Metrics for Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

analyze9.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample979.0ms (33.8%)

Results

845.0ms	7249×	body	256	valid
119.0ms	1007×	body	256	infinite

Bogosity

preprocess186.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1038×	`fma-def`
1007×	`div-sub`
536×	`fma-neg`
381×	`times-frac`
302×	`*-commutative`

Problems

256×

No Errors

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	103
1	34	95
2	75	95
3	175	95
4	405	95
5	991	87
6	2829	79
7	4823	79
8	5828	79
9	6371	79
10	6839	79
11	7099	79

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 27 to 11 computations (59.3% saved)

eval1.0ms (0%)

Compiler: Compiled 34 to 24 computations (29.4% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize43.0ms (1.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
	99.7%	(*.f64 x (/.f64 -1/2 y))
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	99.7%	(*.f64 x (/.f64 -1/2 y))

Compiler

Compiled 37 to 18 computations (51.4% saved)

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (2.6%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

362×	`frac-times`
103×	`times-frac`
95×	`frac-2neg`
83×	`associate-r`
81×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	52	26
2	364	26
3	4860	26

Stop Event

1×

unsound

Counts

2 → 46

Calls

Call 1

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

Outputs
-2
-1
-1/2
0
1/2
1
2
4
x
y
-2
-1
-1/2
0
1/2
1
2
4
x
y

Calls

6 calls:

1.0ms	(*.f64 x (/.f64 -1/2 y))
0.0ms	(*.f64 x (/.f64 -1/2 y))
0.0ms	(/.f64 (+.f64 x y) (+.f64 y y))
0.0ms	(/.f64 (+.f64 x y) (+.f64 y y))
0.0ms	(*.f64 x (/.f64 -1/2 y))

simplify340.0ms (11.7%)

Algorithm

1×	egg-herbie

Rules

473×	`exp-sum`
371×	`associate-r`
367×	`associate-/l/`
326×	`associate-/r/`
288×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	1252
1	132	1180
2	542	1180
3	2458	1180
4	6419	1180

Stop Event

1×	node limit

Counts

94 → 48

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 x y))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
-2
-1
-1/2
0
1/2
1
2
4
(exp.f64 (log.f64 (*.f64 x (/.f64 -1/2 y))))
(log.f64 (exp.f64 (*.f64 x (/.f64 -1/2 y))))
(.f64 (sqrt.f64 (.f64 x (/.f64 -1/2 y))) (sqrt.f64 (*.f64 x (/.f64 -1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 -1/2 y))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 -1/2 y))))
(.f64 1 (.f64 x (/.f64 -1/2 y)))
(.f64 (.f64 (cbrt.f64 (.f64 x (/.f64 -1/2 y))) (cbrt.f64 (.f64 x (/.f64 -1/2 y)))) (cbrt.f64 (*.f64 x (/.f64 -1/2 y))))
(cbrt.f64 (.f64 (.f64 (.f64 x (/.f64 -1/2 y)) (.f64 x (/.f64 -1/2 y))) (*.f64 x (/.f64 -1/2 y))))
(pow.f64 (*.f64 x (/.f64 -1/2 y)) 1)
(binary32->binary64 (binary64->binary32 (*.f64 x (/.f64 -1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (/.f64 -1/2 y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (/.f32 -1/2 (binary64->binary32 y))))
-2
-1
-1/2
0
1/2
1
2
4
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(*.f64 1 (/.f64 (+.f64 x y) (+.f64 y y)))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y)))) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) (/.f64 (+.f64 x y) (+.f64 y y))) (/.f64 (+.f64 x y) (+.f64 y y))))
(pow.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1)
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x y) (+.f64 y y))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x y) (+.f64 y y))))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 y)) (+.f32 (binary64->binary32 y) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (/.f64 -1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (/.f64 -1/2 y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (/.f32 -1/2 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x y) (+.f64 y y))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x y) (+.f64 y y))))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 y)) (+.f32 (binary64->binary32 y) (binary64->binary32 y))))

Outputs
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 x y) 1/2)
(/.f64 1/2 (/.f64 y x))
(*.f64 (/.f64 1/2 y) x)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 x y) 1/2)
(/.f64 1/2 (/.f64 y x))
(*.f64 (/.f64 1/2 y) x)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 x y) 1/2)
(/.f64 1/2 (/.f64 y x))
(*.f64 (/.f64 1/2 y) x)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (/.f64 x y) 1/2))
(fma.f64 (/.f64 x y) 1/2 1/2)
-2
-1
-1/2
0
1/2
1
2
4
(exp.f64 (log.f64 (*.f64 x (/.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(log.f64 (exp.f64 (*.f64 x (/.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(.f64 (sqrt.f64 (.f64 x (/.f64 -1/2 y))) (sqrt.f64 (*.f64 x (/.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(.f64 1 (.f64 x (/.f64 -1/2 y)))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(.f64 (.f64 (cbrt.f64 (.f64 x (/.f64 -1/2 y))) (cbrt.f64 (.f64 x (/.f64 -1/2 y)))) (cbrt.f64 (*.f64 x (/.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(cbrt.f64 (.f64 (.f64 (.f64 x (/.f64 -1/2 y)) (.f64 x (/.f64 -1/2 y))) (*.f64 x (/.f64 -1/2 y))))
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(pow.f64 (*.f64 x (/.f64 -1/2 y)) 1)
(*.f64 -1/2 (/.f64 x y))
(*.f64 x (/.f64 -1/2 y))
(binary32->binary64 (binary64->binary32 (*.f64 x (/.f64 -1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 -1/2 (/.f64 x y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (/.f64 -1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 -1/2 (/.f64 x y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (/.f32 -1/2 (binary64->binary32 y))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (/.f32 (binary64->binary32 y) -1/2)))
(binary32->binary64 (*.f32 -1/2 (/.f32 (binary64->binary32 x) (binary64->binary32 y))))
-2
-1
-1/2
0
1/2
1
2
4
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(/.f64 (+.f64 x y) (+.f64 y y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 1/2 y))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(/.f64 (+.f64 x y) (+.f64 y y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 1/2 y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(/.f64 (+.f64 x y) (+.f64 y y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 1/2 y))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(/.f64 (+.f64 x y) (+.f64 y y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 1/2 y))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(/.f64 (+.f64 x y) (+.f64 y y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 1/2 y))
(*.f64 1 (/.f64 (+.f64 x y) (+.f64 y y)))
(/.f64 (+.f64 x y) (+.f64 y y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 1/2 y))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y)))) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y y))))
(/.f64 (+.f64 x y) (+.f64 y y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 1/2 y))
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) (/.f64 (+.f64 x y) (+.f64 y y))) (/.f64 (+.f64 x y) (+.f64 y y))))
(/.f64 (+.f64 x y) (+.f64 y y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 1/2 y))
(pow.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1)
(/.f64 (+.f64 x y) (+.f64 y y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 1/2 y))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x y) (+.f64 y y))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(binary32->binary64 (binary64->binary32 (*.f64 (+.f64 x y) (/.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x y) (+.f64 y y))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(binary32->binary64 (binary64->binary32 (*.f64 (+.f64 x y) (/.f64 1/2 y))))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 y)) (+.f32 (binary64->binary32 y) (binary64->binary32 y))))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 y)) (*.f32 2 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (/.f64 -1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 -1/2 (/.f64 x y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (/.f64 -1/2 y))))
(binary32->binary64 (binary64->binary32 (*.f64 -1/2 (/.f64 x y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (/.f32 -1/2 (binary64->binary32 y))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (/.f32 (binary64->binary32 y) -1/2)))
(binary32->binary64 (*.f32 -1/2 (/.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x y) (+.f64 y y))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(binary32->binary64 (binary64->binary32 (*.f64 (+.f64 x y) (/.f64 1/2 y))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x y) (+.f64 y y))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(binary32->binary64 (binary64->binary32 (*.f64 (+.f64 x y) (/.f64 1/2 y))))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 y)) (+.f32 (binary64->binary32 y) (binary64->binary32 y))))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 y)) (*.f32 2 (binary64->binary32 y))))

eval8.0ms (0.3%)

