Details

analyze589.0ms (4%)

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)

sample3.5s (23.5%)

Results

1.1s	1198×	body	2048	valid
1.0s	4845×	body	256	valid
937.0ms	1344×	body	1024	valid
350.0ms	864×	body	512	valid
8.0ms	5×	body	4096	valid

Bogosity

preprocess6.0ms (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)

simplify12.0ms (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

34.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	6.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	28.0b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	28.3b	(tan.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 38 to 25 computations (34.2% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
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	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
1.0ms	x	@	-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)))

rewrite78.0ms (0.5%)

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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simplify121.0ms (0.8%)

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))))

eval138.0ms (0.9%)

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

prune88.0ms (0.6%)

Pruning

48 alts after pruning (47 fresh and 1 done)

	Pruned	Kept	Total
New	161	47	208
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	161	48	209

Error

24.8b

Counts

209 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	36.1b	(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
	35.1b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
	35.7b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	35.8b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	36.0b	(/.f64 (/.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)))) (sin.f64 (/.f64 x (*.f64 y 2))))
	49.3b	(/.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 1 (sqrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	35.3b	(/.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))))
	35.8b	(/.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))))
	35.8b	(/.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))))
	36.0b	(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
▶	36.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	35.7b	(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (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))))
	49.8b	(/.f64 (.f64 (sqrt.f64 (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	36.0b	(/.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))))
	35.7b	(/.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))))
	37.8b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	44.7b	(/.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)))))
	35.6b	(/.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))))))
	35.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	53.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	34.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	60.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	47.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
	35.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	50.7b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 3)))
	35.3b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.1b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	53.3b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.3b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	59.6b	(/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (.f64 y 2))))
	59.6b	(/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	47.6b	(/.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (.f64 y 2))))
	50.2b	(/.f64 (exp.f64 (log.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
▶	50.4b	(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3)) (sin.f64 (/.f64 x (.f64 y 2))))
▶	27.9b	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
▶	34.0b	(+.f64 1 (.f64 1/8 (/.f64 (.f64 x x) (*.f64 y y))))
	35.1b	(.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))))))
	35.0b	(.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)))
▶	35.7b	(.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)))))
	49.3b	(.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)))))
	35.9b	(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
	34.7b	(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))
	35.1b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
	36.1b	(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
	35.1b	(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	27.4b	1

Compiler

Compiled 2100 to 1584 computations (24.6% saved)

localize62.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 x y))
✓	0.1b	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
✓	27.9b	(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	@	inf	(/.f64 1 (cos.f64 (*.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	@	0	(*.f64 1/2 (/.f64 x y))

rewrite233.0ms (1.6%)

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

simplify144.0ms (1%)

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 → 329

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

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

localize37.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.0b	(/.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))
0.0ms	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))

rewrite103.0ms (0.7%)

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)))))))

simplify70.0ms (0.5%)

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)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.9b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
✓	28.0b	(cos.f64 (*.f64 x (/.f64 1/2 y)))
	28.0b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	28.0b	(sin.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 101 to 71 computations (29.7% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`associate-/r/`
874×	`associate-/l/`
418×	`add-sqr-sqrt`
404×	`pow1`
404×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	105
1	416	95
2	5991	95

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs

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

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

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

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1514×	`times-frac`
1070×	`associate-r`
782×	`associate-/l*`
660×	`associate-/r*`
596×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	402	6632
1	1068	6484
2	7311	6484

Stop Event

1×	node limit

Counts

228 → 216

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

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))))
(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)))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (.f64 (/.f64 (.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.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 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) (*.f64 y y)) 1/8)))
(+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384))
(+.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 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/8 (.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))))
(/.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 1 (.f64 (/.f64 (.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.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)))))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (.f64 (/.f64 (.f64 x x) (.f64 y y)) 1/8)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)))
(+.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))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (.f64 (.f64 x x) (.f64 (pow.f64 x 4) -5/384)) (.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (.f64 (/.f64 (.f64 x x) (.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (.f64 1/8 (*.f64 (pow.f64 x 6) -5/384))) (pow.f64 y 6)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (.f64 (/.f64 (.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.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)))))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (.f64 (/.f64 (.f64 x x) (.f64 y y)) 1/8)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)))
(+.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))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (.f64 (.f64 x x) (.f64 (pow.f64 x 4) -5/384)) (.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (.f64 (/.f64 (.f64 x x) (.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (.f64 1/8 (*.f64 (pow.f64 x 6) -5/384))) (pow.f64 y 6)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 1)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y))))
(sin.f64 (*.f64 1/2 (/.f64 x 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 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)))
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(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (/.f64 -1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y))))))
(/.f64 (.f64 (/.f64 -1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2))
(/.f64 (neg.f64 (cbrt.f64 (/.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))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))) 2)))
(.f64 (/.f64 (/.f64 -1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (/.f64 (cos.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 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (/.f64 -1 (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))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (/.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)))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (/.f64 (/.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))))) 2)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 (/.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))))) 3)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (/.f64 (/.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)))) 3) 1/3)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.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))))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (/.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 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (/.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)))) 2))
(sqrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(fabs.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (exp.f64 (/.f64 (/.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 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.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 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (/.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)))) 3))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (/.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 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (/.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 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.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))))) 1))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (/.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 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.9b	(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3)) (sin.f64 (/.f64 x (.f64 y 2))))
✓	14.6b	(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3))
	28.0b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	28.1b	(tan.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 68 to 48 computations (29.4% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`swap-sqr`
414×	`distribute-lft-neg-in`
400×	`associate-/r/`
362×	`distribute-rgt-neg-in`
352×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	370	73
2	4538	73

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

Outputs

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((#(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 (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 (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)))) (pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 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simplify124.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1410×	`associate--r+`
1230×	`+-commutative`
1204×	`associate-+r+`
620×	`associate-r`
502×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	9768
1	1167	9502
2	5620	9458

Stop Event

1×	node limit

Counts

198 → 157

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

localize65.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.4b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y))))
✓	7.5b	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
	28.0b	(sin.f64 (*.f64 x (/.f64 1/2 y)))
	28.1b	(tan.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 82 to 59 computations (28% saved)

series29.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y))))
4.0ms	y	@	-inf	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
3.0ms	x	@	inf	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y))))
3.0ms	x	@	0	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
3.0ms	y	@	0	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y))))

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`associate-*r/`
1188×	`associate-*l/`
1164×	`associate-/r*`
856×	`associate-/l*`
292×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	293	70
2	3580	70

