Details

analyze503.0ms (3.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.3%	6.2%	93.7%	0.1%	0%	0%	0%	7
15.6%	15.6%	84.3%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
30.5%	30.4%	69.5%	0.1%	0%	0%	0%	10
38.3%	38.2%	61.7%	0.1%	0%	0%	0%	11
39.6%	39.6%	60.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample3.6s (23.5%)

Results

1.2s	1165×	body	2048	valid
1.1s	4879×	body	256	valid
736.0ms	1368×	body	1024	valid
551.0ms	839×	body	512	valid
7.0ms	5×	body	4096	valid

Bogosity

preprocess31.0ms (0.2%)

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)

simplify11.0ms (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

36.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	8.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	27.9b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	28.2b	(tan.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 38 to 25 computations (34.2% saved)

series13.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
2.0ms	y	@	-inf	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
1.0ms	y	@	-inf	(tan.f64 (/.f64 x (*.f64 y 2)))
1.0ms	y	@	inf	(tan.f64 (/.f64 x (*.f64 y 2)))
1.0ms	x	@	0	(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite82.0ms (0.5%)

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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simplify123.0ms (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))))

eval148.0ms (1%)

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

prune215.0ms (1.4%)

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	168	40	208
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	168	41	209

Error

24.9b

Counts

209 → 41

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.8b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	38.7b	(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
	36.8b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
	37.4b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	37.4b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (.f64 y 2))))
	37.6b	(/.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))))
	37.0b	(/.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))))
	37.6b	(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
	37.5b	(/.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))))
	39.4b	(/.f64 (/.f64 1 (/.f64 (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	38.9b	(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	37.8b	(/.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))))
	55.0b	(/.f64 (.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	37.9b	(/.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))))
	39.8b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	37.5b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	49.0b	(/.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)))))
	37.5b	(/.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))))))
	37.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	55.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	36.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	59.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	52.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
	37.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	37.0b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (.f64 y 2))))
	36.8b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
▶	55.8b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	37.0b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	59.1b	(/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	52.7b	(/.f64 (fabs.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (.f64 y 2))))
▶	28.2b	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
▶	36.5b	(+.f64 1 (.f64 1/8 (/.f64 (.f64 x x) (*.f64 y y))))
	36.8b	(.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))))))
	53.5b	(.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))))))
	37.4b	(.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)))))
▶	37.3b	(.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))))))
	53.3b	(.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))))))
	38.9b	(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
	36.8b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))))
	36.8b	(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	27.7b	1

Compiler

Compiled 1878 to 1426 computations (24.1% saved)

localize12.0ms (0.1%)

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))

rewrite80.0ms (0.5%)

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

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

216 → 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
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 -1/46080 (pow.f64 x 6)) (.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 -1/46080 (pow.f64 x 6)) (.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 x 4)) (.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) 1)
(.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(.f64 -1 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(.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))))))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2)) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) -1)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (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)))))
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(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1))
(.f64 (.f64 (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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(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(-.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)))))
(+.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))))
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(/.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))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.5b	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.3%)

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)))))))

simplify52.0ms (0.3%)

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)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 1/2 y))
✓	8.7b	(/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 x (/.f64 1/2 y))))
✓	27.8b	(sin.f64 (*.f64 x (/.f64 1/2 y)))
✓	28.3b	(tan.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 54 to 37 computations (31.5% saved)

series7.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`associate-*r/`
1100×	`associate-/r*`
1078×	`*-commutative`
922×	`associate-*l/`
796×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	86
1	232	86
2	2941	86

Stop Event

1×	node limit

Counts

4 → 238

Calls

Call 1

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

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

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1044×	`associate-/r*`
866×	`associate-r`
754×	`associate-l`
668×	`*-commutative`
632×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	750	12818
1	2059	12580

Stop Event

1×	node limit

Counts

334 → 369

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 1/2 (/.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
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(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)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.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 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.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))))))
(/.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 -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 1/24 (pow.f64 x 3)) (/.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 (+.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 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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))) (fma.f64 -1/8 (/.f64 (.f64 1/24 (pow.f64 x 3)) (/.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 (pow.f64 x 3) (.f64 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 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 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 (.f64 (pow.f64 x 3) -1/24) (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 (.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3))) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/960) (.f64 1/8 (.f64 (pow.f64 x 3) (.f64 x (*.f64 x -1/24))))) (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 (.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3))) (/.f64 (-.f64 (.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (.f64 x (.f64 x (+.f64 (.f64 (pow.f64 x 5) 1/960) (.f64 1/8 (.f64 (pow.f64 x 3) (.f64 x (.f64 x -1/24))))))) (fma.f64 1/92160 (pow.f64 x 7) (.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 7))) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/960) (.f64 1/8 (.f64 (pow.f64 x 3) (.f64 x (.f64 x -1/24))))) (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))))
(fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))))
(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 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))))
(*.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 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))))
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)
(+.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))))
(+.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)))))
(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 (.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 2 (/.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))
(-.f64 (+.f64 1 (.f64 (/.f64 (.f64 x x) (.f64 y y)) -1/24)) (/.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/24)) (.f64 x (*.f64 y y))))
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(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))
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(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 1/2 (/.f64 x y))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.1b	(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))
✓	8.7b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	27.9b	(sin.f64 (/.f64 x (*.f64 y 2)))
	28.3b	(tan.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 67 to 47 computations (29.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`associate-/l*`
414×	`distribute-lft-neg-in`
370×	`associate-/r/`
332×	`associate-/l/`
328×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	344	56
2	4261	56

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

Outputs

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simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1402×	`associate--r+`
1218×	`+-commutative`
1140×	`associate-+r+`
634×	`associate-r`
600×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	7899
1	1248	7671
2	6071	7649

Stop Event

1×	node limit

Counts

143 → 176

Calls

Call 1

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

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.1b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))
✓	9.9b	(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
	27.8b	(sin.f64 (*.f64 x (/.f64 1/2 y)))
	28.3b	(tan.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 94 to 69 computations (26.6% saved)

series21.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
3.0ms	x	@	0	(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
2.0ms	x	@	-inf	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))
2.0ms	y	@	0	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))
2.0ms	x	@	inf	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`associate-*r/`
1288×	`associate-*l/`
1178×	`associate-/r*`
840×	`associate-/l*`
254×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	249	64
2	3146	64

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify183.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate-/r*`
1186×	`associate-*r/`
986×	`associate-/l*`
760×	`associate-*l/`
712×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	143	3059
1	315	2987
2	1363	2987
3	6655	2987

Stop Event

1×	node limit

Counts

81 → 72

Calls

Call 1

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

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

eval1.2s (7.9%)

Compiler: Compiled 43692 to 31800 computations (27.2% saved)

prune785.0ms (5.2%)

Pruning

132 alts after pruning (130 fresh and 2 done)

	Pruned	Kept	Total
New	1341	111	1452
Fresh	16	19	35
Picked	1	0	1
Done	3	2	5
Total	1361	132	1493

