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

analyze9.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

sample1.3s (41.1%)

Results

950.0ms	7179×	body	256	valid
342.0ms	1077×	body	256	infinite

Bogosity

preprocess160.0ms (5.1%)

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)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	99.9%	(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
▶	100.0%	(/.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 (1.5%)

Localize:

Found 3 expressions with local error:

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

series8.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite126.0ms (4%)

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))))

simplify28.0ms (0.9%)

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

eval35.0ms (1.1%)

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

prune19.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	116	4	120

Accuracy

100.0%

Counts

120 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.1%	(/.f64 (*.f64 x 1/2) y)
▶	100.0%	(-.f64 1/2 (/.f64 (*.f64 x -1/2) y))
	53.0%	1/2
	2.1%	-1
▶	48.1%	(/.f64 (*.f64 x 1/2) y)
▶	100.0%	(-.f64 1/2 (/.f64 (*.f64 x -1/2) y))
	53.0%	1/2
	2.1%	-1

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize125.0ms (3.9%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`unpow-prod-down`
708×	`log1p-expm1-u`
708×	`expm1-log1p-u`
706×	`log-prod`
414×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	130	25
2	1825	25

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (.f64 (/.f64 (.f64 1/2 x) y) 1))
(+.f64 (/.f64 (*.f64 1/2 x) y) 1/2)
(+.f64 0 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))
(+.f64 (log.f64 (exp.f64 1/2)) (/.f64 (*.f64 1/2 x) y))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))))
(.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) 1)
(.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) (log.f64 (exp.f64 1)))
(.f64 1 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))
(.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 2))
(.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)) 1))
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (pow.f64 (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)) 1))
(.f64 (pow.f64 1 1/3) (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3/2) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 1/3))
(.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 2))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 2))
(/.f64 1 (/.f64 (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4) (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (/.f64 x y) 1/2) (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2))))
(/.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2)) (fma.f64 -1/2 (/.f64 x y) 1/2))
(/.f64 (neg.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3))) (neg.f64 (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2))) (neg.f64 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 (.f64 1/2 x) y) 3)) (+.f64 1/4 (-.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (.f64 1/2 (/.f64 (.f64 1/2 x) y)))))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 (.f64 1/2 x) y) 2)) (-.f64 1/2 (/.f64 (.f64 1/2 x) y)))
(pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4) (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 x y) 1/2) (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(exp.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(fma.f64 (*.f64 x -1/2) (neg.f64 (/.f64 1 y)) 1/2)
(fma.f64 1 (/.f64 (*.f64 1/2 x) y) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 y -2))) 2) (neg.f64 (cbrt.f64 (/.f64 x (.f64 y -2)))) 1/2)
(fma.f64 (sqrt.f64 (/.f64 x (.f64 y -2))) (neg.f64 (sqrt.f64 (/.f64 x (.f64 y -2)))) 1/2)
(fma.f64 (*.f64 1/2 x) (/.f64 1 y) 1/2)
(fma.f64 -1 (/.f64 x (*.f64 y -2)) 1/2)
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 1/2 x) y)) (cbrt.f64 (/.f64 (.f64 1/2 x) y))) (cbrt.f64 (/.f64 (.f64 1/2 x) y)) 1/2)
(fma.f64 (sqrt.f64 (/.f64 (.f64 1/2 x) y)) (sqrt.f64 (/.f64 (.f64 1/2 x) y)) 1/2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 y -2))) 2)) (cbrt.f64 (/.f64 x (.f64 y -2))) 1/2)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (.f64 y -2)))) (sqrt.f64 (/.f64 x (.f64 y -2))) 1/2)

simplify77.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-def`
730×	`log-prod`
646×	`exp-prod`
582×	`sqr-pow`
496×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	3096
1	450	2664
2	1462	2592
3	5619	2578

