Details

analyze246.0ms (2.6%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.2s (33.4%)

Results

883.0ms	2052×	body	1024	valid
759.0ms	2054×	body	1024	infinite
698.0ms	5165×	body	256	valid
287.0ms	2120×	body	256	infinite
282.0ms	1006×	body	512	infinite
253.0ms	1037×	body	512	valid
1.0ms	2×	body	2048	valid

Bogosity

preprocess58.0ms (0.6%)

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)

simplify54.0ms (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

0.03%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.03%	(*.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
✓	0.02%	(/.f64 (sinh.f64 y) y)
✓	0.02%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.02%	(sinh.f64 y)

Compiler

Compiled 19 to 6 computations (68.4% saved)

series10.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

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

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

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

simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-r`
1220×	`associate-l`
832×	`times-frac`
820×	`associate-/l/`
594×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	579	7337
1	1484	7073

Stop Event

1×	node limit

Counts

271 → 334

Calls

Call 1

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

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

eval104.0ms (1.1%)

Compiler: Compiled 5150 to 1871 computations (63.7% saved)

prune101.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	328	6	334
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	329	6	335

Error

Counts

335 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	50.79%	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) 2)
▶	0.5%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))
▶	0.02%	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.45%	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	0.88%	(sin.f64 x)
▶	0.19%	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))

Compiler

Compiled 118 to 86 computations (27.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

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

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

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simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

900×	`distribute-rgt-in`
894×	`distribute-lft-in`
554×	`distribute-lft-neg-out`
510×	`distribute-rgt-neg-out`
502×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	5617
1	1010	4499
2	4007	4487

Stop Event

1×	node limit

Counts

179 → 210

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))))
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(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))

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

localize3.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	0.35%	(.f64 1/6 (.f64 y y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series36.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	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))

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

106 → 134

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 1 (sinh.f64 y))
	0.02%	(sinh.f64 y)
✓	0.16%	(/.f64 (sin.f64 x) y)
✓	0.6%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series14.0ms (0.2%)

Counts

3 → 40

Calls

15 calls:

Time	Variable		Point	Expression
12.0ms	y	@	-inf	(/.f64 1 (sinh.f64 y))
0.0ms	x	@	0	(/.f64 (sin.f64 x) y)
0.0ms	y	@	-inf	(/.f64 (sin.f64 x) y)
0.0ms	x	@	inf	(/.f64 (sin.f64 x) y)
0.0ms	y	@	inf	(/.f64 1 (sinh.f64 y))

rewrite94.0ms (1%)

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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((#(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 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simplify111.0ms (1.2%)

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
	0.02%	(sinh.f64 y)
✓	0.26%	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))
✓	0.41%	(log1p.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series131.0ms (1.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
110.0ms	x	@	inf	(log1p.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))))
14.0ms	x	@	-inf	(log1p.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))))
3.0ms	x	@	0	(log1p.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))))
1.0ms	y	@	0	(log1p.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))))
1.0ms	y	@	inf	(log1p.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))))

rewrite110.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`associate-/l*`
1372×	`associate-*l/`
1084×	`*-commutative`
554×	`associate-/r/`
314×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	230	46
2	2919	46

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))

Outputs

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

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

simplify209.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1410×	`associate-+r+`
798×	`associate-r`
774×	`associate-/l*`
666×	`*-commutative`
646×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	564	9747
1	1516	9657
2	6537	9657

Stop Event

1×	node limit

Counts

241 → 318

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2) (pow.f64 x 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3))) (.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))) (pow.f64 x 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2) (pow.f64 x 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2) (pow.f64 y 2)) (.f64 -3/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 4) (pow.f64 y 4)))) (pow.f64 x 4))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3))) (.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))) (pow.f64 x 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2) (pow.f64 x 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log.f64 (+.f64 1 (sin.f64 x)))
(+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/5 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) (sin.f64 x)) (+.f64 1 (sin.f64 x))))))
(+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/5 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (.f64 1/720 (.f64 (pow.f64 y 6) (+.f64 (.f64 10/9 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (.f64 1/7 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) (pow.f64 y 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3)) (pow.f64 y 3))) (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(+.f64 (.f64 -1/64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 4)) (pow.f64 y 4))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) (pow.f64 y 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3)) (pow.f64 y 3))) (.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 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) (pow.f64 y 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3)) (pow.f64 y 3))) (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(+.f64 (.f64 -1/64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 4)) (pow.f64 y 4))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) (pow.f64 y 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3)) (pow.f64 y 3))) (.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) (/.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))
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(/.f64 (.f64 (.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 2)) 1) 2)
(/.f64 (.f64 (.f64 (sin.f64 x) (sinh.f64 y)) 1) y)
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) 1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) (+.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)) 1) 1) (+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) 3) 1) 1) (+.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) (+.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)) (+.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 2)))
(/.f64 (.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)) 1) (.f64 y 2))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (/.f64 y (neg.f64 (sinh.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 (/.f64 y (neg.f64 (sinh.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sinh.f64 y)) (/.f64 y (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.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 (sqrt.f64 (sinh.f64 y)) (sin.f64 x)) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (sin.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(/.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 1 (.f64 (/.f64 (sin.f64 x) 1) (sinh.f64 y))) y)
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y))))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y))))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y)))) 1)
(/.f64 (.f64 (sqrt.f64 (sin.f64 x)) (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (sinh.f64 y))) y)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y)))) 1)
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y))))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) y)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y))))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(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 y (neg.f64 (sinh.f64 y)))))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (sinh.f64 y) y))))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 y (neg.f64 (sinh.f64 y)))) 1))
(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))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))

