XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-40_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:22
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 40
Number of constraints: 753

General features

Number of coarse blocks: 12,048
Number of unique subscopes: 40

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Arity 2 2 2.00 2.00 1,506 MAX VALUE 521.94 0.00 0.00 0.00

Coarse blocks size 3 8 7.20 7.00 86,694 MAX VALUE 23,686.10 0.84 0.12 1.15

Relational linkage 0.38 0.75 0.64 0.62 203.62 0.00 -147.23 0.08 0.12 0.94

Tightness 0.02 0.22 0.10 0.09 75.70 0.00 -1,783.12 0.03 0.35 2.21

Tuples 50 63 57.57 58.00 43,347 MAX VALUE 3,051.29 2.23 0.04 2.21

Domain size 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00

Constraints per subscope 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.19 0.03 1.44

Partitions per subscope 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	2	2	2.00	2.00	1,506	MAX VALUE	521.94	0.00	0.00	0.00
Coarse blocks size	3	8	7.20	7.00	86,694	MAX VALUE	23,686.10	0.84	0.12	1.15
Relational linkage	0.38	0.75	0.64	0.62	203.62	0.00	-147.23	0.08	0.12	0.94
Tightness	0.02	0.22	0.10	0.09	75.70	0.00	-1,783.12	0.03	0.35	2.21
Tuples	50	63	57.57	58.00	43,347	MAX VALUE	3,051.29	2.23	0.04	2.21
Domain size	8	8	8.00	8.00	320	1.33e+36	83.18	0.00	0.00	0.00
Constraints per subscope	34	39	37.65	38.00	1,506	MAX VALUE	145.11	1.19	0.03	1.44
Partitions per subscope	8	8	8.00	8.00	320	1.33e+36	83.18	0.00	0.00	0.00

Tree decomposition

Number of clusters: 3
Number of leaves: 2
Tree depth: 1
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 578 683 636.67 649.00 1,910 256,208,000 19.36 43.74 0.07 1.10

Cluster variables 35 38 36.67 37.00 110 49,210 10.80 1.25 0.03 1.10

Separator constraints 0 613 385.67 544.00 1,157 0 None 274.16 0.71 1.10

Separator variables 0 36 23.33 34.00 70 0 None 16.52 0.71 1.10

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	578	683	636.67	649.00	1,910	256,208,000	19.36	43.74	0.07	1.10
Cluster variables	35	38	36.67	37.00	110	49,210	10.80	1.25	0.03	1.10
Separator constraints	0	613	385.67	544.00	1,157	0	None	274.16	0.71	1.10
Separator variables	0	36	23.33	34.00	70	0	None	16.52	0.71	1.10

Dual tree decomposition

Number of clusters: 38
Number of leaves: 20
Tree depth: 4
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 1,222 11,770 3,030.21 1,520.00 115,148 MAX VALUE 295.28 2,560.98 0.85 3.01

Cluster variables 69 489 146.18 77.00 5,555 MAX VALUE 181.87 107.83 0.74 2.76

Separator constraints 0 6,450 2,303.21 1,444.00 87,522 0 None 1,479.45 0.64 2.98

Separator variables 0 361 126.37 76.00 4,802 0 None 82.02 0.65 2.76

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,222	11,770	3,030.21	1,520.00	115,148	MAX VALUE	295.28	2,560.98	0.85	3.01
Cluster variables	69	489	146.18	77.00	5,555	MAX VALUE	181.87	107.83	0.74	2.76
Separator constraints	0	6,450	2,303.21	1,444.00	87,522	0	None	1,479.45	0.64	2.98
Separator variables	0	361	126.37	76.00	4,802	0	None	82.02	0.65	2.76

Primal graph

Density: 96.54%
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.96 0.97 0.97 0.97 38.63 0.25 -1.40 0.00 0.00 2.40

Degree 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.19 0.03 1.44

Eccentricity 1 2 1.70 2.00 68 268,435,000 19.41 0.46 0.27 0.61

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.96	0.97	0.97	0.97	38.63	0.25	-1.40	0.00	0.00	2.40
Degree	34	39	37.65	38.00	1,506	MAX VALUE	145.11	1.19	0.03	1.44
Eccentricity	1	2	1.70	2.00	68	268,435,000	19.41	0.46	0.27	0.61

