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)

sample832.0ms (51%)

Results

711.0ms	7746×	body	256	valid
44.0ms	140×	body	512	valid
35.0ms	223×	body	1024	valid
29.0ms	146×	body	2048	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess105.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

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

Problems

256×

No Errors

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	220
1	57	204
2	161	204
3	459	178
4	957	147
5	1518	147
6	1788	147
7	1848	147
8	1852	147

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 30 to 16 computations (46.7% saved)

eval1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% 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))
▶	99.8%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
▶	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
▶	99.8%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize54.0ms (3.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.8%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))

Compiler

Compiled 33 to 22 computations (33.3% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite112.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`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 y -1/2) (.f64 x 3/2))

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

simplify66.0ms (4%)

Algorithm

1×	egg-herbie

Rules

636×	`cancel-sign-sub-inv`
600×	`distribute-lft-neg-in`
556×	`distribute-rgt-neg-in`
530×	`unswap-sqr`
524×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2674
1	400	2594
2	1057	2581
3	4248	2336

Stop Event

1×	node limit

Counts

88 → 79

Calls

Call 1

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

Outputs
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))) 1)
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (/.f64 (pow.f64 (.f64 y -1/2) 2) (fma.f64 y -1/2 (.f64 -3/2 x))) (/.f64 (pow.f64 (.f64 x 3/2) 2) (fma.f64 y -1/2 (.f64 -3/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (pow.f64 (.f64 3/2 x) 2)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 (.f64 y y) 1/4 (.f64 (pow.f64 x 2) -9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)
(.f64 (fma.f64 y -1/2 (.f64 x 3/2)) 1)
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (fma.f64 y -1/2 (.f64 x 3/2)) (log.f64 (exp.f64 1)))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 1 (fma.f64 y -1/2 (.f64 x 3/2)))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 x 3/2) 3)) (/.f64 1 (fma.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)) (pow.f64 (.f64 y -1/2) 2))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (fma.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (.f64 -1/2 y)) (pow.f64 (.f64 -1/2 y) 2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (.f64 y 1/2)) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 x (.f64 3/2 (fma.f64 3/2 x (.f64 y 1/2))) (pow.f64 (.f64 -1/2 y) 2)))
(.f64 (-.f64 (pow.f64 (.f64 y -1/2) 2) (pow.f64 (.f64 x 3/2) 2)) (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (pow.f64 (.f64 3/2 x) 2)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 (.f64 y y) 1/4 (.f64 (pow.f64 x 2) -9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)
(.f64 (pow.f64 1 1/3) (fma.f64 y -1/2 (.f64 x 3/2)))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2)))) 2) 3) (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))) 3))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y -1/2 (.f64 x 3/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3)) 1/3))
(fma.f64 3/2 x (*.f64 -1/2 y))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 y -1/2 (.f64 x 3/2)) (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) (cbrt.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)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 4) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 8)))
(.f64 (pow.f64 (pow.f64 (fma.f64 y -1/2 (.f64 x 3/2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 x (.f64 -1/2 y)) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)) (pow.f64 (.f64 y -1/2) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 x 3/2) 3))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (fma.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (.f64 -1/2 y)) (pow.f64 (.f64 -1/2 y) 2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (.f64 y 1/2)) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 x (.f64 3/2 (fma.f64 3/2 x (.f64 y 1/2))) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 1 (/.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) (-.f64 (pow.f64 (.f64 y -1/2) 2) (pow.f64 (*.f64 x 3/2) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (pow.f64 (.f64 3/2 x) 2)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 (.f64 y y) 1/4 (.f64 (pow.f64 x 2) -9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 x 3/2) 3)) (fma.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)) (pow.f64 (*.f64 y -1/2) 2)))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (fma.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (.f64 -1/2 y)) (pow.f64 (.f64 -1/2 y) 2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (.f64 y 1/2)) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 x (.f64 3/2 (fma.f64 3/2 x (.f64 y 1/2))) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 x 3/2) 3)) (fma.f64 (pow.f64 x 2) 9/4 (-.f64 (pow.f64 (.f64 y -1/2) 2) (.f64 y (.f64 -1/2 (*.f64 x 3/2))))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (fma.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (.f64 -1/2 y)) (pow.f64 (.f64 -1/2 y) 2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (.f64 y 1/2)) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 x (.f64 3/2 (fma.f64 3/2 x (.f64 y 1/2))) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 y -1/2) 2) (pow.f64 (.f64 x 3/2) 2)) (fma.f64 y -1/2 (*.f64 -3/2 x)))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (pow.f64 (.f64 3/2 x) 2)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 (.f64 y y) 1/4 (.f64 (pow.f64 x 2) -9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)
(/.f64 (neg.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 x 3/2) 3))) (neg.f64 (fma.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)) (pow.f64 (*.f64 y -1/2) 2))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (fma.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (.f64 -1/2 y)) (pow.f64 (.f64 -1/2 y) 2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (.f64 y 1/2)) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 x (.f64 3/2 (fma.f64 3/2 x (.f64 y 1/2))) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y -1/2) 2) (pow.f64 (.f64 x 3/2) 2))) (neg.f64 (fma.f64 y -1/2 (*.f64 -3/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (pow.f64 (.f64 3/2 x) 2)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 (.f64 y y) 1/4 (.f64 (pow.f64 x 2) -9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)
(/.f64 (-.f64 (pow.f64 (.f64 x 3/2) 2) (pow.f64 (.f64 y -1/2) 2)) (-.f64 (.f64 x 3/2) (.f64 y -1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (pow.f64 (.f64 3/2 x) 2)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 (.f64 y y) 1/4 (.f64 (pow.f64 x 2) -9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)
(pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 3)
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 2) 1/2)
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3) 1/3)
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2)
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (/.f64 (fma.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)) (pow.f64 (.f64 y -1/2) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 x 3/2) 3))) -1)
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (fma.f64 (.f64 3/2 x) (-.f64 (.f64 3/2 x) (.f64 -1/2 y)) (pow.f64 (.f64 -1/2 y) 2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 (.f64 3/2 x) (fma.f64 3/2 x (.f64 y 1/2)) (pow.f64 (.f64 -1/2 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) 27/8)) (fma.f64 x (.f64 3/2 (fma.f64 3/2 x (.f64 y 1/2))) (pow.f64 (.f64 -1/2 y) 2)))
(pow.f64 (/.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) (-.f64 (pow.f64 (.f64 y -1/2) 2) (pow.f64 (*.f64 x 3/2) 2))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (pow.f64 (.f64 3/2 x) 2)) (fma.f64 y -1/2 (*.f64 x -3/2)))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 y) 2) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 (.f64 y y) 1/4 (.f64 (pow.f64 x 2) -9/4)) (fma.f64 -1/2 y (*.f64 x -3/2)))
(/.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)
(sqrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(cbrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3))
(fma.f64 3/2 x (*.f64 -1/2 y))
(expm1.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (.f64 (log.f64 (fma.f64 y -1/2 (.f64 x 3/2))) 1))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 1) 1))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2)))) 3))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))) 1/3))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 x 3/2)))) 2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log1p.f64 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (.f64 y -1/2) 1 (.f64 x 3/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 x 3/2 (*.f64 y -1/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 3/2 x (*.f64 y -1/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (.f64 x 3/2) 1 (.f64 y -1/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1 (.f64 y -1/2) (.f64 x 3/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1 (.f64 x 3/2) (.f64 y -1/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 3/2) (.f64 y -1/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) -1/2) (.f64 x 3/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (cbrt.f64 (.f64 x 3/2)) (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (*.f64 y -1/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (cbrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (cbrt.f64 (.f64 y -1/2)) (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (*.f64 x 3/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (cbrt.f64 (.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 3/2) (.f64 y -1/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) -1/2) (.f64 x 3/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (.f64 3/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 y -1/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (.f64 3/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 y -1/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 3/2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 3/2))
(fma.f64 3/2 x (*.f64 -1/2 y))