Error

23.8b

Counts

1493 → 132

Alt Table

Click to see full alt table

Status	Error	Program
	37.3b	(pow.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/2 y))) 3)) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	37.4b	(pow.f64 (/.f64 (sin.f64 (/.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)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.2b	(pow.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (cbrt.f64 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.4b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 (.f64 y 2)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.5b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	52.6b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	51.7b	(pow.f64 (/.f64 (sin.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) (/.f64 y (sqrt.f64 (.f64 x 1/2))))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.3b	(pow.f64 (/.f64 (sin.f64 (/.f64 (cbrt.f64 (.f64 1/2 x)) (/.f64 (/.f64 y (cbrt.f64 (.f64 1/2 x))) (cbrt.f64 (.f64 1/2 x))))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	38.0b	(pow.f64 (/.f64 (sin.f64 (/.f64 (cbrt.f64 x) (/.f64 (.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	39.0b	(pow.f64 (/.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.4b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3)) -1)
	37.5b	(pow.f64 (/.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))))) -1)
	37.3b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (/.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)))) -1)
	39.8b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (.f64 1/2 (/.f64 x y))) -1)
	59.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 3) 1/3))) -1)
▶	54.2b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2))) -1)
	37.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/2 y))) 3))) -1)
	37.6b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.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))))) -1)
	52.5b	(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y))))) -1)
	37.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (/.f64 x (.f64 (cbrt.f64 (.f64 y 2)) (cbrt.f64 (.f64 y 2)))) (cbrt.f64 (*.f64 y 2))))) -1)
	37.5b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 x 1/2))) (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))) -1)
	37.4b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 1/2))))) -1)
	37.3b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 y 2))))) -1)
	37.5b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) -1)
	37.1b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (.f64 x (/.f64 1/2 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)))) -1)
	37.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (cbrt.f64 x) (/.f64 (.f64 y 2) (pow.f64 (cbrt.f64 x) 2))))) -1)
	52.5b	(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 x (/.f64 (sqrt.f64 y) (/.f64 1/2 (sqrt.f64 y)))))) -1)
	52.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 x (.f64 (cbrt.f64 (sqrt.f64 y)) (/.f64 (*.f64 (cbrt.f64 y) (sqrt.f64 y)) 1/2))))) -1)
	39.0b	(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 1/2 (/.f64 y x)))) -1)
	37.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (*.f64 y 2))))) -1)
	51.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 (/.f64 (sqrt.f64 (.f64 1/2 x)) y) (sqrt.f64 (.f64 1/2 x))))) -1)
	52.5b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y))))) -1)
	52.9b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (fabs.f64 (.f64 1/2 (/.f64 x y))))) -1)
	54.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (exp.f64 (log.f64 (.f64 x (/.f64 1/2 y)))))) -1)
	53.9b	(pow.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	28.2b	(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
	38.7b	(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
	36.8b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
	37.4b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	37.4b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (.f64 y 2))))
	37.6b	(/.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))))
	37.3b	(/.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
	37.0b	(/.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))))
	38.9b	(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	28.1b	(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
	55.0b	(/.f64 (.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	39.5b	(/.f64 (.f64 x (/.f64 1/2 y)) (sin.f64 (/.f64 x (.f64 y 2))))
	37.5b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	37.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	55.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	36.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	52.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
	37.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	37.0b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (.f64 y 2))))
	36.8b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	55.9b	(/.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	55.9b	(/.f64 (sqrt.f64 (pow.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))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	55.8b	(/.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (/.f64 (neg.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
	55.9b	(/.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	55.8b	(/.f64 (sqrt.f64 (pow.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	60.8b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 1))
	55.7b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 2)) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	60.8b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) 2)) (log.f64 (exp.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	60.2b	(/.f64 (sqrt.f64 (pow.f64 (log.f64 (exp.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	59.1b	(/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	30.2b	(/.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1))
	35.8b	(/.f64 1 (fma.f64 -1/8 (/.f64 (.f64 x x) (.f64 y y)) 1))
	28.2b	(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
	28.1b	(/.f64 1 (/.f64 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -2)))))
	30.0b	(/.f64 1 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)))))
	28.2b	(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1))
	28.1b	(/.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))))
	28.5b	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
	28.2b	(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	28.2b	(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	28.2b	(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	38.9b	(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))
	45.6b	(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
	27.9b	(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
	28.1b	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))
	28.2b	(/.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)))))
▶	48.0b	(/.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)))))
	47.9b	(/.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)))))
	47.8b	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))))
	48.1b	(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))))
	27.9b	(/.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)))))
	47.4b	(/.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) x)) (cbrt.f64 y))))
	28.2b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))))
	48.0b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 y))))
	47.4b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 1 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))))
	27.8b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))
	27.9b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
	28.2b	(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) 1/2) (cbrt.f64 y))))
	58.6b	(/.f64 1 (cos.f64 (/.f64 (.f64 (sqrt.f64 (.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 x))) (sqrt.f64 y))))
	28.2b	(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))
▶	27.7b	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 x 1/2)))))))
	48.2b	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))))
	28.8b	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (pow.f64 (/.f64 x y) 2))))))
	28.2b	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
	28.1b	(/.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))))
	28.0b	(/.f64 1 (cos.f64 (.f64 (/.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x))))
▶	47.4b	(/.f64 1 (cos.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2)))))
	55.0b	(/.f64 1 (cos.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y))) (.f64 1/2 (sqrt.f64 (/.f64 x y))))))
	28.0b	(/.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))))
	48.2b	(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (fabs.f64 (cbrt.f64 y))))))
	47.4b	(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 (/.f64 y (sqrt.f64 x))))))
	28.0b	(/.f64 1 (cos.f64 (.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (cbrt.f64 (.f64 x 1/2)))))))
	28.1b	(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
✓	28.2b	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
	45.0b	(/.f64 1 (cos.f64 (exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))))
	29.5b	(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
	28.2b	(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
▶	30.9b	(+.f64 1 (.f64 1/8 (.f64 (/.f64 x y) (/.f64 x y))))
	36.8b	(.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))))))
	37.6b	(.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 3) 2)) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
	53.5b	(.f64 (/.f64 1 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.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))))))
	37.3b	(.f64 (/.f64 1 (pow.f64 (expm1.f64 (log1p.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))))))
	37.5b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) 3))
	37.4b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 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)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	37.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	52.1b	(.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 (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))))
	37.8b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))))
	37.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (.f64 (/.f64 1 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (tan.f64 (*.f64 x (/.f64 1/2 y)))))
	49.0b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) 3) (sin.f64 (.f64 1/2 (/.f64 x y))))))
	59.6b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (exp.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))))))
	38.9b	(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
	28.5b	(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
	28.2b	(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	30.0b	(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	27.7b	1

Compiler

Compiled 5640 to 4334 computations (23.2% saved)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 x 1/2)))))
✓	0.5b	(.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2)))
✓	0.6b	(cbrt.f64 (*.f64 x 1/2))
✓	27.8b	(cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 x 1/2))))))

Compiler

Compiled 85 to 64 computations (24.7% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

18 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`associate-*l/`
812×	`associate-/r/`
572×	`associate-/l/`
390×	`distribute-lft-neg-in`
346×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	110
1	251	58
2	3400	58

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

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

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1224×	`associate-r`
1002×	`associate-/l*`
952×	`associate-l`
620×	`times-frac`
502×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	412	5493
1	1052	5297
2	6833	5297

Stop Event

1×	node limit

Counts

215 → 216

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 36 to 12 computations (66.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

59 → 36

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (cos.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2)))))
✓	0.1b	(/.f64 (sqrt.f64 (*.f64 x 1/2)) y)
✓	0.2b	(.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2)))
✓	15.4b	(cos.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2))))

