Metrics for System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

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

sample902.0ms (81.5%)

Results

551.0ms	6149×	valid
201.0ms	2106×	infinite
0.0ms	1×	valid

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

Operation ival-mult, time spent: 128.0ms, 64.0% of total-time

Operation ival-sub, time spent: 57.0ms, 29.0% of total-time

Operation const, time spent: 11.0ms, 6.0% of total-time

Operation backward-pass, time spent: 4.0ms, 2.0% of total-time

Bogosity

preprocess145.0ms (13.1%)

Algorithm

1×	egg-herbie

Rules

287×	`fma-define`
251×	`fma-neg`
100×	`unsub-neg`
62×	`associate-r`
55×	`distribute-lft-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
-	-	`#s(literal 1/2 binary64)`
-	-	`(*.f64 x x)`
-	-	`(-.f64 (*.f64 x x) y)`
-	-	`y`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	204
1	59	188
2	145	188
3	449	188
4	891	188
5	1349	188
6	1436	188
7	1456	188

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) y))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (neg.f64 y)))
(neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) y)))
(neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (neg.f64 y))))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y y) x))

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

Symmetry

(abs x)

Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-mult, time spent: 7.0ms, 62.0% of total-time

Operation ival-sub, time spent: 3.0ms, 27.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize33.0ms (3%)

Compiler: Compiled 21 to 8 computations (61.9% saved)
Precisions: Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-sub, time spent: 5.0ms, 53.0% of total-time
Operation ival-mult, time spent: 4.0ms, 42.0% of total-time
Operation const, time spent: 0.0ms, 0.0% 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

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	15	28
2	20	28
3	22	28
4	23	28

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess22.0ms (2%)

Remove: (abs x)
Compiler: Compiled 72 to 48 computations (33.3% saved)

analyze0.0ms (0%)

sample902.0ms (81.5%)

preprocess145.0ms (13.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize33.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify2.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess22.0ms (2%)

Profiling