Outputs
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) (/.f64 y x))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2) (pow.f64 x 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(fma.f64 -1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2) (/.f64 (.f64 y y) (.f64 x x))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2) (.f64 y y)) (.f64 x x)) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) (/.f64 y x)))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3))) (.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))) (pow.f64 x 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2) (pow.f64 x 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(fma.f64 1/6 (.f64 (fma.f64 1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)) (.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (pow.f64 x 3)) (fma.f64 -1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2) (/.f64 (.f64 y y) (.f64 x x))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))
(fma.f64 1/6 (.f64 (fma.f64 1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)) (.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (pow.f64 x 3)) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2) (.f64 y y)) (.f64 x x)) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) (/.f64 y x))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2) (pow.f64 y 2)) (.f64 -3/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 4) (pow.f64 y 4)))) (pow.f64 x 4))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3))) (.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))) (pow.f64 x 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2) (pow.f64 x 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(fma.f64 1/24 (.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2) (.f64 y y)) (.f64 -3/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 4) (pow.f64 y 4)))) (pow.f64 x 4)) (fma.f64 1/6 (.f64 (fma.f64 1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)) (.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (pow.f64 x 3)) (fma.f64 -1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2) (/.f64 (.f64 y y) (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))))
(fma.f64 1/24 (.f64 (fma.f64 -3/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 4) (pow.f64 y 4)) (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2) (.f64 y y))) (pow.f64 x 4)) (fma.f64 1/6 (.f64 (fma.f64 1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)) (.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (pow.f64 x 3)) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2) (.f64 y y)) (.f64 x x)) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) (/.f64 y x)))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log1p.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(log1p.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log1p.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(log1p.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log1p.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(log1p.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log1p.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(log1p.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log1p.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(log1p.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log1p.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(log1p.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log1p.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(log1p.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(log.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))))
(log1p.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(log1p.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(log.f64 (+.f64 1 (sin.f64 x)))
(log1p.f64 (sin.f64 x))
(+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))))
(+.f64 (log1p.f64 (sin.f64 x)) (/.f64 (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)) (+.f64 1 (sin.f64 x))))
(fma.f64 1/6 (.f64 (/.f64 (.f64 y y) (+.f64 1 (sin.f64 x))) (sin.f64 x)) (log1p.f64 (sin.f64 x)))
(+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/5 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) (sin.f64 x)) (+.f64 1 (sin.f64 x))))))
(+.f64 (log1p.f64 (sin.f64 x)) (fma.f64 1/24 (.f64 (pow.f64 y 4) (fma.f64 1/5 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (/.f64 (.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))) (/.f64 (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)) (+.f64 1 (sin.f64 x)))))
(+.f64 (fma.f64 1/6 (.f64 (/.f64 (.f64 y y) (+.f64 1 (sin.f64 x))) (sin.f64 x)) (log1p.f64 (sin.f64 x))) (.f64 (fma.f64 1/5 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (/.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/5 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (.f64 1/720 (.f64 (pow.f64 y 6) (+.f64 (.f64 10/9 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (.f64 1/7 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))))))))
(+.f64 (log1p.f64 (sin.f64 x)) (fma.f64 1/24 (.f64 (pow.f64 y 4) (fma.f64 1/5 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (/.f64 (.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))) (fma.f64 1/6 (/.f64 (.f64 y y) (/.f64 (+.f64 1 (sin.f64 x)) (sin.f64 x))) (.f64 (*.f64 1/720 (pow.f64 y 6)) (fma.f64 10/9 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3)) (fma.f64 1/7 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))))))
(+.f64 (log1p.f64 (sin.f64 x)) (fma.f64 1/24 (.f64 (pow.f64 y 4) (fma.f64 1/5 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (/.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))) (fma.f64 1/6 (.f64 (/.f64 (.f64 y y) (+.f64 1 (sin.f64 x))) (sin.f64 x)) (.f64 (pow.f64 y 6) (.f64 (-.f64 (fma.f64 10/9 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3)) (/.f64 (.f64 (sin.f64 x) 1/7) (+.f64 1 (sin.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))) 1/720)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
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(/.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y) 1) (fma.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y) 1) -1) (fma.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y) 2))
(/.f64 (fma.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y) 2) (/.f64 (fma.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y) 2) (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) 3) 1) 1) (+.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) (+.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)) (+.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y) 1) 3) -1) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y) 1) (fma.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y) 1) (fma.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y) 1) 3)) (fma.f64 (fma.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y) 1) (fma.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y) 1) (fma.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y) 2)))
(/.f64 (.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)) 1) (.f64 y 2))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (/.f64 y (neg.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (/.f64 y (neg.f64 (sinh.f64 y)))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) (/.f64 (sqrt.f64 (/.f64 y (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 (/.f64 y (neg.f64 (sinh.f64 y)))))
(/.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 y (neg.f64 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2)))
(.f64 (/.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (/.f64 y (neg.f64 (sinh.f64 y))))) (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 x))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sinh.f64 y)) (/.f64 y (cbrt.f64 (sin.f64 x))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (sinh.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (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 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sin.f64 x)) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (sin.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sin.f64 x)) (sqrt.f64 y))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (sin.f64 x)) (cbrt.f64 y))
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (.f64 1 (.f64 (/.f64 (sin.f64 x) 1) (sinh.f64 y))) y)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y))))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y))))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y)))) 1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (.f64 (sqrt.f64 (sin.f64 x)) (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (sinh.f64 y))) y)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y)))) 1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y))))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) y)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y))))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 3)
(*.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 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) -1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 y (neg.f64 (sinh.f64 y)))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 y (neg.f64 (sinh.f64 y)))) 1))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2))
(fabs.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))
(log.f64 (pow.f64 (exp.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 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(exp.f64 (log.f64 (*.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 (sinh.f64 y) (/.f64 (sin.f64 x) y))

eval682.0ms (7.2%)

Compiler: Compiled 24008 to 10098 computations (57.9% saved)

prune280.0ms (2.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1321	5	1326
Fresh	1	0	1
Picked	1	0	1
Done	0	4	4
Total	1323	9	1332

Error

Counts

1332 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.93%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
✓	0.5%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))
▶	49.57%	(/.f64 (/.f64 x y) (/.f64 1 (sinh.f64 y)))
✓	0.02%	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.52%	(/.f64 (sin.f64 x) (+.f64 1 (.f64 (.f64 y y) -1/6)))
▶	0.6%	(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y (sin.f64 x))))
▶	48.92%	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
✓	0.45%	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	0.88%	(sin.f64 x)

Compiler

Compiled 160 to 118 computations (26.3% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (sin.f64 x) (+.f64 1 (.f64 (.f64 y y) -1/6)))
✓	0.35%	(.f64 (.f64 y y) -1/6)

Compiler

Compiled 33 to 17 computations (48.5% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`*-commutative`
888×	`associate-*r/`
752×	`associate-/r*`
616×	`associate-*l/`
590×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	247	38
2	3119	38

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Rules

918×	`associate-/r*`
754×	`distribute-lft-in`
716×	`distribute-rgt-in`
604×	`unswap-sqr`
462×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	5411
1	878	5121
2	2955	5071

Stop Event

1×	node limit

Counts

133 → 178

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
	0.35%	(.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 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
0.0ms	y	@	0	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
0.0ms	y	@	inf	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

45 → 39

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(/.f64 1 (sinh.f64 y))
	0.02%	(sinh.f64 y)
✓	25.47%	(/.f64 (/.f64 x y) (/.f64 1 (sinh.f64 y)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`*-commutative`
800×	`unswap-sqr`
766×	`associate-/r/`
644×	`swap-sqr`
634×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	214	17
2	2989	17

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-+r-`
1194×	`associate-/r*`
946×	`associate-/l/`
860×	`*-commutative`
756×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	2900
1	657	2776
2	2221	2764
3	7850	2764

Stop Event

1×	node limit

Counts

108 → 112

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(sinh.f64 y)
✓	0.21%	(/.f64 y (sin.f64 x))
✓	0.38%	(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y (sin.f64 x))))
✓	0.51%	(*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y (sin.f64 x)))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series7.0ms (0.1%)

Counts

3 → 52

Calls

18 calls:

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

rewrite112.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1796×	`associate-/l*`
1054×	`associate-/r/`
608×	`associate-/l/`
428×	`distribute-lft-neg-in`
386×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	254	53
2	3409	53

Stop Event

1×	node limit

Counts

3 → 273

Calls

Call 1

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

Outputs

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

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

simplify127.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1006×	`associate-/r*`
994×	`associate-r`
974×	`associate-/l*`
898×	`*-commutative`
884×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	736	13587
1	1962	10909

