Metrics for Numeric.SpecFunctions:logBeta from math-functions-0.1.5.2, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.8%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	49.8%	0.4%	0%	49.8%	0%	3
0%	0%	49.8%	0.4%	0%	49.8%	0%	4
0%	0%	49.8%	0.4%	0%	49.8%	0%	5
0%	0%	49.8%	0.4%	0%	49.8%	0%	6
0%	0%	49.8%	0.4%	0%	49.8%	0%	7
100%	24.9%	0%	0.4%	0%	74.7%	0%	8

Compiler

Compiled 23 to 22 computations (4.3% saved)

sample36.0ms (2.1%)

Memory

-3.4MiB live, 13.2MiB allocated

Samples

24.0ms

260×

valid

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-log: 5.0ms (31.5% of total)

ival-add: 5.0ms (31.5% of total)

ival-mult: 5.0ms (31.5% of total)

ival-sub: 1.0ms (6.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

Bogosity

explain1.5s (88.8%)

Memory

11.5MiB live, 1 195.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`a`
-	-	`(log.f64 y)`
-	-	`(+.f64 (*.f64 x (log.f64 y)) z)`
-	-	`t`
-	-	`(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)`
-	-	`c`
-	-	`(*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))`
-	-	`y`
-	-	`i`
-	-	`(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)`
-	-	`#s(literal 1/2 binary64)`
-	-	`(log.f64 c)`
-	-	`(*.f64 x (log.f64 y))`
-	-	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))`
-	-	`z`
-	-	`(*.f64 y i)`
-	-	`(-.f64 b #s(literal 1/2 binary64))`
-	-	`(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c)))`
-	-	`b`
-	-	`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

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Total Time

13.194091796875

Average Time

0.05153942108154297

Samples

340.0ms

3 072×

valid

Compiler

Compiled 3 552 to 984 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-log: 58.0ms (30.7% of total)

ival-add: 58.0ms (30.7% of total)

ival-mult: 54.0ms (28.6% of total)

ival-sub: 13.0ms (6.9% of total)

ival-true: 2.0ms (1.1% of total)

exact: 2.0ms (1.1% of total)

adjust: 1.0ms (0.5% of total)

ival-assert: 1.0ms (0.5% of total)

preprocess118.0ms (6.8%)

Memory

0.1MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	944
1	721	936
2	2743	930
3	5497	929
4	7156	929
0	20	21
0	31	21
1	50	21
2	113	21
3	437	21
4	1489	21
5	1794	21
6	1794	21
7	1794	21
8	1794	21
9	3595	21
10	3595	21
11	3797	21
12	3797	21
13	3917	21
0	3917	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))

Outputs

(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))

(fma.f64 (log.f64 y) x (+.f64 (fma.f64 i y (+.f64 (fma.f64 (log.f64 c) (-.f64 b #s(literal 1/2 binary64)) a) t)) z))

Symmetry

(sort z t a)

Compiler

Compiled 21 to 20 computations (4.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 8 computations (-∞% saved)

prune1.0ms (0.1%)

Memory

-7.0MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))

Compiler

Compiled 42 to 40 computations (4.8% saved)

simplify23.0ms (1.3%)

Memory

1.5MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	21
1	30	21
2	35	21
3	37	21
4	38	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))

Outputs

(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b #s(literal 1/2 binary64)) (log.f64 c))) (*.f64 y i))

(+.f64 (*.f64 i y) (+.f64 (*.f64 (log.f64 c) (-.f64 b #s(literal 1/2 binary64))) (+.f64 a (+.f64 t (+.f64 z (*.f64 (log.f64 y) x))))))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 21 to 20 computations (4.8% saved)

preprocess3.0ms (0.2%)

Memory: 2.0MiB live, 2.0MiB allocated
Remove: (sort z t a)
Compiler: Compiled 168 to 160 computations (4.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.8%)

sample36.0ms (2.1%)

explain1.5s (88.8%)

preprocess118.0ms (6.8%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify23.0ms (1.3%)

soundness0.0ms (0%)

preprocess3.0ms (0.2%)

end0.0ms (0%)

Profiling