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (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 (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 1 (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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 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y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2) (pow.f64 (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))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 4) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule 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simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1470×	`associate-+r+`
1332×	`associate-+l+`
1118×	`associate-*r/`
1046×	`associate-/r*`
586×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	4449
1	360	4407
2	1221	4401
3	6254	4401

Stop Event

1×	node limit

Counts

91 → 91

Calls

Call 1

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

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

eval707.0ms (4.8%)

Compiler: Compiled 33589 to 24606 computations (26.7% saved)

prune710.0ms (4.8%)

Pruning

94 alts after pruning (91 fresh and 3 done)

	Pruned	Kept	Total
New	1045	76	1121
Fresh	27	15	42
Picked	1	0	1
Done	2	3	5
Total	1075	94	1169

Error

23.9b

Counts

1169 → 94

Alt Table

Click to see full alt table

Status	Error	Program
	29.1b	(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
	29.1b	(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
	27.9b	(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
	35.1b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
▶	35.7b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	62.7b	(/.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y))))) (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))))
	36.0b	(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	61.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) 1)) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	61.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (.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))))))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	61.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	61.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	36.5b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (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))))
	60.3b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	35.9b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	36.3b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 1) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	36.0b	(/.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))))
	35.7b	(/.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))))
	35.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	35.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	53.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	34.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	60.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	47.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
	35.3b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.1b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	61.0b	(/.f64 (neg.f64 (cbrt.f64 (/.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))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))) 2)))
	50.4b	(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) 3)) (sin.f64 (/.f64 x (.f64 y 2))))
	50.3b	(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 3)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	50.1b	(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) 3)) (sin.f64 (/.f64 x (.f64 y 2))))
	55.2b	(/.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 3)) (sin.f64 (/.f64 x (.f64 y 2))))
	33.4b	(/.f64 1 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1))
▶	27.9b	(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
	27.9b	(/.f64 1 (/.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))))))))
	27.9b	(/.f64 1 (/.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))))
	28.0b	(/.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))))
▶	27.7b	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
	27.9b	(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	27.9b	(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	36.4b	(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))
	42.9b	(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
	28.0b	(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
	28.2b	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))
	28.4b	(/.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)))))
	45.2b	(/.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)))))
	28.0b	(/.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)))))
	45.3b	(/.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)))))
	27.7b	(/.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)))))
	43.7b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))
	28.1b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))))
	45.1b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 y))))
	28.4b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))
	28.1b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
	28.0b	(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))))
	28.1b	(/.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))))))
	45.5b	(/.f64 1 (cos.f64 (/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))
	28.4b	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))
	28.9b	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 y x)))))
	27.8b	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
	45.1b	(/.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))))
	28.1b	(/.f64 1 (cos.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))))
	28.0b	(/.f64 1 (cos.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))))
	45.0b	(/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 (.f64 (sqrt.f64 y) (sqrt.f64 y))))))
	28.0b	(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
✓	27.9b	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
	30.1b	(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
	29.4b	(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
	60.8b	(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
▶	60.9b	(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
✓	34.0b	(+.f64 1 (.f64 1/8 (/.f64 (.f64 x x) (*.f64 y y))))
	35.1b	(.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))))))
	36.1b	(.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 3) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
	36.1b	(.f64 (/.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.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)))))
	49.9b	(.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (sin.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)))))
	36.2b	(.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
	35.7b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y))))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y))))))
	35.7b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.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)))))
	35.3b	(.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)))) 3)) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
	36.0b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))))))
	47.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (fabs.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))))
	35.8b	(.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 1/2 (/.f64 x y)))))
▶	48.1b	(.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 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))
	60.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
	60.9b	(.f64 (/.f64 (/.f64 -1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
	62.4b	(.f64 (/.f64 (/.f64 -1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
	60.9b	(.f64 (/.f64 (/.f64 -1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	60.9b	(.f64 (/.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	60.9b	(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	35.9b	(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
	60.9b	(.f64 (/.f64 -1 (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)))))
	29.1b	(.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))))))))
	27.7b	(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
	27.9b	(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	29.1b	(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	27.4b	1

Compiler

Compiled 4141 to 3151 computations (23.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
✓	0.1b	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
✓	0.4b	(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
✓	28.4b	(cos.f64 (/.f64 x y))

Compiler

Compiled 47 to 24 computations (48.9% saved)

series10.0ms (0.1%)

Counts

4 → 60

Calls

24 calls:

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

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`associate-*r/`
976×	`associate-*l/`
896×	`associate-/r*`
616×	`associate-/l*`
450×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	94
1	270	78
2	3370	78

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

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

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 (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 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 exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 (cos.f64 (/.f64 x y)) 1/2 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (.f64 -1/2 (cos.f64 (/.f64 x y))))) (/.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4) (.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 2)) (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 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 (+.f64 1/2 (.f64 -1/2 (cos.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3)) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (-.f64 1/4 (.f64 1/4 (cos.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4)) (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 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 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 (/.f64 x y))))) (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (-.f64 1/4 (.f64 1/4 (cos.f64 (/.f64 x y)))))) (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 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simplify244.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

816×	`+-commutative`
750×	`associate-r`
718×	`associate-/l*`
642×	`associate-+r+`
594×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	605	15536
1	1461	14656
2	6598	14656

