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

analyze11.0ms (0.6%)

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)

sample729.0ms (41.1%)

Results

630.0ms	7211×	body	256	valid
88.0ms	1045×	body	256	infinite

Bogosity

preprocess145.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

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

Problems

255×	No Errors
1×	`(/.f64 (+.f64 x y) (+.f64 y y))`

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 (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	99.9%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
▶	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	99.9%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize48.0ms (2.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.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 37 to 18 computations (51.4% saved)

series7.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

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

rewrite124.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`prod-diff`
1147×	`log1p-expm1-u`
503×	`expm1-log1p-u`
358×	`expm1-udef`
358×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	72
1	216	69
2	3445	69

Stop Event

1×	node limit

Counts

3 → 87

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))

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

simplify29.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative`
52×	`sqr-pow`
26×	`associate-*r/`
20×	`unpow2`
20×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	3851
1	591	3851

Stop Event

1×

unsound

Counts

159 → 118

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

eval36.0ms (2%)

Compiler: Compiled 1410 to 986 computations (30.1% saved)

prune20.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	115	5	120

Accuracy

100.0%

Counts

120 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	54.6%	(/.f64 (*.f64 x 1/2) y)
✓	99.9%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
	47.0%	1/2
	2.5%	-1
✓	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	54.6%	(/.f64 (*.f64 x 1/2) y)
✓	99.9%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
	47.0%	1/2
	2.5%	-1

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize24.0ms (1.3%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	54.6%	(/.f64 (*.f64 x 1/2) y)
✓	99.9%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
	47.0%	1/2
	2.5%	-1
✓	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	54.6%	(/.f64 (*.f64 x 1/2) y)
✓	99.9%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
	47.0%	1/2
	2.5%	-1

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune5.0ms (0.3%)

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
✓	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	54.6%	(/.f64 (*.f64 x 1/2) y)
✓	99.9%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
	47.0%	1/2
	2.5%	-1
✓	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	54.6%	(/.f64 (*.f64 x 1/2) y)
✓	99.9%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
	47.0%	1/2
	2.5%	-1

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

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
✓	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	54.6%	(/.f64 (*.f64 x 1/2) y)
✓	99.9%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
	47.0%	1/2
	2.5%	-1

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes15.0ms (0.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
5.0ms	y
4.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 38 to 24 computations (36.8% saved)

regimes35.0ms (2%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
76.2%	3	`x`
80.9%	5	`y`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes8.0ms (0.4%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
1/2

Outputs
1/2

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
47.0%	1	`x`
47.0%	1	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.4%)

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	`y`
2.5%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch50.0ms (2.8%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	2.2222629348322732e+42	2.818945137341e+56
14.0ms	-1.3479331557689294e-26	-5.3809698219046986e-30
10.0ms	-5.251800287120521e-16	-7.473052909756725e-17
8.0ms	-6.281978456317066e+46	-1.7192498887747587e+46

Results

42.0ms	452×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 362 to 299 computations (17.4% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
10×	`sub-neg`
10×	`+-commutative`
8×	`not-or`
8×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	116
1	43	110
2	57	110
3	71	106
4	81	106
5	88	106
6	90	106
7	91	106

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
(if (<=.f64 y -17999999999999999369456502555754622707105267712) 1/2 (if (<=.f64 y -7301667457314601/81129638414606681695789005144064) (/.f64 (.f64 x 1/2) y) (if (<=.f64 y -8920298079412249/22300745198530623141535718272648361505980416) 1/2 (if (<=.f64 y 200000000000000008769168609015239470926809530368) (/.f64 (.f64 x 1/2) y) 1/2))))
1/2
-1

Outputs
(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
(if (<=.f64 y -17999999999999999369456502555754622707105267712) 1/2 (if (<=.f64 y -7301667457314601/81129638414606681695789005144064) (/.f64 (.f64 x 1/2) y) (if (<=.f64 y -8920298079412249/22300745198530623141535718272648361505980416) 1/2 (if (<=.f64 y 200000000000000008769168609015239470926809530368) (/.f64 (.f64 x 1/2) y) 1/2))))
(if (<=.f64 y -17999999999999999369456502555754622707105267712) 1/2 (if (<=.f64 y -7301667457314601/81129638414606681695789005144064) (/.f64 (.f64 1/2 x) y) (if (<=.f64 y -8920298079412249/22300745198530623141535718272648361505980416) 1/2 (if (<=.f64 y 200000000000000008769168609015239470926809530368) (/.f64 (.f64 1/2 x) y) 1/2))))
(if (<=.f64 y -17999999999999999369456502555754622707105267712) 1/2 (if (or (<=.f64 y -7301667457314601/81129638414606681695789005144064) (not (or (<=.f64 y -8920298079412249/22300745198530623141535718272648361505980416) (not (<=.f64 y 200000000000000008769168609015239470926809530368))))) (/.f64 (*.f64 1/2 x) y) 1/2))
(if (<=.f64 y -17999999999999999369456502555754622707105267712) 1/2 (if (or (<=.f64 y -7301667457314601/81129638414606681695789005144064) (and (not (<=.f64 y -8920298079412249/22300745198530623141535718272648361505980416)) (<=.f64 y 200000000000000008769168609015239470926809530368))) (/.f64 (*.f64 1/2 x) y) 1/2))
1/2
-1

Compiler

Compiled 41 to 33 computations (19.5% saved)

soundness408.0ms (23%)

Rules

2080×	`div-sub`
2076×	`fma-def`
1568×	`prod-diff`
1234×	`fma-neg`
1147×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (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
0	15	72
1	216	69
2	3445	69
0	210	3851
1	591	3851
0	210	3851
1	591	3851

Stop Event

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

Compiler

Compiled 492 to 179 computations (63.6% saved)

end0.0ms (0%)

preprocess56.0ms (3.1%)

Compiler: Compiled 106 to 78 computations (26.4% saved)

analyze11.0ms (0.6%)

sample729.0ms (41.1%)

preprocess145.0ms (8.2%)

eval1.0ms (0%)

prune3.0ms (0.2%)

localize48.0ms (2.7%)

series7.0ms (0.4%)

rewrite124.0ms (7%)

simplify29.0ms (1.7%)

eval36.0ms (2%)

prune20.0ms (1.1%)

localize24.0ms (1.3%)

eval0.0ms (0%)

prune4.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes15.0ms (0.9%)

regimes35.0ms (2%)

regimes8.0ms (0.4%)

regimes6.0ms (0.4%)

bsearch50.0ms (2.8%)

simplify8.0ms (0.5%)

soundness408.0ms (23%)

end0.0ms (0%)

preprocess56.0ms (3.1%)

Profiling