Details

analyze126.0ms (5.9%)

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)

sample927.0ms (43.3%)

Results

917.0ms	8256×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess69.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

609×	`cancel-sign-sub-inv_binary64`
398×	`associate-*l/_binary64`
335×	`associate-l_binary64`
324×	`distribute-rgt-out--_binary64`
304×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	35	26
2	89	20
3	201	20
4	402	20
5	1096	20
6	5202	20
0	2	2

Stop Event

1×	saturated
1×	node limit

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify49.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

921×	`fma-neg_binary64`
628×	`times-frac_binary64`
467×	`neg-mul-1_binary64`
305×	`*-commutative_binary64`
304×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	53	10
3	124	10
4	256	10
5	541	10
6	1084	10
7	4068	10
8	7900	10

Stop Event

1×	node limit

Counts

1 → 6

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 x y) (.f64 x (.f64 2 y)))
(/.f64 (-.f64 x y) (.f64 x (.f64 y 2)))
(-.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))

eval1.0ms (0.1%)

Compiler: Compiled 50 to 30 computations (40% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Error

0.0b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize7.0ms (0.3%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`prod-diff_binary64`
570×	`unpow-prod-down_binary64`
410×	`log-prod_binary64`
269×	`fma-def_binary64`
233×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	168	10
2	2510	10

Stop Event

1×	node limit

Counts

1 → 152

Calls

Call 1

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

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

simplify73.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

269×	`associate-*l/_binary64`
247×	`div-sub_binary64`
239×	`unswap-sqr_binary64`
237×	`cancel-sign-sub-inv_binary64`
210×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	2928
1	901	2836
2	2938	2658

Stop Event

1×	node limit

Counts

176 → 185

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)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 1/2 y) (*.f64 (/.f64 -1/2 x) 1))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 -1 (/.f64 1/2 x) (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 -1/2 (/.f64 1 x) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(+.f64 0 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(+.f64 (fma.f64 1/2 (/.f64 1 y) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(+.f64 (fma.f64 (/.f64 1/2 y) 1 (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(+.f64 (fma.f64 1 (/.f64 1/2 y) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(+.f64 (fma.f64 -1/2 (/.f64 1 (neg.f64 y)) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(+.f64 (fma.f64 (/.f64 1 y) 1/2 (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))
(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x)))
(*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 1 x)) 1))
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 1)
(*.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
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(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 y))

