Metrics for Statistics.Sample:$skurtosis from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze16.0ms (0.3%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

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 9 to 8 computations (11.1% saved)

sample548.0ms (11.9%)

Memory

-0.5MiB live, 475.8MiB allocated; 128ms collecting garbage

Samples

329.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-div!: 55.0ms (35% of total)

ival-mult!: 54.0ms (34.4% of total)

ival-sub!: 47.0ms (29.9% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

preprocess57.0ms (1.2%)

Memory

-4.7MiB live, 42.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	70	43
2	269	42
3	861	42
4	3789	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Symmetry

(abs y)

Compiler

Compiled 12 to 12 computations (0% saved)

series94.0ms (2.1%)

Memory

26.8MiB live, 74.0MiB allocated; 4ms collecting garbage

Counts

6 → 9

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

Outputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
#s(approx (/ x (* y y)) (/.f64 x (pow.f64 y #s(literal 2 binary64))))
#s(approx x x)
#s(approx (- (/ x (* y y)) 3) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ x (* y y)) 3) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (- (/ x (* y y)) 3) (/.f64 (+.f64 x (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx y y)

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	x	@	inf	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	y	@	0	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	x	@	0	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	y	@	inf	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)

rewrite952.0ms (20.7%)

Memory

11.3MiB live, 715.0MiB allocated; 204ms collecting garbage

Counts

6 → 126

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

Outputs
(.f64 (-.f64 x (.f64 (.f64 y #s(literal 3 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 (-.f64 (.f64 y #s(literal 3 binary64)) (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 (/.f64 x y) (.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 (neg.f64 (fabs.f64 y)) #s(literal 3 binary64) (/.f64 x (fabs.f64 y))) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(+.f64 (/.f64 x (*.f64 y y)) (neg.f64 #s(literal 3 binary64)))
(+.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (neg.f64 y)) (/.f64 x (.f64 y y)))
(+.f64 (neg.f64 #s(literal 3 binary64)) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (neg.f64 (.f64 (.f64 y #s(literal 3 binary64)) y)) (.f64 y y)) (/.f64 x (.f64 y y)))
(+.f64 (/.f64 (.f64 (fabs.f64 y) (neg.f64 #s(literal 3 binary64))) (fabs.f64 y)) (/.f64 x (.f64 y y)))
(+.f64 (/.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (neg.f64 (.f64 y y))) (/.f64 x (.f64 y y)))
(+.f64 (/.f64 (neg.f64 (.f64 y #s(literal 3 binary64))) y) (/.f64 x (.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 y #s(literal 3 binary64)) y))
(-.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (neg.f64 y)) (neg.f64 (/.f64 x (.f64 y y))))
(-.f64 (neg.f64 #s(literal 3 binary64)) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (neg.f64 (.f64 (.f64 y #s(literal 3 binary64)) y)) (.f64 y y)) (neg.f64 (/.f64 x (.f64 y y))))
(-.f64 (/.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (neg.f64 (.f64 y y))) (neg.f64 (/.f64 x (.f64 y y))))
(-.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (.f64 y y)))
(/.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x y)) (neg.f64 y))
(/.f64 (-.f64 (/.f64 x y) (*.f64 y #s(literal 3 binary64))) y)
(/.f64 (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) x) (neg.f64 (*.f64 y y)))
(/.f64 (-.f64 x (.f64 (.f64 y #s(literal 3 binary64)) y)) (*.f64 y y))
(/.f64 (fma.f64 (neg.f64 (fabs.f64 y)) #s(literal 3 binary64) (/.f64 x (fabs.f64 y))) (fabs.f64 y))
(/.f64 (-.f64 (*.f64 (fabs.f64 y) #s(literal 3 binary64)) (/.f64 x (fabs.f64 y))) (neg.f64 (fabs.f64 y)))
(/.f64 (fma.f64 (neg.f64 #s(literal 3 binary64)) (neg.f64 (fabs.f64 y)) (neg.f64 (/.f64 x (fabs.f64 y)))) (neg.f64 (fabs.f64 y)))
(/.f64 (-.f64 (*.f64 (neg.f64 #s(literal 3 binary64)) (neg.f64 (fabs.f64 y))) (/.f64 x (fabs.f64 y))) (neg.f64 (fabs.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y) (neg.f64 #s(literal 3 binary64)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) (neg.f64 #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x (neg.f64 #s(literal 3 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x) (neg.f64 #s(literal 3 binary64)))
(fma.f64 (/.f64 x (fabs.f64 y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (neg.f64 #s(literal 3 binary64)))
(fma.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (/.f64 x (fabs.f64 y)) (neg.f64 #s(literal 3 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 x y)) (neg.f64 #s(literal 3 binary64)))
(fma.f64 (neg.f64 (/.f64 x (fabs.f64 y))) (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (neg.f64 #s(literal 3 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (neg.f64 (/.f64 x (fabs.f64 y))) (neg.f64 #s(literal 3 binary64)))
(fma.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64) (neg.f64 #s(literal 3 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 #s(literal 3 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 x (*.f64 y y))) (neg.f64 #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)) (neg.f64 #s(literal 3 binary64)))
(neg.f64 (-.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (/.f64 x (fabs.f64 y)))
(.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
(*.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 x y)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (neg.f64 (/.f64 x (fabs.f64 y))))
(*.f64 (/.f64 x (fabs.f64 y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (neg.f64 (/.f64 x (fabs.f64 y))) (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 x (.f64 y y))))
(.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 x y)) (neg.f64 y))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (/.f64 x (fabs.f64 y))) (neg.f64 (fabs.f64 y)))
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 y))
(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (/.f64 x y)) (neg.f64 #s(literal 1 binary64))) y)
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) x) (neg.f64 (fabs.f64 y)))
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (neg.f64 x)) (fabs.f64 y))
(/.f64 (*.f64 (/.f64 x (fabs.f64 y)) (neg.f64 #s(literal 1 binary64))) (neg.f64 (fabs.f64 y)))
(/.f64 (*.f64 (neg.f64 (/.f64 x (fabs.f64 y))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 x y))) (.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 x (fabs.f64 y))) (.f64 #s(literal 2 binary64) (fabs.f64 y)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 x (fabs.f64 y)))) (.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 y))))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 x (.f64 y y))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 y y))))
(neg.f64 (neg.f64 (/.f64 x (*.f64 y y))))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 0 binary64) x))
(+.f64 x (*.f64 x #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 x) (neg.f64 #s(literal 1 binary64)) (*.f64 x #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(literal 0 binary64)))
(neg.f64 (neg.f64 x))
(*.f64 y y)
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(fabs.f64 (*.f64 y y))
(fabs.f64 (neg.f64 (*.f64 y y)))
(fabs.f64 (*.f64 y (fabs.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 y) y))
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 y) (fabs.f64 y)))
(fabs.f64 (*.f64 y (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) y))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y))))
(neg.f64 (neg.f64 (*.f64 y y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (.f64 y y) (.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 y y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 y y) (*.f64 y y)))
y
(neg.f64 (neg.f64 y))
#s(literal 3 binary64)
(neg.f64 (neg.f64 #s(literal 3 binary64)))

