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)

sample808.0ms (41.8%)

Results

720.0ms	7731×	body	256	valid
30.0ms	175×	body	2048	valid
30.0ms	220×	body	1024	valid
14.0ms	129×	body	512	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess99.0ms (5.1%)

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)

prune3.0ms (0.2%)

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)

localize49.0ms (2.6%)

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

rewrite112.0ms (5.8%)

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)))

simplify65.0ms (3.4%)

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))

eval23.0ms (1.2%)

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

prune19.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	73	6	79

Accuracy

100.0%

Counts

79 → 6

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 x 1/2) (-.f64 (.f64 y 1/2) x))
▶	99.9%	(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
▶	50.8%	(*.f64 3/2 x)
▶	50.1%	(*.f64 -1/2 y)
✓	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
▶	99.9%	(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
▶	99.9%	(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
▶	50.8%	(*.f64 3/2 x)
▶	50.1%	(*.f64 -1/2 y)

Compiler

Compiled 94 to 70 computations (25.5% saved)

localize62.0ms (3.2%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 53 to 34 computations (35.8% saved)

series2.0ms (0.1%)

Counts

2 → 30

Calls

12 calls:

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

rewrite90.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`log-prod`
898×	`fma-neg`
779×	`log1p-expm1-u`
779×	`expm1-log1p-u`
376×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	227	49
2	3575	49