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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 y) (/.f64 -1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (*.f64 (/.f64 -1/2 x) 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)) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(-.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)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(-.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)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/2 x))))
(+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x))))
(-.f64 (/.f64 1/2 y) (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(-.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)) (fma.f64 -1 (/.f64 1/2 x) (/.f64 1/2 x)))
(-.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)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/2 x))))
(+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x))))
(-.f64 (/.f64 1/2 y) (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 -1/2 (/.f64 1 x) (/.f64 1/2 x)))
(-.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 y) (/.f64 -1/2 x))
(+.f64 0 (+.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 (fma.f64 1/2 (/.f64 1 y) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 1/2 y) 1 (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 1 (/.f64 1/2 y) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 -1/2 (/.f64 1 (neg.f64 y)) (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 1 y) 1/2 (neg.f64 (.f64 (/.f64 1 (neg.f64 x)) -1/2))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) -1/2 (.f64 (/.f64 1 (neg.f64 x)) -1/2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.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 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 y) (/.f64 1 x)) 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 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 1/2 y) (/.f64 -1/2 x))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 (pow.f64 (cbrt.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 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.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 (-.f64 (.f64 1/2 x) (.f64 1/2 y)) (/.f64 1 (.f64 y x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(.f64 (-.f64 (.f64 1/2 x) (.f64 1/2 y)) (pow.f64 (/.f64 1 (.f64 y x)) 1))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(.f64 (-.f64 (.f64 1/8 (pow.f64 y -3)) (.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (/.f64 1/4 (.f64 y y)))))
(.f64 (.f64 1/8 (-.f64 (pow.f64 y -3) (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (/.f64 1/4 (*.f64 y y)))))
(/.f64 1/8 (/.f64 (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (/.f64 1/4 (*.f64 y y))) (-.f64 (pow.f64 y -3) (pow.f64 x -3))))
(/.f64 (.f64 1/8 (-.f64 (pow.f64 y -3) (pow.f64 x -3))) (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (+.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x)))
(.f64 (-.f64 (.f64 1/8 (pow.f64 y -3)) (.f64 1/8 (pow.f64 x -3))) (pow.f64 (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (/.f64 1/4 (.f64 y y)))) 1))
(.f64 (.f64 1/8 (-.f64 (pow.f64 y -3) (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (/.f64 1/4 (*.f64 y y)))))
(/.f64 1/8 (/.f64 (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (/.f64 1/4 (*.f64 y y))) (-.f64 (pow.f64 y -3) (pow.f64 x -3))))
(/.f64 (.f64 1/8 (-.f64 (pow.f64 y -3) (pow.f64 x -3))) (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (+.f64 (/.f64 1/4 x) (/.f64 1/4 y)) x)))
(.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(/.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 (/.f64 1/4 (*.f64 y y)) (/.f64 (/.f64 -1/4 x) x)) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (*.f64 x x))) (pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 1))
(.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(/.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 (/.f64 1/4 (*.f64 y y)) (/.f64 (/.f64 -1/4 x) x)) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))))
(*.f64 (pow.f64 1 1/3) (+.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 (pow.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) 1) (pow.f64 (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) 1))
(*.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3/2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3/2)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2) (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)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 7) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))
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(fma.f64 (-.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/2 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (.f64 x x))) (/.f64 1/2 x)) (/.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 (/.f64 1/2 x) (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (.f64 x x))))) (/.f64 (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 (/.f64 -1/4 x) x)) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(fma.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(/.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 (/.f64 1/4 (*.f64 y y)) (/.f64 (/.f64 -1/4 x) x)) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (cbrt.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))
(fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.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))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.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))
(fma.f64 -1 (/.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))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (*.f64 (/.f64 1 x) 0))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (*.f64 (/.f64 1 x) 0))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (/.f64 1/2 x) (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (.f64 x x))))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (*.f64 (/.f64 1 x) 0))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) 0)
(fma.f64 (neg.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 (/.f64 -1/2 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/2 x))))
(+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x))))
(-.f64 (/.f64 1/2 y) (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (.f64 x x)))))

eval93.0ms (4.4%)

Compiler: Compiled 3635 to 2680 computations (26.3% saved)

prune41.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	182	4	186

Error

Counts

186 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.1b	(/.f64 (/.f64 (-.f64 (.f64 1/2 x) (.f64 1/2 y)) y) x)
▶	32.9b	(/.f64 1/2 y)
▶	30.0b	(/.f64 -1/2 x)
✓	0.0b	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 32 to 24 computations (25% saved)

localize3.0ms (0.1%)

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

localize3.0ms (0.1%)

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

localize16.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (.f64 1/2 x) (.f64 1/2 y)) y)
✓	7.5b	(/.f64 (/.f64 (-.f64 (.f64 1/2 x) (.f64 1/2 y)) y) x)

Compiler

Compiled 38 to 25 computations (34.2% saved)

series8.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`log-prod_binary64`
463×	`fma-def_binary64`
298×	`pow2_binary64`
239×	`fma-neg_binary64`
208×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	221	23
2	3470	19

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

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

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

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

simplify60.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

867×	`times-frac_binary64`
715×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
474×	`associate-/l/_binary64`
193×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	1928
1	702	1861
2	2588	1856

