Details

analyze287.0ms (3.8%)

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)

sample3.8s (50.7%)

Results

1.2s	2093×	body	1024	valid
774.0ms	5176×	body	256	valid
770.0ms	2084×	body	1024	infinite
376.0ms	2156×	body	256	infinite
315.0ms	986×	body	512	valid
305.0ms	1025×	body	512	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess66.0ms (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)

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series11.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

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

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

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(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)))))))

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	7241
1	1482	7047

Stop Event

1×	node limit

Counts

271 → 329

Calls

Call 1

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

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

eval78.0ms (1%)

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

prune52.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	326	3	329
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	326	4	330

Error

Counts

330 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.4b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
▶	0.9b	(sin.f64 x)

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize49.0ms (0.7%)

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

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

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simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

151 → 163

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	14.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

150 → 190

Calls

Call 1

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

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

eval162.0ms (2.2%)

Compiler: Compiled 8026 to 4030 computations (49.8% saved)

prune81.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	434	3	437
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	434	7	441

Error

Counts

441 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
▶	15.0b	(/.f64 (*.f64 (sin.f64 x) y) y)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.4b	(.f64 (sin.f64 x) (+.f64 1 (+.f64 1 (-.f64 (.f64 y (*.f64 y 1/6)) 1))))
✓	0.4b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
▶	30.5b	(.f64 x (fma.f64 (.f64 y y) 1/6 1))
✓	0.9b	(sin.f64 x)

Compiler

Compiled 68 to 49 computations (27.9% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 12 computations (47.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

39 → 24

Calls

Call 1

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

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

localize69.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sin.f64 x) (+.f64 1 (+.f64 1 (-.f64 (.f64 y (*.f64 y 1/6)) 1))))
	0.1b	(.f64 y (.f64 y 1/6))
	0.3b	(*.f64 y 1/6)
✓	2.6b	(+.f64 1 (-.f64 (.f64 y (.f64 y 1/6)) 1))

Compiler

Compiled 57 to 41 computations (28.1% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`associate-*l/`
498×	`associate-+l+`
460×	`associate-/r*`
406×	`associate-+r+`
320×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	311	38
2	4270	38

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

Outputs

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

simplify150.0ms (2%)

Algorithm

1×	egg-herbie

Rules

802×	`associate-+l+`
698×	`associate-/l/`
694×	`associate-+r+`
652×	`associate-/r/`
594×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	8076
1	1081	7794
2	4355	7792