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 y (*.f64 3/2 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 y 2) 1/4) (+.f64 (.f64 -1/2 y) (.f64 -3/2 x))) (/.f64 (pow.f64 (.f64 3/2 x) 2) (+.f64 (.f64 -1/2 y) (.f64 -3/2 x))))
(.f64 (fma.f64 -1/2 y (.f64 3/2 x)) 1)
(.f64 1 (fma.f64 -1/2 y (.f64 3/2 x)))
(.f64 (cbrt.f64 (fma.f64 -1/2 y (.f64 3/2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (.f64 3/2 x))) 2) (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(.f64 (sqrt.f64 (fma.f64 -1/2 y (.f64 3/2 x))) (sqrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (.f64 -1/2 y))))))
(.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (pow.f64 (.f64 3/2 x) 2)) (/.f64 1 (+.f64 (.f64 -1/2 y) (*.f64 -3/2 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (.f64 -1/2 y)))) (+.f64 (.f64 (pow.f64 x 3) 27/8) (*.f64 (pow.f64 y 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 (.f64 -1/2 y) (.f64 -3/2 x)) (-.f64 (.f64 (pow.f64 y 2) 1/4) (pow.f64 (.f64 3/2 x) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (*.f64 -1/2 y)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8)) (+.f64 (pow.f64 (.f64 3/2 x) 2) (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 -1/2 (.f64 y (*.f64 3/2 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (pow.f64 (.f64 3/2 x) 2)) (+.f64 (.f64 -1/2 y) (.f64 -3/2 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8))) (neg.f64 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (*.f64 -1/2 y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (pow.f64 (.f64 3/2 x) 2))) (neg.f64 (+.f64 (.f64 -1/2 y) (.f64 -3/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 3/2 x) 2) (.f64 (pow.f64 y 2) 1/4)) (-.f64 (.f64 3/2 x) (.f64 -1/2 y)))
(pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 y (*.f64 3/2 x)))))
(log.f64 (.f64 (pow.f64 (exp.f64 3/2) x) (+.f64 1 (expm1.f64 (.f64 -1/2 y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/2 x))) (pow.f64 (exp.f64 -1/2) y)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 y)))))
(log.f64 (.f64 (pow.f64 (exp.f64 -1/2) y) (+.f64 1 (expm1.f64 (.f64 3/2 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 y))) (pow.f64 (exp.f64 3/2) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 y))) (+.f64 1 (expm1.f64 (*.f64 3/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 y (.f64 3/2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(fma.f64 1 (.f64 3/2 x) (.f64 -1/2 y))
(fma.f64 1 (.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 (pow.f64 (cbrt.f64 (.f64 -1/2 y)) 2) (cbrt.f64 (.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 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 -1/2 y)) (*.f64 3/2 x))
(+.f64 x (*.f64 1/2 (-.f64 x y)))
(+.f64 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(+.f64 (.f64 x 1/2) (.f64 (neg.f64 (-.f64 (*.f64 -1/2 y) x)) 1))
(+.f64 (+.f64 x (.f64 1/2 (-.f64 x y))) (fma.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) 1 (-.f64 (*.f64 -1/2 y) x)))
(+.f64 (+.f64 x (.f64 1/2 (-.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 -1/2 y) x))) (pow.f64 (cbrt.f64 (-.f64 (.f64 -1/2 y) x)) 2) (-.f64 (.f64 -1/2 y) x)))
(+.f64 (+.f64 x (.f64 1/2 (-.f64 x y))) (+.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) (-.f64 (*.f64 -1/2 y) x)))
(+.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) (.f64 x 1/2))
(+.f64 (*.f64 1/2 (-.f64 x y)) x)
(+.f64 0 (+.f64 x (*.f64 1/2 (-.f64 x y))))
(+.f64 (.f64 (.f64 1/2 (-.f64 x y)) 1) x)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 x (.f64 1/2 (-.f64 x y))))) (cbrt.f64 (exp.f64 (+.f64 x (.f64 1/2 (-.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))))))
(.f64 (+.f64 x (.f64 1/2 (-.f64 x y))) 1)
(.f64 1 (+.f64 x (.f64 1/2 (-.f64 x y))))
(.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))) 2) (cbrt.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))) (sqrt.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (-.f64 (.f64 -1/2 y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (-.f64 (.f64 -1/2 y) x) (fma.f64 1/2 (-.f64 x y) (neg.f64 x))))))
(.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (*.f64 -1/2 y) x) 2)) (/.f64 1 (fma.f64 1/2 (-.f64 x y) (neg.f64 x))))
(.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (.f64 -1/2 y) x))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (*.f64 -1/2 y) x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (-.f64 (.f64 -1/2 y) x) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)))) (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (-.f64 (*.f64 -1/2 y) x) 3))))
