Metrics for Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.0s (46.6%)

Results

929.0ms	7757×	body	256	valid
36.0ms	212×	body	1024	valid
32.0ms	151×	body	2048	valid
25.0ms	135×	body	512	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess175.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

1356×	`fma-def`
178×	`distribute-rgt-in`
134×	`sub-neg`
118×	`cancel-sign-sub-inv`
86×	`cancel-sign-sub`

FPErrors

Click to see full error table

truth	ex	ex	subexpr
256	-	-	`#f`
0	-	-	`x`
0	-	-	`2`
0	-	-	`y`
0	-	-	`(+.f64 x (/.f64 (-.f64 x y) 2))`
0	-	-	`(-.f64 x y)`
0	-	-	`(/.f64 (-.f64 x y) 2)`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	220
1	57	204
2	161	204
3	462	178
4	961	147
5	1522	147
6	1792	147
7	1852	147
8	1856	147

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (.f64 y -1/2) (.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (.f64 y -1/2) (.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2))
(-.f64 (/.f64 (-.f64 (neg.f64 x) y) 2) x)
(+.f64 (.f64 y -1/2) (.f64 x -3/2))
(fma.f64 y -1/2 (*.f64 x -3/2))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2))
(+.f64 x (/.f64 (+.f64 x y) 2))
(+.f64 (.f64 1/2 y) (.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y 1/2))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2)))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2))
(+.f64 x (/.f64 (+.f64 x y) 2))
(+.f64 (.f64 1/2 y) (.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y 1/2))
(neg.f64 (+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2)))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2))
(-.f64 (/.f64 (-.f64 (neg.f64 x) y) 2) x)
(+.f64 (.f64 y -1/2) (.f64 x -3/2))
(fma.f64 y -1/2 (*.f64 x -3/2))
(+.f64 y (/.f64 (-.f64 y x) 2))
(fma.f64 x -1/2 (*.f64 y 3/2))

Compiler

Compiled 51 to 26 computations (49% saved)

eval1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
▶	99.9%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
▶	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
▶	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
▶	99.9%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
▶	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))

Compiler

Compiled 52 to 38 computations (26.9% saved)

localize71.0ms (3.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.9%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))

Compiler

Compiled 51 to 29 computations (43.1% saved)

series4.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite228.0ms (10.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`log1p-expm1-u`
1226×	`expm1-log1p-u`
380×	`expm1-udef`
380×	`log1p-udef`
148×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	212	45
2	3246	45

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (.f64 y -1/2) (.f64 x 3/2))

Outputs
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (.f64 (-.f64 x y) 1/2))) (/.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(-.f64 (+.f64 x (.f64 x 1/2)) (.f64 y 1/2))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))
(.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x))) (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(/.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x))))
(/.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 (pow.f64 x 2) (.f64 x (.f64 (-.f64 x y) 1/2)))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (.f64 (-.f64 x y) 1/2)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (pow.f64 x 2)) (-.f64 (.f64 (-.f64 x y) 1/2) x))
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (cbrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (sqrt.f64 (.f64 (-.f64 x y) 1/2)) (sqrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 y 2) 1/4) (+.f64 (.f64 y -1/2) (.f64 -3/2 x))) (/.f64 (.f64 (pow.f64 x 2) 9/4) (+.f64 (.f64 y -1/2) (.f64 -3/2 x))))
(.f64 (fma.f64 y -1/2 (.f64 x 3/2)) 1)
(.f64 1 (fma.f64 y -1/2 (.f64 x 3/2)))
(.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2))))))
(.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4)) (/.f64 1 (+.f64 (.f64 y -1/2) (*.f64 -3/2 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)))) (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3))))
(/.f64 1 (/.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x)) (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3)) (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (*.f64 y -1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3)) (+.f64 (.f64 (pow.f64 x 2) 9/4) (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 y (.f64 -1/2 (*.f64 x 3/2))))))
(/.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4)) (+.f64 (.f64 y -1/2) (.f64 -3/2 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (*.f64 y -1/2))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4))) (neg.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 9/4) (.f64 (pow.f64 y 2) 1/4)) (-.f64 (.f64 x 3/2) (.f64 y -1/2)))
(pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 3)
(pow.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 2))
(log.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))))
(cbrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(exp.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 y -1/2 (.f64 x 3/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 x 3/2 (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 3/2 x (*.f64 y -1/2))
(fma.f64 1 (.f64 y -1/2) (.f64 x 3/2))
(fma.f64 1 (.f64 x 3/2) (.f64 y -1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 2) 1/4)) (cbrt.f64 (.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (cbrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))

simplify102.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1598×	`fma-neg`
1054×	`fma-def`
868×	`distribute-lft-in`
866×	`distribute-rgt-in`
476×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	3987
1	499	3877
2	1697	3790
3	7113	3770

