Data.Random.Distribution.Normal:doubleStdNormalZ from random-fu-0.2.6.2

Time bar (total: 2.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample1.4s (50.1%)

Memory
-35.4MiB live, 927.3MiB allocated; 410ms collecting garbage
Samples
999.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-add: 262.0ms (73.1% of total)
ival-sub: 80.0ms (22.3% of total)
exact: 9.0ms (2.5% of total)
ival-assert: 4.0ms (1.1% of total)
adjust: 3.0ms (0.8% of total)
Bogosity

explain82.0ms (2.9%)

Memory
16.0MiB live, 118.7MiB allocated; 12ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x x)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (+.f64 x x) #s(literal 1 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
31.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 8.0ms (58.5% of total)
ival-add: 4.0ms (29.3% of total)
ival-true: 1.0ms (7.3% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess541.0ms (19.1%)

Memory
-5.9MiB live, 224.8MiB allocated; 73ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
11816
23216
36316
418616
587915
045
065
1125
2185
3345
41075
55955
655375
080404
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Compiler

Compiled 5 to 4 computations (20% saved)

series4.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
4 → 7
Calls
Call 1
Inputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(+.f64 x x)
x
#s(literal 1 binary64)
Outputs
#s(approx (- (+ x x) 1) #s(hole binary64 -1))
#s(approx (- (+ x x) 1) #s(hole binary64 (- (* 2 x) 1)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (+ x x) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (+ x x) 1) #s(hole binary64 (* x (- 2 (/ 1 x)))))
#s(approx (- (+ x x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 2)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (+ x x) 1) (+ x x) x 1)
1.0ms
x
@-inf
((- (+ x x) 1) (+ x x) x 1)
1.0ms
x
@0
((- (+ x x) 1) (+ x x) x 1)

rewrite120.0ms (4.3%)

Memory
-12.5MiB live, 125.6MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02375
02474
010074
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
11 → 18
Calls
Call 1
Inputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(+.f64 x x)
x
#s(literal 1 binary64)
#s(approx (- (+ x x) 1) #s(hole binary64 -1))
#s(approx (- (+ x x) 1) #s(hole binary64 (- (* 2 x) 1)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (+ x x) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (+ x x) 1) #s(hole binary64 (* x (- 2 (/ 1 x)))))
#s(approx (- (+ x x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 2)))))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
x
#s(literal 1 binary64)
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(approx (- (+ x x) 1) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (+ x x) 1) (*.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (- (+ x x) 1) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x)))

eval4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 186 to 54 computations (71% saved)

prune3.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New18220
Fresh000
Picked011
Done000
Total18321
Accuracy
100.0%
Counts
21 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
47.1%
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
54.3%
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Compiler

Compiled 21 to 17 computations (19% saved)

series4.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
6 → 7
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
#s(approx (- (+ x x) 1) #s(hole binary64 -1))
#s(approx (- (+ x x) 1) #s(hole binary64 (- (* 2 x) 1)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (+ x x) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (+ x x) 1) #s(hole binary64 (* x (- 2 (/ 1 x)))))
#s(approx (- (+ x x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 2)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (+ x x) 1) -1 (- (+ x x) 1) (* 2 x) 2 x)
1.0ms
x
@inf
((- (+ x x) 1) -1 (- (+ x x) 1) (* 2 x) 2 x)
0.0ms
x
@0
((- (+ x x) 1) -1 (- (+ x x) 1) (* 2 x) 2 x)

rewrite160.0ms (5.7%)

Memory
-8.0MiB live, 37.6MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02387
02386
09786
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
13 → 17
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (- (+ x x) 1) #s(hole binary64 -1))
#s(approx (- (+ x x) 1) #s(hole binary64 (- (* 2 x) 1)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (+ x x) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (+ x x) 1) #s(hole binary64 (* x (- 2 (/ 1 x)))))
#s(approx (- (+ x x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 2)))))
Outputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
#s(literal 2 binary64)
x
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(approx (- (+ x x) 1) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (+ x x) 1) (*.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (- (+ x x) 1) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x)))

eval3.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 171 to 42 computations (75.4% saved)

prune3.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New14115
Fresh000
Picked112
Done011
Total15318
Accuracy
100.0%
Counts
18 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
47.1%
#s(approx (- (+ x x) 1) (+.f64 x x))
54.3%
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Compiler

