XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-80_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:15
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 86,930 MAX VALUE 23,718.20 0.84 0.12 1.14

Relational linkage 0.25 0.75 0.63 0.62 201.88 0.00 -150.89 0.09 0.14 1.05

Tightness 0.02 0.23 0.10 0.09 73.86 0.00 -1,812.97 0.04 0.39 2.28

Tuples 49 63 57.72 58.00 43,465 MAX VALUE 3,053.23 2.43 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 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.30 0.03 1.52

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	86,930	MAX VALUE	23,718.20	0.84	0.12	1.14
Relational linkage	0.25	0.75	0.63	0.62	201.88	0.00	-150.89	0.09	0.14	1.05
Tightness	0.02	0.23	0.10	0.09	73.86	0.00	-1,812.97	0.04	0.39	2.28
Tuples	49	63	57.72	58.00	43,465	MAX VALUE	3,053.23	2.43	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	34	39	37.65	38.00	1,506	MAX VALUE	145.11	1.30	0.03	1.52
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 581 648 631.25 648.00 2,525 1.58e+11 25.79 29.01 0.05 0.56

Cluster variables 35 37 36.50 37.00 146 1,772,860 14.39 0.87 0.02 0.56

Separator constraints 0 613 443.00 579.50 1,772 0 None 257.16 0.58 1.39

Separator variables 0 36 26.50 35.00 106 0 None 15.32 0.58 1.04

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	581	648	631.25	648.00	2,525	1.58e+11	25.79	29.01	0.05	0.56
Cluster variables	35	37	36.50	37.00	146	1,772,860	14.39	0.87	0.02	0.56
Separator constraints	0	613	443.00	579.50	1,772	0	None	257.16	0.58	1.39
Separator variables	0	36	26.50	35.00	106	0	None	15.32	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 1,185 11,533 3,036.39 1,520.00 115,383 MAX VALUE 295.30 2,571.91 0.85 3.00

Cluster variables 68 486 146.34 77.00 5,561 MAX VALUE 181.88 108.23 0.74 2.70

Separator constraints 0 6,597 2,309.26 1,444.00 87,752 0 None 1,497.95 0.65 3.00

Separator variables 0 365 126.53 76.00 4,808 0 None 82.54 0.65 2.66

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,185	11,533	3,036.39	1,520.00	115,383	MAX VALUE	295.30	2,571.91	0.85	3.00
Cluster variables	68	486	146.34	77.00	5,561	MAX VALUE	181.88	108.23	0.74	2.70
Separator constraints	0	6,597	2,309.26	1,444.00	87,752	0	None	1,497.95	0.65	3.00
Separator variables	0	365	126.53	76.00	4,808	0	None	82.54	0.65	2.66

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 0.98 0.97 0.96 38.64 0.25 -1.38 0.00 0.00 2.37

Degree 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.30 0.03 1.52

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	0.98	0.97	0.96	38.64	0.25	-1.38	0.00	0.00	2.37
Degree	34	39	37.65	38.00	1,506	MAX VALUE	145.11	1.30	0.03	1.52
Eccentricity	1	2	1.70	2.00	68	268,435,000	19.41	0.46	0.27	0.61

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 0.80

Degree 34 39 38.60 39.00 1,544 MAX VALUE 146.12 0.99 0.03 0.74

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	0.80
Degree	34	39	38.60	39.00	1,544	MAX VALUE	146.12	0.99	0.03	0.74
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): 51,867
MCB cycles: 26,879
Triangles: 338,062
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 0.51 381.59 0.00 -511.83 0.00 0.00 2.33

Degree 67 76 73.39 74.00 55,262 MAX VALUE 3,234.50 1.74 0.02 1.91

Eccentricity 2 3 2.01 2.00 1,510 MAX VALUE 523.56 0.07 0.04 0.03

MCB cycle size 3 3 3.00 3.00 80,637 MAX VALUE 29,529.60 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	381.59	0.00	-511.83	0.00	0.00	2.33
Degree	67	76	73.39	74.00	55,262	MAX VALUE	3,234.50	1.74	0.02	1.91
Eccentricity	2	3	2.01	2.00	1,510	MAX VALUE	523.56	0.07	0.04	0.03
MCB cycle size	3	3	3.00	3.00	80,637	MAX VALUE	29,529.60	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 16,963
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 1,002.17 0.96 0.25 1.25

Eccentricity 9 15 11.94 12.00 8,988 MAX VALUE 1,863.83 1.11 0.09 1.51

MCB cycle size 3 13 6.03 6.00 4,302 MAX VALUE 1,265.68 1.27 0.21 1.60

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	1,002.17	0.96	0.25	1.25
Eccentricity	9	15	11.94	12.00	8,988	MAX VALUE	1,863.83	1.11	0.09	1.51
MCB cycle size	3	13	6.03	6.00	4,302	MAX VALUE	1,265.68	1.27	0.21	1.60

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: 6.77%

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

Clustering coefficient 0.47 1.00 0.81 0.78 613.04 0.00 -167.99 0.15 0.19 4.09

Degree 2 221 50.91 9.00 38,334 MAX VALUE 2,084.14 70.42 1.38 3.80

Eccentricity 3 6 4.66 5.00 3,510 MAX VALUE 1,153.21 0.58 0.12 0.87

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.81	0.78	613.04	0.00	-167.99	0.15	0.19	4.09
Degree	2	221	50.91	9.00	38,334	MAX VALUE	2,084.14	70.42	1.38	3.80
Eccentricity	3	6	4.66	5.00	3,510	MAX VALUE	1,153.21	0.58	0.12	0.87

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,534
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 0.28

Eccentricity 3 6 4.05 4.00 3,213 MAX VALUE 1,107.54 0.30 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