Stop Event

1×	node limit

Counts

125 → 100

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 x (*.f64 1/2 x))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (.f64 (-.f64 x y) 1/2))) (/.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(-.f64 (+.f64 x (.f64 x 1/2)) (.f64 y 1/2))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))
(.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x))) (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(/.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x))))
(/.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 (pow.f64 x 2) (.f64 x (.f64 (-.f64 x y) 1/2)))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (.f64 (-.f64 x y) 1/2)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (pow.f64 x 2)) (-.f64 (.f64 (-.f64 x y) 1/2) x))
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (cbrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (sqrt.f64 (.f64 (-.f64 x y) 1/2)) (sqrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 y 2) 1/4) (+.f64 (.f64 y -1/2) (.f64 -3/2 x))) (/.f64 (.f64 (pow.f64 x 2) 9/4) (+.f64 (.f64 y -1/2) (.f64 -3/2 x))))
(.f64 (fma.f64 y -1/2 (.f64 x 3/2)) 1)
(.f64 1 (fma.f64 y -1/2 (.f64 x 3/2)))
(.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2))))))
(.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4)) (/.f64 1 (+.f64 (.f64 y -1/2) (*.f64 -3/2 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)))) (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3))))
(/.f64 1 (/.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x)) (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3)) (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (*.f64 y -1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3)) (+.f64 (.f64 (pow.f64 x 2) 9/4) (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 y (.f64 -1/2 (*.f64 x 3/2))))))
(/.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4)) (+.f64 (.f64 y -1/2) (.f64 -3/2 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (*.f64 y -1/2))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4))) (neg.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 9/4) (.f64 (pow.f64 y 2) 1/4)) (-.f64 (.f64 x 3/2) (.f64 y -1/2)))
(pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 3)
(pow.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 2))
(log.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))))
(cbrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(exp.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 y -1/2 (.f64 x 3/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 x 3/2 (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 3/2 x (*.f64 y -1/2))
(fma.f64 1 (.f64 y -1/2) (.f64 x 3/2))
(fma.f64 1 (.f64 x 3/2) (.f64 y -1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 2) 1/4)) (cbrt.f64 (.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (cbrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))

Outputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (*.f64 1/2 x))
(*.f64 3/2 x)
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (.f64 (-.f64 x y) 1/2))) (/.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 -1/2 (-.f64 x y) x))
(-.f64 (+.f64 x (.f64 x 1/2)) (.f64 y 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (.f64 1/2 (.f64 (-.f64 x y) (-.f64 (*.f64 1/2 (-.f64 x y)) x)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 -1/2 (-.f64 x y) x))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x))) (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3))))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (.f64 1/2 (.f64 (-.f64 x y) (-.f64 (*.f64 1/2 (-.f64 x y)) x)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 -1/2 (-.f64 x y) x))
(/.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x))))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (.f64 1/2 (.f64 (-.f64 x y) (-.f64 (*.f64 1/2 (-.f64 x y)) x)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 (pow.f64 x 2) (.f64 x (.f64 (-.f64 x y) 1/2)))))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (.f64 1/2 (.f64 (-.f64 x y) (-.f64 (*.f64 1/2 (-.f64 x y)) x)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (.f64 (-.f64 x y) 1/2)))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 -1/2 (-.f64 x y) x))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x)))))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (.f64 1/2 (.f64 (-.f64 x y) (-.f64 (*.f64 1/2 (-.f64 x y)) x)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 -1/2 (-.f64 x y) x))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (pow.f64 x 2)) (-.f64 (.f64 (-.f64 x y) 1/2) x))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 -1/2 (-.f64 x y) x))
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (cbrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (cbrt.f64 (.f64 1/2 (-.f64 x y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (.f64 (-.f64 x y) 1/2)) (sqrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (/.f64 (.f64 (pow.f64 y 2) 1/4) (+.f64 (.f64 y -1/2) (.f64 -3/2 x))) (/.f64 (.f64 (pow.f64 x 2) 9/4) (+.f64 (.f64 y -1/2) (.f64 -3/2 x))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (fma.f64 1/4 (pow.f64 y 2) (.f64 (pow.f64 x 2) -9/4)) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 (pow.f64 x 2) -9/4 (.f64 1/4 (pow.f64 y 2))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(.f64 (fma.f64 y -1/2 (.f64 x 3/2)) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 1 (fma.f64 y -1/2 (.f64 x 3/2)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2))))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (fma.f64 (pow.f64 y 2) 1/4 (.f64 x (.f64 3/2 (-.f64 (.f64 3/2 x) (.f64 -1/2 y)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 x (.f64 3/2 (fma.f64 3/2 x (.f64 y 1/2))) (.f64 1/4 (pow.f64 y 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 (pow.f64 x 2) 9/4 (.f64 y (+.f64 (.f64 y 1/4) (.f64 x 3/4)))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 (pow.f64 x 2) 9/4 (.f64 y (fma.f64 y 1/4 (*.f64 x 3/4)))))
(.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4)) (/.f64 1 (+.f64 (.f64 y -1/2) (*.f64 -3/2 x))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (fma.f64 1/4 (pow.f64 y 2) (.f64 (pow.f64 x 2) -9/4)) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 (pow.f64 x 2) -9/4 (.f64 1/4 (pow.f64 y 2))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)))) (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (fma.f64 (pow.f64 y 2) 1/4 (.f64 x (.f64 3/2 (-.f64 (.f64 3/2 x) (.f64 -1/2 y)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 x (.f64 3/2 (fma.f64 3/2 x (.f64 y 1/2))) (.f64 1/4 (pow.f64 y 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 (pow.f64 x 2) 9/4 (.f64 y (+.f64 (.f64 y 1/4) (.f64 x 3/4)))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 (pow.f64 x 2) 9/4 (.f64 y (fma.f64 y 1/4 (*.f64 x 3/4)))))
(/.f64 1 (/.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x)) (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (fma.f64 1/4 (pow.f64 y 2) (.f64 (pow.f64 x 2) -9/4)) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 (pow.f64 x 2) -9/4 (.f64 1/4 (pow.f64 y 2))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3)) (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (*.f64 y -1/2)))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (fma.f64 (pow.f64 y 2) 1/4 (.f64 x (.f64 3/2 (-.f64 (.f64 3/2 x) (.f64 -1/2 y)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 x (.f64 3/2 (fma.f64 3/2 x (.f64 y 1/2))) (.f64 1/4 (pow.f64 y 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 (pow.f64 x 2) 9/4 (.f64 y (+.f64 (.f64 y 1/4) (.f64 x 3/4)))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 (pow.f64 x 2) 9/4 (.f64 y (fma.f64 y 1/4 (*.f64 x 3/4)))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3)) (+.f64 (.f64 (pow.f64 x 2) 9/4) (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 y (.f64 -1/2 (*.f64 x 3/2))))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (fma.f64 (pow.f64 y 2) 1/4 (.f64 x (.f64 3/2 (-.f64 (.f64 3/2 x) (.f64 -1/2 y)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 x (.f64 3/2 (fma.f64 3/2 x (.f64 y 1/2))) (.f64 1/4 (pow.f64 y 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 (pow.f64 x 2) 9/4 (.f64 y (+.f64 (.f64 y 1/4) (.f64 x 3/4)))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 (pow.f64 x 2) 9/4 (.f64 y (fma.f64 y 1/4 (*.f64 x 3/4)))))
(/.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4)) (+.f64 (.f64 y -1/2) (.f64 -3/2 x)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (fma.f64 1/4 (pow.f64 y 2) (.f64 (pow.f64 x 2) -9/4)) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 (pow.f64 x 2) -9/4 (.f64 1/4 (pow.f64 y 2))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (.f64 x 3/2) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (*.f64 y -1/2))))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (fma.f64 (pow.f64 y 2) 1/4 (.f64 x (.f64 3/2 (-.f64 (.f64 3/2 x) (.f64 -1/2 y)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 x (.f64 3/2 (fma.f64 3/2 x (.f64 y 1/2))) (.f64 1/4 (pow.f64 y 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 (pow.f64 x 2) 9/4 (.f64 y (+.f64 (.f64 y 1/4) (.f64 x 3/4)))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 (pow.f64 x 2) 9/4 (.f64 y (fma.f64 y 1/4 (*.f64 x 3/4)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4))) (neg.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (fma.f64 1/4 (pow.f64 y 2) (.f64 (pow.f64 x 2) -9/4)) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 (pow.f64 x 2) -9/4 (.f64 1/4 (pow.f64 y 2))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 9/4) (.f64 (pow.f64 y 2) 1/4)) (-.f64 (.f64 x 3/2) (.f64 y -1/2)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (fma.f64 1/4 (pow.f64 y 2) (.f64 (pow.f64 x 2) -9/4)) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 (pow.f64 x 2) -9/4 (.f64 1/4 (pow.f64 y 2))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 3)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3) 1/3)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(sqrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(cbrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(expm1.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (.f64 (log.f64 (fma.f64 y -1/2 (.f64 x 3/2))) 1))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log1p.f64 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 x 3/2 (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 3/2 x (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1 (.f64 y -1/2) (.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1 (.f64 x 3/2) (.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 2) 1/4)) (cbrt.f64 (.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 y 2))) (cbrt.f64 (.f64 -1/2 y)) (*.f64 3/2 x))
(fma.f64 3/2 x (.f64 (cbrt.f64 (.f64 1/4 (pow.f64 y 2))) (cbrt.f64 (*.f64 -1/2 y))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (cbrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))

eval79.0ms (3.6%)

