XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-1_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:21
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 7.19 7.00 86,678 MAX VALUE 23,682.30 0.85 0.12 1.15

Relational linkage 0.38 0.75 0.63 0.62 201.25 0.00 -151.22 0.08 0.13 0.98

Tightness 0.02 0.23 0.10 0.09 75.83 0.00 -1,789.82 0.04 0.37 2.28

Tuples 49 63 57.56 58.00 43,339 MAX VALUE 3,051.05 2.41 0.04 2.28

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

Constraints per subscope 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.09 0.03 1.42

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	7.19	7.00	86,678	MAX VALUE	23,682.30	0.85	0.12	1.15
Relational linkage	0.38	0.75	0.63	0.62	201.25	0.00	-151.22	0.08	0.13	0.98
Tightness	0.02	0.23	0.10	0.09	75.83	0.00	-1,789.82	0.04	0.37	2.28
Tuples	49	63	57.56	58.00	43,339	MAX VALUE	3,051.05	2.41	0.04	2.28
Domain size	8	8	8.00	8.00	320	1.33e+36	83.18	0.00	0.00	0.00
Constraints per subscope	35	39	37.65	38.00	1,506	MAX VALUE	145.12	1.09	0.03	1.42
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 610 682 646.33 647.00 1,939 269,165,000 19.41 29.40 0.05 1.10

Cluster variables 36 38 37.00 37.00 111 50,616 10.83 0.82 0.02 1.10

Separator constraints 0 611 395.33 575.00 1,186 0 None 279.93 0.71 1.10

Separator variables 0 36 23.67 35.00 71 0 None 16.74 0.71 1.10

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	610	682	646.33	647.00	1,939	269,165,000	19.41	29.40	0.05	1.10
Cluster variables	36	38	37.00	37.00	111	50,616	10.83	0.82	0.02	1.10
Separator constraints	0	611	395.33	575.00	1,186	0	None	279.93	0.71	1.10
Separator variables	0	36	23.67	35.00	71	0	None	16.74	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 1,220 11,623 3,032.50 1,520.00 115,235 MAX VALUE 295.30 2,564.48 0.85 3.01

Cluster variables 69 487 146.26 77.00 5,558 MAX VALUE 181.88 107.99 0.74 2.79

Separator constraints 0 6,523 2,305.63 1,444.00 87,614 0 None 1,486.53 0.64 3.01

Separator variables 0 363 126.45 76.00 4,805 0 None 82.23 0.65 2.83

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,220	11,623	3,032.50	1,520.00	115,235	MAX VALUE	295.30	2,564.48	0.85	3.01
Cluster variables	69	487	146.26	77.00	5,558	MAX VALUE	181.88	107.99	0.74	2.79
Separator constraints	0	6,523	2,305.63	1,444.00	87,614	0	None	1,486.53	0.64	3.01
Separator variables	0	363	126.45	76.00	4,805	0	None	82.23	0.65	2.83

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 0.96 38.61 0.24 -1.41 0.00 0.00 2.46

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.09 0.03 1.42

Eccentricity 1 2 1.77 2.00 71 2.15e+09 21.49 0.42 0.24 0.53

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.96	0.97	0.97	0.96	38.61	0.24	-1.41	0.00	0.00	2.46
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.12	1.09	0.03	1.42
Eccentricity	1	2	1.77	2.00	71	2.15e+09	21.49	0.42	0.24	0.53

Triangulated primal graph

Density: 99.23%

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

Clustering coefficient 0.99 1.00 0.99 0.99 39.72 0.75 -0.29 0.00 0.00 0.65

Degree 35 39 38.70 39.00 1,548 MAX VALUE 146.22 0.81 0.02 0.60

Eccentricity 1 2 1.18 1.00 47 128 4.85 0.38 0.32 0.46

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	39.72	0.75	-0.29	0.00	0.00	0.65
Degree	35	39	38.70	39.00	1,548	MAX VALUE	146.22	0.81	0.02	0.60
Eccentricity	1	2	1.18	1.00	47	128	4.85	0.38	0.32	0.46

Dual graph

Density: 9.76%
MCB compute time (ms): 23,021
MCB cycles: 26,869
Triangles: 337,694
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 0.51 381.51 0.00 -511.99 0.00 0.00 2.22

Degree 68 76 73.36 74.00 55,242 MAX VALUE 3,234.29 1.49 0.02 1.78

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 80,607 MAX VALUE 29,518.60 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	381.51	0.00	-511.99	0.00	0.00	2.22
Degree	68	76	73.36	74.00	55,242	MAX VALUE	3,234.29	1.49	0.02	1.78
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	80,607	MAX VALUE	29,518.60	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 9,241
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 1.05 0.00 None 0.02 13.49 0.06

Degree 2 7 3.89 4.00 2,932 MAX VALUE 1,001.84 0.96 0.25 1.25

Eccentricity 9 15 11.93 12.00 8,980 MAX VALUE 1,862.53 1.22 0.10 1.61

MCB cycle size 3 11 6.06 6.00 4,333 MAX VALUE 1,271.90 1.26 0.21 1.58

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.00	0.00	1.05	0.00	None	0.02	13.49	0.06
Degree	2	7	3.89	4.00	2,932	MAX VALUE	1,001.84	0.96	0.25	1.25
Eccentricity	9	15	11.93	12.00	8,980	MAX VALUE	1,862.53	1.22	0.10	1.61
MCB cycle size	3	11	6.06	6.00	4,333	MAX VALUE	1,271.90	1.26	0.21	1.58

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: 6.56%

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

Clustering coefficient 0.47 1.00 0.81 0.78 613.26 0.00 -168.00 0.15 0.19 4.04

Degree 2 207 49.31 9.00 37,128 MAX VALUE 2,065.22 68.86 1.40 3.70

Eccentricity 3 6 4.30 4.00 3,239 MAX VALUE 1,090.52 0.62 0.14 0.93

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.81	0.78	613.26	0.00	-168.00	0.15	0.19	4.04
Degree	2	207	49.31	9.00	37,128	MAX VALUE	2,065.22	68.86	1.40	3.70
Eccentricity	3	6	4.30	4.00	3,239	MAX VALUE	1,090.52	0.62	0.14	0.93

Incidence graph

Density: 0.48%
MCB compute time (ms): 893
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 667.06 7.81 2.06 0.27

Eccentricity 3 5 4.05 4.00 3,211 MAX VALUE 1,107.45 0.26 0.07 0.29

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