Details

analyze432.0ms (3%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.3%	6.2%	93.7%	0.1%	0%	0%	0%	7
15.6%	15.6%	84.3%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
30.5%	30.4%	69.5%	0.1%	0%	0%	0%	10
38.3%	38.2%	61.7%	0.1%	0%	0%	0%	11
39.6%	39.6%	60.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample3.4s (24%)

Results

1.2s	4889×	body	256	valid
1.1s	1144×	body	2048	valid
740.0ms	1332×	body	1024	valid
368.0ms	883×	body	512	valid
12.0ms	8×	body	4096	valid

Bogosity

preprocess5.0ms (0%)

Algorithm

2×	egg-herbie

Rules

8×	`associate-/r*`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	22	78
2	26	78
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
(/.f64 (tan.f64 (/.f64 y (.f64 x 2))) (sin.f64 (/.f64 y (.f64 x 2))))

Outputs
(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
(/.f64 (tan.f64 (/.f64 y (.f64 x 2))) (sin.f64 (/.f64 y (.f64 x 2))))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`associate-/r*`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	14	39
2	16	39

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Outputs
(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

eval0.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% 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

54.78%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	54.78%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize39.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	10.46%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	44.28%	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	44.55%	(tan.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 38 to 25 computations (34.2% saved)

series13.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
2.0ms	y	@	-inf	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
1.0ms	y	@	-inf	(tan.f64 (/.f64 x (*.f64 y 2)))
1.0ms	y	@	inf	(tan.f64 (/.f64 x (*.f64 y 2)))
1.0ms	x	@	0	(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1742×	`associate-*r/`
1568×	`associate-/l*`
1444×	`associate-*l/`
238×	`add-sqr-sqrt`
234×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	231	73
2	3060	73

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(tan.f64 (/.f64 x (*.f64 y 2)))
(sin.f64 (/.f64 x (*.f64 y 2)))
(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Outputs
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simplify159.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1234×	`+-commutative`
1168×	`associate-+r+`
1146×	`times-frac`
690×	`associate-/l*`
672×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	475	9413
1	1300	9211
2	6969	9211

Stop Event

1×	node limit

Counts

187 → 208

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 1/2 (/.f64 x y)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (.f64 1/2 (/.f64 x y)) (.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
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(/.f64 (sqrt.f64 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (/.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 1) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 1) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 1)
(.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))) 1)
(.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(.f64 1 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (neg.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
(neg.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))

Outputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 1/2 (/.f64 x y)))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (.f64 1/2 (/.f64 x y)) (.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/2 (/.f64 x y)))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(-.f64 (+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (/.f64 (.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16))))
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (.f64 (/.f64 (.f64 1/24 (pow.f64 x 3)) (pow.f64 y 5)) (.f64 x x)) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768))))
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(sin.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
(fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 1))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))) 1)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 1 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (neg.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 1 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3) 1/3)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))
(fabs.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))

eval143.0ms (1%)

Compiler: Compiled 8186 to 5947 computations (27.4% saved)

prune92.0ms (0.6%)

Pruning

42 alts after pruning (41 fresh and 1 done)

	Pruned	Kept	Total
New	167	41	208
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	167	42	209

Error

39.78%

Counts

209 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	56.85%	(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
	54.66%	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
▶	55.82%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	54.99%	(/.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
	56.06%	(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
	55.84%	(/.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
▶	55.83%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	57.31%	(/.f64 (/.f64 1 (/.f64 (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	93.41%	(/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 1) (sin.f64 (/.f64 x (.f64 y 2))))
	55.84%	(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
▶	54.99%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (.f64 y 2))))
	77.9%	(/.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	56.17%	(/.f64 (.f64 (fabs.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (.f64 (/.f64 (fabs.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (cos.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	56.38%	(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2)))))) (sin.f64 (/.f64 x (.f64 y 2))))
	56.13%	(/.f64 (.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))))) (sin.f64 (/.f64 x (.f64 y 2))))
	59.17%	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	55.56%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	70.45%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
	55.58%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	54.88%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	82.09%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	54.78%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	93.66%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
	93.66%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	75.33%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
	78%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
	54.99%	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (.f64 y 2))))
	54.64%	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	81.4%	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	54.99%	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	92.54%	(/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	75%	(/.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (.f64 y 2))))
▶	44.33%	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
▶	56.63%	(+.f64 1 (.f64 1/8 (/.f64 (.f64 x x) (*.f64 y y))))
	54.96%	(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))
	55.6%	(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
	77.68%	(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	55.48%	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	56.28%	(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
	54.64%	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
	56.85%	(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
	43.95%	1

Compiler

Compiled 1942 to 1458 computations (24.9% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2%	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
✓	0.32%	(*.f64 1/2 (/.f64 x y))
✓	43.96%	(cos.f64 (*.f64 1/2 (/.f64 x y)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series6.0ms (0%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/2 (/.f64 x y))
0.0ms	x	@	inf	(*.f64 1/2 (/.f64 x y))
0.0ms	y	@	inf	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
0.0ms	y	@	0	(*.f64 1/2 (/.f64 x y))
0.0ms	x	@	-inf	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`associate-*r/`
958×	`*-commutative`
944×	`associate-/r*`
668×	`associate-*l/`
616×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	223	53
2	2682	53

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

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

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

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

824×	`associate-/l*`
792×	`distribute-rgt-in`
780×	`distribute-lft-in`
486×	`associate-/l/`
456×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	503	7344
1	1194	6872
2	4757	6846

Stop Event

1×	node limit

Counts

216 → 327

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
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(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 -1/46080 (pow.f64 x 6)) (.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 -1/46080 (pow.f64 x 6)) (.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1)
(.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 -1 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
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(.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
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(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
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(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))))) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))))
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(/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))
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(/.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))
(/.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 -1 (neg.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))
(/.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
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(/.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 -1 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1))
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(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))
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(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
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(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 1/2 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 x -1/2) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) -1) y)
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (.f64 x -1/2) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
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(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
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(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) 1/2))
(neg.f64 (*.f64 1/2 (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
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(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(.f64 1 (/.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y)))))
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(.f64 -1 (/.f64 -1 (cos.f64 (.f64 1/2 (/.f64 x y)))))
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(.f64 (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
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(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))
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(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))

Outputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 -1/46080 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
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(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (*.f64 1/2 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) 1) (neg.f64 y))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y)) x)
(*.f64 x (/.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) -1) y)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (.f64 x -1/2) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y)) x)
(*.f64 x (/.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 x 2) 1) y)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y)) x)
(*.f64 x (/.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (/.f64 1/2 (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 1/2 (sqrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (fabs.f64 (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y)) x)
(*.f64 x (/.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 1/2 (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 1/2 (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) 1/2))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(neg.f64 (*.f64 1/2 (/.f64 x (neg.f64 y))))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 1/2))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 1 (/.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (/.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 -1 (/.f64 -1 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 1 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))
(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1))
(.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 1 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))
(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))) (.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))

localize37.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	23.95%	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`add-sqr-sqrt`
1566×	`*-un-lft-identity`
1464×	`add-cube-cbrt`
1444×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	149	13
2	2189	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1718×	`associate-+r+`
1400×	`associate-+l+`
922×	`associate-*r/`
698×	`associate-*l/`
556×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	1319
1	229	989
2	902	989
3	4505	989

Stop Event

1×	node limit

Counts

59 → 45

Calls

Call 1

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

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

localize81.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	10.42%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (.f64 y 2))))
	44.28%	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	44.4%	(cos.f64 (*.f64 x (/.f64 1/2 y)))
✓	44.43%	(sin.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 86 to 60 computations (30.2% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`associate-/r/`
662×	`associate-/l/`
550×	`distribute-lft-neg-in`
380×	`add-sqr-sqrt`
366×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	95
1	380	73
2	5146	73

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (.f64 y 2))))

Outputs

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simplify137.0ms (1%)

Algorithm

1×	egg-herbie

Rules

876×	`distribute-lft-neg-out`
774×	`associate-r`
772×	`distribute-rgt-neg-out`
688×	`times-frac`
640×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	348	6223
1	878	6109
2	5338	6109

Stop Event

1×	node limit

Counts

193 → 175

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 -1/46080 (pow.f64 x 6)) (.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 -1/46080 (pow.f64 x 6)) (.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 1)
(.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 -1 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (neg.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(neg.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) 1)
(.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))
(.f64 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 -1 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 1) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2) 1) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2) -1) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)
(/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(neg.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))) 1)
(.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 1 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 0)))
(.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 0)) (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (neg.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 1) (/.f64 1 (.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (cos.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (/.f64 1 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (cos.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (cos.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (cos.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 0)) 1) (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 1) (cos.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 1)) (sin.f64 (.f64 x (/.f64 1/2 y))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -1/2) (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 0))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -2)) (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 0))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 0)) (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 0)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 0)) (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) -1)
(pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
(neg.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))

Outputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 0)) (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))
(/.f64 (.f64 1 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 0)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 0)) (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3) 1/3)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))
(fabs.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	10.42%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
✓	11.3%	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
	44.28%	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	44.45%	(tan.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 67 to 47 computations (29.9% saved)

series39.0ms (0.3%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
4.0ms	y	@	-inf	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
1.0ms	x	@	-inf	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
1.0ms	y	@	0	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
1.0ms	y	@	inf	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`swap-sqr`
454×	`distribute-lft-neg-in`
410×	`associate-/r/`
400×	`distribute-rgt-neg-in`
358×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
1	368	77
2	4580	77

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs
(tan.f64 (*.f64 x (/.f64 1/2 y)))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))

Outputs

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

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simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-+r+`
1276×	`+-commutative`
936×	`associate-r`
736×	`associate-l`
644×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	474	8570
1	1305	8348
2	6831	8348

