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

analyze24.0ms (0.9%)

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

Results

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

Operation ival-add, time spent: 5.0ms, 60.0% of total-time

Operation ival-div, time spent: 3.0ms, 36.0% of total-time

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

sample1.7s (66.4%)

Results

1.5s	7247×	256	valid
160.0ms	1009×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 488.0ms

Operation ival-add, time spent: 312.0ms, 64.0% of total-time

Operation ival-div, time spent: 161.0ms, 33.0% of total-time

Operation const, time spent: 16.0ms, 3.0% of total-time

Bogosity

preprocess708.0ms (27%)

Algorithm

1×	egg-herbie

Rules

981×	`fma-neg`
501×	`times-frac`
486×	`div-sub`
474×	`distribute-lft-in`
444×	`distribute-rgt-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 x y)`
-	-	`(/.f64 (+.f64 x y) (+.f64 y y))`
-	-	`y`
-	-	`(+.f64 y y)`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	23	220
1	50	196
2	119	196
3	340	184
4	1369	162
5	3017	151
6	4389	151
7	5089	147
8	5561	147
9	5865	147
10	6107	147
11	6577	147
12	6783	147
13	6787	147

Stop Event

1×

saturated

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)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y)))
(neg.f64 (/.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 #s(literal 2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 y #s(literal 2 binary64)))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 y #s(literal 2 binary64)))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 y x) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 x y) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 y x) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 x y) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y)))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 y x) (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) (neg.f64 y))))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 y x) (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(/.f64 (+.f64 y x) (+.f64 x x))
(/.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) x))
(-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))

Results

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

Operation ival-div, time spent: 131.0ms, 92.0% of total-time

Operation ival-add, time spent: 11.0ms, 8.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

eval2.0ms (0.1%)

Results

Compiler

Compiled 29 to 18 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

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

Results

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

localize72.0ms (2.7%)

Results

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-add, time spent: 8.0ms, 68.0% of total-time

Operation ival-div, time spent: 3.0ms, 25.0% of total-time

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

eval0.0ms (0%)

Results

Compiler

Compiled 2 to 2 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune1.0ms (0%)

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

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

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

Results

Compiler

Compiled 18 to 10 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	11	31

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Results

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

soundness0.0ms (0%)

end0.0ms (0%)

preprocess68.0ms (2.6%)

Compiler: Compiled 54 to 34 computations (37% saved)

analyze24.0ms (0.9%)

sample1.7s (66.4%)

preprocess708.0ms (27%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize72.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess68.0ms (2.6%)

Profiling