eval27.0ms (1.7%)

Compiler: Compiled 1142 to 873 computations (23.6% saved)

prune13.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	77	4	81

Accuracy

100.0%

Counts

81 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
✓	99.8%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
▶	48.4%	(*.f64 3/2 x)
▶	53.1%	(*.f64 -1/2 y)
✓	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
✓	99.8%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
▶	48.4%	(*.f64 3/2 x)
▶	53.1%	(*.f64 -1/2 y)

Compiler

Compiled 54 to 42 computations (22.2% saved)

localize24.0ms (1.5%)

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

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	2	2
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
✓	99.8%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
✓	48.4%	(*.f64 3/2 x)
✓	53.1%	(*.f64 -1/2 y)

Compiler

Compiled 55 to 40 computations (27.3% saved)

regimes31.0ms (1.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	y
5.0ms	x
5.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))

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)

regimes14.0ms (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 y -1/2) (.f64 x 3/2))

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
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(+.f64 x (/.f64 (-.f64 x y) 2))`

Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes20.0ms (1.3%)

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:

10.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
80.9%	3	`x`
75.8%	3	`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	x
3.0ms	y

Results

Accuracy	Segments	Branch
53.1%	1	`y`
53.1%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch17.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.769912288314475e-41	1.020793438555925e-39
6.0ms	-3.388928385390618e-94	-2.6099358864000645e-94

Results

13.0ms	138×	body	256	valid
0.0ms	4×	body	512	valid
0.0ms	2×	body	1024	valid

Compiler

Compiled 122 to 100 computations (18% saved)

simplify5.0ms (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 -2771280247673123/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (.f64 3/2 x) (if (<=.f64 x 3984488406251311/6129982163463555433433388108601236734474956488734408704) (.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 -2771280247673123/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (.f64 3/2 x) (if (<=.f64 x 3984488406251311/6129982163463555433433388108601236734474956488734408704) (.f64 -1/2 y) (*.f64 3/2 x)))
(if (or (<=.f64 x -2771280247673123/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (not (<=.f64 x 3984488406251311/6129982163463555433433388108601236734474956488734408704))) (.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)

soundness237.0ms (14.5%)

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	220
1	57	204
2	161	204
3	459	178
4	957	147
5	1518	147
6	1788	147
7	1848	147
8	1852	147
0	25	220
1	57	204
2	161	204
3	459	178
4	957	147
5	1518	147
6	1788	147
7	1848	147
8	1852	147

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 528 to 369 computations (30.1% saved)

end0.0ms (0%)

preprocess58.0ms (3.6%)

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

analyze0.0ms (0%)

sample832.0ms (51%)

preprocess105.0ms (6.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize54.0ms (3.3%)

series2.0ms (0.1%)

rewrite112.0ms (6.9%)

simplify66.0ms (4%)

eval27.0ms (1.7%)

prune13.0ms (0.8%)

localize24.0ms (1.5%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes31.0ms (1.9%)

regimes14.0ms (0.9%)

regimes20.0ms (1.3%)

regimes7.0ms (0.4%)

bsearch17.0ms (1%)

simplify5.0ms (0.3%)

soundness237.0ms (14.5%)

end0.0ms (0%)

preprocess58.0ms (3.6%)

Profiling