Stop Event

1×	node limit

Counts

180 → 198

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 1/2 (/.f64 x y)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (.f64 1/2 (/.f64 x y)) (.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(-.f64 (+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
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(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (pow.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 1/3) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))
(/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 1))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))) 1)
(.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(.f64 1 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (neg.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 1) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
(neg.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(neg.f64 (.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(neg.f64 (.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(neg.f64 (.f64 1 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))

Outputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 1/2 (/.f64 x y)))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (.f64 1/2 (/.f64 x y)) (.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/2 (/.f64 x y)))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(-.f64 (+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (/.f64 (.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16))))
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840)))) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 y 5) (.f64 x x)) 1/24)) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768))))
(-.f64 (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (.f64 1/2 (/.f64 x y)) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (-.f64 (.f64 1/3840 (pow.f64 x 5)) (+.f64 (.f64 -1/8 (.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/384 (/.f64 (.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))))))
(-.f64 (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (fma.f64 1/2 (/.f64 x y) (.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))) (fma.f64 -1/8 (/.f64 (.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (.f64 x x))) (fma.f64 -1/8 (/.f64 (-.f64 (.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 x x)) (.f64 (pow.f64 x 5) 1/768))) (/.f64 (pow.f64 y 7) (.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/384 (/.f64 (.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 7) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160)))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/645120 (fma.f64 1/2 (/.f64 x y) (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840))))) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 y 5) (.f64 x x)) 1/24)) (fma.f64 -1/8 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 5) 1/3840) (fma.f64 (pow.f64 x 5) 1/768 (.f64 -1/8 (.f64 (pow.f64 x 3) (.f64 1/24 (.f64 x x)))))) (pow.f64 y 7)) (.f64 x x)) (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160 (/.f64 (.f64 (pow.f64 x 3) (.f64 1/24 (pow.f64 x 4))) (/.f64 (pow.f64 y 7) 1/384))))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (.f64 1/2 (/.f64 x y)))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (.f64 1/2 (/.f64 x y)))
(-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/3840 (pow.f64 x 5)) (+.f64 (.f64 -1/768 (pow.f64 x 5)) (.f64 -1/8 (.f64 (-.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))
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(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3) 1/3)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(neg.f64 (.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(neg.f64 (.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(neg.f64 (.f64 1 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))
(fabs.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))

localize104.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	11.35%	(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
	44.28%	(sin.f64 (/.f64 x (*.f64 y 2)))
	44.4%	(cos.f64 (*.f64 x (/.f64 1/2 y)))
	44.43%	(sin.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 127 to 91 computations (28.3% saved)

series6.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
1.0ms	x	@	inf	(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
1.0ms	y	@	0	(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
0.0ms	y	@	inf	(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
0.0ms	x	@	0	(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1940×	`add-sqr-sqrt`
1910×	`*-un-lft-identity`
1784×	`add-cube-cbrt`
1762×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	202	21
2	2415	21

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1670×	`fma-def`
1166×	`distribute-lft-in`
1072×	`distribute-rgt-in`
694×	`*-commutative`
484×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	727
1	113	727
2	312	727
3	1346	705
4	3882	705

Stop Event

1×	node limit

Counts

33 → 26

Calls

Call 1

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

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

eval875.0ms (6.1%)

Compiler: Compiled 28680 to 20834 computations (27.4% saved)

prune512.0ms (3.6%)

Pruning

108 alts after pruning (105 fresh and 3 done)

	Pruned	Kept	Total
New	923	88	1011
Fresh	19	17	36
Picked	1	0	1
Done	2	3	5
Total	945	108	1053

Error

38.42%

Counts

1053 → 108

Alt Table

Click to see full alt table

Status	Error	Program
	44.33%	(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
	54.66%	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
	78.79%	(/.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 1/6) 2) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	78.8%	(/.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 1/3) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	56.63%	(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 3) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	75.42%	(/.f64 (pow.f64 (fabs.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
▶	56.69%	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	56.02%	(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3)) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	56.61%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 2) 3) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	56.35%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	55.82%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	78.04%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 2) 3/2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 3/2)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	54.65%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	55.62%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	82.19%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	55.82%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	93.59%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	75.85%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
	54.99%	(/.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
	56.32%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (fabs.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	56.46%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 3) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	56.49%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	55.76%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	56.94%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
	55.82%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3)) (sin.f64 (/.f64 x (.f64 y 2))))
	55.48%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	81.9%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
	93.59%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
	75.5%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
	92.56%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (.f64 y 2))))
	54.92%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (.f64 y 2))))
	56.1%	(/.f64 (.f64 (/.f64 1 1) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
	59.17%	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	55.56%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	54.88%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	82.09%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	54.78%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
▶	93.66%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
	93.66%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	78%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
	54.99%	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (.f64 y 2))))
	54.64%	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	81.4%	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	54.64%	(/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y)))))
	75%	(/.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (.f64 y 2))))
	47.56%	(/.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1))
	55.64%	(/.f64 1 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1))
	44.33%	(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
	46.36%	(/.f64 1 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)))))
	44.11%	(/.f64 1 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))))))
	44.11%	(/.f64 1 (.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) 1) (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))
	46.45%	(/.f64 1 (.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	46.37%	(/.f64 1 (.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))))))
	44.1%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
	44.76%	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
	44.33%	(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	44.32%	(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	44.32%	(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	56.5%	(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))
	66.83%	(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
	45.54%	(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
	44.83%	(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 x y))) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 1/2))))))
	44.72%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))
	44.77%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
	71.96%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))))
	44.72%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))))
	72.32%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))))
	72.21%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))))
	72.37%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))))
	44.42%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))))
	44.48%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))))
	44.81%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))))
	44.42%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))
	44.53%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
	73.69%	(/.f64 1 (cos.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2))) y)))
	44.54%	(/.f64 1 (cos.f64 (/.f64 (.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 1/2 x))) (/.f64 y (cbrt.f64 (.f64 1/2 x))))))
	44.98%	(/.f64 1 (cos.f64 (/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))
	69.7%	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x)))))
	73.55%	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))
	44.78%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
	46.38%	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (/.f64 x y) 2))))))
	44.81%	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))
▶	44.07%	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
	72.08%	(/.f64 1 (cos.f64 (*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y)) x)))
	73.57%	(/.f64 1 (cos.f64 (.f64 (/.f64 (.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 x)) (cbrt.f64 y)) (sqrt.f64 x))))
	71.87%	(/.f64 1 (cos.f64 (.f64 (/.f64 (.f64 (/.f64 1/2 (sqrt.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 y)) (cbrt.f64 x))))
	72.17%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (fabs.f64 (cbrt.f64 y))))))
	72.33%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 y)))))
	44.84%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))
	73.88%	(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 y 1/2)))))
	44.62%	(/.f64 1 (cos.f64 (*.f64 (cbrt.f64 x) (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))))))
	44.1%	(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
✓	44.33%	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
	46.83%	(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
	67.05%	(/.f64 1 (cos.f64 (exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))))
	46.58%	(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
	44.33%	(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
▶	46.44%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
▶	48.5%	(+.f64 1 (.f64 1/8 (.f64 (/.f64 x y) (/.f64 x y))))
	77.68%	(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	56.27%	(.f64 (/.f64 1 (.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
	56.28%	(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
	56.28%	(.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	44.7%	(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
	44.33%	(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	56.85%	(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
	44.1%	(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
	43.95%	1

Compiler

Compiled 4290 to 3312 computations (22.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.19%	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
✓	1.08%	(/.f64 1/2 (/.f64 y x))
✓	44.14%	(cos.f64 (/.f64 1/2 (/.f64 y x)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
0.0ms	y	@	inf	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
0.0ms	y	@	inf	(cos.f64 (/.f64 1/2 (/.f64 y x)))
0.0ms	y	@	-inf	(cos.f64 (/.f64 1/2 (/.f64 y x)))
0.0ms	y	@	0	(cos.f64 (/.f64 1/2 (/.f64 y x)))

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`associate-*r/`
1280×	`associate-/r*`
988×	`*-commutative`
880×	`associate-*l/`
724×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	230	53
2	2841	53

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(/.f64 1/2 (/.f64 y x))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))

Outputs

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

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

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

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1618×	`unswap-sqr`
1380×	`associate-/l/`
1206×	`associate-/r/`
728×	`distribute-rgt-in`
728×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	6166
1	815	5946
2	3087	5920

Stop Event

1×	node limit

Counts

206 → 201

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 -1/46080 (pow.f64 x 6)) (.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 -1/46080 (pow.f64 x 6)) (.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1)
(.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 -1 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (/.f64 -1 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))
(/.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))
(/.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 -1 (neg.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))
(/.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)
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(/.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) -1)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(.f64 (.f64 1/2 (/.f64 x y)) 1)
(.f64 1 (.f64 1/2 (/.f64 x y)))
(.f64 (sqrt.f64 (.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x y))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y)))
(*.f64 (/.f64 1/2 y) x)
(*.f64 (/.f64 1/2 y) (/.f64 x 1))
(*.f64 (/.f64 x y) 1/2)
(*.f64 (neg.f64 x) (/.f64 -1/2 y))
(*.f64 -1/2 (neg.f64 (/.f64 x y)))
(.f64 (.f64 (sqrt.f64 x) (/.f64 1/2 y)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y)) (cbrt.f64 x))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(.f64 (/.f64 1 y) (.f64 1/2 x))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 1/2 (sqrt.f64 (/.f64 x y))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (.f64 1/2 (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 -1/2 y) (neg.f64 x))
(.f64 (/.f64 -1 y) (.f64 1/2 (neg.f64 x)))
(*.f64 (neg.f64 (/.f64 x y)) -1/2)
(.f64 (/.f64 (.f64 1/2 (sqrt.f64 (/.f64 x y))) 1) (sqrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) 1) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (cbrt.f64 y)) (cbrt.f64 x))
(*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1/2 (/.f64 y 1)) x)
(*.f64 (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 1/2 y) -1) (neg.f64 x))
(*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 x)))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 y 2) x) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(.f64 1 (/.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 -1 (/.f64 -1 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1)
(.f64 (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))

Outputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
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(*.f64 1/2 (/.f64 x y))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
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(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.37%	(*.f64 (/.f64 x y) (/.f64 x y))

Compiler

Compiled 36 to 12 computations (66.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1378×	`add-sqr-sqrt`
1364×	`*-un-lft-identity`
1274×	`add-cube-cbrt`
1258×	`add-cbrt-cube`
1248×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	129	13
2	1761	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1180×	`associate-+l+`
1136×	`associate-+r+`
1128×	`associate-*r/`
894×	`associate-/r*`
804×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	767
1	226	767
2	1139	767
3	6050	767

Stop Event

1×	node limit

Counts

59 → 36

Calls

Call 1

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

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

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.13%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
	0.2%	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
	0.32%	(*.f64 1/2 (/.f64 x y))
	43.96%	(cos.f64 (*.f64 1/2 (/.f64 x y)))

Compiler

Compiled 59 to 37 computations (37.3% saved)

series70.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
18.0ms	y	@	0	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
13.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
2.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
1.0ms	y	@	inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1830×	`associate-*r/`
1518×	`associate-*l/`
1076×	`associate-/r*`
716×	`associate-/l*`
274×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	292	23
2	3403	23

Stop Event

1×	node limit

Counts

1 → 105

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (/.f64 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simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-/r*`
1250×	`associate-*r/`
948×	`*-commutative`
836×	`associate-+r+`
752×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	8685
1	832	8601
2	3220	8481

Stop Event

1×	node limit

Counts

129 → 209

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
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1
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(pow.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 (.f64 1/2 x) y))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (.f64 1/2 x) y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(fma.f64 1 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (.f64 1/2 x) y))))) (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (.f64 1/2 x) y))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (.f64 1/2 x) y))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (.f64 1/2 x) y))))) -1)

Outputs
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (.f64 1/8 (.f64 x x)) (*.f64 y y)))
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
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(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
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(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
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(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
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(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
1
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1
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(fma.f64 1 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) -1)
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (.f64 1/2 x) y))))) (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (.f64 1/2 x) y))))) -1)
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (.f64 1/2 x) y))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (.f64 1/2 x) y))))) -1)
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.7%	(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
✓	9.29%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
	44.43%	(sin.f64 (*.f64 x (/.f64 1/2 y)))
	44.55%	(tan.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 78 to 56 computations (28.2% saved)

series110.0ms (0.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	y	@	-inf	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
30.0ms	x	@	inf	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
16.0ms	y	@	0	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
14.0ms	x	@	-inf	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
3.0ms	x	@	0	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`associate-/l*`
590×	`distribute-lft-in`
450×	`associate-/r/`
364×	`add-sqr-sqrt`
354×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	380	56
2	4764	56

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))

Outputs

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

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

simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1168×	`associate-+l+`
878×	`+-commutative`
854×	`associate-+r+`
484×	`fma-def`
464×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	374	5773
1	1039	4745
2	5169	4741

Stop Event

1×	node limit

Counts

117 → 154

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 x) (*.f64 1/4 x)) y)))
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(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))

Outputs
1
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(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
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(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 1/8 (/.f64 (.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 1/8 (.f64 (/.f64 x y) (/.f64 x y)))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
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(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
1
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1
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(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3) 1/3)
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(neg.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y))) 2))
(fabs.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (.f64 x 1/2) y)) (sin.f64 (/.f64 (.f64 x 1/2) y)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(+.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 0)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(+.f64 0 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (.f64 x 1/2) y)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (.f64 x 1/2) y)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (.f64 x 1/2) y)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (.f64 x 1/2) y)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))) 2))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (log1p.f64 (neg.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))) 2) (expm1.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))) 2))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (log1p.f64 (neg.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3)))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))) 2) (expm1.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (.f64 x 1/2) y))))))
(.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 1)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
(sqrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))
(fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 1))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	10.36%	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	11.3%	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
	44.28%	(sin.f64 (/.f64 x (*.f64 y 2)))
	44.45%	(tan.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 88 to 64 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
0.0ms	y	@	-inf	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
0.0ms	x	@	0	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
0.0ms	x	@	inf	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
0.0ms	x	@	-inf	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

456×	`distribute-lft-neg-in`
434×	`associate-/r/`
400×	`distribute-rgt-neg-in`
382×	`associate-/l/`
370×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	407	39
2	4808	39

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 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simplify146.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1530×	`associate-/r*`
1092×	`associate-*r/`
1086×	`associate-+l+`
950×	`associate--r+`
808×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	290	5146
1	840	4962
2	3451	4962

Stop Event

1×	node limit

Counts

72 → 101

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
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1
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))) 1)
(.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 2)) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))))
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Outputs
1
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1
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(fabs.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(fabs.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))

eval1.0s (7%)

Compiler: Compiled 37912 to 28194 computations (25.6% saved)

prune823.0ms (5.7%)

Pruning

127 alts after pruning (120 fresh and 7 done)

	Pruned	Kept	Total
New	1271	41	1312
Fresh	21	79	100
Picked	0	1	1
Done	1	6	7
Total	1293	127	1420

Error

38.41%

Counts

1420 → 127

Alt Table

Click to see full alt table

Status	Error	Program
	46.28%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (.f64 1/2 x) y))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (.f64 1/2 x) y))))) -1)
	44.26%	(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)
	46.37%	(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2)
	54.66%	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
	78.8%	(/.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 1/3) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	56.63%	(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 3) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	75.42%	(/.f64 (pow.f64 (fabs.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	78.79%	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 1/6) 2))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	57.5%	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 3))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	75.42%	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (fabs.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
✓	56.69%	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	79.08%	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
	56.02%	(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3)) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	56.61%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 2) 3) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	56.35%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	55.82%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	54.65%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	55.62%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	82.19%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	55.82%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	75.85%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
	56.32%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (fabs.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	56.46%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 3) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	56.49%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	55.76%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	56.94%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
	97.88%	(/.f64 (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (/.f64 (.f64 1/2 x) y))))) (sqrt.f64 (neg.f64 (cos.f64 (/.f64 (.f64 1/2 x) y)))))
	44.1%	(/.f64 (+.f64 2 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))) (+.f64 1 (.f64 2 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
	55.82%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3)) (sin.f64 (/.f64 x (.f64 y 2))))
	55.48%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	81.9%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
	75.5%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
	92.56%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (.f64 y 2))))
	54.92%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (.f64 y 2))))
	56.1%	(/.f64 (.f64 (/.f64 1 1) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
	59.17%	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	55.56%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	58.73%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (/.f64 (.f64 1/2 x) y))
	93.69%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
	93.74%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
	93.77%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))
	54.88%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	93.66%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3)))))
▶	94.28%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))))))
✓	93.66%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
	94.29%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))))))
	93.66%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	75.14%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fabs.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))
	78%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
	54.99%	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (.f64 y 2))))
	54.64%	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	81.4%	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	54.64%	(/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y)))))
	75%	(/.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (.f64 y 2))))
	47.56%	(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
	44.33%	(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
	46.36%	(/.f64 1 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)))))
	44.11%	(/.f64 1 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))))))
	44.11%	(/.f64 1 (.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) 1) (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))
	46.37%	(/.f64 1 (.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))))))
▶	44.1%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
	44.76%	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
	44.32%	(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	56.5%	(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))
	66.83%	(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
	45.54%	(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
	44.83%	(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 x y))) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 1/2))))))
	44.77%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
	71.96%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))))
	44.72%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))))
	72.32%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))))
	72.21%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))))
	72.37%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))))
	44.42%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))))
	44.48%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))))
	44.81%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))))
	44.42%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))
	44.53%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
	73.69%	(/.f64 1 (cos.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2))) y)))
	44.54%	(/.f64 1 (cos.f64 (/.f64 (.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 1/2 x))) (/.f64 y (cbrt.f64 (.f64 1/2 x))))))
	44.98%	(/.f64 1 (cos.f64 (/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))
	69.7%	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x)))))
	73.55%	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))
	45.93%	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 y x) 2)))))
▶	44.78%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
	46.38%	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (/.f64 x y) 2))))))
	44.81%	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))
✓	44.07%	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
	72.08%	(/.f64 1 (cos.f64 (*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y)) x)))
	73.57%	(/.f64 1 (cos.f64 (.f64 (/.f64 (.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 x)) (cbrt.f64 y)) (sqrt.f64 x))))
	71.87%	(/.f64 1 (cos.f64 (.f64 (/.f64 (.f64 (/.f64 1/2 (sqrt.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 y)) (cbrt.f64 x))))
	44.67%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))
	44.62%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))
	72.17%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (fabs.f64 (cbrt.f64 y))))))
▶	71.97%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
	72.33%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 y)))))
	44.84%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))
▶	44.1%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
	73.77%	(/.f64 1 (cos.f64 (.f64 (.f64 (sqrt.f64 x) (/.f64 1/2 y)) (sqrt.f64 x))))
	67.11%	(/.f64 1 (cos.f64 (.f64 (sqrt.f64 (/.f64 x y)) (.f64 1/2 (sqrt.f64 (/.f64 x y))))))
✓	44.33%	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
	46.83%	(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
	67.05%	(/.f64 1 (cos.f64 (exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))))
	46.58%	(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
	44.75%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))) 1)
	46.76%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 x y))) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 1/2)))))))) 1)
	73.05%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y))))))) 1)
	46.79%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y)))))) 1)
	73.13%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 x))))))) 1)
	46.23%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))))) 1)
	47.53%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))))))) 1)
	46.51%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) 1)
✓	46.44%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
	47.49%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))))))) 1)
	44.71%	(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)))) 1)
	44.25%	(+.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2) -2)
	44.25%	(+.f64 (+.f64 -1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)
✓	48.5%	(+.f64 1 (.f64 1/8 (.f64 (/.f64 x y) (/.f64 x y))))
	77.68%	(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	56.27%	(.f64 (/.f64 1 (.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
	56.28%	(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
	56.28%	(.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	44.67%	(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2))
	44.26%	(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
	44.76%	(fabs.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
	44.1%	(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
	43.95%	1