Stop Event

1×	node limit

Counts

325 → 448

Calls

Call 1

Inputs
(/.f64 1 (sin.f64 x))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 5) (+.f64 (.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/6 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))))) (+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 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 (-.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))
(/.f64 y x)
(+.f64 (/.f64 y x) (.f64 1/6 (.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 (.f64 1/6 (.f64 y x)) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 y) (.f64 1/120 y)) (pow.f64 x 3)))))
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(/.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) y))
(/.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) y))
(/.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (sin.f64 x))))
(/.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 y) (sin.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) y))))
(/.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (/.f64 (/.f64 (sin.f64 x) y) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (/.f64 (/.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1)))
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) 3) 1/3)
(neg.f64 (neg.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))))
(neg.f64 (*.f64 (/.f64 y (neg.f64 (sin.f64 x))) (/.f64 1 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) (pow.f64 (/.f64 y (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sin.f64 x)) 3) (/.f64 1 (pow.f64 (sinh.f64 y) 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 x)) 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))) 1)
(.f64 1 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (sinh.f64 y) (pow.f64 (/.f64 y (sin.f64 x)) -1))
(.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)
(.f64 (sqrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(.f64 -1 (.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (sin.f64 x)))
(.f64 -1 (.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) y)))
(.f64 -1 (.f64 (/.f64 (sin.f64 x) y) (neg.f64 (sinh.f64 y))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(.f64 (/.f64 1 y) (.f64 (sinh.f64 y) (sin.f64 x)))
(.f64 (/.f64 1 y) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (sin.f64 x)))
(.f64 (.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (sin.f64 x)) -1)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 y) (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 y)) (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) y))))
(*.f64 (pow.f64 (/.f64 y (sin.f64 x)) -1) (sinh.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) -1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 x))) 2)) (.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) y))))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) (sqrt.f64 (/.f64 y (sin.f64 x)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 y (sin.f64 x)))) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) -1) (neg.f64 (/.f64 (sin.f64 x) y)))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 y (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 y (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sinh.f64 y)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (/.f64 y (sin.f64 x)))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) (sqrt.f64 y)) (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) -1) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(.f64 (/.f64 -1 (neg.f64 y)) (.f64 (sinh.f64 y) (sin.f64 x)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 y)) (cbrt.f64 (.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 y (sin.f64 x)))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) 1) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) 1) (/.f64 (sin.f64 x) 1))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) -1) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 x))) 2)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) y))) 1) (sqrt.f64 (/.f64 (sin.f64 x) y)))
(.f64 (/.f64 (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) y))) (sqrt.f64 y)) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) -1)
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 3)
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) -2))
(log.f64 (exp.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) -1))
(exp.f64 (.f64 (log.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 x)))) 1)
(*.f64 1 (/.f64 y (sin.f64 x)))
(*.f64 y (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 y (sin.f64 x)) 1)
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 x))) (sqrt.f64 (/.f64 y (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 x))) 2) (cbrt.f64 (/.f64 y (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) y)
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 y (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 y (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 x)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 y (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 x)) (cbrt.f64 y))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(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)
(pow.f64 (/.f64 (sin.f64 x) y) -1)
(neg.f64 (neg.f64 (/.f64 y (sin.f64 x))))
(neg.f64 (/.f64 y (neg.f64 (sin.f64 x))))
(neg.f64 (*.f64 (/.f64 y (neg.f64 (sin.f64 x))) 1))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 y (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (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
(/.f64 1 (sin.f64 x))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (.f64 -1/6 (/.f64 (.f64 y y) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) y))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)) (.f64 -1/6 (/.f64 (.f64 y y) (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)) (*.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) y)))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)) (.f64 -1/6 (/.f64 (.f64 y y) (sin.f64 x))))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)) (*.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
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(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 y (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 y (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 x)))
(/.f64 y (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 y (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 y (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 y (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 y (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 x)) (cbrt.f64 y))
(/.f64 y (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 y (sin.f64 x))
(pow.f64 (/.f64 y (sin.f64 x)) 1)
(/.f64 y (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 x))) 2)
(/.f64 y (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 x))) 3)
(/.f64 y (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 x)) 3) 1/3)
(/.f64 y (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) y) -1)
(/.f64 y (sin.f64 x))
(neg.f64 (neg.f64 (/.f64 y (sin.f64 x))))
(/.f64 y (sin.f64 x))
(neg.f64 (/.f64 y (neg.f64 (sin.f64 x))))
(/.f64 y (sin.f64 x))
(neg.f64 (*.f64 (/.f64 y (neg.f64 (sin.f64 x))) 1))
(/.f64 y (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 x)) 2))
(fabs.f64 (/.f64 y (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 y (sin.f64 x))))
(/.f64 y (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 x)))))
(/.f64 y (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 x)) 3))
(/.f64 y (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 y (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 x))))
(/.f64 y (sin.f64 x))
(exp.f64 (log.f64 (/.f64 y (sin.f64 x))))
(/.f64 y (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 x))) 1))
(/.f64 y (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 x))))
(/.f64 y (sin.f64 x))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
	0.16%	(/.f64 (sin.f64 x) y)
✓	0.16%	(*.f64 1/6 (pow.f64 y 3))
✓	0.6%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))

Compiler

Compiled 51 to 33 computations (35.3% saved)

series43.0ms (0.4%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
38.0ms	y	@	0	(/.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
1.0ms	x	@	inf	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
1.0ms	x	@	0	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
1.0ms	y	@	inf	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
1.0ms	x	@	-inf	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))

rewrite103.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`associate-/r/`
762×	`distribute-rgt-in`
760×	`associate-/l/`
728×	`distribute-lft-in`
326×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	329	65
2	4387	65

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

Inputs
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/6 (pow.f64 y 3))
(/.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3))))

Outputs

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

simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1176×	`associate-/r/`
708×	`associate-r`
656×	`*-commutative`
642×	`associate-l`
610×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	493	8681
1	1464	7947
2	5627	7929