Compiler

Compiled 56 to 41 computations (26.8% saved)

series21.0ms (0.1%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2)))
5.0ms	y	@	inf	(/.f64 (sqrt.f64 (*.f64 x 1/2)) y)
1.0ms	x	@	0	(.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2)))
1.0ms	x	@	0	(/.f64 1 (cos.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2)))))
1.0ms	y	@	inf	(/.f64 1 (cos.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2)))))

rewrite220.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`associate-*r/`
1336×	`associate-/r*`
1220×	`associate-/l*`
1052×	`associate-*l/`
258×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	261	70
2	3202	70

Stop Event

1×	node limit

Counts

4 → 301

Calls

Call 1

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

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 1 (neg.f64 (neg.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)))) (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 -1 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1) (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(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 (/.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)))) (pow.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(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 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2)) (/.f64 -1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) 2) 1) (/.f64 1 (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x 1/2)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sqrt.f64 (.f64 x 1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x 1/2) 1/4) (.f64 (pow.f64 (.f64 x 1/2) 1/4) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 1/2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)) (cbrt.f64 (/.f64 x (.f64 y (/.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (.f64 y (/.f64 y 1/2)))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 1/2))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (sqrt.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 x 1/2))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (.f64 x 1/2)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 y) (neg.f64 (sqrt.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 x 1/2) 1/4) 1) (/.f64 (pow.f64 (.f64 x 1/2) 1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 x 1/2) 1/4) y) (pow.f64 (.f64 x 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 x 1/2) 1/4) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (pow.f64 (.f64 x 1/2) 1/4) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 x 1/2))) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 x 1/2))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) y) (cbrt.f64 (sqrt.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 y (sqrt.f64 x))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 (.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 x (.f64 y (/.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)))))))
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simplify192.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

960×	`times-frac`
822×	`associate-/l/`
730×	`associate-r`
692×	`associate-/r*`
672×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	781	13855
1	1832	10937
2	7457	10937

Stop Event

1×	node limit

Counts

385 → 438

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 x 4)) (pow.f64 y 4))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 x 4)) (pow.f64 y 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 12) (pow.f64 x 6)) (pow.f64 y 6))))))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y)))
(cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y)))
(cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y)))
(cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y)))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
1
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 x 4)) (pow.f64 y 4))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 x 4)) (pow.f64 y 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 12) (pow.f64 x 6)) (pow.f64 y 6))))))
1
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 x 4)) (pow.f64 y 4))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 x 4)) (pow.f64 y 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 12) (pow.f64 x 6)) (pow.f64 y 6))))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 1/2) y) (sqrt.f64 x))
1
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 y 4))) (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 y 4)))) (pow.f64 x 4)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (sqrt.f64 1/2) 12) (pow.f64 y 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 y 4))) (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 y 4))))) (pow.f64 y 2))) (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 1/2) 12) (pow.f64 y 6))))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 y 4))) (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 1/2) 8) (pow.f64 y 4)))) (pow.f64 x 4))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)))
(/.f64 1 (cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))))
(/.f64 1 (cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))))
(/.f64 1 (cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))))
(/.f64 1 (cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))))
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(.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))
(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))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))

Outputs
1
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 4) (/.f64 (.f64 y y) (*.f64 x x)))))
(+.f64 1 (/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y)))
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(+.f64 (/.f64 (.f64 -1/8 (.f64 x x)) (.f64 y y)) (+.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/384) (pow.f64 y 4))))
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(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y)))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y)))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y)))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y)))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))
(cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 x 2)) (pow.f64 y 2))))
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(+.f64 1 (/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y)))
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(+.f64 1 (fma.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 1/2) 8) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 4) (/.f64 (.f64 y y) (*.f64 x x))))))
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1
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(+.f64 1 (fma.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 1/2) 8) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 4) (/.f64 (.f64 y y) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 -1/8 (.f64 x x)) (.f64 y y)) (+.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/384) (pow.f64 y 4))))
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(+.f64 1 (fma.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 1/2) 8) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (fma.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 4) (/.f64 (.f64 y y) (.f64 x x))) (*.f64 -1/720 (/.f64 (pow.f64 (sqrt.f64 1/2) 12) (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))))
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(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
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(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
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(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x))
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(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)
(/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))
(/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x))
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(.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))
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(.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))
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(.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) x) y))
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1
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(/.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 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x))))
(/.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 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))) -1))
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (.f64 (neg.f64 (log.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) 1))
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x))))
(/.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 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	11.0b	(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
✓	13.0b	(tan.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))
	27.8b	(sin.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 78 to 57 computations (26.9% saved)

series83.0ms (0.6%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(tan.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))
9.0ms	y	@	0	(/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2)))
9.0ms	x	@	0	(/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2)))
8.0ms	x	@	-inf	(/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2)))
7.0ms	y	@	0	(tan.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`associate-*r/`
1322×	`associate-*l/`
1126×	`associate-/r*`
804×	`associate-/l*`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	297	73
2	3374	73

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

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

Outputs

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y)))))))))

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simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1244×	`unswap-sqr`
452×	`times-frac`
444×	`distribute-lft-in`
442×	`distribute-rgt-in`
424×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	5789
1	753	5771
2	3186	5759

Stop Event

1×	node limit

Counts

151 → 189

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 y) 2)
✓	0.6b	(cbrt.f64 y)
✓	0.9b	(/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x))
✓	14.3b	(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))))

Compiler

Compiled 94 to 48 computations (48.9% saved)

series8.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`associate-/r/`
1394×	`associate-/l/`
320×	`add-sqr-sqrt`
308×	`*-un-lft-identity`
306×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	323	76
2	4398	56

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

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

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1416×	`unswap-sqr`
1030×	`associate-/r/`
1004×	`distribute-lft-in`
1002×	`distribute-rgt-in`
430×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	281	3527
1	634	3461
2	2986	3461

Stop Event

1×	node limit

Counts

149 → 153

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

eval550.0ms (3.6%)

Compiler: Compiled 25944 to 18684 computations (28% saved)

prune732.0ms (4.8%)

Pruning

160 alts after pruning (155 fresh and 5 done)

	Pruned	Kept	Total
New	1132	72	1204
Fresh	42	83	125
Picked	1	0	1
Done	1	5	6
Total	1176	160	1336

