f64 1 (.f64 1/36 (pow.f64 y 4))))
(/.f64 (sin.f64 x) (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 (*.f64 -1/6 y) y -1)))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)))) (neg.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (.f64 y y) 1/6)))))
(.f64 (/.f64 (sin.f64 x) (+.f64 1 (.f64 (pow.f64 y 6) -1/216))) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 y (.f64 y 1/6)))))
(.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1)) (/.f64 (sin.f64 x) (fma.f64 (pow.f64 y 6) -1/216 1)))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.f64 (.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 (.f64 (sin.f64 x) (+.f64 1 (.f64 y (.f64 y 1/6)))) (-.f64 1 (.f64 1/36 (pow.f64 y 4))))
(/.f64 (sin.f64 x) (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 (*.f64 -1/6 y) y -1)))
(.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 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (*.f64 y y) 1/6)))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (+.f64 1 (.f64 y (.f64 y 1/6))))) (/.f64 (sin.f64 x) (.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 6) -1/216))))))
(.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1))) (/.f64 (sin.f64 x) (.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (sqrt.f64 (fma.f64 (pow.f64 y 6) -1/216 1)))))
(.f64 (/.f64 (/.f64 (sin.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 (*.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 y (.f64 y 1/6))))) (sqrt.f64 (-.f64 1 (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 (/.f64 (sin.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (sqrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 (*.f64 y y) 1/6)))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (+.f64 1 (.f64 y (.f64 y 1/6))))) (/.f64 (sin.f64 x) (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 6) -1/216))))))
(.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1))) (/.f64 (sin.f64 x) (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 y 6) -1/216 1)))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 y) y 1)) 2)) (cbrt.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))) (cbrt.f64 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
(.f64 (cbrt.f64 (+.f64 1 (.f64 y (.f64 y 1/6)))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2)) (cbrt.f64 (-.f64 1 (*.f64 1/36 (pow.f64 y 4))))))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1)) 1)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))) 2)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))) 3)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1)) 3) 1/3)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (/.f64 (fma.f64 (*.f64 -1/6 y) y 1) (sin.f64 x)) -1)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 (*.f64 -1/6 y) y 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1)) 2))
(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 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 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 -1/6 y) y 1)))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1)) 3))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 (*.f64 -1/6 y) y 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))

localize60.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 2 (.f64 y (.f64 y 1/6))) 1)
✓	0.0b	(.f64 (sin.f64 x) (-.f64 (+.f64 2 (.f64 y (*.f64 y 1/6))) 1))
	0.1b	(.f64 y (.f64 y 1/6))
	0.3b	(*.f64 y 1/6)

Compiler

Compiled 45 to 31 computations (31.1% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`associate-*r/`
1100×	`associate-*l/`
898×	`distribute-lft-in`
298×	`add-sqr-sqrt`
284×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	296	48
2	3693	48

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 (fma.f64 y (*.f64 y 1/6) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) -1)) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) -1) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sin.f64 x)) (*.f64 (fma.f64 y (*.f64 y 1/6) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 y (*.f64 y 1/6) -1) (sin.f64 x)) (*.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) 2)) (*.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) 2)) (*.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (sin.f64 x)) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (*.f64 y (*.f64 y 1/6))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (sin.f64 x) 2)) (*.f64 1 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) 2))) (*.f64 1 (*.f64 (sin.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) 2))) (*.f64 1 (*.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 2 (sin.f64 x))) (*.f64 1 (*.f64 (fma.f64 y (*.f64 y 1/6) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 y (*.f64 y 1/6)) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 1 (+.f64 (*.f64 y (*.f64 y 1/6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 y (*.f64 y 1/6)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 2) 2) -1) (/.f64 (+.f64 (*.f64 y (*.f64 y 1/6)) 3) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 y (*.f64 y 1/6) 2) 3)) (/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 2) 2) (*.f64 y (*.f64 y 1/6))) 3) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 2) 2) -1)) (+.f64 (*.f64 y (*.f64 y 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (fma.f64 y (*.f64 y 1/6) 2) 3))) (+.f64 (+.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 2) 2) (*.f64 y (*.f64 y 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (fma.f64 y (*.f64 y 1/6) 2) 3))) (+.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 2) 2) (-.f64 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simplify137.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1378×	`associate-/r/`
684×	`associate-+r+`
642×	`associate-r`
632×	`associate-/l*`
586×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	9658
1	1135	9586
2	4830	9452