(/.f64 1 (/.f64 (fma.f64 1/2 (-.f64 x y) (neg.f64 x)) (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (.f64 -1/2 y) x) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (-.f64 (.f64 -1/2 y) x) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (-.f64 (*.f64 -1/2 y) x) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (.f64 -1/2 y) x) 2)) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (-.f64 (.f64 -1/2 y) x) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (-.f64 (*.f64 -1/2 y) x) (fma.f64 1/2 (-.f64 x y) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (.f64 -1/2 y) x) 2))) (neg.f64 (fma.f64 1/2 (-.f64 x y) (neg.f64 x))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (fma.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) (neg.f64 (-.f64 (.f64 -1/2 y) x)) (neg.f64 (.f64 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (-.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 1/2 (-.f64 x y)) (.f64 1/2 (-.f64 x y))) (-.f64 (pow.f64 x 2) (.f64 (.f64 1/2 (-.f64 x y)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) (neg.f64 (-.f64 (.f64 -1/2 y) x)))) (-.f64 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x))))
(/.f64 (fma.f64 (.f64 1/2 (-.f64 x y)) (.f64 1/2 (-.f64 x y)) (neg.f64 (pow.f64 x 2))) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)))
(pow.f64 (+.f64 x (*.f64 1/2 (-.f64 x y))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 1/2 (-.f64 x y))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 1/2 (-.f64 x y))) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 1/2 (-.f64 x y))))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y))))
(log.f64 (.f64 (exp.f64 x) (exp.f64 (.f64 1/2 (-.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (.f64 1/2 (-.f64 x y)))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/2) x) (/.f64 1 (exp.f64 (-.f64 (.f64 -1/2 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (/.f64 1 (exp.f64 (-.f64 (*.f64 -1/2 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (exp.f64 (neg.f64 (-.f64 (*.f64 -1/2 y) x)))))
(log.f64 (.f64 (/.f64 1 (exp.f64 (-.f64 (.f64 -1/2 y) x))) (pow.f64 (exp.f64 1/2) x)))
(log.f64 (.f64 (/.f64 1 (exp.f64 (-.f64 (.f64 -1/2 y) x))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(log.f64 (.f64 (exp.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x))) (pow.f64 (exp.f64 1/2) x)))
(log.f64 (.f64 (exp.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y)) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (exp.f64 (.f64 1/2 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) (+.f64 1 (expm1.f64 (-.f64 (*.f64 -1/2 y) x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (exp.f64 (-.f64 (.f64 -1/2 y) x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (+.f64 1 (expm1.f64 (-.f64 (.f64 -1/2 y) x)))))
(log.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y)) (/.f64 1 (exp.f64 x))))
(log.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y)) (exp.f64 (neg.f64 x))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (-.f64 x y))) (/.f64 1 (exp.f64 x))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (-.f64 x y))) (exp.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 1/2 (-.f64 x y))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 -1/2 y) x)))
(fma.f64 1/2 x (neg.f64 (-.f64 (*.f64 -1/2 y) x)))
(fma.f64 1/2 (-.f64 x y) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 x 1/2) 1 (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(fma.f64 1 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(fma.f64 1 (*.f64 1/2 (-.f64 x y)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (neg.f64 (-.f64 (*.f64 -1/2 y) x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 -1/2 y) x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 -1/2 y) x)))
(fma.f64 (.f64 (cbrt.f64 (.f64 1/2 (-.f64 x y))) (cbrt.f64 (.f64 1/2 (-.f64 x y)))) (cbrt.f64 (.f64 1/2 (-.f64 x y))) (neg.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (.f64 1/2 (-.f64 x y))) (sqrt.f64 (.f64 1/2 (-.f64 x y))) (neg.f64 (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 -1/2 y))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 -1/2 y))) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 -1/2 y) x)))

