Details

analyze247.0ms (2.8%)

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)

sample3.4s (39.5%)

Results

867.0ms	1988×	body	1024	infinite
864.0ms	2102×	body	1024	valid
837.0ms	5130×	body	256	valid
331.0ms	2087×	body	256	infinite
267.0ms	1044×	body	512	infinite
229.0ms	1021×	body	512	valid
2.0ms	3×	body	2048	valid

Bogosity

preprocess61.0ms (0.7%)

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)

simplify55.0ms (0.6%)

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

0.04%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.04%	(*.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
✓	0.01%	(sin.f64 x)
✓	0.02%	(/.f64 (sinh.f64 y) y)
✓	0.02%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series13.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	y	@	inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	x	@	inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	y	@	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	x	@	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

rewrite85.0ms (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 → 187

Calls

Call 1

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

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

((#(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 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 (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 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.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 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 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 log1p.f64 (expm1.f64 (sin.f64 x)))))))

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1876×	`distribute-lft-in`
922×	`associate-l`
864×	`associate-r`
774×	`times-frac`
572×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	500	6431
1	1265	6205
2	6537	6205

Stop Event

1×	node limit

Counts

227 → 282

Calls

Call 1

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

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

eval283.0ms (3.3%)

Compiler: Compiled 4234 to 1457 computations (65.6% saved)

prune67.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	276	6	282
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	277	6	283

Error

Counts

283 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.45%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))
▶	22.44%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
▶	1.41%	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
	44.71%	(*.f64 (log.f64 (exp.f64 (sin.f64 x))) (/.f64 (sinh.f64 y) y))
▶	49.8%	(*.f64 x (/.f64 (sinh.f64 y) y))
▶	1.86%	(sin.f64 x)

Compiler

Compiled 110 to 78 computations (29.1% saved)

localize66.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	0.02%	(/.f64 1 (sinh.f64 y))
✓	0.21%	(/.f64 (sin.f64 x) y)
✓	0.49%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series4.0ms (0%)

Counts

3 → 40

Calls

15 calls:

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

rewrite124.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`*-commutative`
854×	`unswap-sqr`
776×	`associate-/r/`
686×	`swap-sqr`
644×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	233	43
2	3213	43

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

Outputs
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Outputs

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

simplify196.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1836×	`distribute-lft-in`
896×	`times-frac`
858×	`associate-l`
802×	`associate-r`
646×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	478	6672
1	1254	6318
2	6328	6318

Stop Event

1×	node limit

Counts

232 → 269

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 -31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 1)
(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(.f64 1 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (sinh.f64 y))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (sinh.f64 y)))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))
(.f64 (cbrt.f64 (sinh.f64 y)) (.f64 (/.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 2)) (.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 -1 (.f64 (/.f64 (sin.f64 x) y) (neg.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (sinh.f64 y)) (sqrt.f64 (/.f64 (sin.f64 x) y)))
(.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) (sinh.f64 y)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 2)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (.f64 (/.f64 (sin.f64 x) y) (cbrt.f64 (sinh.f64 y))))
(.f64 (/.f64 (sin.f64 x) 1) (.f64 (sinh.f64 y) (/.f64 1 y)))
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(.f64 (.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)
(pow.f64 (sinh.f64 y) -1)
(neg.f64 (/.f64 -1 (sinh.f64 y)))
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))