Stop Event

1×	node limit

Counts

90 → 88

Calls

Call 1

Inputs
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 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (.f64 (/.f64 (.f64 1/2 x) y) 1))
(+.f64 (/.f64 (*.f64 1/2 x) y) 1/2)
(+.f64 0 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))
(+.f64 (log.f64 (exp.f64 1/2)) (/.f64 (*.f64 1/2 x) y))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))))
(.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) 1)
(.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) (log.f64 (exp.f64 1)))
(.f64 1 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))
(.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 2))
(.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)) 1))
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (pow.f64 (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)) 1))
(.f64 (pow.f64 1 1/3) (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3/2) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 1/3))
(.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 2))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 2))
(/.f64 1 (/.f64 (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4) (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (/.f64 x y) 1/2) (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2))))
(/.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2)) (fma.f64 -1/2 (/.f64 x y) 1/2))
(/.f64 (neg.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3))) (neg.f64 (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2))) (neg.f64 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 (.f64 1/2 x) y) 3)) (+.f64 1/4 (-.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (.f64 1/2 (/.f64 (.f64 1/2 x) y)))))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 (.f64 1/2 x) y) 2)) (-.f64 1/2 (/.f64 (.f64 1/2 x) y)))
(pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4) (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 x y) 1/2) (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(exp.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(fma.f64 (*.f64 x -1/2) (neg.f64 (/.f64 1 y)) 1/2)
(fma.f64 1 (/.f64 (*.f64 1/2 x) y) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 y -2))) 2) (neg.f64 (cbrt.f64 (/.f64 x (.f64 y -2)))) 1/2)
(fma.f64 (sqrt.f64 (/.f64 x (.f64 y -2))) (neg.f64 (sqrt.f64 (/.f64 x (.f64 y -2)))) 1/2)
(fma.f64 (*.f64 1/2 x) (/.f64 1 y) 1/2)
(fma.f64 -1 (/.f64 x (*.f64 y -2)) 1/2)
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 1/2 x) y)) (cbrt.f64 (/.f64 (.f64 1/2 x) y))) (cbrt.f64 (/.f64 (.f64 1/2 x) y)) 1/2)
(fma.f64 (sqrt.f64 (/.f64 (.f64 1/2 x) y)) (sqrt.f64 (/.f64 (.f64 1/2 x) y)) 1/2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 y -2))) 2)) (cbrt.f64 (/.f64 x (.f64 y -2))) 1/2)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (.f64 y -2)))) (sqrt.f64 (/.f64 x (.f64 y -2))) 1/2)