simplify89.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1296×	`distribute-lft-in`
1278×	`distribute-rgt-in`
768×	`unswap-sqr`
664×	`times-frac`
594×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	5443
1	850	5110
2	2698	4750

Stop Event

1×	node limit

Counts

154 → 160

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 -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 (exp.f64 (log1p.f64 (fma.f64 -1/2 y (*.f64 3/2 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 y 2) 1/4) (+.f64 (.f64 -1/2 y) (.f64 -3/2 x))) (/.f64 (pow.f64 (.f64 3/2 x) 2) (+.f64 (.f64 -1/2 y) (.f64 -3/2 x))))
(.f64 (fma.f64 -1/2 y (.f64 3/2 x)) 1)
(.f64 1 (fma.f64 -1/2 y (.f64 3/2 x)))
(.f64 (cbrt.f64 (fma.f64 -1/2 y (.f64 3/2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (.f64 3/2 x))) 2) (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(.f64 (sqrt.f64 (fma.f64 -1/2 y (.f64 3/2 x))) (sqrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (.f64 -1/2 y))))))
(.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (pow.f64 (.f64 3/2 x) 2)) (/.f64 1 (+.f64 (.f64 -1/2 y) (*.f64 -3/2 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (.f64 -1/2 y)))) (+.f64 (.f64 (pow.f64 x 3) 27/8) (*.f64 (pow.f64 y 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 (.f64 -1/2 y) (.f64 -3/2 x)) (-.f64 (.f64 (pow.f64 y 2) 1/4) (pow.f64 (.f64 3/2 x) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (*.f64 -1/2 y)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8)) (+.f64 (pow.f64 (.f64 3/2 x) 2) (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 -1/2 (.f64 y (*.f64 3/2 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (pow.f64 (.f64 3/2 x) 2)) (+.f64 (.f64 -1/2 y) (.f64 -3/2 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8))) (neg.f64 (+.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (*.f64 -1/2 y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (pow.f64 (.f64 3/2 x) 2))) (neg.f64 (+.f64 (.f64 -1/2 y) (.f64 -3/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 3/2 x) 2) (.f64 (pow.f64 y 2) 1/4)) (-.f64 (.f64 3/2 x) (.f64 -1/2 y)))
(pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 y (*.f64 3/2 x)))))
(log.f64 (.f64 (pow.f64 (exp.f64 3/2) x) (+.f64 1 (expm1.f64 (.f64 -1/2 y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/2 x))) (pow.f64 (exp.f64 -1/2) y)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 y)))))
(log.f64 (.f64 (pow.f64 (exp.f64 -1/2) y) (+.f64 1 (expm1.f64 (.f64 3/2 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 y))) (pow.f64 (exp.f64 3/2) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 y))) (+.f64 1 (expm1.f64 (*.f64 3/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 y (.f64 3/2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 y (*.f64 3/2 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 x 3/2 (*.f64 -1/2 y))
(fma.f64 1 (.f64 3/2 x) (.f64 -1/2 y))
(fma.f64 1 (.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 (pow.f64 (cbrt.f64 (.f64 -1/2 y)) 2) (cbrt.f64 (.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 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 -1/2 y)) (*.f64 3/2 x))
(+.f64 x (*.f64 1/2 (-.f64 x y)))
(+.f64 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(+.f64 (.f64 x 1/2) (.f64 (neg.f64 (-.f64 (*.f64 -1/2 y) x)) 1))
(+.f64 (+.f64 x (.f64 1/2 (-.f64 x y))) (fma.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) 1 (-.f64 (*.f64 -1/2 y) x)))
(+.f64 (+.f64 x (.f64 1/2 (-.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 -1/2 y) x))) (pow.f64 (cbrt.f64 (-.f64 (.f64 -1/2 y) x)) 2) (-.f64 (.f64 -1/2 y) x)))
(+.f64 (+.f64 x (.f64 1/2 (-.f64 x y))) (+.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) (-.f64 (*.f64 -1/2 y) x)))
(+.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) (.f64 x 1/2))
(+.f64 (*.f64 1/2 (-.f64 x y)) x)
(+.f64 0 (+.f64 x (*.f64 1/2 (-.f64 x y))))
(+.f64 (.f64 (.f64 1/2 (-.f64 x y)) 1) x)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 x (.f64 1/2 (-.f64 x y))))) (cbrt.f64 (exp.f64 (+.f64 x (.f64 1/2 (-.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))))))
(.f64 (+.f64 x (.f64 1/2 (-.f64 x y))) 1)
(.f64 1 (+.f64 x (.f64 1/2 (-.f64 x y))))
(.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))) 2) (cbrt.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))) (sqrt.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (-.f64 (.f64 -1/2 y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (-.f64 (.f64 -1/2 y) x) (fma.f64 1/2 (-.f64 x y) (neg.f64 x))))))
(.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (*.f64 -1/2 y) x) 2)) (/.f64 1 (fma.f64 1/2 (-.f64 x y) (neg.f64 x))))
(.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (.f64 -1/2 y) x))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (*.f64 -1/2 y) x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (-.f64 (.f64 -1/2 y) x) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)))) (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (-.f64 (*.f64 -1/2 y) x) 3))))