Compiler: Compiled 429 to 219 computations (49% saved)

prune11.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	44	6	50

Accuracy

100.0%

Counts

50 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.4%	(/.f64 1/2 (/.f64 y x))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
▶	2.3%	(-.f64 1/2 4)
▶	10.1%	(-.f64 1/2 -2)
▶	51.6%	(*.f64 (/.f64 x y) 1/2)
	50.4%	1/2
▶	51.4%	(/.f64 1/2 (/.f64 y x))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
▶	2.3%	(-.f64 1/2 4)
▶	10.1%	(-.f64 1/2 -2)
▶	51.6%	(*.f64 (/.f64 x y) 1/2)
	50.4%	1/2

Compiler

Compiled 72 to 60 computations (16.7% saved)

localize83.0ms (2.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	99.3%	(/.f64 1/2 (/.f64 y x))
	100.0%	(*.f64 (/.f64 x y) 1/2)
✓	99.3%	(/.f64 1/2 (/.f64 y x))
✓	100.0%	(*.f64 (/.f64 x y) 1/2)

Compiler

Compiled 35 to 21 computations (40% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite190.0ms (6.6%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

614×	`frac-2neg`
453×	`log-div`
378×	`log-prod`
357×	`frac-times`
300×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	33	26
2	139	26
3	616	26
4	3682	26

