Details

analyze153.0ms (3.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	8
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	9
60.9%	60.9%	39%	0.1%	0%	0%	0%	10
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	11
79.3%	79.2%	20.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample800.0ms (19%)

Results

787.0ms

8256×

body

256

valid

Bogosity

preprocess218.0ms (5.2%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 y x) (.f64 (.f64 y 2) x))

Outputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 y x))
(/.f64 (+.f64 y x) (.f64 (.f64 y 2) x))
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 y x))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify91.0ms (2.2%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Outputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y))

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

prune12.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

13.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.4b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize24.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.0b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 25 to 13 computations (48% saved)

series29.0ms (0.7%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
2.0ms	y	@	-inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	x	@	-inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	x	@	inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	x	@	0	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 1095 to 885 computations (19.2% saved)

rewrite155.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

214× egg-rr

Counts

1 → 214

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Outputs
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Outputs

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simplify494.0ms (11.8%)

Algorithm

1×

egglog

Counts

238 → 276

Calls

Call 1

Inputs
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(if (!=.f64 (+.f64 x y) 0) (pow.f64 (/.f64 (.f64 x y) (.f64 1/2 (+.f64 x y))) -1) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
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(.f64 (cbrt.f64 (/.f64 (/.f64 1/2 x) y)) (.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 x) y)) 2) (+.f64 x y)))
(.f64 (cbrt.f64 (+.f64 x y)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 (/.f64 1/2 x) y)) 1))
(.f64 (neg.f64 (+.f64 x y)) (.f64 (/.f64 (/.f64 1/2 x) (neg.f64 y)) 1))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) y) 1))
(.f64 (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1/2 x)) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y) 1))
(.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) (.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (*.f64 2 y)) 1))
(.f64 (/.f64 (cbrt.f64 (+.f64 x y)) y) (.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 1/2 x)) 1))
(.f64 (cbrt.f64 (/.f64 (/.f64 1/2 x) y)) (.f64 (/.f64 (+.f64 x y) (cbrt.f64 (pow.f64 (.f64 (.f64 x 2) y) 2))) 1))
(.f64 (/.f64 (+.f64 x y) (.f64 x 2)) (*.f64 (/.f64 1 y) 1))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (/.f64 1/2 x) y)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))) 2) (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 2))))
(.f64 (neg.f64 (/.f64 (+.f64 x y) (.f64 x 2))) (/.f64 1 (neg.f64 y)))
(.f64 1/2 (/.f64 (+.f64 x y) (.f64 x y)))
(.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (.f64 (cbrt.f64 (.f64 (*.f64 x x) 4)) y)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 (*.f64 x 2) y)))
(.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) (/.f64 1 (.f64 (cbrt.f64 (.f64 y y)) (.f64 x 2))))
(.f64 (/.f64 (+.f64 x y) (.f64 x y)) 1/2)
(.f64 (/.f64 (+.f64 x y) (.f64 y (cbrt.f64 (.f64 x 2)))) (/.f64 1 (cbrt.f64 (.f64 (*.f64 x x) 4))))
(.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) (/.f64 1 (.f64 (cbrt.f64 (.f64 x x)) (.f64 2 y))))
(.f64 (/.f64 1 (neg.f64 y)) (neg.f64 (/.f64 (+.f64 x y) (.f64 x 2))))
(.f64 (/.f64 -1 y) (neg.f64 (/.f64 (+.f64 x y) (.f64 x 2))))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (/.f64 (+.f64 x y) y) (*.f64 x 2))
(/.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 1)
(/.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) y) x)
(/.f64 (.f64 (/.f64 1 y) (.f64 (+.f64 x y) (cbrt.f64 (/.f64 1/2 x)))) (cbrt.f64 (.f64 (.f64 x x) 4)))
(/.f64 (.f64 (/.f64 1 y) (neg.f64 (+.f64 x y))) (neg.f64 (.f64 x 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x 2)))) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 2)) (cbrt.f64 (neg.f64 (+.f64 x y)))) (cbrt.f64 (neg.f64 (.f64 (*.f64 x 2) y))))
(/.f64 (.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 1/2 x))) (/.f64 1 y)) (cbrt.f64 (.f64 (.f64 x x) 4)))
(/.f64 (.f64 (neg.f64 (+.f64 x y)) (/.f64 1 y)) (neg.f64 (.f64 x 2)))
(/.f64 (.f64 (neg.f64 (/.f64 (+.f64 x y) (.f64 x 2))) 1) (neg.f64 y))
(/.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x 2))) (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 2))) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 2))) (cbrt.f64 (neg.f64 (.f64 (*.f64 x 2) y))))
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y))
(/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 1/2 x))) (.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) y))
(/.f64 (/.f64 (+.f64 x y) (.f64 y (cbrt.f64 (.f64 x 2)))) (cbrt.f64 (.f64 (.f64 x x) 4)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) (.f64 (cbrt.f64 (.f64 y y)) (*.f64 x 2)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 2 y)))
(/.f64 (/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x 2) y))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (*.f64 x 2) y))) 2) 2))
(/.f64 (/.f64 (/.f64 (+.f64 x y) (.f64 x 2)) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) y))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 2)) (*.f64 (cbrt.f64 4) y))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 2 y))) (pow.f64 (cbrt.f64 (.f64 2 y)) 2))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (*.f64 8 y))) (cbrt.f64 y)) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 (.f64 (.f64 x x) 4))) (cbrt.f64 (*.f64 x 2)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 (.f64 x 2))) (cbrt.f64 (.f64 (*.f64 x x) 4)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 x)) (cbrt.f64 (.f64 (.f64 x x) 8)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 2)) (*.f64 (cbrt.f64 4) x))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 (.f64 8 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) y) (neg.f64 (*.f64 x 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (neg.f64 (*.f64 2 y)))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (cbrt.f64 (neg.f64 (.f64 (.f64 x 2) y)))) (pow.f64 (cbrt.f64 (neg.f64 (.f64 (.f64 x 2) y))) 2))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (cbrt.f64 (.f64 (.f64 x 2) y))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x 2) y) 2))))
(/.f64 (.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 1/2 x))) 1) (.f64 (cbrt.f64 (.f64 (*.f64 x x) 4)) y))
(/.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (.f64 (cbrt.f64 (neg.f64 (.f64 (.f64 x 2) y))) (cbrt.f64 (pow.f64 (.f64 (.f64 x 2) y) 2))))
(/.f64 (neg.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y)))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2))))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) (*.f64 x 2))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) x)) (neg.f64 (*.f64 2 y)))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) y)) (neg.f64 (*.f64 x 2)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y)))) (neg.f64 (cbrt.f64 (.f64 y y))))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (.f64 (.f64 x 2) y)))
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) y)
(/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) (cbrt.f64 (.f64 y y)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1/2 x) y)) (+.f64 x y)) (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2)))
(/.f64 (*.f64 (/.f64 1 y) (/.f64 (+.f64 x y) x)) 2)
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 2)) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (.f64 (*.f64 x 2) y)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (pow.f64 (.f64 (.f64 x 2) y) 2))) (cbrt.f64 (.f64 (.f64 x 2) y)))
(/.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 1 y)) 2)
(/.f64 (.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) 1) (cbrt.f64 (pow.f64 (.f64 (.f64 x 2) y) 2)))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) 1) (cbrt.f64 (*.f64 y y)))
(/.f64 (/.f64 (+.f64 x y) (*.f64 x y)) 2)
(/.f64 (/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) 1) (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) y) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) 1) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (.f64 y (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (*.f64 x (cbrt.f64 2))) (cbrt.f64 4))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) x) 2)
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (*.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) (neg.f64 (neg.f64 y)))
(pow.f64 (cbrt.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 3) 1/3)
(pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (.f64 (.f64 x 2) y))))
(neg.f64 (.f64 (/.f64 (+.f64 x y) (neg.f64 (.f64 (*.f64 x 2) y))) 1))
(cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 3))