Stop Event

1×	node limit

Counts

200 → 275

Calls

Call 1

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

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

eval436.0ms (4.8%)

Compiler: Compiled 22722 to 14036 computations (38.2% saved)

prune308.0ms (3.4%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1069	7	1076
Fresh	0	0	0
Picked	0	1	1
Done	1	7	8
Total	1070	15	1085

Error

Counts

1085 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.3b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.9b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
✓	0.1b	(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) y))
▶	30.1b	(+.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) x)
✓	0.8b	(.f64 (sin.f64 x) (-.f64 (+.f64 2 (.f64 y (*.f64 y 1/6))) 1))
✓	0.8b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
	60.6b	(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
✓	30.1b	(.f64 x (fma.f64 (.f64 y y) 1/6 1))
▶	60.9b	(.f64 x (.f64 y (*.f64 1/6 y)))
▶	60.9b	(.f64 x (.f64 1/6 (*.f64 y y)))
▶	60.9b	(.f64 1/6 (.f64 (*.f64 y y) x))
▶	60.9b	(.f64 1/6 (.f64 y (*.f64 y x)))
✓	1.2b	(sin.f64 x)
	30.3b	x

Compiler

Compiled 198 to 137 computations (30.8% saved)

localize36.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 y y) 1/6)
✓	7.5b	(.f64 (.f64 (*.f64 y y) 1/6) x)

Compiler

Compiled 29 to 13 computations (55.2% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`add-sqr-sqrt`
1478×	`*-un-lft-identity`
1374×	`add-cube-cbrt`
1358×	`add-cbrt-cube`
1344×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	163	32
2	1934	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1488×	`distribute-lft-out`
1232×	`fma-def`
952×	`log-prod`
502×	`unswap-sqr`
484×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	996
1	173	996
2	725	996
3	2249	996
4	4810	996

Stop Event

1×	node limit

Counts

60 → 31

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`add-sqr-sqrt`
1520×	`*-un-lft-identity`
1412×	`add-cube-cbrt`
1390×	`add-cbrt-cube`
1374×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	162	32
2	1922	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1348×	`fma-def`
1036×	`log-prod`
804×	`associate-/r*`
672×	`associate-*r/`
630×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1152
1	170	1152
2	776	1152
3	2425	1152
4	6927	1152

Stop Event

1×	node limit

Counts

72 → 30

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/6 (.f64 (*.f64 y y) x))
✓	7.6b	(.f64 (.f64 y y) x)

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`add-sqr-sqrt`
1486×	`*-un-lft-identity`
1382×	`add-cube-cbrt`
1364×	`add-cbrt-cube`
1350×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	163	32
2	1949	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1582×	`distribute-lft-out`
1320×	`fma-def`
1006×	`log-prod`
560×	`unswap-sqr`
368×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1152
1	173	1152
2	747	1152
3	2381	1152
4	5043	1152

Stop Event

1×	node limit

Counts

72 → 30

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/6 (.f64 y y))
✓	7.5b	(.f64 x (.f64 1/6 (*.f64 y y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`add-sqr-sqrt`
1482×	`*-un-lft-identity`
1378×	`add-cube-cbrt`
1362×	`add-cbrt-cube`
1348×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	163	32
2	1938	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1528×	`distribute-lft-in`
1516×	`distribute-rgt-in`
1186×	`fma-def`
776×	`*-commutative`
716×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	996
1	175	996
2	680	996
3	2109	996
4	7327	996

Stop Event

1×	node limit

Counts

60 → 30

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (.f64 1/6 y))
✓	0.3b	(*.f64 1/6 y)
✓	7.5b	(.f64 x (.f64 y (*.f64 1/6 y)))

