Details

analyze171.0ms (2.6%)

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)

sample3.5s (52.9%)

Results

915.0ms	2149×	body	1024	valid
856.0ms	1936×	body	1024	infinite
829.0ms	5081×	body	256	valid
338.0ms	992×	body	512	infinite
291.0ms	2076×	body	256	infinite
261.0ms	1018×	body	512	valid
5.0ms	8×	body	2048	valid

Bogosity

preprocess61.0ms (0.9%)

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)

simplify50.0ms (0.8%)

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 2 expressions with local error:

New	Error	Program
✓	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)

series10.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite72.0ms (1.1%)

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	32
1	186	32
2	2435	32

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

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

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

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1166×	`associate-/l*`
750×	`distribute-rgt-in`
748×	`distribute-lft-in`
568×	`associate-/l/`
450×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	456	6102
1	1169	5962
2	5012	5942

Stop Event

1×	node limit

Counts

202 → 255

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))
(-.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)))

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

eval50.0ms (0.8%)

Compiler: Compiled 3842 to 1288 computations (66.5% saved)

prune36.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	252	3	255
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	252	4	256

Error

Counts

256 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.5b	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	0.8b	(sin.f64 x)

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize3.0ms (0%)

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

localize29.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 17 computations (48.5% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

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

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

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1696×	`associate-/l*`
1214×	`distribute-lft-in`
1092×	`distribute-rgt-in`
1056×	`*-commutative`
864×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	4408
1	665	4082
2	2601	3948

Stop Event

1×	node limit

Counts

106 → 134

Calls

Call 1

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

Outputs
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
(.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 (+.f64 (.f64 1/6 (.f64 y y)) 1) x (.f64 -1/6 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 3))))
(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 -1/6 (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)))))
(fma.f64 1/120 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 5)) (fma.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) x (.f64 -1/6 (.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (pow.f64 x 3)))))
(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 -1/6 (pow.f64 x 3)))))
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(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`associate-*r/`
1534×	`associate-/l*`
1092×	`associate-*l/`
1014×	`*-commutative`
540×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	192	21
2	2677	21

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

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

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1072×	`associate-/l/`
1042×	`*-commutative`
986×	`associate-/r/`
550×	`unswap-sqr`
496×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	3652
1	721	3566
2	2590	3540

Stop Event

1×	node limit

Counts

110 → 140

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 (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) (/.f64 (sinh.f64 y) y)) 1)
(.f64 1 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (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 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.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 (.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 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.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 (cbrt.f64 (sinh.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.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 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
(.f64 (/.f64 1 y) (.f64 (sin.f64 x) (sinh.f64 y)))
(*.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 (sin.f64 x) (/.f64 (sinh.f64 y) 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) (neg.f64 (neg.f64 y))) (neg.f64 (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 (.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 (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 (/.f64 (sin.f64 x) (neg.f64 y)) (sinh.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))
(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))))

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

eval169.0ms (2.5%)

Compiler: Compiled 5171 to 2664 computations (48.5% saved)

prune43.0ms (0.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	271	3	274
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	271	7	278

Error

Counts

278 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
▶	31.4b	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.5b	(.f64 (sin.f64 x) (+.f64 1 (+.f64 (.f64 y (*.f64 1/6 y)) 0)))
✓	0.5b	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	60.9b	(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
✓	0.8b	(sin.f64 x)

Compiler

Compiled 69 to 50 computations (27.5% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 10 computations (56.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite111.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`add-sqr-sqrt`
1826×	`*-un-lft-identity`
1692×	`add-cube-cbrt`
1672×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	200	23
2	2361	23

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1840×	`log-prod`
1562×	`associate-r`
1410×	`associate-l`
1198×	`associate-+r+`
1156×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	991
1	170	991
2	648	963
3	3945	943