Outputs
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(if (!=.f64 (+.f64 x y) 0) (pow.f64 (/.f64 (.f64 x y) (.f64 1/2 (+.f64 x y))) -1) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (+.f64 x y) 0) (/.f64 1 (/.f64 (.f64 x y) (.f64 1/2 (+.f64 x y)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (.f64 (.f64 x 2) y) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (.f64 y (.f64 x 2)) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 1 0) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (cbrt.f64 (+.f64 x y)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 (.f64 (.f64 x 2) y) (cbrt.f64 (+.f64 x y)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (cbrt.f64 (+.f64 x y)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 (.f64 y (.f64 x 2)) (cbrt.f64 (+.f64 x y)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2))) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (.f64 (.f64 x 2) y) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2))) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (.f64 y (.f64 x 2)) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (/.f64 (neg.f64 (.f64 (.f64 x 2) y)) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (.f64 y (.f64 x 2)) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (+.f64 x y) 0) (/.f64 -1 (/.f64 (neg.f64 (.f64 (.f64 x 2) y)) (+.f64 x y))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (+.f64 x y) 0) (/.f64 -1 (neg.f64 (/.f64 (.f64 y (.f64 x 2)) (+.f64 x y)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (/.f64 (neg.f64 (.f64 (.f64 x 2) y)) (pow.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) 2))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (/.f64 (neg.f64 (.f64 y (.f64 x 2))) (pow.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) 2))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (neg.f64 (+.f64 x y)) 0) (pow.f64 (/.f64 (.f64 x y) (.f64 1/2 (+.f64 x y))) -1) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (neg.f64 (+.f64 x y)) 0) (/.f64 1 (/.f64 (.f64 x y) (.f64 1/2 (+.f64 x y)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (/.f64 1/2 x) 0) (/.f64 (+.f64 x y) (/.f64 y (/.f64 1/2 x))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 1/2 x)) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 y (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 1/2 x)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (.f64 1/2 (+.f64 x y)) 0) (/.f64 (/.f64 1 x) (/.f64 y (.f64 1/2 (+.f64 x y)))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 1/2) 0) (/.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) (/.f64 y (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 1/2))) (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)))
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(/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 (.f64 (.f64 x x) 4))) (cbrt.f64 (*.f64 x 2)))
(/.f64 (/.f64 (+.f64 x y) (.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) y)) (cbrt.f64 (.f64 x 2)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 (.f64 x 2))) (cbrt.f64 (.f64 (*.f64 x x) 4)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (.f64 (.f64 x x) 4))) (.f64 y (cbrt.f64 (.f64 x 2))))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 x)) (cbrt.f64 (.f64 (.f64 x x) 8)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 2)) (*.f64 (cbrt.f64 4) x))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 (.f64 8 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) y) (neg.f64 (*.f64 x 2)))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) x) (neg.f64 (*.f64 2 y)))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (cbrt.f64 (neg.f64 (.f64 (.f64 x 2) y)))) (pow.f64 (cbrt.f64 (neg.f64 (.f64 (.f64 x 2) y))) 2))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (cbrt.f64 (neg.f64 (.f64 y (.f64 x 2))))) (pow.f64 (cbrt.f64 (neg.f64 (.f64 y (.f64 x 2)))) 2))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (cbrt.f64 (.f64 (.f64 x 2) y))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x 2) y) 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (cbrt.f64 (.f64 y (.f64 x 2)))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 y (.f64 x 2)) 2))))
(/.f64 (.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 1/2 x))) 1) (.f64 (cbrt.f64 (.f64 (*.f64 x x) 4)) y))
(/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 1/2 x))) (.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) y))
(/.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2))))
(/.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 x y) (.f64 x 2)) (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (.f64 y (pow.f64 (.f64 y (*.f64 x 2)) 2))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (.f64 (cbrt.f64 (neg.f64 (.f64 (.f64 x 2) y))) (cbrt.f64 (pow.f64 (.f64 (.f64 x 2) y) 2))))
(/.f64 (cbrt.f64 (.f64 (neg.f64 (+.f64 x y)) (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (.f64 (neg.f64 (.f64 y (.f64 x 2))) (pow.f64 (.f64 y (.f64 x 2)) 2))))
(/.f64 (neg.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y)))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2))))
(/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) (cbrt.f64 (pow.f64 (.f64 y (*.f64 x 2)) 2)))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) (*.f64 x 2))) (neg.f64 y))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) x)) (neg.f64 (*.f64 2 y)))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) y)) (neg.f64 (*.f64 x 2)))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y)))) (neg.f64 (cbrt.f64 (.f64 y y))))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) (cbrt.f64 (.f64 y y)))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (.f64 (.f64 x 2) y)))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) y)
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2)))
(/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) (cbrt.f64 (pow.f64 (.f64 y (*.f64 x 2)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) (cbrt.f64 (.f64 y y)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1/2 x) y)) (+.f64 x y)) (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2)))
(/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) (cbrt.f64 (pow.f64 (.f64 y (*.f64 x 2)) 2)))
(/.f64 (*.f64 (/.f64 1 y) (/.f64 (+.f64 x y) x)) 2)
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 2)) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (.f64 (*.f64 x 2) y)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 2) (+.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x 2))))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2)))
(/.f64 (cbrt.f64 (.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (pow.f64 (.f64 y (*.f64 x 2)) 2)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (pow.f64 (.f64 (.f64 x 2) y) 2))) (cbrt.f64 (.f64 (.f64 x 2) y)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (pow.f64 (.f64 y (.f64 x 2)) 2))) (cbrt.f64 (.f64 y (.f64 x 2))))
(/.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 1 y)) 2)
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) 1) (cbrt.f64 (pow.f64 (.f64 (.f64 x 2) y) 2)))
(/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) (cbrt.f64 (pow.f64 (.f64 y (*.f64 x 2)) 2)))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) 1) (cbrt.f64 (*.f64 y y)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 (+.f64 x y) (*.f64 x y)) 2)
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) 1) (cbrt.f64 (pow.f64 (.f64 (*.f64 x 2) y) 2)))
(/.f64 (.f64 (+.f64 x y) (cbrt.f64 (/.f64 (/.f64 1/2 x) y))) (cbrt.f64 (pow.f64 (.f64 y (*.f64 x 2)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) y) 2)
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) 1) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x y) x) (cbrt.f64 (.f64 8 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (.f64 y (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (*.f64 x (cbrt.f64 2))) (cbrt.f64 4))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) x) 2)
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) (*.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 x y) (*.f64 x 2)) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(pow.f64 (cbrt.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y))) 3)
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y))
(pow.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 3) 1/3)
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y))
(pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 1)
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (.f64 (.f64 x 2) y))))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(neg.f64 (.f64 (/.f64 (+.f64 x y) (neg.f64 (.f64 (*.f64 x 2) y))) 1))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 2 y))
(cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y)) 3))
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 x y))

eval97.0ms (2.3%)