Stop Event

1×	node limit

Counts

2 → 258

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 x (/.f64 1/2 y)))
(+.f64 0 (*.f64 x (neg.f64 (/.f64 -1/2 y))))
(+.f64 0 (.f64 (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)) (neg.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2))))
(+.f64 0 (*.f64 (neg.f64 (neg.f64 (/.f64 -1/2 y))) (neg.f64 x)))
(+.f64 0 (.f64 (neg.f64 (.f64 -1/2 (pow.f64 (/.f64 x y) 1/2))) (pow.f64 (/.f64 x y) 1/2)))
(+.f64 0 (.f64 (neg.f64 (/.f64 (.f64 x 1/2) (neg.f64 (*.f64 y y)))) y))
(+.f64 0 (.f64 (neg.f64 (/.f64 (.f64 x 1/2) (neg.f64 (pow.f64 y 3)))) (*.f64 y y)))
(+.f64 0 (.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2))) (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2)))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 x (/.f64 1/2 y)))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 x (neg.f64 (/.f64 -1/2 y))))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)) (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2))))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (neg.f64 (/.f64 -1/2 y))) (neg.f64 x)))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 1/2))) (pow.f64 (/.f64 x y) 1/2)))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (/.f64 (.f64 x 1/2) (neg.f64 (.f64 y y)))) y))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (/.f64 (.f64 x 1/2) (neg.f64 (pow.f64 y 3)))) (.f64 y y)))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2))) (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)))
(+.f64 (.f64 (/.f64 -1/2 y) 0) (.f64 x (/.f64 1/2 y)))
(+.f64 (.f64 0 (/.f64 -1/2 y)) (.f64 x (/.f64 1/2 y)))
(-.f64 0 (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 0 (.f64 y -2)) (.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 0 (/.f64 -1 x)) (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) -1)) (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 (/.f64 0 (.f64 y -2)) 1) (.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 (/.f64 0 (.f64 x x)) (.f64 y -2)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 x x)) (.f64 y -2)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) 1)) (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 (/.f64 0 (.f64 x x)) (.f64 (.f64 y -2) 1)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 x x)) (.f64 (.f64 y -2) 1)))
(-.f64 (/.f64 0 (.f64 (.f64 y 2) -1)) (/.f64 x (.f64 (.f64 y 2) -1)))
(-.f64 (/.f64 (/.f64 0 (.f64 x x)) (.f64 (.f64 y 2) -1)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 x x)) (.f64 (.f64 y 2) -1)))
(-.f64 (/.f64 0 (/.f64 2 x)) (/.f64 (/.f64 -1 y) (/.f64 2 x)))
(-.f64 (/.f64 0 (/.f64 -2 x)) (/.f64 (/.f64 1 y) (/.f64 -2 x)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) x)) (/.f64 (.f64 x x) (.f64 (*.f64 y -2) x)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) (.f64 x x))) (/.f64 (pow.f64 x 3) (.f64 (.f64 y -2) (.f64 x x))))
(/.f64 x (*.f64 y 2))
(/.f64 x (.f64 (.f64 y -2) -1))
(/.f64 x (neg.f64 (.f64 (.f64 y -2) 1)))
(/.f64 x (neg.f64 (.f64 (.f64 y 2) -1)))
(/.f64 (/.f64 x y) 2)
(/.f64 1/2 (/.f64 y x))
(/.f64 (*.f64 x (/.f64 1/2 y)) 1)
(/.f64 (neg.f64 x) (*.f64 y -2))
(/.f64 (neg.f64 x) (.f64 (.f64 y -2) 1))
(/.f64 (neg.f64 x) (.f64 (.f64 y 2) -1))
(/.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 y -2) -1)))
(/.f64 -1/2 (/.f64 y (neg.f64 x)))
(/.f64 1 (/.f64 y (*.f64 x 1/2)))
(/.f64 (/.f64 1 y) (/.f64 2 x))
(/.f64 (/.f64 1 y) (neg.f64 (/.f64 -2 x)))
(/.f64 (*.f64 x 1/2) y)
(/.f64 (/.f64 1/2 y) (/.f64 1 x))
(/.f64 -1 (*.f64 y (/.f64 -2 x)))
(/.f64 (/.f64 x (neg.f64 y)) -2)
(/.f64 (/.f64 -1 y) (/.f64 -2 x))
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(/.f64 (/.f64 -1/2 y) (/.f64 -1 x))
(/.f64 (pow.f64 (/.f64 x y) 1/2) (/.f64 2 (pow.f64 (/.f64 x y) 1/2)))
(/.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2) (/.f64 1 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 y -2) x))
(/.f64 (*.f64 x (/.f64 -1/2 y)) -1)
(/.f64 (neg.f64 (pow.f64 x 3)) (.f64 (.f64 y -2) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) 1) (.f64 x (.f64 y -2)))
(/.f64 (.f64 (neg.f64 (pow.f64 x 3)) 1) (.f64 (.f64 x x) (.f64 y -2)))
(/.f64 (.f64 1 (neg.f64 (.f64 x x))) (.f64 (.f64 y -2) x))
(/.f64 (.f64 1 (neg.f64 (pow.f64 x 3))) (.f64 (.f64 y -2) (.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) 1/2) (*.f64 x (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) -1/2) (*.f64 x y))
(/.f64 (.f64 (neg.f64 (pow.f64 x 3)) 1/2) (.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 x 3)) -1/2) (.f64 (*.f64 x x) y))
(/.f64 (.f64 1/2 (neg.f64 (.f64 x x))) (*.f64 (neg.f64 y) x))
(/.f64 (.f64 1/2 (neg.f64 (pow.f64 x 3))) (.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (.f64 -1/2 (neg.f64 (.f64 x x))) (*.f64 y x))
(/.f64 (.f64 -1/2 (neg.f64 (pow.f64 x 3))) (.f64 y (*.f64 x x)))
(/.f64 (.f64 (/.f64 1/2 y) (neg.f64 (.f64 x x))) (neg.f64 x))
(/.f64 (.f64 (/.f64 1/2 y) (neg.f64 (pow.f64 x 3))) (.f64 -1 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 -1/2 y)) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 (.f64 x x))) (neg.f64 (.f64 (*.f64 y -2) x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x 3))) (neg.f64 (.f64 (.f64 y -2) (*.f64 x x))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) 1/2)) (neg.f64 (/.f64 2 (pow.f64 (/.f64 x y) 1/2))))
(/.f64 (/.f64 (/.f64 1/2 y) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (.f64 (/.f64 -1/2 y) (neg.f64 (.f64 x x))) x)
(/.f64 (.f64 (/.f64 -1/2 y) (neg.f64 (pow.f64 x 3))) (.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 -1/2 y)) x)
(/.f64 (.f64 (neg.f64 (pow.f64 x 3)) (/.f64 -1/2 y)) (.f64 x x))
(/.f64 (/.f64 1/2 (pow.f64 (/.f64 x y) -1/2)) (pow.f64 (/.f64 x y) -1/2))
