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)

sample745.0ms (43.4%)

Results

657.0ms	7739×	body	256	valid
32.0ms	182×	body	2048	valid
31.0ms	214×	body	1024	valid
13.0ms	119×	body	512	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess177.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

1340×	`fma-def`
190×	`cancel-sign-sub-inv`
160×	`sub-neg`
136×	`fma-neg`
98×	`distribute-rgt-in`

Problems

256×

No Errors

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	152
1	46	144
2	114	144
3	296	137
4	657	105
5	1185	105
6	1602	105
7	1723	105
8	1737	105

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

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

Compiler

Compiled 30 to 16 computations (46.7% saved)

eval1.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune2.0ms (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 x (/.f64 (-.f64 x y) 2))
▶	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
▶	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize50.0ms (2.9%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 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	x	@	-inf	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0ms	x	@	0	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0ms	y	@	inf	(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite110.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`log1p-expm1-u`
805×	`expm1-log1p-u`
768×	`fma-def`
664×	`log-prod`
522×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	138	24
2	2112	24

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

simplify67.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1248×	`div-sub`
760×	`cancel-sign-sub-inv`
750×	`fma-neg`
584×	`fma-def`
510×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2680
1	409	2644
2	1028	2585
3	4182	2298

Stop Event

1×	node limit

Counts

88 → 77

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

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

eval25.0ms (1.4%)

Compiler: Compiled 1052 to 605 computations (42.5% saved)

prune13.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	74	5	79

Accuracy

100.0%

Counts

79 → 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 -1/2 y) (.f64 3/2 x))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
▶	47.1%	(*.f64 3/2 x)
▶	54.6%	(*.f64 -1/2 y)
✓	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
▶	99.9%	(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
▶	47.1%	(*.f64 3/2 x)
▶	54.6%	(*.f64 -1/2 y)

Compiler

Compiled 72 to 54 computations (25% saved)

localize76.0ms (4.4%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series1.0ms (0.1%)

Counts

1 → 6

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
0.0ms	x	@	0	(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
0.0ms	y	@	inf	(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
0.0ms	x	@	inf	(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
0.0ms	x	@	-inf	(+.f64 (.f64 -1/2 y) (.f64 3/2 x))

rewrite61.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`unpow-prod-down`
608×	`fma-def`
600×	`log-prod`
583×	`log1p-expm1-u`
583×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	120	21
2	1590	21

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 -1/2 y) 2) (fma.f64 -1/2 y (.f64 -3/2 x))) (/.f64 (.f64 (pow.f64 x 2) 9/4) (fma.f64 -1/2 y (.f64 -3/2 x))))
(.f64 (fma.f64 3/2 x (.f64 -1/2 y)) 1)
(.f64 (fma.f64 3/2 x (.f64 -1/2 y)) (log.f64 (exp.f64 1)))
(.f64 1 (fma.f64 3/2 x (.f64 -1/2 y)))
(.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y))) (pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y))) 2) (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(.f64 (sqrt.f64 (fma.f64 3/2 x (.f64 -1/2 y))) (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3)) (/.f64 1 (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (neg.f64 (.f64 -1/2 y))) (pow.f64 (*.f64 -1/2 y) 2))))
(.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4)) (/.f64 1 (fma.f64 -1/2 y (.f64 -3/2 x))))
(.f64 (pow.f64 1 1/3) (fma.f64 3/2 x (.f64 -1/2 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) 2) 3) (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))) 3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 3/2 x (.f64 -1/2 y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 3/2 x (.f64 -1/2 y)) (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))))
(.f64 (pow.f64 (pow.f64 (fma.f64 3/2 x (.f64 -1/2 y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (neg.f64 (.f64 -1/2 y))) (pow.f64 (.f64 -1/2 y) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3))))
(/.f64 1 (/.f64 (fma.f64 -1/2 y (.f64 -3/2 x)) (-.f64 (pow.f64 (.f64 -1/2 y) 2) (*.f64 (pow.f64 x 2) 9/4))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3)) (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (neg.f64 (.f64 -1/2 y))) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3)) (fma.f64 (pow.f64 x 2) 9/4 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 -1/2 (.f64 y (*.f64 3/2 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 -1/2 y (*.f64 -3/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3))) (neg.f64 (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (neg.f64 (.f64 -1/2 y))) (pow.f64 (.f64 -1/2 y) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4))) (neg.f64 (fma.f64 -1/2 y (*.f64 -3/2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 9/4) (pow.f64 (.f64 -1/2 y) 2)) (fma.f64 3/2 x (neg.f64 (*.f64 -1/2 y))))
(pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 3)
(pow.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (neg.f64 (.f64 -1/2 y))) (pow.f64 (.f64 -1/2 y) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/2 y (.f64 -3/2 x)) (-.f64 (pow.f64 (.f64 -1/2 y) 2) (*.f64 (pow.f64 x 2) 9/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 2))
(log.f64 (exp.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(cbrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(exp.f64 (log.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(exp.f64 (.f64 (log.f64 (fma.f64 3/2 x (.f64 -1/2 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 3/2 x))
(fma.f64 (.f64 -1/2 y) 1 (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 3/2 x) 1 (.f64 -1/2 y))
(fma.f64 1 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 1 (.f64 3/2 x) (.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) -1/2) (.f64 3/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 3/2) (.f64 -1/2 y))
(fma.f64 (cbrt.f64 (.f64 3/2 x)) (pow.f64 (cbrt.f64 (.f64 3/2 x)) 2) (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3/2 x)) 2) (cbrt.f64 (.f64 3/2 x)) (*.f64 -1/2 y))
(fma.f64 (cbrt.f64 (.f64 -1/2 y)) (pow.f64 (cbrt.f64 (.f64 -1/2 y)) 2) (*.f64 3/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 y)) 2) (cbrt.f64 (.f64 -1/2 y)) (*.f64 3/2 x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) -1/2) (.f64 3/2 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 3/2) (.f64 -1/2 y))
(fma.f64 (sqrt.f64 (.f64 3/2 x)) (sqrt.f64 (.f64 3/2 x)) (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 -1/2 y)) (*.f64 3/2 x))
(fma.f64 (.f64 3/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 -1/2 y))
(fma.f64 (.f64 3/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 3/2 x))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (.f64 3/2 x))