Outputs
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y)
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y))
(fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (/.f64 -1/12 (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y)))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/240 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)) (/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 7)) (fma.f64 1/240 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)) (/.f64 (.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (sin.f64 x)))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (sin.f64 x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/5040 (pow.f64 y 6)))) (.f64 (+.f64 (.f64 1/120 (pow.f64 y 4)) 1) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (.f64 1/6 (.f64 y y)))) (.f64 (+.f64 1 (.f64 1/120 (pow.f64 y 4))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (/.f64 (*.f64 1/120 (pow.f64 x 5)) y))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (/.f64 x y)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (fma.f64 -1/5040 (/.f64 (pow.f64 x 7) y) (/.f64 1/120 (/.f64 y (pow.f64 x 5)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y -1/6))
(fma.f64 y -1/6 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 -1/6 y (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 7/360 (pow.f64 y 3) (*.f64 y -1/6)))
(+.f64 (.f64 -31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 -31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 -1/6 y (*.f64 7/360 (pow.f64 y 3)))))
(+.f64 (fma.f64 7/360 (pow.f64 y 3) (*.f64 y -1/6)) (fma.f64 -31/15120 (pow.f64 y 5) (/.f64 1 y)))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 1)
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1)
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 2))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 2)) (/.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 2)) (.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) (sinh.f64 y)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 2)) (.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) y))))
(.f64 (sinh.f64 y) (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 2)) (cbrt.f64 (/.f64 (sin.f64 x) y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 -1 (.f64 (/.f64 (sin.f64 x) y) (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
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(.f64 (.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))))
(/.f64 1 (sinh.f64 y))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))
(.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(/.f64 1 (sinh.f64 y))
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)
(/.f64 1 (sinh.f64 y))
(pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3)
(/.f64 1 (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)
(/.f64 1 (sinh.f64 y))
(pow.f64 (sinh.f64 y) -1)
(/.f64 1 (sinh.f64 y))
(neg.f64 (/.f64 -1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))
(/.f64 1 (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3))
(/.f64 1 (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)

Compiler

Compiled 5 to 3 computations (40% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.02%	(/.f64 (sinh.f64 y) y)
✓	0.02%	(*.f64 x (/.f64 (sinh.f64 y) y))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`add-sqr-sqrt`
1802×	`*-un-lft-identity`
1676×	`add-cube-cbrt`
1648×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	167	17
2	2210	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1240×	`associate-r`
1068×	`associate-l`
710×	`associate-+r+`
590×	`associate-+l+`
408×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	1258
1	211	1258
2	753	1246
3	5015	1244

Stop Event

1×	node limit

Counts

46 → 44

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	0.01%	(+.f64 1 (.f64 1/6 (.f64 y y)))
✓	0.02%	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	0.3%	(.f64 1/6 (.f64 y y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series5.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	246	53
2	3047	53

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

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

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1176×	`associate-*r/`
870×	`associate-*l/`
774×	`associate-/r/`
612×	`associate-+r+`
612×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	8620
1	1130	8162
2	4683	7942