Stop Event

1×	node limit

Counts

37 → 35

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

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sin.f64 x) (+.f64 1 (+.f64 (.f64 y (*.f64 1/6 y)) 0)))
✓	0.1b	(.f64 y (.f64 1/6 y))
✓	0.4b	(*.f64 1/6 y)

Compiler

Compiled 45 to 31 computations (31.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite105.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`associate-*r/`
1108×	`associate-*l/`
698×	`associate-/r*`
404×	`associate-+l+`
328×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	299	45
2	3463	45

Stop Event

1×	node limit

Counts

3 → 227

Calls

Call 1

Inputs
(*.f64 1/6 y)
(.f64 y (.f64 1/6 y))
(.f64 (sin.f64 x) (+.f64 1 (+.f64 (.f64 y (*.f64 1/6 y)) 0)))

Outputs

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

simplify134.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1656×	`associate-/l*`
1432×	`associate-/r*`
998×	`associate-r`
880×	`associate-l`
596×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	554	8723
1	1594	7967
2	7892	7967

Stop Event

1×	node limit

Counts

263 → 299

Calls

Call 1

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

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

localize36.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 16 computations (46.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1940×	`add-sqr-sqrt`
1914×	`*-un-lft-identity`
1786×	`add-cube-cbrt`
1768×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	207	21
2	2510	21

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1756×	`fma-def`
992×	`associate-r`
894×	`associate-l`
626×	`associate-+l-`
624×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	1057
1	187	1037
2	558	1029
3	3167	1029
4	7194	1029

Stop Event

1×	node limit

Counts

45 → 39

Calls

Call 1

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

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

eval221.0ms (3.3%)

Compiler: Compiled 8984 to 5708 computations (36.5% saved)

prune131.0ms (2%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	416	7	423
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	418	12	430

Error

Counts

430 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.4b	(+.f64 (.f64 (.f64 1/6 (*.f64 y y)) x) x)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
	36.0b	(.f64 (sin.f64 x) (+.f64 1 (+.f64 (/.f64 (.f64 (.f64 1/6 y) (.f64 1/6 (.f64 y y))) (/.f64 (.f64 1/6 (*.f64 y y)) y)) 0)))
✓	0.5b	(.f64 (sin.f64 x) (+.f64 1 (+.f64 (.f64 y (*.f64 1/6 y)) 0)))
✓	0.5b	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	60.9b	(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
▶	61.1b	(.f64 x (.f64 (*.f64 1/6 y) y))
▶	61.1b	(.f64 x (.f64 1/6 (*.f64 y y)))
▶	61.1b	(.f64 1/6 (.f64 (*.f64 y y) x))
▶	61.1b	(.f64 1/6 (.f64 (*.f64 x y) y))
✓	0.8b	(sin.f64 x)
	31.6b	x

Compiler

Compiled 198 to 136 computations (31.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 1/6 (.f64 y y))
✓	10.2b	(.f64 (.f64 1/6 (*.f64 y y)) x)

Compiler

Compiled 29 to 13 computations (55.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`add-sqr-sqrt`
1484×	`*-un-lft-identity`
1380×	`add-cube-cbrt`
1362×	`add-cbrt-cube`
1348×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	163	19
2	1945	19

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1730×	`log-prod`
1322×	`distribute-rgt-in`
1292×	`distribute-lft-in`
1252×	`associate-r`
1120×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	694
1	124	694
2	471	694
3	2898	688

Stop Event

1×	node limit

Counts

36 → 20

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`add-sqr-sqrt`
1516×	`*-un-lft-identity`
1408×	`add-cube-cbrt`
1386×	`add-cbrt-cube`
1370×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	162	32
2	1919	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1868×	`distribute-rgt-in`
1838×	`distribute-lft-in`
1270×	`fma-def`
962×	`log-prod`
524×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	1152
1	164	1152
2	716	1152
3	2315	1152