Triangulated primal graph

Density: 99.10%

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.99 1.00 0.99 0.99 39.67 0.72 -0.33 0.00 0.00 0.71

Degree 34 39 38.65 39.00 1,546 MAX VALUE 146.17 0.94 0.02 0.65

Eccentricity 1 2 1.20 1.00 48 256 5.55 0.40 0.33 0.50

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	39.67	0.72	-0.33	0.00	0.00	0.71
Degree	34	39	38.65	39.00	1,546	MAX VALUE	146.17	0.94	0.02	0.65
Eccentricity	1	2	1.20	1.00	48	256	5.55	0.40	0.33	0.50

Dual graph

Density: 9.76%
MCB compute time (ms): 37,215
MCB cycles: 26,874
Triangles: 337,880
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.51 0.51 0.51 0.51 381.55 0.00 -511.91 0.00 0.00 2.23

Degree 68 76 73.38 73.00 55,252 MAX VALUE 3,234.40 1.63 0.02 1.86

Eccentricity 2 2 2.00 2.00 1,506 MAX VALUE 521.94 0.00 0.00 0.00

MCB cycle size 3 3 3.00 3.00 80,622 MAX VALUE 29,524.10 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.51	0.51	0.51	0.51	381.55	0.00	-511.91	0.00	0.00	2.23
Degree	68	76	73.38	73.00	55,252	MAX VALUE	3,234.40	1.63	0.02	1.86
Eccentricity	2	2	2.00	2.00	1,506	MAX VALUE	521.94	0.00	0.00	0.00
MCB cycle size	3	3	3.00	3.00	80,622	MAX VALUE	29,524.10	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 10,311
MCB cycles: 715

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.00 0.33 0.00 0.00 0.83 0.00 None 0.02 16.43 0.03

Degree 2 7 3.89 4.00 2,932 MAX VALUE 1,002.22 0.96 0.25 1.25

Eccentricity 9 14 11.89 12.00 8,952 MAX VALUE 1,860.72 1.11 0.09 1.51

MCB cycle size 3 14 5.97 6.00 4,271 MAX VALUE 1,262.39 1.23 0.21 1.55

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.00	0.00	0.83	0.00	None	0.02	16.43	0.03
Degree	2	7	3.89	4.00	2,932	MAX VALUE	1,002.22	0.96	0.25	1.25
Eccentricity	9	14	11.89	12.00	8,952	MAX VALUE	1,860.72	1.11	0.09	1.51
MCB cycle size	3	14	5.97	6.00	4,271	MAX VALUE	1,262.39	1.23	0.21	1.55

Triangulated dual graph

Density: None%
Triangles: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient None None None None None None None None None None

Degree None None None None None None None None None None

Eccentricity None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	None	None	None	None	None	None	None	None	None	None
Degree	None	None	None	None	None	None	None	None	None	None
Eccentricity	None	None	None	None	None	None	None	None	None	None

Triangulated minimal dual graph

Density: 6.29%

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.47 1.00 0.81 0.76 611.05 0.00 -171.35 0.16 0.19 4.03

Degree 2 204 47.27 9.00 35,596 MAX VALUE 2,054.74 65.42 1.38 3.76

Eccentricity 3 6 4.26 4.00 3,210 MAX VALUE 1,083.93 0.61 0.14 0.92

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.81	0.76	611.05	0.00	-171.35	0.16	0.19	4.03
Degree	2	204	47.27	9.00	35,596	MAX VALUE	2,054.74	65.42	1.38	3.76
Eccentricity	3	6	4.26	4.00	3,210	MAX VALUE	1,083.93	0.61	0.14	0.92

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,055
MCB cycles: 714
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.00 0.00 0.00 0.00 0.00 0.00 None 0.00 None 0.00

Degree 2 39 3.80 2.00 3,012 MAX VALUE 667.05 7.81 2.06 0.27

Eccentricity 3 5 4.05 4.00 3,215 MAX VALUE 1,108.15 0.29 0.07 0.33

MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00

XCSP 2.1 Benchmarks