Stop Event

1×	node limit

Counts

184 → 240

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 y 1/6)) 0)
(-.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y 1/6) 1))) 2)
(-.f64 (+.f64 (.f64 y (.f64 y 1/6)) 2) 2)
(-.f64 (/.f64 1 (-.f64 2 (.f64 y (.f64 y 1/6)))) (/.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 2) (-.f64 2 (.f64 y (*.f64 y 1/6)))))
(-.f64 (/.f64 1 (-.f64 2 (.f64 y (.f64 y 1/6)))) (-.f64 (/.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 2) (-.f64 2 (.f64 y (*.f64 y 1/6)))) 0))
(-.f64 (/.f64 1 (-.f64 2 (.f64 y (.f64 y 1/6)))) (+.f64 (/.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 2) (-.f64 2 (.f64 y (*.f64 y 1/6)))) 0))
(-.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 y 1/6)))) (-.f64 (/.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 2) (-.f64 1 (.f64 y (.f64 y 1/6)))) -1))
(-.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 y 1/6)))) (+.f64 (/.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 2) (-.f64 1 (.f64 y (.f64 y 1/6)))) 1))
(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 2) (fma.f64 y (.f64 y 1/6) 1)) (-.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)) 1))
(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 3) (+.f64 (fma.f64 y (.f64 y 1/6) 1) (pow.f64 (.f64 y (.f64 y 1/6)) 2))) (-.f64 (/.f64 1 (+.f64 (fma.f64 y (.f64 y 1/6) 1) (pow.f64 (.f64 y (.f64 y 1/6)) 2))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 2) (fma.f64 y (.f64 y 1/6) 1))) (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 3) (+.f64 (fma.f64 y (.f64 y 1/6) 1) (pow.f64 (.f64 y (.f64 y 1/6)) 2)))) (/.f64 1 (+.f64 (fma.f64 y (.f64 y 1/6) 1) (pow.f64 (.f64 y (.f64 y 1/6)) 2))))
(.f64 1 (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 y 1/6))
(.f64 1/6 (.f64 y y))
(.f64 (.f64 y 1/6) y)
(.f64 (.f64 y (*.f64 y 1/6)) 1)
(.f64 (.f64 y (sqrt.f64 1/6)) (*.f64 y (sqrt.f64 1/6)))
(.f64 (.f64 y (sqrt.f64 1/6)) (.f64 (.f64 y (sqrt.f64 1/6)) 1))
(.f64 (sqrt.f64 (.f64 y 1/6)) (.f64 (sqrt.f64 (.f64 y 1/6)) y))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 y 1/6)))
(.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) (pow.f64 (cbrt.f64 (.f64 y (*.f64 y 1/6))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 2) (cbrt.f64 (.f64 y (*.f64 y 1/6))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 2) (.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 1))
(.f64 (pow.f64 (cbrt.f64 (.f64 y 1/6)) 2) (.f64 (cbrt.f64 (.f64 y 1/6)) y))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (*.f64 y 1/6)))
(.f64 (.f64 y y) 1/6)
(.f64 (-.f64 1 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 2)) (/.f64 1 (-.f64 2 (.f64 y (.f64 y 1/6)))))
(.f64 (+.f64 1 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 2) (-.f64 2 (.f64 y (*.f64 y 1/6))))))
(.f64 (.f64 y (sqrt.f64 (.f64 y 1/6))) (sqrt.f64 (.f64 y 1/6)))
(.f64 (.f64 y (pow.f64 (cbrt.f64 (.f64 y 1/6)) 2)) (cbrt.f64 (.f64 y 1/6)))
(.f64 (.f64 (*.f64 y 1/6) (sqrt.f64 y)) (sqrt.f64 y))
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(fma.f64 1 (sin.f64 x) (.f64 (.f64 y (*.f64 y 1/6)) (sin.f64 x)))
(fma.f64 (sin.f64 x) 1 (.f64 (.f64 y (*.f64 y 1/6)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (.f64 (.f64 y (*.f64 y 1/6)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (.f64 (.f64 y (*.f64 y 1/6)) (sin.f64 x)))

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

localize49.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 x) y)
✓	14.2b	(/.f64 (*.f64 (sin.f64 x) y) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`add-sqr-sqrt`
1564×	`*-un-lft-identity`
1454×	`add-cube-cbrt`
1430×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	163	16
2	2192	16

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1460×	`associate-/r*`
1338×	`associate-/l/`
872×	`associate-/r/`
776×	`unswap-sqr`
728×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1197
1	381	1185
2	1941	1165

Stop Event

1×	node limit

Counts

101 → 80

Calls

Call 1

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

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

eval160.0ms (2.1%)

Compiler: Compiled 7983 to 5340 computations (33.1% saved)

prune108.0ms (1.4%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	380	7	387
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	381	13	394

Error

Counts

394 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
✓	15.0b	(/.f64 (*.f64 (sin.f64 x) y) y)
▶	44.8b	(/.f64 (*.f64 y x) y)
	30.5b	(+.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) x)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.4b	(.f64 (sin.f64 x) (+.f64 1 (+.f64 1 (-.f64 (.f64 y (*.f64 y 1/6)) 1))))
✓	0.4b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
▶	1.1b	(.f64 y (.f64 (sin.f64 x) (/.f64 1 y)))
▶	60.7b	(.f64 x (.f64 1/6 (*.f64 y y)))
▶	60.7b	(.f64 1/6 (.f64 y (*.f64 y x)))
▶	60.7b	(.f64 1/6 (.f64 x (*.f64 y y)))
✓	0.9b	(sin.f64 x)
	30.7b	x

Compiler

Compiled 171 to 116 computations (32.2% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (.f64 (sin.f64 x) (/.f64 1 y)))
✓	0.3b	(*.f64 (sin.f64 x) (/.f64 1 y))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`add-sqr-sqrt`
1872×	`*-un-lft-identity`
1734×	`add-cube-cbrt`
1704×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	199	28
2	2403	28