Stop Event

1×	node limit

Counts

282 → 382

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))))))
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 (*.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 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 4))) (pow.f64 (/.f64 1/8 (pow.f64 y 2)) 2)) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 4))) (pow.f64 (/.f64 1/8 (pow.f64 y 2)) 2)) (pow.f64 x 4))) (.f64 1/2 (.f64 (-.f64 (.f64 17/2880 (/.f64 1 (pow.f64 y 6))) (.f64 1/8 (/.f64 (-.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 4))) (pow.f64 (/.f64 1/8 (pow.f64 y 2)) 2)) (pow.f64 y 2)))) (pow.f64 x 6))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/8 (pow.f64 x 2)) 2) (+.f64 (.f64 -1/16 (pow.f64 x 4)) (.f64 1/48 (pow.f64 x 4)))) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/8 (pow.f64 x 2)) 2) (+.f64 (.f64 -1/16 (pow.f64 x 4)) (.f64 1/48 (pow.f64 x 4)))) (pow.f64 y 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/1440 (pow.f64 x 6)) (+.f64 (.f64 1/192 (pow.f64 x 6)) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 x 4)) (.f64 1/48 (pow.f64 x 4))) (pow.f64 x 2))) (.f64 -1/8 (.f64 (+.f64 (pow.f64 (.f64 1/8 (pow.f64 x 2)) 2) (+.f64 (.f64 -1/16 (pow.f64 x 4)) (*.f64 1/48 (pow.f64 x 4)))) (pow.f64 x 2)))))) (pow.f64 y 6))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/8 (pow.f64 x 2)) 2) (+.f64 (.f64 -1/16 (pow.f64 x 4)) (.f64 1/48 (pow.f64 x 4)))) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/8 (pow.f64 x 2)) 2) (+.f64 (.f64 -1/16 (pow.f64 x 4)) (.f64 1/48 (pow.f64 x 4)))) (pow.f64 y 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/1440 (pow.f64 x 6)) (+.f64 (.f64 1/192 (pow.f64 x 6)) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 x 4)) (.f64 1/48 (pow.f64 x 4))) (pow.f64 x 2))) (.f64 -1/8 (.f64 (+.f64 (pow.f64 (.f64 1/8 (pow.f64 x 2)) 2) (+.f64 (.f64 -1/16 (pow.f64 x 4)) (*.f64 1/48 (pow.f64 x 4)))) (pow.f64 x 2)))))) (pow.f64 y 6))))))
1
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(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (cbrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2))))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2))
(/.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4)) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2))
(/.f64 (*.f64 (pow.f64 1 1/2) (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2)))
(/.f64 (*.f64 (pow.f64 1 1/2) (neg.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))) -1)
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3)))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (-.f64 1/4 (.f64 1/4 (cos.f64 (/.f64 x y)))))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 1) -1)
(/.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4) 1) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3))) 1) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (-.f64 1/4 (.f64 1/4 (cos.f64 (/.f64 x y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)))) 1) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (-.f64 1/4 (.f64 1/4 (cos.f64 (/.f64 x y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2)) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2))) (cbrt.f64 (/.f64 1 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2)))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4) -1)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4) -1))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) -1))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4) 1) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2)))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4) (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2))) (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2)))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2))))
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 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 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/2 (.f64 (/.f64 x y) (/.f64 x y)))))
(+.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 (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 (.f64 -1/720 (pow.f64 x 6)) (pow.f64 y 6))))
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 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/2 (.f64 (/.f64 x y) (/.f64 x y)))))
(+.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 (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 (.f64 -1/720 (pow.f64 x 6)) (pow.f64 y 6))))
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 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/2 (.f64 (/.f64 x y) (/.f64 x y)))))
(+.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 (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 (.f64 -1/720 (pow.f64 x 6)) (pow.f64 y 6))))
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) 1/48) (pow.f64 y 4)))
(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))
(+.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) 1/48) (pow.f64 y 4))))
(+.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 (pow.f64 x 6) (/.f64 (pow.f64 y 6) -1/1440))))
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) 1/48) (pow.f64 y 4)))
(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))
(+.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) 1/48) (pow.f64 y 4))))
(+.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 (pow.f64 x 6) (/.f64 (pow.f64 y 6) -1/1440))))
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) 1/48) (pow.f64 y 4)))
(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))
(+.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) 1/48) (pow.f64 y 4))))
(+.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 (pow.f64 x 6) (/.f64 (pow.f64 y 6) -1/1440))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (.f64 (/.f64 (.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 1 (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 4))) (pow.f64 (/.f64 1/8 (pow.f64 y 2)) 2)) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/8 (/.f64 (.f64 x x) (.f64 y y)) (.f64 1/2 (.f64 (pow.f64 x 4) (-.f64 (/.f64 1/24 (pow.f64 y 4)) (pow.f64 (/.f64 1/8 (*.f64 y y)) 2))))))
(+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (.f64 (-.f64 (/.f64 1/24 (pow.f64 y 4)) (pow.f64 (/.f64 (/.f64 1/8 y) y) 2)) (*.f64 (pow.f64 x 4) 1/2)))
(+.f64 1 (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 4))) (pow.f64 (/.f64 1/8 (pow.f64 y 2)) 2)) (pow.f64 x 4))) (.f64 1/2 (.f64 (-.f64 (.f64 17/2880 (/.f64 1 (pow.f64 y 6))) (.f64 1/8 (/.f64 (-.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 4))) (pow.f64 (/.f64 1/8 (pow.f64 y 2)) 2)) (pow.f64 y 2)))) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 1/8 (/.f64 (.f64 x x) (.f64 y y)) (.f64 1/2 (+.f64 (.f64 (pow.f64 x 4) (-.f64 (/.f64 1/24 (pow.f64 y 4)) (pow.f64 (/.f64 1/8 (.f64 y y)) 2))) (.f64 (pow.f64 x 6) (+.f64 (/.f64 17/2880 (pow.f64 y 6)) (.f64 -1/8 (/.f64 (-.f64 (/.f64 1/24 (pow.f64 y 4)) (pow.f64 (/.f64 1/8 (.f64 y y)) 2)) (*.f64 y y)))))))))
(+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (.f64 1/2 (fma.f64 (pow.f64 x 4) (-.f64 (/.f64 1/24 (pow.f64 y 4)) (pow.f64 (/.f64 (/.f64 1/8 y) y) 2)) (.f64 (pow.f64 x 6) (+.f64 (/.f64 17/2880 (pow.f64 y 6)) (.f64 (/.f64 (-.f64 (/.f64 1/24 (pow.f64 y 4)) (pow.f64 (/.f64 (/.f64 1/8 y) y) 2)) (*.f64 y y)) -1/8))))))
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(/.f64 (cbrt.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) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) -1/2)))
(/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) -1/2)) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) -1/2))))
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/2)
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1)
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/4) 2)
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 3)
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1/2))
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 1))
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))

localize55.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 x y))
✓	0.1b	(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
	27.9b	(cos.f64 (*.f64 1/2 (/.f64 x y)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series9.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1.0ms	x	@	0	(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
0.0ms	y	@	inf	(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
0.0ms	x	@	inf	(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
0.0ms	y	@	0	(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1118×	`associate-*r/`
1008×	`associate-/r*`
982×	`*-commutative`
722×	`associate-*l/`
612×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	228	23
2	2739	23

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1250×	`associate-/l/`
1172×	`associate-+r+`
1064×	`associate-r`
886×	`associate-l`
802×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1631
1	323	1489
2	1019	1433
3	4571	1429