Stop Event

1×	node limit

Counts

197 → 257

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x) y)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3)) y)) (/.f64 (.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) x) y))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3)) y)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x) y) (.f64 1/120 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 5)) y))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 7)) y)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x) y) (.f64 1/120 (/.f64 (.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) (pow.f64 x 5)) y)))))
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (.f64 1/36 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 -1/216 (pow.f64 y 5)) (+.f64 (.f64 -1/6 y) (*.f64 1/36 (pow.f64 y 3)))))
(/.f64 6 (pow.f64 y 3))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 36 (/.f64 1 (pow.f64 y 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 216 (/.f64 1 (pow.f64 y 7)))) (*.f64 36 (/.f64 1 (pow.f64 y 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 216 (/.f64 1 (pow.f64 y 7)))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 5))) (.f64 1296 (/.f64 1 (pow.f64 y 9)))))
(/.f64 6 (pow.f64 y 3))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 36 (/.f64 1 (pow.f64 y 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 216 (/.f64 1 (pow.f64 y 7)))) (*.f64 36 (/.f64 1 (pow.f64 y 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 216 (/.f64 1 (pow.f64 y 7)))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 5))) (.f64 1296 (/.f64 1 (pow.f64 y 9)))))
(+.f64 (.f64 (/.f64 (sin.f64 x) y) y) (.f64 (/.f64 (sin.f64 x) y) (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 (/.f64 (sin.f64 x) y) (.f64 1/6 (pow.f64 y 3))) (*.f64 (/.f64 (sin.f64 x) y) y))
(+.f64 (.f64 y (/.f64 (sin.f64 x) y)) (.f64 (*.f64 1/6 (pow.f64 y 3)) (/.f64 (sin.f64 x) y)))
(+.f64 (.f64 (.f64 1/6 (pow.f64 y 3)) (/.f64 (sin.f64 x) y)) (*.f64 y (/.f64 (sin.f64 x) y)))
(+.f64 (.f64 1 (.f64 (/.f64 (sin.f64 x) y) y)) (.f64 1 (.f64 (/.f64 (sin.f64 x) y) (*.f64 1/6 (pow.f64 y 3)))))
(+.f64 (.f64 1 (.f64 (/.f64 (sin.f64 x) y) (.f64 1/6 (pow.f64 y 3)))) (.f64 1 (*.f64 (/.f64 (sin.f64 x) y) y)))
(+.f64 (.f64 1 (.f64 y (/.f64 (sin.f64 x) y))) (.f64 1 (.f64 (*.f64 1/6 (pow.f64 y 3)) (/.f64 (sin.f64 x) y))))
(+.f64 (.f64 1 (.f64 (.f64 1/6 (pow.f64 y 3)) (/.f64 (sin.f64 x) y))) (.f64 1 (*.f64 y (/.f64 (sin.f64 x) y))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 y)) (.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (*.f64 1/6 (pow.f64 y 3)))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (.f64 1/6 (pow.f64 y 3)))) (*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 y)))
(+.f64 (.f64 (.f64 (/.f64 (sin.f64 x) y) y) 1) (.f64 (.f64 (/.f64 (sin.f64 x) y) (*.f64 1/6 (pow.f64 y 3))) 1))
(+.f64 (.f64 (.f64 (/.f64 (sin.f64 x) y) (.f64 1/6 (pow.f64 y 3))) 1) (.f64 (*.f64 (/.f64 (sin.f64 x) y) y) 1))
(+.f64 (.f64 (.f64 y (/.f64 (sin.f64 x) y)) 1) (.f64 (.f64 (*.f64 1/6 (pow.f64 y 3)) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (.f64 (.f64 (.f64 1/6 (pow.f64 y 3)) (/.f64 (sin.f64 x) y)) 1) (.f64 (*.f64 y (/.f64 (sin.f64 x) y)) 1))
(+.f64 (.f64 (neg.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))) (.f64 (neg.f64 (*.f64 1/6 (pow.f64 y 3))) (/.f64 (sin.f64 x) (neg.f64 y))))
(+.f64 (.f64 (neg.f64 (.f64 1/6 (pow.f64 y 3))) (/.f64 (sin.f64 x) (neg.f64 y))) (*.f64 (neg.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y)))) 1)
(.f64 (sin.f64 x) (.f64 (/.f64 1 y) (fma.f64 1/6 (pow.f64 y 3) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(*.f64 (/.f64 (sin.f64 x) y) (neg.f64 (neg.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(.f64 1 (.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y)))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y)) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))))
(.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (fma.f64 1/6 (pow.f64 y 3) y)))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2) (.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) (fma.f64 1/6 (pow.f64 y 3) y)))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 -1 (.f64 (/.f64 (sin.f64 x) y) (neg.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (/.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (fma.f64 1/6 (pow.f64 y 3) y)))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2)) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -2))) (.f64 (/.f64 (sin.f64 x) y) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(.f64 (.f64 (/.f64 (sin.f64 x) 1) (fma.f64 1/6 (pow.f64 y 3) y)) (/.f64 1 y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)))
(.f64 (/.f64 (sin.f64 x) 1) (.f64 (/.f64 1 y) (fma.f64 1/6 (pow.f64 y 3) y)))
(.f64 (.f64 (/.f64 1 y) (fma.f64 1/6 (pow.f64 y 3) y)) (sin.f64 x))
(.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (fma.f64 1/6 (pow.f64 y 3) y)) (/.f64 (sqrt.f64 (sin.f64 x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))) (/.f64 (cbrt.f64 (sin.f64 x)) y))
(.f64 (/.f64 (sin.f64 x) (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -1/2)) (/.f64 1 (.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -1/2) y)))
(.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -2))) (.f64 (/.f64 (/.f64 1 y) 1) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (fma.f64 1/6 (pow.f64 y 3) y)) (sqrt.f64 (/.f64 (sin.f64 x) y)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -2))) (.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2) (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -1/2)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -2))) (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2))) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)))
(.f64 (/.f64 1 (/.f64 1 (.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y)))) (/.f64 1 y))
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2) (fma.f64 1/6 (pow.f64 y 3) y)))) (cbrt.f64 (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (fma.f64 1/6 (pow.f64 y 3) y))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 y (fma.f64 1/6 (pow.f64 y 3) y))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2) (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))) (cbrt.f64 (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) (sin.f64 x))
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(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 x) (cbrt.f64 y)))
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(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y 1)) (sin.f64 x))
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(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) 1) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -2)) y)) 1) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)))
(.f64 (/.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -2)) y)) -1) (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
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(.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) y) (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3)))) (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (.f64 y 1/6) (pow.f64 y 3))) (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (.f64 y 1/6) (pow.f64 y 3)))))) (+.f64 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))) (.f64 (*.f64 y 1/6) (pow.f64 y 3))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) y) (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3)))) (+.f64 (pow.f64 y 6) (pow.f64 (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (.f64 y 1/6) (pow.f64 y 3))) 3))) (-.f64 (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (.f64 y 1/6) (pow.f64 y 3))) (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (.f64 y 1/6) (pow.f64 y 3))))) (.f64 (.f64 y y) (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (*.f64 y 1/6) (pow.f64 y 3))))))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y)) 3) 1/3)
(pow.f64 (.f64 1 (/.f64 y (.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y)))) -1)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) y) (neg.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) y)) (fma.f64 1/6 (pow.f64 y 3) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3) (/.f64 1 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) 1)
(pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 y 3/2)) 2)
(pow.f64 (*.f64 y (cbrt.f64 1/6)) 3)
(pow.f64 (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3)) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 y 6)))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 y 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))))
(cbrt.f64 (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 y 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y)) (.f64 (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6)))) (fma.f64 (neg.f64 (.f64 1/6 (pow.f64 y 3))) 1 (*.f64 1/6 (pow.f64 y 3)))))
(+.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y)) (.f64 (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6)))) (fma.f64 (neg.f64 (pow.f64 y 3)) 1/6 (.f64 1/6 (pow.f64 y 3)))))
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(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6)))) y) (.f64 (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6)))) (.f64 (neg.f64 (pow.f64 (.f64 y (cbrt.f64 1/6)) 2)) (*.f64 y (cbrt.f64 1/6)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3)))) (.f64 y y)) (.f64 (/.f64 1 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3)))) (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (.f64 y 1/6) (pow.f64 y 3)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3)))) (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (.f64 y 1/6) (pow.f64 y 3)))) (.f64 (/.f64 1 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3)))) (.f64 y y)))
(+.f64 (.f64 y (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (.f64 (neg.f64 (.f64 1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (*.f64 1/36 (pow.f64 y 6))))))
(+.f64 (.f64 y (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (.f64 (.f64 -1 (.f64 1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))))
(+.f64 (.f64 y (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (.f64 (.f64 -1/6 (pow.f64 y 3)) (/.f64 1 (-.f64 (.f64 y y) (*.f64 1/36 (pow.f64 y 6))))))
(+.f64 (.f64 y (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (.f64 (.f64 (neg.f64 (pow.f64 y 3)) 1/6) (/.f64 1 (-.f64 (.f64 y y) (*.f64 1/36 (pow.f64 y 6))))))
(+.f64 (.f64 y (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 1/6) (pow.f64 y 3/2))) (.f64 (sqrt.f64 1/6) (pow.f64 y 3/2))) (/.f64 1 (-.f64 (.f64 y y) (*.f64 1/36 (pow.f64 y 6))))))
(+.f64 (.f64 y (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (.f64 (.f64 (neg.f64 (pow.f64 (.f64 y (cbrt.f64 1/6)) 2)) (.f64 y (cbrt.f64 1/6))) (/.f64 1 (-.f64 (.f64 y y) (*.f64 1/36 (pow.f64 y 6))))))
(+.f64 (.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (.f64 (fma.f64 (neg.f64 (.f64 1/6 (pow.f64 y 3))) 1 (.f64 1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (*.f64 1/36 (pow.f64 y 6))))))
(+.f64 (.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (.f64 (fma.f64 (neg.f64 (pow.f64 y 3)) 1/6 (.f64 1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))))
(+.f64 (.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))))
(+.f64 (.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (.f64 (fma.f64 (neg.f64 (.f64 (sqrt.f64 1/6) (pow.f64 y 3/2))) (.f64 (sqrt.f64 1/6) (pow.f64 y 3/2)) (.f64 1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))))
(+.f64 (.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (.f64 (fma.f64 (neg.f64 (.f64 y (cbrt.f64 1/6))) (pow.f64 (.f64 y (cbrt.f64 1/6)) 2) (.f64 1/6 (pow.f64 y 3))) (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))))
(+.f64 (.f64 (.f64 y y) (/.f64 1 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3))))) (.f64 (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (.f64 y 1/6) (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3))))))
(+.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (.f64 y 1/6) (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3))))) (.f64 (.f64 y y) (/.f64 1 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y)))
(.f64 1 (/.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6)))))
(.f64 1 (/.f64 (fma.f64 y y (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (.f64 y 1/6) (pow.f64 y 3)))) (+.f64 (pow.f64 y 3) (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3)))))
(*.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y)) 1)
(*.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -1/2) (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(*.f64 -1 (/.f64 -1 (fma.f64 1/6 (pow.f64 y 3) y)))
(*.f64 (/.f64 -1 (fma.f64 1/6 (pow.f64 y 3) y)) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(.f64 (/.f64 1 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6)))) (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(.f64 (/.f64 1 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3)))) (fma.f64 y y (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (*.f64 y 1/6) (pow.f64 y 3)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) -1) (pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) -1))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (neg.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3))))) (neg.f64 (fma.f64 y y (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (*.f64 y 1/6) (pow.f64 y 3))))))
(.f64 (/.f64 1 (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 y y))) (-.f64 (.f64 1/6 (pow.f64 y 3)) y))
(.f64 (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -1/2) (sqrt.f64 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (sqrt.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))
(.f64 (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -1/2) (sqrt.f64 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3))))) (sqrt.f64 (fma.f64 y y (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (*.f64 y 1/6) (pow.f64 y 3))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3))))) (fma.f64 y y (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (*.f64 y 1/6) (pow.f64 y 3)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2)) (cbrt.f64 (-.f64 (.f64 y y) (.f64 1/36 (pow.f64 y 6))))) (cbrt.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2)) (cbrt.f64 (+.f64 (pow.f64 y 3) (.f64 1/216 (pow.f64 (pow.f64 y 3) 3))))) (cbrt.f64 (fma.f64 y y (-.f64 (.f64 1/36 (pow.f64 y 6)) (.f64 (*.f64 y 1/6) (pow.f64 y 3))))))
(pow.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y)) 1)
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3)) 1/3)
(pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))))

