Details

analyze87.0ms (2.5%)

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
40.6%	40.6%	59.3%	0.1%	0%	0%	0%	7
46%	45.3%	53.1%	0.1%	1.6%	0%	0%	8
65.3%	63.2%	33.6%	0.1%	3.1%	0%	0%	9
69.5%	66%	28.9%	0.1%	5.1%	0%	0%	10
80.9%	75.1%	17.8%	0.1%	7%	0%	0%	11
83.6%	76.6%	15%	0.1%	8.3%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample1.1s (31.7%)

Results

1.1s	8256×	body	256	valid
52.0ms	406×	body	256	infinite

Bogosity

preprocess180.0ms (5.1%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify81.0ms (2.3%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune2.0ms (0%)

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

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series15.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 735 to 425 computations (42.2% saved)

rewrite151.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

123× egg-rr

Counts

1 → 123

Calls

Call 1

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

Outputs
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Outputs

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

simplify624.0ms (17.7%)

Algorithm

1×

egglog

Counts

147 → 134

Calls

Call 1

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

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

eval63.0ms (1.8%)

Compiler: Compiled 2239 to 1082 computations (51.7% saved)

prune38.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	3	135

Error

Counts

135 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.7b	(/.f64 (*.f64 1/2 x) y)
▶	0b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
	29.8b	1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize14.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series24.0ms (0.7%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(*.f64 1/2 (/.f64 x y))
3.0ms	x	@	inf	(*.f64 1/2 (/.f64 x y))
2.0ms	y	@	inf	(*.f64 1/2 (/.f64 x y))
2.0ms	y	@	0	(*.f64 1/2 (/.f64 x y))
2.0ms	x	@	-inf	(*.f64 1/2 (/.f64 x y))

Compiler

Compiled 15 to 15 computations (0% saved)

rewrite189.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

214× egg-rr

Counts

1 → 214

Calls

Call 1

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

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (cbrt.f64 (neg.f64 y))) (neg.f64 (cbrt.f64 (*.f64 8 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1/8 y))) (pow.f64 (/.f64 (*.f64 1/2 x) y) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 3) (*.f64 y y)))) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 2) (*.f64 x (cbrt.f64 (/.f64 1/8 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/2 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (neg.f64 (/.f64 x y)) (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (cbrt.f64 1/4) (neg.f64 (/.f64 x y))) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 (/.f64 -1 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (/.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (neg.f64 (/.f64 x y)) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 1/2 x) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1 y) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (neg.f64 (/.f64 x y)) (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (neg.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 1/2 x) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (neg.f64 (/.f64 x y)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1/2 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 1/8 y)))))))

simplify485.0ms (13.8%)