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1474×	`times-frac`
1066×	`associate-/l*`
746×	`unswap-sqr`
674×	`associate-+r-`
612×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	897
1	280	893
2	1020	889
3	7124	889

Stop Event

1×	node limit

Counts

87 → 58

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.2b	(/.f64 (*.f64 y x) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1436×	`*-un-lft-identity`
1340×	`add-cube-cbrt`
1318×	`add-cbrt-cube`
1306×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	126	13
2	1753	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1434×	`associate-/l*`
1290×	`associate-*r/`
1122×	`associate-+r+`
1018×	`associate-+l+`
810×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	393
1	284	339
2	1195	339
3	6718	339

Stop Event

1×	node limit

Counts

65 → 48

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/6 (.f64 x (*.f64 y y)))
✓	6.4b	(.f64 x (.f64 y y))

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`add-sqr-sqrt`
1490×	`*-un-lft-identity`
1386×	`add-cube-cbrt`
1368×	`add-cbrt-cube`
1354×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	163	32
2	1953	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1536×	`distribute-lft-out`
1266×	`fma-def`
926×	`log-prod`
518×	`unswap-sqr`
450×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1152
1	172	1152
2	702	1152
3	2206	1152
4	4759	1152

Stop Event

1×	node limit

Counts

72 → 33

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

Outputs
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(-.f64 (+.f64 1 (.f64 x (.f64 y y))) 1)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(pow.f64 (.f64 x (.f64 y y)) 1)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) 3)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(pow.f64 (pow.f64 (.f64 x (.f64 y y)) 3) 1/3)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(sqrt.f64 (.f64 (pow.f64 y 4) (.f64 x x)))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(log.f64 (pow.f64 (exp.f64 (*.f64 y y)) x))
(.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))
(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 y y) 1/6))) 1)
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (.f64 x (.f64 (*.f64 y y) 1/6)) 1)
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (.f64 (sqrt.f64 (.f64 x 1/6)) y) 2)
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (*.f64 y y) 1/6))) 3)
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (pow.f64 (.f64 x (.f64 (*.f64 y y) 1/6)) 3) 1/3)
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(sqrt.f64 (.f64 (.f64 (pow.f64 y 4) (*.f64 x x)) 1/36))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 y y)) x) 1/6))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (*.f64 y y) 1/6)) 3))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (*.f64 y y) 1/6))))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(exp.f64 (log.f64 (.f64 x (.f64 (*.f64 y y) 1/6))))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 (.f64 y y) 1/6))) 1))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (*.f64 y y) 1/6))))
(.f64 x (.f64 y (*.f64 y 1/6)))
(.f64 y (.f64 (*.f64 y 1/6) x))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.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 y (.f64 y x))
✓	0.2b	(.f64 1/6 (.f64 y (*.f64 y x)))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite86.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

72 → 30

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/6 (.f64 y y))
✓	6.4b	(.f64 x (.f64 1/6 (*.f64 y y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

60 → 30

Calls

Call 1

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

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

eval233.0ms (3.1%)

Compiler: Compiled 1963 to 965 computations (50.8% saved)

prune69.0ms (0.9%)

Pruning

24 alts after pruning (14 fresh and 10 done)

	Pruned	Kept	Total
New	187	12	199
Fresh	0	2	2
Picked	1	0	1
Done	0	10	10
Total	188	24	212

Error

Counts

212 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
✓	15.0b	(/.f64 (*.f64 (sin.f64 x) y) y)
✓	44.8b	(/.f64 (*.f64 y x) y)
	60.6b	(-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)
	61.0b	(-.f64 (+.f64 1 (.f64 (.f64 y y) (*.f64 x 1/6))) 1)
	30.5b	(+.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) x)
	44.8b	(.f64 (/.f64 1 y) (.f64 y x))
	60.7b	(.f64 (.f64 1/6 y) (*.f64 y x))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.4b	(.f64 (sin.f64 x) (+.f64 1 (+.f64 1 (-.f64 (.f64 y (*.f64 y 1/6)) 1))))
✓	0.4b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
	31.0b	(*.f64 y (/.f64 x y))
	31.1b	(*.f64 y (/.f64 1 (/.f64 y x)))
	60.7b	(.f64 y (.f64 (*.f64 y 1/6) x))
✓	1.1b	(.f64 y (.f64 (sin.f64 x) (/.f64 1 y)))
	60.7b	(.f64 y (.f64 y (*.f64 1/6 x)))
	60.7b	(.f64 y (.f64 1/6 (*.f64 y x)))
	61.1b	(.f64 x (-.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) 1))
	30.7b	(.f64 x (.f64 y (/.f64 1 y)))
	60.7b	(.f64 x (.f64 y (*.f64 y 1/6)))
✓	60.7b	(.f64 1/6 (.f64 y (*.f64 y x)))
✓	60.7b	(.f64 1/6 (.f64 x (*.f64 y y)))
✓	0.9b	(sin.f64 x)
	30.7b	x