Stop Event

1×	node limit

Counts

194 → 250

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))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 (.f64 y (.f64 1/6 y)) 0)
(+.f64 1 (-.f64 (.f64 y (.f64 1/6 y)) 1))
(-.f64 (fma.f64 (*.f64 1/6 y) y 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y)))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) 1/36)) 1))
(pow.f64 (.f64 y (.f64 1/6 y)) 1)
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 1/6 y))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 1/6 y)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 1/6 y))))
(exp.f64 (log.f64 (.f64 y (.f64 1/6 y))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 1/6 y))))
(+.f64 (sin.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(+.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 1/6 y) y 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))))
(-.f64 (+.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(/.f64 (sin.f64 x) (/.f64 1 (fma.f64 (*.f64 1/6 y) y 1)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 (-.f64 1 (.f64 y (*.f64 1/6 y))) (sin.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (-.f64 1 (.f64 y (.f64 1/6 y))))
(/.f64 (.f64 (sin.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) -1/6))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 y 4) 1/36))) (.f64 (sin.f64 x) (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x)) (-.f64 (.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (.f64 y (.f64 1/6 y)) 1))
(/.f64 (.f64 (sin.f64 x) (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36)))) (+.f64 -1 (neg.f64 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (sin.f64 x) (+.f64 -1 (neg.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (+.f64 -1 (neg.f64 (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) -1/6)))))
(/.f64 (.f64 1 (.f64 (sin.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (-.f64 1 (.f64 y (*.f64 1/6 y))))
(/.f64 (.f64 1 (.f64 (sin.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 y 4) 1/36)))) (.f64 (sin.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x)) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x)) (-.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 (.f64 (sin.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) -1/6)))))
(/.f64 (.f64 (.f64 (sin.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) -1/6)))))
(/.f64 (.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1) (sin.f64 x)) (-.f64 (.f64 y (.f64 1/6 y)) 1))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36))) (sin.f64 x)) (+.f64 -1 (neg.f64 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (sin.f64 x)) (+.f64 -1 (neg.f64 (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) -1/6)))))
(/.f64 (.f64 (.f64 (sin.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (.f64 y (*.f64 1/6 y))))
(/.f64 (.f64 (.f64 (sin.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) 1) (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 y 4) 1/36))) 1) (.f64 (sin.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x)) (-.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (.f64 (sin.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) -1/6)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (sin.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (.f64 y (.f64 1/6 y))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y))))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))) (cbrt.f64 (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) 1) (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) -1/6))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) -1/6)))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))))
(pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 1/6 y) y 1)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 1/6 y) y 1)))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 1/6 y) y 1) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(fma.f64 (sin.f64 x) 1 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(fma.f64 1 (sin.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(-.f64 (fma.f64 (*.f64 1/6 y) y 1) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y)))) (/.f64 (pow.f64 y 4) (/.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) 1/36)))
(-.f64 (+.f64 2 (.f64 y (.f64 1/6 y))) 1)
(.f64 1 (fma.f64 (.f64 1/6 y) y 1))
(.f64 (fma.f64 (.f64 1/6 y) y 1) 1)
(.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))
(.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/6 y) y 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2) (cbrt.f64 (fma.f64 (*.f64 1/6 y) y 1)))
(.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 1 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) -1/6)))))
(.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y)))) (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))
(.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))) (+.f64 1 (pow.f64 (.f64 y (*.f64 1/6 y)) 3)))
(.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (fma.f64 (.f64 1/6 y) y 1))
(.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) 1/6))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (-.f64 1 (.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (-.f64 (.f64 y (.f64 1/6 y)) 1) (-.f64 (.f64 y (.f64 1/6 y)) 1))))) (-.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (+.f64 1 (pow.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)) 3))) (+.f64 1 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)) (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)) 1))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1))) (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1))) (cbrt.f64 (fma.f64 (*.f64 1/6 y) y 1))))
(.f64 (.f64 (cbrt.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2))) (.f64 (cbrt.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/6 y) y 1)) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)))) (.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/6 y) y 1)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))))
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 1/6 y) y 1)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (-.f64 1 (.f64 y (*.f64 1/6 y))))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (/.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))))
(/.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (/.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (/.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 y (*.f64 1/6 y)) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (/.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))))
(/.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1) (-.f64 (.f64 y (*.f64 1/6 y)) 1))
(/.f64 (-.f64 1 (.f64 1/46656 (.f64 (pow.f64 y 4) (.f64 (pow.f64 y 4) (pow.f64 y 4))))) (.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))))
(/.f64 (-.f64 1 (.f64 (.f64 (pow.f64 y 4) (pow.f64 y 4)) 1/1296)) (.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) (+.f64 1 (.f64 (pow.f64 y 4) 1/36))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 3)) (.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))) (+.f64 1 (.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) (-.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 (pow.f64 y 4) 1/36) 3)) (.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) (+.f64 1 (.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 (pow.f64 y 4) 1/36))))))
(/.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36))) (+.f64 -1 (neg.f64 (.f64 y (*.f64 y -1/6)))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (+.f64 -1 (neg.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (.f64 y (.f64 1/6 y)) 1))
(/.f64 (.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))))
(/.f64 (.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1) 1) (-.f64 (.f64 y (.f64 1/6 y)) 1))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36))) 1) (+.f64 -1 (neg.f64 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) 1) (+.f64 -1 (neg.f64 (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) -1/6)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (pow.f64 y 4) (pow.f64 y 4)) 1/1296)) (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y))))) (+.f64 1 (.f64 (pow.f64 y 4) 1/36)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 (pow.f64 y 4) 1/36) 3)) (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y))))) (+.f64 1 (.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 (pow.f64 y 4) 1/36)))))
(/.f64 (.f64 (-.f64 1 (.f64 1/46656 (.f64 (pow.f64 y 4) (.f64 (pow.f64 y 4) (pow.f64 y 4))))) (/.f64 1 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))))) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))))) (+.f64 1 (.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) (-.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 1))))
(/.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) 1) (-.f64 1 (.f64 y (*.f64 1/6 y))))
(/.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y))))) (sqrt.f64 (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(/.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (.f64 (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) 1) (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) -1/6)))))
(pow.f64 (fma.f64 (*.f64 1/6 y) y 1) 1)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/6 y) y 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/6 y) y 1) 3) 1/3)
(neg.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 -1 (neg.f64 (.f64 y (*.f64 y -1/6))))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (+.f64 -1 (neg.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) -1/6))))))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/6 y) y 1) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 1/6 y) y 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/6 y) y 1))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/6 y) y 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1)))
(exp.f64 (log1p.f64 (.f64 y (.f64 1/6 y))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/6 y) y 1)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) 1/6 1)
(fma.f64 1 (.f64 y (.f64 1/6 y)) 1)
(fma.f64 (.f64 y (sqrt.f64 1/6)) (.f64 y (sqrt.f64 1/6)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (.f64 y (*.f64 1/6 y))) 1)
(fma.f64 (*.f64 1/6 y) y 1)