(/.f64 (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)) (neg.f64 (/.f64 1 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2))))
(/.f64 (-.f64 (.f64 0 (.f64 y -2)) (.f64 (.f64 y 2) x)) (.f64 (.f64 y 2) (*.f64 y -2)))
(/.f64 (-.f64 (.f64 0 (.f64 (.f64 y -2) 1)) (.f64 (.f64 y 2) x)) (.f64 (.f64 y 2) (.f64 (*.f64 y -2) 1)))
(/.f64 (-.f64 0 (.f64 (.f64 y 2) (/.f64 x y))) (.f64 (.f64 y 2) -2))
(/.f64 (-.f64 0 (.f64 (.f64 y 2) 1/2)) (.f64 (.f64 y 2) (/.f64 y (neg.f64 x))))
(/.f64 (-.f64 0 (.f64 (.f64 y 2) (.f64 x (/.f64 1/2 y)))) (.f64 (*.f64 y 2) -1))
(/.f64 (-.f64 (.f64 0 (.f64 y 2)) (.f64 (.f64 y 2) (neg.f64 x))) (.f64 (.f64 y 2) (*.f64 y 2)))
(/.f64 (-.f64 (.f64 0 (.f64 (.f64 y -2) -1)) (.f64 (.f64 y 2) (neg.f64 x))) (.f64 (.f64 y 2) (.f64 (*.f64 y -2) -1)))
(/.f64 (-.f64 0 (.f64 (.f64 y 2) -1/2)) (.f64 (.f64 y 2) (/.f64 y x)))
(/.f64 (-.f64 (.f64 0 (.f64 y (/.f64 -2 x))) (.f64 y 2)) (.f64 (.f64 y 2) (.f64 y (/.f64 -2 x))))
(/.f64 (-.f64 0 (.f64 (.f64 y 2) (.f64 x 1/2))) (.f64 (*.f64 y 2) (neg.f64 y)))
(/.f64 (-.f64 0 (.f64 (.f64 y 2) (/.f64 1/2 y))) (*.f64 y (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 0 (/.f64 y (.f64 x 1/2))) (.f64 (.f64 y 2) -1)) (.f64 (.f64 y 2) (/.f64 y (*.f64 x 1/2))))
(/.f64 (-.f64 0 (.f64 (.f64 y 2) (/.f64 x (neg.f64 y)))) (.f64 (.f64 y 2) 2))
(/.f64 (-.f64 0 (.f64 (.f64 y 2) (.f64 x -1/2))) (.f64 (*.f64 y 2) y))
(/.f64 (-.f64 0 (.f64 (.f64 y 2) (/.f64 -1/2 y))) (/.f64 y (*.f64 x 1/2)))
(/.f64 (-.f64 0 (.f64 (.f64 y 2) (.f64 x (/.f64 -1/2 y)))) (.f64 y 2))
(/.f64 (-.f64 0 (.f64 (.f64 y 2) (neg.f64 (/.f64 -1/2 y)))) (*.f64 y (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 0 (pow.f64 (/.f64 x y) -1/2)) (.f64 (.f64 y 2) (/.f64 -1/2 (pow.f64 (/.f64 x y) -1/2)))) (.f64 (*.f64 y 2) (pow.f64 (/.f64 x y) -1/2)))
(/.f64 (-.f64 (.f64 0 (.f64 y -2)) (.f64 (.f64 y -2) x)) (.f64 (.f64 y -2) (*.f64 y -2)))
(/.f64 (-.f64 (.f64 0 (.f64 (.f64 y -2) 1)) (.f64 (.f64 y -2) x)) (.f64 (.f64 y -2) (.f64 (*.f64 y -2) 1)))
(/.f64 (-.f64 0 (.f64 (.f64 y -2) (/.f64 x y))) (.f64 (.f64 y -2) -2))
(/.f64 (-.f64 0 (.f64 (.f64 y -2) 1/2)) (.f64 (.f64 y -2) (/.f64 y (neg.f64 x))))
(/.f64 (-.f64 0 (.f64 (.f64 y -2) (.f64 x (/.f64 1/2 y)))) (.f64 (*.f64 y -2) -1))
(/.f64 (-.f64 (.f64 0 (.f64 y 2)) (.f64 (.f64 y -2) (neg.f64 x))) (.f64 (.f64 y -2) (*.f64 y 2)))
(/.f64 (-.f64 (.f64 0 (.f64 (.f64 y -2) -1)) (.f64 (.f64 y -2) (neg.f64 x))) (.f64 (.f64 y -2) (.f64 (*.f64 y -2) -1)))
(/.f64 (-.f64 0 (.f64 (.f64 y -2) -1/2)) (.f64 (.f64 y -2) (/.f64 y x)))
(/.f64 (-.f64 (.f64 0 (.f64 y (/.f64 -2 x))) (.f64 (.f64 y -2) 1)) (.f64 (.f64 y -2) (*.f64 y (/.f64 -2 x))))
(/.f64 (-.f64 0 (.f64 (.f64 y -2) (.f64 x 1/2))) (.f64 (*.f64 y -2) (neg.f64 y)))
(/.f64 (-.f64 0 (.f64 (.f64 y -2) (/.f64 1/2 y))) (/.f64 y (*.f64 x 1/2)))
(/.f64 (-.f64 (.f64 0 (/.f64 y (.f64 x 1/2))) (.f64 (.f64 y -2) -1)) (.f64 (.f64 y -2) (/.f64 y (*.f64 x 1/2))))
(/.f64 (-.f64 0 (.f64 (.f64 y -2) (/.f64 x (neg.f64 y)))) (.f64 (.f64 y -2) 2))
(/.f64 (-.f64 0 (.f64 (.f64 y -2) (.f64 x -1/2))) (.f64 (*.f64 y -2) y))
(/.f64 (-.f64 0 (.f64 (.f64 y -2) (/.f64 -1/2 y))) (*.f64 y (/.f64 -2 x)))
(/.f64 (-.f64 0 (.f64 (.f64 y -2) (.f64 x (/.f64 -1/2 y)))) (.f64 (*.f64 y -2) 1))
(/.f64 (-.f64 0 (.f64 (.f64 y -2) (neg.f64 (/.f64 -1/2 y)))) (/.f64 y (*.f64 x 1/2)))
(/.f64 (-.f64 (.f64 0 (pow.f64 (/.f64 x y) -1/2)) (.f64 (.f64 y -2) (/.f64 -1/2 (pow.f64 (/.f64 x y) -1/2)))) (.f64 (*.f64 y -2) (pow.f64 (/.f64 x y) -1/2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 -1/2 y))) (/.f64 -1 x))
(/.f64 (neg.f64 (/.f64 (/.f64 1/2 y) (pow.f64 x -1/2))) (neg.f64 (pow.f64 x -1/2)))
(/.f64 (neg.f64 (/.f64 1/2 (pow.f64 (/.f64 x y) -1/2))) (neg.f64 (pow.f64 (/.f64 x y) -1/2)))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 x x)) 1)) (neg.f64 (.f64 x (.f64 y -2))))
(/.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 x 3)) 1)) (neg.f64 (.f64 (.f64 x x) (.f64 y -2))))
(/.f64 (neg.f64 (.f64 1 (neg.f64 (.f64 x x)))) (neg.f64 (.f64 (.f64 y -2) x)))
(/.f64 (neg.f64 (.f64 1 (neg.f64 (pow.f64 x 3)))) (neg.f64 (.f64 (.f64 y -2) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 x x)) 1/2)) (neg.f64 (*.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 x x)) -1/2)) (neg.f64 (*.f64 x y)))
(/.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 x 3)) 1/2)) (neg.f64 (.f64 (*.f64 x x) (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 x 3)) -1/2)) (neg.f64 (.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (.f64 1/2 (neg.f64 (.f64 x x)))) (neg.f64 (*.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 (.f64 1/2 (neg.f64 (pow.f64 x 3)))) (neg.f64 (.f64 (neg.f64 y) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 -1/2 (neg.f64 (.f64 x x)))) (neg.f64 (*.f64 y x)))
(/.f64 (neg.f64 (.f64 -1/2 (neg.f64 (pow.f64 x 3)))) (neg.f64 (.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (/.f64 1/2 y) (neg.f64 (.f64 x x)))) x)
(/.f64 (neg.f64 (.f64 (/.f64 1/2 y) (neg.f64 (pow.f64 x 3)))) (neg.f64 (.f64 -1 (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (/.f64 -1/2 y) (neg.f64 (.f64 x x)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (/.f64 -1/2 y) (neg.f64 (pow.f64 x 3)))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 -1/2 y))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 x 3)) (/.f64 -1/2 y))) (neg.f64 (.f64 x x)))
(pow.f64 (*.f64 x (/.f64 1/2 y)) 1)
(pow.f64 (/.f64 y (*.f64 x 1/2)) -1)
(pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2) 2)
(pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) 2) -1/2)
(neg.f64 (*.f64 x (/.f64 -1/2 y)))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))
(+.f64 0 (*.f64 x (/.f64 1/2 y)))
(+.f64 0 (*.f64 x (neg.f64 (/.f64 -1/2 y))))
(+.f64 0 (.f64 (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)) (neg.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2))))
