XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-47_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:11
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 86,746 MAX VALUE 23,691.00 0.85 0.12 1.16

Relational linkage 0.38 0.75 0.63 0.62 201.50 0.00 -150.88 0.08 0.13 0.98

Tightness 0.00 0.23 0.10 0.09 75.30 0.00 None 0.04 0.37 2.27

Tuples 49 64 57.60 58.00 43,373 MAX VALUE 3,051.65 2.39 0.04 2.27

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 145.11 1.15 0.03 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	3	8	7.20	7.00	86,746	MAX VALUE	23,691.00	0.85	0.12	1.16
Relational linkage	0.38	0.75	0.63	0.62	201.50	0.00	-150.88	0.08	0.13	0.98
Tightness	0.00	0.23	0.10	0.09	75.30	0.00	None	0.04	0.37	2.27
Tuples	49	64	57.60	58.00	43,373	MAX VALUE	3,051.65	2.39	0.04	2.27
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	145.11	1.15	0.03	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: 4
Number of leaves: 3
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 612 648 630.00 630.00 2,520 1.57e+11 25.78 17.51 0.03 1.39

Cluster variables 36 37 36.50 36.50 146 1,774,220 14.39 0.50 0.01 0.69

Separator constraints 0 612 441.75 577.50 1,767 0 None 255.43 0.58 1.39

Separator variables 0 36 26.50 35.00 106 0 None 15.31 0.58 1.04

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	612	648	630.00	630.00	2,520	1.57e+11	25.78	17.51	0.03	1.39
Cluster variables	36	37	36.50	36.50	146	1,774,220	14.39	0.50	0.01	0.69
Separator constraints	0	612	441.75	577.50	1,767	0	None	255.43	0.58	1.39
Separator variables	0	36	26.50	35.00	106	0	None	15.31	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 1,256 11,640 3,038.79 1,520.00 115,474 MAX VALUE 295.32 2,581.18 0.85 2.91

Cluster variables 70 488 146.45 77.00 5,565 MAX VALUE 181.89 108.44 0.74 2.71

Separator constraints 0 6,626 2,311.84 1,444.00 87,850 0 None 1,501.40 0.65 2.91

Separator variables 0 366 126.63 76.00 4,812 0 None 82.68 0.65 2.71

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,256	11,640	3,038.79	1,520.00	115,474	MAX VALUE	295.32	2,581.18	0.85	2.91
Cluster variables	70	488	146.45	77.00	5,565	MAX VALUE	181.89	108.44	0.74	2.71
Separator constraints	0	6,626	2,311.84	1,444.00	87,850	0	None	1,501.40	0.65	2.91
Separator variables	0	366	126.63	76.00	4,812	0	None	82.68	0.65	2.71

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 0.24 -1.41 0.00 0.00 2.35

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.11 1.15 0.03 1.43

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	0.24	-1.41	0.00	0.00	2.35
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.11	1.15	0.03	1.43
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 39.62 0.69 -0.38 0.00 0.00 0.70

Degree 35 39 38.60 39.00 1,544 MAX VALUE 146.12 0.99 0.03 0.68

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	39.62	0.69	-0.38	0.00	0.00	0.70
Degree	35	39	38.60	39.00	1,544	MAX VALUE	146.12	0.99	0.03	0.68
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): 39,836
MCB cycles: 26,873
Triangles: 337,805
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 2.24

Degree 69 76 73.37 74.00 55,248 MAX VALUE 3,234.35 1.57 0.02 1.83

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 80,619 MAX VALUE 29,523.00 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	2.24
Degree	69	76	73.37	74.00	55,248	MAX VALUE	3,234.35	1.57	0.02	1.83
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	80,619	MAX VALUE	29,523.00	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 10,303
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 1,001.84 0.97 0.25 1.26

Eccentricity 9 15 11.87 12.00 8,941 MAX VALUE 1,859.79 1.12 0.09 1.52

MCB cycle size 3 15 6.04 6.00 4,314 MAX VALUE 1,266.79 1.33 0.22 1.61

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	1,001.84	0.97	0.25	1.26
Eccentricity	9	15	11.87	12.00	8,941	MAX VALUE	1,859.79	1.12	0.09	1.52
MCB cycle size	3	15	6.04	6.00	4,314	MAX VALUE	1,266.79	1.33	0.22	1.61

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 0.77 610.92 0.00 -170.91 0.15 0.19 4.08

Degree 2 218 49.33 9.00 37,148 MAX VALUE 2,070.77 68.59 1.39 3.75

Eccentricity 3 6 4.43 4.00 3,339 MAX VALUE 1,114.22 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	0.81	0.77	610.92	0.00	-170.91	0.15	0.19	4.08
Degree	2	218	49.33	9.00	37,148	MAX VALUE	2,070.77	68.59	1.39	3.75
Eccentricity	3	6	4.43	4.00	3,339	MAX VALUE	1,114.22	0.60	0.14	0.90

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,001
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 3,209 MAX VALUE 1,106.94 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