Algorithm

1×

egglog

Counts

214 → 292

Calls

Call 1

Inputs
(if (!=.f64 1/2 0) (/.f64 (.f64 1/2 x) y) (/.f64 (.f64 1/2 x) y))
(if (!=.f64 (cbrt.f64 (.f64 x x)) 0) (/.f64 (cbrt.f64 x) (/.f64 (/.f64 y (cbrt.f64 (.f64 x x))) 1/2)) (/.f64 (*.f64 1/2 x) y))
(if (!=.f64 (.f64 (sqrt.f64 1/2) x) 0) (/.f64 (sqrt.f64 1/2) (/.f64 y (.f64 (sqrt.f64 1/2) x))) (/.f64 (*.f64 1/2 x) y))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) 0) (/.f64 (cbrt.f64 (.f64 1/2 x)) (/.f64 y (cbrt.f64 (.f64 (.f64 x x) 1/4)))) (/.f64 (.f64 1/2 x) y))
(if (!=.f64 (.f64 (cbrt.f64 1/4) x) 0) (/.f64 (cbrt.f64 1/2) (/.f64 y (.f64 (cbrt.f64 1/4) x))) (/.f64 (*.f64 1/2 x) y))
(if (!=.f64 1 0) (/.f64 (.f64 1/2 x) y) (/.f64 (.f64 1/2 x) y))
(if (!=.f64 2 0) (/.f64 (.f64 1/2 x) y) (/.f64 (.f64 1/2 x) y))
(if (!=.f64 -1 0) (/.f64 (.f64 1/2 x) y) (/.f64 (.f64 1/2 x) y))
(if (!=.f64 (/.f64 (.f64 1/2 x) y) 0) (/.f64 1 (pow.f64 (/.f64 (.f64 1/2 x) y) -1)) (/.f64 (*.f64 1/2 x) y))
(if (!=.f64 x 0) (/.f64 1/2 (/.f64 y x)) (/.f64 (*.f64 1/2 x) y))
(if (!=.f64 (neg.f64 x) 0) (/.f64 1/2 (/.f64 y x)) (/.f64 (*.f64 1/2 x) y))
(if (!=.f64 (.f64 1/2 x) 0) (/.f64 1/2 (/.f64 y x)) (/.f64 (.f64 1/2 x) y))
(+.f64 (/.f64 (/.f64 (.f64 1/2 x) y) 2) (/.f64 (/.f64 (.f64 1/2 x) y) 2))
(+.f64 (.f64 1/2 (/.f64 (.f64 1/2 x) y)) (.f64 1/2 (/.f64 (.f64 1/2 x) y)))
(-.f64 (/.f64 0 (+.f64 y y)) (/.f64 (neg.f64 x) (+.f64 y y)))
(-.f64 0 (/.f64 (/.f64 x y) -2))
(-.f64 (/.f64 (/.f64 0 y) 2) (/.f64 (/.f64 x y) -2))
(-.f64 (/.f64 0 y) (/.f64 (/.f64 x y) -2))
(-.f64 (/.f64 0 (*.f64 y -2)) (/.f64 (/.f64 x y) -2))
(.f64 (/.f64 (.f64 x (cbrt.f64 (/.f64 1/8 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y y)) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 1/8 y)) x) (cbrt.f64 (/.f64 1 (*.f64 y y))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 1/2) (pow.f64 (/.f64 (.f64 1/2 x) y) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 1/2 x) y))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2)) (pow.f64 (/.f64 (*.f64 1/2 x) y) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 2) x)) (cbrt.f64 (/.f64 1/2 y)))
(.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 y y))) (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 y)))
(.f64 (cbrt.f64 (/.f64 (.f64 1/2 x) y)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2)) (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 1/2 x) y)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 2))) 2))
(.f64 (.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 1/4))) (cbrt.f64 (cbrt.f64 1/16)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2))) 2) (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))
(.f64 1 (/.f64 (.f64 1/2 x) y))
(.f64 (/.f64 (.f64 1/2 x) y) 1)
(.f64 (/.f64 (cbrt.f64 1/2) y) (.f64 (cbrt.f64 1/4) x))
(.f64 (/.f64 x (cbrt.f64 (neg.f64 y))) (/.f64 -1/2 (cbrt.f64 (.f64 y y))))
(.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 (/.f64 1/8 (.f64 y y))))
(.f64 (/.f64 -1/2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (neg.f64 (.f64 y y)))))
(.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 y)) (/.f64 (.f64 (sqrt.f64 1/2) x) (cbrt.f64 (*.f64 y y))))
(.f64 (/.f64 (sqrt.f64 1/2) y) (.f64 (sqrt.f64 1/2) x))
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(.f64 (cbrt.f64 (/.f64 1/2 y)) (/.f64 (.f64 (cbrt.f64 1/4) x) (cbrt.f64 (*.f64 y y))))
(.f64 (cbrt.f64 (/.f64 1/2 (.f64 y y))) (/.f64 (*.f64 (cbrt.f64 1/4) x) (cbrt.f64 y)))
(.f64 (cbrt.f64 (/.f64 (.f64 1/8 x) (.f64 y y))) (cbrt.f64 (/.f64 (.f64 x x) y)))
(.f64 (cbrt.f64 (.f64 1/2 x)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) y))
(.f64 (cbrt.f64 (/.f64 (.f64 1/2 x) (.f64 y y))) (cbrt.f64 (/.f64 (.f64 (*.f64 x x) 1/4) y)))
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(*.f64 (cbrt.f64 (/.f64 (/.f64 x y) 8)) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))
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(.f64 (/.f64 1 y) (.f64 1/2 x))
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(.f64 (cbrt.f64 (.f64 1/8 x)) (/.f64 (cbrt.f64 (*.f64 x x)) y))