Stop Event

1×	node limit

Counts

43 → 59

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 -61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) 1)
-1
(-.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (.f64 1/64 (pow.f64 x 4))) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3072 (pow.f64 x 6)) (+.f64 (.f64 1/46080 (pow.f64 x 6)) (.f64 1/8 (.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (.f64 1/64 (pow.f64 x 4))) (pow.f64 x 2))))) (pow.f64 y 6))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (*.f64 1/64 (pow.f64 x 4))) (pow.f64 y 4))))) 1)
-1
(-.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (.f64 1/64 (pow.f64 x 4))) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3072 (pow.f64 x 6)) (+.f64 (.f64 1/46080 (pow.f64 x 6)) (.f64 1/8 (.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (.f64 1/64 (pow.f64 x 4))) (pow.f64 x 2))))) (pow.f64 y 6))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (*.f64 1/64 (pow.f64 x 4))) (pow.f64 y 4))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(.f64 -1 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))) 1)
(.f64 1 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(.f64 (pow.f64 (/.f64 -1 (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 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) -1)
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (neg.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 -1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (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 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2))))
(.f64 (.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))))) (.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y))))))) (.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(pow.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(pow.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(neg.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(log.f64 (exp.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(log1p.f64 (expm1.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 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 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 -1/8 y) (/.f64 x (/.f64 y x)) -1)
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) -1)
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 -61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) 1)
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) -1)
(+.f64 -1 (fma.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1)))
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1)))
-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)
(fma.f64 (/.f64 -1/8 y) (/.f64 x (/.f64 y x)) -1)
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) -1)
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (.f64 1/64 (pow.f64 x 4))) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3072 (pow.f64 x 6)) (+.f64 (.f64 1/46080 (pow.f64 x 6)) (.f64 1/8 (.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (.f64 1/64 (pow.f64 x 4))) (pow.f64 x 2))))) (pow.f64 y 6))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (*.f64 1/64 (pow.f64 x 4))) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1/3072 (pow.f64 x 6) (fma.f64 1/46080 (pow.f64 x 6) (.f64 (.f64 1/8 (.f64 (pow.f64 x 4) 5/384)) (.f64 x x)))) (pow.f64 y 6)) (/.f64 (.f64 (pow.f64 x 4) 5/384) (pow.f64 y 4))))) -1)
(fma.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) 5/384)) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 x 4) 5/384) (.f64 (.f64 x x) 1/8)) (.f64 (pow.f64 x 6) -7/23040)) (pow.f64 y 6))) -1))
(fma.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 x 6) -7/23040 (.f64 (pow.f64 x 6) 5/3072)) (pow.f64 y 6)) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(-.f64 (fma.f64 -1/8 (/.f64 x (.f64 y (/.f64 y x))) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)) (/.f64 (fma.f64 (pow.f64 x 6) -7/23040 (.f64 (pow.f64 x 6) 5/3072)) (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)
(fma.f64 (/.f64 -1/8 y) (/.f64 x (/.f64 y x)) -1)
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) -1)
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (.f64 1/64 (pow.f64 x 4))) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3072 (pow.f64 x 6)) (+.f64 (.f64 1/46080 (pow.f64 x 6)) (.f64 1/8 (.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (.f64 1/64 (pow.f64 x 4))) (pow.f64 x 2))))) (pow.f64 y 6))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 x 4)) (*.f64 1/64 (pow.f64 x 4))) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1/3072 (pow.f64 x 6) (fma.f64 1/46080 (pow.f64 x 6) (.f64 (.f64 1/8 (.f64 (pow.f64 x 4) 5/384)) (.f64 x x)))) (pow.f64 y 6)) (/.f64 (.f64 (pow.f64 x 4) 5/384) (pow.f64 y 4))))) -1)
(fma.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) 5/384)) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 x 4) 5/384) (.f64 (.f64 x x) 1/8)) (.f64 (pow.f64 x 6) -7/23040)) (pow.f64 y 6))) -1))
(fma.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 x 6) -7/23040 (.f64 (pow.f64 x 6) 5/3072)) (pow.f64 y 6)) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(-.f64 (fma.f64 -1/8 (/.f64 x (.f64 y (/.f64 y x))) (fma.f64 -5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)) (/.f64 (fma.f64 (pow.f64 x 6) -7/23040 (.f64 (pow.f64 x 6) 5/3072)) (pow.f64 y 6)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 -1 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))) 1)
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 1 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (pow.f64 (/.f64 -1 (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 x (/.f64 1/2 y))))
(.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) -1)
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (neg.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 -1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 -1 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))
(/.f64 -1 (.f64 (sqrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(.f64 (/.f64 1 (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 x (/.f64 1/2 y))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2)))))
(.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(.f64 (.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))))) (.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y))))))) (.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2)))))
(.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(pow.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (pow.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(neg.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(sqrt.f64 (/.f64 1 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(log.f64 (exp.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (pow.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (log1p.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (log.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
✓	0.3b	(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
✓	0.3b	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
	27.9b	(cos.f64 (*.f64 1/2 (/.f64 x y)))

Compiler

Compiled 48 to 29 computations (39.6% saved)

series15.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`associate-/r*`
1060×	`*-commutative`
1056×	`associate-*r/`
686×	`associate-*l/`
652×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	293	61
2	3274	61

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

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simplify205.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1494×	`associate-+r+`
1132×	`distribute-rgt-in`
1120×	`distribute-lft-in`
1024×	`associate-+l+`
796×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	9396
1	989	9022
2	4169	8978