(/.f64 1 (/.f64 (fma.f64 1/2 (-.f64 x y) (neg.f64 x)) (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (.f64 -1/2 y) x) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (-.f64 (.f64 -1/2 y) x) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (-.f64 (*.f64 -1/2 y) x) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (.f64 -1/2 y) x) 2)) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (-.f64 (.f64 -1/2 y) x) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (-.f64 (*.f64 -1/2 y) x) (fma.f64 1/2 (-.f64 x y) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (.f64 -1/2 y) x) 2))) (neg.f64 (fma.f64 1/2 (-.f64 x y) (neg.f64 x))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (fma.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) (neg.f64 (-.f64 (.f64 -1/2 y) x)) (neg.f64 (.f64 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (-.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 1/2 (-.f64 x y)) (.f64 1/2 (-.f64 x y))) (-.f64 (pow.f64 x 2) (.f64 (.f64 1/2 (-.f64 x y)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x)) (neg.f64 (-.f64 (.f64 -1/2 y) x)))) (-.f64 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x))))
(/.f64 (fma.f64 (.f64 1/2 (-.f64 x y)) (.f64 1/2 (-.f64 x y)) (neg.f64 (pow.f64 x 2))) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)))
(pow.f64 (+.f64 x (*.f64 1/2 (-.f64 x y))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 1/2 (-.f64 x y))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 1/2 (-.f64 x y))) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 1/2 (-.f64 x y))))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y))))
(log.f64 (.f64 (exp.f64 x) (exp.f64 (.f64 1/2 (-.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (.f64 1/2 (-.f64 x y)))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/2) x) (/.f64 1 (exp.f64 (-.f64 (.f64 -1/2 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (/.f64 1 (exp.f64 (-.f64 (*.f64 -1/2 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (exp.f64 (neg.f64 (-.f64 (*.f64 -1/2 y) x)))))
(log.f64 (.f64 (/.f64 1 (exp.f64 (-.f64 (.f64 -1/2 y) x))) (pow.f64 (exp.f64 1/2) x)))
(log.f64 (.f64 (/.f64 1 (exp.f64 (-.f64 (.f64 -1/2 y) x))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(log.f64 (.f64 (exp.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x))) (pow.f64 (exp.f64 1/2) x)))
(log.f64 (.f64 (exp.f64 (neg.f64 (-.f64 (.f64 -1/2 y) x))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y)) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (exp.f64 (.f64 1/2 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) (+.f64 1 (expm1.f64 (-.f64 (*.f64 -1/2 y) x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (exp.f64 (-.f64 (.f64 -1/2 y) x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (+.f64 1 (expm1.f64 (-.f64 (.f64 -1/2 y) x)))))
(log.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y)) (/.f64 1 (exp.f64 x))))
(log.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 -1/2) y)) (exp.f64 (neg.f64 x))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (-.f64 x y))) (/.f64 1 (exp.f64 x))))
(log.f64 (/.f64 (exp.f64 (*.f64 1/2 (-.f64 x y))) (exp.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 1/2 (-.f64 x y))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 1/2 (-.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 1/2 (-.f64 x y)))))
(fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 -1/2 y) x)))
(fma.f64 1/2 x (neg.f64 (-.f64 (*.f64 -1/2 y) x)))
(fma.f64 1/2 (-.f64 x y) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 x 1/2) 1 (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(fma.f64 1 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(fma.f64 1 (*.f64 1/2 (-.f64 x y)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (neg.f64 (-.f64 (*.f64 -1/2 y) x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 -1/2 y) x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 -1/2 y) x)))
(fma.f64 (.f64 (cbrt.f64 (.f64 1/2 (-.f64 x y))) (cbrt.f64 (.f64 1/2 (-.f64 x y)))) (cbrt.f64 (.f64 1/2 (-.f64 x y))) (neg.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (.f64 1/2 (-.f64 x y))) (sqrt.f64 (.f64 1/2 (-.f64 x y))) (neg.f64 (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 -1/2 y))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 -1/2 y))) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 -1/2 y) 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 -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)))
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(fma.f64 (.f64 (cbrt.f64 (.f64 1/2 (-.f64 x y))) (cbrt.f64 (.f64 1/2 (-.f64 x y)))) (cbrt.f64 (.f64 1/2 (-.f64 x y))) (neg.f64 (neg.f64 x)))
(fma.f64 1/2 (-.f64 x y) x)
(fma.f64 (sqrt.f64 (.f64 1/2 (-.f64 x y))) (sqrt.f64 (.f64 1/2 (-.f64 x y))) (neg.f64 (neg.f64 x)))
(fma.f64 1/2 (-.f64 x y) x)
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 -1/2 y))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 -1/2 y))) (neg.f64 (neg.f64 x)))
(-.f64 (*.f64 x 1/2) (fma.f64 -1/2 y (neg.f64 x)))
(fma.f64 x 1/2 (+.f64 (*.f64 y 1/2) x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(-.f64 (*.f64 x 1/2) (fma.f64 -1/2 y (neg.f64 x)))
(fma.f64 x 1/2 (+.f64 (*.f64 y 1/2) x))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 -1/2 y) x)))
(-.f64 (*.f64 x 1/2) (fma.f64 -1/2 y (neg.f64 x)))
(fma.f64 x 1/2 (+.f64 (*.f64 y 1/2) x))
(fma.f64 y 1/2 (*.f64 3/2 x))