Compiler: Compiled 5329 to 2708 computations (49.2% saved)

prune42.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	272	4	276
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	273	4	277

Error

Counts

277 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.6b	(/.f64 (/.f64 (/.f64 (+.f64 x y) y) x) 2)
▶	33.7b	(/.f64 1/2 y)
▶	30.1b	(/.f64 1/2 x)
▶	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

series11.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 1095 to 885 computations (19.2% saved)

rewrite117.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

113× egg-rr

Counts

1 → 113

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 y) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 y) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 (/.f64 1/4 (.f64 y y))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (.f64 x x))) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 -1 y) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) y) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (.f64 y y))) (cbrt.f64 (/.f64 1/2 y)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 y) 1 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (/.f64 (cbrt.f64 1/4) y) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 1/2 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 x) 1 (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 -1 x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1/2 (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (/.f64 (cbrt.f64 1/4) x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (.f64 x x))) (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (/.f64 1/8 (.f64 y y))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 y)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 y y))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1/8 (.f64 x x))) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 x x))) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 1/2 y) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 1/2 x) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 0) (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y))) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) 0) (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y))) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (+.f64 x y))) 2) 0) (/.f64 (cbrt.f64 (.f64 1/2 (+.f64 x y))) (/.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 1/2 (+.f64 x y))) 2))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 1/2 (+.f64 x y)) 0) (/.f64 1 (/.f64 (.f64 y x) (.f64 1/2 (+.f64 x y)))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))) 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Outputs

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(sqrt.f64 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) (/.f64 1 (neg.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 x y)) (/.f64 1 (neg.f64 (neg.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2)) (cbrt.f64 (*.f64 1/2 (+.f64 x y)))) (cbrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) 1) (neg.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x y) (*.f64 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2))) (cbrt.f64 (*.f64 y x)))))) 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(+.f64 (*.f64 y 2) (*.f64 x 2)) (*.f64 (*.f64 x 2) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 1/8 x)) (*.f64 y 2)) (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (cbrt.f64 (*.f64 y y))) (*.f64 (neg.f64 x) (cbrt.f64 (/.f64 1/8 y)))) (*.f64 (neg.f64 x) (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 x 2) (cbrt.f64 (/.f64 1/8 y)))) (*.f64 (*.f64 x 2) (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 1/8 x)) (cbrt.f64 (*.f64 y y))) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (/.f64 1/8 y)))) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y 2) -1/2)) (*.f64 (*.f64 y 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 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(neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) (cbrt.f64 y)) (*.f64 (cbrt.f64 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 y (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) (neg.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/8)) (*.f64 x (cbrt.f64 (/.f64 1/8 y)))) (*.f64 (cbrt.f64 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 1/8 y)) (neg.f64 x)) (*.f64 (cbrt.f64 (*.f64 y y)) -1/2)) (*.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 1/8 y)) x) (cbrt.f64 (*.f64 (*.f64 y y) 1/8))) (*.f64 (cbrt.f64 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (neg.f64 (neg.f64 (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) (neg.f64 (neg.f64 (neg.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1/2 (/.f64 (+.f64 x y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) (neg.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3))))))

simplify1.0s (24.3%)