Stop Event

1×	node limit

Counts

72 → 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 (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 1/6 (.f64 x (*.f64 y y)))) 1)
(pow.f64 (.f64 1/6 (.f64 x (*.f64 y y))) 1)
(pow.f64 (.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 x) y)) 2)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x (*.f64 y y)))) 3)
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x (*.f64 y y))) 3) 1/3)
(sqrt.f64 (.f64 1/36 (pow.f64 (.f64 x (*.f64 y y)) 2)))
(log.f64 (pow.f64 (exp.f64 1/6) (.f64 x (.f64 y y))))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x (*.f64 y y))) 3))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x (*.f64 y y)))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x (*.f64 y y)))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (.f64 x (.f64 y y)))) 1))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x (*.f64 y y)))))
(-.f64 (+.f64 1 (.f64 x (.f64 y y))) 1)
(pow.f64 (.f64 x (.f64 y y)) 1)
(pow.f64 (*.f64 (sqrt.f64 x) y) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 y y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 y y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) y))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y y))))
(exp.f64 (log.f64 (.f64 x (.f64 y y))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y y))))

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 1/6 (.f64 (*.f64 y y) x))
✓	10.3b	(.f64 (.f64 y y) x)

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite52.0ms (0.8%)

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))))))))

simplify64.0ms (1%)

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))
✓	10.2b	(.f64 x (.f64 1/6 (*.f64 y y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 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	@	-inf	(.f64 x (.f64 1/6 (*.f64 y y)))

rewrite77.0ms (1.2%)

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	19
1	163	19
2	1938	19

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1556×	`log-prod`
1278×	`distribute-rgt-in`
1250×	`distribute-lft-in`
1050×	`associate-r`
936×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	684
1	120	684
2	423	684
3	2554	684

Stop Event

1×	node limit

Counts

36 → 16

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 (+.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))))

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 1/6 y) y)
	0.4b	(*.f64 1/6 y)
✓	10.2b	(.f64 x (.f64 (*.f64 1/6 y) y))

Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`add-sqr-sqrt`
1524×	`*-un-lft-identity`
1416×	`add-cube-cbrt`
1392×	`add-cbrt-cube`
1376×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	162	32
2	1924	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1872×	`distribute-rgt-in`
1824×	`distribute-lft-in`
1250×	`fma-def`
978×	`log-prod`
514×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	996
1	171	996
2	718	996
3	2317	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 1/6) (*.f64 y y))) 1)
(pow.f64 (.f64 (.f64 x 1/6) (*.f64 y y)) 1)
(pow.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 1/6) y)) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x 1/6) (*.f64 y y))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x 1/6) (*.f64 y y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 x 1/6) (*.f64 y y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (.f64 1/6 (.f64 y y))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x 1/6) (*.f64 y y)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x 1/6) (*.f64 y y))))
(exp.f64 (log.f64 (.f64 (.f64 x 1/6) (*.f64 y y))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x 1/6) (.f64 y y))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x 1/6) (*.f64 y y))))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
(pow.f64 (.f64 1/6 (.f64 y y)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/6) y) 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 (pow.f64 (.f64 1/6 (.f64 y y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) 1/6) y))
(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 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(-.f64 (+.f64 1 (.f64 (.f64 x 1/6) (*.f64 y y))) 1)
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (.f64 (.f64 x 1/6) (*.f64 y y)) 1)
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 1/6) y)) 2)
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (cbrt.f64 (.f64 (.f64 x 1/6) (*.f64 y y))) 3)
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (pow.f64 (.f64 (.f64 x 1/6) (*.f64 y y)) 3) 1/3)
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(sqrt.f64 (pow.f64 (.f64 (.f64 x 1/6) (*.f64 y y)) 2))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(log.f64 (pow.f64 (exp.f64 x) (.f64 1/6 (.f64 y y))))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x 1/6) (*.f64 y y)) 3))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x 1/6) (*.f64 y y))))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(exp.f64 (log.f64 (.f64 (.f64 x 1/6) (*.f64 y y))))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x 1/6) (.f64 y y))) 1))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(log1p.f64 (expm1.f64 (.f64 (.f64 x 1/6) (*.f64 y y))))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(pow.f64 (.f64 1/6 (.f64 y y)) 1)
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(pow.f64 (*.f64 (sqrt.f64 1/6) y) 2)
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) 3)
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(pow.f64 (pow.f64 (.f64 1/6 (.f64 y y)) 3) 1/3)
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(sqrt.f64 (pow.f64 (.f64 1/6 (.f64 y y)) 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) 1/6) y))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 y y)) 3))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 y y))))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(exp.f64 (log.f64 (.f64 1/6 (.f64 y y))))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 y y))) 1))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 y y))))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))

