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

Time bar (total: 857.0ms)

analyze0.0ms (0%)

Memory
0.8MiB 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)

sample526.0ms (61.3%)

Memory
0.6MiB live, 1 121.6MiB allocated
Samples
341.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-log: 116.0ms (63.7% of total)
ival-mult: 58.0ms (31.9% of total)
ival-true: 5.0ms (2.7% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

preprocess16.0ms (1.9%)

Memory
-2.3MiB live, 37.0MiB 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))

explain44.0ms (5.1%)

Memory
25.8MiB live, 108.1MiB 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 28 to 16 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 7.0ms (56.7% of total)
ival-mult: 5.0ms (40.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(*.f64 x (log.f64 x))
Compiler

Compiled 5 to 3 computations (40% saved)

simplify20.0ms (2.4%)

Memory
-32.1MiB live, 6.9MiB 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)

localize15.0ms (1.7%)

Memory
25.5MiB live, 25.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 x)
✓accuracy99.6%
(*.f64 x (log.f64 x))
Samples
10.0ms256×0valid
Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log: 3.0ms (58.3% of total)
ival-mult: 2.0ms (38.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series119.0ms (13.8%)

Memory
-11.5MiB live, 105.3MiB 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
73.0ms
x
@0
(* x (log x))
38.0ms
x
@-inf
(* x (log x))
7.0ms
x
@inf
(* x (log x))
0.0ms
x
@0
(log x)
0.0ms
x
@inf
(log x)

rewrite24.0ms (2.7%)

Memory
-8.1MiB live, 30.3MiB allocated
Algorithm
1×batch-egg-rewrite
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)

simplify38.0ms (4.5%)

Memory
7.5MiB live, 46.9MiB 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)))

eval2.0ms (0.3%)

Memory
4.5MiB live, 4.5MiB allocated
Compiler

Compiled 141 to 10 computations (92.9% saved)

prune1.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done000
Total27128
Accuracy
99.6%
Counts
28 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(*.f64 x (log.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0.6%)

Memory
8.8MiB live, 8.8MiB 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
0.6MiB live, 0.6MiB allocated
Stop Event
1×done
Compiler

Compiled 5 to 3 computations (40% saved)

preprocess47.0ms (5.4%)

Memory
-3.9MiB live, 38.8MiB allocated
Compiler

Compiled 20 to 12 computations (40% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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