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(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (*.f64 (/.f64 x y) (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (.f64 (/.f64 x y) (sqrt.f64 1/2)) (cbrt.f64 2)))
(.f64 (cbrt.f64 x) (/.f64 (/.f64 (cbrt.f64 (.f64 x x)) y) 2))
(.f64 (cbrt.f64 (/.f64 1 y)) (/.f64 (/.f64 x (cbrt.f64 (.f64 y y))) 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1/2 y)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))) 2))
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(.f64 (.f64 x (cbrt.f64 (/.f64 1/8 y))) (cbrt.f64 (/.f64 1 (*.f64 y y))))
(.f64 (cbrt.f64 (/.f64 1 y)) (/.f64 (.f64 1/2 x) (cbrt.f64 (*.f64 y y))))
(.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (*.f64 x (cbrt.f64 (/.f64 1/8 y))))
(.f64 (.f64 (cbrt.f64 x) (/.f64 1/2 y)) (cbrt.f64 (*.f64 x x)))
(*.f64 -1/2 (neg.f64 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 x y) 1/2)
(.f64 (cbrt.f64 (/.f64 x y)) (.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 1/2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 1/2) (cbrt.f64 (/.f64 x y)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 -1 y) 2))
(*.f64 (neg.f64 x) (/.f64 -1/2 y))
(.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 x y) 8)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2))
(.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 x y) 8)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) 2) 2))
(.f64 (.f64 (.f64 (/.f64 x y) (sqrt.f64 1/2)) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (cbrt.f64 1/2)))) (cbrt.f64 (cbrt.f64 1/4)))
(.f64 (.f64 (*.f64 (/.f64 x y) (sqrt.f64 1/2)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (cbrt.f64 1/4) (/.f64 x y)) (cbrt.f64 1/2))
(.f64 (.f64 (*.f64 (cbrt.f64 1/4) (/.f64 x y)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 (cbrt.f64 1/4) (/.f64 x y)) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/4)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (.f64 (cbrt.f64 (*.f64 (/.f64 x y) (cbrt.f64 (/.f64 x y)))) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 1 y) y)) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) x)) (*.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
(.f64 (cbrt.f64 (/.f64 (cbrt.f64 (.f64 x x)) y)) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x x)) 2) y)) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x x)) 2) (.f64 y y))) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) -1) (.f64 (cbrt.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 y y)) 2))) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
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(.f64 (cbrt.f64 (/.f64 x (cbrt.f64 (.f64 y y)))) (.f64 (cbrt.f64 (/.f64 x (pow.f64 (cbrt.f64 (.f64 y y)) 2))) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
(.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 (*.f64 x x) y)) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
(*.f64 (neg.f64 (/.f64 x y)) -1/2)
(.f64 (/.f64 (/.f64 (.f64 1/2 x) y) 2) 2)
(*.f64 x (/.f64 1/2 y))
(.f64 (/.f64 (.f64 1/2 x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 1 y)))
(.f64 (/.f64 (/.f64 x (cbrt.f64 (.f64 y y))) 2) (cbrt.f64 (/.f64 1 y)))
(.f64 (/.f64 (.f64 x (cbrt.f64 (/.f64 1/8 y))) (cbrt.f64 y)) (cbrt.f64 (/.f64 1 y)))
(.f64 (/.f64 (/.f64 x (cbrt.f64 (neg.f64 (.f64 y y)))) 2) (cbrt.f64 (/.f64 -1 y)))
(.f64 (/.f64 (.f64 -1/2 x) (cbrt.f64 y)) (/.f64 -1 (cbrt.f64 (*.f64 y y))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (sqrt.f64 1/2))) (cbrt.f64 (.f64 (/.f64 x y) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) (cbrt.f64 1/2))) (cbrt.f64 (.f64 (cbrt.f64 1/4) (pow.f64 (/.f64 (.f64 1/2 x) y) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (.f64 (/.f64 x y) (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/8 y))) (cbrt.f64 (.f64 (/.f64 x (cbrt.f64 (.f64 y y))) (pow.f64 (/.f64 (.f64 1/2 x) y) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (cbrt.f64 (/.f64 (.f64 1/2 x) y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (cbrt.f64 (/.f64 x y)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 1/2)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 x y) 8))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (pow.f64 (/.f64 (*.f64 1/2 x) y) 2))))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) (sqrt.f64 1/2))) (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (cbrt.f64 1/2))) (cbrt.f64 (.f64 (cbrt.f64 1/4) (/.f64 x y))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 2) (cbrt.f64 (/.f64 (/.f64 x y) 8)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2))