(+.f64 0 (*.f64 (neg.f64 (neg.f64 (/.f64 -1/2 y))) (neg.f64 x)))
(+.f64 0 (.f64 (neg.f64 (.f64 -1/2 (pow.f64 (/.f64 x y) 1/2))) (pow.f64 (/.f64 x y) 1/2)))
(+.f64 0 (.f64 (neg.f64 (/.f64 (.f64 x 1/2) (neg.f64 (*.f64 y y)))) y))
(+.f64 0 (.f64 (neg.f64 (/.f64 (.f64 x 1/2) (neg.f64 (pow.f64 y 3)))) (*.f64 y y)))
(+.f64 0 (.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2))) (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2)))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 x (/.f64 1/2 y)))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 x (neg.f64 (/.f64 -1/2 y))))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)) (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2))))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (neg.f64 (/.f64 -1/2 y))) (neg.f64 x)))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 1/2))) (pow.f64 (/.f64 x y) 1/2)))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (/.f64 (.f64 x 1/2) (neg.f64 (.f64 y y)))) y))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (/.f64 (.f64 x 1/2) (neg.f64 (pow.f64 y 3)))) (.f64 y y)))
(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2))) (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)))
(+.f64 (.f64 (/.f64 -1/2 y) 0) (.f64 x (/.f64 1/2 y)))
(+.f64 (.f64 0 (/.f64 -1/2 y)) (.f64 x (/.f64 1/2 y)))
(-.f64 0 (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 0 (.f64 y -2)) (.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 0 (/.f64 -1 x)) (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) -1)) (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 (/.f64 0 (.f64 y -2)) 1) (.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 (/.f64 0 (.f64 x x)) (.f64 y -2)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 x x)) (.f64 y -2)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) 1)) (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 (/.f64 0 (.f64 x x)) (.f64 (.f64 y -2) 1)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 x x)) (.f64 (.f64 y -2) 1)))
(-.f64 (/.f64 0 (.f64 (.f64 y 2) -1)) (/.f64 x (.f64 (.f64 y 2) -1)))
(-.f64 (/.f64 (/.f64 0 (.f64 x x)) (.f64 (.f64 y 2) -1)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 x x)) (.f64 (.f64 y 2) -1)))
(-.f64 (/.f64 0 (/.f64 2 x)) (/.f64 (/.f64 -1 y) (/.f64 2 x)))
(-.f64 (/.f64 0 (/.f64 -2 x)) (/.f64 (/.f64 1 y) (/.f64 -2 x)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) x)) (/.f64 (.f64 x x) (.f64 (*.f64 y -2) x)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) (.f64 x x))) (/.f64 (pow.f64 x 3) (.f64 (.f64 y -2) (.f64 x x))))
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 x y) 1/2)
(.f64 (/.f64 x y) (.f64 (pow.f64 2 -1/2) (pow.f64 2 -1/2)))
(*.f64 1/2 (/.f64 x y))
(.f64 (.f64 x (/.f64 1/2 y)) 1)
(.f64 (.f64 x (/.f64 1/2 y)) (*.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)))
(*.f64 (neg.f64 x) (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x (neg.f64 y)))
(.f64 1 (.f64 x (/.f64 1/2 y)))
(.f64 (/.f64 1 y) (.f64 x 1/2))
(.f64 (.f64 x 1/2) (/.f64 1 y))
(*.f64 (/.f64 1/2 y) x)
(.f64 -1 (.f64 x (/.f64 -1/2 y)))
(*.f64 (/.f64 x (neg.f64 y)) -1/2)
(.f64 (/.f64 x (neg.f64 y)) (.f64 (pow.f64 -2 -1/2) (pow.f64 -2 -1/2)))
(.f64 (/.f64 -1 y) (.f64 x -1/2))
(.f64 (.f64 x -1/2) (/.f64 -1 y))
(*.f64 (/.f64 -1/2 y) (neg.f64 x))
(.f64 (pow.f64 (/.f64 x y) 1/2) (.f64 (pow.f64 (/.f64 x y) 1/2) 1/2))
(.f64 (pow.f64 y -1/2) (.f64 (pow.f64 y -1/2) (*.f64 x 1/2)))
(.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2) (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2))
(.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2) (.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2) 1))
(.f64 (.f64 x (/.f64 -1/2 y)) -1)
(*.f64 (neg.f64 (/.f64 -1/2 y)) x)
(*.f64 (/.f64 (/.f64 1 y) (pow.f64 x -1/2)) (/.f64 1/2 (pow.f64 x -1/2)))
(*.f64 (/.f64 1/2 (pow.f64 x -1/2)) (/.f64 (/.f64 1 y) (pow.f64 x -1/2)))
(*.f64 (/.f64 -1/2 (pow.f64 x -1/2)) (/.f64 (/.f64 -1 y) (pow.f64 x -1/2)))
(.f64 (.f64 1/2 (pow.f64 (/.f64 x y) 1/2)) (pow.f64 (/.f64 x y) 1/2))
(.f64 (.f64 1 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)) (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2))
(.f64 (.f64 (*.f64 x 1/2) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(*.f64 (/.f64 -1/2 (neg.f64 (pow.f64 (/.f64 x y) -2))) (/.f64 y x))
(*.f64 (/.f64 -1/2 (neg.f64 (pow.f64 (/.f64 x y) -3))) (pow.f64 (/.f64 x y) -2))
(.f64 (/.f64 (.f64 x -1/2) (neg.f64 (*.f64 y y))) y)
(.f64 (/.f64 (.f64 x -1/2) (neg.f64 (pow.f64 y 3))) (*.f64 y y))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1/2 y) (pow.f64 x -1/2)))
(.f64 (.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (*.f64 x (/.f64 1/2 y)))
(.f64 (.f64 (pow.f64 -1 -1/2) (pow.f64 -1 -1/2)) (*.f64 x (/.f64 -1/2 y)))
(.f64 (.f64 (pow.f64 2 -1/2) (pow.f64 2 -1/2)) (/.f64 x y))
(.f64 (.f64 (pow.f64 -2 -1/2) (pow.f64 -2 -1/2)) (/.f64 x (neg.f64 y)))
(.f64 (.f64 (/.f64 1 (pow.f64 x -1/2)) (pow.f64 (.f64 y 2) -1/2)) (.f64 (/.f64 1 (pow.f64 x -1/2)) (pow.f64 (*.f64 y 2) -1/2)))
(.f64 (.f64 (pow.f64 (.f64 y 2) -1/2) (/.f64 1 (pow.f64 x -1/2))) (.f64 (pow.f64 (*.f64 y 2) -1/2) (/.f64 1 (pow.f64 x -1/2))))
(.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2) 1) (pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2) 1))
(.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) 2) -1/4) (pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) 2) -1/4))
(pow.f64 (*.f64 x (/.f64 1/2 y)) 1)
(pow.f64 (/.f64 y (*.f64 x 1/2)) -1)
(pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2) 2)
(pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) 2) -1/2)
(neg.f64 (*.f64 x (/.f64 -1/2 y)))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))