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

localize45.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	0.2%	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	22.56%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (0.8%)

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 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(#(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))))))))

simplify137.0ms (1.6%)

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

eval445.0ms (5.1%)

Compiler: Compiled 17196 to 8784 computations (48.9% saved)

prune241.0ms (2.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	950	6	956
Fresh	1	0	1
Picked	0	1	1
Done	1	3	4
Total	952	10	962

Error

Counts

962 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.45%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))
✓	22.44%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
▶	24.29%	(/.f64 (*.f64 y (sin.f64 x)) y)
▶	72.09%	(/.f64 (*.f64 x (sinh.f64 y)) y)
✓	1.41%	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	94.87%	(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
▶	50.23%	(.f64 x (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	1.86%	(sin.f64 x)
▶	45.94%	(log.f64 (exp.f64 (sin.f64 x)))
	50.46%	x

Compiler

Compiled 125 to 88 computations (29.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	0.19%	(*.f64 y (sin.f64 x))
✓	22.56%	(/.f64 (*.f64 y (sin.f64 x)) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite103.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1792×	`add-sqr-sqrt`
1780×	`*-un-lft-identity`
1654×	`add-cube-cbrt`
1628×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	163	28
2	2174	28

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

884×	`associate-/r*`
846×	`unswap-sqr`
844×	`times-frac`
830×	`associate-/l/`
612×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1021
1	423	967
2	1798	947

Stop Event

1×	node limit

Counts

83 → 86

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(+.f64 1 (.f64 1/6 (.f64 y y)))
✓	0.02%	(.f64 x (+.f64 1 (.f64 1/6 (*.f64 y y))))
	0.3%	(.f64 1/6 (.f64 y y))

Compiler

Compiled 30 to 16 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

Outputs

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

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

79 → 90

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 x (sinh.f64 y))
✓	22.44%	(/.f64 (*.f64 x (sinh.f64 y)) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`add-sqr-sqrt`
1858×	`*-un-lft-identity`
1732×	`add-cube-cbrt`
1704×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	167	28
2	2264	28

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify93.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1628×	`associate-/l*`
820×	`*-commutative`
758×	`unswap-sqr`
620×	`associate-/r*`
582×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	3701
1	472	3671
2	1939	1797

Stop Event

1×	node limit

Counts

105 → 91

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	0.18%	(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
	0.3%	(.f64 1/6 (.f64 y y))

Compiler

Compiled 23 to 10 computations (56.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

37 → 35

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	0.11%	(exp.f64 (sin.f64 x))
✓	5.62%	(log.f64 (exp.f64 (sin.f64 x)))

Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite98.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`associate-r`
886×	`add-sqr-sqrt`
876×	`*-un-lft-identity`
826×	`pow1`
808×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	108	14
2	1102	14

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(log.f64 (exp.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))

Outputs

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

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

simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1284×	`unswap-sqr`
712×	`fma-def`
638×	`associate-/l*`
490×	`distribute-lft-out`
464×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	1222
1	372	1156
2	1302	1000
3	4783	992

Stop Event

1×	node limit

Counts

78 → 94

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)
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 (sin.f64 x) 0)
(+.f64 0 (sin.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (+.f64 (sin.f64 x) 1) 1)
(-.f64 (+.f64 0 (+.f64 (sin.f64 x) 1)) 1)
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.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 (.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.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)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(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)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(+.f64 (expm1.f64 (sin.f64 x)) 1)
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) 1) 1)
(*.f64 (exp.f64 (sin.f64 x)) 1)
(*.f64 1 (exp.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (sqrt.f64 (exp.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (cbrt.f64 (exp.f64 (sin.f64 x))))
(.f64 (.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))) (sqrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(.f64 (.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(.f64 (.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)))
(.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (sqrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x))))) (sqrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (cbrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))) (cbrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))) (cbrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(pow.f64 (exp.f64 (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3) 1/3)
(pow.f64 (exp.f64 1) (sin.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 x))))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 x))))