(.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 (/.f64 1 y) (pow.f64 (/.f64 (.f64 1/2 x) y) 2))))
(.f64 (cbrt.f64 (.f64 (.f64 (/.f64 x y) (cbrt.f64 1/2)) (pow.f64 (/.f64 (.f64 1/2 x) y) 2))) (cbrt.f64 (cbrt.f64 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (cbrt.f64 (/.f64 1/8 y)))) (cbrt.f64 (/.f64 x (cbrt.f64 (.f64 y y)))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (.f64 (/.f64 x y) (sqrt.f64 1/2)))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (/.f64 1/2 y) (pow.f64 (/.f64 (*.f64 1/2 x) y) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2))) (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))))
(.f64 (.f64 (/.f64 x y) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (/.f64 x y) (sqrt.f64 1/2)))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 x y) 8)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) (cbrt.f64 (*.f64 (/.f64 x y) (cbrt.f64 (/.f64 x y)))))
(.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 1/4) (/.f64 x y))))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (/.f64 x y)))
(.f64 (cbrt.f64 (/.f64 1/8 y)) (/.f64 x (cbrt.f64 (.f64 y y))))
(.f64 (.f64 (/.f64 x y) (cbrt.f64 1/2)) (cbrt.f64 1/4))
(.f64 (/.f64 x (cbrt.f64 (.f64 y y))) (cbrt.f64 (/.f64 1/8 y)))
(.f64 (cbrt.f64 1/4) (.f64 (/.f64 x y) (cbrt.f64 1/2)))
(*.f64 (/.f64 1/2 y) x)
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (*.f64 (cbrt.f64 1/4) (/.f64 x y)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 x y) 8)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) 1) (cbrt.f64 (.f64 (/.f64 x y) (cbrt.f64 (/.f64 x y)))))
(.f64 (.f64 (*.f64 (cbrt.f64 1/4) (/.f64 x y)) (cbrt.f64 (cbrt.f64 1/4))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) (cbrt.f64 (/.f64 x y)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (cbrt.f64 (/.f64 (/.f64 x y) 8))))
(*.f64 (/.f64 (/.f64 x y) -2) -1)
(*.f64 -1 (/.f64 (/.f64 x y) -2))
(.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 1/4) (/.f64 x y)) (pow.f64 (/.f64 (.f64 1/2 x) y) 2))))
(/.f64 (*.f64 (/.f64 x y) (sqrt.f64 1/2)) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 1/4) (/.f64 x y)) (cbrt.f64 2))
(/.f64 (*.f64 (/.f64 x y) -1/2) -1)
(/.f64 (*.f64 (/.f64 x y) -1) -2)
(/.f64 (/.f64 (.f64 -1/2 x) (cbrt.f64 (cbrt.f64 y))) (neg.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 y y)) (.f64 y y)))))
(/.f64 (/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y y)) 2))))
(/.f64 (neg.f64 (/.f64 (.f64 x (cbrt.f64 (/.f64 1/8 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (neg.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y y)) 2))))
(/.f64 (neg.f64 (/.f64 (*.f64 1/2 x) y)) -1)
(/.f64 (/.f64 (/.f64 x (cbrt.f64 (neg.f64 (*.f64 y y)))) 2) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (.f64 -1/2 x) (cbrt.f64 y)) (cbrt.f64 (neg.f64 (.f64 y y))))
(/.f64 (*.f64 1/2 x) y)
(/.f64 (/.f64 (.f64 x (cbrt.f64 (/.f64 1/8 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y y)) 2)))
(/.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 (.f64 8 (.f64 y y))))
(/.f64 (.f64 x (cbrt.f64 (/.f64 1/8 y))) (cbrt.f64 (.f64 y y)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/8 y)) x) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 (.f64 1/2 x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) 2) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/8 y))) (cbrt.f64 y)) (cbrt.f64 y))
(/.f64 (/.f64 x y) 2)
(/.f64 (*.f64 -1/2 x) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 y -2))
(/.f64 (/.f64 (*.f64 1/2 x) y) 1)
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 1/2 x) y)) (cbrt.f64 (.f64 (/.f64 (.f64 1/2 x) y) (*.f64 1/2 x)))) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 1/2 x) y)) (.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 1/2 x) y)) (cbrt.f64 (.f64 (.f64 x x) 1/4))) (cbrt.f64 (*.f64 y y)))
