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

analyze12.0ms (0.7%)

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 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

Operation ival-mult, time spent: 2.0ms, 49.0% of total-time

Operation ival-sub, time spent: 1.0ms, 25.0% of total-time

Operation ival-div, time spent: 1.0ms, 25.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.1s (68.7%)

Results

847.0ms	6173×	valid
213.0ms	2082×	infinite
0.0ms	1×	infinite

Precisions

Click to see histograms. Total time spent on operations: 471.0ms

Operation ival-mult, time spent: 220.0ms, 47.0% of total-time

Operation ival-sub, time spent: 160.0ms, 34.0% of total-time

Operation ival-div, time spent: 72.0ms, 15.0% of total-time

Operation const, time spent: 18.0ms, 4.0% of total-time

Bogosity

preprocess364.0ms (22.4%)

Algorithm

1×	egg-herbie

Rules

1406×	`fma-def`
428×	`times-frac`
288×	`div-sub`
266×	`associate-/r*`
176×	`associate-/l*`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 x (*.f64 y y))`
-	-	`(*.f64 y y)`
-	-	`(-.f64 (/.f64 x (*.f64 y y)) 3)`
-	-	`3`
-	-	`y`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	212
1	53	212
2	117	196
3	321	196
4	861	196
5	1505	196
6	2121	196
7	2375	196
8	2552	196
9	2582	196
10	2601	196
11	2602	196
12	2602	196

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) 3)
(-.f64 (/.f64 x (*.f64 y y)) 3)
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) 3)
(-.f64 (/.f64 x (*.f64 (neg.f64 y) (neg.f64 y))) 3)
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) 3))
(neg.f64 (-.f64 (/.f64 x (*.f64 (neg.f64 y) (neg.f64 y))) 3))
(-.f64 (/.f64 y (*.f64 x x)) 3)

Outputs
(-.f64 (/.f64 x (*.f64 y y)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (*.f64 y y)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) 3)
(+.f64 (/.f64 (neg.f64 x) (*.f64 y y)) -3)
(-.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 (neg.f64 y) (neg.f64 y))) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) 3))
(neg.f64 (+.f64 (/.f64 (neg.f64 x) (*.f64 y y)) -3))
(+.f64 (neg.f64 (/.f64 (neg.f64 x) (*.f64 y y))) 3)
(+.f64 (/.f64 x (*.f64 y y)) 3)
(neg.f64 (-.f64 (/.f64 x (*.f64 (neg.f64 y) (neg.f64 y))) 3))
(neg.f64 (+.f64 (/.f64 x (*.f64 y y)) -3))
(+.f64 (/.f64 (neg.f64 x) (*.f64 y y)) 3)
(-.f64 3 (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 y (*.f64 x x)) 3)
(+.f64 (/.f64 y (*.f64 x x)) -3)
(+.f64 (/.f64 (/.f64 y x) x) -3)

Symmetry

(abs y)

Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

Operation ival-sub, time spent: 52.0ms, 51.0% of total-time

Operation ival-div, time spent: 22.0ms, 22.0% of total-time

Operation ival-mult, time spent: 21.0ms, 21.0% of total-time

Operation const, time spent: 7.0ms, 7.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.9%	(-.f64 (/.f64 x (*.f64 y y)) 3)

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize97.0ms (6%)

Compiler: Compiled 21 to 8 computations (61.9% saved)
Precisions: Click to see histograms. Total time spent on operations: 44.0ms
Operation ival-sub, time spent: 20.0ms, 45.0% of total-time
Operation ival-div, time spent: 11.0ms, 25.0% of total-time
Operation ival-mult, time spent: 10.0ms, 23.0% of total-time
Operation const, time spent: 3.0ms, 7.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Accuracy

93.9%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.9%	(-.f64 (/.f64 x (*.f64 y y)) 3)

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	14	28
2	19	28
3	21	28
4	22	28

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) 3)

Outputs
(-.f64 (/.f64 x (*.f64 y y)) 3)

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess31.0ms (1.9%)

Remove: (abs y)
Compiler: Compiled 90 to 60 computations (33.3% saved)

analyze12.0ms (0.7%)

sample1.1s (68.7%)

preprocess364.0ms (22.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize97.0ms (6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify3.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess31.0ms (1.9%)

Profiling