Error

23.4b

Counts

1336 → 160

Alt Table

Click to see full alt table

Status	Error	Program
	57.4b	(pow.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2))) -1)
	37.3b	(pow.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/2 y))) 3)) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	37.4b	(pow.f64 (/.f64 (sin.f64 (/.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)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.2b	(pow.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (cbrt.f64 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.4b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 (.f64 y 2)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.5b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
▶	52.6b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	51.7b	(pow.f64 (/.f64 (sin.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) (/.f64 y (sqrt.f64 (.f64 x 1/2))))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.3b	(pow.f64 (/.f64 (sin.f64 (/.f64 (cbrt.f64 (.f64 1/2 x)) (/.f64 (/.f64 y (cbrt.f64 (.f64 1/2 x))) (cbrt.f64 (.f64 1/2 x))))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	38.0b	(pow.f64 (/.f64 (sin.f64 (/.f64 (cbrt.f64 x) (/.f64 (.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	39.0b	(pow.f64 (/.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.4b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3)) -1)
	37.3b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (/.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)))) -1)
	39.8b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (.f64 1/2 (/.f64 x y))) -1)
	57.5b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 3/2) 1/3) 2))) -1)
	54.2b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 1/4) 2) 2))) -1)
✓	54.2b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2))) -1)
	54.9b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (*.f64 x (/.f64 1/2 y))) 1/2)) 2))) -1)
	37.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/2 y))) 3))) -1)
	37.6b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.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))))) -1)
	37.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (/.f64 x (.f64 (cbrt.f64 (.f64 y 2)) (cbrt.f64 (.f64 y 2)))) (cbrt.f64 (*.f64 y 2))))) -1)
	37.4b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 1/2))))) -1)
	37.3b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 y 2))))) -1)
	37.5b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) -1)
	37.1b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (.f64 x (/.f64 1/2 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)))) -1)
	37.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (cbrt.f64 x) (/.f64 (.f64 y 2) (pow.f64 (cbrt.f64 x) 2))))) -1)
	52.5b	(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 x (/.f64 (sqrt.f64 y) (/.f64 1/2 (sqrt.f64 y)))))) -1)
	39.0b	(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 1/2 (/.f64 y x)))) -1)
	51.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 (/.f64 (sqrt.f64 (.f64 1/2 x)) y) (sqrt.f64 (.f64 1/2 x))))) -1)
	52.5b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y))))) -1)
	52.9b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (fabs.f64 (.f64 1/2 (/.f64 x y))))) -1)
	54.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (exp.f64 (log.f64 (.f64 x (/.f64 1/2 y)))))) -1)
	54.2b	(pow.f64 (/.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2))) -1)
	54.3b	(pow.f64 (/.f64 (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2))) -1)
	54.2b	(pow.f64 (/.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2))) -1)
	53.9b	(pow.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	28.2b	(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
	38.7b	(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
	36.8b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 3)
	37.4b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	37.4b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (.f64 y 2))))
	37.6b	(/.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))))
	37.3b	(/.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
	38.9b	(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	28.1b	(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
	55.0b	(/.f64 (.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	39.5b	(/.f64 (.f64 x (/.f64 1/2 y)) (sin.f64 (/.f64 x (.f64 y 2))))
	37.5b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	37.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	55.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	36.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	52.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
	37.0b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (.f64 y 2))))
	36.8b	(/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))
	55.9b	(/.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
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▶	55.8b	(/.f64 (sqrt.f64 (pow.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
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	28.2b	(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1))
▶	35.8b	(/.f64 1 (+.f64 1 (/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y))))
	28.1b	(/.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))))
	28.2b	(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
	28.2b	(/.f64 1 (log.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
	28.5b	(/.f64 1 (fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
	28.2b	(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
	38.9b	(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 3) 1/3)))
	45.6b	(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)) 2)))
	27.9b	(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 3)))
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	28.0b	(/.f64 1 (cos.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 y x))))
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	48.1b	(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))
	31.6b	(/.f64 1 (cos.f64 (/.f64 (/.f64 (.f64 x 1/2) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))))
	49.9b	(/.f64 1 (cos.f64 (/.f64 (/.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))))
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	28.1b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))))
	28.2b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))))
	47.4b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 1 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))))
	27.8b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))
	27.9b	(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
	27.8b	(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y)))
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	27.8b	(/.f64 1 (cos.f64 (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) 1) (cbrt.f64 (*.f64 x 1/2))) y)))
	28.3b	(/.f64 1 (cos.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2))) (.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) -2)))))
	28.2b	(/.f64 1 (cos.f64 (/.f64 (*.f64 x (/.f64 1/2 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))))
	47.5b	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (pow.f64 (.f64 x 1/2) 2/3)))))
	32.5b	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (pow.f64 (.f64 1/4 (*.f64 x x)) 1/3)))))
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	27.7b	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)))))
	34.0b	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/2)))) 1) (cbrt.f64 (.f64 x 1/2)))))))
	33.5b	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 x 1/2)))))))
	47.5b	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (.f64 (exp.f64 (.f64 (log.f64 (.f64 x 1/2)) 1/3)) (cbrt.f64 (*.f64 x 1/2)))))))
	28.1b	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)))))))
	47.5b	(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (.f64 x 1/2)) (/.f64 y (exp.f64 (.f64 (log.f64 (*.f64 x 1/2)) 2/3))))))
	47.5b	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x)))))
	28.8b	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (pow.f64 (/.f64 x y) 2))))))
	28.2b	(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
	53.2b	(/.f64 1 (cos.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) 3) 1/3) (sqrt.f64 (*.f64 x 1/2)))))
▶	27.7b	(/.f64 1 (cos.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (/.f64 (cbrt.f64 (*.f64 x 1/2)) y))))
	47.3b	(/.f64 1 (cos.f64 (.f64 (/.f64 (pow.f64 (.f64 x 1/2) 1/6) (pow.f64 (cbrt.f64 (.f64 y (pow.f64 (cbrt.f64 (.f64 x 1/2)) -2))) 2)) (/.f64 (pow.f64 (.f64 x 1/2) 1/6) (cbrt.f64 (.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) -2)))))))
	28.2b	(/.f64 1 (cos.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))
	28.1b	(/.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))))
▶	28.0b	(/.f64 1 (cos.f64 (.f64 (/.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x))))
✓	47.4b	(/.f64 1 (cos.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2)))))
	55.0b	(/.f64 1 (cos.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y))) (.f64 1/2 (sqrt.f64 (/.f64 x y))))))
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	28.0b	(/.f64 1 (cos.f64 (.f64 (/.f64 (cbrt.f64 x) (.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) -2))) (cbrt.f64 1/2))))
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	32.4b	(/.f64 1 (cos.f64 (.f64 (/.f64 1/2 (/.f64 y (cbrt.f64 x))) (cbrt.f64 (.f64 x x)))))
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	50.3b	(/.f64 1 (cos.f64 (.f64 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y))) (sqrt.f64 (*.f64 x 1/2)))))
	47.8b	(/.f64 1 (cos.f64 (.f64 (cbrt.f64 (.f64 x 1/2)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 4) (sqrt.f64 y))))))
	28.1b	(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
✓	28.2b	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
	45.0b	(/.f64 1 (cos.f64 (exp.f64 (log.f64 (/.f64 (*.f64 x 1/2) y)))))
	28.2b	(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 3)))
✓	30.9b	(+.f64 1 (.f64 1/8 (.f64 (/.f64 x y) (/.f64 x y))))
	37.6b	(.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) 3) 2)) (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))))
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	37.3b	(.f64 (/.f64 1 (pow.f64 (expm1.f64 (log1p.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))))))
	37.5b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) 3))
	37.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (cos.f64 (.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
	52.1b	(.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 (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))))
	37.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (.f64 (/.f64 1 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (tan.f64 (*.f64 x (/.f64 1/2 y)))))
	59.6b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (exp.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))))))
	38.9b	(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
	28.5b	(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
	28.2b	(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	30.0b	(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	27.7b	1

Compiler

Compiled 6771 to 5255 computations (22.4% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 53 computations (23.2% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`associate-/r*`
1154×	`associate-/l*`
1128×	`associate-*r/`
862×	`associate-*l/`
260×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	266	47
2	3215	47

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

Inputs

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

(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)

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

Outputs

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

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

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

simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1692×	`associate-/l*`
1316×	`distribute-lft-in`
908×	`times-frac`
768×	`associate-/l/`
594×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	556	6820
1	1293	6668
2	7071	6668

Stop Event

1×	node limit

Counts

266 → 306

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (+.f64 1 (/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y))))
✓	16.8b	(/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y))