(/.f64 (.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 y)) (.f64 (sqrt.f64 1/2) x)) (cbrt.f64 (*.f64 y y)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (.f64 1/8 x))) (cbrt.f64 y))
(/.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 y 1/8)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (.f64 (cbrt.f64 x) -1/2)) (cbrt.f64 (neg.f64 y)))
(/.f64 (.f64 (cbrt.f64 (.f64 (/.f64 x y) x)) (cbrt.f64 (/.f64 (/.f64 x y) 8))) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x x) y)) (cbrt.f64 (/.f64 (/.f64 x y) 8))) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (.f64 x x))) (cbrt.f64 (/.f64 (/.f64 x y) 8))) (cbrt.f64 (neg.f64 (*.f64 y y))))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (/.f64 (/.f64 x y) 8))) (cbrt.f64 (*.f64 y y)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x x) (cbrt.f64 (.f64 y y)))) (cbrt.f64 (/.f64 (/.f64 x y) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y y)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (/.f64 x y) (neg.f64 x))) (cbrt.f64 (/.f64 (/.f64 x y) 8))) (cbrt.f64 (neg.f64 y)))
(/.f64 (.f64 (sqrt.f64 1/2) (/.f64 (.f64 (sqrt.f64 1/2) x) (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))) 2)) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))) 2)) (cbrt.f64 (cbrt.f64 (neg.f64 y))))
(/.f64 (/.f64 (.f64 -1/2 x) (.f64 (cbrt.f64 (neg.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y y)) 2)))
(/.f64 (/.f64 (/.f64 x y) -2) -1)
(/.f64 (/.f64 (.f64 -1/2 x) (cbrt.f64 (.f64 y y))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (/.f64 (neg.f64 y) (sqrt.f64 1/2)))
(/.f64 (*.f64 (sqrt.f64 1/2) x) (/.f64 y (sqrt.f64 1/2)))
(/.f64 x (/.f64 (*.f64 y -2) -1))
(/.f64 (*.f64 (cbrt.f64 1/4) x) (/.f64 y (cbrt.f64 1/2)))
(/.f64 (*.f64 (cbrt.f64 1/4) (neg.f64 x)) (/.f64 (neg.f64 y) (cbrt.f64 1/2)))
(/.f64 (neg.f64 x) (/.f64 (*.f64 y -2) 1))
(/.f64 (/.f64 x (cbrt.f64 (neg.f64 y))) (.f64 2 (cbrt.f64 (neg.f64 (.f64 y y)))))
(/.f64 (/.f64 x (cbrt.f64 (neg.f64 (.f64 y y)))) (.f64 2 (cbrt.f64 (neg.f64 y))))
(/.f64 (neg.f64 (/.f64 (.f64 1/2 x) (cbrt.f64 (.f64 y y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/8 y))) (cbrt.f64 y))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (/.f64 x (cbrt.f64 (neg.f64 (*.f64 y y)))) 2)) (cbrt.f64 y))
(/.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 1/8 y)) x)) (cbrt.f64 (neg.f64 (.f64 y y))))
(/.f64 (neg.f64 (/.f64 x y)) -2)
(/.f64 (/.f64 x (cbrt.f64 (neg.f64 y))) (neg.f64 (cbrt.f64 (.f64 8 (.f64 y y)))))
(/.f64 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 (/.f64 1/8 y))) (pow.f64 (/.f64 (*.f64 1/2 x) y) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(/.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (.f64 1/2 x) 3) (.f64 y y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (*.f64 x (cbrt.f64 (/.f64 1/8 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(/.f64 x (+.f64 y y))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3) 1/3)
(pow.f64 (/.f64 (*.f64 1/2 x) y) 1)
(neg.f64 (.f64 (.f64 (neg.f64 (/.f64 x y)) (cbrt.f64 1/2)) (cbrt.f64 1/4)))
(neg.f64 (.f64 (.f64 (cbrt.f64 1/4) (neg.f64 (/.f64 x y))) (cbrt.f64 1/2)))
(neg.f64 (*.f64 x (/.f64 (/.f64 -1 y) 2)))
(neg.f64 (*.f64 x (/.f64 -1/2 y)))
(neg.f64 (.f64 -1 (/.f64 (.f64 1/2 x) y)))
(neg.f64 (.f64 (.f64 (neg.f64 (/.f64 x y)) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(neg.f64 (.f64 (.f64 1/2 x) (/.f64 -1 y)))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 1/2 y)))
(neg.f64 (.f64 (/.f64 -1 y) (.f64 1/2 x)))
(neg.f64 (/.f64 (/.f64 x y) -2))
(neg.f64 (.f64 (cbrt.f64 1/4) (.f64 (neg.f64 (/.f64 x y)) (cbrt.f64 1/2))))
(neg.f64 (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (neg.f64 (/.f64 x y)))))
(neg.f64 (.f64 (/.f64 (.f64 1/2 x) y) -1))
(neg.f64 (.f64 (sqrt.f64 1/2) (.f64 (neg.f64 (/.f64 x y)) (sqrt.f64 1/2))))
(neg.f64 (*.f64 (/.f64 1/2 y) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y y)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3))
(cbrt.f64 (.f64 (/.f64 (pow.f64 x 3) (.f64 y y)) (/.f64 1/8 y)))

