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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample830.0ms (54.4%)

Memory

9.5MiB live, 560.7MiB allocated; 697ms collecting garbage

Samples

532.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult!: 91.0ms (81.6% of total)

ival-sub!: 19.0ms (17% of total)

adjust: 1.0ms (0.9% of total)

Bogosity

preprocess209.0ms (13.7%)

Memory

-0.4MiB live, 45.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	58	42
2	189	42
3	432	42
4	889	42
5	2750	42
6	9719	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series68.0ms (4.4%)

Memory

35.4MiB live, 35.4MiB allocated; 0ms collecting garbage

Counts

6 → 15

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0
1.0ms	y	-inf
1.0ms	y	0

rewrite120.0ms (7.9%)

Memory

-4.4MiB live, 41.4MiB allocated; 8ms collecting garbage

Counts

6 → 15

Calls

Call 1

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

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

eval5.0ms (0.3%)

Memory: 3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 302 to 91 computations (69.9% saved)

prune3.0ms (0.2%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Accuracy

100.0%

Counts

25 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	49.4%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 25 to 21 computations (16% saved)

series70.0ms (4.6%)

Memory

-41.5MiB live, 22.0MiB allocated; 21ms collecting garbage

Counts

9 → 15

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
2.0ms	y	-inf
1.0ms	y	inf
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	y	0

rewrite162.0ms (10.7%)

Memory

29.9MiB live, 76.1MiB allocated; 6ms collecting garbage

Counts

9 → 22

Calls

Call 1

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

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

eval5.0ms (0.4%)

Memory: 5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 345 to 98 computations (71.6% saved)

prune3.0ms (0.2%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	27	3	30

Accuracy

100.0%

Counts

30 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
✓	49.4%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 25 to 21 computations (16% saved)

regimes26.0ms (1.7%)

Memory

-0.2MiB live, 45.6MiB allocated; 5ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 1

3 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

15 calls:

4.0ms	y
2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	x
2.0ms	(-.f64 (*.f64 x x) y)
2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Results

Accuracy	Segments	Branch
49.4%	1	`(*.f64 x x)`
49.4%	1	`(-.f64 (*.f64 x x) y)`
49.4%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
49.4%	1	`x`
49.4%	1	`y`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(-.f64 (*.f64 x x) y)`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(-.f64 (*.f64 x x) y)`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 76 to 67 computations (11.8% saved)

derivations1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 25 to 16 computations (36% saved)

preprocess22.0ms (1.4%)

Memory: -5.1MiB live, 41.1MiB allocated; 3ms collecting garbage
Remove: (abs x)
Compiler: Compiled 82 to 64 computations (22% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample830.0ms (54.4%)

preprocess209.0ms (13.7%)

series68.0ms (4.4%)

rewrite120.0ms (7.9%)

eval5.0ms (0.3%)

prune3.0ms (0.2%)

series70.0ms (4.6%)

rewrite162.0ms (10.7%)

eval5.0ms (0.4%)

prune3.0ms (0.2%)

regimes26.0ms (1.7%)

derivations1.0ms (0%)

preprocess22.0ms (1.4%)

end0.0ms (0%)

Profiling