Compiler: Compiled 1481 to 991 computations (33.1% saved)

prune20.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	98	5	103

Accuracy

100.0%

Counts

103 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
✓	99.9%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
▶	48.9%	(*.f64 3/2 x)
▶	53.5%	(*.f64 -1/2 y)
✓	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
✓	99.9%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
▶	48.9%	(*.f64 3/2 x)
▶	53.5%	(*.f64 -1/2 y)

Compiler

Compiled 72 to 54 computations (25% saved)

localize28.0ms (1.3%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
✓	99.9%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
✓	48.9%	(*.f64 3/2 x)
✓	53.5%	(*.f64 -1/2 y)

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes17.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (.f64 y -1/2) (.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))

Outputs
(fma.f64 x 3/2 (*.f64 y -1/2))

Calls

3 calls:

6.0ms	y
5.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 (-.f64 x y) 2))`

Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes16.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 (.f64 y -1/2) (.f64 x 3/2))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 x (/.f64 (-.f64 x y) 2))`

Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes15.0ms (0.7%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 x (/.f64 (-.f64 x y) 2))`

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes68.0ms (3.1%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)

Outputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(*.f64 -1/2 y)

Calls

2 calls:

51.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
78.9%	5	`x`
81.2%	3	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 -1/2 y)

Outputs
(*.f64 -1/2 y)

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
53.5%	1	`x`
53.5%	1	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch32.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.0276802877947452e-48	9.792365139088465e-45
16.0ms	-3462345022675730.5	-4157261276.656441

Results

25.0ms	255×	body	256	valid
1.0ms	8×	body	1024	valid
1.0ms	4×	body	2048	valid
1.0ms	5×	body	512	valid

Compiler

Compiled 218 to 180 computations (17.4% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`*-commutative`
4×	`sub-neg`
2×	`neg-mul-1`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	135
1	44	135
2	49	135
3	51	135
4	52	135

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 (.f64 y -1/2) (.f64 x 3/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 y -380000000000) (.f64 -1/2 y) (if (<=.f64 y 7713302612443153/51422017416287688817342786954917203280710495801049370729644032) (.f64 3/2 x) (*.f64 -1/2 y)))
(*.f64 -1/2 y)

Outputs
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 (.f64 y -1/2) (.f64 x 3/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 y -380000000000) (.f64 -1/2 y) (if (<=.f64 y 7713302612443153/51422017416287688817342786954917203280710495801049370729644032) (.f64 3/2 x) (*.f64 -1/2 y)))
(if (or (<=.f64 y -380000000000) (not (<=.f64 y 7713302612443153/51422017416287688817342786954917203280710495801049370729644032))) (.f64 y -1/2) (.f64 x 3/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)

Compiler

Compiled 48 to 36 computations (25% saved)

soundness254.0ms (11.4%)

Rules

1356×	`fma-def`
1356×	`fma-def`
178×	`distribute-rgt-in`
178×	`distribute-rgt-in`
134×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	220
1	57	204
2	161	204
3	462	178
4	961	147
5	1522	147
6	1792	147
7	1852	147
8	1856	147
0	25	220
1	57	204
2	161	204
3	462	178
4	961	147
5	1522	147
6	1792	147
7	1852	147
8	1856	147

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 521 to 364 computations (30.1% saved)

end0.0ms (0%)

preprocess54.0ms (2.4%)

Compiler: Compiled 116 to 82 computations (29.3% saved)

analyze0.0ms (0%)

sample1.0s (46.6%)

preprocess175.0ms (7.9%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize71.0ms (3.2%)

series4.0ms (0.2%)

rewrite228.0ms (10.3%)

simplify102.0ms (4.6%)

eval79.0ms (3.6%)

prune20.0ms (0.9%)

localize28.0ms (1.3%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes17.0ms (0.8%)

regimes16.0ms (0.7%)

regimes15.0ms (0.7%)

regimes68.0ms (3.1%)

regimes7.0ms (0.3%)

bsearch32.0ms (1.4%)

simplify7.0ms (0.3%)

soundness254.0ms (11.4%)

end0.0ms (0%)

preprocess54.0ms (2.4%)

Profiling