Stop Event

1×	node limit

Counts

222 → 250

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))))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (+.f64 (.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/384 (pow.f64 x 4)) (.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (+.f64 (.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 1/576 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/384 (pow.f64 x 4)) (.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 (.f64 1/288 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1/24 (/.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 (.f64 1/3 (/.f64 (-.f64 (.f64 -1/46080 (pow.f64 x 6)) (+.f64 (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 x 4)) (.f64 1/192 (pow.f64 x 4))) (pow.f64 x 2))) (.f64 -1/13824 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/384 (pow.f64 x 4)) (.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (+.f64 (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 x 4)) (.f64 1/192 (pow.f64 x 4)))) (.f64 1/576 (pow.f64 x 4))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (.f64 1/288 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/384 (pow.f64 x 4)) (.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 (.f64 1/576 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -1/18 (/.f64 (.f64 (-.f64 (.f64 1/384 (pow.f64 x 4)) (.f64 1/192 (pow.f64 x 4))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2/3 (/.f64 (-.f64 (.f64 -1/46080 (pow.f64 x 6)) (+.f64 (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 x 4)) (.f64 1/192 (pow.f64 x 4))) (pow.f64 x 2))) (.f64 -1/13824 (pow.f64 x 6)))) (pow.f64 y 6)))))))))))))
1
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(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.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 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1/6) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1/6)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))
(/.f64 (neg.f64 (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 (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 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 3/4) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3/4)))
(/.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1/6) 3) (/.f64 1 (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1/6) 3)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) 2) 3) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) 1/3) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (pow.f64 1 1/3) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1/3) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)))
(/.f64 (pow.f64 1 3/2) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1/6) 3/2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/6) 3/2)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) 2) 3/2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3/2)))
(/.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 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1/6) -3)) (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1/6) -3))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) 2) -3)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) -3))
(/.f64 (/.f64 1 (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 (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 (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 (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 (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 (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 (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 (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 (/.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)))))))
(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))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(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 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1)
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 1 1/3))
(.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1/6) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.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 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1/6) -3) (pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/6) -3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) 2) -3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) -3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) -3) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2) -3))
(.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 (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 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -3)
(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 (*.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 (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 y 6) (pow.f64 x 6)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 1 (+.f64 (.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(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 2/3 (/.f64 (-.f64 (.f64 1/384 (pow.f64 x 4)) (.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (+.f64 (.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 1/576 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/384 (pow.f64 x 4)) (.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 (.f64 1/288 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
(fma.f64 2/3 (/.f64 (.f64 (pow.f64 x 4) -1/384) (pow.f64 y 4)) (+.f64 1 (fma.f64 -1/12 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 1/576 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 x 4) -1/384) (pow.f64 y 4)) (fma.f64 1/288 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) (*.f64 y y)) -1/24)))))))
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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)))
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(.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 (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))))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -3)
(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))))

localize66.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.9b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	7.5b	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
	28.0b	(sin.f64 (/.f64 x (*.f64 y 2)))
	28.1b	(tan.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 67 to 47 computations (29.9% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
1.0ms	y	@	-inf	(/.f64 (pow.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 (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 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
0.0ms	y	@	0	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))

rewrite81.0ms (0.6%)

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	39
1	368	39
2	4580	39

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-*r/`
1078×	`associate-+l+`
956×	`associate-*l/`
916×	`associate--r+`
804×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	289	4720
1	839	4566
2	3536	4566

Stop Event

1×	node limit

Counts

72 → 97

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 (+.f64 1 (.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 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.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)))) (.f64 (pow.f64 y 4) x))) (.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 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) x)) (.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
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Outputs
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))))
(/.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 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))))

localize84.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.5b	(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
	28.0b	(sin.f64 (*.f64 x (/.f64 1/2 y)))
	28.1b	(tan.f64 (*.f64 x (/.f64 1/2 y)))
✓	28.3b	(tan.f64 (*.f64 1/2 (/.f64 x y)))

Compiler

Compiled 112 to 74 computations (33.9% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`add-sqr-sqrt`
1882×	`*-un-lft-identity`
1748×	`add-cube-cbrt`
1728×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	187	17
2	2315	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1220×	`times-frac`
1140×	`associate-/l*`
588×	`*-commutative`
560×	`associate-+l+`
506×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	2180
1	447	2128
2	1911	2074

Stop Event

1×	node limit

Counts

46 → 50

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))))))
(-.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 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)))
(+.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))))
(+.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 1/645120 (pow.f64 x 7)) (+.f64 (.f64 -1/8 (.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 x 2))) (+.f64 (.f64 1/92160 (pow.f64 x 7)) (.f64 1/384 (.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 (.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)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) 1)
(.f64 1 (tan.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (sqrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (sin.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 (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x 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)))
(fma.f64 1/2 (/.f64 x y) (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.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)))
(fma.f64 1/2 (/.f64 x y) (*.f64 1/24 (/.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))))))
(-.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 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/768)))))
(+.f64 (fma.f64 1/2 (/.f64 x y) (.f64 (/.f64 1/3840 (pow.f64 y 5)) (pow.f64 x 5))) (-.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 -1/8 (.f64 (.f64 x x) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 5) 1/24))) (*.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 (/.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 -1/8 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 5) 1/3840) (fma.f64 (pow.f64 x 5) 1/768 (.f64 -1/8 (.f64 x (.f64 x (.f64 1/24 (pow.f64 x 3))))))) (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 1/384 (/.f64 (.f64 1/24 (pow.f64 x 3)) (/.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 (/.f64 1/3840 (pow.f64 y 5)) (pow.f64 x 5))))) (-.f64 (.f64 1/8 (.f64 (.f64 x x) (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 5) 1/24)) (/.f64 (+.f64 (.f64 (pow.f64 x 5) -1/960) (.f64 -1/8 (.f64 x (.f64 x (.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 7))))) (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 1/384 (/.f64 (.f64 (pow.f64 x 3) (pow.f64 x 4)) (/.f64 (pow.f64 y 7) 1/24)) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160))))))
(*.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 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.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))))
(fma.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (.f64 -1/8 (.f64 (.f64 x x) (.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))))
(-.f64 (-.f64 (.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/960) (.f64 1/8 (.f64 (pow.f64 x 3) (.f64 -1/24 (.f64 x x))))) (pow.f64 y 5)))
(-.f64 (fma.f64 1/2 (/.f64 x y) (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/960) (.f64 x (.f64 x (.f64 (.f64 (pow.f64 x 3) -1/24) 1/8)))) (pow.f64 y 5)))
(+.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 1/645120 (pow.f64 x 7)) (+.f64 (.f64 -1/8 (.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 x 2))) (+.f64 (.f64 1/92160 (pow.f64 x 7)) (.f64 1/384 (.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 (.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 (.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (.f64 -1/8 (.f64 (.f64 x x) (.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (.f64 -1/8 (.f64 (.f64 x x) (.f64 (pow.f64 x 3) -1/24)))))) (fma.f64 1/92160 (pow.f64 x 7) (.f64 1/384 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) -1/24)))))) (pow.f64 y 7)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (.f64 1/2 (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (/.f64 (-.f64 (.f64 (pow.f64 x 7) 1/645120) (fma.f64 (.f64 -1/8 (+.f64 (.f64 (pow.f64 x 5) 1/960) (.f64 1/8 (.f64 (pow.f64 x 3) (.f64 -1/24 (.f64 x x)))))) (.f64 x x) (fma.f64 1/384 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 3)) -1/24) (.f64 (pow.f64 x 7) 1/92160)))) (pow.f64 y 7))) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/960) (.f64 1/8 (.f64 (pow.f64 x 3) (.f64 -1/24 (*.f64 x x))))) (pow.f64 y 5)))
(-.f64 (fma.f64 1/2 (/.f64 x y) (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/960) (.f64 x (.f64 x (.f64 (.f64 (pow.f64 x 3) -1/24) 1/8)))) (pow.f64 y 5)) (/.f64 (-.f64 (.f64 (pow.f64 x 7) 1/645120) (fma.f64 (.f64 -1/8 (+.f64 (.f64 (pow.f64 x 5) 1/960) (.f64 x (.f64 x (.f64 (.f64 (pow.f64 x 3) -1/24) 1/8))))) (.f64 x x) (fma.f64 (pow.f64 x 7) 1/92160 (.f64 1/384 (.f64 -1/24 (*.f64 (pow.f64 x 3) (pow.f64 x 4))))))) (pow.f64 y 7))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) 1)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 1 (tan.f64 (.f64 1/2 (/.f64 x y))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (sqrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (/.f64 1 (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 (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (sin.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 (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (neg.f64 (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))))
(pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 1)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (log.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 1))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))