Outputs
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x) y)
(/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y x))
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) x)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3)) y)) (/.f64 (.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) x) y))
(fma.f64 -1/6 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 3))) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y x)))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (/.f64 y (fma.f64 1/6 (pow.f64 y 3) y))) (*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) x))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 x 3) y) (fma.f64 1/6 (pow.f64 y 3) y)) (.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) x))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3)) y)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x) y) (.f64 1/120 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 5)) y))))
(+.f64 (fma.f64 -1/6 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 3))) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y x))) (*.f64 1/120 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 5)))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (/.f64 y (fma.f64 1/6 (pow.f64 y 3) y))) (fma.f64 1/120 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 5))) (*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) x)))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 x 3) y) (fma.f64 1/6 (pow.f64 y 3) y)) (fma.f64 1/120 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 5))) (.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) x)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 7)) y)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x) y) (.f64 1/120 (/.f64 (.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) (pow.f64 x 5)) y)))))
(fma.f64 -1/6 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/5040 (/.f64 (.f64 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 y 3) y)) y) (+.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y x)) (.f64 1/120 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 5)))))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (/.f64 y (fma.f64 1/6 (pow.f64 y 3) y))) (fma.f64 -1/5040 (/.f64 (pow.f64 x 7) (/.f64 y (fma.f64 1/6 (pow.f64 y 3) y))) (fma.f64 1/120 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 5))) (*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) x))))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 x 3) y) (fma.f64 1/6 (pow.f64 y 3) y)) (fma.f64 -1/5040 (.f64 (/.f64 (pow.f64 x 7) y) (fma.f64 1/6 (pow.f64 y 3) y)) (fma.f64 1/120 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 5))) (*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) x))))
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) 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))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y 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))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y 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))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y 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))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y 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))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y 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))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y 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))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(/.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 1/36 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 -1/6 y (*.f64 (pow.f64 y 3) 1/36)))
(+.f64 (/.f64 1 y) (fma.f64 (pow.f64 y 3) 1/36 (*.f64 y -1/6)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 -1/216 (pow.f64 y 5)) (+.f64 (.f64 -1/6 y) (*.f64 1/36 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (fma.f64 -1/216 (pow.f64 y 5) (fma.f64 -1/6 y (*.f64 (pow.f64 y 3) 1/36))))
(+.f64 (/.f64 1 y) (fma.f64 -1/216 (pow.f64 y 5) (fma.f64 (pow.f64 y 3) 1/36 (*.f64 y -1/6))))
(/.f64 6 (pow.f64 y 3))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 36 (/.f64 1 (pow.f64 y 5))))
(-.f64 (/.f64 6 (pow.f64 y 3)) (/.f64 36 (pow.f64 y 5)))
(+.f64 (/.f64 6 (pow.f64 y 3)) (/.f64 -36 (pow.f64 y 5)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 216 (/.f64 1 (pow.f64 y 7)))) (*.f64 36 (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 6 (pow.f64 y 3)) (-.f64 (/.f64 216 (pow.f64 y 7)) (/.f64 36 (pow.f64 y 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 216 (/.f64 1 (pow.f64 y 7)))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 5))) (.f64 1296 (/.f64 1 (pow.f64 y 9)))))
(-.f64 (+.f64 (/.f64 6 (pow.f64 y 3)) (/.f64 216 (pow.f64 y 7))) (+.f64 (/.f64 36 (pow.f64 y 5)) (/.f64 1296 (pow.f64 y 9))))
(+.f64 (/.f64 6 (pow.f64 y 3)) (-.f64 (-.f64 (/.f64 216 (pow.f64 y 7)) (/.f64 36 (pow.f64 y 5))) (/.f64 1296 (pow.f64 y 9))))
(+.f64 (-.f64 (/.f64 216 (pow.f64 y 7)) (/.f64 36 (pow.f64 y 5))) (-.f64 (/.f64 6 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 9))))
(/.f64 6 (pow.f64 y 3))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 36 (/.f64 1 (pow.f64 y 5))))
(-.f64 (/.f64 6 (pow.f64 y 3)) (/.f64 36 (pow.f64 y 5)))
(+.f64 (/.f64 6 (pow.f64 y 3)) (/.f64 -36 (pow.f64 y 5)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 216 (/.f64 1 (pow.f64 y 7)))) (*.f64 36 (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 6 (pow.f64 y 3)) (-.f64 (/.f64 216 (pow.f64 y 7)) (/.f64 36 (pow.f64 y 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 3))) (.f64 216 (/.f64 1 (pow.f64 y 7)))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 5))) (.f64 1296 (/.f64 1 (pow.f64 y 9)))))
(-.f64 (+.f64 (/.f64 6 (pow.f64 y 3)) (/.f64 216 (pow.f64 y 7))) (+.f64 (/.f64 36 (pow.f64 y 5)) (/.f64 1296 (pow.f64 y 9))))
(+.f64 (/.f64 6 (pow.f64 y 3)) (-.f64 (-.f64 (/.f64 216 (pow.f64 y 7)) (/.f64 36 (pow.f64 y 5))) (/.f64 1296 (pow.f64 y 9))))
(+.f64 (-.f64 (/.f64 216 (pow.f64 y 7)) (/.f64 36 (pow.f64 y 5))) (-.f64 (/.f64 6 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 9))))
(+.f64 (.f64 (/.f64 (sin.f64 x) y) y) (.f64 (/.f64 (sin.f64 x) y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 (/.f64 (sin.f64 x) y) (.f64 1/6 (pow.f64 y 3))) (*.f64 (/.f64 (sin.f64 x) y) y))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y (/.f64 (sin.f64 x) y)) (.f64 (*.f64 1/6 (pow.f64 y 3)) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 (.f64 1/6 (pow.f64 y 3)) (/.f64 (sin.f64 x) y)) (*.f64 y (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1 (.f64 (/.f64 (sin.f64 x) y) y)) (.f64 1 (.f64 (/.f64 (sin.f64 x) y) (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
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(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
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(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
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(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
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(.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (+.f64 (neg.f64 y) (.f64 (pow.f64 y 3) -1/6)))
(.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (-.f64 (.f64 (pow.f64 y 3) -1/6) y))
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(.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (+.f64 (neg.f64 y) (.f64 (pow.f64 y 3) -1/6)))
(.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (-.f64 (.f64 (pow.f64 y 3) -1/6) y))
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(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
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(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
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(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
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(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
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(.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (+.f64 (neg.f64 y) (.f64 (pow.f64 y 3) -1/6)))
(.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (-.f64 (.f64 (pow.f64 y 3) -1/6) y))
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(.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (+.f64 (neg.f64 y) (.f64 (pow.f64 y 3) -1/6)))
(.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (-.f64 (.f64 (pow.f64 y 3) -1/6) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y)))) 1)
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(.f64 (sin.f64 x) (.f64 (/.f64 1 y) (fma.f64 1/6 (pow.f64 y 3) y)))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (neg.f64 (neg.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(.f64 1 (.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y)))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y)) 1)
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))
(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/6 (pow.f64 y 3) y))))
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(/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))))
(/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)) -1))
(/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y))) 1))
(/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))))
(/.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))