Calls

6 calls:

19.0ms	(*.f64 (/.f64 x y) 1/2)
0.0ms	(*.f64 (/.f64 x y) 1/2)
0.0ms	(/.f64 1/2 (/.f64 y x))
0.0ms	(/.f64 1/2 (/.f64 y x))
0.0ms	(*.f64 (/.f64 x y) 1/2)

simplify170.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/r*`
650×	`associate-/l*`
480×	`associate-r`
393×	`associate-l`
357×	`cancel-sign-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	545	5534
1	1856	5086
2	6568	5086

Stop Event

1×	node limit

Counts

306 → 252

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
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(+.f64 (/.f64 0 (.f64 y -2)) (.f64 (neg.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) 1/2))) (pow.f64 (/.f64 x y) 1/2)))
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(-.f64 (/.f64 (/.f64 0 (.f64 y -2)) 1) (.f64 x (/.f64 -1/2 y)))
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(-.f64 (/.f64 0 (.f64 (.f64 y -2) 1)) (*.f64 x (/.f64 -1/2 y)))
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(-.f64 (/.f64 (/.f64 0 (.f64 x x)) (.f64 (.f64 y 2) -1)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 x x)) (.f64 (.f64 y 2) -1)))
(-.f64 (/.f64 0 (/.f64 2 x)) (/.f64 (/.f64 -1 y) (/.f64 2 x)))
(-.f64 (/.f64 0 (/.f64 -2 x)) (/.f64 (/.f64 1 y) (/.f64 -2 x)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) x)) (/.f64 (.f64 x x) (.f64 (*.f64 y -2) x)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) (.f64 x x))) (/.f64 (pow.f64 x 3) (.f64 (.f64 y -2) (.f64 x x))))
(/.f64 x (*.f64 y 2))
(/.f64 x (.f64 (.f64 y -2) -1))
(/.f64 x (neg.f64 (.f64 (.f64 y -2) 1)))
(/.f64 x (neg.f64 (.f64 (.f64 y 2) -1)))
(/.f64 (/.f64 x y) 2)
(/.f64 1/2 (/.f64 y x))
(/.f64 (*.f64 x (/.f64 1/2 y)) 1)
(/.f64 (neg.f64 x) (*.f64 y -2))
(/.f64 (neg.f64 x) (.f64 (.f64 y -2) 1))
(/.f64 (neg.f64 x) (.f64 (.f64 y 2) -1))
(/.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 y -2) -1)))
(/.f64 -1/2 (/.f64 y (neg.f64 x)))
(/.f64 1 (/.f64 y (*.f64 x 1/2)))
(/.f64 (/.f64 1 y) (/.f64 2 x))
(/.f64 (/.f64 1 y) (neg.f64 (/.f64 -2 x)))
(/.f64 (*.f64 x 1/2) y)
(/.f64 (/.f64 1/2 y) (/.f64 1 x))
(/.f64 -1 (*.f64 y (/.f64 -2 x)))
(/.f64 (/.f64 x (neg.f64 y)) -2)
(/.f64 (/.f64 -1 y) (/.f64 -2 x))
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(/.f64 (/.f64 -1/2 y) (/.f64 -1 x))
(/.f64 (pow.f64 (/.f64 x y) 1/2) (/.f64 2 (pow.f64 (/.f64 x y) 1/2)))
(/.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2) (/.f64 1 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 y -2) x))
(/.f64 (*.f64 x (/.f64 -1/2 y)) -1)
(/.f64 (neg.f64 (pow.f64 x 3)) (.f64 (.f64 y -2) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) 1) (.f64 x (.f64 y -2)))
(/.f64 (.f64 (neg.f64 (pow.f64 x 3)) 1) (.f64 (.f64 x x) (.f64 y -2)))
(/.f64 (.f64 1 (neg.f64 (.f64 x x))) (.f64 (.f64 y -2) x))
(/.f64 (.f64 1 (neg.f64 (pow.f64 x 3))) (.f64 (.f64 y -2) (.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) 1/2) (*.f64 x (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) -1/2) (*.f64 x y))
(/.f64 (.f64 (neg.f64 (pow.f64 x 3)) 1/2) (.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 x 3)) -1/2) (.f64 (*.f64 x x) y))
(/.f64 (.f64 1/2 (neg.f64 (.f64 x x))) (*.f64 (neg.f64 y) x))
(/.f64 (.f64 1/2 (neg.f64 (pow.f64 x 3))) (.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (.f64 -1/2 (neg.f64 (.f64 x x))) (*.f64 y x))
(/.f64 (.f64 -1/2 (neg.f64 (pow.f64 x 3))) (.f64 y (*.f64 x x)))
(/.f64 (.f64 (/.f64 1/2 y) (neg.f64 (.f64 x x))) (neg.f64 x))
(/.f64 (.f64 (/.f64 1/2 y) (neg.f64 (pow.f64 x 3))) (.f64 -1 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 -1/2 y)) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 (.f64 x x))) (neg.f64 (.f64 (*.f64 y -2) x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x 3))) (neg.f64 (.f64 (.f64 y -2) (*.f64 x x))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) 1/2)) (neg.f64 (/.f64 2 (pow.f64 (/.f64 x y) 1/2))))
(/.f64 (/.f64 (/.f64 1/2 y) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (.f64 (/.f64 -1/2 y) (neg.f64 (.f64 x x))) x)
(/.f64 (.f64 (/.f64 -1/2 y) (neg.f64 (pow.f64 x 3))) (.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 -1/2 y)) x)
(/.f64 (.f64 (neg.f64 (pow.f64 x 3)) (/.f64 -1/2 y)) (.f64 x x))
(/.f64 (/.f64 1/2 (pow.f64 (/.f64 x y) -1/2)) (pow.f64 (/.f64 x y) -1/2))
(/.f64 (neg.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)) (neg.f64 (/.f64 1 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2))))
(/.f64 (-.f64 (.f64 0 (.f64 y -2)) (.f64 (.f64 y 2) x)) (.f64 (.f64 y 2) (*.f64 y -2)))
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(pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) 2) -1/2)
(neg.f64 (*.f64 x (/.f64 -1/2 y)))
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(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/2)))
(log.f64 (exp.f64 (*.f64 (/.f64 x y) 1/2)))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) (sqrt.f64 (*.f64 (/.f64 x y) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/2)))
(.f64 1 (.f64 (/.f64 x y) 1/2))
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 (.f64 (/.f64 x y) 1/2))) (cbrt.f64 (*.f64 (/.f64 x y) 1/2)))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 x y) 1/2) (.f64 (/.f64 x y) 1/2)) (*.f64 (/.f64 x y) 1/2)))
(pow.f64 (*.f64 (/.f64 x y) 1/2) 1)
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 x y) 1/2)))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 x y) 1/2)))
(binary32->binary64 (*.f32 (/.f32 (binary64->binary32 x) (binary64->binary32 y)) 1/2))
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(-.f64 0 (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 0 (.f64 y -2)) (.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 0 (/.f64 -1 x)) (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) -1)) (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 (/.f64 0 (.f64 y -2)) 1) (.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 (/.f64 0 (.f64 x x)) (.f64 y -2)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 x x)) (.f64 y -2)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) 1)) (*.f64 x (/.f64 -1/2 y)))
(-.f64 (/.f64 (/.f64 0 (.f64 x x)) (.f64 (.f64 y -2) 1)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 x x)) (.f64 (.f64 y -2) 1)))
(-.f64 (/.f64 0 (.f64 (.f64 y 2) -1)) (/.f64 x (.f64 (.f64 y 2) -1)))
(-.f64 (/.f64 (/.f64 0 (.f64 x x)) (.f64 (.f64 y 2) -1)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 x x)) (.f64 (.f64 y 2) -1)))
(-.f64 (/.f64 0 (/.f64 2 x)) (/.f64 (/.f64 -1 y) (/.f64 2 x)))
(-.f64 (/.f64 0 (/.f64 -2 x)) (/.f64 (/.f64 1 y) (/.f64 -2 x)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) x)) (/.f64 (.f64 x x) (.f64 (*.f64 y -2) x)))
(-.f64 (/.f64 0 (.f64 (.f64 y -2) (.f64 x x))) (/.f64 (pow.f64 x 3) (.f64 (.f64 y -2) (.f64 x x))))
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 x y) 1/2)
(.f64 (/.f64 x y) (.f64 (pow.f64 2 -1/2) (pow.f64 2 -1/2)))
(*.f64 1/2 (/.f64 x y))
(.f64 (.f64 x (/.f64 1/2 y)) 1)
(.f64 (.f64 x (/.f64 1/2 y)) (*.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)))
(*.f64 (neg.f64 x) (/.f64 -1/2 y))
(*.f64 -1/2 (/.f64 x (neg.f64 y)))
(.f64 1 (.f64 x (/.f64 1/2 y)))
(.f64 (/.f64 1 y) (.f64 x 1/2))
(.f64 (.f64 x 1/2) (/.f64 1 y))
(*.f64 (/.f64 1/2 y) x)
(.f64 -1 (.f64 x (/.f64 -1/2 y)))
(*.f64 (/.f64 x (neg.f64 y)) -1/2)
(.f64 (/.f64 x (neg.f64 y)) (.f64 (pow.f64 -2 -1/2) (pow.f64 -2 -1/2)))
(.f64 (/.f64 -1 y) (.f64 x -1/2))
(.f64 (.f64 x -1/2) (/.f64 -1 y))
(*.f64 (/.f64 -1/2 y) (neg.f64 x))
(.f64 (pow.f64 (/.f64 x y) 1/2) (.f64 (pow.f64 (/.f64 x y) 1/2) 1/2))
(.f64 (pow.f64 y -1/2) (.f64 (pow.f64 y -1/2) (*.f64 x 1/2)))
(.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2) (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2))
(.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2) (.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2) 1))
(.f64 (.f64 x (/.f64 -1/2 y)) -1)
(*.f64 (neg.f64 (/.f64 -1/2 y)) x)
(*.f64 (/.f64 (/.f64 1 y) (pow.f64 x -1/2)) (/.f64 1/2 (pow.f64 x -1/2)))
(*.f64 (/.f64 1/2 (pow.f64 x -1/2)) (/.f64 (/.f64 1 y) (pow.f64 x -1/2)))
(*.f64 (/.f64 -1/2 (pow.f64 x -1/2)) (/.f64 (/.f64 -1 y) (pow.f64 x -1/2)))
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(.f64 (.f64 (*.f64 x 1/2) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(*.f64 (/.f64 -1/2 (neg.f64 (pow.f64 (/.f64 x y) -2))) (/.f64 y x))
(*.f64 (/.f64 -1/2 (neg.f64 (pow.f64 (/.f64 x y) -3))) (pow.f64 (/.f64 x y) -2))
(.f64 (/.f64 (.f64 x -1/2) (neg.f64 (*.f64 y y))) y)
(.f64 (/.f64 (.f64 x -1/2) (neg.f64 (pow.f64 y 3))) (*.f64 y y))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1/2 y) (pow.f64 x -1/2)))
(.f64 (.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (*.f64 x (/.f64 1/2 y)))
(.f64 (.f64 (pow.f64 -1 -1/2) (pow.f64 -1 -1/2)) (*.f64 x (/.f64 -1/2 y)))
(.f64 (.f64 (pow.f64 2 -1/2) (pow.f64 2 -1/2)) (/.f64 x y))
(.f64 (.f64 (pow.f64 -2 -1/2) (pow.f64 -2 -1/2)) (/.f64 x (neg.f64 y)))
(.f64 (.f64 (/.f64 1 (pow.f64 x -1/2)) (pow.f64 (.f64 y 2) -1/2)) (.f64 (/.f64 1 (pow.f64 x -1/2)) (pow.f64 (*.f64 y 2) -1/2)))
(.f64 (.f64 (pow.f64 (.f64 y 2) -1/2) (/.f64 1 (pow.f64 x -1/2))) (.f64 (pow.f64 (*.f64 y 2) -1/2) (/.f64 1 (pow.f64 x -1/2))))
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(.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) 2) -1/4) (pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) 2) -1/4))
(pow.f64 (*.f64 x (/.f64 1/2 y)) 1)
(pow.f64 (/.f64 y (*.f64 x 1/2)) -1)
(pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2) 2)
(pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) 2) -1/2)
(neg.f64 (*.f64 x (/.f64 -1/2 y)))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (log.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (exp.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 1/2 (/.f64 y x))) (sqrt.f64 (/.f64 1/2 (/.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (/.f64 y x))))
(expm1.f64 (log1p.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 1 (/.f64 1/2 (/.f64 y x)))
(.f64 (.f64 (cbrt.f64 (/.f64 1/2 (/.f64 y x))) (cbrt.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (/.f64 1/2 (/.f64 y x))))
(cbrt.f64 (.f64 (.f64 (/.f64 1/2 (/.f64 y x)) (/.f64 1/2 (/.f64 y x))) (/.f64 1/2 (/.f64 y x))))
(pow.f64 (/.f64 1/2 (/.f64 y x)) 1)
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 y x))))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 y x))))
(binary32->binary64 (/.f32 1/2 (/.f32 (binary64->binary32 y) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 x y) 1/2)))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 x y) 1/2)))
(binary32->binary64 (*.f32 (/.f32 (binary64->binary32 x) (binary64->binary32 y)) 1/2))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 y x))))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 y x))))
(binary32->binary64 (/.f32 1/2 (/.f32 (binary64->binary32 y) (binary64->binary32 x))))