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`add-sqr-sqrt`
1520×	`*-un-lft-identity`
1412×	`add-cube-cbrt`
1388×	`add-cbrt-cube`
1372×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	39
1	161	39
2	1910	39

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1294×	`associate-*r/`
1102×	`unswap-sqr`
1094×	`associate-*l/`
492×	`associate-/l*`
456×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	1222
1	210	1156
2	959	1084
3	4053	1084

Stop Event

1×	node limit

Counts

72 → 49

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

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

eval46.0ms (0.5%)

Compiler: Compiled 1623 to 953 computations (41.3% saved)

prune29.0ms (0.3%)

Pruning

21 alts after pruning (9 fresh and 12 done)

	Pruned	Kept	Total
New	163	7	170
Fresh	0	2	2
Picked	0	1	1
Done	1	11	12
Total	164	21	185

Error

Counts

185 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.3b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.9b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
✓	0.1b	(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) y))
	61.2b	(-.f64 (+.f64 1 (.f64 (.f64 y y) (*.f64 x 1/6))) 1)
	30.3b	(+.f64 (-.f64 (+.f64 1 (.f64 (.f64 x y) (*.f64 y 1/6))) 1) x)
✓	30.1b	(+.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) x)
✓	0.8b	(.f64 (sin.f64 x) (-.f64 (+.f64 2 (.f64 y (*.f64 y 1/6))) 1))
✓	0.8b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
	60.6b	(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
	60.9b	(.f64 y (.f64 (*.f64 1/6 y) x))
	60.9b	(.f64 y (.f64 y (*.f64 x 1/6)))
	60.9b	(.f64 y (.f64 1/6 (*.f64 y x)))
	61.2b	(.f64 x (-.f64 (+.f64 1 (.f64 y (*.f64 y 1/6))) 1))
	61.2b	(.f64 x (.f64 y (-.f64 (+.f64 1 (*.f64 y 1/6)) 1)))
✓	60.9b	(.f64 x (.f64 y (*.f64 1/6 y)))
✓	60.9b	(.f64 x (.f64 1/6 (*.f64 y y)))
✓	60.9b	(.f64 1/6 (.f64 (*.f64 y y) x))
✓	60.9b	(.f64 1/6 (.f64 y (*.f64 y x)))
✓	1.2b	(sin.f64 x)
	30.3b	x

Compiler

Compiled 212 to 151 computations (28.8% saved)

regimes56.0ms (0.6%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	(sin.f64 x)
12.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms	x
12.0ms	y
3.0ms	(/.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 230 to 127 computations (44.8% saved)

regimes81.0ms (0.9%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

43.0ms	x
10.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms	y
10.0ms	(sin.f64 x)
4.0ms	(/.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 197 to 114 computations (42.1% saved)

regimes69.0ms (0.8%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(sin.f64 x)
10.0ms	y
9.0ms	x

Results

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

Compiler

Compiled 175 to 101 computations (42.3% saved)

regimes31.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(sin.f64 x)

Calls

3 calls:

10.0ms	x
9.0ms	(sin.f64 x)
8.0ms	y

Results

Error	Segments	Branch
1.2b	1	`x`
1.2b	1	`y`
1.2b	1	`(sin.f64 x)`

Compiler

Compiled 143 to 82 computations (42.7% saved)

regimes18.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
7.0ms	x

Results

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

Compiler

Compiled 113 to 68 computations (39.8% saved)

regimes13.0ms (0.1%)

Accuracy

Total -30.9b remaining (-101.9%)

Threshold costs -30.9b (-101.9%)

Counts

8 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Error	Segments	Branch
30.3b	1	`x`
30.3b	1	`y`

Compiler

Compiled 58 to 32 computations (44.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	102
1	31	102

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 48 to 33 computations (31.3% saved)

soundness0.0ms (0%)

end58.0ms (0.6%)

Compiler: Compiled 38 to 19 computations (50% saved)