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)))
(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)
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 x (*.f64 x 1/2) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 (fma.f64 -1/8 (pow.f64 x 4) x) (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(+.f64 0 (sin.f64 x))
(sin.f64 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 (log.f64 (exp.f64 (sin.f64 x))) 1)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 (log.f64 (exp.f64 (sin.f64 x))) 1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (+.f64 (sin.f64 x) 1) 1)
(sin.f64 x)
(-.f64 (+.f64 0 (+.f64 (sin.f64 x) 1)) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(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 (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 (.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(sin.f64 x)
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(sin.f64 x)
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(sin.f64 x)
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(sin.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(sin.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(sin.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (cbrt.f64 (sin.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.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)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(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)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(+.f64 (expm1.f64 (sin.f64 x)) 1)
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) 1) 1)
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(*.f64 (exp.f64 (sin.f64 x)) 1)
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(*.f64 1 (exp.f64 (sin.f64 x)))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (sqrt.f64 (exp.f64 (sin.f64 x))))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (cbrt.f64 (exp.f64 (sin.f64 x))))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(.f64 (.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))) (sqrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(.f64 (.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))))
(.f64 (.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (sqrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x))))) (sqrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (cbrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (cbrt.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))) (cbrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))) (cbrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (sin.f64 x))))))
(pow.f64 (exp.f64 (sin.f64 x)) 1)
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) 2)
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 3)
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3) 1/3)
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(pow.f64 (exp.f64 1) (sin.f64 x))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 2))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(log.f64 (exp.f64 (exp.f64 (sin.f64 x))))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 x))))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 x))))
(+.f64 1 (expm1.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))

eval309.0ms (3.6%)

Compiler: Compiled 10864 to 6396 computations (41.1% saved)

prune241.0ms (2.8%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	664	6	670
Fresh	0	1	1
Picked	0	1	1
Done	1	7	8
Total	665	15	680

Error

Counts

680 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.45%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))
✓	22.44%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
▶	72.76%	(/.f64 (*.f64 y x) y)
✓	72.09%	(/.f64 (*.f64 x (sinh.f64 y)) y)
▶	46.02%	(-.f64 (+.f64 (sin.f64 x) 1) 1)
	50.23%	(+.f64 (.f64 (.f64 y y) (*.f64 x 1/6)) x)
✓	1.41%	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	94.87%	(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
✓	50.23%	(.f64 x (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	95.23%	(.f64 x (.f64 1/6 (*.f64 y y)))
▶	95.23%	(.f64 1/6 (.f64 (*.f64 y y) x))
▶	95.21%	(.f64 1/6 (.f64 (*.f64 x y) y))
✓	1.86%	(sin.f64 x)
✓	45.94%	(log.f64 (exp.f64 (sin.f64 x)))
	50.46%	x

Compiler

Compiled 180 to 125 computations (30.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	0.78%	(+.f64 (sin.f64 x) 1)
✓	5.69%	(-.f64 (+.f64 (sin.f64 x) 1) 1)

Compiler

Compiled 16 to 10 computations (37.5% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`add-sqr-sqrt`
1612×	`*-un-lft-identity`
1508×	`add-cube-cbrt`
1496×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	173	16
2	2284	16

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(-.f64 (+.f64 (sin.f64 x) 1) 1)
(+.f64 (sin.f64 x) 1)

Outputs

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

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1570×	`associate-/l*`
1064×	`associate-/r*`
720×	`associate-+r+`
712×	`unswap-sqr`
584×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	1770
1	411	1728
2	1943	1602

Stop Event

1×	node limit

Counts

104 → 107

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	22.43%	(/.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)

rewrite62.0ms (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)))))))

simplify53.0ms (0.6%)

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
✓	0.23%	(.f64 (.f64 x y) y)
✓	0.34%	(.f64 1/6 (.f64 (*.f64 x y) y))

Compiler

Compiled 20 to 7 computations (65% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(.f64 1/6 (.f64 (*.f64 x y) y))
0.0ms	x	@	0	(.f64 1/6 (.f64 (*.f64 x y) y))
0.0ms	x	@	inf	(.f64 1/6 (.f64 (*.f64 x y) y))
0.0ms	y	@	inf	(.f64 1/6 (.f64 (*.f64 x y) y))
0.0ms	y	@	0	(.f64 1/6 (.f64 (*.f64 x y) y))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