eval12.0ms (0.3%)

Memory: 24.6MiB live, 24.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 752 to 360 computations (52.1% saved)

prune4.0ms (0.1%)

Memory

-41.2MiB live, 5.6MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	4	130

Accuracy

100.0%

Counts

130 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	95.6%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	99.9%	(-.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
▶	55.8%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 28 to 28 computations (0% saved)

series121.0ms (2.6%)

Memory

37.3MiB live, 37.3MiB allocated; 0ms collecting garbage

Counts

12 → 10

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal 3 binary64)
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)

Outputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
#s(approx (* (/ x y) (/ 1 y)) (/.f64 x (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (- (/ x (* y y)) 3) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ x (* y y)) 3) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (- (/ x (* y y)) 3) (/.f64 (+.f64 x (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
#s(approx y y)
#s(approx (/ 1 y) (/.f64 #s(literal 1 binary64) y))

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	((- (/ x (* y y)) 3) -3 (- (* (/ x y) (/ 1 y)) 3) (* (/ x y) (/ 1 y)) (/ x y) x y (/ 1 y) 1 3 (- (/ (/ x y) y) 3) (/ (/ x y) y))
2.0ms	x	@	-inf	((- (/ x (* y y)) 3) -3 (- (* (/ x y) (/ 1 y)) 3) (* (/ x y) (/ 1 y)) (/ x y) x y (/ 1 y) 1 3 (- (/ (/ x y) y) 3) (/ (/ x y) y))
2.0ms	y	@	-inf	((- (/ x (* y y)) 3) -3 (- (* (/ x y) (/ 1 y)) 3) (* (/ x y) (/ 1 y)) (/ x y) x y (/ 1 y) 1 3 (- (/ (/ x y) y) 3) (/ (/ x y) y))
1.0ms	y	@	inf	((- (/ x (* y y)) 3) -3 (- (* (/ x y) (/ 1 y)) 3) (* (/ x y) (/ 1 y)) (/ x y) x y (/ 1 y) 1 3 (- (/ (/ x y) y) 3) (/ (/ x y) y))
1.0ms	y	@	0	((- (/ x (* y y)) 3) -3 (- (* (/ x y) (/ 1 y)) 3) (* (/ x y) (/ 1 y)) (/ x y) x y (/ 1 y) 1 3 (- (/ (/ x y) y) 3) (/ (/ x y) y))

rewrite2.6s (56.5%)

Memory

-8.1MiB live, 669.3MiB allocated; 274ms collecting garbage

Counts

12 → 1 523

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal 3 binary64)
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)

Outputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
(.f64 (-.f64 x (.f64 (.f64 y #s(literal 3 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 (-.f64 (.f64 y #s(literal 3 binary64)) (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 (/.f64 x y) (.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 (neg.f64 (fabs.f64 y)) #s(literal 3 binary64) (/.f64 x (fabs.f64 y))) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(+.f64 (/.f64 x (*.f64 y y)) (neg.f64 #s(literal 3 binary64)))
(+.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (neg.f64 y)) (/.f64 x (.f64 y y)))
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(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 x (.f64 y y))) (.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 y))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 x (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 x (.f64 y y))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 x (.f64 y y))) (.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 x (.f64 y y))) (.f64 (neg.f64 (/.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 x (.f64 y y))) (.f64 (/.f64 x (fabs.f64 y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(fma.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 y))))
(fma.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 0 binary64)))
(fma.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64) (.f64 (/.f64 x (fabs.f64 y)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (neg.f64 (/.f64 x y)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (/.f64 x (fabs.f64 y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 y y))))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 y))))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x (.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (/.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x (fabs.f64 y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (neg.f64 (/.f64 x (fabs.f64 y))) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 y y))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (neg.f64 (/.f64 x (fabs.f64 y))) (*.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 y))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (neg.f64 (/.f64 x (fabs.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (neg.f64 (/.f64 x (fabs.f64 y))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (neg.f64 (/.f64 x (fabs.f64 y))) (.f64 (/.f64 x (.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (neg.f64 (/.f64 x (fabs.f64 y))) (*.f64 (neg.f64 (/.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (neg.f64 (/.f64 x (fabs.f64 y))) (*.f64 (/.f64 x (fabs.f64 y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 x (.f64 y y))) (neg.f64 #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(fma.f64 (neg.f64 (/.f64 x (.f64 y y))) (neg.f64 #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 y))))
(fma.f64 (neg.f64 (/.f64 x (.f64 y y))) (neg.f64 #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 x (.f64 y y))) (neg.f64 #s(literal 1 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 x (.f64 y y))) (neg.f64 #s(literal 1 binary64)) (.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 x (.f64 y y))) (neg.f64 #s(literal 1 binary64)) (.f64 (neg.f64 (/.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 x (.f64 y y))) (neg.f64 #s(literal 1 binary64)) (.f64 (/.f64 x (fabs.f64 y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 y y))))
(fma.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 y))))
(fma.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 x (.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (/.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (fabs.f64 y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 y))))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (neg.f64 (/.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (/.f64 x (fabs.f64 y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 x y) (+.f64 y y)) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 y y))))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 x y) (+.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 y))))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 x y) (+.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 x y) (+.f64 y y)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 x y) (+.f64 y y)) (.f64 (/.f64 x (.f64 y y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 x y) (+.f64 y y)) (*.f64 (neg.f64 (/.f64 x y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 x y) (+.f64 y y)) (*.f64 (/.f64 x (fabs.f64 y)) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (/.f64 x (*.f64 y y))))

eval133.0ms (2.9%)

Memory: 9.9MiB live, 191.4MiB allocated; 39ms collecting garbage
Compiler: Compiled 8 719 to 3 356 computations (61.5% saved)

prune20.0ms (0.4%)

Memory

-6.5MiB live, 39.5MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	1 190	0	1 190
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	1 190	4	1 194

Accuracy

100.0%

Counts

1 194 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	95.6%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	99.9%	(-.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
✓	55.8%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 48 to 47 computations (2.1% saved)

regimes8.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(-.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))

Calls

5 calls:

2.0ms	x
2.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 y y)`
99.9%	1	`(/.f64 x (*.f64 y y))`
99.9%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes9.0ms (0.2%)

Memory

-33.5MiB live, 13.1MiB allocated; 3ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Calls

5 calls:

4.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
1.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
95.6%	1	`(*.f64 y y)`
95.6%	1	`(/.f64 x (*.f64 y y))`
95.6%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
95.6%	1	`x`
95.6%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Calls

5 calls:

1.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
55.8%	1	`(*.f64 y y)`
55.8%	1	`x`
55.8%	1	`y`
55.8%	1	`(/.f64 x (*.f64 y y))`
55.8%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

derivations1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 15 computations (0% saved)

preprocess20.0ms (0.4%)

Memory: -6.1MiB live, 40.9MiB allocated; 3ms collecting garbage
Remove: (abs y)
Compiler: Compiled 61 to 61 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze16.0ms (0.3%)

sample548.0ms (11.9%)

preprocess57.0ms (1.2%)

series94.0ms (2.1%)

rewrite952.0ms (20.7%)

eval12.0ms (0.3%)

prune4.0ms (0.1%)

series121.0ms (2.6%)

rewrite2.6s (56.5%)

eval133.0ms (2.9%)

prune20.0ms (0.4%)

regimes8.0ms (0.2%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

derivations1.0ms (0%)

preprocess20.0ms (0.4%)

end0.0ms (0%)

Profiling