eval1.3s (8.7%)

Compiler: Compiled 44255 to 31124 computations (29.7% saved)

prune881.0ms (6%)

Pruning

123 alts after pruning (117 fresh and 6 done)

	Pruned	Kept	Total
New	1462	70	1532
Fresh	39	47	86
Picked	0	1	1
Done	2	5	7
Total	1503	123	1626

Error

22.8b

Counts

1626 → 123

Alt Table

Click to see full alt table

Status	Error	Program
	29.1b	(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/6) -6)
	27.9b	(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
	60.8b	(pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
	62.6b	(pow.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2)
	35.1b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
	27.9b	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -3)
	36.3b	(/.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))))
	36.3b	(/.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	50.0b	(/.f64 (pow.f64 (/.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	36.1b	(/.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	35.8b	(/.f64 (pow.f64 (/.f64 1 (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
	50.8b	(/.f64 (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	36.1b	(/.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
	47.8b	(/.f64 (pow.f64 (fabs.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	36.4b	(/.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))))
	53.4b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) 3/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) 3/2)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	35.7b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	36.0b	(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	61.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) 1)) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	61.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (.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))))))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	61.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	61.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	36.3b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 1) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	35.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	53.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	34.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	60.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	35.1b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	61.0b	(/.f64 (neg.f64 (cbrt.f64 (/.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))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))) 2)))
	29.1b	(/.f64 1 (pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3) 3))
	27.9b	(/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) 3))
	27.9b	(/.f64 1 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1) 3))
	27.9b	(/.f64 1 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 3))
	27.9b	(/.f64 1 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 3))
	27.9b	(/.f64 1 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 3))
	27.9b	(/.f64 1 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 3))
	27.9b	(/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) 3))
	28.0b	(/.f64 1 (pow.f64 (cbrt.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)))) (/.f64 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))))))) 3))
	27.9b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 3))
	28.1b	(/.f64 1 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (.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)))))))) 3))
	28.0b	(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
	27.9b	(/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) 3))
	28.0b	(/.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))))
	27.7b	(/.f64 1 (sqrt.f64 (fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2))) (cbrt.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2)) 1/2)))
	27.7b	(/.f64 1 (sqrt.f64 (-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2)))) 1)))
	27.7b	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) 3)))))
	28.1b	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (fabs.f64 (cos.f64 (/.f64 x y)))))))
✓	27.7b	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
	27.7b	(/.f64 1 (sqrt.f64 (.f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/8)) (-.f64 1/16 (.f64 (.f64 1/4 (-.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) (cos.f64 (/.f64 x y)))) (.f64 1/4 (-.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) (cos.f64 (/.f64 x y))))))) (-.f64 1/4 (.f64 1/4 (-.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) (cos.f64 (/.f64 x y))))))))
▶	27.7b	(/.f64 1 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3))))
	36.4b	(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))
	42.9b	(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
▶	28.0b	(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
	28.2b	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))
	28.0b	(/.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)))))
▶	45.3b	(/.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)))))
	43.7b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))
▶	28.1b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))))
	28.4b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))
	28.1b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
	28.0b	(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))))
	28.1b	(/.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))))))
	45.5b	(/.f64 1 (cos.f64 (/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))
	28.4b	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))
	28.9b	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 y x)))))
	27.8b	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
	28.1b	(/.f64 1 (cos.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))))
	28.0b	(/.f64 1 (cos.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))))
	45.0b	(/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 (.f64 (sqrt.f64 y) (sqrt.f64 y))))))
	28.0b	(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
✓	27.9b	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
	30.1b	(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
	29.4b	(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
	62.3b	(/.f64 -1 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))
	60.9b	(/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
	60.9b	(/.f64 -1 (/.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)))))))))
	60.9b	(/.f64 -1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	60.9b	(/.f64 -1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	60.9b	(/.f64 -1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	63.2b	(/.f64 -1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))
	62.7b	(/.f64 -1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
	61.0b	(/.f64 -1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
	60.9b	(/.f64 -1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))
	62.2b	(/.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)))))
	62.3b	(/.f64 -1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))))
	62.6b	(/.f64 -1 (cos.f64 (/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))))
	61.3b	(/.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)))))
	60.9b	(/.f64 -1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))))
	61.1b	(/.f64 -1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))))
	60.8b	(/.f64 -1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
	62.3b	(/.f64 -1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))))
	60.8b	(/.f64 -1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))
	61.0b	(/.f64 -1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
	61.3b	(/.f64 -1 (cos.f64 (.f64 (/.f64 (.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) (cbrt.f64 x))))
▶	60.8b	(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
✓	60.9b	(/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
	62.5b	(/.f64 -1 (cos.f64 (exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))))
✓	34.0b	(+.f64 1 (.f64 1/8 (/.f64 (.f64 x x) (*.f64 y y))))
	60.8b	(.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2) (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
	62.6b	(.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
	48.1b	(.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))
	48.1b	(.f64 (/.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))
	35.3b	(.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)))) 3)) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))))
	60.1b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 1)) (cbrt.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))
	35.8b	(.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 1/2 (/.f64 x y)))))
	48.1b	(.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 (fabs.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
✓	48.1b	(.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 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))
	48.0b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))
	55.9b	(.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))) 3))) (cbrt.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))
	48.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))
	60.9b	(.f64 (/.f64 (/.f64 -1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
	60.9b	(.f64 (/.f64 (/.f64 -1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	60.9b	(.f64 (/.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	35.9b	(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
	62.6b	(.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y))))))) (.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
	27.7b	(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
	27.7b	(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
	60.9b	(log1p.f64 (expm1.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
	29.1b	(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	62.1b	(expm1.f64 (log1p.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
	27.4b	1
	60.0b	-1