Stop Event

1×	node limit

Counts

162 → 181

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)))
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(*.f64 1/2 (/.f64 x y))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(*.f64 1/2 (/.f64 x y))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(*.f64 1/2 (/.f64 x y))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(+.f64 0 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))) 1)
(-.f64 (/.f64 (.f64 1/2 x) (.f64 x y)) (/.f64 (.f64 1/2 y) (.f64 x y)))
(-.f64 (/.f64 (*.f64 1/2 (/.f64 x y)) x) (/.f64 1/2 x))
(.f64 (.f64 1/2 (-.f64 x y)) (/.f64 1 (*.f64 x y)))
(.f64 (.f64 1/2 (-.f64 x y)) (*.f64 (/.f64 1 y) (/.f64 1 x)))
(*.f64 (fma.f64 1/2 (/.f64 x y) -1/2) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) 1)
(*.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))
(.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)) (sqrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))
(.f64 (/.f64 (.f64 -1/2 (-.f64 x y)) y) (pow.f64 (neg.f64 x) -1))
(*.f64 (/.f64 1 x) (fma.f64 1/2 (/.f64 x y) -1/2))
(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 x y) 2))) x) (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) y))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (-.f64 x y))) x) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) y))
(.f64 (/.f64 (.f64 1/2 (-.f64 x y)) 1) (/.f64 (/.f64 1 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) x))
(.f64 (/.f64 (.f64 1/2 (-.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 x)))
(.f64 (/.f64 (.f64 1/2 (-.f64 x y)) (sqrt.f64 x)) (/.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (sqrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)) 2)
(pow.f64 (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) -1/2) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (.f64 (.f64 2 (/.f64 y (-.f64 x y))) x) -1)
(pow.f64 (/.f64 (.f64 x y) (.f64 1/2 (-.f64 x y))) -1)
(pow.f64 (/.f64 (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2)) 1) -1)
(neg.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) -1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)) 1))
(+.f64 (*.f64 1/2 (/.f64 x y)) -1/2)
(+.f64 0 (fma.f64 1/2 (/.f64 x y) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x y) -1/2))) 1)
(*.f64 1/2 (/.f64 (-.f64 x y) y))
(.f64 1/2 (.f64 (-.f64 x y) (/.f64 1 y)))
(.f64 (.f64 1/2 (-.f64 x y)) (/.f64 1 y))
(*.f64 (fma.f64 1/2 (/.f64 x y) -1/2) 1)
(*.f64 1 (fma.f64 1/2 (/.f64 x y) -1/2))
(*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 x y) 2))) (.f64 (cbrt.f64 (.f64 1/2 (-.f64 x y))) (/.f64 1 y)))
(*.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))
(.f64 (sqrt.f64 (.f64 1/2 (-.f64 x y))) (.f64 (sqrt.f64 (.f64 1/2 (-.f64 x y))) (/.f64 1 y)))
(.f64 (.f64 -1/2 (-.f64 x y)) (/.f64 1 (neg.f64 y)))
(.f64 (/.f64 1 y) (.f64 1/2 (-.f64 x y)))
(*.f64 (/.f64 1/2 (/.f64 y (cbrt.f64 y))) (/.f64 (-.f64 x y) (cbrt.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (.f64 1/2 (-.f64 x y)) (cbrt.f64 y)))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 (-.f64 x y) (sqrt.f64 y)))