Compiler

Compiled 4921 to 3826 computations (22.3% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.46%	(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
✓	0.51%	(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
✓	44.19%	(cos.f64 (/.f64 x y))
	44.4%	(cos.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 83 to 49 computations (41% saved)

series11.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
2.0ms	x	@	0	(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
1.0ms	x	@	-inf	(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
1.0ms	y	@	0	(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
1.0ms	y	@	inf	(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`*-commutative`
610×	`unswap-sqr`
608×	`associate-/r*`
564×	`swap-sqr`
528×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	219	53
2	2644	53

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs
(cos.f64 (/.f64 x y))
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6) (*.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2)) (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (/.f64 x y)) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6)) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6)) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6))) (*.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) -1/4) (+.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 3)) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (-.f64 1/4 (*.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) -1/4)) (+.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 3))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (-.f64 1/4 (*.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) -1/4) 1) (+.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 3)) 1) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (-.f64 1/4 (*.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2))) (-.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))))

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simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

984×	`fma-def`
806×	`times-frac`
688×	`associate-/r*`
668×	`+-commutative`
538×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	5513
1	654	4839
2	2720	4651
3	7465	4651

Stop Event

1×	node limit

Counts

151 → 163

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/48 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/1440 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/48 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
1
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
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(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/1440 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/48 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/48 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/1440 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/48 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1/25920 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 1 (+.f64 (.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1/25920 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 -1/435456 (/.f64 (pow.f64 x 8) (pow.f64 y 8))))))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
1
(+.f64 1 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1/1440 (pow.f64 x 6)) (.f64 -1/1728 (pow.f64 x 6))) (pow.f64 y 6))) (.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1/1440 (pow.f64 x 6)) (.f64 -1/1728 (pow.f64 x 6))) (pow.f64 y 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 1/3 (/.f64 (-.f64 (.f64 1/80640 (pow.f64 x 8)) (.f64 -1/6 (.f64 (-.f64 (.f64 -1/1440 (pow.f64 x 6)) (.f64 -1/1728 (pow.f64 x 6))) (pow.f64 x 2)))) (pow.f64 y 8))))))
1
(+.f64 1 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1/1440 (pow.f64 x 6)) (.f64 -1/1728 (pow.f64 x 6))) (pow.f64 y 6))) (.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1/1440 (pow.f64 x 6)) (.f64 -1/1728 (pow.f64 x 6))) (pow.f64 y 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 1/3 (/.f64 (-.f64 (.f64 1/80640 (pow.f64 x 8)) (.f64 -1/6 (.f64 (-.f64 (.f64 -1/1440 (pow.f64 x 6)) (.f64 -1/1728 (pow.f64 x 6))) (pow.f64 x 2)))) (pow.f64 y 8))))))
(+.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 x y)))) -1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 x y)))) 1)
(*.f64 (cos.f64 (/.f64 x y)) 1)
(*.f64 1 (cos.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 x y))) (sqrt.f64 (cos.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (cbrt.f64 (cos.f64 (/.f64 x y))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 x y)))) (cbrt.f64 (cos.f64 (/.f64 x y)))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 x y)))) (cbrt.f64 (cos.f64 (/.f64 x y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2)))))
(.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 x y))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x y))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x y))))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) 3/2) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 x y)))) (exp.f64 (log1p.f64 (cos.f64 (/.f64 x y))))) 1) (+.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 x y)))) 1))
(pow.f64 (cos.f64 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2))
(log.f64 (exp.f64 (cos.f64 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 x y))))
(exp.f64 (log.f64 (cos.f64 (/.f64 x y))))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 x y))))
(+.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) 1/2))
(+.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 1/2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 1)
(*.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2))
(*.f64 1 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6) (.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(.f64 (.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2)) (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(*.f64 (+.f64 (cos.f64 (/.f64 x y)) 1) 1/2)
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6)) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6)) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6))) (.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 3) 1/6))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) -1/4) (+.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) -1/2))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (-.f64 1/4 (.f64 1/2 (.f64 (cos.f64 (/.f64 x y)) 1/2)))))
(/.f64 (.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) -1/4)) (+.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) -1/2))
(/.f64 (.f64 1 (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (-.f64 1/4 (.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) 1/2)))))
(/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) -1/4) 1) (+.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) -1/2))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3)) 1) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (-.f64 1/4 (.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) 1/2)))))
(/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2))) (-.f64 1/2 (.f64 (cos.f64 (/.f64 x y)) 1/2)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 1))
(pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2)
(pow.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(exp.f64 (log.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1)
(.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(*.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6) (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6)))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 3/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) 1))
(pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6) 2)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 x x) (*.f64 y y))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 y 6) -1/720))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 x x) (*.f64 y y))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 y 6) -1/720))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 x x) (*.f64 y y))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 y 6) -1/720))))
1
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/4 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/4 1)
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/48 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/4 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/48))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/4 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/48 1))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/48 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/4 1))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/1440 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/48 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/4 (/.f64 (.f64 x x) (.f64 y y)) 1) (fma.f64 -1/1440 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/48)))
(+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) -1/4 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/48 (.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/1440)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/4 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/48 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/1440 1)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
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(.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 2) (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 3/2))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))
(pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/3)
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1)
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 1/6) 2)
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2/3)
(.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 1/6) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 3)
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.23%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
✓	0.32%	(*.f64 (/.f64 1/2 y) x)
✓	44.4%	(cos.f64 (*.f64 (/.f64 1/2 y) x))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`*-commutative`
908×	`associate-*r/`
638×	`unswap-sqr`
606×	`associate-*l/`
592×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	224	53
2	2631	53

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(*.f64 (/.f64 1/2 y) x)
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))

Outputs

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

846×	`distribute-rgt-in`
832×	`distribute-lft-in`
826×	`associate-/l*`
446×	`associate-r`
440×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	490	7442
1	1158	7136
2	4755	7136

Stop Event

1×	node limit

Counts

262 → 283

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 -1/46080 (pow.f64 x 6)) (.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 -1/46080 (pow.f64 x 6)) (.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1)
(.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 -1 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (sqrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) 1) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) -1) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))))
(.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 3/2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3/2))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/6))
(/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (/.f64 -1 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))
(/.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))
(/.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))
(/.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)
(/.f64 (sqrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))))
(/.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 -1 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2)) (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) -1)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) 1) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(/.f64 1/2 (/.f64 y x))
(/.f64 x (*.f64 y 2))
(/.f64 (*.f64 1/2 (/.f64 x y)) 1)
(/.f64 1 (/.f64 y (*.f64 1/2 x)))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 y 2) (sqrt.f64 x)))
(/.f64 (cbrt.f64 x) (/.f64 (.f64 y 2) (cbrt.f64 (.f64 x x))))
(/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (.f64 y 2) (cbrt.f64 x)))
(/.f64 (*.f64 1/2 x) y)
(/.f64 (*.f64 1/2 x) (/.f64 y 1))
(/.f64 -1/2 (/.f64 (neg.f64 y) x))
(/.f64 (sqrt.f64 (.f64 1/2 x)) (/.f64 y (sqrt.f64 (.f64 1/2 x))))
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 1/2 x))) (/.f64 y (cbrt.f64 (.f64 1/2 x))))
(/.f64 (.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (.f64 y 2)))
(/.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(/.f64 (.f64 1/2 (cbrt.f64 (.f64 x x))) (/.f64 y (cbrt.f64 x)))
(/.f64 (/.f64 x y) 2)
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(/.f64 (/.f64 x 2) y)
(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))
(/.f64 (*.f64 x -1) (/.f64 y -1/2))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 1 (/.f64 x 2)) y)
(/.f64 (*.f64 1 (/.f64 1/2 (/.f64 (sqrt.f64 y) x))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 x))) (sqrt.f64 y))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 1/2 x) -1) (neg.f64 y))
(/.f64 (.f64 (.f64 1/2 x) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 1/2 x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 1/2 y))) 1) (sqrt.f64 (*.f64 y 2)))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 1/2)) (sqrt.f64 y))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 -1/2)) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) 1) (cbrt.f64 (*.f64 y 2)))
(/.f64 (.f64 (.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) (cbrt.f64 1/2)) (cbrt.f64 y))
(/.f64 (.f64 (.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) (cbrt.f64 -1/2)) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))
(/.f64 (*.f64 -1 x) (/.f64 y -1/2))
(/.f64 (.f64 (.f64 x -1/2) 1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x 2) 1) y)
(/.f64 (*.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 y))
(/.f64 (.f64 1 (.f64 x (sqrt.f64 (/.f64 1/2 y)))) (sqrt.f64 (*.f64 y 2)))
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 x (sqrt.f64 (/.f64 1/2 y)))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 -1/2) (.f64 x (sqrt.f64 (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 y))
(/.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 1/2 (/.f64 x (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 x 1) (*.f64 y 2))
(/.f64 (/.f64 x (.f64 (cbrt.f64 (.f64 y 2)) (cbrt.f64 (.f64 y 2)))) (cbrt.f64 (.f64 y 2)))
(/.f64 (/.f64 (*.f64 1/2 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 x -1/2) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) -1) y)
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (.f64 x -1/2) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 x 2) 1) y)
(/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)
(neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(.f64 1 (/.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 -1 (/.f64 -1 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1)
(.f64 (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))) (.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3/2))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/6))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2%	(/.f64 1/2 (sqrt.f64 y))
✓	0.22%	(/.f64 x (sqrt.f64 y))
✓	0.23%	(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
✓	24.55%	(cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))

Compiler

Compiled 47 to 21 computations (55.3% saved)

series6.0ms (0%)