72 → 31

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.34%	(.f64 1/6 (.f64 (*.f64 y y) x))
✓	9.71%	(.f64 (.f64 y y) x)

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

72 → 30

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3%	(.f64 1/6 (.f64 y y))
✓	9.55%	(.f64 x (.f64 1/6 (*.f64 y y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	163	19
2	1938	19

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 16

Calls

Call 1

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

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

eval62.0ms (0.7%)

Compiler: Compiled 3073 to 1809 computations (41.1% saved)

prune76.0ms (0.9%)

Pruning

23 alts after pruning (11 fresh and 12 done)

	Pruned	Kept	Total
New	280	9	289
Fresh	0	2	2
Picked	1	0	1
Done	0	12	12
Total	281	23	304

Error

Counts

304 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.45%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))
✓	22.44%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
✓	72.76%	(/.f64 (*.f64 y x) y)
✓	72.09%	(/.f64 (*.f64 x (sinh.f64 y)) y)
✓	46.02%	(-.f64 (+.f64 (sin.f64 x) 1) 1)
	93.96%	(-.f64 (+.f64 x 1) 1)
	95.67%	(-.f64 (+.f64 1 (.f64 1/6 (.f64 (*.f64 y y) x))) 1)
	95.87%	(-.f64 1 1)
	50.23%	(+.f64 (.f64 (.f64 y y) (*.f64 x 1/6)) x)
	51.16%	(*.f64 (/.f64 y 1) (/.f64 x y))
	72.82%	(.f64 (/.f64 1 y) (.f64 y x))
✓	1.41%	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	94.87%	(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
	51.25%	(*.f64 y (/.f64 1 (/.f64 y x)))
	95.21%	(.f64 y (.f64 1/6 (*.f64 y x)))
✓	50.23%	(.f64 x (+.f64 1 (.f64 1/6 (*.f64 y y))))
	50.58%	(.f64 x (.f64 y (/.f64 1 y)))
	95.23%	(.f64 x (.f64 y (*.f64 y 1/6)))
✓	95.23%	(.f64 1/6 (.f64 (*.f64 y y) x))
✓	95.21%	(.f64 1/6 (.f64 (*.f64 x y) y))
✓	1.86%	(sin.f64 x)
✓	45.94%	(log.f64 (exp.f64 (sin.f64 x)))
	50.46%	x

Compiler

Compiled 197 to 140 computations (28.9% saved)

regimes120.0ms (1.4%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

5 calls:

41.0ms	y
15.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
14.0ms	x
14.0ms	(sin.f64 x)
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.04%	1	`x`
0.04%	1	`y`
0.04%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
0.04%	1	`(sin.f64 x)`
0.04%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 213 to 106 computations (50.2% saved)

regimes56.0ms (0.6%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	y
12.0ms	(sin.f64 x)
11.0ms	x
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
1.41%	1	`x`
1.41%	1	`y`
1.41%	1	`(sin.f64 x)`
1.41%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 168 to 90 computations (46.4% saved)

regimes90.0ms (1%)

Counts

22 → 1

Calls

Call 1

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

Outputs
(sin.f64 x)

Calls

4 calls:

57.0ms	y
13.0ms	(sin.f64 x)
12.0ms	x
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
1.86%	1	`x`
1.86%	1	`y`
1.86%	1	`(sin.f64 x)`
1.86%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 158 to 85 computations (46.2% saved)

regimes22.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
50.23%	1	`x`
50.23%	1	`y`

Compiler

Compiled 114 to 63 computations (44.7% saved)

regimes20.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	y
8.0ms	x

Results

Error	Segments	Branch
50.23%	1	`x`
50.23%	1	`y`

Compiler

Compiled 94 to 53 computations (43.6% saved)

regimes47.0ms (0.5%)

Accuracy

Total -29.7b remaining (-92%)

Threshold costs -29.7b (-92%)

Counts

13 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

36.0ms	y
8.0ms	x

Results

Error	Segments	Branch
50.46%	1	`x`
50.46%	1	`y`

Compiler

Compiled 85 to 48 computations (43.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	106
1	29	106

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 50 to 35 computations (30% saved)

soundness0.0ms (0%)

end35.0ms (0.4%)

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