Compiler

Compiled 50 to 23 computations (54% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (+.f64 1 (/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y))))
0.0ms	x	@	inf	(/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y))
0.0ms	y	@	0	(/.f64 1 (+.f64 1 (/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y))))
0.0ms	x	@	0	(/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y))
0.0ms	x	@	0	(/.f64 1 (+.f64 1 (/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y))))

rewrite140.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`swap-sqr`
562×	`distribute-lft-neg-in`
538×	`distribute-rgt-in`
528×	`distribute-rgt-neg-in`
494×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	262	56
2	3714	56

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs
(/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y))
(/.f64 1 (+.f64 1 (/.f64 (.f64 -1/8 (.f64 x x)) (*.f64 y y))))

Outputs

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((x exp.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 -1/8 (*.f64 x x)) (pow.f64 y -2) 1))))))))

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-/r*`
1330×	`associate-/l/`
1052×	`unswap-sqr`
986×	`associate-/r/`
634×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	6837
1	865	6697
2	3200	6685

Stop Event

1×	node limit

Counts

157 → 201

Calls

Call 1

Inputs
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.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 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/512 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(*.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (+.f64 (.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(*.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (+.f64 (.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(*.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (+.f64 (.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/512 (/.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 (.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/512 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2) 0)
(+.f64 1 (-.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2) 1))
(-.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2))) (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) (-.f64 1 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2))) 1))
(.f64 -1/8 (.f64 (*.f64 x x) (pow.f64 y -2)))
(.f64 -1/8 (/.f64 (.f64 x x) (*.f64 y y)))
(.f64 -1/8 (.f64 (pow.f64 y -2) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 -1/8 (pow.f64 y -2)))
(.f64 (.f64 -1/8 (*.f64 x x)) (pow.f64 y -2))
(.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 1)
(.f64 1 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2))
(.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) (/.f64 (*.f64 x (sqrt.f64 -1/8)) y))
(.f64 (.f64 x (sqrt.f64 -1/8)) (.f64 (.f64 x (sqrt.f64 -1/8)) (pow.f64 y -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4))))
(.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (.f64 (cbrt.f64 (.f64 -1/8 (*.f64 x x))) (pow.f64 y -2)))
(.f64 (.f64 -1/8 x) (*.f64 x (pow.f64 y -2)))
(.f64 (.f64 -1/8 (*.f64 (/.f64 x y) x)) (/.f64 1 y))
(.f64 (pow.f64 y -2) (.f64 -1/8 (*.f64 x x)))
(.f64 (/.f64 -1/8 y) (.f64 (/.f64 x y) x))
(.f64 (.f64 (/.f64 x y) x) (/.f64 -1/8 y))
(.f64 (.f64 x (*.f64 x 1/8)) (neg.f64 (pow.f64 y -2)))
(.f64 (/.f64 1 y) (.f64 -1/8 (*.f64 (/.f64 x y) x)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (.f64 -1/8 (*.f64 x x)) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 -1/8 (*.f64 y y)))
(.f64 (/.f64 (.f64 x x) (*.f64 y y)) -1/8)
(.f64 (/.f64 -1/8 (.f64 y y)) (*.f64 x x))
(.f64 (.f64 (pow.f64 y -2) (*.f64 x x)) -1/8)
(.f64 (neg.f64 (pow.f64 y -2)) (.f64 x (*.f64 x 1/8)))
(.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) 1) (/.f64 (.f64 x (sqrt.f64 -1/8)) (.f64 y y)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) 1) (/.f64 (cbrt.f64 (.f64 -1/8 (.f64 x x))) (*.f64 y y)))
(.f64 (/.f64 (.f64 -1/8 x) 1) (/.f64 x (*.f64 y y)))
(.f64 (/.f64 -1/8 (cbrt.f64 (pow.f64 y 4))) (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 y 4))) (/.f64 -1/8 (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) (.f64 y y)) (.f64 x (sqrt.f64 -1/8)))
(.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 x (sqrt.f64 -1/8)) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) y) (/.f64 (cbrt.f64 (.f64 -1/8 (.f64 x x))) y))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)))
(.f64 (/.f64 (.f64 -1/8 x) y) (/.f64 x y))
(.f64 (/.f64 (.f64 -1/8 x) (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 -1/8 (.f64 y (neg.f64 y))) (*.f64 x (neg.f64 x)))
(.f64 (/.f64 -1/8 (/.f64 (.f64 y y) x)) x)
(.f64 (/.f64 -1/8 (/.f64 (.f64 y y) 1)) (*.f64 x x))
(.f64 (/.f64 -1/8 (/.f64 (.f64 y y) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (/.f64 1 (/.f64 (.f64 y y) -1/8)) (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 x (sqrt.f64 -1/8)))) (.f64 x (sqrt.f64 -1/8)))
(.f64 (/.f64 1 (/.f64 (.f64 y y) (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)))) (cbrt.f64 (.f64 -1/8 (*.f64 x x))))
(.f64 (/.f64 1 (/.f64 (.f64 y y) (*.f64 -1/8 x))) x)
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (.f64 y y)) (cbrt.f64 (.f64 -1/8 (*.f64 x x))))
(.f64 (/.f64 (.f64 -1/8 x) (*.f64 y y)) x)
(pow.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2) 1)
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)) 3)
(pow.f64 (.f64 (/.f64 y (.f64 -1/8 x)) (/.f64 y x)) -1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2) 3) 1/3)
(neg.f64 (.f64 (pow.f64 y -2) (.f64 x (*.f64 x 1/8))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)))
(exp.f64 (.f64 2 (log.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y))))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)))) 1) (.f64 (/.f64 1 (-.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)))) (.f64 (pow.f64 y -2) (.f64 x (*.f64 x 1/8)))))
(+.f64 (.f64 (/.f64 1 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3))) 1) (.f64 (/.f64 1 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3))) (-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2))))
(+.f64 (.f64 (/.f64 1 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3))) (-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2))) (.f64 (/.f64 1 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3))) 1))
(+.f64 (.f64 1 (/.f64 1 (-.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4))))) (.f64 (.f64 (pow.f64 y -2) (.f64 x (.f64 x 1/8))) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4))))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)))) 1)
(.f64 1 (/.f64 1 (fma.f64 (.f64 -1/8 (*.f64 x x)) (pow.f64 y -2) 1)))
(.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2)) (-.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)))))
(.f64 1 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) (-.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 1)) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3))))
(.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (*.f64 x x)) (pow.f64 y -2) 1)) 1)
(.f64 (/.f64 1 (hypot.f64 1 (/.f64 (.f64 x (sqrt.f64 -1/8)) y))) (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y))))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/8 (*.f64 x x)) (pow.f64 y -2) 1) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (*.f64 x x)) (pow.f64 y -2) 1))))
(.f64 -1 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)) 2)) (cbrt.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (*.f64 x x)) (pow.f64 y -2) 1))))
(.f64 (/.f64 1 (-.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)))) (-.f64 1 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3))) (-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) (-.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 1)))
(.f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2))) -1)
(.f64 (pow.f64 (hypot.f64 1 (/.f64 (.f64 x (sqrt.f64 -1/8)) y)) -1) (pow.f64 (hypot.f64 1 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y)) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/8 (*.f64 x x)) (pow.f64 y -2) 1)) -1))
(.f64 (/.f64 1 (+.f64 -1 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)))) (+.f64 -1 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)))
(.f64 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3)))) (neg.f64 (-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) (-.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 1))))
(.f64 (/.f64 1 (-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) 1)) (-.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2) 1))
(.f64 (/.f64 (/.f64 1 (hypot.f64 1 (/.f64 (.f64 x (sqrt.f64 -1/8)) y))) (sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3)))) (sqrt.f64 (-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) (-.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2) 1))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 1 (/.f64 (.f64 x (sqrt.f64 -1/8)) y))) (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4))))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2))))
(.f64 (/.f64 -1 (+.f64 -1 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)))) (-.f64 1 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)))
(.f64 (/.f64 -1 (+.f64 -1 (neg.f64 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3)))) (-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) (-.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 1)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3)))) (cbrt.f64 (-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) (-.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 1))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)) 2)) (cbrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4))))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2))))
(pow.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1) -1)
(pow.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)) 1)
(pow.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1) 3)) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2))))
(exp.f64 (.f64 (log1p.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2)) -1))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))))