eval472.0ms (5%)

Compiler: Compiled 27298 to 14028 computations (48.6% saved)

prune441.0ms (4.6%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1377	7	1384
Fresh	0	0	0
Picked	1	0	1
Done	1	7	8
Total	1379	14	1393

Error

Counts

1393 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))
▶	49.91%	(/.f64 (/.f64 x y) (/.f64 1 y))
▶	25.21%	(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
✓	0.02%	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.52%	(/.f64 (sin.f64 x) (+.f64 1 (.f64 (.f64 y y) -1/6)))
✓	0.6%	(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y (sin.f64 x))))
	48.59%	(*.f64 (/.f64 (sinh.f64 y) y) x)
✓	48.92%	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
✓	0.45%	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	95.14%	(.f64 x (.f64 (*.f64 1/6 y) y))
▶	95.14%	(.f64 x (.f64 1/6 (*.f64 y y)))
▶	95.12%	(.f64 1/6 (.f64 y (*.f64 x y)))
✓	0.88%	(sin.f64 x)
	48.94%	x

Compiler

Compiled 191 to 133 computations (30.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
	0.16%	(*.f64 1/6 (pow.f64 y 3))
✓	0.23%	(.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x))
✓	24.91%	(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)

Compiler

Compiled 45 to 29 computations (35.6% saved)

series2.0ms (0%)

Counts

3 → 35

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x))
0.0ms	x	@	0	(.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x))
0.0ms	y	@	-inf	(.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x))
0.0ms	y	@	inf	(.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x))
0.0ms	x	@	0	(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`associate-*r/`
1448×	`associate-*l/`
1410×	`associate-/r*`
282×	`add-sqr-sqrt`
270×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	83
1	282	71
2	3672	71

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x))
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))

Outputs

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

simplify128.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

982×	`associate-/l*`
780×	`associate-r`
708×	`associate-l`
528×	`distribute-lft-neg-in`
522×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	10083
1	1138	9345
2	5899	9285