Counts

4 → 60

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
1.0ms	y	@	-inf	(cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))
1.0ms	x	@	0	(/.f64 x (sqrt.f64 y))
1.0ms	y	@	-inf	(/.f64 1/2 (sqrt.f64 y))
1.0ms	y	@	-inf	(/.f64 x (sqrt.f64 y))

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1484×	`associate-/r*`
1110×	`associate-/l*`
1102×	`*-commutative`
776×	`unswap-sqr`
668×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	231	52
2	2959	52

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

Inputs
(cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 x (sqrt.f64 y))
(/.f64 1/2 (sqrt.f64 y))

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

simplify126.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1212×	`distribute-lft-in`
1028×	`times-frac`
908×	`associate-/l/`
810×	`associate-/r*`
666×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	632	7554
1	1672	7130
2	7280	7130

Stop Event

1×	node limit

Counts

314 → 352

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (.f64 -1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2)))))
(+.f64 (.f64 1/384 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 y 4)))) (+.f64 1 (.f64 -1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2))))))
(+.f64 (.f64 1/384 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 y 4)))) (+.f64 1 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2)))) (.f64 -1/46080 (/.f64 (pow.f64 x 6) (.f64 (pow.f64 (sqrt.f64 -1) 12) (pow.f64 y 6)))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(.f64 -1/2 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) 1)
(*.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 1)
(*.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(*.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2) (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2))))
(.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))) (*.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))))
(pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 3)
(pow.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 2))
(log.f64 (exp.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(exp.f64 (log.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x 2) y))) 1)
(/.f64 1/2 (/.f64 y x))
(/.f64 1/2 (/.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(/.f64 x (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)))
(/.f64 x (/.f64 (sqrt.f64 y) (/.f64 1/2 (sqrt.f64 y))))
(/.f64 x (/.f64 y 1/2))
(/.f64 x (/.f64 (*.f64 (sqrt.f64 y) 2) (pow.f64 y -1/2)))
(/.f64 x (/.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)) 1))
(/.f64 x (/.f64 (neg.f64 y) -1/2))
(/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) 2))
(/.f64 (/.f64 (/.f64 x 2) y) 1)
(/.f64 1 (/.f64 y (/.f64 x 2)))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)) x))
(/.f64 1 (/.f64 (.f64 (.f64 (sqrt.f64 y) 2) (neg.f64 (sqrt.f64 y))) (neg.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (.f64 (sqrt.f64 y) 2) (.f64 (sqrt.f64 x) (pow.f64 y -1/2))))
(/.f64 (sqrt.f64 x) (/.f64 (.f64 (.f64 (sqrt.f64 y) 2) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 y) 2) (/.f64 (sqrt.f64 y) (sqrt.f64 x))))
(/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) (/.f64 (*.f64 (sqrt.f64 y) 2) (sqrt.f64 (/.f64 x (sqrt.f64 y)))))
(/.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))) (/.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))))
(/.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))) (/.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))))))
(/.f64 (cbrt.f64 x) (/.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (.f64 (sqrt.f64 y) 2) (.f64 (cbrt.f64 x) (pow.f64 y -1/2))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (.f64 (.f64 (sqrt.f64 y) 2) (neg.f64 (sqrt.f64 y))) (neg.f64 (cbrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 (sqrt.f64 y) 2) (/.f64 (sqrt.f64 y) (cbrt.f64 x))))
(/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) (/.f64 (.f64 (sqrt.f64 y) 2) (cbrt.f64 (.f64 (/.f64 x y) x))))
(/.f64 (cbrt.f64 (.f64 (/.f64 x y) x)) (/.f64 (.f64 (sqrt.f64 y) 2) (cbrt.f64 (/.f64 x (sqrt.f64 y)))))
(/.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) (/.f64 (/.f64 (sqrt.f64 y) x) (cbrt.f64 (/.f64 1/4 y))))
(/.f64 (cbrt.f64 (/.f64 1/4 y)) (/.f64 (/.f64 (sqrt.f64 y) x) (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))))
(/.f64 (cbrt.f64 (/.f64 1/4 y)) (/.f64 (sqrt.f64 y) (*.f64 x (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))))))
(/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))
(/.f64 (pow.f64 y -1/2) (/.f64 (/.f64 (sqrt.f64 y) x) 1/2))
(/.f64 (pow.f64 y -1/2) (/.f64 (*.f64 (sqrt.f64 y) 2) x))
(/.f64 (*.f64 1/2 x) y)
(/.f64 (*.f64 1/2 x) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2)))
(/.f64 (neg.f64 x) (.f64 (.f64 (sqrt.f64 y) 2) (neg.f64 (sqrt.f64 y))))
(/.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 y) 2) (/.f64 -1 (sqrt.f64 y))))
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(*.f64 (pow.f64 y -1/2) 1/2)
(*.f64 -1/2 (/.f64 -1 (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 1/2 (pow.f64 y 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1/2 (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 -1 (sqrt.f64 y)) -1/2)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 y)))))
(.f64 (.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 y))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 y))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))))))
(pow.f64 (/.f64 1/2 (sqrt.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 y) 2) -1)
(sqrt.f64 (/.f64 1/4 y))
(log.f64 (exp.f64 (/.f64 1/2 (sqrt.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 1/2 (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (sqrt.f64 y))))

Outputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (.f64 x (/.f64 x (.f64 y y))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (.f64 x (/.f64 x (.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))) (fma.f64 -1/8 (.f64 x (/.f64 x (*.f64 y y))) 1))
1
(+.f64 1 (.f64 -1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2)))))
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (.f64 x (/.f64 x (.f64 y y))) 1)
(+.f64 (.f64 1/384 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 y 4)))) (+.f64 1 (.f64 -1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2))))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (.f64 x (/.f64 x (.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (.f64 1/384 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 y 4)))) (+.f64 1 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2)))) (.f64 -1/46080 (/.f64 (pow.f64 x 6) (.f64 (pow.f64 (sqrt.f64 -1) 12) (pow.f64 y 6)))))))
(fma.f64 1/384 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 4) (pow.f64 (sqrt.f64 -1) 8))) (+.f64 1 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 (.f64 y y) (pow.f64 (sqrt.f64 -1) 4))) (.f64 -1/46080 (/.f64 (pow.f64 x 6) (.f64 (pow.f64 y 6) (pow.f64 (sqrt.f64 -1) 12)))))))
(+.f64 (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1) (fma.f64 -1/46080 (/.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (pow.f64 (sqrt.f64 -1) 12)) (.f64 -1/8 (.f64 x (/.f64 x (*.f64 y y))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (.f64 x (/.f64 x (.f64 y y))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (.f64 x (/.f64 x (.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))) (fma.f64 -1/8 (.f64 x (/.f64 x (*.f64 y y))) 1))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(.f64 -1/2 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 x y))
(.f64 -1/2 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 x y))
(.f64 -1/2 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 x y))
(.f64 -1/2 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(*.f64 x (sqrt.f64 (/.f64 1 y)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2) (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (.f64 y 2)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (.f64 y 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))) (*.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (.f64 y 2)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (.f64 y 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 3) 1/3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 2))
(fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (exp.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 3))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (log.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x 2) y))) 1)
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 (neg.f64 y) (neg.f64 x)))
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(*.f64 1/2 (/.f64 x y))
(/.f64 x (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)))
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 (sqrt.f64 y) (/.f64 1/2 (sqrt.f64 y))))
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 (*.f64 (sqrt.f64 y) 2) (pow.f64 y -1/2)))
(.f64 (/.f64 x (.f64 2 (sqrt.f64 y))) (pow.f64 y -1/2))
(.f64 x (/.f64 (pow.f64 y -1/2) (.f64 2 (sqrt.f64 y))))
(/.f64 x (/.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)) 1))
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 (neg.f64 y) -1/2))
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) 2))
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 (/.f64 x 2) y) 1)
(*.f64 1/2 (/.f64 x y))
(/.f64 1 (/.f64 y (/.f64 x 2)))
(*.f64 1/2 (/.f64 x y))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)) x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1 (/.f64 (.f64 (.f64 (sqrt.f64 y) 2) (neg.f64 (sqrt.f64 y))) (neg.f64 x)))
(*.f64 1/2 (/.f64 x y))
(/.f64 (sqrt.f64 x) (/.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)) (sqrt.f64 x)))
(*.f64 1/2 (/.f64 x y))
(/.f64 (sqrt.f64 x) (/.f64 (.f64 (sqrt.f64 y) 2) (.f64 (sqrt.f64 x) (pow.f64 y -1/2))))
(.f64 (/.f64 x (.f64 2 (sqrt.f64 y))) (pow.f64 y -1/2))
(.f64 x (/.f64 (pow.f64 y -1/2) (.f64 2 (sqrt.f64 y))))
(/.f64 (sqrt.f64 x) (/.f64 (.f64 (.f64 (sqrt.f64 y) 2) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 x))))
(.f64 (/.f64 (sqrt.f64 x) (.f64 (*.f64 2 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) (neg.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (/.f64 (neg.f64 (sqrt.f64 x)) (.f64 y -2)))
(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 y) 2) (/.f64 (sqrt.f64 y) (sqrt.f64 x))))
(*.f64 1/2 (/.f64 x y))
(/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) (/.f64 (*.f64 (sqrt.f64 y) 2) (sqrt.f64 (/.f64 x (sqrt.f64 y)))))
(*.f64 1/2 (/.f64 x y))
(/.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))) (/.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))))
(*.f64 1/2 (/.f64 x y))
(/.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))) (/.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))))))
(*.f64 1/2 (/.f64 x y))
(/.f64 (cbrt.f64 x) (/.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 1/2 (/.f64 x y))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)) (cbrt.f64 x)))
(*.f64 1/2 (/.f64 x y))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (.f64 (sqrt.f64 y) 2) (.f64 (cbrt.f64 x) (pow.f64 y -1/2))))
(.f64 (/.f64 x (.f64 2 (sqrt.f64 y))) (pow.f64 y -1/2))
(.f64 x (/.f64 (pow.f64 y -1/2) (.f64 2 (sqrt.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (.f64 (.f64 (sqrt.f64 y) 2) (neg.f64 (sqrt.f64 y))) (neg.f64 (cbrt.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (*.f64 2 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) (neg.f64 (cbrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y -2) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 (sqrt.f64 y) 2) (/.f64 (sqrt.f64 y) (cbrt.f64 x))))
(*.f64 1/2 (/.f64 x y))
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(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (/.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 x y)))))))
(.f64 (cbrt.f64 (.f64 x (/.f64 x y))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))))))
(.f64 (.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))))) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))))))
(/.f64 x (sqrt.f64 y))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 x y) x))) (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))))) (.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) x))) (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (/.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 x y)))))))
(.f64 (cbrt.f64 (.f64 x (/.f64 x y))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))))))
(pow.f64 (/.f64 x (sqrt.f64 y)) 1)
(/.f64 x (sqrt.f64 y))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) 2)
(/.f64 x (sqrt.f64 y))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) 3)
(/.f64 x (sqrt.f64 y))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 3) 1/3)
(/.f64 x (sqrt.f64 y))
(pow.f64 (/.f64 (sqrt.f64 y) x) -1)
(/.f64 x (sqrt.f64 y))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 y))))
(/.f64 x (sqrt.f64 y))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)))
(/.f64 x (sqrt.f64 y))
(neg.f64 (*.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) 1))
(/.f64 x (sqrt.f64 y))
(neg.f64 (*.f64 x (/.f64 -1 (sqrt.f64 y))))
(/.f64 x (sqrt.f64 y))
(neg.f64 (*.f64 1 (/.f64 x (neg.f64 (sqrt.f64 y)))))
(/.f64 x (sqrt.f64 y))
(sqrt.f64 (*.f64 (/.f64 x y) x))
(sqrt.f64 (*.f64 x (/.f64 x y)))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 y))))
(/.f64 x (sqrt.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 y)))))
(/.f64 x (sqrt.f64 y))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 3))
(/.f64 x (sqrt.f64 y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3/2)))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 y))))
(/.f64 x (sqrt.f64 y))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 y))))
(/.f64 x (sqrt.f64 y))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 y))))
(/.f64 x (sqrt.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (sqrt.f64 y)))) 1)
(/.f64 1/2 (sqrt.f64 y))
(*.f64 1/2 (pow.f64 y -1/2))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) 1)
(/.f64 1/2 (sqrt.f64 y))
(*.f64 1 (/.f64 1/2 (sqrt.f64 y)))
(/.f64 1/2 (sqrt.f64 y))
(*.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))))
(/.f64 1/2 (sqrt.f64 y))
(*.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) (cbrt.f64 (/.f64 1/4 y)))
(*.f64 (cbrt.f64 (/.f64 1/4 y)) (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))))
(*.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) (cbrt.f64 (/.f64 1/4 y)))
(*.f64 (pow.f64 y -1/2) 1/2)
(*.f64 1/2 (pow.f64 y -1/2))
(*.f64 -1/2 (/.f64 -1 (sqrt.f64 y)))
(/.f64 1/2 (sqrt.f64 y))
(*.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 1/2 (pow.f64 y 1/4)))
(/.f64 (/.f64 1/2 (pow.f64 y 1/4)) (pow.f64 y 1/4))
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1/2 (cbrt.f64 (sqrt.f64 y))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 y)) 1/2) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 1/2 (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (/.f64 -1 (sqrt.f64 y)) -1/2)
(/.f64 1/2 (sqrt.f64 y))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))))
(/.f64 1/2 (sqrt.f64 y))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 y)))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 y))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 y))))))
(.f64 (cbrt.f64 (/.f64 1/4 y)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))))))
(.f64 (.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))))))
(/.f64 1/2 (sqrt.f64 y))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 y))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 y))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 y))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 y))))))
(.f64 (cbrt.f64 (/.f64 1/4 y)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))))))
(pow.f64 (/.f64 1/2 (sqrt.f64 y)) 1)
(/.f64 1/2 (sqrt.f64 y))
(pow.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))) 2)
(/.f64 1/2 (sqrt.f64 y))
(pow.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) 3)
(/.f64 1/2 (sqrt.f64 y))
(pow.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 3) 1/3)
(/.f64 1/2 (sqrt.f64 y))
(pow.f64 (*.f64 (sqrt.f64 y) 2) -1)
(/.f64 1/2 (sqrt.f64 y))
(sqrt.f64 (/.f64 1/4 y))
(log.f64 (exp.f64 (/.f64 1/2 (sqrt.f64 y))))
(/.f64 1/2 (sqrt.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (sqrt.f64 y)))))
(/.f64 1/2 (sqrt.f64 y))
(cbrt.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 3))
(/.f64 1/2 (sqrt.f64 y))
(expm1.f64 (log1p.f64 (/.f64 1/2 (sqrt.f64 y))))
(/.f64 1/2 (sqrt.f64 y))
(exp.f64 (log.f64 (/.f64 1/2 (sqrt.f64 y))))
(/.f64 1/2 (sqrt.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1/2 (sqrt.f64 y))))
(/.f64 1/2 (sqrt.f64 y))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.43%	(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
✓	0.5%	(/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 x 1/2)))
✓	0.87%	(cbrt.f64 (*.f64 x 1/2))
✓	44.56%	(cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))

Compiler

Compiled 82 to 61 computations (25.6% saved)

series29.0ms (0.2%)

Counts

4 → 48

Calls

21 calls:

Time	Variable		Point	Expression
15.0ms	y	@	inf	(cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))
3.0ms	y	@	0	(/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 x 1/2)))
2.0ms	y	@	0	(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
1.0ms	y	@	inf	(/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 x 1/2)))
1.0ms	x	@	0	(/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 x 1/2)))

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`associate-/r/`
998×	`associate-/l/`
958×	`swap-sqr`
484×	`distribute-lft-neg-in`
440×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	114
1	251	74
2	3434	74

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

Inputs
(cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (*.f64 x 1/2))
(/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 x 1/2)))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) 2) (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (cbrt.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (neg.f64 (/.f64 -1 (cbrt.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (cbrt.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (cbrt.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) (sqrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (.f64 x 1/2))) (sqrt.f64 y))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (cbrt.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y (neg.f64 (cbrt.f64 (.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 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simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1528×	`times-frac`
1330×	`distribute-lft-neg-in`
852×	`associate-/r*`
740×	`associate-r`
594×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	424	5287
1	1063	5125
2	6317	5125

Stop Event

1×	node limit

Counts

231 → 219

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))) 1)
(.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))) 1)
(.f64 1 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))))
(.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) 2) (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(exp.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/2)))) 1)
(.f64 (cbrt.f64 (.f64 x 1/2)) 1)
(.f64 1 (cbrt.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (.f64 x 1/2) 1/6) (pow.f64 (*.f64 x 1/2) 1/6))
(.f64 (pow.f64 (.f64 x 1/2) 1/6) (neg.f64 (neg.f64 (pow.f64 (*.f64 x 1/2) 1/6))))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 2) (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 x) (neg.f64 (neg.f64 (cbrt.f64 1/2))))
(.f64 (sqrt.f64 (neg.f64 (cbrt.f64 (.f64 x 1/2)))) (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (cbrt.f64 (.f64 x 1/2)))) (cbrt.f64 (neg.f64 (cbrt.f64 (.f64 x 1/2))))) (neg.f64 (cbrt.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/2))))))
(.f64 -1 (neg.f64 (cbrt.f64 (.f64 x 1/2))))
(.f64 (neg.f64 (pow.f64 (.f64 x 1/2) 1/6)) (neg.f64 (pow.f64 (*.f64 x 1/2) 1/6)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
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(cbrt.f64 (/.f64 (pow.f64 y 3) (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))

Outputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 1 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) 2) (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3) 1/3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 2))
(sqrt.f64 (pow.f64 (cos.f64 (.f64 (/.f64 1 y) (.f64 x 1/2))) 2))
(fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (.f64 x 1/2))))) 1))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/2)))) 1)
(cbrt.f64 (*.f64 x 1/2))
(.f64 (cbrt.f64 (.f64 x 1/2)) 1)
(cbrt.f64 (*.f64 x 1/2))
(.f64 1 (cbrt.f64 (.f64 x 1/2)))
(cbrt.f64 (*.f64 x 1/2))
(.f64 (pow.f64 (.f64 x 1/2) 1/6) (pow.f64 (*.f64 x 1/2) 1/6))
(cbrt.f64 (*.f64 x 1/2))
(.f64 (pow.f64 (.f64 x 1/2) 1/6) (neg.f64 (neg.f64 (pow.f64 (*.f64 x 1/2) 1/6))))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(cbrt.f64 (*.f64 x 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 2) (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (neg.f64 (neg.f64 (cbrt.f64 1/2))))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(.f64 (sqrt.f64 (neg.f64 (cbrt.f64 (.f64 x 1/2)))) (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/2))))))
(cbrt.f64 (*.f64 x 1/2))
(.f64 (.f64 (cbrt.f64 (neg.f64 (cbrt.f64 (.f64 x 1/2)))) (cbrt.f64 (neg.f64 (cbrt.f64 (.f64 x 1/2))))) (neg.f64 (cbrt.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/2))))))
(cbrt.f64 (*.f64 x 1/2))
(.f64 -1 (neg.f64 (cbrt.f64 (.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(.f64 (neg.f64 (pow.f64 (.f64 x 1/2) 1/6)) (neg.f64 (pow.f64 (*.f64 x 1/2) 1/6)))
(cbrt.f64 (*.f64 x 1/2))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x 1/2)))
(cbrt.f64 (*.f64 x 1/2))
(.f64 (pow.f64 (sqrt.f64 (.f64 x 1/2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 (.f64 x 1/2))))) (sqrt.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (*.f64 x 1/2))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (cbrt.f64 (.f64 x 1/2)))) (cbrt.f64 (neg.f64 (cbrt.f64 (.f64 x 1/2)))))) (cbrt.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (*.f64 x 1/2))
(.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 x 1/2) 1/6))) (pow.f64 (*.f64 x 1/2) 1/6))
(cbrt.f64 (*.f64 x 1/2))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(pow.f64 (*.f64 x 1/2) 1/3)
(cbrt.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1)
(cbrt.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2)
(cbrt.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 3)
(cbrt.f64 (*.f64 x 1/2))
(neg.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(fabs.f64 (cbrt.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (log.f64 (.f64 x 1/2)) 1/3))
(cbrt.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/2))) 1))
(cbrt.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))) 1)
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(.f64 y (.f64 (/.f64 1 (cbrt.f64 (.f64 x 1/2))) (/.f64 1 (cbrt.f64 (.f64 x 1/2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(.f64 y (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (/.f64 1 (cbrt.f64 (*.f64 x 1/2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
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(.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x 1/2))) y)
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 y) (/.f64 -1 (cbrt.f64 (.f64 x 1/2))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (sqrt.f64 (/.f64 y (neg.f64 (cbrt.f64 (.f64 x 1/2))))) (neg.f64 (sqrt.f64 (/.f64 y (neg.f64 (cbrt.f64 (*.f64 x 1/2)))))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (.f64 (cbrt.f64 (/.f64 y (neg.f64 (cbrt.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 y (neg.f64 (cbrt.f64 (.f64 x 1/2)))))) (neg.f64 (cbrt.f64 (/.f64 y (neg.f64 (cbrt.f64 (*.f64 x 1/2)))))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (pow.f64 (.f64 x 1/2) 1/6)) (/.f64 y (pow.f64 (*.f64 x 1/2) 1/6)))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 2)) (/.f64 y (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (/.f64 y (cbrt.f64 1/2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 1/2))
(.f64 -1 (/.f64 y (neg.f64 (cbrt.f64 (.f64 x 1/2)))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))))) (neg.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) 2)) (neg.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (/.f64 -1 (cbrt.f64 (.f64 x 1/2))) (neg.f64 y))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (cbrt.f64 (.f64 x 1/2))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) (/.f64 (sqrt.f64 y) (cbrt.f64 1/2)))
(*.f64 (/.f64 y (cbrt.f64 1/2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 1/2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 1/2))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (.f64 x 1/2) 1/6)) (/.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 1/2) 1/6)))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 x)) (/.f64 (cbrt.f64 y) (cbrt.f64 1/2)))
(*.f64 (/.f64 y (cbrt.f64 1/2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 1/2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 y))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (/.f64 (cbrt.f64 (.f64 x 1/2)) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (/.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 y (neg.f64 (cbrt.f64 (.f64 x 1/2)))))) (sqrt.f64 (/.f64 y (neg.f64 (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 y (neg.f64 (cbrt.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 y (neg.f64 (cbrt.f64 (.f64 x 1/2))))))) (cbrt.f64 (/.f64 y (neg.f64 (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))))) (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) 1)
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2)
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 3)
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) y) -1)
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 y (neg.f64 (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (/.f64 y (neg.f64 (cbrt.f64 (*.f64 x 1/2)))) 1))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) 2))
(fabs.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))))
(log.f64 (exp.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) 3))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (*.f64 x 1/2)))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) 1))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))

localize80.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	9.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))))))
✓	13.94%	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
	44.43%	(sin.f64 (*.f64 x (/.f64 1/2 y)))
	44.55%	(tan.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 107 to 81 computations (24.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))))))
0.0ms	y	@	inf	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))))))
0.0ms	x	@	0	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
0.0ms	y	@	inf	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
0.0ms	y	@	-inf	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`distribute-rgt-in`
634×	`distribute-lft-in`
480×	`associate-/r/`
384×	`add-sqr-sqrt`
370×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	56
1	427	56
2	5016	56

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 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(/.f64 1/2 y))))))) (*.f64 (pow.f64 1 1/2) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (pow.f64 1 1/2)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (pow.f64 1 1/2)) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 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y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change 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simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1290×	`distribute-lft-in`
1138×	`associate-+l+`
796×	`+-commutative`
778×	`associate-+r+`
452×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	391	6180
1	1054	5548
2	4948	5544

Stop Event

1×	node limit

Counts

132 → 145

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 x) (*.f64 1/4 x)) y)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 x) (.f64 1/4 x)) y)) (.f64 2 (/.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) (.f64 (pow.f64 y 2) x))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1/4 x) (.f64 1/4 x))) (.f64 (pow.f64 y 2) x))) (.f64 1/3 (/.f64 (+.f64 (.f64 -3/8 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 6 (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/48 (pow.f64 x 3)))))) (*.f64 (pow.f64 y 2) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 x) (.f64 1/4 x)) y)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/12 (/.f64 (+.f64 (.f64 -3/8 (pow.f64 x 4)) (+.f64 (.f64 24 (+.f64 (.f64 -1/96 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4)))) (+.f64 (.f64 -12 (.f64 (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/48 (pow.f64 x 3))) x)) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (.f64 3/4 (pow.f64 x 4)))))) x)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -3/8 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 6 (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/48 (pow.f64 x 3)))))) (+.f64 (.f64 -1/4 x) (.f64 1/4 x))) x)) (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) (-.f64 (.f64 2 (/.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1/4 x) (.f64 1/4 x))) x)) (.f64 1/3 (/.f64 (+.f64 (.f64 -3/8 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 6 (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/48 (pow.f64 x 3)))))) x))))) x))) (pow.f64 y 3))) (.f64 2 (/.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) (.f64 (pow.f64 y 2) x)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1/4 x) (.f64 1/4 x))) (.f64 (pow.f64 y 2) x))) (.f64 1/3 (/.f64 (+.f64 (.f64 -3/8 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 6 (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/48 (pow.f64 x 3)))))) (.f64 (pow.f64 y 2) x)))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) (.f64 y x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/16 (pow.f64 x 3))) (.f64 (pow.f64 y 2) x))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) (.f64 y x))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) 2) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (.f64 -1/3 (/.f64 (+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/4 (pow.f64 x 3)) (.f64 6 (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/48 (pow.f64 x 3)))))) (*.f64 (pow.f64 y 2) x)))))
(-.f64 (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/4 (pow.f64 x 3)) (.f64 6 (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/48 (pow.f64 x 3))))))) (.f64 (pow.f64 y 3) (pow.f64 x 2)))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/16 (pow.f64 x 3))) (.f64 (pow.f64 y 2) x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) (.f64 y x))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) (-.f64 (.f64 -2 (/.f64 (-.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/16 (pow.f64 x 3))) x)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) 2) (pow.f64 x 2))) (.f64 -1/3 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 x 3)) (+.f64 (.f64 3/8 (pow.f64 x 3)) (.f64 6 (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/48 (pow.f64 x 3)))))) x))))) (.f64 (pow.f64 y 3) x))) (.f64 -1/12 (/.f64 (+.f64 (.f64 -3/8 (pow.f64 x 4)) (+.f64 (.f64 24 (+.f64 (.f64 -1/96 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4)))) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (+.f64 (.f64 12 (.f64 (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/48 (pow.f64 x 3))) x)) (.f64 3/4 (pow.f64 x 4)))))) (.f64 (pow.f64 y 3) x)))))))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/4 (pow.f64 x 3)) (.f64 6 (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/48 (pow.f64 x 3)))))) (.f64 (pow.f64 y 2) x))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 2))) 2) (.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 0)
(+.f64 0 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (sin.f64 (.f64 x (/.f64 1/2 y))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (sin.f64 (.f64 x (/.f64 1/2 y)))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(+.f64 (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (sin.f64 (.f64 x (/.f64 1/2 y)))))))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))))
(+.f64 (.f64 (pow.f64 1 1/2) 0) (sin.f64 (.f64 x (/.f64 1/2 y))))
(+.f64 (.f64 (pow.f64 1 1/2) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (sin.f64 (.f64 x (/.f64 1/2 y)))))))) (.f64 (pow.f64 1 1/2) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
(+.f64 (.f64 (pow.f64 1 1/2) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) (.f64 (pow.f64 1 1/2) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))))
(+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (sin.f64 (.f64 x (/.f64 1/2 y))))))) 1) (.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) 1))
(+.f64 (.f64 0 (pow.f64 1 1/2)) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 1 1/2)))
(+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (sin.f64 (.f64 x (/.f64 1/2 y))))))) (pow.f64 1 1/2)) (.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 1 1/2)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (pow.f64 1 1/2)) (.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (pow.f64 1 1/2)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (-.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3)))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (-.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 1)
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))
(.f64 (pow.f64 1 1/2) (sin.f64 (.f64 x (/.f64 1/2 y))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) 1/2))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)) 1/2))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))) 1)
(.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 1 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (neg.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
(neg.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))

Outputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (.f64 1/2 (/.f64 x y)) (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (.f64 1/2 (/.f64 x y)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
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(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(.f64 (/.f64 1 (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3) 1/3)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))
(fabs.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))

eval1.1s (7.4%)

Compiler: Compiled 35706 to 25512 computations (28.5% saved)

prune851.0ms (5.9%)

Pruning

134 alts after pruning (125 fresh and 9 done)

	Pruned	Kept	Total
New	1377	65	1442
Fresh	55	60	115
Picked	1	0	1
Done	2	9	11
Total	1435	134	1569