Outputs
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 (/.f64 -1/8 (*.f64 y y)) x))
(.f64 -1/8 (.f64 (/.f64 x y) (/.f64 x y)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (.f64 1/8 (.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 (.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 1 (/.f64 (.f64 1/8 (.f64 x x)) (*.f64 y y))))
(fma.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1))
(+.f64 (.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/512 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(fma.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 1 (fma.f64 1/8 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 1/512 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 (fma.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) (.f64 1/512 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))
(fma.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (.f64 (/.f64 1/512 (pow.f64 y 6)) (pow.f64 x 6))))
(*.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (.f64 -8 (.f64 y y)) (*.f64 x x))
(*.f64 (/.f64 -8 x) (/.f64 y (/.f64 x y)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(fma.f64 -8 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(fma.f64 -8 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 -64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(fma.f64 -8 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))
(fma.f64 -8 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 -64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (+.f64 (.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(fma.f64 -8 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (fma.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8)) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (fma.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8))))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (fma.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 (/.f64 -4096 (pow.f64 x 8)) (pow.f64 y 8)))))
(*.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (.f64 -8 (.f64 y y)) (*.f64 x x))
(*.f64 (/.f64 -8 x) (/.f64 y (/.f64 x y)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(fma.f64 -8 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(fma.f64 -8 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 -64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(fma.f64 -8 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))
(fma.f64 -8 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 -64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (+.f64 (.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(fma.f64 -8 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (fma.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8)) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (fma.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8))))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (fma.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 (/.f64 -4096 (pow.f64 x 8)) (pow.f64 y 8)))))
(*.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 (.f64 -8 (.f64 y y)) (*.f64 x x))
(*.f64 (/.f64 -8 x) (/.f64 y (/.f64 x y)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(fma.f64 -8 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(fma.f64 -8 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 -64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(fma.f64 -8 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))
(fma.f64 -8 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 -64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (+.f64 (.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8))) (.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(fma.f64 -8 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (fma.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8)) (*.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (fma.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 -4096 (/.f64 (pow.f64 y 8) (pow.f64 x 8))))))
(fma.f64 -8 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -512 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (fma.f64 -64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 (/.f64 -4096 (pow.f64 x 8)) (pow.f64 y 8)))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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(.f64 (/.f64 (/.f64 1 (hypot.f64 1 (/.f64 (.f64 x (sqrt.f64 -1/8)) y))) (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4))))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 1 (/.f64 x (/.f64 y (sqrt.f64 -1/8))))) (sqrt.f64 (-.f64 1 (.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/8))) 2))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 1 (.f64 (/.f64 x y) (sqrt.f64 -1/8)))) (sqrt.f64 (-.f64 1 (/.f64 (.f64 1/64 (pow.f64 x 4)) (pow.f64 y 4))))) (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 1 (.f64 (/.f64 x y) (sqrt.f64 -1/8)))) (sqrt.f64 (+.f64 1 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1/64)))) (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2))))
(.f64 (/.f64 -1 (+.f64 -1 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)))) (-.f64 1 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2)))
(.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/8))) 2) -1) (/.f64 1 (+.f64 (.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) -1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2) -1) (fma.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(.f64 (/.f64 -1 (+.f64 -1 (neg.f64 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3)))) (-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) (-.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 1)))
(.f64 (/.f64 1 (-.f64 -1 (pow.f64 (pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/8))) 2) 3))) (neg.f64 (+.f64 (-.f64 (.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/8))) 2)) 1)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1/64) (-.f64 1 (pow.f64 (.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2))) (-.f64 -1 (pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2) 3)))
(/.f64 (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1/64) -1) (pow.f64 (.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2)) (-.f64 -1 (pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2) 3)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 3)))) (cbrt.f64 (-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4)) (-.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2) 1))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/8))) 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)) 2))) (cbrt.f64 (+.f64 (-.f64 (*.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/8))) 2)) 1)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 (/.f64 x y) (/.f64 -1/8 y)) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2) 3)))) (cbrt.f64 (-.f64 (fma.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1) (pow.f64 (.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 (/.f64 x y) (/.f64 -1/8 y)) 1)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2) 3))))) (cbrt.f64 (-.f64 (fma.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1) (pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)) 2)) (cbrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 y 4))))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)) 2)) (cbrt.f64 (-.f64 1 (.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/8))) 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 (/.f64 x y) (/.f64 -1/8 y)) 1)) 2)) (cbrt.f64 (-.f64 1 (/.f64 (.f64 1/64 (pow.f64 x 4)) (pow.f64 y 4))))) (cbrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 (/.f64 x y) (/.f64 -1/8 y)) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1/64)))) (cbrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2))))
(pow.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1) -1)
(/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))
(/.f64 1 (fma.f64 x (*.f64 (/.f64 x y) (/.f64 -1/8 y)) 1))
(pow.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)) 1)
(/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))
(/.f64 1 (fma.f64 x (*.f64 (/.f64 x y) (/.f64 -1/8 y)) 1))
(pow.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y))) 2)
(pow.f64 (hypot.f64 1 (/.f64 x (/.f64 y (sqrt.f64 -1/8)))) -2)
(pow.f64 (hypot.f64 1 (*.f64 (/.f64 x y) (sqrt.f64 -1/8))) -2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))) 3)
(/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))
(/.f64 1 (fma.f64 x (*.f64 (/.f64 x y) (/.f64 -1/8 y)) 1))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x (*.f64 (/.f64 x y) (/.f64 -1/8 y)) 1) 3)))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1) -2))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 (/.f64 x y) (/.f64 -1/8 y)) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))))
(/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))
(/.f64 1 (fma.f64 x (*.f64 (/.f64 x y) (/.f64 -1/8 y)) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1)))))
(/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))
(/.f64 1 (fma.f64 x (*.f64 (/.f64 x y) (/.f64 -1/8 y)) 1))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x (*.f64 (/.f64 x y) (/.f64 -1/8 y)) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))))
(/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))
(/.f64 1 (fma.f64 x (*.f64 (/.f64 x y) (/.f64 -1/8 y)) 1))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 x (sqrt.f64 -1/8)) y) 2))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/8))) 2))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2))))
(exp.f64 (.f64 (log1p.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2)) -1))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/8))) 2))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2))))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 (.f64 x (sqrt.f64 -1/8)) y) 2))) 1))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 x (/.f64 y (sqrt.f64 -1/8))) 2))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 -1/8)) 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))))
(/.f64 1 (fma.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 y -2) 1))
(/.f64 1 (fma.f64 x (*.f64 (/.f64 x y) (/.f64 -1/8 y)) 1))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)
✓	27.9b	(cos.f64 (.f64 (/.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x)))

Compiler

Compiled 64 to 39 computations (39.1% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

18 calls:

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

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`associate-*r/`
1496×	`associate-/r*`
1218×	`associate-*l/`
1158×	`associate-/l*`
264×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	86
1	267	46
2	3308	46

