XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-83_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:09
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 86,696 MAX VALUE 23,686.70 0.84 0.12 1.15

Relational linkage 0.38 0.75 0.64 0.62 203.25 0.00 -148.17 0.08 0.13 0.98

Tightness 0.02 0.27 0.10 0.09 75.69 0.00 -1,786.64 0.04 0.36 2.24

Tuples 47 63 57.57 58.00 43,348 MAX VALUE 3,051.25 2.32 0.04 2.24

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 1.13 0.03 1.45

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	86,696	MAX VALUE	23,686.70	0.84	0.12	1.15
Relational linkage	0.38	0.75	0.64	0.62	203.25	0.00	-148.17	0.08	0.13	0.98
Tightness	0.02	0.27	0.10	0.09	75.69	0.00	-1,786.64	0.04	0.36	2.24
Tuples	47	63	57.57	58.00	43,348	MAX VALUE	3,051.25	2.32	0.04	2.24
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	1.13	0.03	1.45
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: 4
Number of leaves: 2
Tree depth: 2
Dot-file path: None
PDF-file path: None

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

Cluster constraints 613 647 638.25 646.50 2,553 1.66e+11 25.83 14.58 0.02 1.04

Cluster variables 36 37 36.75 37.00 147 1,823,510 14.42 0.43 0.01 0.56

Separator constraints 0 611 450.00 594.50 1,800 0 None 260.16 0.58 1.04

Separator variables 0 36 26.75 35.50 107 0 None 15.45 0.58 1.04

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	613	647	638.25	646.50	2,553	1.66e+11	25.83	14.58	0.02	1.04
Cluster variables	36	37	36.75	37.00	147	1,823,510	14.42	0.43	0.01	0.56
Separator constraints	0	611	450.00	594.50	1,800	0	None	260.16	0.58	1.04
Separator variables	0	36	26.75	35.50	107	0	None	15.45	0.58	1.04

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 11,902 3,035.32 1,520.00 115,342 MAX VALUE 295.30 2,577.46 0.85 3.05

Cluster variables 69 492 146.34 77.00 5,561 MAX VALUE 181.88 108.27 0.74 2.86

Separator constraints 0 6,558 2,308.39 1,444.00 87,719 0 None 1,494.18 0.65 3.02

Separator variables 0 364 126.53 76.00 4,808 0 None 82.45 0.65 2.82

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,220	11,902	3,035.32	1,520.00	115,342	MAX VALUE	295.30	2,577.46	0.85	3.05
Cluster variables	69	492	146.34	77.00	5,561	MAX VALUE	181.88	108.27	0.74	2.86
Separator constraints	0	6,558	2,308.39	1,444.00	87,719	0	None	1,494.18	0.65	3.02
Separator variables	0	364	126.53	76.00	4,808	0	None	82.45	0.65	2.82

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 38.62 0.25 -1.41 0.00 0.00 2.43

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.13 0.03 1.45

Eccentricity 1 2 1.73 2.00 69 536,871,000 20.10 0.45 0.26 0.59

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.96	0.97	0.97	0.96	38.62	0.25	-1.41	0.00	0.00	2.43
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.12	1.13	0.03	1.45
Eccentricity	1	2	1.73	2.00	69	536,871,000	20.10	0.45	0.26	0.59

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 0.73

Degree 35 39 38.65 39.00 1,546 MAX VALUE 146.17 0.88 0.02 0.69

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	39.67	0.72	-0.33	0.00	0.00	0.73
Degree	35	39	38.65	39.00	1,546	MAX VALUE	146.17	0.88	0.02	0.69
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): 23,302
MCB cycles: 26,871
Triangles: 337,770
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 0.51 381.53 0.00 -511.95 0.00 0.00 2.24

Degree 68 76 73.37 73.00 55,246 MAX VALUE 3,234.33 1.54 0.02 1.83

Eccentricity 2 3 2.00 2.00 1,508 MAX VALUE 522.75 0.05 0.03 0.02

MCB cycle size 3 3 3.00 3.00 80,613 MAX VALUE 29,520.80 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	381.53	0.00	-511.95	0.00	0.00	2.24
Degree	68	76	73.37	73.00	55,246	MAX VALUE	3,234.33	1.54	0.02	1.83
Eccentricity	2	3	2.00	2.00	1,508	MAX VALUE	522.75	0.05	0.03	0.02
MCB cycle size	3	3	3.00	3.00	80,613	MAX VALUE	29,520.80	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 9,662
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 1,002.12 0.96 0.25 1.25

Eccentricity 8 14 11.70 12.00 8,807 MAX VALUE 1,848.21 1.13 0.10 1.52

MCB cycle size 3 15 6.04 6.00 4,309 MAX VALUE 1,267.26 1.27 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	1,002.12	0.96	0.25	1.25
Eccentricity	8	14	11.70	12.00	8,807	MAX VALUE	1,848.21	1.13	0.10	1.52
MCB cycle size	3	15	6.04	6.00	4,309	MAX VALUE	1,267.26	1.27	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: 6.91%

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

Clustering coefficient 0.47 1.00 0.82 0.78 614.46 0.00 -165.82 0.15 0.18 4.08

Degree 2 209 52.00 9.00 39,154 MAX VALUE 2,089.98 72.08 1.39 3.73

Eccentricity 3 5 4.18 4.00 3,145 MAX VALUE 1,068.33 0.60 0.14 0.90

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.82	0.78	614.46	0.00	-165.82	0.15	0.18	4.08
Degree	2	209	52.00	9.00	39,154	MAX VALUE	2,089.98	72.08	1.39	3.73
Eccentricity	3	5	4.18	4.00	3,145	MAX VALUE	1,068.33	0.60	0.14	0.90

Incidence graph

Density: 0.48%
MCB compute time (ms): 840
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 6 4.05 4.00 3,213 MAX VALUE 1,107.69 0.29 0.07 0.32

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