(.f64 (pow.f64 y -1/2) (/.f64 (.f64 1/2 (-.f64 x y)) (sqrt.f64 y)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 x y) 2))) 1) (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) y))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (-.f64 x y))) 1) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) y))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 x y) 2))) (/.f64 y (cbrt.f64 y))) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (-.f64 x y))) (/.f64 y (cbrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) (cbrt.f64 y)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 x y) 2))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) (sqrt.f64 y)))
(pow.f64 (fma.f64 1/2 (/.f64 x y) -1/2) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) -1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) -1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) 2)
(pow.f64 (*.f64 2 (/.f64 y (-.f64 x y))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 1/2 (-.f64 x y)) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (/.f64 (*.f64 2 (/.f64 y (-.f64 x y))) 1) -1)
(neg.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 x y) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) -1/2) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 (-.f64 x y)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))
(exp.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) 1))
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 (*.f64 1/2 x) (/.f64 1 y) -1/2)
(fma.f64 1 (*.f64 1/2 (/.f64 x y)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (.f64 1/2 (/.f64 x y))) -1/2)
(fma.f64 (sqrt.f64 (.f64 1/2 (/.f64 x y))) (sqrt.f64 (.f64 1/2 (/.f64 x y))) -1/2)
(fma.f64 (/.f64 1/2 (/.f64 y (cbrt.f64 y))) (/.f64 x (cbrt.f64 y)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 1/2 x) (cbrt.f64 y)) -1/2)
(fma.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) -1/2)
(fma.f64 (pow.f64 y -1/2) (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) -1/2)
(fma.f64 (/.f64 x 1) (/.f64 1/2 y) -1/2)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 1/2 x) 2)) 1) (/.f64 (cbrt.f64 (.f64 1/2 x)) y) -1/2)
(fma.f64 (/.f64 (sqrt.f64 (.f64 1/2 x)) 1) (/.f64 (sqrt.f64 (.f64 1/2 x)) y) -1/2)
(fma.f64 (/.f64 x (/.f64 y (cbrt.f64 y))) (/.f64 1/2 (cbrt.f64 y)) -1/2)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 1/2 x) 2)) (/.f64 y (cbrt.f64 y))) (/.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 y)) -1/2)
(fma.f64 (/.f64 (sqrt.f64 (.f64 1/2 x)) (/.f64 y (cbrt.f64 y))) (/.f64 (sqrt.f64 (.f64 1/2 x)) (cbrt.f64 y)) -1/2)
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y)) -1/2)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 1/2 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 1/2 x)) (sqrt.f64 y)) -1/2)
(fma.f64 (/.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 y)) -1/2)