Algorithm

1×

egglog

Counts

137 → 128

Calls

Call 1

Inputs
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (/.f64 1 y) (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (/.f64 1/2 y))
(fma.f64 1 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (/.f64 1/2 y))
(fma.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 y))
(fma.f64 -1/2 (/.f64 -1 y) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) y) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (cbrt.f64 (/.f64 1/2 y)) (/.f64 1/2 x))
(fma.f64 (/.f64 1/2 y) 1 (/.f64 1/2 x))
(fma.f64 (cbrt.f64 1/2) (/.f64 (cbrt.f64 1/4) y) (/.f64 1/2 x))
(fma.f64 (/.f64 1 y) 1/2 (/.f64 1/2 x))
(fma.f64 (/.f64 1/2 x) 1 (/.f64 1/2 y))
(fma.f64 -1/2 (/.f64 -1 x) (/.f64 1/2 y))
(fma.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) x) (/.f64 1/2 y))
(fma.f64 (/.f64 1 x) 1/2 (/.f64 1/2 y))
(fma.f64 (cbrt.f64 1/2) (/.f64 (cbrt.f64 1/4) x) (/.f64 1/2 y))
(fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 y))
(fma.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (/.f64 1/8 (*.f64 y y))) (/.f64 1/2 x))
(fma.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 y)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 y y))) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1/8 (*.f64 x x))) (/.f64 1/2 y))
(fma.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 x x))) (/.f64 1/2 y))
(if (!=.f64 (/.f64 1/2 y) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (/.f64 1/2 x) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 0) (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y))) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) 0) (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y))) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (+.f64 x y))) 2) 0) (/.f64 (cbrt.f64 (.f64 1/2 (+.f64 x y))) (/.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 1/2 (+.f64 x y))) 2))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (.f64 1/2 (+.f64 x y)) 0) (/.f64 1 (/.f64 (.f64 y x) (*.f64 1/2 (+.f64 x y)))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2)) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(*.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 2))
(*.f64 (cbrt.f64 1/2) (+.f64 (/.f64 (cbrt.f64 1/4) y) (/.f64 (cbrt.f64 1/4) x)))
(*.f64 (cbrt.f64 1/2) (+.f64 (/.f64 (cbrt.f64 1/4) x) (/.f64 (cbrt.f64 1/4) y)))
(.f64 (+.f64 (cbrt.f64 (/.f64 1/4 (.f64 x x))) (-.f64 (cbrt.f64 (/.f64 1/4 (.f64 y y))) (cbrt.f64 (/.f64 1/4 (.f64 y x))))) (+.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 y))))
(.f64 (+.f64 (cbrt.f64 (/.f64 1/4 (.f64 y y))) (-.f64 (cbrt.f64 (/.f64 1/4 (.f64 x x))) (cbrt.f64 (/.f64 1/4 (.f64 y x))))) (+.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 (/.f64 1/2 x))))
(.f64 (.f64 1/2 (+.f64 x y)) (/.f64 1 (*.f64 y x)))
(.f64 1/2 (/.f64 (+.f64 x y) (.f64 y x)))
(.f64 (/.f64 1 (.f64 y x)) (*.f64 1/2 (+.f64 x y)))
(.f64 (/.f64 (+.f64 x y) (.f64 y x)) 1/2)
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 2) 2))
(.f64 (.f64 1/2 (+.f64 x y)) (.f64 (/.f64 1 (.f64 y x)) 1))
(.f64 1/2 (.f64 (/.f64 (+.f64 x y) (*.f64 y x)) 1))
(*.f64 -1/2 (+.f64 (/.f64 -1 y) (/.f64 -1 x)))
(*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (sqrt.f64 1/2) y) (/.f64 (sqrt.f64 1/2) x)))
(*.f64 -1/2 (+.f64 (/.f64 -1 x) (/.f64 -1 y)))
(*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) y)))
(.f64 (neg.f64 (.f64 1/2 (+.f64 x y))) (/.f64 1 (neg.f64 (*.f64 y x))))
(.f64 (.f64 1/2 (+.f64 x y)) (/.f64 1 (neg.f64 (neg.f64 (*.f64 y x)))))
(.f64 (/.f64 (.f64 1/2 (+.f64 x y)) y) (/.f64 1 x))
(/.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)
(/.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2)) (cbrt.f64 (.f64 1/2 (+.f64 x y)))) (cbrt.f64 (*.f64 y x)))
(/.f64 (.f64 (neg.f64 (.f64 1/2 (+.f64 x y))) 1) (neg.f64 (*.f64 y x)))
(/.f64 (/.f64 (+.f64 x y) (*.f64 y x)) 2)
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2))) (cbrt.f64 (*.f64 y x)))
(/.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2))
(/.f64 (+.f64 (neg.f64 y) (.f64 (.f64 x 2) -1/2)) (.f64 (.f64 x 2) (neg.f64 y)))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 x)) (neg.f64 y)) (.f64 (cbrt.f64 (.f64 x x)) -1/2)) (.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 y)))
(/.f64 (+.f64 y (.f64 (.f64 x 2) 1/2)) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 x)) y) (.f64 (cbrt.f64 (.f64 x x)) 1/2)) (.f64 (cbrt.f64 (*.f64 x x)) y))
(/.f64 (+.f64 (.f64 -1/2 (.f64 y 2)) (neg.f64 x)) (.f64 (neg.f64 x) (.f64 y 2)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y 2)) x) (.f64 x (.f64 y 2)))
(/.f64 (+.f64 (.f64 y 2) (.f64 x 2)) (.f64 (.f64 x 2) (*.f64 y 2)))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 x)) (.f64 y 2)) (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x x)) (.f64 y 2)))
(/.f64 (+.f64 (.f64 -1/2 (cbrt.f64 (.f64 y y))) (.f64 (neg.f64 x) (cbrt.f64 (/.f64 1/8 y)))) (.f64 (neg.f64 x) (cbrt.f64 (*.f64 y y))))
(/.f64 (+.f64 (cbrt.f64 (.f64 y y)) (.f64 (.f64 x 2) (cbrt.f64 (/.f64 1/8 y)))) (.f64 (.f64 x 2) (cbrt.f64 (.f64 y y))))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 x)) (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (/.f64 1/8 y)))) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 y y))))
(/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 y 2) -1/2)) (.f64 (.f64 y 2) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 1/2 (+.f64 x y))) (neg.f64 (.f64 y x)))
(/.f64 (+.f64 x (.f64 (.f64 y 2) 1/2)) (.f64 (.f64 y 2) x))
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 y x))
(/.f64 (+.f64 (.f64 -1/2 (.f64 x 2)) (neg.f64 y)) (.f64 (neg.f64 y) (.f64 x 2)))
(/.f64 (+.f64 (.f64 1/2 (.f64 x 2)) y) (.f64 y (.f64 x 2)))
(/.f64 (+.f64 (.f64 x 2) (.f64 y 2)) (.f64 (.f64 y 2) (*.f64 x 2)))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 y)) (.f64 x 2)) (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 (.f64 y y)) (.f64 x 2)))
(/.f64 (+.f64 (.f64 -1/2 (cbrt.f64 (.f64 x x))) (.f64 (neg.f64 y) (cbrt.f64 (/.f64 1/8 x)))) (.f64 (neg.f64 y) (cbrt.f64 (*.f64 x x))))
(/.f64 (+.f64 (.f64 1/2 (cbrt.f64 (.f64 x x))) (.f64 y (cbrt.f64 (/.f64 1/8 x)))) (.f64 y (cbrt.f64 (*.f64 x x))))
(/.f64 (+.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 y 2) (cbrt.f64 (/.f64 1/8 x)))) (.f64 (.f64 y 2) (cbrt.f64 (.f64 x x))))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 y)) (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (/.f64 1/8 x)))) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (.f64 1/2 (+.f64 x y)))) (neg.f64 (neg.f64 (.f64 y x))))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) y) x)
(/.f64 (.f64 1/2 (+.f64 x y)) (neg.f64 (neg.f64 (.f64 y x))))
(/.f64 (.f64 (/.f64 (.f64 1/2 (+.f64 x y)) y) 1) x)
(/.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) (neg.f64 y)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) (neg.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (cbrt.f64 y)) (.f64 (cbrt.f64 (*.f64 y y)) x))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) x) y)
(/.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 y (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) (neg.f64 x)) y)
(/.f64 (/.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) x) (neg.f64 y))
(/.f64 (/.f64 (/.f64 (.f64 1/2 (+.f64 x y)) y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 1/2 (+.f64 x y)) y) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) y) (neg.f64 x))
(/.f64 (+.f64 (cbrt.f64 (.f64 (.f64 y y) 1/8)) (.f64 x (cbrt.f64 (/.f64 1/8 y)))) (.f64 (cbrt.f64 (*.f64 y y)) x))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 y)) (neg.f64 x)) (.f64 (cbrt.f64 (.f64 y y)) -1/2)) (.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 x)))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 y)) x) (cbrt.f64 (.f64 (.f64 y y) 1/8))) (.f64 (cbrt.f64 (*.f64 y y)) x))
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 (neg.f64 (neg.f64 (*.f64 y x))) 1))
(/.f64 (neg.f64 (.f64 1/2 (+.f64 x y))) (neg.f64 (neg.f64 (neg.f64 (.f64 y x)))))
(/.f64 (neg.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) y)) (neg.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)
(neg.f64 (.f64 -1/2 (/.f64 (+.f64 x y) (.f64 y x))))
(neg.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(neg.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)))
(neg.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (neg.f64 (.f64 y x))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3))

