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

Time bar (total: 1.4s)

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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)

sample1.0s (73.5%)

Memory
20.8MiB live, 909.4MiB allocated
Samples
748.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 354.0ms
ival-log: 209.0ms (59.1% of total)
ival-mult: 137.0ms (38.7% of total)
ival-true: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess15.0ms (1.1%)

Memory
25.7MiB live, 25.7MiB allocated
Algorithm
2×egg-herbie
Rules
52×associate-*r*
44×distribute-lft-neg-in
30×associate-*l*
28×unsub-neg
28×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
12115
24115
311715
420515
526415
627015
727215
827515
927715
034
144
044
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* x (log x))
Outputs
(* x (log x))
(*.f64 x (log.f64 x))
Call 2
Inputs
(* x (log x))
(* (neg x) (log (neg x)))
(neg (* (neg x) (log (neg x))))
Outputs
(* x (log x))
(* (neg x) (log (neg x)))
(neg (* (neg x) (log (neg x))))
(* x (log (neg x)))

explain52.0ms (3.8%)

Memory
-21.3MiB live, 55.4MiB 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
20.0ms512×0valid
Compiler

Compiled 28 to 16 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 6.0ms (60.4% of total)
ival-mult: 3.0ms (30.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB 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 (0.2%)

Memory
7.9MiB live, 7.9MiB 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×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
2×log-lowering-log.f64
2×log-lowering-log.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037
147
047
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* x (log x))
x
(log x)
Outputs
(* x (log x))
(*.f64 x (log.f64 x))
x
(log x)
(log.f64 x)

localize14.0ms (1%)

Memory
14.6MiB live, 14.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 x)
✓accuracy99.5%
(*.f64 x (log.f64 x))
Samples
9.0ms256×0valid
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 (62.7% of total)
ival-mult: 2.0ms (41.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series106.0ms (7.8%)

Memory
-51.0MiB live, 57.2MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (* x (log x))>
#<alt (log 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
74.0ms
x
@0
(* x (log x))
26.0ms
x
@-inf
(* x (log x))
6.0ms
x
@inf
(* x (log x))
0.0ms
x
@0
(log x)
0.0ms
x
@-inf
(log x)

rewrite15.0ms (1.1%)

Memory
21.5MiB live, 21.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
2×log-lowering-log.f64
2×log-lowering-log.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036
146
046
Stop Event
1×iter limit
1×saturated
Counts
2 → 3
Calls
Call 1
Inputs
(* x (log x))
(log x)
Outputs
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(log.f64 x)

simplify83.0ms (6.1%)

Memory
-9.3MiB live, 28.5MiB allocated
Algorithm
1×egg-herbie
Rules
320×accelerator-lowering-fma.f32
320×accelerator-lowering-fma.f64
224×*-lowering-*.f32
224×*-lowering-*.f64
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))
(fma.f64 x (log.f64 x) #s(literal 0 binary64))
(* x (log x))
(fma.f64 x (log.f64 x) #s(literal 0 binary64))
(* x (log x))
(fma.f64 x (log.f64 x) #s(literal 0 binary64))
(* x (log x))
(fma.f64 x (log.f64 x) #s(literal 0 binary64))
(* -1 (* x (log (/ 1 x))))
(fma.f64 x (log.f64 x) #s(literal 0 binary64))
(* -1 (* x (log (/ 1 x))))
(fma.f64 x (log.f64 x) #s(literal 0 binary64))
(* -1 (* x (log (/ 1 x))))
(fma.f64 x (log.f64 x) #s(literal 0 binary64))
(* -1 (* x (log (/ 1 x))))
(fma.f64 x (log.f64 x) #s(literal 0 binary64))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(fma.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(fma.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(fma.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(fma.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))
(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 (-.f64 #s(literal 0 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))

eval2.0ms (0.2%)

Memory
5.3MiB live, 5.4MiB allocated
Compiler

Compiled 161 to 13 computations (91.9% saved)

prune1.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB 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)

simplify6.0ms (0.5%)

Memory
11.9MiB live, 11.9MiB 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)

preprocess62.0ms (4.5%)

Memory
0.6MiB live, 38.9MiB allocated
Compiler

Compiled 20 to 12 computations (40% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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