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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 y) (/.f64 -1/2 x))
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(+.f64 0 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))) 1)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 (.f64 1/2 x) (.f64 x y)) (/.f64 (.f64 1/2 y) (.f64 x y)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 (*.f64 1/2 (/.f64 x y)) x) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(.f64 (.f64 1/2 (-.f64 x y)) (/.f64 1 (*.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 (-.f64 x y)) (*.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 (fma.f64 1/2 (/.f64 x y) -1/2) (/.f64 1 x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) 1)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)) 2))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)) (sqrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(.f64 (/.f64 (.f64 -1/2 (-.f64 x y)) y) (pow.f64 (neg.f64 x) -1))
(*.f64 (/.f64 -1/2 (/.f64 y (-.f64 x y))) (/.f64 1 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 -1/2 (-.f64 x y)) (neg.f64 x)) y)
(/.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) y)
(*.f64 (/.f64 1 x) (fma.f64 1/2 (/.f64 x y) -1/2))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 x y) 2))) x) (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) y))
(/.f64 (.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 x y) 2))) (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) y)) x)
(.f64 (/.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 x y))) y) x) (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 x y) 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (-.f64 x y))) x) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) y))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(.f64 (/.f64 (.f64 1/2 (-.f64 x y)) 1) (/.f64 (/.f64 1 y) x))
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(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(fma.f64 (*.f64 1/2 x) (/.f64 1 y) -1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(fma.f64 1 (*.f64 1/2 (/.f64 x y)) -1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (.f64 1/2 (/.f64 x y))) -1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(fma.f64 (sqrt.f64 (.f64 1/2 (/.f64 x y))) (sqrt.f64 (.f64 1/2 (/.f64 x y))) -1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(fma.f64 (/.f64 1/2 (/.f64 y (cbrt.f64 y))) (/.f64 x (cbrt.f64 y)) -1/2)
(fma.f64 (*.f64 (/.f64 1/2 y) (cbrt.f64 y)) (/.f64 x (cbrt.f64 y)) -1/2)
(fma.f64 (/.f64 1/2 y) (*.f64 (cbrt.f64 y) (/.f64 x (cbrt.f64 y))) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 1/2 x) (cbrt.f64 y)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 x 1/2) (cbrt.f64 y)) -1/2)
(fma.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) -1/2)
(fma.f64 (pow.f64 y -1/2) (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) -1/2)
(fma.f64 (pow.f64 y -1/2) (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) -1/2)
(fma.f64 (pow.f64 y -1/2) (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) -1/2)
(fma.f64 (/.f64 x 1) (/.f64 1/2 y) -1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 1/2 x) 2)) 1) (/.f64 (cbrt.f64 (.f64 1/2 x)) y) -1/2)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (/.f64 (cbrt.f64 (.f64 x 1/2)) y) -1/2)
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (/.f64 (cbrt.f64 (*.f64 x 1/2)) y) -1/2)
(fma.f64 (/.f64 (sqrt.f64 (.f64 1/2 x)) 1) (/.f64 (sqrt.f64 (.f64 1/2 x)) y) -1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(fma.f64 (/.f64 x (/.f64 y (cbrt.f64 y))) (/.f64 1/2 (cbrt.f64 y)) -1/2)
(fma.f64 (*.f64 (/.f64 x y) (cbrt.f64 y)) (/.f64 1/2 (cbrt.f64 y)) -1/2)
(fma.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (/.f64 1/2 (cbrt.f64 y))) -1/2)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 1/2 x) 2)) (/.f64 y (cbrt.f64 y))) (/.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 y)) -1/2)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (/.f64 y (cbrt.f64 y))) (/.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 y)) -1/2)
(fma.f64 (.f64 (cbrt.f64 y) (/.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) y)) (/.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 y)) -1/2)
(fma.f64 (/.f64 (sqrt.f64 (.f64 1/2 x)) (/.f64 y (cbrt.f64 y))) (/.f64 (sqrt.f64 (.f64 1/2 x)) (cbrt.f64 y)) -1/2)
(fma.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) y) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) -1/2)
(fma.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) (/.f64 y (cbrt.f64 y))) (/.f64 (sqrt.f64 (.f64 x 1/2)) (cbrt.f64 y)) -1/2)
(fma.f64 (.f64 (cbrt.f64 y) (/.f64 (sqrt.f64 (.f64 x 1/2)) y)) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) -1/2)
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y)) -1/2)
(fma.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) -1/2)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 1/2 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 1/2 x)) (sqrt.f64 y)) -1/2)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 x 1/2)) (sqrt.f64 y)) -1/2)
(fma.f64 (/.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 y)) -1/2)
(fma.f64 (/.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 y)) -1/2)
(fma.f64 (/.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 y)) -1/2)