Outputs
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 -1/2 (/.f64 -1 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (cbrt.f64 (/.f64 1/2 y)) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (/.f64 1/2 y) 1 (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 1/2) (/.f64 (cbrt.f64 1/4) y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (/.f64 1 y) 1/2 (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (/.f64 1/2 x) 1 (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 -1/2 (/.f64 -1 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (/.f64 1 x) 1/2 (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 1/2) (/.f64 (cbrt.f64 1/4) x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (/.f64 1/8 (*.f64 y y))) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 y)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 y y))) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1/8 (*.f64 x x))) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 x x))) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(if (!=.f64 (/.f64 1/2 y) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (/.f64 1/2 y) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 (/.f64 1/4 x) (/.f64 -1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (/.f64 1/2 x) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (/.f64 1/2 x) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 (/.f64 1/4 x) (/.f64 -1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 0) (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y))) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 0) (/.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) 0) (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y))) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) 0) (/.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (-.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (+.f64 (/.f64 1/4 x) (/.f64 -1/4 y)) x)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (+.f64 (/.f64 1/4 x) (/.f64 -1/4 y)) x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (+.f64 x y))) 2) 0) (/.f64 (cbrt.f64 (.f64 1/2 (+.f64 x y))) (/.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 1/2 (+.f64 x y))) 2))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (.f64 1/2 (+.f64 x y)) 0) (/.f64 1 (/.f64 (.f64 y x) (*.f64 1/2 (+.f64 x y)))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(if (!=.f64 (.f64 1/2 (+.f64 x y)) 0) (/.f64 -1 (/.f64 (.f64 y x) (*.f64 -1/2 (+.f64 x y)))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) (/.f64 -1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2)) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 2))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (cbrt.f64 1/2) (+.f64 (/.f64 (cbrt.f64 1/4) y) (/.f64 (cbrt.f64 1/4) x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (cbrt.f64 1/2) (+.f64 (/.f64 (cbrt.f64 1/4) x) (/.f64 (cbrt.f64 1/4) y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (+.f64 (cbrt.f64 (/.f64 1/4 (.f64 x x))) (-.f64 (cbrt.f64 (/.f64 1/4 (.f64 y y))) (cbrt.f64 (/.f64 1/4 (.f64 y x))))) (+.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 y))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (+.f64 (cbrt.f64 (/.f64 1/4 (.f64 y y))) (-.f64 (cbrt.f64 (/.f64 1/4 (.f64 x x))) (cbrt.f64 (/.f64 1/4 (.f64 y x))))) (+.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (.f64 1/2 (+.f64 x y)) (/.f64 1 (*.f64 y x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 1/2 (/.f64 (+.f64 x y) (.f64 y x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (/.f64 1 (.f64 y x)) (*.f64 1/2 (+.f64 x y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (/.f64 (+.f64 x y) (.f64 y x)) 1/2)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 2) 2))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (.f64 1/2 (+.f64 x y)) (.f64 (/.f64 1 (.f64 y x)) 1))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 1/2 (.f64 (/.f64 (+.f64 x y) (*.f64 y x)) 1))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 -1/2 (+.f64 (/.f64 -1 y) (/.f64 -1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (sqrt.f64 1/2) y) (/.f64 (sqrt.f64 1/2) x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 -1/2 (+.f64 (/.f64 -1 x) (/.f64 -1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (neg.f64 (.f64 1/2 (+.f64 x y))) (/.f64 1 (neg.f64 (*.f64 y x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (.f64 1/2 (+.f64 x y)) (/.f64 1 (neg.f64 (neg.f64 (*.f64 y x)))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (/.f64 (.f64 1/2 (+.f64 x y)) y) (/.f64 1 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2)) (cbrt.f64 (.f64 1/2 (+.f64 x y)))) (cbrt.f64 (*.f64 y x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (.f64 (neg.f64 (.f64 1/2 (+.f64 x y))) 1) (neg.f64 (*.f64 y x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (+.f64 x y) (*.f64 y x)) 2)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2))) (cbrt.f64 (*.f64 y x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 (neg.f64 y) (.f64 (.f64 x 2) -1/2)) (.f64 (.f64 x 2) (neg.f64 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 x)) (neg.f64 y)) (.f64 (cbrt.f64 (.f64 x x)) -1/2)) (.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 y)))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1/8 x)) y (.f64 (cbrt.f64 (.f64 x x)) 1/2)) (.f64 (cbrt.f64 (.f64 x x)) y))
(/.f64 (+.f64 y (.f64 (.f64 x 2) 1/2)) (.f64 (.f64 x 2) y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 x)) y) (.f64 (cbrt.f64 (.f64 x x)) 1/2)) (.f64 (cbrt.f64 (*.f64 x x)) y))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1/8 x)) y (.f64 (cbrt.f64 (.f64 x x)) 1/2)) (.f64 (cbrt.f64 (.f64 x x)) y))
(/.f64 (+.f64 (.f64 -1/2 (.f64 y 2)) (neg.f64 x)) (.f64 (neg.f64 x) (.f64 y 2)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y 2)) x) (.f64 x (.f64 y 2)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 y 2) (.f64 x 2)) (.f64 (.f64 x 2) (*.f64 y 2)))
(/.f64 (.f64 2 (+.f64 x y)) (.f64 x (.f64 (.f64 2 2) y)))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 x)) (.f64 y 2)) (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x x)) (.f64 y 2)))
(/.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (/.f64 y (cbrt.f64 x))) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 y 2)))
(/.f64 (+.f64 (.f64 -1/2 (cbrt.f64 (.f64 y y))) (.f64 (neg.f64 x) (cbrt.f64 (/.f64 1/8 y)))) (.f64 (neg.f64 x) (cbrt.f64 (*.f64 y y))))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1/8 y)) x (cbrt.f64 (.f64 (.f64 y y) 1/8))) (.f64 (cbrt.f64 (.f64 y y)) x))
(/.f64 (+.f64 (cbrt.f64 (.f64 y y)) (.f64 (.f64 x 2) (cbrt.f64 (/.f64 1/8 y)))) (.f64 (.f64 x 2) (cbrt.f64 (.f64 y y))))
(.f64 (fma.f64 (cbrt.f64 y) (cbrt.f64 y) (/.f64 x (cbrt.f64 y))) (/.f64 (/.f64 1/2 x) (cbrt.f64 (.f64 y y))))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 x)) (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (/.f64 1/8 y)))) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 y y))))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1/8 y)) (cbrt.f64 (.f64 x x)) (cbrt.f64 (/.f64 (.f64 (.f64 y y) 1/8) x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2))
(/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 y 2) -1/2)) (.f64 (.f64 y 2) (neg.f64 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (neg.f64 (.f64 1/2 (+.f64 x y))) (neg.f64 (.f64 y x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 x (.f64 (.f64 y 2) 1/2)) (.f64 (.f64 y 2) x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 y x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 -1/2 (.f64 x 2)) (neg.f64 y)) (.f64 (neg.f64 y) (.f64 x 2)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 1/2 (.f64 x 2)) y) (.f64 y (.f64 x 2)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 x 2) (.f64 y 2)) (.f64 (.f64 y 2) (*.f64 x 2)))
(/.f64 (.f64 2 (+.f64 x y)) (.f64 x (.f64 (.f64 2 2) y)))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 y)) (.f64 x 2)) (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 (.f64 y y)) (.f64 x 2)))
(.f64 (fma.f64 (cbrt.f64 y) (cbrt.f64 y) (/.f64 x (cbrt.f64 y))) (/.f64 (/.f64 1/2 x) (cbrt.f64 (.f64 y y))))
(/.f64 (+.f64 (.f64 -1/2 (cbrt.f64 (.f64 x x))) (.f64 (neg.f64 y) (cbrt.f64 (/.f64 1/8 x)))) (.f64 (neg.f64 y) (cbrt.f64 (*.f64 x x))))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1/8 x)) y (.f64 (cbrt.f64 (.f64 x x)) 1/2)) (.f64 (cbrt.f64 (.f64 x x)) y))
(/.f64 (+.f64 (.f64 1/2 (cbrt.f64 (.f64 x x))) (.f64 y (cbrt.f64 (/.f64 1/8 x)))) (.f64 y (cbrt.f64 (*.f64 x x))))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1/8 x)) y (.f64 (cbrt.f64 (.f64 x x)) 1/2)) (.f64 (cbrt.f64 (.f64 x x)) y))
(/.f64 (+.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 y 2) (cbrt.f64 (/.f64 1/8 x)))) (.f64 (.f64 y 2) (cbrt.f64 (.f64 x x))))
(/.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (/.f64 y (cbrt.f64 x))) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 y 2)))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 y)) (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (/.f64 1/8 x)))) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (*.f64 x x))))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1/8 y)) (cbrt.f64 (.f64 x x)) (cbrt.f64 (/.f64 (.f64 (.f64 y y) 1/8) x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2))
(/.f64 (neg.f64 (neg.f64 (.f64 1/2 (+.f64 x y)))) (neg.f64 (neg.f64 (.f64 y x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) y) x)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (.f64 1/2 (+.f64 x y)) (neg.f64 (neg.f64 (.f64 y x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (.f64 (/.f64 (.f64 1/2 (+.f64 x y)) y) 1) x)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) (neg.f64 y)) (neg.f64 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) (neg.f64 x)) (neg.f64 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (cbrt.f64 y)) (.f64 (cbrt.f64 (*.f64 y y)) x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) x) y)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (.f64 y (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) (neg.f64 x)) y)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) x) (neg.f64 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (/.f64 (.f64 1/2 (+.f64 x y)) y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (/.f64 (.f64 1/2 (+.f64 x y)) y) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (neg.f64 (*.f64 1/2 (+.f64 x y))) y) (neg.f64 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 (cbrt.f64 (.f64 (.f64 y y) 1/8)) (.f64 x (cbrt.f64 (/.f64 1/8 y)))) (.f64 (cbrt.f64 (*.f64 y y)) x))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1/8 y)) x (cbrt.f64 (.f64 (.f64 y y) 1/8))) (.f64 (cbrt.f64 (.f64 y y)) x))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 y)) (neg.f64 x)) (.f64 (cbrt.f64 (.f64 y y)) -1/2)) (.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 x)))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1/8 y)) x (cbrt.f64 (.f64 (.f64 y y) 1/8))) (.f64 (cbrt.f64 (.f64 y y)) x))
(/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1/8 y)) x) (cbrt.f64 (.f64 (.f64 y y) 1/8))) (.f64 (cbrt.f64 (*.f64 y y)) x))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1/8 y)) x (cbrt.f64 (.f64 (.f64 y y) 1/8))) (.f64 (cbrt.f64 (.f64 y y)) x))
(/.f64 (.f64 1/2 (+.f64 x y)) (.f64 (neg.f64 (neg.f64 (*.f64 y x))) 1))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (neg.f64 (.f64 1/2 (+.f64 x y))) (neg.f64 (neg.f64 (neg.f64 (.f64 y x)))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (neg.f64 (/.f64 (*.f64 1/2 (+.f64 x y)) y)) (neg.f64 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 3)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3) 1/3)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(neg.f64 (.f64 -1/2 (/.f64 (+.f64 x y) (.f64 y x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(neg.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(neg.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(neg.f64 (/.f64 (.f64 1/2 (+.f64 x y)) (neg.f64 (.f64 y x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