Outputs
1/2
(+.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 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 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 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(*.f64 x (/.f64 1/2 y))
(+.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 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 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 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(*.f64 x (/.f64 1/2 y))
(+.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 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 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 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(*.f64 x (/.f64 1/2 y))
(+.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 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 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)
1/2
(+.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 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 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)
1/2
(+.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 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 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 1/2 (/.f64 (*.f64 1/2 x) y))
(+.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 1/2 (.f64 (/.f64 (.f64 1/2 x) y) 1))
(+.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 (*.f64 1/2 x) y) 1/2)
(+.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 0 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))
(+.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 (log.f64 (exp.f64 1/2)) (/.f64 (*.f64 1/2 x) y))
(+.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 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1/2 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (exp.f64 (+.f64 1/2 (.f64 1/2 (/.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/2 (.f64 1/2 (/.f64 x y)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 1/2 y) 1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))))
(+.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 1/2 (/.f64 (.f64 1/2 x) y)) 1)
(+.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 1/2 (/.f64 (.f64 1/2 x) y)) (log.f64 (exp.f64 1)))
(+.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 1 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))
(+.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 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) 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 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(+.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 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) 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 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(+.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 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (-.f64 1/8 (/.f64 (pow.f64 (/.f64 x y) 3) -8)) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (+.f64 1/4 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4))))
(.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)) 1))
(.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (-.f64 1/8 (/.f64 (pow.f64 (/.f64 x y) 3) -8)) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (+.f64 1/4 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4))))
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2)) (fma.f64 -1/2 (/.f64 x y) 1/2))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2)) (fma.f64 (/.f64 x y) -1/2 1/2))
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (pow.f64 (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)) 1))
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2)) (fma.f64 -1/2 (/.f64 x y) 1/2))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2)) (fma.f64 (/.f64 x y) -1/2 1/2))
(.f64 (pow.f64 1 1/3) (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))
(+.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 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(+.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 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(+.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 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(+.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 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 3))
(+.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 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3/2) 1/3))
(+.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 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3)) 1/3))
(+.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 (pow.f64 (pow.f64 (.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 (.f64 1/2 (/.f64 x y))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 1/2 y) 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 1/2 y) 1/2)) 8)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 8)))
(.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) 5/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 5/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 1/2 y) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 1/2 y) 1/2) 5/2)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) 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 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) 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 1 (/.f64 (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4) (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3))))
(.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (-.f64 1/8 (/.f64 (pow.f64 (/.f64 x y) 3) -8)) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (+.f64 1/4 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (/.f64 x y) 1/2) (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2))))
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2)) (fma.f64 -1/2 (/.f64 x y) 1/2))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2)) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (-.f64 1/8 (/.f64 (pow.f64 (/.f64 x y) 3) -8)) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (+.f64 1/4 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4))))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2)) (fma.f64 -1/2 (/.f64 x y) 1/2))
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2)) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 (neg.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3))) (neg.f64 (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (-.f64 1/8 (/.f64 (pow.f64 (/.f64 x y) 3) -8)) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (+.f64 1/4 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2))) (neg.f64 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2)) (fma.f64 -1/2 (/.f64 x y) 1/2))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2)) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 (.f64 1/2 x) y) 3)) (+.f64 1/4 (-.f64 (pow.f64 (/.f64 (.f64 1/2 x) y) 2) (.f64 1/2 (/.f64 (.f64 1/2 x) y)))))
(.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (-.f64 1/8 (/.f64 (pow.f64 (/.f64 x y) 3) -8)) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (+.f64 1/4 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4))))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 (.f64 1/2 x) y) 2)) (-.f64 1/2 (/.f64 (.f64 1/2 x) y)))
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2)) (fma.f64 -1/2 (/.f64 x y) 1/2))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2)) (fma.f64 (/.f64 x y) -1/2 1/2))
(pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 1)
(+.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)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 3)
(+.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)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 2) 1/2)
(+.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)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3) 1/3)
(+.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)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) 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)
(pow.f64 (/.f64 (fma.f64 (/.f64 x (.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4) (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3))) -1)
(.f64 (-.f64 1/8 (pow.f64 (/.f64 x (.f64 y -2)) 3)) (/.f64 1 (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (-.f64 1/8 (/.f64 (pow.f64 (/.f64 x y) 3) -8)) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x (*.f64 y -2)) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (+.f64 1/4 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4))))
(pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 x y) 1/2) (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2))) -1)
(.f64 (-.f64 1/4 (pow.f64 (/.f64 x (.f64 y -2)) 2)) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 x (*.f64 y -2)) 2)) (fma.f64 -1/2 (/.f64 x y) 1/2))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2)) (fma.f64 (/.f64 x y) -1/2 1/2))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) 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)
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(+.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)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))))
(+.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)
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)) 3))
(+.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)
(expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(+.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)
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(+.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)
(exp.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y))) 1))
(+.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)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))) 1) 1))
(+.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)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) y)))) 3))
(+.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)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y)))) 1/3))
(+.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)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (.f64 1/2 x) 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)
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 (*.f64 1/2 x) y))))
(+.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)
(fma.f64 (*.f64 x -1/2) (neg.f64 (/.f64 1 y)) 1/2)
(+.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)
(fma.f64 1 (/.f64 (*.f64 1/2 x) y) 1/2)
(+.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)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 y -2))) 2) (neg.f64 (cbrt.f64 (/.f64 x (.f64 y -2)))) 1/2)
(+.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)
(fma.f64 (sqrt.f64 (/.f64 x (.f64 y -2))) (neg.f64 (sqrt.f64 (/.f64 x (.f64 y -2)))) 1/2)
(+.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)
(fma.f64 (*.f64 1/2 x) (/.f64 1 y) 1/2)
(+.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)
(fma.f64 -1 (/.f64 x (*.f64 y -2)) 1/2)
(+.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)
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 1/2 x) y)) (cbrt.f64 (/.f64 (.f64 1/2 x) y))) (cbrt.f64 (/.f64 (.f64 1/2 x) y)) 1/2)
(+.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)
(fma.f64 (sqrt.f64 (/.f64 (.f64 1/2 x) y)) (sqrt.f64 (/.f64 (.f64 1/2 x) y)) 1/2)
(+.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)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 y -2))) 2)) (cbrt.f64 (/.f64 x (.f64 y -2))) 1/2)
(+.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)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (.f64 y -2)))) (sqrt.f64 (/.f64 x (.f64 y -2))) 1/2)
(+.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)

