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

analyze9.0ms (0.4%)

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)

sample958.0ms (37.7%)

Results

835.0ms	7227×	body	256	valid
112.0ms	1029×	body	256	infinite

Bogosity

preprocess228.0ms (9%)

Algorithm

1×	egg-herbie

Rules

2080×	`div-sub`
2076×	`fma-def`
1234×	`fma-neg`
972×	`sub-neg`
762×	`times-frac`

Problems

256×

No Errors

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	21	148
1	37	140
2	77	140
3	183	134
4	414	134
5	1018	120
6	2946	109
7	5156	109
8	6176	109
9	6786	109
10	7287	109
11	7608	109

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 (+.f64 x y) (*.f64 2 y))
(/.f64 (+.f64 x y) (*.f64 y 2))
(-.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 (+.f64 x y) (*.f64 2 y))
(/.f64 (+.f64 x y) (*.f64 y 2))
(-.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 2 y))
(/.f64 (-.f64 y x) (*.f64 y 2))
(-.f64 1/2 (/.f64 x (*.f64 y 2)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 x 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 2 y))
(/.f64 (-.f64 y x) (*.f64 y 2))
(-.f64 1/2 (/.f64 x (*.f64 y 2)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 x 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 2 x))
(/.f64 (+.f64 x y) (*.f64 x 2))
(-.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 29 to 18 computations (37.9% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 52 to 36 computations (30.8% saved)

localize65.0ms (2.6%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.8%	(fma.f64 x (/.f64 1/2 y) 1/2)
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	100.0%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
✓	99.7%	(*.f64 x (/.f64 -1/2 y))

Compiler

Compiled 49 to 25 computations (49% saved)

series47.0ms (1.8%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
38.0ms	y	@	inf	(fma.f64 x (/.f64 1/2 y) 1/2)
1.0ms	x	@	0	(/.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))

rewrite122.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`prod-diff`
1048×	`log1p-expm1-u`
322×	`expm1-udef`
322×	`log1p-udef`
190×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	97
1	262	77
2	4267	77

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

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

simplify167.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative`
48×	`sqr-pow`
24×	`associate-/l*`
24×	`sub-neg`
22×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	4832
1	616	4832

Stop Event

1×

unsound

Counts

228 → 142

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

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

eval101.0ms (4%)

Compiler: Compiled 1553 to 1184 computations (23.8% saved)

prune108.0ms (4.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	137	5	142
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	138	7	145

Accuracy

100.0%

Counts

145 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	47.8%	(/.f64 x (/.f64 y 1/2))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
▶	40.0%	(-.f64 1/2 (neg.f64 x))
▶	40.1%	(+.f64 1/2 (neg.f64 x))
	52.6%	1/2
	2.5%	-1
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	47.8%	(/.f64 x (/.f64 y 1/2))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
▶	40.0%	(-.f64 1/2 (neg.f64 x))
▶	40.1%	(+.f64 1/2 (neg.f64 x))
	52.6%	1/2
	2.5%	-1

Compiler

Compiled 86 to 66 computations (23.3% saved)

localize37.0ms (1.5%)

Compiler: Compiled 30 to 16 computations (46.7% saved)

eval0.0ms (0%)

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

prune29.0ms (1.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	3	3
Done	2	2
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	47.8%	(/.f64 x (/.f64 y 1/2))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
✓	40.0%	(-.f64 1/2 (neg.f64 x))
✓	40.1%	(+.f64 1/2 (neg.f64 x))
	52.6%	1/2
	2.5%	-1
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	47.8%	(/.f64 x (/.f64 y 1/2))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
✓	40.0%	(-.f64 1/2 (neg.f64 x))
✓	40.1%	(+.f64 1/2 (neg.f64 x))
	52.6%	1/2
	2.5%	-1