Compiler

Compiled 4890 to 3814 computations (22% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3))
✓	0.3b	(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3)
✓	0.4b	(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
	28.4b	(cos.f64 (/.f64 x y))

Compiler

Compiled 64 to 37 computations (42.2% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3)
1.0ms	x	@	0	(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3)
1.0ms	x	@	-inf	(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3)
1.0ms	x	@	inf	(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3)
1.0ms	y	@	0	(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3)

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`*-commutative`
714×	`unswap-sqr`
614×	`swap-sqr`
612×	`associate-/r*`
554×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	269	63
2	2982	63

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3))

Outputs

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simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1854×	`distribute-lft-in`
1478×	`associate-+r+`
1028×	`associate-/r*`
976×	`associate-+l+`
816×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	8694
1	775	7440
2	3083	7352

Stop Event

1×	node limit

Counts

206 → 153

Calls

Call 1

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

Outputs
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 -1/4 (*.f64 (/.f64 x y) (/.f64 x y)) 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 1/48 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/4 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.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))) (+.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 1/48 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/48 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 -1/1440 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/48 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (.f64 -1/1440 (pow.f64 x 6)) (pow.f64 y 6))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
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(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 2)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2) (.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)))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 2)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) 2) (.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)))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) 1/4) (-.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 1/2))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4 -1/4) (fma.f64 (cos.f64 (/.f64 x y)) 1/2 -1/2))
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2) -1/4) (fma.f64 1/2 (cos.f64 (/.f64 x y)) -1/2))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) (-.f64 1/4 (.f64 1/2 (.f64 (cos.f64 (/.f64 x y)) 1/2)))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/8)) (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4 (+.f64 1/4 (.f64 -1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/8 1/8) (+.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) (*.f64 -1/4 (cos.f64 (/.f64 x y)))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) 1/4)) (-.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 1/2))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4 -1/4) (fma.f64 (cos.f64 (/.f64 x y)) 1/2 -1/2))
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2) -1/4) (fma.f64 1/2 (cos.f64 (/.f64 x y)) -1/2))
(/.f64 (.f64 1 (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3))) (+.f64 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) (-.f64 1/4 (.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) 1/2)))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/8)) (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4 (+.f64 1/4 (.f64 -1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/8 1/8) (+.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) (*.f64 -1/4 (cos.f64 (/.f64 x y)))))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (-.f64 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) 1/4)) (-.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 1/2))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4 -1/4) (fma.f64 (cos.f64 (/.f64 x y)) 1/2 -1/2))
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2) -1/4) (fma.f64 1/2 (cos.f64 (/.f64 x y)) -1/2))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3))) (+.f64 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) (-.f64 1/4 (.f64 1/2 (.f64 (cos.f64 (/.f64 x y)) 1/2)))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/8)) (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4 (+.f64 1/4 (.f64 -1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/8 1/8) (+.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) (*.f64 -1/4 (cos.f64 (/.f64 x y)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) 1/4) 1) (-.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 1/2))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4 -1/4) (fma.f64 (cos.f64 (/.f64 x y)) 1/2 -1/2))
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2) -1/4) (fma.f64 1/2 (cos.f64 (/.f64 x y)) -1/2))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (.f64 (cos.f64 (/.f64 x y)) 1/2) 3)) 1) (+.f64 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) (-.f64 1/4 (.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) 1/2)))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/8)) (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4 (+.f64 1/4 (.f64 -1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/8 1/8) (+.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2) 1/4) (*.f64 -1/4 (cos.f64 (/.f64 x y)))))
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1)
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3) 1/3)
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 2)
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 3)
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 2))
(fabs.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(exp.f64 (log.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)
(fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)
(fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
✓	0.2b	(*.f64 x (/.f64 1/2 y))
	28.0b	(cos.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`associate-*r/`
948×	`*-commutative`
650×	`associate-*l/`
634×	`unswap-sqr`
618×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	229	36
2	2687	36

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

892×	`associate-/l*`
864×	`unswap-sqr`
452×	`log-prod`
442×	`associate-/l/`
410×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	4068
1	920	3902
2	3863	3884

Stop Event

1×	node limit

Counts

176 → 197

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
✓	15.1b	(cbrt.f64 (*.f64 1/2 (/.f64 x y)))
✓	27.9b	(cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))

Compiler

Compiled 49 to 30 computations (38.8% saved)

series18.0ms (0.1%)

Counts

4 → 18

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))
2.0ms	y	@	-inf	(cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))
2.0ms	x	@	-inf	(cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))
1.0ms	x	@	inf	(cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))
1.0ms	x	@	0	(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`*-commutative`
1088×	`associate-*r/`
948×	`associate-/r*`
712×	`associate-*l/`
592×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	291	70
2	3236	70

Stop Event

1×	node limit

Counts

4 → 269

Calls

Call 1

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

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

simplify156.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1092×	`distribute-rgt-in`
1074×	`distribute-lft-in`
924×	`associate-/l*`
538×	`associate-/l/`
498×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	574	7425
1	1263	7355
2	4898	7355

Stop Event

1×	node limit

Counts

287 → 352

Calls

Call 1

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))
✓	0.5b	(pow.f64 (cbrt.f64 y) 2)
✓	0.6b	(cbrt.f64 y)
✓	27.9b	(cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x)))

Compiler

Compiled 74 to 44 computations (40.5% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

18 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`associate-/r/`
1202×	`associate-/l/`
450×	`distribute-lft-neg-in`
400×	`distribute-rgt-neg-in`
292×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	86
1	324	46
2	3917	46

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

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

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1494×	`distribute-lft-neg-in`
1144×	`times-frac`
996×	`associate-/r*`
976×	`associate-r`
736×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	448	4867
1	1159	4821
2	6687	4821

Stop Event

1×	node limit

Counts

239 → 242

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x))
	0.5b	(pow.f64 (cbrt.f64 y) 2)
	0.6b	(cbrt.f64 y)
✓	15.4b	(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))))

Compiler

Compiled 96 to 49 computations (49% saved)

series7.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`associate-/r/`
1266×	`associate-/l/`
334×	`add-sqr-sqrt`
322×	`*-un-lft-identity`
320×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	339	60
2	4556	40

