XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-12_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:28
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 7.21 7.00 86,852 MAX VALUE 23,707.70 0.84 0.12 1.15

Relational linkage 0.38 0.75 0.63 0.62 202.38 0.00 -150.06 0.09 0.14 1.06

Tightness 0.02 0.27 0.10 0.09 74.47 0.00 -1,801.20 0.04 0.37 2.25

Tuples 47 63 57.67 58.00 43,426 MAX VALUE 3,052.58 2.36 0.04 2.25

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 1.15 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	7.21	7.00	86,852	MAX VALUE	23,707.70	0.84	0.12	1.15
Relational linkage	0.38	0.75	0.63	0.62	202.38	0.00	-150.06	0.09	0.14	1.06
Tightness	0.02	0.27	0.10	0.09	74.47	0.00	-1,801.20	0.04	0.37	2.25
Tuples	47	63	57.67	58.00	43,426	MAX VALUE	3,052.58	2.36	0.04	2.25
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	1.15	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: 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 580 684 625.00 611.00 1,875 242,396,000 19.31 43.60 0.07 1.10

Cluster variables 35 38 36.33 36.00 109 47,880 10.78 1.25 0.03 1.10

Separator constraints 0 576 374.00 546.00 1,122 0 None 264.74 0.71 1.10

Separator variables 0 35 23.00 34.00 69 0 None 16.27 0.71 1.10

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	580	684	625.00	611.00	1,875	242,396,000	19.31	43.60	0.07	1.10
Cluster variables	35	38	36.33	36.00	109	47,880	10.78	1.25	0.03	1.10
Separator constraints	0	576	374.00	546.00	1,122	0	None	264.74	0.71	1.10
Separator variables	0	35	23.00	34.00	69	0	None	16.27	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 1,221 11,722 3,025.97 1,520.00 114,987 MAX VALUE 295.27 2,548.80 0.84 2.95

Cluster variables 69 488 146.08 77.00 5,551 MAX VALUE 181.86 107.57 0.74 2.66

Separator constraints 0 6,410 2,299.03 1,444.00 87,363 0 None 1,469.49 0.64 2.91

Separator variables 0 360 126.26 76.00 4,798 0 None 81.77 0.65 2.62

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,221	11,722	3,025.97	1,520.00	114,987	MAX VALUE	295.27	2,548.80	0.84	2.95
Cluster variables	69	488	146.08	77.00	5,551	MAX VALUE	181.86	107.57	0.74	2.66
Separator constraints	0	6,410	2,299.03	1,444.00	87,363	0	None	1,469.49	0.64	2.91
Separator variables	0	360	126.26	76.00	4,798	0	None	81.77	0.65	2.62

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 2.39

Degree 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.15 0.03 1.45

Eccentricity 1 2 1.75 2.00 70 1.07e+09 20.79 0.43 0.25 0.56

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	2.39
Degree	34	39	37.65	38.00	1,506	MAX VALUE	145.11	1.15	0.03	1.45
Eccentricity	1	2	1.75	2.00	70	1.07e+09	20.79	0.43	0.25	0.56

Triangulated primal graph

Density: 98.97%

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

Clustering coefficient 0.99 1.00 0.99 0.99 39.63 0.69 -0.37 0.00 0.00 0.72

Degree 34 39 38.60 39.00 1,544 MAX VALUE 146.12 1.04 0.03 0.72

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	39.63	0.69	-0.37	0.00	0.00	0.72
Degree	34	39	38.60	39.00	1,544	MAX VALUE	146.12	1.04	0.03	0.72
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): 31,911
MCB cycles: 26,913
Triangles: 337,802
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 -511.94 0.00 0.00 2.26

Degree 68 76 73.37 74.00 55,248 MAX VALUE 3,234.36 1.56 0.02 1.82

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 80,739 MAX VALUE 29,567.00 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	381.53	0.00	-511.94	0.00	0.00	2.26
Degree	68	76	73.37	74.00	55,248	MAX VALUE	3,234.36	1.56	0.02	1.82
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	80,739	MAX VALUE	29,567.00	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 10,216
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 1,001.91 0.96 0.25 1.26

Eccentricity 9 14 11.69 12.00 8,805 MAX VALUE 1,848.47 1.06 0.09 1.47

MCB cycle size 3 13 6.12 6.00 4,367 MAX VALUE 1,277.38 1.26 0.21 1.57

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	1,001.91	0.96	0.25	1.26
Eccentricity	9	14	11.69	12.00	8,805	MAX VALUE	1,848.47	1.06	0.09	1.47
MCB cycle size	3	13	6.12	6.00	4,367	MAX VALUE	1,277.38	1.26	0.21	1.57

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: 6.98%

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

Clustering coefficient 0.47 1.00 0.82 0.79 616.12 0.00 -163.50 0.15 0.18 4.05

Degree 2 222 52.48 9.00 39,518 MAX VALUE 2,090.39 72.72 1.39 3.72

Eccentricity 3 6 4.46 4.00 3,357 MAX VALUE 1,119.06 0.57 0.13 0.84

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.82	0.79	616.12	0.00	-163.50	0.15	0.18	4.05
Degree	2	222	52.48	9.00	39,518	MAX VALUE	2,090.39	72.72	1.39	3.72
Eccentricity	3	6	4.46	4.00	3,357	MAX VALUE	1,119.06	0.57	0.13	0.84

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,059
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 3,210 MAX VALUE 1,107.17 0.27 0.07 0.30

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