localize4.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) y)
✓	6.2b	(/.f64 (/.f64 (+.f64 x y) y) x)

Compiler

Compiled 29 to 8 computations (72.4% saved)

series13.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

Compiler

Compiled 1245 to 725 computations (41.8% saved)

rewrite167.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

204×	`egg-rr`
89×	`egg-rr`

Counts

2 → 293

Calls

Call 1

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

Outputs
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Outputs

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simplify371.0ms (8.8%)

Algorithm

1×

egglog

Counts

341 → 378

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
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(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (cbrt.f64 (neg.f64 y))) (pow.f64 (cbrt.f64 (neg.f64 y)) 2))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) y)) -1)
(/.f64 (/.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) 1) (cbrt.f64 (*.f64 y y)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (*.f64 y y))))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) (cbrt.f64 y))) (neg.f64 (cbrt.f64 (*.f64 y y))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x y) y) 1)
(neg.f64 (neg.f64 (/.f64 (+.f64 x y) y)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3))

Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 1 x))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(if (!=.f64 (/.f64 1 y) 0) (/.f64 (+.f64 x y) (/.f64 x (/.f64 1 y))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (/.f64 1 y) 0) (/.f64 (+.f64 x y) (/.f64 x (/.f64 1 y))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (/.f64 (+.f64 x y) y) 0) (pow.f64 (/.f64 x (/.f64 (+.f64 x y) y)) -1) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (/.f64 (+.f64 x y) y) 0) (pow.f64 (/.f64 x (/.f64 (+.f64 x y) y)) -1) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (+.f64 x y) 0) (pow.f64 (/.f64 (*.f64 x y) (+.f64 x y)) -1) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (+.f64 x y) 0) (pow.f64 (/.f64 (.f64 x y) (+.f64 x y)) -1) (/.f64 (+.f64 x y) (.f64 x y)))
(if (!=.f64 (cbrt.f64 (+.f64 x y)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 (*.f64 x y) (cbrt.f64 (+.f64 x y)))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (cbrt.f64 (+.f64 x y)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 (.f64 x y) (cbrt.f64 (+.f64 x y)))) (/.f64 (+.f64 x y) (.f64 x y)))
(if (!=.f64 1 0) (/.f64 (/.f64 (+.f64 x y) y) x) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 1 0) (/.f64 (+.f64 x y) (.f64 x y)) (/.f64 (+.f64 x y) (.f64 x y)))
(if (!=.f64 (neg.f64 (/.f64 (+.f64 x y) y)) 0) (pow.f64 (/.f64 x (/.f64 (+.f64 x y) y)) -1) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (neg.f64 (/.f64 (+.f64 x y) y)) 0) (pow.f64 (/.f64 x (/.f64 (+.f64 x y) y)) -1) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (/.f64 (+.f64 x y) y) 0) (/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (+.f64 x y) y))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (/.f64 (+.f64 x y) y) 0) (/.f64 -1 (neg.f64 (/.f64 x (/.f64 (+.f64 x y) y)))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) 0) (/.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 x y) y))) (/.f64 (neg.f64 x) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) 0) (/.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 x y) y))) (/.f64 (neg.f64 x) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (/.f64 1 y) 0) (/.f64 (neg.f64 (+.f64 x y)) (/.f64 (neg.f64 x) (/.f64 1 y))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (/.f64 1 y) 0) (/.f64 (+.f64 x y) (/.f64 x (/.f64 1 y))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (neg.f64 (+.f64 x y)) (/.f64 (neg.f64 y) (/.f64 1 x))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (+.f64 x y) (/.f64 y (/.f64 1 x))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (+.f64 x y) 0) (/.f64 (/.f64 1 y) (/.f64 x (+.f64 x y))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (+.f64 x y) 0) (/.f64 (/.f64 1 y) (/.f64 x (+.f64 x y))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (/.f64 (+.f64 x y) (cbrt.f64 (.f64 y y))) 0) (/.f64 (cbrt.f64 (/.f64 1 y)) (/.f64 x (/.f64 (+.f64 x y) (cbrt.f64 (.f64 y y))))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (/.f64 (+.f64 x y) (cbrt.f64 (.f64 y y))) 0) (/.f64 (cbrt.f64 (/.f64 1 y)) (/.f64 x (/.f64 (+.f64 x y) (cbrt.f64 (.f64 y y))))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) (/.f64 x (cbrt.f64 (/.f64 (+.f64 x y) y)))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) (/.f64 x (cbrt.f64 (/.f64 (+.f64 x y) y)))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (/.f64 -1 y) 0) (/.f64 (neg.f64 (+.f64 x y)) (/.f64 x (/.f64 -1 y))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (/.f64 -1 y) 0) (/.f64 (+.f64 x y) (/.f64 x (/.f64 1 y))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (+.f64 x y) (/.f64 y (/.f64 1 x))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (+.f64 x y) (/.f64 y (/.f64 1 x))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (+.f64 x y) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 x y)) (+.f64 x y))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (+.f64 x y) 0) (/.f64 -1 (neg.f64 (/.f64 (.f64 x y) (+.f64 x y)))) (/.f64 (+.f64 x y) (.f64 x y)))
(if (!=.f64 (neg.f64 (+.f64 x y)) 0) (pow.f64 (/.f64 (*.f64 x y) (+.f64 x y)) -1) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (neg.f64 (+.f64 x y)) 0) (pow.f64 (/.f64 (.f64 x y) (+.f64 x y)) -1) (/.f64 (+.f64 x y) (.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (/.f64 (neg.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (.f64 x y) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (+.f64 x y) (.f64 x y)))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (/.f64 (neg.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) 2))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (/.f64 (neg.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) 2))) (/.f64 (+.f64 x y) (.f64 x y)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2))) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (*.f64 x y) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2))) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (.f64 x y) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (+.f64 x y) (.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) (/.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) (/.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (*.f64 x y) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 0) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (.f64 x y) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))) (/.f64 (+.f64 x y) (.f64 x y)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) (/.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) (/.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x y) y))) (/.f64 (neg.f64 x) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) (/.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))) (/.f64 (+.f64 x y) (*.f64 x y)))
(if (!=.f64 (/.f64 -1 y) 0) (/.f64 (+.f64 x y) (/.f64 x (/.f64 1 y))) (/.f64 (/.f64 (+.f64 x y) y) x))
(if (!=.f64 (/.f64 -1 y) 0) (/.f64 (+.f64 x y) (/.f64 x (/.f64 1 y))) (/.f64 (+.f64 x y) (*.f64 x y)))
(-.f64 0 (neg.f64 (/.f64 (/.f64 (+.f64 x y) y) x)))
(/.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (/.f64 0 (neg.f64 x)) (neg.f64 (/.f64 (/.f64 (+.f64 x y) y) x)))
(+.f64 (/.f64 0 (neg.f64 x)) (/.f64 (+.f64 x y) (*.f64 x y)))
(-.f64 (/.f64 0 (neg.f64 (*.f64 x y))) (neg.f64 (/.f64 (/.f64 (+.f64 x y) y) x)))
(+.f64 (/.f64 0 (neg.f64 (.f64 x y))) (/.f64 (+.f64 x y) (.f64 x y)))
(*.f64 1 (/.f64 (/.f64 (+.f64 x y) y) x))
(/.f64 (+.f64 x y) (*.f64 x y))
(*.f64 (/.f64 (/.f64 (+.f64 x y) y) x) 1)
(/.f64 (+.f64 x y) (*.f64 x y))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 1 x))
(/.f64 (+.f64 x y) (*.f64 x y))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 x y) y))
(/.f64 (+.f64 x y) (*.f64 x y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) x))
(/.f64 (+.f64 x y) (*.f64 x y))
(.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) (/.f64 1 (.f64 (cbrt.f64 (*.f64 x x)) y)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) y))
(.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 (.f64 x x))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (+.f64 x y) y)) (cbrt.f64 (.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y))) y) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y))) y) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) x) (cbrt.f64 (/.f64 (+.f64 x y) y)))
