Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2

Time bar (total: 1.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%50%0%0%0%50%0%2
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample613.0ms (61.3%)

Memory
0.5MiB live, 841.4MiB allocated
Samples
419.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-log: 131.0ms (63% of total)
ival-mult: 67.0ms (32.2% of total)
ival-true: 7.0ms (3.4% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain47.0ms (4.7%)

Memory
12.7MiB live, 89.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(log.f64 x)
00-0-(*.f64 x (log.f64 x))
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
23.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log: 7.0ms (61.5% of total)
ival-mult: 4.0ms (35.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess27.0ms (2.7%)

Memory
-37.3MiB live, 45.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
11811
23811
310911
415611
516711
616911
034
054
164
064
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
Outputs
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
Compiler

Compiled 4 to 3 computations (25% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(*.f64 x (log.f64 x))
Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.4%)

Memory
7.5MiB live, 7.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 x)
cost-diff0
(*.f64 x (log.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037
057
167
067
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
x
(log.f64 x)
Outputs
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
x
(log.f64 x)

localize14.0ms (1.4%)

Memory
19.3MiB live, 19.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 x)
accuracy0.19140625
(*.f64 x (log.f64 x))
Samples
10.0ms256×0valid
Compiler

Compiled 16 to 8 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log: 3.0ms (55.2% of total)
ival-mult: 2.0ms (36.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series90.0ms (9%)

Memory
-9.9MiB live, 64.0MiB allocated
Counts
2 → 6
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
(log.f64 x)
Outputs
(* x (log x))
(log x)
(* -1 (* x (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
Calls

3 calls:

TimeVariablePointExpression
51.0ms
x
@0
((* x (log x)) (log x))
22.0ms
x
@inf
((* x (log x)) (log x))
17.0ms
x
@-inf
((* x (log x)) (log x))

simplify71.0ms (7.1%)

Memory
-5.7MiB live, 29.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01630
14028
27928
316328
424328
539628
652426
754926
855326
955726
055726
Stop Event
1×iter limit
1×saturated
Counts
6 → 6
Calls
Call 1
Inputs
(* x (log x))
(log x)
(* -1 (* x (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
Outputs
(* x (log x))
(*.f64 (log.f64 x) x)
(log x)
(log.f64 x)
(* -1 (* x (log (/ 1 x))))
(*.f64 (log.f64 x) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))

rewrite70.0ms (7%)

Memory
8.8MiB live, 51.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036
056
186
2136
3506
03036
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 15
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
(log.f64 x)
Outputs
(*.f64 (*.f64 x #s(literal 1 binary64)) (log.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 x x))))
(*.f64 (log.f64 x) (log.f64 (exp.f64 x)))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x)))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x))))) (-.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x)))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 x) (log.f64 (sqrt.f64 (pow.f64 x x))))
(fma.f64 (*.f64 (log.f64 x) x) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (pow.f64 x x))))
(fma.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) x) (log.f64 (sqrt.f64 (pow.f64 x x))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 x x)))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x))))
(log.f64 (pow.f64 x x))
(log.f64 x)

eval2.0ms (0.2%)

Memory
4.0MiB live, 4.0MiB allocated
Compiler

Compiled 225 to 51 computations (77.3% saved)

prune1.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New19019
Fresh000
Picked011
Done000
Total19120
Accuracy
99.7%
Counts
20 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(*.f64 x (log.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify38.0ms (3.8%)

Memory
14.5MiB live, 51.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
Outputs
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)

soundness0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Stop Event
1×done
Compiler

Compiled 4 to 3 computations (25% saved)

preprocess22.0ms (2.2%)

Memory
0.4MiB live, 38.6MiB allocated
Compiler

Compiled 16 to 12 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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