Stop Event

1×	node limit

Counts

203 → 261

Calls

Call 1

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

Outputs
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x))
(.f64 (.f64 y y) (*.f64 (sin.f64 x) 1/6))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x))
(.f64 (.f64 y y) (*.f64 (sin.f64 x) 1/6))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x) y)
(/.f64 (*.f64 x (fma.f64 1/6 (pow.f64 y 3) y)) y)
(/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y x))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3)) y)) (/.f64 (.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) x) y))
(fma.f64 -1/6 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 1/6 (pow.f64 y 3) y)) y))
(fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) (pow.f64 x 3)) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y x)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3)) y)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x) y) (.f64 1/120 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 5)) y))))
(+.f64 (fma.f64 -1/6 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 3))) (/.f64 (.f64 x (fma.f64 1/6 (pow.f64 y 3) y)) y)) (/.f64 (.f64 1/120 (*.f64 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 y 3) y))) y))
(fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) (pow.f64 x 3)) (fma.f64 1/120 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 5))) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y x))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 7)) y)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x) y) (.f64 1/120 (/.f64 (.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) (pow.f64 x 5)) y)))))
(fma.f64 -1/6 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/5040 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 7))) (+.f64 (/.f64 (.f64 x (fma.f64 1/6 (pow.f64 y 3) y)) y) (/.f64 (.f64 1/120 (*.f64 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 y 3) y))) y))))
(fma.f64 -1/6 (.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) (pow.f64 x 7)) (fma.f64 1/120 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y (pow.f64 x 5))) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 y x)))))
(*.f64 y (sin.f64 x))
(*.f64 (sin.f64 x) y)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y))
(.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (pow.f64 y 3)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y))
(.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (pow.f64 y 3)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y))
(.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x)
(*.f64 x (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 -1/6 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3))) (.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) x))
(fma.f64 -1/6 (.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 y 3) y)) (.f64 x (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 x (fma.f64 1/6 (pow.f64 y 3) y) (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (.f64 (pow.f64 x 3) -1/6)))
(.f64 (fma.f64 1/6 (pow.f64 y 3) y) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 1/120 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3))) (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x)))
(fma.f64 1/120 (.f64 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 y 3) y)) (fma.f64 -1/6 (.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 y 3) y)) (*.f64 x (fma.f64 1/6 (pow.f64 y 3) y))))
(fma.f64 1/120 (.f64 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 y 3) y)) (fma.f64 x (fma.f64 1/6 (pow.f64 y 3) y) (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (*.f64 (pow.f64 x 3) -1/6))))
(fma.f64 1/120 (.f64 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 y 3) y)) (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 1/120 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) x) (.f64 -1/5040 (.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) (pow.f64 x 7))))))
(fma.f64 1/120 (.f64 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 y 3) y)) (fma.f64 -1/6 (.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 y 3) y)) (fma.f64 (fma.f64 1/6 (pow.f64 y 3) y) x (.f64 -1/5040 (.f64 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 y 3) y))))))
(fma.f64 1/120 (.f64 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 y 3) y)) (fma.f64 -1/6 (.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 y 3) y)) (fma.f64 x (fma.f64 1/6 (pow.f64 y 3) y) (.f64 -1/5040 (.f64 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 y 3) y))))))
(+.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 7) -1/5040))) (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
y
(*.f64 1/6 (pow.f64 y 3))
(*.f64 1/6 (pow.f64 y 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y)))) 1)
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 1 (/.f64 y (sin.f64 x))))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (sin.f64 x)) (/.f64 1 y))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y)) 1)
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 1 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y)))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 (sqrt.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (sin.f64 x))) (.f64 (sqrt.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (sin.f64 x))) (/.f64 1 y)))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 (sqrt.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))) (sqrt.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (sin.f64 x))) 2) (.f64 (cbrt.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (sin.f64 x))) (/.f64 1 y)))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 (cbrt.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))) 2))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))) 2) (cbrt.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 (/.f64 1 y) (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (sin.f64 x)))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (neg.f64 (sin.f64 x))) (/.f64 -1 y))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (sin.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sqrt.f64 y) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (sqrt.f64 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 (fma.f64 1/6 (pow.f64 y 3) y) (sin.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (cbrt.f64 y) (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sqrt.f64 y) (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) y) (sin.f64 x))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1) (/.f64 (sin.f64 x) y))
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (sqrt.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sqrt.f64 y) (sin.f64 x))))
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(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 y 3) 3) 3) 1/10077696 (pow.f64 (pow.f64 y 3) 3)) (fma.f64 y y (.f64 (pow.f64 y 3) (.f64 1/6 (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))))) (+.f64 (pow.f64 y 6) (fma.f64 (pow.f64 (pow.f64 y 3) 6) 1/46656 (*.f64 (pow.f64 y 12) -1/216))))
(/.f64 (/.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 y 6) 1/36)) 1) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(/.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y))
(/.f64 (/.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 y 6) 1/36)) (sqrt.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) (sqrt.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))
(/.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y))
(/.f64 (/.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 y 6) 1/36)) (.f64 (cbrt.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) (cbrt.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))) (cbrt.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))
(/.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y))
(/.f64 (/.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 y 6) 1/36)) (+.f64 (sqrt.f64 y) (.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)))) (-.f64 (sqrt.f64 y) (.f64 (pow.f64 y 3/2) (sqrt.f64 1/6))))
(/.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 y 6) 1/36)) (.f64 (-.f64 (sqrt.f64 y) (.f64 (pow.f64 y 3/2) (sqrt.f64 1/6))) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)))))
(/.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (.f64 (fma.f64 (pow.f64 y 3/2) (sqrt.f64 1/6) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)))))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (.f64 (pow.f64 (pow.f64 y 3) 3) 1/216)) 1) (fma.f64 y y (.f64 (.f64 1/6 (pow.f64 y 3)) (-.f64 (.f64 1/6 (pow.f64 y 3)) y))))
(/.f64 (+.f64 (pow.f64 y 3) (.f64 (pow.f64 (pow.f64 y 3) 3) 1/216)) (fma.f64 y y (.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) 1/216 (pow.f64 y 3)) (fma.f64 y y (.f64 (pow.f64 y 3) (.f64 1/6 (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (.f64 (pow.f64 (pow.f64 y 3) 3) 1/216)) (sqrt.f64 (fma.f64 y y (.f64 (.f64 1/6 (pow.f64 y 3)) (-.f64 (.f64 1/6 (pow.f64 y 3)) y))))) (sqrt.f64 (fma.f64 y y (.f64 (.f64 1/6 (pow.f64 y 3)) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))))
(/.f64 (+.f64 (pow.f64 y 3) (.f64 (pow.f64 (pow.f64 y 3) 3) 1/216)) (fma.f64 y y (.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) 1/216 (pow.f64 y 3)) (fma.f64 y y (.f64 (pow.f64 y 3) (.f64 1/6 (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (.f64 (pow.f64 (pow.f64 y 3) 3) 1/216)) (.f64 (cbrt.f64 (fma.f64 y y (.f64 (.f64 1/6 (pow.f64 y 3)) (-.f64 (.f64 1/6 (pow.f64 y 3)) y)))) (cbrt.f64 (fma.f64 y y (.f64 (.f64 1/6 (pow.f64 y 3)) (-.f64 (.f64 1/6 (pow.f64 y 3)) y)))))) (cbrt.f64 (fma.f64 y y (.f64 (.f64 1/6 (pow.f64 y 3)) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))))
(/.f64 (+.f64 (pow.f64 y 3) (.f64 (pow.f64 (pow.f64 y 3) 3) 1/216)) (fma.f64 y y (.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) 1/216 (pow.f64 y 3)) (fma.f64 y y (.f64 (pow.f64 y 3) (.f64 1/6 (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))))))
(pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1)
(fma.f64 1/6 (pow.f64 y 3) y)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2)
(fma.f64 1/6 (pow.f64 y 3) y)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 3)
(fma.f64 1/6 (pow.f64 y 3) y)
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3) 1/3)
(fma.f64 1/6 (pow.f64 y 3) y)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 2))
(fabs.f64 (fma.f64 1/6 (pow.f64 y 3) y))
(log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/6 (pow.f64 y 3) y)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y))))
(fma.f64 1/6 (pow.f64 y 3) y)
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3))
(fma.f64 1/6 (pow.f64 y 3) y)
(expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/6 (pow.f64 y 3) y)
(exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/6 (pow.f64 y 3) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 1))
(fma.f64 1/6 (pow.f64 y 3) y)
(log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/6 (pow.f64 y 3) y)
(fma.f64 1/6 (pow.f64 y 3) y)
(fma.f64 (pow.f64 y 3) 1/6 y)
(fma.f64 1/6 (pow.f64 y 3) y)
(fma.f64 1 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(fma.f64 1 (*.f64 1/6 (pow.f64 y 3)) y)
(fma.f64 1/6 (pow.f64 y 3) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(fma.f64 (.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) y)
(+.f64 y (.f64 (pow.f64 y 3) (.f64 (sqrt.f64 1/6) (sqrt.f64 1/6))))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(fma.f64 (pow.f64 (.f64 y (cbrt.f64 1/6)) 2) (.f64 y (cbrt.f64 1/6)) y)
(+.f64 y (pow.f64 (*.f64 y (cbrt.f64 1/6)) 3))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.25%	(.f64 1/6 (.f64 y (*.f64 x y)))
✓	0.26%	(.f64 y (.f64 x y))