eval46.0ms (2.2%)

Compiler: Compiled 2583 to 1517 computations (41.3% saved)

prune27.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	181	4	185

Error

Counts

185 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.3b	(/.f64 (-.f64 (/.f64 (/.f64 x y) 2) 1/2) x)
✓	32.9b	(/.f64 1/2 y)
✓	30.0b	(/.f64 -1/2 x)
✓	0.0b	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 30 to 23 computations (23.3% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 x y) 2)
✓	7.5b	(/.f64 (-.f64 (/.f64 (/.f64 x y) 2) 1/2) x)

Compiler

Compiled 30 to 16 computations (46.7% saved)

series6.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
293×	`pow-prod-down_binary64`
282×	`pow2_binary64`
227×	`log-div_binary64`
198×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	216	18
2	3059	18

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

Outputs

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

simplify72.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

509×	`distribute-rgt-in_binary64`
481×	`distribute-lft-in_binary64`
457×	`times-frac_binary64`
358×	`unswap-sqr_binary64`
206×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	2837
1	861	2713
2	2546	2455

Stop Event

1×	node limit

Counts

196 → 188

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)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(+.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 x (.f64 x (.f64 y 2))) (neg.f64 (/.f64 1/2 x)))
(+.f64 0 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x))
(+.f64 (fma.f64 (.f64 (/.f64 x y) 1/2) (/.f64 1 x) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 1 (/.f64 x (.f64 x (.f64 y 2))) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) 2) (cbrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (sqrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (.f64 (/.f64 x y) 1/2) (cbrt.f64 x)) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (pow.f64 x -1/2) (/.f64 (.f64 (/.f64 x y) 1/2) (sqrt.f64 x)) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1/2 x) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) 1) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) x) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) 1) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) x) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 x)) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 x)) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (neg.f64 (.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (.f64 (/.f64 x y) 1/2) (/.f64 1 x) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 1 (/.f64 x (.f64 x (.f64 y 2))) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) 2) (cbrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (sqrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (.f64 (/.f64 x y) 1/2) (cbrt.f64 x)) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (pow.f64 x -1/2) (/.f64 (.f64 (/.f64 x y) 1/2) (sqrt.f64 x)) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1/2 x) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) 1) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) x) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) 1) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) x) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 x)) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 x)) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (neg.f64 (.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (.f64 (/.f64 x y) 1/2) (/.f64 1 x) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 1 (/.f64 x (.f64 x (.f64 y 2))) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) 2) (cbrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (sqrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (.f64 (/.f64 x y) 1/2) (cbrt.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (pow.f64 x -1/2) (/.f64 (.f64 (/.f64 x y) 1/2) (sqrt.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1/2 x) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) 1) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) x) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) 1) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) x) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)))))
(-.f64 (/.f64 x (.f64 x (.f64 y 2))) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x))) 1)
(*.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x) 1)
(*.f64 1 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) 2) (.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2)) -2)) (cbrt.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)))
(.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) (.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)))
(*.f64 (neg.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (fma.f64 (/.f64 x y) 1/2 -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 (/.f64 x y) 1/2 -1/2)) (sqrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x) 1)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)) 2)
(pow.f64 (/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2)) -2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (fma.f64 (/.f64 x y) 1/2 -1/2) x)) 1) 1))
(fma.f64 (*.f64 (/.f64 x y) 1/2) (/.f64 1 x) (neg.f64 (/.f64 1/2 x)))
(fma.f64 1 (/.f64 x (.f64 x (.f64 y 2))) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) 2) (cbrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (sqrt.f64 (/.f64 x (.f64 x (.f64 y 2)))) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (*.f64 (/.f64 x y) 1/2) (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (pow.f64 x -1/2) (/.f64 (*.f64 (/.f64 x y) 1/2) (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1/2 x) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) 1) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) x) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) 1) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) x) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(+.f64 (.f64 (/.f64 x y) 1/4) (.f64 (/.f64 x y) 1/4))
(+.f64 0 (*.f64 (/.f64 x y) 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/2))) 1)
(.f64 x (/.f64 1 (.f64 y 2)))
(.f64 x (.f64 (/.f64 1 y) 1/2))
(*.f64 (/.f64 x y) 1/2)
(.f64 (.f64 (/.f64 x y) 1/2) 1)
(*.f64 1/2 (/.f64 x y))
(.f64 1 (.f64 (/.f64 x y) 1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (cbrt.f64 (*.f64 (/.f64 x y) 1/2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (.f64 (cbrt.f64 (/.f64 x y)) 1/2))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 (*.f64 (/.f64 x y) 1/2)))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) 1/2))
(*.f64 (/.f64 (neg.f64 x) y) -1/2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 2) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) 2) (/.f64 (sqrt.f64 x) y))
(pow.f64 (*.f64 (/.f64 x y) 1/2) 1)
(pow.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/2)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/2)) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/2) 3) 1/3)
(pow.f64 (*.f64 (/.f64 2 x) y) -1)
(pow.f64 (/.f64 (*.f64 y 2) x) -1)
(pow.f64 (/.f64 (*.f64 (/.f64 2 x) y) 1) -1)
(neg.f64 (/.f64 (/.f64 x y) -2))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) 1/2)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (/.f64 x y) 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 2 x) y)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 x y) 1/2)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 x y) 1/2)) 3) 1/3))