simplify74.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

662×	`cancel-sign-sub-inv`
634×	`distribute-lft-neg-in`
574×	`distribute-rgt-neg-in`
536×	`fma-neg`
530×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2272
1	403	2216
2	1067	2182
3	4162	2182

Stop Event

1×	node limit

Counts

70 → 79

Calls

Call 1

Inputs
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 3/2 x)
(*.f64 3/2 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 -1/2 y) 2) (fma.f64 -1/2 y (.f64 -3/2 x))) (/.f64 (.f64 (pow.f64 x 2) 9/4) (fma.f64 -1/2 y (.f64 -3/2 x))))
(.f64 (fma.f64 3/2 x (.f64 -1/2 y)) 1)
(.f64 (fma.f64 3/2 x (.f64 -1/2 y)) (log.f64 (exp.f64 1)))
(.f64 1 (fma.f64 3/2 x (.f64 -1/2 y)))
(.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y))) (pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y))) 2) (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(.f64 (sqrt.f64 (fma.f64 3/2 x (.f64 -1/2 y))) (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3)) (/.f64 1 (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (neg.f64 (.f64 -1/2 y))) (pow.f64 (*.f64 -1/2 y) 2))))
(.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4)) (/.f64 1 (fma.f64 -1/2 y (.f64 -3/2 x))))
(.f64 (pow.f64 1 1/3) (fma.f64 3/2 x (.f64 -1/2 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) 2) 3) (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))) 3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 3/2 x (.f64 -1/2 y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 3/2 x (.f64 -1/2 y)) (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))))
(.f64 (pow.f64 (pow.f64 (fma.f64 3/2 x (.f64 -1/2 y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (neg.f64 (.f64 -1/2 y))) (pow.f64 (.f64 -1/2 y) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3))))
(/.f64 1 (/.f64 (fma.f64 -1/2 y (.f64 -3/2 x)) (-.f64 (pow.f64 (.f64 -1/2 y) 2) (*.f64 (pow.f64 x 2) 9/4))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3)) (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (neg.f64 (.f64 -1/2 y))) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3)) (fma.f64 (pow.f64 x 2) 9/4 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 -1/2 (.f64 y (*.f64 3/2 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 -1/2 y (*.f64 -3/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3))) (neg.f64 (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (neg.f64 (.f64 -1/2 y))) (pow.f64 (.f64 -1/2 y) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4))) (neg.f64 (fma.f64 -1/2 y (*.f64 -3/2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 9/4) (pow.f64 (.f64 -1/2 y) 2)) (fma.f64 3/2 x (neg.f64 (*.f64 -1/2 y))))
(pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 3)
(pow.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (neg.f64 (.f64 -1/2 y))) (pow.f64 (.f64 -1/2 y) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 3/2 x) 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/2 y (.f64 -3/2 x)) (-.f64 (pow.f64 (.f64 -1/2 y) 2) (*.f64 (pow.f64 x 2) 9/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 2))
(log.f64 (exp.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(cbrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(exp.f64 (log.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(exp.f64 (.f64 (log.f64 (fma.f64 3/2 x (.f64 -1/2 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 3/2 x))
(fma.f64 (.f64 -1/2 y) 1 (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 3/2 x) 1 (.f64 -1/2 y))
(fma.f64 1 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 1 (.f64 3/2 x) (.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) -1/2) (.f64 3/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 3/2) (.f64 -1/2 y))
(fma.f64 (cbrt.f64 (.f64 3/2 x)) (pow.f64 (cbrt.f64 (.f64 3/2 x)) 2) (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3/2 x)) 2) (cbrt.f64 (.f64 3/2 x)) (*.f64 -1/2 y))
(fma.f64 (cbrt.f64 (.f64 -1/2 y)) (pow.f64 (cbrt.f64 (.f64 -1/2 y)) 2) (*.f64 3/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 y)) 2) (cbrt.f64 (.f64 -1/2 y)) (*.f64 3/2 x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) -1/2) (.f64 3/2 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 3/2) (.f64 -1/2 y))
(fma.f64 (sqrt.f64 (.f64 3/2 x)) (sqrt.f64 (.f64 3/2 x)) (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 -1/2 y)) (*.f64 3/2 x))
(fma.f64 (.f64 3/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 -1/2 y))
(fma.f64 (.f64 3/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 3/2 x))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (.f64 3/2 x))

