XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-70_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 2 8 7.20 7.00 86,700 MAX VALUE 23,684.50 0.85 0.12 1.16

Relational linkage 0.25 0.75 0.63 0.62 200.75 0.00 -152.40 0.08 0.14 1.01

Tightness 0.02 0.25 0.10 0.09 75.66 0.00 -1,790.45 0.04 0.38 2.27

Tuples 48 63 57.57 58.00 43,350 MAX VALUE 3,051.24 2.41 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 145.12 1.01 0.03 1.36

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	7.20	7.00	86,700	MAX VALUE	23,684.50	0.85	0.12	1.16
Relational linkage	0.25	0.75	0.63	0.62	200.75	0.00	-152.40	0.08	0.14	1.01
Tightness	0.02	0.25	0.10	0.09	75.66	0.00	-1,790.45	0.04	0.38	2.27
Tuples	48	63	57.57	58.00	43,350	MAX VALUE	3,051.24	2.41	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	145.12	1.01	0.03	1.36
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 644 682 668.67 680.00 2,006 298,661,000 19.51 17.46 0.03 1.10

Cluster variables 37 38 37.67 38.00 113 53,428 10.89 0.47 0.01 0.64

Separator constraints 0 645 417.67 608.00 1,253 0 None 295.72 0.71 1.10

Separator variables 0 37 24.33 36.00 73 0 None 17.21 0.71 1.10

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	644	682	668.67	680.00	2,006	298,661,000	19.51	17.46	0.03	1.10
Cluster variables	37	38	37.67	38.00	113	53,428	10.89	0.47	0.01	0.64
Separator constraints	0	645	417.67	608.00	1,253	0	None	295.72	0.71	1.10
Separator variables	0	37	24.33	36.00	73	0	None	17.21	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 1,256 11,492 3,030.68 1,520.00 115,166 MAX VALUE 295.29 2,558.45 0.84 2.94

Cluster variables 70 485 146.24 77.00 5,557 MAX VALUE 181.87 107.93 0.74 2.66

Separator constraints 0 6,519 2,303.89 1,444.00 87,548 0 None 1,484.62 0.64 2.94

Separator variables 0 363 126.42 76.00 4,804 0 None 82.22 0.65 2.66

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,256	11,492	3,030.68	1,520.00	115,166	MAX VALUE	295.29	2,558.45	0.84	2.94
Cluster variables	70	485	146.24	77.00	5,557	MAX VALUE	181.87	107.93	0.74	2.66
Separator constraints	0	6,519	2,303.89	1,444.00	87,548	0	None	1,484.62	0.64	2.94
Separator variables	0	363	126.42	76.00	4,804	0	None	82.22	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 0.97 0.97 0.96 38.60 0.24 -1.42 0.00 0.00 2.14

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.01 0.03 1.36

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	38.60	0.24	-1.42	0.00	0.00	2.14
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.12	1.01	0.03	1.36
Eccentricity	1	2	1.75	2.00	70	1.07e+09	20.79	0.43	0.25	0.56

Triangulated primal graph

Density: 99.49%

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

Clustering coefficient 0.99 1.00 1.00 0.99 39.81 0.82 -0.20 0.00 0.00 0.51

Degree 36 39 38.80 39.00 1,552 MAX VALUE 146.33 0.60 0.02 0.50

Eccentricity 1 2 1.12 1.00 45 32 3.47 0.33 0.29 0.38

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	1.00	0.99	39.81	0.82	-0.20	0.00	0.00	0.51
Degree	36	39	38.80	39.00	1,552	MAX VALUE	146.33	0.60	0.02	0.50
Eccentricity	1	2	1.12	1.00	45	32	3.47	0.33	0.29	0.38

Dual graph

Density: 9.75%
MCB compute time (ms): 44,635
MCB cycles: 26,867
Triangles: 337,585
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 0.51 381.49 0.00 -512.04 0.00 0.00 2.09

Degree 69 76 73.35 73.00 55,236 MAX VALUE 3,234.23 1.40 0.02 1.74

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 80,601 MAX VALUE 29,516.40 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	381.49	0.00	-512.04	0.00	0.00	2.09
Degree	69	76	73.35	73.00	55,236	MAX VALUE	3,234.23	1.40	0.02	1.74
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	80,601	MAX VALUE	29,516.40	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 7,588
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 1,002.57 0.95 0.24 1.25

Eccentricity 9 16 12.08 12.00 9,097 MAX VALUE 1,872.43 1.21 0.10 1.60

MCB cycle size 3 14 6.00 6.00 4,282 MAX VALUE 1,260.36 1.35 0.23 1.62

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	1,002.57	0.95	0.24	1.25
Eccentricity	9	16	12.08	12.00	9,097	MAX VALUE	1,872.43	1.21	0.10	1.60
MCB cycle size	3	14	6.00	6.00	4,282	MAX VALUE	1,260.36	1.35	0.23	1.62

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: 6.69%

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

Clustering coefficient 0.44 1.00 0.81 0.77 612.47 0.00 -168.80 0.15 0.19 4.07

Degree 2 214 50.30 9.00 37,876 MAX VALUE 2,079.15 69.43 1.38 3.77

Eccentricity 3 6 4.52 5.00 3,402 MAX VALUE 1,129.05 0.59 0.13 0.88

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.44	1.00	0.81	0.77	612.47	0.00	-168.80	0.15	0.19	4.07
Degree	2	214	50.30	9.00	37,876	MAX VALUE	2,079.15	69.43	1.38	3.77
Eccentricity	3	6	4.52	5.00	3,402	MAX VALUE	1,129.05	0.59	0.13	0.88

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,145
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 667.06 7.81 2.06 0.27

Eccentricity 3 5 4.05 4.00 3,211 MAX VALUE 1,107.39 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