eval57.0ms (1.8%)

Compiler: Compiled 1413 to 1070 computations (24.3% saved)

prune15.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	2	2
Picked	0	2	2
Done	0	0	0
Total	87	5	92

Accuracy

100.0%

Counts

92 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.1%	(/.f64 (*.f64 x 1/2) y)
✓	100.0%	(-.f64 1/2 (/.f64 (*.f64 x -1/2) y))
▶	48.0%	(*.f64 x (/.f64 1/2 y))
	53.0%	1/2
	2.1%	-1
✓	48.1%	(/.f64 (*.f64 x 1/2) y)
✓	100.0%	(-.f64 1/2 (/.f64 (*.f64 x -1/2) y))
▶	48.0%	(*.f64 x (/.f64 1/2 y))
	53.0%	1/2
	2.1%	-1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize25.0ms (0.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`unpow-prod-down`
468×	`log-prod`
464×	`cbrt-prod`
418×	`log1p-expm1-u`
418×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	95	19
2	1150	19

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

simplify59.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1338×	`log-div`
1146×	`associate-r`
1070×	`associate-l`
910×	`times-frac`
572×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1306
1	240	1270
2	827	1260
3	6723	1260

Stop Event

1×	node limit

Counts

58 → 51

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(+.f64 0 (/.f64 (*.f64 x 1/2) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 x 1/2) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 x 1/2) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 x 1/2) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 x 1/2) y)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 x 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 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))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 x 1/2) y) 2) (*.f64 x 1/2))) (cbrt.f64 y))
(pow.f64 (/.f64 (*.f64 x 1/2) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 (*.f64 x 1/2) y)))
(pow.f64 (/.f64 y (*.f64 x 1/2)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 x 1/2) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 x 1/2) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 x 1/2) y)))) (sqrt.f64 (log.f64 (/.f64 (.f64 x 1/2) y))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 x 1/2) y)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 x 1/2) y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 x 1/2) y))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (*.f64 x 1/2) y))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 x 1/2) y))) 2))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x 1/2) y)))

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

eval26.0ms (0.8%)

Compiler: Compiled 539 to 383 computations (28.9% saved)

prune11.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	51	5	56

Accuracy

100.0%

Counts

56 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.1%	(/.f64 (*.f64 x 1/2) y)
✓	100.0%	(-.f64 1/2 (/.f64 (*.f64 x -1/2) y))
✓	48.0%	(*.f64 x (/.f64 1/2 y))
	53.0%	1/2
	2.1%	-1
✓	48.1%	(/.f64 (*.f64 x 1/2) y)
✓	100.0%	(-.f64 1/2 (/.f64 (*.f64 x -1/2) y))
✓	48.0%	(*.f64 x (/.f64 1/2 y))
	53.0%	1/2
	2.1%	-1

Compiler

Compiled 58 to 46 computations (20.7% 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
✓	48.1%	(/.f64 (*.f64 x 1/2) y)
✓	100.0%	(-.f64 1/2 (/.f64 (*.f64 x -1/2) y))
✓	48.0%	(*.f64 x (/.f64 1/2 y))
	53.0%	1/2
	2.1%	-1