(/.f64 (+.f64 x y) (*.f64 x y))
(.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 1 x)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (+.f64 x y) y)) (cbrt.f64 (.f64 x x)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (*.f64 x x)) y)) (/.f64 (+.f64 x y) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) y))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x y) y) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x y) y) x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x y) y) x))) 2) 2))
(.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x y))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x y)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) (*.f64 x y)))) 2) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x y) y) x) 2)) (cbrt.f64 (/.f64 (+.f64 x y) y))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 x y)) 2) (/.f64 (+.f64 x y) y))) (cbrt.f64 (/.f64 1 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x y) y) x) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x y) y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x y) y) x))) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x y)) 2) (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) (*.f64 x y)))) 2))
(*.f64 (/.f64 (/.f64 (+.f64 x y) y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(.f64 (/.f64 (+.f64 x y) (.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(*.f64 (/.f64 (+.f64 x y) x) (/.f64 1 y))
(/.f64 (+.f64 x y) (*.f64 x y))
(.f64 (.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (+.f64 x y) y))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))
(/.f64 (+.f64 x y) (*.f64 x y))
(.f64 (.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 y))) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x y)) (cbrt.f64 (.f64 y y))) x)
(.f64 (.f64 (/.f64 1 x) (cbrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y))) y) x)
(*.f64 (neg.f64 (/.f64 (+.f64 x y) x)) (/.f64 -1 y))
(/.f64 (+.f64 x y) (*.f64 x y))
(.f64 (+.f64 x y) (.f64 (/.f64 1 (*.f64 x y)) 1))
(/.f64 (+.f64 x y) (*.f64 x y))
(.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) (.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y) 1))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y))) y) x)
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(/.f64 (+.f64 x y) y)
(.f64 (/.f64 (+.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 (/.f64 1 y)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x y)) (cbrt.f64 (.f64 y y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y) (cbrt.f64 (+.f64 x y)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y))) y)
(*.f64 (/.f64 -1 y) (neg.f64 (+.f64 x y)))
(/.f64 (+.f64 x y) y)
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2) (cbrt.f64 (/.f64 (+.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (/.f64 1 y)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2) (+.f64 x y))) (cbrt.f64 (/.f64 1 y)))
(.f64 (.f64 (/.f64 1 y) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y))) y)
(*.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 1 y)) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))) 2) (cbrt.f64 (/.f64 (+.f64 x y) y))))
(/.f64 (+.f64 x y) y)
(.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (+.f64 x y)))
(/.f64 (+.f64 x y) y)
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) y))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) y))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) (pow.f64 (/.f64 (+.f64 x y) y) 2))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 y)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y))) y)
(.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 y y))) 1))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x y)) (cbrt.f64 (.f64 y y)))
(.f64 (cbrt.f64 (+.f64 x y)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y) 1))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y))) y)
(.f64 (neg.f64 (+.f64 x y)) (.f64 (/.f64 -1 y) 1))
(/.f64 (+.f64 x y) y)
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) y)))
(.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 -1 y)))
(.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (.f64 (pow.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) 2) (/.f64 -1 y)))
(/.f64 (+.f64 x y) y)
(.f64 (cbrt.f64 (+.f64 x y)) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (/.f64 -1 y)))
(.f64 (cbrt.f64 (+.f64 x y)) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 -1 y))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x y) y))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))))
(/.f64 (+.f64 x y) y)
(*.f64 (neg.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 x y) y)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))
(neg.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 x y) y))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))
(/.f64 (+.f64 x y) y)
(*.f64 (neg.f64 -1) (/.f64 (+.f64 x y) y))
(/.f64 (+.f64 x y) y)
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))))
(/.f64 (+.f64 x y) y)
(.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (.f64 y y))))
(/.f64 (+.f64 x y) y)
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (.f64 y y))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y))) y)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 (cbrt.f64 (+.f64 x y)) y))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y))) y)
(.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (.f64 y y))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y))) y)
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (+.f64 x y) (cbrt.f64 y)))
(/.f64 (+.f64 x y) y)
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 (/.f64 -1 y) 1))
(/.f64 (+.f64 x y) y)
(.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) 1) (/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (.f64 y y))) 1))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x y)) (cbrt.f64 (.f64 y y)))
(*.f64 -1 (neg.f64 (/.f64 (+.f64 x y) y)))
(/.f64 (+.f64 x y) y)
(*.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 x y) y))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))))
(neg.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 x y) y))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))) 2))
(/.f64 (+.f64 x y) y)
(/.f64 (+.f64 x y) y)
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 y))
(/.f64 (+.f64 x y) y)
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (+.f64 x y) y)
(/.f64 (/.f64 (+.f64 x y) y) 1)
(/.f64 (+.f64 x y) y)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) (cbrt.f64 (neg.f64 (+.f64 x y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2) (neg.f64 (+.f64 x y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2)) (cbrt.f64 (+.f64 x y))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2) (+.f64 x y))) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (.f64 y y)))
(/.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 x y) y) (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (.f64 y y)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x y)) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (+.f64 x y) y)
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))) (cbrt.f64 (neg.f64 y)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2) (neg.f64 (+.f64 x y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) 1) (cbrt.f64 (.f64 y y)))
(/.f64 (+.f64 x y) y)
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (cbrt.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (+.f64 x y) y)
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (cbrt.f64 (neg.f64 y))) (pow.f64 (cbrt.f64 (neg.f64 y)) 2))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) y)) -1)
(/.f64 (+.f64 x y) y)
(/.f64 (/.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) 1) (cbrt.f64 (*.f64 y y)))
(/.f64 (+.f64 x y) y)
(/.f64 (/.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) (.f64 (cbrt.f64 (.f64 y (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (*.f64 y y))))
(/.f64 (cbrt.f64 (.f64 (neg.f64 (+.f64 x y)) (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (.f64 (neg.f64 y) (*.f64 y y))))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) (cbrt.f64 y))) (neg.f64 (cbrt.f64 (*.f64 y y))))
(/.f64 (+.f64 x y) y)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) 3)
(/.f64 (+.f64 x y) y)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3) 1/3)
(/.f64 (+.f64 x y) y)
(pow.f64 (/.f64 (+.f64 x y) y) 1)
(/.f64 (+.f64 x y) y)
(neg.f64 (neg.f64 (/.f64 (+.f64 x y) y)))
(/.f64 (+.f64 x y) y)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3))
(/.f64 (+.f64 x y) y)

