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

analyze10.0ms (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)

sample804.0ms (49.2%)

Results

703.0ms	7212×	body	256	valid
90.0ms	1044×	body	256	infinite

Bogosity

preprocess121.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

2102×	`div-sub`
2076×	`fma-def`
1234×	`fma-neg`
946×	`sub-neg`
756×	`times-frac`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	84
1	34	76
2	74	76
3	180	76
4	410	76
5	1023	68
6	2971	64
7	5222	64
8	6246	64
9	6855	64
10	7349	64
11	7665	64

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`associate-/r*`
2×	`*-commutative`
2×	`count-2`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	10	19
2	13	19
3	15	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize29.0ms (1.8%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series4.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (+.f64 x y) (+.f64 y y))
1.0ms	x	@	inf	(/.f64 (+.f64 x y) (+.f64 y y))
0.0ms	y	@	0	(/.f64 (+.f64 x y) (+.f64 y y))
0.0ms	y	@	inf	(/.f64 (+.f64 x y) (+.f64 y y))
0.0ms	x	@	-inf	(/.f64 (+.f64 x y) (+.f64 y y))

rewrite60.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`pow1`
1682×	`add-exp-log`
1680×	`log1p-expm1-u`
1680×	`expm1-log1p-u`
1646×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	162	19
2	2627	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (*.f64 (+.f64 x y) (/.f64 0 0))) 1)
(*.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 1/2 (/.f64 (+.f64 x y) y))
(.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 2 (/.f64 y (+.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)))
(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))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))

simplify26.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
24×	`sqr-pow`
20×	`associate-*r/`
16×	`associate-*l/`
12×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	911
1	268	911

Stop Event

1×

unsound

Counts

57 → 48

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 (+.f64 1 (*.f64 (+.f64 x y) (/.f64 0 0))) 1)
(*.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 1/2 (/.f64 (+.f64 x y) y))
(.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 2 (/.f64 y (+.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)))
(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))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))

Outputs
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(-.f64 (+.f64 1 (*.f64 (+.f64 x y) (/.f64 0 0))) 1)
0
(*.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 1/2 (/.f64 (+.f64 x y) y))
(.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) (fma.f64 y y 0)) (.f64 2 (pow.f64 y 3)))
(*.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 2 (/.f64 y (+.f64 x y))) -1)
(/.f64 0 (*.f64 2 (/.f64 y (+.f64 x y))))
(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))))
(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
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
0

eval8.0ms (0.5%)

Compiler: Compiled 479 to 278 computations (42% saved)

prune25.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Accurracy

100.0%

Counts

49 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(/.f64 (*.f64 1/2 x) y)
▶	100.0%	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
	52.1%	1/2
	2.3%	-1
▶	49.2%	(/.f64 (*.f64 1/2 x) y)
▶	100.0%	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
	52.1%	1/2
	2.3%	-1

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize46.0ms (2.8%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
0.0ms	x	@	0	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
0.0ms	y	@	0	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
0.0ms	y	@	inf	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
0.0ms	y	@	-inf	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))

rewrite65.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`cbrt-prod`
920×	`log-prod`
726×	`exp-prod`
528×	`prod-exp`
500×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	178	19
2	2467	15

Stop Event

1×	node limit

Counts

1 → 67

Calls

Call 1

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

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

simplify94.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1110×	`associate-l`
702×	`cancel-sign-sub-inv`
668×	`fma-neg`
624×	`div-sub`
486×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2215
1	418	2165
2	1128	2119
3	5443	2095

Stop Event

1×	node limit

Counts

91 → 85

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

Outputs
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
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(fma.f64 (pow.f64 y -1/2) (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) 1/2)
(fma.f64 (pow.f64 y -1/2) (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) 1/2)
(fma.f64 (pow.f64 y -1/2) (*.f64 1/2 (/.f64 x (sqrt.f64 y))) 1/2)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) 1) (/.f64 (cbrt.f64 (.f64 1/2 x)) y) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 1/2 (/.f64 x y))) 1/2)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 x (/.f64 1/2 y))) 1/2)
(fma.f64 (cbrt.f64 (/.f64 x (/.f64 y 1/2))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 y) 2)) 1/2)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 1/2 x)) (sqrt.f64 y)) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (/.f64 (sqrt.f64 (.f64 1/2 x)) 1) (/.f64 (sqrt.f64 (.f64 1/2 x)) y) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (/.f64 (sqrt.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (.f64 1/2 x)) (cbrt.f64 y)) 1/2)
(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) 1/2)

eval26.0ms (1.6%)