Outputs
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
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(*.f64 1/2 (/.f64 x y))
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(*.f64 1/2 (/.f64 x y))
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(/.f64 (/.f64 1/2 y) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)))
(/.f64 1/2 (*.f64 (pow.f64 x -1) y))
(.f64 (.f64 1/2 (pow.f64 (/.f64 x y) 1/2)) (pow.f64 (/.f64 x y) 1/2))
(*.f64 1/2 (/.f64 x y))
(.f64 (.f64 1 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2)) (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2))
(*.f64 1/2 (/.f64 x y))
(.f64 (.f64 (*.f64 x 1/2) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(.f64 (.f64 1/2 x) (*.f64 (pow.f64 y -1/2) (pow.f64 y -1/2)))
(.f64 x (.f64 1/2 (pow.f64 y -1)))
(.f64 (.f64 1/2 x) (pow.f64 y -1))
(*.f64 (/.f64 -1/2 (neg.f64 (pow.f64 (/.f64 x y) -2))) (/.f64 y x))
(/.f64 (*.f64 -1/2 (/.f64 y x)) (neg.f64 (pow.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 y x) (/.f64 1/2 (pow.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 -1/2 (neg.f64 (pow.f64 (/.f64 x y) -3))) (pow.f64 (/.f64 x y) -2))
(/.f64 (*.f64 -1/2 (pow.f64 (/.f64 x y) -2)) (neg.f64 (pow.f64 (/.f64 x y) -3)))
(*.f64 (pow.f64 (/.f64 x y) -2) (/.f64 1/2 (pow.f64 (/.f64 x y) -3)))
(.f64 (/.f64 (.f64 x -1/2) (neg.f64 (*.f64 y y))) y)
(.f64 y (/.f64 (neg.f64 (.f64 1/2 x)) (*.f64 y (neg.f64 y))))
(*.f64 y (/.f64 x (/.f64 y (/.f64 1/2 y))))
(.f64 (/.f64 (.f64 x -1/2) (neg.f64 (pow.f64 y 3))) (*.f64 y y))
(.f64 (.f64 y y) (/.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 (pow.f64 y 3))))
(.f64 (.f64 y y) (*.f64 (/.f64 x (neg.f64 (pow.f64 y 3))) -1/2))
(/.f64 (.f64 x (.f64 y y)) (neg.f64 (/.f64 (pow.f64 y 3) -1/2)))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1/2 y) (pow.f64 x -1/2)))
(/.f64 (/.f64 1/2 y) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)))
(/.f64 1/2 (*.f64 (pow.f64 x -1) y))
(.f64 (.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (*.f64 x (/.f64 1/2 y)))
(*.f64 1/2 (/.f64 x y))
(.f64 (.f64 (pow.f64 -1 -1/2) (pow.f64 -1 -1/2)) (*.f64 x (/.f64 -1/2 y)))
(*.f64 1/2 (/.f64 x y))
(.f64 (.f64 (pow.f64 2 -1/2) (pow.f64 2 -1/2)) (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(.f64 (.f64 (pow.f64 -2 -1/2) (pow.f64 -2 -1/2)) (/.f64 x (neg.f64 y)))
(*.f64 1/2 (/.f64 x y))
(.f64 (.f64 (/.f64 1 (pow.f64 x -1/2)) (pow.f64 (.f64 y 2) -1/2)) (.f64 (/.f64 1 (pow.f64 x -1/2)) (pow.f64 (*.f64 y 2) -1/2)))
(.f64 (/.f64 (.f64 (pow.f64 (.f64 y 2) -1/2) 1) (pow.f64 x -1/2)) (/.f64 (.f64 (pow.f64 (*.f64 y 2) -1/2) 1) (pow.f64 x -1/2)))
(/.f64 (/.f64 (pow.f64 (*.f64 y 2) -1) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(.f64 (.f64 (pow.f64 (.f64 y 2) -1/2) (/.f64 1 (pow.f64 x -1/2))) (.f64 (pow.f64 (*.f64 y 2) -1/2) (/.f64 1 (pow.f64 x -1/2))))
(.f64 (/.f64 (.f64 (pow.f64 (.f64 y 2) -1/2) 1) (pow.f64 x -1/2)) (/.f64 (.f64 (pow.f64 (*.f64 y 2) -1/2) 1) (pow.f64 x -1/2)))
(/.f64 (/.f64 (pow.f64 (*.f64 y 2) -1) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) -1/2) 1) (pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2) 1))
(*.f64 1/2 (/.f64 x y))
(.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x 1/2)) 2) -1/4) (pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) 2) -1/4))
(pow.f64 (pow.f64 (/.f64 y (*.f64 1/2 x)) 2) -1/2)
(pow.f64 (pow.f64 (*.f64 y (/.f64 2 x)) 2) -1/2)
(pow.f64 (*.f64 x (/.f64 1/2 y)) 1)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (/.f64 y (*.f64 x 1/2)) -1)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) -1/2) 2)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 y (*.f64 x 1/2)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 y (*.f64 1/2 x)) 2) -1/2)
(pow.f64 (pow.f64 (*.f64 y (/.f64 2 x)) 2) -1/2)
(neg.f64 (*.f64 x (/.f64 -1/2 y)))
(*.f64 1/2 (/.f64 x y))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 1/2 (/.f64 x y))
(exp.f64 (log.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 1/2 (/.f64 x y))
(log.f64 (exp.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 1/2 (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 1/2 (/.f64 y x))) (sqrt.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 1/2 (/.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 1/2 (/.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 1/2 (/.f64 x y))
(*.f64 1 (/.f64 1/2 (/.f64 y x)))
(*.f64 1/2 (/.f64 x y))
(.f64 (.f64 (cbrt.f64 (/.f64 1/2 (/.f64 y x))) (cbrt.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 1/2 (/.f64 x y))
(cbrt.f64 (.f64 (.f64 (/.f64 1/2 (/.f64 y x)) (/.f64 1/2 (/.f64 y x))) (/.f64 1/2 (/.f64 y x))))
(cbrt.f64 (.f64 (.f64 1/2 (/.f64 x y)) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/4)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
(pow.f64 (/.f64 1/2 (/.f64 y x)) 1)
(*.f64 1/2 (/.f64 x y))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 y x))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 x y))))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 y x))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 x y))))
(binary32->binary64 (/.f32 1/2 (/.f32 (binary64->binary32 y) (binary64->binary32 x))))
(binary32->binary64 (*.f32 1/2 (/.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (/.f32 1/2 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 x y) 1/2)))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 x y))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 x y) 1/2)))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 x y))))
(binary32->binary64 (*.f32 (/.f32 (binary64->binary32 x) (binary64->binary32 y)) 1/2))
(binary32->binary64 (*.f32 1/2 (/.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (/.f32 1/2 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 y x))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 x y))))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 y x))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 x y))))
(binary32->binary64 (/.f32 1/2 (/.f32 (binary64->binary32 y) (binary64->binary32 x))))
(binary32->binary64 (*.f32 1/2 (/.f32 (binary64->binary32 x) (binary64->binary32 y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (/.f32 1/2 (binary64->binary32 y))))