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

eval31.0ms (1.8%)

Compiler: Compiled 1181 to 905 computations (23.4% saved)

prune13.0ms (0.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	79	5	84

Accuracy

100.0%

Counts

84 → 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 -1/2 y) (.f64 3/2 x))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
✓	47.1%	(*.f64 3/2 x)
✓	54.6%	(*.f64 -1/2 y)

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes17.0ms (1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

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)

regimes15.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

regimes38.0ms (2.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
78.6%	3	`x`
80.8%	7	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.4%)

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	y
3.0ms	x

Results

Accuracy	Segments	Branch
54.6%	1	`y`
54.6%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch22.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.7002847867536977e+67	1.381227516922474e+68
14.0ms	-1.0118543658352365e-13	-1.9148895465445427e-16

Results

18.0ms	198×	body	256	valid
1.0ms	6×	body	1024	valid
0.0ms	3×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 170 to 140 computations (17.6% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`+-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	27	110
1	38	110
2	43	110
3	45	110
4	46	110

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 x -3961408125713217/39614081257132168796771975168) (.f64 3/2 x) (if (<=.f64 x 38000000000000002037837297717225532438543058589860404488408022384640) (.f64 -1/2 y) (*.f64 3/2 x)))
(*.f64 -1/2 y)

Outputs
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 x -3961408125713217/39614081257132168796771975168) (.f64 3/2 x) (if (<=.f64 x 38000000000000002037837297717225532438543058589860404488408022384640) (.f64 -1/2 y) (*.f64 3/2 x)))
(if (or (<=.f64 x -3961408125713217/39614081257132168796771975168) (not (<=.f64 x 38000000000000002037837297717225532438543058589860404488408022384640))) (.f64 x 3/2) (.f64 y -1/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)

Compiler

Compiled 39 to 29 computations (25.6% saved)

soundness113.0ms (6.6%)

Rules

1340×	`fma-def`
190×	`cancel-sign-sub-inv`
160×	`sub-neg`
136×	`fma-neg`
98×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	152
1	46	144
2	114	144
3	296	137
4	657	105
5	1185	105
6	1602	105
7	1723	105
8	1737	105

Stop Event

1×

saturated

Compiler

Compiled 231 to 173 computations (25.1% saved)

end0.0ms (0%)

preprocess52.0ms (3%)

Compiler: Compiled 102 to 72 computations (29.4% saved)

analyze0.0ms (0%)

sample745.0ms (43.4%)

preprocess177.0ms (10.3%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize50.0ms (2.9%)

series2.0ms (0.1%)

rewrite110.0ms (6.4%)

simplify67.0ms (3.9%)

eval25.0ms (1.4%)

prune13.0ms (0.8%)

localize76.0ms (4.4%)

series1.0ms (0.1%)

rewrite61.0ms (3.5%)

simplify74.0ms (4.3%)

eval31.0ms (1.8%)

prune13.0ms (0.7%)

regimes17.0ms (1%)

regimes15.0ms (0.9%)

regimes38.0ms (2.2%)

regimes7.0ms (0.4%)

bsearch22.0ms (1.3%)

simplify6.0ms (0.3%)

soundness113.0ms (6.6%)

end0.0ms (0%)

preprocess52.0ms (3%)

Profiling