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

analyze10.0ms (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)

sample1.0s (36.5%)

Results

929.0ms	7237×	body	256	valid
88.0ms	1019×	body	256	infinite

Bogosity

preprocess174.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1932×	`fma-def`
1642×	`div-sub`
1492×	`fma-neg`
662×	`distribute-rgt-in`
652×	`associate-/r*`

Problems

256×

No Errors

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	220
1	47	196
2	103	196
3	289	184
4	1295	162
5	3738	151
6	6374	151
7	7852	151

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

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	99.7%	(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)
▶	99.9%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	99.7%	(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize97.0ms (3.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	100.0%	(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)
✓	99.6%	(*.f64 x (/.f64 1/2 y))

Compiler

Compiled 37 to 18 computations (51.4% saved)

series8.0ms (0.3%)

Counts

3 → 72

Calls

18 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))

rewrite246.0ms (8.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`prod-diff`
1009×	`log1p-expm1-u`
576×	`expm1-log1p-u`
314×	`expm1-udef`
314×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	215	59
2	3428	59

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

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

simplify33.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative`
54×	`sqr-pow`
24×	`associate-*l/`
24×	`associate-*r/`
22×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	3358
1	598	3358

Stop Event

1×

unsound

Counts

163 → 123

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

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

eval79.0ms (2.8%)

Compiler: Compiled 1349 to 1019 computations (24.5% saved)

prune19.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	120	5	125

Accuracy

100.0%

Counts

125 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	100.0%	(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
▶	8.2%	(-.f64 (/.f64 x 0) -1/2)
	45.1%	1/2
	2.5%	-1
✓	99.9%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	100.0%	(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
▶	8.2%	(-.f64 (/.f64 x 0) -1/2)
	45.1%	1/2
	2.5%	-1

Compiler

Compiled 62 to 48 computations (22.6% saved)

localize43.0ms (1.5%)

Compiler: Compiled 33 to 23 computations (30.3% saved)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	2	2
Done	1	1
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	100.0%	(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
✓	8.2%	(-.f64 (/.f64 x 0) -1/2)
	45.1%	1/2
	2.5%	-1
✓	99.9%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	100.0%	(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
✓	8.2%	(-.f64 (/.f64 x 0) -1/2)
	45.1%	1/2
	2.5%	-1

Compiler

Compiled 62 to 48 computations (22.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	100.0%	(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
✓	8.2%	(-.f64 (/.f64 x 0) -1/2)
	45.1%	1/2
	2.5%	-1
✓	99.9%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	100.0%	(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
✓	8.2%	(-.f64 (/.f64 x 0) -1/2)
	45.1%	1/2
	2.5%	-1

Compiler

Compiled 62 to 48 computations (22.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	100.0%	(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
✓	8.2%	(-.f64 (/.f64 x 0) -1/2)
	45.1%	1/2
	2.5%	-1

Compiler

Compiled 61 to 45 computations (26.2% saved)

regimes15.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

Inputs
-1
1/2
(-.f64 (/.f64 x 0) -1/2)
(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
(/.f64 (+.f64 x y) (+.f64 y y))

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

Calls

3 calls:

6.0ms	y
4.0ms	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 45 to 30 computations (33.3% saved)

regimes20.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

Inputs
-1
1/2
(-.f64 (/.f64 x 0) -1/2)
(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)

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

Calls

2 calls:

15.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes20.0ms (0.7%)

Counts

3 → 2

Calls

Call 1

Inputs
-1
1/2
(-.f64 (/.f64 x 0) -1/2)

Outputs
1/2
(-.f64 (/.f64 x 0) -1/2)

Calls

2 calls:

13.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
47.7%	2	`x`
48.9%	3	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
1/2

Outputs
1/2

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
45.1%	1	`y`
45.1%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.8282853290990948e+89	2.806102158366455e+92

Results

10.0ms	116×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 110 to 97 computations (11.8% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg`
8×	`+-commutative`
6×	`*-commutative`
2×	`neg-mul-1`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	81
1	32	81
2	37	81
3	39	81
4	40	81

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)
(if (<=.f64 x 280000000000000000566434229161752558164183630117752221974698194450056303663352310272257687552) 1/2 (-.f64 (/.f64 x 0) -1/2))
1/2
-1

Outputs
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)
(if (<=.f64 x 280000000000000000566434229161752558164183630117752221974698194450056303663352310272257687552) 1/2 (-.f64 (/.f64 x 0) -1/2))
1/2
-1

Compiler

Compiled 36 to 30 computations (16.7% saved)

soundness884.0ms (31.4%)

Rules

1932×	`fma-def`
1642×	`div-sub`
1492×	`fma-neg`
1410×	`prod-diff`
1410×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	220
1	47	196
2	103	196
3	289	184
4	1295	162
5	3738	151
6	6374	151
7	7852	151
0	15	68
1	215	59
2	3428	59
0	15	68
1	215	59
2	3428	59
0	210	3358
1	598	3358
0	15	68
1	215	59
2	3428	59
0	210	3358
1	598	3358

Stop Event

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

Compiler

Compiled 412 to 162 computations (60.7% saved)

end0.0ms (0%)

preprocess91.0ms (3.2%)

Compiler: Compiled 92 to 68 computations (26.1% saved)

analyze10.0ms (0.4%)

sample1.0s (36.5%)

preprocess174.0ms (6.2%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize97.0ms (3.4%)

series8.0ms (0.3%)

rewrite246.0ms (8.7%)

simplify33.0ms (1.2%)

eval79.0ms (2.8%)

prune19.0ms (0.7%)

localize43.0ms (1.5%)

eval0.0ms (0%)

prune5.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes15.0ms (0.5%)

regimes20.0ms (0.7%)

regimes20.0ms (0.7%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch13.0ms (0.5%)

simplify8.0ms (0.3%)

soundness884.0ms (31.4%)

end0.0ms (0%)

preprocess91.0ms (3.2%)

Profiling