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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze180.0ms (9.1%)

Memory

1.2MiB live, 56.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
50%	49.9%	49.9%	0.1%	0%	0%	0%	7
50%	49.9%	49.9%	0.1%	0%	0%	0%	8
50%	49.9%	49.9%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 23 to 20 computations (13% saved)

sample43.0ms (2.2%)

Memory

5.8MiB live, 14.6MiB allocated

Samples

34.0ms

260×

valid

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

const: 15.0ms (53.8% of total)

ival-mult: 6.0ms (21.5% of total)

ival-add: 5.0ms (17.9% of total)

ival-div: 1.0ms (3.6% of total)

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

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

Bogosity

explain1.7s (84.6%)

Memory

2.0MiB live, 1 307.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
87	-	-	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))`
15	-	-	`(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)))`
0	-	-	`(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))`
0	-	-	`#s(literal 104698244219447/31250000000000 binary64)`
0	-	-	`(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))`
0	-	-	`#s(literal 692910599291889/10000000000000000 binary64)`
0	-	-	`(+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))`
0	-	-	`y`
0	-	-	`(+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))`
0	-	-	`#s(literal 6012459259764103/1000000000000000 binary64)`
0	-	-	`#s(literal 307332350656623/625000000000000 binary64)`
0	-	-	`(+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))`
0	-	-	`(.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z)`
0	-	-	`z`
0	-	-	`#s(literal 11167812716741/40000000000000 binary64)`
0	-	-	`(*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z)`
0	-	-	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))`	o/o	38	0
↳	`(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)))`	overflow	72
↳	`(+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))`	overflow	70
↳	`(.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z)`	overflow	70
↳	`(+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))`	overflow	70
↳	`(*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z)`	overflow	70
`/.f64`	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))`	o/n	17	0
↳	`(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)))`	overflow	72
↳	`(+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))`	overflow	70
↳	`(.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z)`	overflow	70
`*.f64`	`(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)))`	*no**	15	0
`/.f64`	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))`	n/o	3	0
↳	`(+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))`	overflow	70
↳	`(*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z)`	overflow	70

Confusion

	Predicted +	Predicted -
+	70	17
-	0	169

Precision

1.0

Recall

0.8045977011494253

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	70	0	17
-	0	0	169

Precision?

1.0

Recall?

0.8045977011494253

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	186
1	67
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

10.273681640625

Average Time

0.040131568908691406

Samples

451.0ms

3 072×

valid

Compiler

Compiled 3 804 to 888 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

const: 177.0ms (53.5% of total)

ival-mult: 70.0ms (21.1% of total)

ival-add: 61.0ms (18.4% of total)

ival-div: 20.0ms (6% of total)

ival-true: 2.0ms (0.6% of total)

ival-assert: 1.0ms (0.3% of total)

preprocess57.0ms (2.9%)

Memory

1.1MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	202
1	169	190
2	436	190
3	1497	189
4	4750	189
0	18	21
0	28	21
1	45	21
2	75	21
3	154	21
4	287	21
5	405	21
6	493	21
7	577	21
8	677	21
9	683	21
0	683	17

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))

Inputs

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))

Outputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(fma.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 6012459259764103/1000000000000000 binary64) z) z #s(literal 104698244219447/31250000000000 binary64))) (fma.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) z #s(literal 11167812716741/40000000000000 binary64)) x)

Outputs

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))

(fma.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 6012459259764103/1000000000000000 binary64) z) z #s(literal 104698244219447/31250000000000 binary64))) (fma.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) z #s(literal 11167812716741/40000000000000 binary64)) x)

Compiler

Compiled 21 to 18 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.2%	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))

Status

Accuracy

Program

66.2%

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))

Compiler

Compiled 42 to 36 computations (14.3% saved)

simplify20.0ms (1%)

Memory

2.7MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	21
1	27	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))

Inputs

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))

Outputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (.f64 (+.f64 #s(literal 307332350656623/625000000000000 binary64) (.f64 #s(literal 692910599291889/10000000000000000 binary64) z)) z)) y) (+.f64 #s(literal 104698244219447/31250000000000 binary64) (.f64 (+.f64 #s(literal 6012459259764103/1000000000000000 binary64) z) z))) x)

Outputs

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))

(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)) z)) y) (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 (+.f64 #s(literal 6012459259764103/1000000000000000 binary64) z) z))) x)

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 21 to 18 computations (14.3% saved)

preprocess6.0ms (0.3%)

Memory: -6.4MiB live, 3.4MiB allocated
Compiler: Compiled 214 to 144 computations (32.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze180.0ms (9.1%)

sample43.0ms (2.2%)

explain1.7s (84.6%)

preprocess57.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (1%)

soundness0.0ms (0%)

preprocess6.0ms (0.3%)

end0.0ms (0%)

Profiling