Error

37.95%

Counts

1569 → 134

Alt Table

Click to see full alt table

Status	Error	Program
	44.26%	(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)
	46.37%	(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2)
	54.66%	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
	75.42%	(/.f64 (pow.f64 (fabs.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	78.79%	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 1/6) 2))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
✓	56.69%	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	79.08%	(/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 3) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
	82.19%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	55.82%	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	56.46%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 3) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	55.76%	(/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	97.88%	(/.f64 (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (/.f64 (.f64 1/2 x) y))))) (sqrt.f64 (neg.f64 (cos.f64 (/.f64 (.f64 1/2 x) y)))))
	44.1%	(/.f64 (+.f64 2 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))) (+.f64 1 (.f64 2 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
	55.82%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3)) (sin.f64 (/.f64 x (.f64 y 2))))
	55.48%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	81.9%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
	54.92%	(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (.f64 y 2))))
	56.1%	(/.f64 (.f64 (/.f64 1 1) (sin.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
	59.17%	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	55.56%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	58.73%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (/.f64 (.f64 1/2 x) y))
	93.69%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
	93.74%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
	93.77%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))
	54.88%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	94.28%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3) 2))))))
	94.28%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 2))))))
✓	93.66%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))))
	93.66%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	75.14%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fabs.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))
	78%	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
	54.99%	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (.f64 y 2))))
	54.64%	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	54.64%	(/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y)))))
	75%	(/.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (.f64 y 2))))
	47.56%	(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
	44.25%	(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 3))
	44.76%	(/.f64 1 (.f64 (cbrt.f64 (fabs.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
	44.1%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)))
	44.09%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fma.f64 1/2 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) 3) 1/2))))
	44.51%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fma.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2)) 1/2))))
	44.1%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fma.f64 1/2 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3)) 1/2))))
	44.92%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fma.f64 1/2 1 1/2))))
	44.1%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 1)))))
	93.99%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2))) (-.f64 1/2 (.f64 (cos.f64 (/.f64 x y)) 1/2))))))
	44.1%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) 1))))
	44.1%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (+.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 1/2))))
	44.1%	(/.f64 1 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (log.f64 (exp.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))
	45.44%	(/.f64 1 (*.f64 (cbrt.f64 1) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
	44.74%	(/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 2)))
	44.76%	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
	44.24%	(/.f64 1 (log.f64 (exp.f64 (cos.f64 (/.f64 (/.f64 x 2) y)))))
	44.76%	(/.f64 1 (fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
	44.06%	(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
	56.5%	(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 x 2) y) 3) 1/3)))
	66.83%	(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 x 2) y)) 2)))
	45.46%	(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x 2) y)) 3)))
	73.67%	(/.f64 1 (cos.f64 (/.f64 (pow.f64 (pow.f64 (.f64 x 1/2) 1/6) 2) (/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
	73.46%	(/.f64 1 (cos.f64 (/.f64 (pow.f64 (.f64 x 1/2) 1/3) (/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
	44.25%	(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 3) (/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
	72.03%	(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 (sqrt.f64 y) 2) (/.f64 (sqrt.f64 y) (cbrt.f64 x))))))
	72.44%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (*.f64 (sqrt.f64 y) (cbrt.f64 (sqrt.f64 y))))))
	44.77%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
	71.96%	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))))
	44.48%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))))
	44.81%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))))
	72.09%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (sqrt.f64 y) (pow.f64 y 1/4))) (/.f64 (pow.f64 y 1/4) x))))
	44.42%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))
	44.53%	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
	52.71%	(/.f64 1 (cos.f64 (/.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/2)))) 1) (/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
	44.66%	(/.f64 1 (cos.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
	49.64%	(/.f64 1 (cos.f64 (/.f64 (.f64 (.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) 1) (cbrt.f64 (*.f64 y 2)))))
	73.69%	(/.f64 1 (cos.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2))) y)))
	44.54%	(/.f64 1 (cos.f64 (/.f64 (.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 1/2 x))) (/.f64 y (cbrt.f64 (.f64 1/2 x))))))
	49.29%	(/.f64 1 (cos.f64 (/.f64 (.f64 x (cbrt.f64 (/.f64 1/4 (.f64 y y)))) (cbrt.f64 (*.f64 y 2)))))
	44.15%	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))
	69.7%	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x)))))
	73.55%	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))
	45.93%	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 y x) 2)))))
	73.75%	(/.f64 1 (cos.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 x 1/2)) 1/3)) (/.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 x 1/2))))))
	56.51%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) 3) 1/3))))
	44.75%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2))) 3))))
	44.74%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) 3) (cbrt.f64 (*.f64 x 1/2))))))
	45.06%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (/.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 1/2)) (cbrt.f64 (.f64 x 1/2))))))
	73.65%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (/.f64 y (pow.f64 (pow.f64 (.f64 x 1/2) 1/6) 2)) (cbrt.f64 (*.f64 x 1/2))))))
	73.8%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (/.f64 y (pow.f64 (.f64 x 1/2) 1/3)) (cbrt.f64 (*.f64 x 1/2))))))
	44.58%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (/.f64 y (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x 1/2))))) (cbrt.f64 (*.f64 x 1/2))))))
	44.6%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (/.f64 y (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 2) (cbrt.f64 (cbrt.f64 (.f64 x 1/2))))) (cbrt.f64 (*.f64 x 1/2))))))
	73.92%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (/.f64 y (exp.f64 (log.f64 (cbrt.f64 (.f64 x 1/2))))) (cbrt.f64 (*.f64 x 1/2))))))
	73.8%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (.f64 x 1/2) 1/6)) (/.f64 (cbrt.f64 y) (pow.f64 (.f64 x 1/2) 1/6))) (cbrt.f64 (*.f64 x 1/2))))))
	70.54%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (exp.f64 (log.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2))))) (cbrt.f64 (*.f64 x 1/2))))))
	50.58%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
	73.93%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) 2) (pow.f64 (.f64 x 1/2) 1/6)) (/.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (.f64 x 1/2)))) (pow.f64 (.f64 x 1/2) 1/6))))))
	44.99%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (.f64 (/.f64 y (cbrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 1/4))))))
	85.74%	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (exp.f64 (-.f64 (log.f64 y) (.f64 (log.f64 (*.f64 x 1/2)) 2/3))))))
	71.94%	(/.f64 1 (cos.f64 (/.f64 x (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 2)))))
✓	44.07%	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
	71.98%	(/.f64 1 (cos.f64 (/.f64 -1/2 (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))))
	72.94%	(/.f64 1 (cos.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 3) 1/3) (/.f64 x (sqrt.f64 y)))))
	50.81%	(/.f64 1 (cos.f64 (.f64 (/.f64 (.f64 1/2 (cbrt.f64 (*.f64 x x))) y) (cbrt.f64 x))))
	73.88%	(/.f64 1 (cos.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 y 2)) (sqrt.f64 x))))
	44.87%	(/.f64 1 (cos.f64 (.f64 (/.f64 (cbrt.f64 (.f64 1/2 x)) (/.f64 y (cbrt.f64 (.f64 1/2 x)))) (cbrt.f64 (.f64 1/2 x)))))
	50.94%	(/.f64 1 (cos.f64 (.f64 (/.f64 (cbrt.f64 x) (.f64 y 2)) (cbrt.f64 (*.f64 x x)))))
	44.67%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))
	44.62%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))
✓	71.97%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
	71.71%	(/.f64 1 (cos.f64 (.f64 (/.f64 1/2 (sqrt.f64 y)) (.f64 (pow.f64 y -1/2) x))))
	74.27%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 y)))))))
✓	44.1%	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
	72.08%	(/.f64 1 (cos.f64 (.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))))) (/.f64 x (sqrt.f64 y)))))
	67.11%	(/.f64 1 (cos.f64 (.f64 (sqrt.f64 (/.f64 x y)) (.f64 1/2 (sqrt.f64 (/.f64 x y))))))
	70.78%	(/.f64 1 (cos.f64 (.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (sqrt.f64 (neg.f64 x)) (.f64 y -2)))))
	71.95%	(/.f64 1 (cos.f64 (*.f64 (expm1.f64 (log1p.f64 (/.f64 1/2 (sqrt.f64 y)))) (/.f64 x (sqrt.f64 y)))))
	72.28%	(/.f64 1 (cos.f64 (*.f64 (exp.f64 (log.f64 (/.f64 1/2 (sqrt.f64 y)))) (/.f64 x (sqrt.f64 y)))))
✓	44.33%	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
	46.82%	(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (/.f64 x 2) y)))))
	67.04%	(/.f64 1 (cos.f64 (exp.f64 (log.f64 (/.f64 (/.f64 x 2) y)))))
	46.58%	(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x 2) y) 3))))
	46.76%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 x y))) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 1/2)))))))) 1)
	46.79%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y)))))) 1)
	73.13%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 x))))))) 1)
	46.23%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))))) 1)
✓	46.44%	(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
	44.25%	(+.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2) -2)
	44.25%	(+.f64 (+.f64 -1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)
✓	48.5%	(+.f64 1 (.f64 1/8 (.f64 (/.f64 x y) (/.f64 x y))))
	77.68%	(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	56.27%	(.f64 (/.f64 1 (.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
	56.28%	(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
	56.28%	(.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	44.67%	(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2))
	44.26%	(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
	44.1%	(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
	43.95%	1

Compiler

Compiled 2620 to 2066 computations (21.1% saved)

regimes1.1s (7.9%)

Accuracy

Total -35.9b remaining (-127.5%)

Threshold costs -35.9b (-127.5%)

Counts

236 → 1

Calls

Call 1

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

Outputs
1

Calls

5 calls:

241.0ms	y
211.0ms	(/.f64 x (*.f64 y 2))
206.0ms	(*.f64 y 2)
166.0ms	x
139.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Results

Error	Segments	Branch
43.95%	1	`x`
43.95%	1	`y`
43.95%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))`
43.95%	1	`(/.f64 x (*.f64 y 2))`
43.95%	1	`(*.f64 y 2)`

Compiler

Compiled 4461 to 3214 computations (28% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	5	1

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
1

Outputs
1

Compiler

Compiled 3 to 3 computations (0% saved)

soundness0.0ms (0%)

end10.0ms (0.1%)

Compiler: Compiled 3 to 3 computations (0% saved)