Compiler

Compiled 86 to 66 computations (23.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	47.8%	(/.f64 x (/.f64 y 1/2))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
✓	40.0%	(-.f64 1/2 (neg.f64 x))
✓	40.1%	(+.f64 1/2 (neg.f64 x))
	52.6%	1/2
	2.5%	-1
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	47.8%	(/.f64 x (/.f64 y 1/2))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
✓	40.0%	(-.f64 1/2 (neg.f64 x))
✓	40.1%	(+.f64 1/2 (neg.f64 x))
	52.6%	1/2
	2.5%	-1

Compiler

Compiled 86 to 66 computations (23.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	47.8%	(/.f64 x (/.f64 y 1/2))
✓	99.8%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
✓	40.0%	(-.f64 1/2 (neg.f64 x))
✓	40.1%	(+.f64 1/2 (neg.f64 x))
	52.6%	1/2
	2.5%	-1

Compiler

Compiled 80 to 57 computations (28.8% saved)

regimes21.0ms (0.8%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
6.0ms	y
5.0ms	(/.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 52 to 33 computations (36.5% saved)

regimes12.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 30 to 21 computations (30% saved)

regimes37.0ms (1.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
77.1%	3	`x`
73.3%	3	`y`

Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes9.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

Inputs
-1
1/2
(+.f64 1/2 (neg.f64 x))
(-.f64 1/2 (neg.f64 x))

Outputs
1/2

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
52.6%	1	`y`
52.6%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
2.5%	1	`x`
2.5%	1	`y`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch27.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1572730503118915e-31	1.9195100920424242e-28
13.0ms	-3.3876223979233795	-0.0019540003668786403

Results

23.0ms

256×

body

256

valid

Compiler

Compiled 206 to 169 computations (18% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
10×	`sub-neg`
10×	`*-commutative`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	109
1	40	109
2	51	109
3	59	109
4	65	109
5	68	109
6	69	109

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 x -5188146770730811/72057594037927936) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 x 1248841731117715/356811923176489970264571492362373784095686656) 1/2 (/.f64 x (/.f64 y 1/2))))
1/2
-1

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
(if (<=.f64 x -5188146770730811/72057594037927936) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 x 1248841731117715/356811923176489970264571492362373784095686656) 1/2 (/.f64 x (/.f64 y 1/2))))
(if (or (<=.f64 x -5188146770730811/72057594037927936) (not (<=.f64 x 1248841731117715/356811923176489970264571492362373784095686656))) (/.f64 x (/.f64 y 1/2)) 1/2)
1/2
-1

Compiler

Compiled 41 to 31 computations (24.4% saved)

soundness489.0ms (19.2%)

Rules

2080×	`div-sub`
2076×	`fma-def`
1566×	`prod-diff`
1234×	`fma-neg`
1048×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	97
1	262	77
2	4267	77
0	229	4832
1	616	4832
0	21	148
1	37	140
2	77	140
3	183	134
4	414	134
5	1018	120
6	2946	109
7	5156	109
8	6176	109
9	6786	109
10	7287	109
11	7608	109
0	229	4832
1	616	4832

Stop Event

1×	unsound
1×	node limit
1×	unsound
1×	node limit

Compiler

Compiled 436 to 157 computations (64% saved)

end0.0ms (0%)

preprocess52.0ms (2.1%)

Compiler: Compiled 102 to 70 computations (31.4% saved)

analyze9.0ms (0.4%)

sample958.0ms (37.7%)

preprocess228.0ms (9%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize65.0ms (2.6%)

series47.0ms (1.8%)

rewrite122.0ms (4.8%)

simplify167.0ms (6.6%)

eval101.0ms (4%)

prune108.0ms (4.2%)

localize37.0ms (1.5%)

eval0.0ms (0%)

prune29.0ms (1.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes21.0ms (0.8%)

regimes12.0ms (0.5%)

regimes37.0ms (1.5%)

regimes9.0ms (0.4%)

regimes7.0ms (0.3%)

bsearch27.0ms (1.1%)

simplify6.0ms (0.2%)

soundness489.0ms (19.2%)

end0.0ms (0%)

preprocess52.0ms (2.1%)

Profiling