Stop Event

1×	node limit

Counts

4 → 245

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 2) (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))
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simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1488×	`times-frac`
1074×	`associate-r`
1012×	`associate-/l/`
950×	`associate-/r*`
882×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	608	6809
1	1486	6767

Stop Event

1×	node limit

Counts

293 → 333

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

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

localize112.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	8.7b	(/.f64 (sqrt.f64 (pow.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y)))) (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	27.8b	(sin.f64 (*.f64 x (/.f64 1/2 y)))
✓	27.8b	(cos.f64 (*.f64 x (/.f64 1/2 y)))
	27.9b	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 124 to 90 computations (27.4% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`associate-/r/`
540×	`associate-/l/`
402×	`add-sqr-sqrt`
388×	`*-un-lft-identity`
386×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	78
1	423	56
2	5364	56

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-/r/`
866×	`*-commutative`
836×	`unswap-sqr`
820×	`associate-/l/`
500×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	4779
1	631	4667
2	2629	4609

Stop Event

1×	node limit

Counts

133 → 140

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
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1
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1
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y)))))) 1)
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(.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))))))
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(.f64 (/.f64 (sin.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 (/.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))))))
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(.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))))))
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(.f64 (/.f64 (.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x (/.f64 1/2 y))))))
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(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
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)))))
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(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 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)))))
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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))))
(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))))

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 y)
✓	4.2b	(/.f64 (sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
✓	14.2b	(sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))))
	28.3b	(tan.f64 (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 114 to 47 computations (58.8% saved)

series33.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	y	@	-inf	(/.f64 (sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
14.0ms	y	@	-inf	(sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))))
1.0ms	y	@	inf	(/.f64 (sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
0.0ms	x	@	0	(sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))))
0.0ms	y	@	inf	(sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`associate-/r/`
970×	`associate-/l/`
394×	`add-sqr-sqrt`
386×	`*-un-lft-identity`
384×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	387	56
2	5691	56

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1084×	`associate-+l+`
954×	`+-commutative`
828×	`associate-+r+`
698×	`associate-r`
636×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	403	7022
1	1185	6788
2	6179	6788

Stop Event

1×	node limit

Counts

114 → 129

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)))
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(.f64 (/.f64 1 (/.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 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2))) (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2) (tan.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) 1) (sin.f64 (.f64 1/2 (/.f64 x y)))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) 1) 1) (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) 1) (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (sqrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y)))) 3) 1/3)
(pow.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))) -1)
(neg.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (neg.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y)))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y)))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) 3) (pow.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (*.f64 1/2 (/.f64 x y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x 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 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) 1/3) (/.f64 x (*.f64 y (cbrt.f64 -1)))))
(.f64 (.f64 -1/2 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 (/.f64 x y) (cbrt.f64 -1)))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))) (.f64 (/.f64 (/.f64 x (cbrt.f64 -1)) y) -1/2))
(+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 3)))) (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) 1/3) (/.f64 x (*.f64 y (cbrt.f64 -1))))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 4))) (.f64 (*.f64 -1/2 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 (/.f64 x y) (cbrt.f64 -1))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 4))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))) (*.f64 (/.f64 (/.f64 x (cbrt.f64 -1)) y) -1/2)))
(+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 3)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) 1/3) (/.f64 x (.f64 y (cbrt.f64 -1))))) (.f64 -1/3840 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 20)) 1/3) (/.f64 (pow.f64 x 5) (.f64 (pow.f64 y 5) (pow.f64 (cbrt.f64 -1) 5)))))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 4))) (fma.f64 -1/2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))) (/.f64 (/.f64 x y) (cbrt.f64 -1))) (.f64 (.f64 -1/3840 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 20)))) (/.f64 (pow.f64 x 5) (*.f64 (pow.f64 y 5) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 4))) (fma.f64 -1/2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))) (/.f64 (/.f64 x (cbrt.f64 -1)) y)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 20))) (.f64 (/.f64 (pow.f64 x 5) (*.f64 (pow.f64 y 5) (pow.f64 (cbrt.f64 -1) 5))) -1/3840))))
(+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 3)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) 1/3) (/.f64 x (.f64 y (cbrt.f64 -1))))) (+.f64 (.f64 1/645120 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 28)) 1/3) (/.f64 (pow.f64 x 7) (.f64 (pow.f64 y 7) (pow.f64 (cbrt.f64 -1) 7))))) (.f64 -1/3840 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 20)) 1/3) (/.f64 (pow.f64 x 5) (*.f64 (pow.f64 y 5) (pow.f64 (cbrt.f64 -1) 5))))))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 4))) (fma.f64 -1/2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))) (/.f64 (/.f64 x y) (cbrt.f64 -1))) (fma.f64 1/645120 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 28))) (/.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (pow.f64 (cbrt.f64 -1) 7))) (.f64 (.f64 -1/3840 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 20)))) (/.f64 (pow.f64 x 5) (.f64 (pow.f64 y 5) (pow.f64 (cbrt.f64 -1) 5)))))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 4))) (fma.f64 -1/2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))) (/.f64 (/.f64 x (cbrt.f64 -1)) y)) (fma.f64 -1/3840 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 20))) (/.f64 (pow.f64 x 5) (.f64 (pow.f64 y 5) (pow.f64 (cbrt.f64 -1) 5)))) (.f64 (/.f64 (pow.f64 x 7) (.f64 (pow.f64 y 7) (pow.f64 (cbrt.f64 -1) 7))) (*.f64 1/645120 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 28))))))))
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 (*.f64 1/384 (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 (*.f64 1/384 (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 (.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 2 (/.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))
(+.f64 (+.f64 1 (.f64 (/.f64 (.f64 x x) (.f64 y y)) -1/24)) (.f64 -2 (/.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 x (*.f64 y y)))))
(+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) -1/24 1) (.f64 (.f64 (/.f64 (pow.f64 x 3) (.f64 y y)) (/.f64 1/24 x)) -2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (+.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 (.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 2 (/.f64 (.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) (-.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 2 (/.f64 (-.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 3))) x)))) (*.f64 (pow.f64 y 4) x))))))
(+.f64 1 (-.f64 (fma.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (.f64 (/.f64 (.f64 x x) (.f64 y y)) -1/24)) (fma.f64 2 (/.f64 (-.f64 (.f64 1/3840 (pow.f64 x 5)) (fma.f64 -1/8 (.f64 (.f64 x x) (.f64 (pow.f64 x 3) 1/24)) (.f64 (pow.f64 x 5) 1/768))) (.f64 x (pow.f64 y 4))) (.f64 2 (+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 x (.f64 y y))) (.f64 (/.f64 (.f64 (pow.f64 x 3) 1/24) (pow.f64 y 4)) (/.f64 (+.f64 (.f64 (.f64 x x) -1/24) (.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) 1/24) x))) x)))))))
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(/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2))
(.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (/.f64 1 (neg.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 1 (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)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 1) (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (tan.f64 (.f64 1/2 (/.f64 x y)))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (tan.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (tan.f64 (.f64 1/2 (/.f64 x y)))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2) (sqrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (/.f64 1 (sqrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (sqrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (sqrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (*.f64 1/2 (/.f64 x y))))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (/.f64 1 (/.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 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 1 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2))) (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 2) (tan.f64 (.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) 1) (sin.f64 (.f64 1/2 (/.f64 x y)))) (cos.f64 (.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) 1) 1) (/.f64 (cos.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) 1) (neg.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (neg.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (sqrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y)))) 2))) (cbrt.f64 (cos.f64 (.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y)))) 1)
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))) 2)
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))) 3)
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y)))) 3) 1/3)
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) (sin.f64 (.f64 1/2 (/.f64 x y)))) -1)
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (neg.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y)))) 2))
(fabs.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y)))))
(log.f64 (exp.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y)))))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y)))) 3))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) 3) (pow.f64 (tan.f64 (.f64 1/2 (/.f64 x y))) 3)))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (*.f64 1/2 (/.f64 x y))))) 1))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))))
(/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (tan.f64 (.f64 1/2 (/.f64 x y))))

eval712.0ms (4.7%)