eval53.0ms (2.8%)

Compiler: Compiled 2642 to 1800 computations (31.9% saved)

prune49.0ms (2.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	160	6	166

Accuracy

100.0%

Counts

166 → 6

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 x 1/2) (-.f64 (.f64 y 1/2) x))
✓	99.9%	(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
✓	50.8%	(*.f64 3/2 x)
✓	50.1%	(*.f64 -1/2 y)

Compiler

Compiled 84 to 60 computations (28.6% saved)

regimes17.0ms (0.9%)

Counts

6 → 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))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) 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))
5.0ms	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 52 to 35 computations (32.7% saved)

regimes21.0ms (1.1%)

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

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

Calls

3 calls:

10.0ms	x
5.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))
5.0ms	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 46 to 31 computations (32.6% saved)

regimes62.0ms (3.2%)

Counts

2 → 5

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

Calls

2 calls:

46.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
78.8%	5	`x`
76.4%	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes6.0ms (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
50.1%	1	`y`
50.1%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch95.0ms (4.9%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.2514570024397886e-45	8.863220253600484e-40
14.0ms	-5.4664869484483396e-92	-8.047534060779601e-100
48.0ms	-5.314435441992141e-64	-1.178013672735883e-70
16.0ms	-8.645786780110485e+30	-7133415780513076000.0

Results

83.0ms	576×	body	256	valid
2.0ms	12×	body	1024	valid
0.0ms	3×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 458 to 380 computations (17% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
6×	`+-commutative`
6×	`not-not`
6×	`if-if-or-not`
6×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	154
1	44	151
2	52	148
3	60	144
4	65	144
5	69	144
6	70	144
7	71	144

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 -175000000000000000000) (.f64 3/2 x) (if (<=.f64 x -3187191151307837/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 -1/2 y) (if (<=.f64 x -7926331216861687/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (.f64 3/2 x) (if (<=.f64 x 68962299338965/191561942608236107294793378393788647952342390272950272) (.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 -175000000000000000000) (.f64 3/2 x) (if (<=.f64 x -3187191151307837/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 -1/2 y) (if (<=.f64 x -7926331216861687/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (.f64 3/2 x) (if (<=.f64 x 68962299338965/191561942608236107294793378393788647952342390272950272) (.f64 -1/2 y) (*.f64 3/2 x)))))
(if (<=.f64 x -175000000000000000000) (.f64 x 3/2) (if (<=.f64 x -3187191151307837/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 y -1/2) (if (or (<=.f64 x -7926331216861687/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (not (<=.f64 x 68962299338965/191561942608236107294793378393788647952342390272950272))) (.f64 x 3/2) (.f64 y -1/2))))
(if (<=.f64 x -175000000000000000000) (.f64 x 3/2) (if (or (<=.f64 x -3187191151307837/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (not (or (<=.f64 x -7926331216861687/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (not (<=.f64 x 68962299338965/191561942608236107294793378393788647952342390272950272))))) (.f64 y -1/2) (*.f64 x 3/2)))
(if (or (<=.f64 x -175000000000000000000) (not (or (<=.f64 x -3187191151307837/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (not (or (<=.f64 x -7926331216861687/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (not (<=.f64 x 68962299338965/191561942608236107294793378393788647952342390272950272))))))) (.f64 x 3/2) (.f64 y -1/2))
(if (or (<=.f64 x -175000000000000000000) (not (or (<=.f64 x -3187191151307837/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (and (not (<=.f64 x -7926331216861687/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936)) (<=.f64 x 68962299338965/191561942608236107294793378393788647952342390272950272))))) (.f64 x 3/2) (.f64 y -1/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)

Compiler

Compiled 48 to 36 computations (25% saved)

soundness136.0ms (7%)

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%)

preprocess62.0ms (3.2%)

Compiler: Compiled 120 to 86 computations (28.3% saved)

analyze0.0ms (0%)

sample808.0ms (41.8%)

preprocess99.0ms (5.1%)

eval1.0ms (0%)

prune3.0ms (0.2%)

localize49.0ms (2.6%)

series2.0ms (0.1%)

rewrite112.0ms (5.8%)

simplify65.0ms (3.4%)

eval23.0ms (1.2%)

prune19.0ms (1%)

localize62.0ms (3.2%)

series2.0ms (0.1%)

rewrite90.0ms (4.7%)

simplify89.0ms (4.6%)

eval53.0ms (2.8%)

prune49.0ms (2.5%)

regimes17.0ms (0.9%)

regimes21.0ms (1.1%)

regimes62.0ms (3.2%)

regimes6.0ms (0.3%)

bsearch95.0ms (4.9%)

simplify7.0ms (0.4%)

soundness136.0ms (7%)

end0.0ms (0%)

preprocess62.0ms (3.2%)

Profiling