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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample942.0ms (56.3%)

Memory

14.2MiB live, 673.5MiB allocated

Samples

726.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-mult: 115.0ms (48.8% of total)

ival-log: 111.0ms (47.1% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain52.0ms (3.1%)

Memory

-4.5MiB live, 87.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(log.f64 x)`
-	-	`(*.f64 x (log.f64 x))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 13.0ms (73.4% of total)

ival-mult: 4.0ms (22.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess12.0ms (0.7%)

Memory

27.0MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	12	11
2	17	11
3	22	11
4	27	11
0	3	4
0	5	4
1	6	4
0	6	4

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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(*.f64 x (log.f64 x))

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 x)
cost-diff	0	(*.f64 x (log.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	7
0	5	7
1	6	7
0	6	7

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)

localize18.0ms (1.1%)

Memory

-18.1MiB live, 28.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(log.f64 x)
accuracy	0.2578125	(*.f64 x (log.f64 x))

Samples

11.0ms

256×

valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-log: 3.0ms (49.3% of total)

ival-mult: 2.0ms (32.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series91.0ms (5.4%)

Memory

23.5MiB live, 146.0MiB 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:

Time	Variable		Point	Expression
46.0ms	x	@	0	((* x (log x)) (log x))
37.0ms	x	@	-inf	((* x (log x)) (log x))
7.0ms	x	@	inf	((* x (log x)) (log x))

simplify423.0ms (25.3%)

Memory

-112.7MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	40	28
2	78	28
3	139	28
4	188	28
5	283	28
6	400	26
7	436	26
0	436	26

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)))

rewrite56.0ms (3.4%)

Memory

-12.1MiB live, 104.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
0	5	6
1	8	6
2	13	6
3	44	6
0	230	6

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

2 → 14

Calls

Call 1

Inputs
(*.f64 x (log.f64 x))
(log.f64 x)

Outputs
(.f64 (.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 x))
(.f64 (/.f64 x #s(literal 2 binary64)) (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 x #s(literal 2 binary64)) (log.f64 x) (log.f64 (sqrt.f64 (pow.f64 x x))))
(fma.f64 (log.f64 x) (/.f64 x #s(literal 2 binary64)) (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)

eval4.0ms (0.2%)

Memory: 11.9MiB live, 11.9MiB allocated
Compiler: Compiled 216 to 48 computations (77.8% saved)

prune2.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	1	19

Accuracy

99.6%

Counts

19 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(*.f64 x (log.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify36.0ms (2.1%)

Memory

-17.3MiB live, 29.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4

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 4 to 3 computations (25% saved)

preprocess35.0ms (2.1%)

Memory: -3.2MiB live, 43.0MiB allocated
Compiler: Compiled 16 to 12 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample942.0ms (56.3%)

explain52.0ms (3.1%)

preprocess12.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.2%)

localize18.0ms (1.1%)

series91.0ms (5.4%)

simplify423.0ms (25.3%)

rewrite56.0ms (3.4%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

simplify36.0ms (2.1%)

soundness0.0ms (0%)

preprocess35.0ms (2.1%)

end0.0ms (0%)

Profiling