Compiler: Compiled 35944 to 25530 computations (29% saved)

prune1.1s (7%)

Pruning

176 alts after pruning (168 fresh and 8 done)

	Pruned	Kept	Total
New	1344	62	1406
Fresh	44	106	150
Picked	0	1	1
Done	2	7	9
Total	1390	176	1566

Error

23.2b

Counts

1566 → 176

Alt Table

Click to see full alt table

Status	Error	Program
	37.7b	(pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) 3) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	37.5b	(pow.f64 (/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cbrt.f64 (tan.f64 (.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2)) -1)
	39.7b	(pow.f64 (/.f64 (.f64 1/2 (/.f64 x y)) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	37.3b	(pow.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/2 y))) 3)) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	37.4b	(pow.f64 (/.f64 (sin.f64 (/.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)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.2b	(pow.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (cbrt.f64 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.4b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 (.f64 y 2)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.5b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	53.0b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (pow.f64 y 1/3)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	53.0b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (.f64 (pow.f64 y 1/6) (sqrt.f64 (cbrt.f64 y)))))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	53.1b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (exp.f64 (.f64 (log.f64 y) 1/3))))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
✓	52.6b	(pow.f64 (/.f64 (sin.f64 (/.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	38.0b	(pow.f64 (/.f64 (sin.f64 (/.f64 (cbrt.f64 x) (/.f64 (.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	39.0b	(pow.f64 (/.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
	37.4b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3)) -1)
	37.3b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (/.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)))) -1)
	54.2b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 1/4) 2) 2))) -1)
✓	54.2b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2))) -1)
	54.9b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (*.f64 x (/.f64 1/2 y))) 1/2)) 2))) -1)
	37.6b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.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))))) -1)
	37.5b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) -1)
	37.1b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (.f64 x (/.f64 1/2 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)))) -1)
	37.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 (cbrt.f64 x) (/.f64 (.f64 y 2) (pow.f64 (cbrt.f64 x) 2))))) -1)
	52.5b	(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 x (/.f64 (sqrt.f64 y) (/.f64 1/2 (sqrt.f64 y)))))) -1)
	39.0b	(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (/.f64 1/2 (/.f64 y x)))) -1)
	51.7b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 (/.f64 (sqrt.f64 (.f64 1/2 x)) y) (sqrt.f64 (.f64 1/2 x))))) -1)
	52.5b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y))))) -1)
	52.9b	(pow.f64 (/.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) (tan.f64 (fabs.f64 (.f64 1/2 (/.f64 x y))))) -1)
	54.3b	(pow.f64 (/.f64 (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2))) -1)
	54.2b	(pow.f64 (/.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (tan.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2))) -1)
	53.9b	(pow.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (tan.f64 (.f64 x (/.f64 1/2 y)))) -1)
	28.2b	(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
	38.7b	(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (sin.f64 (.f64 x (/.f64 1/2 y))))) 2)
	37.4b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (.f64 y 2))))
	37.4b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (.f64 y 2))))
	37.6b	(/.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))))
	38.9b	(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (.f64 y 2))))
	28.1b	(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
	39.5b	(/.f64 (.f64 x (/.f64 1/2 y)) (sin.f64 (/.f64 x (.f64 y 2))))
	63.0b	(/.f64 (.f64 -8 (.f64 y y)) (*.f64 x x))
	37.5b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 3))
	37.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
	55.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 x (/.f64 1/2 y))) 2)))
✓	36.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	52.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))
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	49.6b	(/.f64 1 (cos.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y)) (cbrt.f64 (/.f64 x (.f64 y (/.f64 y 1/2))))) (sqrt.f64 (*.f64 x 1/2)))))
	27.7b	(/.f64 1 (cos.f64 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2))) (/.f64 (cbrt.f64 (*.f64 x 1/2)) y))))
	50.3b	(/.f64 1 (cos.f64 (.f64 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y))) (sqrt.f64 (*.f64 x 1/2)))))
	47.5b	(/.f64 1 (cos.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 x 1/2)) 2/3)) (/.f64 (cbrt.f64 (.f64 x 1/2)) y))))
	47.8b	(/.f64 1 (cos.f64 (.f64 (cbrt.f64 (.f64 x 1/2)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 4) (sqrt.f64 y))))))
	28.1b	(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
✓	28.2b	(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
	45.0b	(/.f64 1 (cos.f64 (exp.f64 (log.f64 (/.f64 (*.f64 x 1/2) y)))))
	28.2b	(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 3)))
✓	30.9b	(+.f64 1 (.f64 1/8 (.f64 (/.f64 x y) (/.f64 x y))))
	37.5b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))))) 3))
	52.1b	(.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 (fabs.f64 (sin.f64 (.f64 1/2 (/.f64 x y)))))))
	37.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y)))) 2)) (.f64 (/.f64 1 (cbrt.f64 (sin.f64 (.f64 x (/.f64 1/2 y))))) (tan.f64 (*.f64 x (/.f64 1/2 y)))))
	59.6b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (exp.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))))))
	38.9b	(.f64 (/.f64 1 (sin.f64 (.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
	62.7b	(*.f64 (/.f64 -8 x) (/.f64 y (/.f64 x y)))
	28.5b	(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
	28.2b	(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	30.0b	(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
	27.7b	1

Compiler

Compiled 3541 to 2750 computations (22.3% saved)

regimes1.2s (7.7%)

Counts

286 → 1

Calls

Call 1

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

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

Calls

5 calls:

250.0ms	(*.f64 y 2)
243.0ms	y
187.0ms	(/.f64 x (*.f64 y 2))
163.0ms	x
122.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Results

Error	Segments	Branch
27.7b	1	`x`
27.7b	1	`y`
27.7b	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))`
27.7b	1	`(/.f64 x (*.f64 y 2))`
27.7b	1	`(*.f64 y 2)`

Compiler

Compiled 5525 to 3916 computations (29.1% saved)

regimes237.0ms (1.6%)

Accuracy

Total -36.3b remaining (-130.7%)

Threshold costs -36.3b (-130.7%)

Counts

101 → 1

Calls

Call 1

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

Outputs
1

Calls

5 calls:

49.0ms	y
45.0ms	(*.f64 y 2)
45.0ms	x
35.0ms	(/.f64 x (*.f64 y 2))
27.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Results

Error	Segments	Branch
27.7b	1	`x`
27.7b	1	`y`
27.7b	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))`
27.7b	1	`(/.f64 x (*.f64 y 2))`
27.7b	1	`(*.f64 y 2)`

Compiler

Compiled 1280 to 882 computations (31.1% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	19	50

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 21 to 18 computations (14.3% saved)

soundness90.0ms (0.6%)

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

Compiler

Compiled 116 to 92 computations (20.7% saved)

end56.0ms (0.4%)

Compiler: Compiled 19 to 16 computations (15.8% saved)