Compiled 21 to 16 computations (23.8% saved)

series2.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Counts
3 → 7
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) (+.f64 x x))
(+.f64 x x)
x
Outputs
#s(approx (- (+ x x) 1) #s(hole binary64 -1))
#s(approx (- (+ x x) 1) #s(hole binary64 (- (* 2 x) 1)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (+ x x) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (+ x x) 1) #s(hole binary64 (* x (- 2 (/ 1 x)))))
#s(approx (- (+ x x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 2)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((- (+ x x) 1) (+ x x) x)
1.0ms
x
@inf
((- (+ x x) 1) (+ x x) x)
0.0ms
x
@0
((- (+ x x) 1) (+ x x) x)

rewrite58.0ms (2%)

Memory
-10.9MiB live, 35.6MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02378
02477
09977
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
10 → 14
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) (+.f64 x x))
(+.f64 x x)
x
#s(approx (- (+ x x) 1) #s(hole binary64 -1))
#s(approx (- (+ x x) 1) #s(hole binary64 (- (* 2 x) 1)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (+ x x) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (+ x x) 1) #s(hole binary64 (* x (- 2 (/ 1 x)))))
#s(approx (- (+ x x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 2)))))
Outputs
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
x
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(approx (- (+ x x) 1) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (+ x x) 1) (*.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (- (+ x x) 1) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x)))

eval3.0ms (0.1%)

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

Compiled 175 to 42 computations (76% saved)

prune4.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New15015
Fresh000
Picked011
Done022
Total15318
Accuracy
100.0%
Counts
18 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
47.1%
#s(approx (- (+ x x) 1) (+.f64 x x))
54.3%
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Compiler

Compiled 51 to 29 computations (43.1% saved)

regimes10.0ms (0.3%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(approx (- (+ x x) 1) (+.f64 x x))
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Calls

3 calls:

3.0ms
x
3.0ms
(+.f64 x x)
3.0ms
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1(+.f64 x x)
100.0%1(-.f64 (+.f64 x x) #s(literal 1 binary64))
100.0%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes164.0ms (5.8%)

Memory
-43.2MiB live, 25.7MiB allocated; 179ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(approx (- (+ x x) 1) (+.f64 x x))
#s(approx (- (+ x x) 1) (*.f64 #s(literal 2 binary64) x))
Outputs
#s(approx (- (+ x x) 1) (+.f64 x x))
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
#s(approx (- (+ x x) 1) (+.f64 x x))
Calls

3 calls:

158.0ms
(-.f64 (+.f64 x x) #s(literal 1 binary64))
3.0ms
(+.f64 x x)
3.0ms
x
Results
AccuracySegmentsBranch
97.9%3(+.f64 x x)
97.9%3(-.f64 (+.f64 x x) #s(literal 1 binary64))
97.9%3x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.2%)

Memory
10.5MiB live, 10.4MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Outputs
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Calls

3 calls:

2.0ms
x
2.0ms
(+.f64 x x)
2.0ms
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
54.3%1(+.f64 x x)
54.3%1(-.f64 (+.f64 x x) #s(literal 1 binary64))
54.3%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch59.0ms (2.1%)

Memory
4.5MiB live, 57.1MiB allocated; 25ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
2.768719302070504e-8
61.40748523755851
39.0ms
-8.709227705261622
-2.7659684103606206e-10
Samples
37.0ms304×0valid
Compiler

Compiled 312 to 274 computations (12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 24.0ms (85.4% of total)
ival-sub: 2.0ms (7.1% of total)
exact: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify58.0ms (2%)

Memory
9.6MiB live, 56.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01537
12637
23537
36337
415437
5114937
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1/2 binary64)) #s(approx (- (+ x x) 1) (+.f64 x x)) (if (<=.f64 x #s(literal 1/2 binary64)) #s(approx (- (+ x x) 1) #s(literal -1 binary64)) #s(approx (- (+ x x) 1) (+.f64 x x))))
#s(approx (- (+ x x) 1) #s(literal -1 binary64))
Outputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1/2 binary64)) #s(approx (- (+ x x) 1) (+.f64 x x)) (if (<=.f64 x #s(literal 1/2 binary64)) #s(approx (- (+ x x) 1) #s(literal -1 binary64)) #s(approx (- (+ x x) 1) (+.f64 x x))))
(if (or (<=.f64 x #s(literal -1/2 binary64)) (not (<=.f64 x #s(literal 1/2 binary64)))) #s(approx (- (+ x x) 1) (+.f64 x x)) #s(approx (- (+ x x) 1) #s(literal -1 binary64)))
#s(approx (- (+ x x) 1) #s(literal -1 binary64))

derivations97.0ms (3.4%)

Memory
-37.8MiB live, 8.3MiB allocated; 10ms collecting garbage
Stop Event
done
Compiler

Compiled 37 to 17 computations (54.1% saved)

preprocess29.0ms (1%)

Memory
35.2MiB live, 35.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 84 to 42 computations (50% saved)

end0.0ms (0%)

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

Profiling

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