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

Time bar (total: 2.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze33.0ms (1.5%)

Memory
-5.4MiB live, 41.9MiB allocated; 7ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 7 computations (22.2% saved)

sample619.0ms (27.8%)

Memory
7.4MiB live, 907.8MiB allocated; 167ms collecting garbage
Samples
358.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-div!: 101.0ms (62.4% of total)
ival-add!: 59.0ms (36.4% of total)
adjust: 1.0ms (0.6% of total)
Bogosity

preprocess33.0ms (1.5%)

Memory
-10.9MiB live, 34.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01748
17342
231342
3174842
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 14 to 10 computations (28.6% saved)

series9.0ms (0.4%)

Memory
25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049147
Stop Event
iter-limit
Counts
5 → 13
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx x x)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) y))
#s(approx (+ y y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
1.0ms
y
inf
1.0ms
x
-inf
1.0ms
y
-inf
1.0ms
x
inf
1.0ms
y
0

rewrite27.0ms (1.2%)

Memory
-18.2MiB live, 24.0MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
05015
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
5 → 19
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)
Outputs
(*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) (+.f64 y x)))
(/.f64 (neg.f64 (+.f64 y x)) (neg.f64 (+.f64 y y)))
(/.f64 (+.f64 y x) (+.f64 y y))
(+.f64 (/.f64 x (+.f64 y y)) (/.f64 y (+.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))
(-.f64 x (neg.f64 y))
(+.f64 y x)
(+.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) y)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y y)) y)
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(-.f64 y (neg.f64 y))
(+.f64 y y)

eval3.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 352 to 105 computations (70.2% saved)

prune2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New25328
Fresh000
Picked011
Done000
Total25429
Accuracy
100.0%
Counts
29 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
100.0%
#s(approx (/ (+ x y) (+ y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
44.5%
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
56.2%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 44 to 31 computations (29.5% saved)

series10.0ms (0.4%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031104
Stop Event
iter-limit
Counts
9 → 9
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (* 1/2 (/ x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (/ (+ x y) (+ y y)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ 1/2 (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) y))
#s(approx y y)
Calls

6 calls:

TimeVariablePoint
2.0ms
y
-inf
2.0ms
y
inf
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite28.0ms (1.3%)

Memory
-8.2MiB live, 32.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
01555
08953
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
9 → 22
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))

eval3.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 559 to 108 computations (80.7% saved)

prune2.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New31132
Fresh000
Picked123
Done101
Total33336
Accuracy
100.0%
Counts
36 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
44.5%
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
56.2%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 36 to 25 computations (30.6% saved)

series5.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033105
Stop Event
iter-limit
Counts
6 → 9
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) y))
#s(approx y y)
Calls

6 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
y
-inf
1.0ms
y
inf
1.0ms
x
0

rewrite1.4s (61.4%)

Memory
-171.7MiB live, 173.1MiB allocated; 1.9s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
01226
08526
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
6 → 17
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)

eval2.0ms (0.1%)

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

Compiled 355 to 82 computations (76.9% saved)

prune1.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New19019
Fresh000
Picked011
Done022
Total19322
Accuracy
100.0%
Counts
22 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
44.5%
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
56.2%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes41.0ms (1.8%)

Memory
-30.9MiB live, 30.1MiB allocated; 21ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
2 → 3
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Call 2
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
Outputs
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
Call 3
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 x y) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

9 calls:

4.0ms
y
2.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
1.0ms
x
Results
AccuracySegmentsBranch
56.2%1x
56.2%1y
56.2%1(/.f64 (+.f64 x y) (+.f64 y y))
97.5%3(/.f64 (+.f64 x y) (+.f64 y y))
76.4%3x
78.0%3y
100.0%1(/.f64 (+.f64 x y) (+.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 85 to 44 computations (48.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5000000000425083
151083.59586152114
0.0ms
-1.2426852147572796
0.49267203384915115
Compiler

Compiled 10 to 10 computations (0% saved)

derivations3.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 78 to 21 computations (73.1% saved)

preprocess38.0ms (1.7%)

Memory
-14.0MiB live, 29.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 85 to 26 computations (69.4% saved)

end0.0ms (0%)

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

Profiling

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