eval124.0ms (2.9%)

Compiler: Compiled 9708 to 4206 computations (56.7% saved)

prune105.0ms (2.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	506	0	506
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	506	4	510

Error

Counts

510 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.6b	(/.f64 (/.f64 (/.f64 (+.f64 x y) y) x) 2)
✓	33.7b	(/.f64 1/2 y)
✓	30.1b	(/.f64 1/2 x)
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes15.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Calls

3 calls:

5.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))`

Compiler

Compiled 50 to 31 computations (38% saved)

regimes35.0ms (0.8%)

Accuracy

Total -47.3b remaining (-324.7%)

Threshold costs -47.3b (-324.7%)

Counts

2 → 5

Calls

Call 1

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

Outputs
(/.f64 1/2 x)
(/.f64 1/2 y)
(/.f64 1/2 x)
(/.f64 1/2 y)
(/.f64 1/2 x)

Calls

2 calls:

18.0ms	y
16.0ms	x

Results

Error	Segments	Branch
15.4b	3	`x`
14.6b	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch54.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	5.4673232794984776e+166	5.604541758627498e+172
11.0ms	1.3533403940538648e+72	5.419191174855056e+72
12.0ms	8.570557107119779e-6	0.0004353995235942947
14.0ms	-1.5357862619470953e-73	-4.600437110247766e-76

Results

47.0ms

480×

body

256

valid

Compiler

Compiled 376 to 311 computations (17.3% saved)

simplify1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 47 to 35 computations (25.5% saved)

soundness0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

end29.0ms (0.7%)

Compiler: Compiled 43 to 31 computations (27.9% saved)

Details

analyze153.0ms (3.6%)

sample800.0ms (19%)

preprocess218.0ms (5.2%)

simplify91.0ms (2.2%)

eval1.0ms (0%)

prune12.0ms (0.3%)

localize24.0ms (0.6%)

series29.0ms (0.7%)

rewrite155.0ms (3.7%)

simplify494.0ms (11.8%)

eval97.0ms (2.3%)

prune42.0ms (1%)

localize8.0ms (0.2%)

series11.0ms (0.3%)

rewrite117.0ms (2.8%)

simplify1.0s (24.3%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

localize9.0ms (0.2%)

series13.0ms (0.3%)

rewrite167.0ms (4%)

simplify371.0ms (8.8%)

eval124.0ms (2.9%)

prune105.0ms (2.5%)

regimes15.0ms (0.4%)

regimes35.0ms (0.8%)

bsearch54.0ms (1.3%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end29.0ms (0.7%)

Profiling