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

Time bar (total: 1.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample640.0ms (52.3%)

Memory
52.3MiB live, 790.2MiB allocated
Samples
474.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-log: 167.0ms (66.8% of total)
ival-mult: 75.0ms (30% of total)
ival-true: 5.0ms (2% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain75.0ms (6.1%)

Memory
4.6MiB live, 82.6MiB 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
55.0ms512×0valid
Compiler

Compiled 31 to 16 computations (48.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 39.0ms (84.7% of total)
ival-log: 7.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (1.3%)

Memory
-10.8MiB live, 26.7MiB allocated
Algorithm
1×egg-herbie
Rules
32×distribute-lft-neg-in
18×associate-*r*
18×cancel-sign-sub-inv
16×unsub-neg
16×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
11811
23811
310411
414411
515511
615711
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))
Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(*.f64 x (log.f64 x))
Compiler

Compiled 5 to 3 computations (40% saved)

simplify3.0ms (0.3%)

Memory
5.1MiB live, 5.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 x)
cost-diff0
(*.f64 x (log.f64 x))
Rules
4×lower-*.f32
2×*-commutative
2×lower-*.f64
2×lift-*.f64
2×lift-log.f64
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))
x
(log.f64 x)

localize308.0ms (25.2%)

Memory
-14.3MiB live, 27.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 x)
accuracy0.296875
(*.f64 x (log.f64 x))
Samples
303.0ms256×0valid
Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 298.0ms
ival-mult: 295.0ms (99% of total)
ival-log: 3.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (4.9%)

Memory
11.2MiB live, 125.6MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 x (log.f64 x))>
#<alt (log.f64 x)>
Outputs
#<alt (* x (log x))>
#<alt (* x (log x))>
#<alt (* x (log x))>
#<alt (* x (log x))>
#<alt (* -1 (* x (log (/ 1 x))))>
#<alt (* -1 (* x (log (/ 1 x))))>
#<alt (* -1 (* x (log (/ 1 x))))>
#<alt (* -1 (* x (log (/ 1 x))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
Calls

6 calls:

TimeVariablePointExpression
35.0ms
x
@0
(* x (log x))
18.0ms
x
@-inf
(* x (log x))
7.0ms
x
@inf
(* x (log x))
0.0ms
x
@0
(log x)
0.0ms
x
@inf
(log x)

simplify45.0ms (3.7%)

Memory
-8.0MiB live, 32.1MiB allocated
Algorithm
1×egg-herbie
Rules
320×lower-fma.f64
320×lower-fma.f32
224×lower-*.f64
224×lower-*.f32
104×unsub-neg
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
016120
137112
263112
3104112
4167112
5298112
6553104
7612104
8616104
9620104
0620104
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
(* x (log x))
(* x (log x))
(* x (log x))
(* x (log x))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
Outputs
(* x (log x))
(*.f64 x (log.f64 x))
(* x (log x))
(*.f64 x (log.f64 x))
(* x (log x))
(*.f64 x (log.f64 x))
(* x (log x))
(*.f64 x (log.f64 x))
(* -1 (* x (log (/ 1 x))))
(*.f64 x (log.f64 x))
(* -1 (* x (log (/ 1 x))))
(*.f64 x (log.f64 x))
(* -1 (* x (log (/ 1 x))))
(*.f64 x (log.f64 x))
(* -1 (* x (log (/ 1 x))))
(*.f64 x (log.f64 x))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))

rewrite46.0ms (3.8%)

Memory
-11.8MiB live, 27.7MiB allocated
Rules
4×lower-*.f32
2×lower-*.f64
2×*-commutative
2×lift-*.f64
2×lift-log.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036
056
166
066
Stop Event
1×iter limit
1×saturated
1×iter limit
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
(log.f64 x)
Outputs
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(log.f64 x)

eval2.0ms (0.2%)

Memory
5.5MiB live, 5.5MiB allocated
Compiler

Compiled 165 to 10 computations (93.9% saved)

prune1.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done000
Total27128
Accuracy
99.5%
Counts
28 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(*.f64 x (log.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0.4%)

Memory
11.8MiB live, 11.8MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
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))

soundness0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Stop Event
1×done
Compiler

Compiled 5 to 3 computations (40% saved)

preprocess20.0ms (1.6%)

Memory
-17.4MiB live, 56.3MiB allocated
Compiler

Compiled 20 to 12 computations (40% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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