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes22.0ms (0.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
6.0ms	y
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 50 to 32 computations (36% saved)

regimes14.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes76.0ms (2.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

58.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
81.6%	9	`x`
78.8%	3	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes17.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
78.7%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
1/2

Outputs
1/2

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
53.0%	1	`x`
53.0%	1	`y`

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:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
2.1%	1	`x`
2.1%	1	`y`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch29.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.9887930711714952e+24	5.8632092133911606e+32
15.0ms	-93728.32026528631	-3.670131045068485e-5

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 230 to 189 computations (17.8% saved)

bsearch30.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.9887930711714952e+24	5.8632092133911606e+32
15.0ms	-93728.32026528631	-3.670131045068485e-5

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 230 to 189 computations (17.8% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
16×	`sub-neg`
16×	`+-commutative`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	142
1	55	142
2	71	142
3	87	142
4	96	142
5	100	142
6	101	142

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 1/2 (/.f64 (*.f64 x -1/2) y))
(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
(if (<=.f64 y -27/2) 1/2 (if (<=.f64 y 2199999999999999864305876992) (/.f64 (*.f64 x 1/2) y) 1/2))
(if (<=.f64 y -360) 1/2 (if (<=.f64 y 309999999999999995872804864) (*.f64 x (/.f64 1/2 y)) 1/2))
1/2
-1

Outputs
(-.f64 1/2 (/.f64 (*.f64 x -1/2) y))
(-.f64 1/2 (*.f64 x (/.f64 -1/2 y)))
(if (<=.f64 y -27/2) 1/2 (if (<=.f64 y 2199999999999999864305876992) (/.f64 (*.f64 x 1/2) y) 1/2))
(if (<=.f64 y -27/2) 1/2 (if (<=.f64 y 2199999999999999864305876992) (/.f64 (*.f64 1/2 x) y) 1/2))
(if (<=.f64 y -360) 1/2 (if (<=.f64 y 309999999999999995872804864) (*.f64 x (/.f64 1/2 y)) 1/2))
1/2
-1

Compiler

Compiled 58 to 46 computations (20.7% saved)

soundness644.0ms (20.3%)

Rules

2080×	`div-sub`
2076×	`fma-def`
1568×	`prod-diff`
1568×	`prod-diff`
1234×	`fma-neg`

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	15	72
1	216	69
2	3445	69
0	210	3851
1	591	3851
0	188	3096
1	450	2664
2	1462	2592
3	5619	2578
0	210	3851
1	591	3851

Stop Event

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

Compiler

Compiled 560 to 227 computations (59.5% saved)

end0.0ms (0%)

preprocess61.0ms (1.9%)

Compiler: Compiled 132 to 96 computations (27.3% saved)

analyze9.0ms (0.3%)

sample1.3s (41.1%)

preprocess160.0ms (5.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize48.0ms (1.5%)

series8.0ms (0.2%)

rewrite126.0ms (4%)

simplify28.0ms (0.9%)

eval35.0ms (1.1%)

prune19.0ms (0.6%)

localize125.0ms (3.9%)

series1.0ms (0%)

rewrite63.0ms (2%)

simplify77.0ms (2.4%)

eval57.0ms (1.8%)

prune15.0ms (0.5%)

localize25.0ms (0.8%)

series1.0ms (0%)

rewrite55.0ms (1.7%)

simplify59.0ms (1.8%)

eval26.0ms (0.8%)

prune11.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes22.0ms (0.7%)

regimes14.0ms (0.4%)

regimes76.0ms (2.4%)

regimes17.0ms (0.5%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch29.0ms (0.9%)

bsearch30.0ms (0.9%)

simplify7.0ms (0.2%)

soundness644.0ms (20.3%)

end0.0ms (0%)

preprocess61.0ms (1.9%)

Profiling