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)))
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(.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (.f64 1/2 (cbrt.f64 (/.f64 x y))))
(.f64 1/2 (.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 x y))))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 (*.f64 (/.f64 x y) 1/2)))
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(*.f64 x (/.f64 1/2 y))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (/.f64 x y) 1/2))) 1/3))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 2 x) y)) -1))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 x y) 1/2)) 1) 1))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 x y) 1/2)) 3) 1/3))
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eval71.0ms (3.3%)

Compiler: Compiled 4052 to 2716 computations (33% saved)

prune25.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	188	4	192

Error

Counts

192 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.3b	(/.f64 (-.f64 (/.f64 (/.f64 x y) 2) 1/2) x)
✓	32.9b	(/.f64 1/2 y)
✓	30.0b	(/.f64 -1/2 x)
✓	0.0b	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes15.0ms (0.7%)

Counts

6 → 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) 2) 1/2) x)
(/.f64 (/.f64 (-.f64 (.f64 1/2 x) (.f64 1/2 y)) y) x)

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

Calls

3 calls:

5.0ms	x
4.0ms	y
4.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) 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 61 to 40 computations (34.4% saved)

regimes17.0ms (0.8%)

Accuracy

Total -48.8b remaining (-369.8%)

Threshold costs -48.8b (-369.8%)

Counts

2 → 3

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)

Calls

2 calls:

9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
14.2b	3	`x`
13.2b	3	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch32.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	2.3226750651035243e+73	1.4063434512283354e+81
17.0ms	-2.649680289846418e+21	-191108.24589704841

Results

28.0ms

304×

body

256

valid

Compiler

Compiled 244 to 201 computations (17.6% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	18	38
2	25	38
3	27	38
4	28	38

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y -1050000) (/.f64 -1/2 x) (if (<=.f64 y 23500000000000000935175993451260818568831590997238055778070899317589147648) (/.f64 1/2 y) (/.f64 -1/2 x)))

(/.f64 -1/2 x)

Outputs
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(if (<=.f64 y -1050000) (/.f64 -1/2 x) (if (<=.f64 y 23500000000000000935175993451260818568831590997238055778070899317589147648) (/.f64 1/2 y) (/.f64 -1/2 x)))
(/.f64 -1/2 x)

Compiler

Compiled 33 to 25 computations (24.2% saved)

soundness119.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

921×	`fma-neg_binary64`
628×	`times-frac_binary64`
467×	`neg-mul-1_binary64`
305×	`*-commutative_binary64`
304×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	53	10
3	124	10
4	256	10
5	541	10
6	1084	10
7	4068	10
8	7900	10

Stop Event

1×	node limit

Compiler

Compiled 185 to 127 computations (31.4% saved)

end25.0ms (1.2%)

Compiler: Compiled 29 to 21 computations (27.6% saved)

Details

analyze126.0ms (5.9%)

sample927.0ms (43.3%)

preprocess69.0ms (3.2%)

simplify49.0ms (2.3%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize7.0ms (0.3%)

series3.0ms (0.1%)

rewrite60.0ms (2.8%)

simplify73.0ms (3.4%)

eval93.0ms (4.4%)

prune41.0ms (1.9%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize16.0ms (0.7%)

series8.0ms (0.4%)

rewrite61.0ms (2.8%)

simplify60.0ms (2.8%)

eval46.0ms (2.2%)

prune27.0ms (1.3%)

localize9.0ms (0.4%)

series6.0ms (0.3%)

rewrite73.0ms (3.4%)

simplify72.0ms (3.3%)

eval71.0ms (3.3%)

prune25.0ms (1.2%)

regimes15.0ms (0.7%)

regimes17.0ms (0.8%)

bsearch32.0ms (1.5%)

simplify4.0ms (0.2%)

soundness119.0ms (5.5%)

end25.0ms (1.2%)

Profiling