Compiler: Compiled 1197 to 816 computations (31.8% saved)

prune14.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	2	2
Done	0	0	0
Total	85	4	89

Accurracy

100.0%

Counts

89 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(/.f64 (*.f64 1/2 x) y)
✓	100.0%	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
	52.1%	1/2
	2.3%	-1
✓	49.2%	(/.f64 (*.f64 1/2 x) y)
✓	100.0%	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
	52.1%	1/2
	2.3%	-1

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	2	2
Total	4	4

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(/.f64 (*.f64 1/2 x) y)
✓	100.0%	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
	52.1%	1/2
	2.3%	-1
✓	49.2%	(/.f64 (*.f64 1/2 x) y)
✓	100.0%	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
	52.1%	1/2
	2.3%	-1

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	2	2
Total	4	4

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(/.f64 (*.f64 1/2 x) y)
✓	100.0%	(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
	52.1%	1/2
	2.3%	-1

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes13.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
4.0ms	x
3.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

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

Compiler

Compiled 38 to 24 computations (36.8% saved)

regimes25.0ms (1.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
77.1%	3	`x`
81.0%	3	`y`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes38.0ms (2.3%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
1/2

Outputs
1/2

Calls

2 calls:

34.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
52.1%	1	`x`
52.1%	1	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (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:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
2.3%	1	`x`
2.3%	1	`y`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch31.0ms (1.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.01738048488987046	107289.64716398857
16.0ms	-5.084864208917218e-50	-2.3555208968345216e-58

Results

26.0ms	285×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 230 to 189 computations (17.8% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	54
1	25	54

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(if (<=.f64 y -2484628684844603/55213970774324510299478046898216203619608871777363092441300193790394368) 1/2 (if (<=.f64 y 2476979795053773/2251799813685248) (/.f64 (*.f64 1/2 x) y) 1/2))
1/2
-1

Outputs
(+.f64 1/2 (/.f64 (*.f64 1/2 x) y))
(if (<=.f64 y -2484628684844603/55213970774324510299478046898216203619608871777363092441300193790394368) 1/2 (if (<=.f64 y 2476979795053773/2251799813685248) (/.f64 (*.f64 1/2 x) y) 1/2))
1/2
-1

Compiler

Compiled 32 to 26 computations (18.8% saved)

soundness120.0ms (7.4%)

Rules

1802×	`pow1`
1682×	`add-exp-log`
1680×	`log1p-expm1-u`
1680×	`expm1-log1p-u`
1646×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	911
1	268	911
0	7	19
1	162	19
2	2627	19
0	84	911
1	268	911
0	84	911
1	268	911

Stop Event

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

Compiler

Compiled 196 to 58 computations (70.4% saved)

end0.0ms (0%)

preprocess47.0ms (2.9%)

Compiler: Compiled 88 to 64 computations (27.3% saved)

analyze10.0ms (0.6%)

sample804.0ms (49.2%)

preprocess121.0ms (7.4%)

simplify4.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize29.0ms (1.8%)

series4.0ms (0.3%)

rewrite60.0ms (3.7%)

simplify26.0ms (1.6%)

eval8.0ms (0.5%)

prune25.0ms (1.6%)

localize46.0ms (2.8%)

series2.0ms (0.1%)

rewrite65.0ms (4%)

simplify94.0ms (5.8%)

eval26.0ms (1.6%)

prune14.0ms (0.8%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes13.0ms (0.8%)

regimes25.0ms (1.5%)

regimes38.0ms (2.3%)

regimes7.0ms (0.4%)

bsearch31.0ms (1.9%)

simplify8.0ms (0.5%)

soundness120.0ms (7.4%)

end0.0ms (0%)

preprocess47.0ms (2.9%)

Profiling