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

localize9.0ms (0.3%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

eval128.0ms (3.6%)

Compiler: Compiled 4812 to 2994 computations (37.8% saved)

prune46.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	292	3	295

Error

Counts

295 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(/.f64 (*.f64 1/2 x) y)
✓	0b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
	29.8b	1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(/.f64 (*.f64 1/2 x) y)
✓	0b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
	29.8b	1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(/.f64 (*.f64 1/2 x) y)
✓	0b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
	29.8b	1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes12.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
4.0ms	x
3.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 37 to 23 computations (37.8% saved)

regimes30.0ms (0.9%)

Accuracy

Total -48.2b remaining (-357.6%)

Threshold costs -48.2b (-357.6%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
13.0ms	y

Results

Error	Segments	Branch
17.8b	5	`x`
13.5b	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch115.0ms (3.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
10.0ms	6.0017815896369516e+147	4.8815731232463966e+148
20.0ms	5.297956696642931e+127	2.360428091437564e+134
61.0ms	0.004315184559162007	1.0395985519211155
23.0ms	-1.9541767531824765e+87	-2.361670653588131e+75

Results

78.0ms

512×

body

256

valid

Compiler

Compiled 398 to 329 computations (17.3% saved)

simplify2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 43 to 33 computations (23.3% saved)

soundness0.0ms (0%)

end100.0ms (2.8%)

Compiler: Compiled 39 to 29 computations (25.6% saved)

Details

analyze87.0ms (2.5%)

sample1.1s (31.7%)

preprocess180.0ms (5.1%)

simplify81.0ms (2.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize7.0ms (0.2%)

series15.0ms (0.4%)

rewrite151.0ms (4.3%)

simplify624.0ms (17.7%)

eval63.0ms (1.8%)

prune38.0ms (1.1%)

localize14.0ms (0.4%)

series24.0ms (0.7%)

rewrite189.0ms (5.4%)

simplify485.0ms (13.8%)

localize9.0ms (0.3%)

eval128.0ms (3.6%)

prune46.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes12.0ms (0.4%)

regimes30.0ms (0.9%)

bsearch115.0ms (3.3%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end100.0ms (2.8%)

Profiling