eval81.0ms (2.8%)

Compiler: Compiled 3193 to 2075 computations (35% saved)

prune38.0ms (1.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	252	0	252
Fresh	0	1	1
Picked	0	4	4
Done	0	1	1
Total	252	6	258

Accuracy

100.0%

Counts

258 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(/.f64 1/2 (/.f64 y x))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
✓	2.3%	(-.f64 1/2 4)
✓	10.1%	(-.f64 1/2 -2)
✓	51.6%	(*.f64 (/.f64 x y) 1/2)
	50.4%	1/2
✓	51.4%	(/.f64 1/2 (/.f64 y x))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
✓	2.3%	(-.f64 1/2 4)
✓	10.1%	(-.f64 1/2 -2)
✓	51.6%	(*.f64 (/.f64 x y) 1/2)
	50.4%	1/2

Compiler

Compiled 72 to 60 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

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

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(/.f64 1/2 (/.f64 y x))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
✓	2.3%	(-.f64 1/2 4)
✓	10.1%	(-.f64 1/2 -2)
✓	51.6%	(*.f64 (/.f64 x y) 1/2)
	50.4%	1/2
✓	51.4%	(/.f64 1/2 (/.f64 y x))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
✓	2.3%	(-.f64 1/2 4)
✓	10.1%	(-.f64 1/2 -2)
✓	51.6%	(*.f64 (/.f64 x y) 1/2)
	50.4%	1/2

Compiler

Compiled 72 to 60 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

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

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(/.f64 1/2 (/.f64 y x))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
✓	2.3%	(-.f64 1/2 4)
✓	10.1%	(-.f64 1/2 -2)
✓	51.6%	(*.f64 (/.f64 x y) 1/2)
	50.4%	1/2

Compiler

Compiled 69 to 53 computations (23.2% saved)

regimes19.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

Inputs
1/2
(-.f64 1/2 -2)
(-.f64 1/2 4)
(*.f64 (/.f64 x y) 1/2)
(/.f64 1/2 (/.f64 y x))
(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
(/.f64 (+.f64 x y) (+.f64 y y))

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

Calls

3 calls:

9.0ms	y
5.0ms	x
3.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

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

Compiler

Compiled 48 to 32 computations (33.3% saved)

regimes12.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

Inputs
1/2
(-.f64 1/2 -2)
(-.f64 1/2 4)
(*.f64 (/.f64 x y) 1/2)
(/.f64 1/2 (/.f64 y x))
(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))

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

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 32 to 24 computations (25% saved)

regimes51.0ms (1.8%)

Counts

5 → 3

Calls

Call 1

Inputs
1/2
(-.f64 1/2 -2)
(-.f64 1/2 4)
(*.f64 (/.f64 x y) 1/2)
(/.f64 1/2 (/.f64 y x))

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

Calls

2 calls:

37.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
79.9%	7	`x`
78.5%	3	`y`

Compiler

Compiled 25 to 19 computations (24% saved)

regimes9.0ms (0.3%)

Accuracy

Total -31.4b remaining (-99%)

Threshold costs -31.4b (-99%)

Counts

3 → 1

Calls

Call 1

Inputs
1/2
(-.f64 1/2 -2)
(-.f64 1/2 4)

Outputs
1/2

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
50.4%	1	`x`
50.4%	1	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch25.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.3583483617731855e+82	3.115671314781874e+87
9.0ms	-5.945172559419424e-30	-6.9309868675641665e-31

Results

21.0ms	238×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 194 to 159 computations (18% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative`
7×	`*-commutative`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	72
1	37	72
2	50	72
3	58	72
4	64	72
5	67	72
6	68	72

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
(if (<=.f64 y -321130730858841/178405961588244985132285746181186892047843328) 1/2 (if (<=.f64 y 23999999999999999795761784192893772973140520916147329545761483787739319631293186048) (*.f64 (/.f64 x y) 1/2) 1/2))
1/2

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
(if (<=.f64 y -321130730858841/178405961588244985132285746181186892047843328) 1/2 (if (<=.f64 y 23999999999999999795761784192893772973140520916147329545761483787739319631293186048) (*.f64 (/.f64 x y) 1/2) 1/2))
(if (<=.f64 y -321130730858841/178405961588244985132285746181186892047843328) 1/2 (if (<=.f64 y 23999999999999999795761784192893772973140520916147329545761483787739319631293186048) (*.f64 1/2 (/.f64 x y)) 1/2))
1/2

Compiler

Compiled 38 to 28 computations (26.3% saved)

soundness489.0ms (16.9%)

Rules

1038×	`fma-def`
1007×	`div-sub`
536×	`fma-neg`
473×	`exp-sum`
381×	`times-frac`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	74	1252
1	132	1180
2	542	1180
3	2458	1180
4	6419	1180
0	18	103
1	34	95
2	75	95
3	175	95
4	405	95
5	991	87
6	2829	79
7	4823	79
8	5828	79
9	6371	79
10	6839	79
11	7099	79

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 291 to 140 computations (51.9% saved)

end0.0ms (0%)

preprocess49.0ms (1.7%)

Compiler: Compiled 100 to 68 computations (32% saved)

analyze9.0ms (0.3%)

sample979.0ms (33.8%)

preprocess186.0ms (6.4%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize43.0ms (1.5%)

series6.0ms (0.2%)

rewrite74.0ms (2.6%)

simplify340.0ms (11.7%)

eval8.0ms (0.3%)

prune11.0ms (0.4%)

localize83.0ms (2.9%)

series1.0ms (0%)

rewrite190.0ms (6.6%)

simplify170.0ms (5.9%)

eval81.0ms (2.8%)

prune38.0ms (1.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes19.0ms (0.6%)

regimes12.0ms (0.4%)

regimes51.0ms (1.8%)

regimes9.0ms (0.3%)

bsearch25.0ms (0.9%)

simplify11.0ms (0.4%)

soundness489.0ms (16.9%)

end0.0ms (0%)

preprocess49.0ms (1.7%)

Profiling