XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-84_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:25
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 2 8 7.22 7.00 86,942 MAX VALUE 23,721.40 0.84 0.12 1.14

Relational linkage 0.25 0.88 0.64 0.62 204.62 0.00 -146.18 0.09 0.13 1.02

Tightness 0.02 0.22 0.10 0.09 73.77 0.00 -1,805.80 0.04 0.36 2.22

Tuples 50 63 57.73 58.00 43,471 MAX VALUE 3,053.41 2.28 0.04 2.22

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

Constraints per subscope 32 39 37.65 38.00 1,506 MAX VALUE 145.11 1.37 0.04 1.43

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	2	8	7.22	7.00	86,942	MAX VALUE	23,721.40	0.84	0.12	1.14
Relational linkage	0.25	0.88	0.64	0.62	204.62	0.00	-146.18	0.09	0.13	1.02
Tightness	0.02	0.22	0.10	0.09	73.77	0.00	-1,805.80	0.04	0.36	2.22
Tuples	50	63	57.73	58.00	43,471	MAX VALUE	3,053.41	2.28	0.04	2.22
Domain size	8	8	8.00	8.00	320	1.33e+36	83.18	0.00	0.00	0.00
Constraints per subscope	32	39	37.65	38.00	1,506	MAX VALUE	145.11	1.37	0.04	1.43
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 512 685 615.33 649.00 1,846 227,617,000 19.24 74.53 0.12 1.10

Cluster variables 33 38 36.00 37.00 108 46,398 10.74 2.16 0.06 1.10

Separator constraints 0 613 364.33 480.00 1,093 0 None 263.28 0.72 1.10

Separator variables 0 36 22.67 32.00 68 0 None 16.11 0.71 1.10

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	512	685	615.33	649.00	1,846	227,617,000	19.24	74.53	0.12	1.10
Cluster variables	33	38	36.00	37.00	108	46,398	10.74	2.16	0.06	1.10
Separator constraints	0	613	364.33	480.00	1,093	0	None	263.28	0.72	1.10
Separator variables	0	36	22.67	32.00	68	0	None	16.11	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 1,154 11,773 3,032.95 1,520.00 115,252 MAX VALUE 295.28 2,566.84 0.85 2.95

Cluster variables 67 489 146.24 77.00 5,557 MAX VALUE 181.87 107.93 0.74 2.74

Separator constraints 0 6,453 2,305.71 1,444.00 87,617 0 None 1,483.41 0.64 2.91

Separator variables 0 361 126.42 76.00 4,804 0 None 82.10 0.65 2.74

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,154	11,773	3,032.95	1,520.00	115,252	MAX VALUE	295.28	2,566.84	0.85	2.95
Cluster variables	67	489	146.24	77.00	5,557	MAX VALUE	181.87	107.93	0.74	2.74
Separator constraints	0	6,453	2,305.71	1,444.00	87,617	0	None	1,483.41	0.64	2.91
Separator variables	0	361	126.42	76.00	4,804	0	None	82.10	0.65	2.74

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 38.65 0.25 -1.37 0.00 0.00 2.26

Degree 32 39 37.65 38.00 1,506 MAX VALUE 145.11 1.37 0.04 1.43

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	38.65	0.25	-1.37	0.00	0.00	2.26
Degree	32	39	37.65	38.00	1,506	MAX VALUE	145.11	1.37	0.04	1.43
Eccentricity	1	2	1.70	2.00	68	268,435,000	19.41	0.46	0.27	0.61

Triangulated primal graph

Density: 98.85%

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

Clustering coefficient 0.99 1.00 0.99 0.99 39.60 0.67 -0.40 0.00 0.00 0.80

Degree 32 39 38.55 39.00 1,542 MAX VALUE 146.06 1.20 0.03 0.72

Eccentricity 1 2 1.25 1.00 50 1,024 6.93 0.43 0.35 0.56

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	39.60	0.67	-0.40	0.00	0.00	0.80
Degree	32	39	38.55	39.00	1,542	MAX VALUE	146.06	1.20	0.03	0.72
Eccentricity	1	2	1.25	1.00	50	1,024	6.93	0.43	0.35	0.56

Dual graph

Density: 9.76%
MCB compute time (ms): 21,011
MCB cycles: 26,883
Triangles: 338,196
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 0.51 381.62 0.00 -511.77 0.00 0.00 2.19

Degree 66 76 73.40 74.00 55,270 MAX VALUE 3,234.59 1.83 0.02 1.90

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 80,649 MAX VALUE 29,534.00 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	381.62	0.00	-511.77	0.00	0.00	2.19
Degree	66	76	73.40	74.00	55,270	MAX VALUE	3,234.59	1.83	0.02	1.90
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	80,649	MAX VALUE	29,534.00	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 8,340
MCB cycles: 714

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 1,002.38 0.95 0.24 1.25

Eccentricity 9 15 11.98 12.00 9,024 MAX VALUE 1,866.35 1.20 0.10 1.59

MCB cycle size 3 12 6.05 6.00 4,323 MAX VALUE 1,269.84 1.25 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	0.83	0.00	None	0.02	16.43	0.03
Degree	2	7	3.89	4.00	2,932	MAX VALUE	1,002.38	0.95	0.24	1.25
Eccentricity	9	15	11.98	12.00	9,024	MAX VALUE	1,866.35	1.20	0.10	1.59
MCB cycle size	3	12	6.05	6.00	4,323	MAX VALUE	1,269.84	1.25	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: 7.10%

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

Clustering coefficient 0.47 1.00 0.82 0.78 615.83 0.00 -163.91 0.15 0.18 4.06

Degree 2 222 53.38 9.00 40,192 MAX VALUE 2,100.50 73.26 1.37 3.80

Eccentricity 3 6 4.13 4.00 3,111 MAX VALUE 1,059.59 0.62 0.15 0.93

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.82	0.78	615.83	0.00	-163.91	0.15	0.18	4.06
Degree	2	222	53.38	9.00	40,192	MAX VALUE	2,100.50	73.26	1.37	3.80
Eccentricity	3	6	4.13	4.00	3,111	MAX VALUE	1,059.59	0.62	0.15	0.93

Incidence graph

Density: 0.48%
MCB compute time (ms): 782
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 667.04 7.81 2.06 0.27

Eccentricity 3 5 4.06 4.00 3,218 MAX VALUE 1,108.82 0.29 0.07 0.34

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