Compiler

Compiled 223 to 154 computations (30.9% saved)

regimes122.0ms (1.6%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

5 calls:

70.0ms	y
17.0ms	x
13.0ms	(sin.f64 x)
12.0ms	(*.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 217 to 118 computations (45.6% saved)

regimes49.0ms (0.6%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
12.0ms	(sin.f64 x)
11.0ms	y

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(sin.f64 x)`

Compiler

Compiled 188 to 103 computations (45.2% saved)

regimes91.0ms (1.2%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
13.0ms	y
13.0ms	(sin.f64 x)

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(sin.f64 x)`

Compiler

Compiled 174 to 93 computations (46.6% saved)

regimes39.0ms (0.5%)

Counts

22 → 1

Calls

Call 1

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

Outputs
(sin.f64 x)

Calls

3 calls:

12.0ms	(sin.f64 x)
12.0ms	y
11.0ms	x

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`y`
0.9b	1	`(sin.f64 x)`

Compiler

Compiled 164 to 87 computations (47% saved)

regimes25.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	y
10.0ms	x

Results

Error	Segments	Branch
30.5b	1	`x`
30.5b	1	`y`

Compiler

Compiled 136 to 73 computations (46.3% saved)

regimes58.0ms (0.8%)

Accuracy

Total -30.7b remaining (-100.2%)

Threshold costs -30.7b (-100.2%)

Counts

14 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

47.0ms	x
8.0ms	y

Results

Error	Segments	Branch
30.7b	1	`x`
30.7b	1	`y`

Compiler

Compiled 96 to 49 computations (49% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
10×	`+-commutative`
2×	`sub-neg`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	122
1	39	122
2	40	122

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

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

Compiler

Compiled 55 to 40 computations (27.3% saved)

soundness0.0ms (0%)

end75.0ms (1%)

Compiler: Compiled 45 to 27 computations (40% saved)

Details

analyze287.0ms (3.8%)

sample3.8s (50.7%)

preprocess66.0ms (0.9%)

simplify53.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series11.0ms (0.1%)

rewrite78.0ms (1%)

simplify82.0ms (1.1%)

eval78.0ms (1%)

prune52.0ms (0.7%)

localize49.0ms (0.7%)

localize13.0ms (0.2%)

series4.0ms (0%)

rewrite76.0ms (1%)

simplify81.0ms (1.1%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite66.0ms (0.9%)

simplify79.0ms (1%)

eval162.0ms (2.2%)

prune81.0ms (1.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite67.0ms (0.9%)

simplify58.0ms (0.8%)

localize69.0ms (0.9%)

series1.0ms (0%)

rewrite86.0ms (1.2%)

simplify150.0ms (2%)

localize49.0ms (0.7%)

series4.0ms (0.1%)

rewrite55.0ms (0.7%)

simplify45.0ms (0.6%)

eval160.0ms (2.1%)

prune108.0ms (1.4%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite62.0ms (0.8%)

simplify60.0ms (0.8%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite55.0ms (0.7%)

simplify51.0ms (0.7%)

localize6.0ms (0.1%)

series3.0ms (0%)

rewrite85.0ms (1.1%)

simplify69.0ms (0.9%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite86.0ms (1.1%)

simplify70.0ms (0.9%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite70.0ms (0.9%)

simplify76.0ms (1%)

eval233.0ms (3.1%)

prune69.0ms (0.9%)

regimes122.0ms (1.6%)

regimes49.0ms (0.6%)

regimes91.0ms (1.2%)

regimes39.0ms (0.5%)

regimes25.0ms (0.3%)

regimes58.0ms (0.8%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end75.0ms (1%)

Profiling