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`add-sqr-sqrt`
1510×	`*-un-lft-identity`
1402×	`add-cube-cbrt`
1380×	`add-cbrt-cube`
1364×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	161	32
2	1900	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

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

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1392×	`distribute-lft-in`
1378×	`distribute-rgt-in`
976×	`fma-def`
660×	`log-prod`
622×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	1152
1	160	1152
2	681	1152
3	2334	1152
4	6760	1152

Stop Event

1×	node limit

Counts

72 → 31

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.35%	(.f64 1/6 (.f64 y y))
✓	11.92%	(.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	y	@	-inf	(.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)))

rewrite50.0ms (0.5%)

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))))))))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 16

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.17%	(.f64 (.f64 1/6 y) y)
✓	0.46%	(*.f64 1/6 y)
✓	11.92%	(.f64 x (.f64 (*.f64 1/6 y) y))

Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	39
1	162	39
2	1924	39

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

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

Outputs

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

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

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

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1208×	`log-prod`
1082×	`associate-/r*`
842×	`unswap-sqr`
508×	`+-commutative`
450×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1224
1	224	1152
2	942	1080
3	3357	1080
4	7078	1080

Stop Event

1×	node limit

Counts

72 → 47

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	25.48%	(/.f64 (/.f64 x y) (/.f64 1 y))

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`add-sqr-sqrt`
1628×	`*-un-lft-identity`
1526×	`add-cube-cbrt`
1502×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	171	1
2	2405	1

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-/r*`
1304×	`associate-+r+`
1010×	`associate-+l+`
776×	`associate-/r/`
648×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	238
1	288	202
2	1555	202
3	5820	202

Stop Event

1×	node limit

Counts

64 → 45

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

eval238.0ms (2.5%)

Compiler: Compiled 8432 to 5438 computations (35.5% saved)

prune99.0ms (1%)

Pruning

23 alts after pruning (12 fresh and 11 done)

	Pruned	Kept	Total
New	429	10	439
Fresh	0	2	2
Picked	0	1	1
Done	1	10	11
Total	430	23	453

Error

Counts

453 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5%	(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))
✓	49.91%	(/.f64 (/.f64 x y) (/.f64 1 y))
	25.64%	(/.f64 (*.f64 (sin.f64 x) y) y)
✓	0.02%	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.52%	(/.f64 (sin.f64 x) (+.f64 1 (.f64 (.f64 y y) -1/6)))
✓	0.6%	(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y (sin.f64 x))))
	48.59%	(*.f64 (/.f64 (sinh.f64 y) y) x)
	49.85%	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (/.f64 -1 y)))
	49.76%	(*.f64 (/.f64 x y) y)
✓	48.92%	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
	95.12%	(.f64 (.f64 y y) (*.f64 x 1/6))
✓	0.45%	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
	95.12%	(.f64 y (.f64 y (*.f64 x 1/6)))
	95.12%	(.f64 y (.f64 x (*.f64 y 1/6)))
	95.64%	(.f64 x (+.f64 1 (-.f64 (.f64 y (*.f64 1/6 y)) 1)))
	95.61%	(.f64 x (.f64 (+.f64 1 (-.f64 (*.f64 1/6 y) 1)) y))
✓	95.14%	(.f64 x (.f64 (*.f64 1/6 y) y))
✓	95.14%	(.f64 x (.f64 1/6 (*.f64 y y)))
	95.56%	(.f64 1/6 (-.f64 (+.f64 1 (.f64 y (*.f64 y x))) 1))
✓	95.12%	(.f64 1/6 (.f64 y (*.f64 x y)))
	95.12%	(.f64 1/6 (.f64 x (*.f64 y y)))
✓	0.88%	(sin.f64 x)
	48.94%	x

Compiler

Compiled 221 to 156 computations (29.4% saved)

regimes137.0ms (1.4%)

Counts

29 → 1

Calls

Call 1

Inputs
x
(*.f64 (/.f64 x y) y)
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 x y)))
(.f64 x (.f64 1/6 (*.f64 y y)))
(.f64 x (.f64 (*.f64 1/6 y) y))
(.f64 y (.f64 x (*.f64 y 1/6)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 (.f64 y y) (*.f64 x 1/6))
(/.f64 (/.f64 x y) (/.f64 1 y))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (/.f64 -1 y)))
(.f64 1/6 (-.f64 (+.f64 1 (.f64 y (*.f64 y x))) 1))
(.f64 x (.f64 (+.f64 1 (-.f64 (*.f64 1/6 y) 1)) y))
(.f64 x (+.f64 1 (-.f64 (.f64 y (*.f64 1/6 y)) 1)))
(sin.f64 x)
(*.f64 (/.f64 (sinh.f64 y) y) x)
(/.f64 (*.f64 (sin.f64 x) y) y)
(/.f64 (/.f64 x y) (/.f64 1 (sinh.f64 y)))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (sin.f64 x) (+.f64 1 (.f64 (.f64 y y) -1/6)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))
(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y (sin.f64 x))))
(/.f64 (.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (sin.f64 x)) y)
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) 2)

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

Calls

5 calls:

57.0ms	(sin.f64 x)
42.0ms	x
14.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
14.0ms	y
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`y`
0.02%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
0.02%	1	`(sin.f64 x)`
0.02%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 262 to 138 computations (47.3% saved)

regimes71.0ms (0.7%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

5 calls:

30.0ms	x
12.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
11.0ms	(sin.f64 x)
10.0ms	y
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.03%	1	`x`
0.03%	1	`y`
0.03%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
0.03%	1	`(sin.f64 x)`
0.03%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 190 to 106 computations (44.2% saved)

regimes39.0ms (0.4%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	(sin.f64 x)
11.0ms	y
10.0ms	x
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.45%	1	`x`
0.45%	1	`y`
0.45%	1	`(sin.f64 x)`
0.45%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 174 to 99 computations (43.1% saved)

regimes52.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

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

Outputs
(sin.f64 x)

Calls

4 calls:

26.0ms	y
10.0ms	x
9.0ms	(sin.f64 x)
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.88%	1	`x`
0.88%	1	`y`
0.88%	1	`(sin.f64 x)`
0.88%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 154 to 89 computations (42.2% saved)

regimes35.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	x
8.0ms	y

Results

Error	Segments	Branch
48.92%	1	`x`
48.92%	1	`y`

Compiler

Compiled 122 to 73 computations (40.2% saved)

regimes16.0ms (0.2%)

Accuracy

Total -30.3b remaining (-96.9%)

Threshold costs -30.3b (-96.9%)

Counts

10 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

8.0ms	x
6.0ms	y

Results

Error	Segments	Branch
48.94%	1	`x`
48.94%	1	`y`

Compiler

Compiled 70 to 37 computations (47.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	102
1	26	102

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 48 to 34 computations (29.2% saved)

soundness0.0ms (0%)

end31.0ms (0.3%)

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