eval68.0ms (1%)

Compiler: Compiled 2011 to 1202 computations (40.2% saved)

prune56.0ms (0.8%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	187	6	193
Fresh	0	2	2
Picked	0	1	1
Done	0	9	9
Total	187	18	205

Error

Counts

205 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	61.3b	(-.f64 (+.f64 1 (.f64 (.f64 x 1/6) (*.f64 y y))) 1)
✓	31.4b	(+.f64 (.f64 (.f64 1/6 (*.f64 y y)) x) x)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
	36.0b	(.f64 (sin.f64 x) (+.f64 1 (+.f64 (/.f64 (.f64 (.f64 1/6 y) (.f64 1/6 (.f64 y y))) (/.f64 (.f64 1/6 (*.f64 y y)) y)) 0)))
✓	0.5b	(.f64 (sin.f64 x) (+.f64 1 (+.f64 (.f64 y (*.f64 1/6 y)) 0)))
✓	0.5b	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	60.9b	(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
	61.1b	(.f64 y (.f64 y (*.f64 x 1/6)))
	61.1b	(.f64 y (.f64 x (*.f64 y 1/6)))
	61.1b	(.f64 y (.f64 1/6 (*.f64 y x)))
	61.3b	(.f64 x (+.f64 1 (-.f64 (.f64 y (*.f64 1/6 y)) 1)))
✓	61.1b	(.f64 x (.f64 (*.f64 1/6 y) y))
✓	61.1b	(.f64 x (.f64 1/6 (*.f64 y y)))
	61.3b	(.f64 1/6 (-.f64 (+.f64 1 (.f64 y (*.f64 y x))) 1))
✓	61.1b	(.f64 1/6 (.f64 (*.f64 y y) x))
✓	61.1b	(.f64 1/6 (.f64 (*.f64 x y) y))
✓	0.8b	(sin.f64 x)
	31.6b	x

Compiler

Compiled 191 to 135 computations (29.3% saved)

regimes85.0ms (1.3%)

Counts

20 → 1

Calls

Call 1

Inputs
x
(.f64 1/6 (.f64 (*.f64 x y) y))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 x (.f64 1/6 (*.f64 y y)))
(.f64 x (.f64 (*.f64 1/6 y) y))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
(+.f64 (.f64 (.f64 1/6 (*.f64 y y)) x) x)
(.f64 1/6 (-.f64 (+.f64 1 (.f64 y (*.f64 y x))) 1))
(.f64 x (+.f64 1 (-.f64 (.f64 y (*.f64 1/6 y)) 1)))
(-.f64 (+.f64 1 (.f64 (.f64 x 1/6) (*.f64 y y))) 1)
(sin.f64 x)
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(.f64 (sin.f64 x) (+.f64 1 (+.f64 (.f64 y (*.f64 1/6 y)) 0)))
(.f64 (sin.f64 x) (+.f64 1 (+.f64 (/.f64 (.f64 (.f64 1/6 y) (.f64 1/6 (.f64 y y))) (/.f64 (.f64 1/6 (*.f64 y y)) y)) 0)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))

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

Calls

5 calls:

29.0ms	x
29.0ms	(sin.f64 x)
10.0ms	y
9.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 198 to 113 computations (42.9% saved)

regimes32.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

Inputs
x
(.f64 1/6 (.f64 (*.f64 x y) y))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 x (.f64 1/6 (*.f64 y y)))
(.f64 x (.f64 (*.f64 1/6 y) y))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
(+.f64 (.f64 (.f64 1/6 (*.f64 y y)) x) x)
(.f64 1/6 (-.f64 (+.f64 1 (.f64 y (*.f64 y x))) 1))
(.f64 x (+.f64 1 (-.f64 (.f64 y (*.f64 1/6 y)) 1)))
(-.f64 (+.f64 1 (.f64 (.f64 x 1/6) (*.f64 y y))) 1)
(sin.f64 x)
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(.f64 (sin.f64 x) (+.f64 1 (+.f64 (.f64 y (*.f64 1/6 y)) 0)))
(.f64 (sin.f64 x) (+.f64 1 (+.f64 (/.f64 (.f64 (.f64 1/6 y) (.f64 1/6 (.f64 y y))) (/.f64 (.f64 1/6 (*.f64 y y)) y)) 0)))

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

Calls

3 calls:

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

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`
0.5b	1	`(sin.f64 x)`

Compiler

Compiled 169 to 98 computations (42% saved)

regimes29.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

Outputs
(sin.f64 x)

Calls

3 calls:

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

Results

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

Compiler

Compiled 123 to 71 computations (42.3% saved)

regimes63.0ms (0.9%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	y
8.0ms	x

Results

Error	Segments	Branch
31.4b	1	`x`
31.4b	1	`y`

Compiler

Compiled 109 to 64 computations (41.3% saved)

regimes14.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Error	Segments	Branch
31.4b	1	`x`
31.4b	1	`y`

Compiler

Compiled 67 to 38 computations (43.3% saved)

regimes13.0ms (0.2%)

Accuracy

Total -29.8b remaining (-94.2%)

Threshold costs -29.8b (-94.2%)

Counts

8 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Error	Segments	Branch
31.6b	1	`x`
31.6b	1	`y`

Compiler

Compiled 58 to 33 computations (43.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	106
1	28	106

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 50 to 35 computations (30% saved)

soundness0.0ms (0%)

end33.0ms (0.5%)

Compiler: Compiled 40 to 21 computations (47.5% saved)

Details

analyze171.0ms (2.6%)

sample3.5s (52.9%)

preprocess61.0ms (0.9%)

simplify50.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series10.0ms (0.1%)

rewrite72.0ms (1.1%)

simplify85.0ms (1.3%)

eval50.0ms (0.8%)

prune36.0ms (0.5%)

localize3.0ms (0%)

localize29.0ms (0.4%)

series3.0ms (0%)

rewrite69.0ms (1%)

simplify87.0ms (1.3%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite65.0ms (1%)

simplify66.0ms (1%)

eval169.0ms (2.5%)

prune43.0ms (0.6%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite111.0ms (1.7%)

simplify56.0ms (0.8%)

localize19.0ms (0.3%)

series2.0ms (0%)

rewrite105.0ms (1.6%)

simplify134.0ms (2%)

localize36.0ms (0.5%)

series4.0ms (0.1%)

rewrite67.0ms (1%)

simplify66.0ms (1%)

eval221.0ms (3.3%)

prune131.0ms (2%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite51.0ms (0.8%)

simplify47.0ms (0.7%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite95.0ms (1.4%)

simplify72.0ms (1.1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (0.8%)

simplify64.0ms (1%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite77.0ms (1.2%)

simplify44.0ms (0.7%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite95.0ms (1.4%)

simplify51.0ms (0.8%)

eval68.0ms (1%)

prune56.0ms (0.8%)

regimes85.0ms (1.3%)

regimes32.0ms (0.5%)

regimes29.0ms (0.4%)

regimes63.0ms (0.9%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end33.0ms (0.5%)

Profiling