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(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 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x))

Outputs

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

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

simplify118.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1672×	`associate-/r*`
1052×	`*-commutative`
838×	`unswap-sqr`
818×	`associate-/l/`
530×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	3207
1	601	3183
2	2420	3021

Stop Event

1×	node limit

Counts

105 → 120

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

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

eval481.0ms (3.3%)

Compiler: Compiled 25955 to 16745 computations (35.5% saved)

prune797.0ms (5.4%)

Pruning

149 alts after pruning (141 fresh and 8 done)

	Pruned	Kept	Total
New	1222	66	1288
Fresh	37	75	112
Picked	1	0	1
Done	2	8	10
Total	1262	149	1411

Error

22.6b

Counts

1411 → 149

Alt Table

Click to see full alt table

Status	Error	Program
	29.1b	(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/6) -6)
	27.9b	(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
	60.8b	(pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
	62.6b	(pow.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (/.f64 (/.f64 x y) 2)))) 2)
	35.1b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
	27.9b	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -3)
	36.3b	(/.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))))
	36.3b	(/.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	50.0b	(/.f64 (pow.f64 (/.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	36.1b	(/.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	35.8b	(/.f64 (pow.f64 (/.f64 1 (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
	50.8b	(/.f64 (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	36.1b	(/.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
	47.8b	(/.f64 (pow.f64 (fabs.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	36.4b	(/.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))))
	53.4b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) 3/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) 3/2)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	35.7b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	36.0b	(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	61.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))))) 1)) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	61.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	61.0b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	36.3b	(/.f64 (/.f64 -1 (/.f64 (neg.f64 1) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	35.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	53.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	34.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	60.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	35.1b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	61.0b	(/.f64 (neg.f64 (cbrt.f64 (/.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))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y))))) 2)))
	29.1b	(/.f64 1 (pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3) 3))
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	60.9b	(log1p.f64 (expm1.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
	29.1b	(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	62.1b	(expm1.f64 (log1p.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
	60.9b	(cbrt.f64 (pow.f64 (/.f64 -1 (cos.f64 (/.f64 (/.f64 x y) 2))) 3))
	27.4b	1
	60.0b	-1

Compiler

Compiled 2878 to 2261 computations (21.4% saved)

regimes1.2s (8%)

Accuracy

Total -36.6b remaining (-133.2%)

Threshold costs -36.6b (-133.2%)

Counts

260 → 1

Calls

Call 1

Inputs
-1
1
(+.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 1/2 (/.f64 y x))))
(/.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 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
(/.f64 1 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1))
(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
(sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(/.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 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 1 (/.f64 1 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
(/.f64 (/.f64 -1 (/.f64 (neg.f64 1) (sin.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -3)
(expm1.f64 (log1p.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(log1p.f64 (expm1.f64 (/.f64 -1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 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 y) 2)))))
(/.f64 -1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 -1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 -1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 -1 (log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 -1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 -1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/6) -6)
(cbrt.f64 (pow.f64 (/.f64 -1 (cos.f64 (/.f64 (/.f64 x y) 2))) 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 y) 2)) 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 y) 2)) 2)))
(/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
(/.f64 -1 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 1/2) 3) (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 1/2) 3) x) y)))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x 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 x (/.f64 1/2 y)))) 3))
(pow.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (/.f64 (/.f64 x y) 2)))) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
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(/.f64 -1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))))
(/.f64 -1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))
(/.f64 -1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3) 1/3)))
(/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 (.f64 (sqrt.f64 y) (sqrt.f64 y))))))
(/.f64 1 (cos.f64 (.f64 (/.f64 1/2 y) (.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 y))))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))
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(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (fabs.f64 (cos.f64 (/.f64 x y)))))))
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(/.f64 -1 (cos.f64 (/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))))
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(/.f64 1 (cos.f64 (.f64 (cbrt.f64 x) (.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))
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(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))
(/.f64 1 (cos.f64 (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 3)))
(/.f64 1 (cos.f64 (pow.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/2)) (cbrt.f64 y)) 3)))
(/.f64 1 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 3))))
(/.f64 1 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 3))
(/.f64 1 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 3))
(/.f64 1 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 3))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 3) 3)))
(/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) 3))
(/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) 3))
(/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) 3))
(/.f64 1 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1) 3))
(/.f64 1 (cos.f64 (/.f64 (.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 x)) (cbrt.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 3)) (sin.f64 (/.f64 x (.f64 y 2))))
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(/.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))))
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(/.f64 1 (cos.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(/.f64 1 (cos.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (exp.f64 (*.f64 (log.f64 y) 1/3)) x))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (pow.f64 (pow.f64 y 1/6) 2) x))))
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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)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))))))
(/.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
(/.f64 -1 (/.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 1 (/.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 (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
(.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (sin.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 1 (sqrt.f64 (.f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/8)) (-.f64 1/16 (.f64 (.f64 1/4 (-.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) (cos.f64 (/.f64 x y)))) (.f64 1/4 (-.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) (cos.f64 (/.f64 x y))))))) (-.f64 1/4 (.f64 1/4 (-.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2) (cos.f64 (/.f64 x y))))))))
(/.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
(.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) 2) (sin.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (.f64 x (/.f64 1/2 y))))))) (.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(.f64 (/.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.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 1 (pow.f64 (cbrt.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)))) (/.f64 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))))))) 3))
(/.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 (.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)))) (sin.f64 (/.f64 x (*.f64 y 2))))

Outputs
1

Calls

5 calls:

257.0ms	y
204.0ms	x
153.0ms	(*.f64 y 2)
114.0ms	(/.f64 x (*.f64 y 2))
76.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Results

Error	Segments	Branch
27.4b	1	`x`
27.4b	1	`y`
27.4b	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))`
27.4b	1	`(/.f64 x (*.f64 y 2))`
27.4b	1	`(*.f64 y 2)`

Compiler

Compiled 4974 to 3518 computations (29.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
1	6	2

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
1
-1

Outputs
1
-1

Compiler

Compiled 6 to 6 computations (0% saved)

soundness112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1514×	`times-frac`
1070×	`associate-r`
782×	`associate-/l*`
660×	`associate-/r*`
596×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	402	6632
1	1068	6484
2	7311	6484

Stop Event

1×	node limit

Compiler

Compiled 132 to 97 computations (26.5% saved)

end14.0ms (0.1%)

Compiler: Compiled 4 to 4 computations (0% saved)