XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-21_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:25
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 86,730 MAX VALUE 23,690.60 0.84 0.12 1.15

Relational linkage 0.38 0.88 0.63 0.62 202.50 0.00 -148.98 0.08 0.12 0.94

Tightness 0.02 0.22 0.10 0.09 75.42 0.00 -1,792.11 0.04 0.38 2.27

Tuples 50 63 57.59 58.00 43,365 MAX VALUE 3,051.49 2.42 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 1.24 0.03 1.48

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	86,730	MAX VALUE	23,690.60	0.84	0.12	1.15
Relational linkage	0.38	0.88	0.63	0.62	202.50	0.00	-148.98	0.08	0.12	0.94
Tightness	0.02	0.22	0.10	0.09	75.42	0.00	-1,792.11	0.04	0.38	2.27
Tuples	50	63	57.59	58.00	43,365	MAX VALUE	3,051.49	2.42	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	1.24	0.03	1.48
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 613 648 630.75 631.00 2,523 1.58e+11 25.79 16.77 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 0 612 442.50 579.00 1,770 0 None 255.83 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	613	648	630.75	631.00	2,523	1.58e+11	25.79	16.77	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	442.50	579.00	1,770	0	None	255.83	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 1,257 11,604 3,036.16 1,520.00 115,374 MAX VALUE 295.30 2,573.56 0.85 2.93

Cluster variables 70 487 146.34 77.00 5,561 MAX VALUE 181.88 108.21 0.74 2.86

Separator constraints 0 6,599 2,309.11 1,444.00 87,746 0 None 1,496.51 0.65 2.93

Separator variables 0 365 126.53 76.00 4,808 0 None 82.47 0.65 2.86

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,257	11,604	3,036.16	1,520.00	115,374	MAX VALUE	295.30	2,573.56	0.85	2.93
Cluster variables	70	487	146.34	77.00	5,561	MAX VALUE	181.88	108.21	0.74	2.86
Separator constraints	0	6,599	2,309.11	1,444.00	87,746	0	None	1,496.51	0.65	2.93
Separator variables	0	365	126.53	76.00	4,808	0	None	82.47	0.65	2.86

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 38.63 0.25 -1.40 0.00 0.00 2.21

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.11 1.24 0.03 1.48

Eccentricity 1 2 1.68 2.00 67 134,218,000 18.71 0.47 0.28 0.63

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.96	0.97	0.97	0.96	38.63	0.25	-1.40	0.00	0.00	2.21
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.11	1.24	0.03	1.48
Eccentricity	1	2	1.68	2.00	67	134,218,000	18.71	0.47	0.28	0.63

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 0.68 -0.38 0.00 0.00 0.64

Degree 35 39 38.60 39.00 1,544 MAX VALUE 146.12 1.02 0.03 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	39.62	0.68	-0.38	0.00	0.00	0.64
Degree	35	39	38.60	39.00	1,544	MAX VALUE	146.12	1.02	0.03	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): 38,909
MCB cycles: 26,876
Triangles: 337,955
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 0.51 381.57 0.00 -511.87 0.00 0.00 2.26

Degree 69 76 73.38 73.00 55,256 MAX VALUE 3,234.44 1.67 0.02 1.89

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 80,628 MAX VALUE 29,526.30 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	381.57	0.00	-511.87	0.00	0.00	2.26
Degree	69	76	73.38	73.00	55,256	MAX VALUE	3,234.44	1.67	0.02	1.89
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	80,628	MAX VALUE	29,526.30	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 9,739
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 1,002.06 0.96 0.25 1.26

Eccentricity 9 15 11.88 12.00 8,944 MAX VALUE 1,859.95 1.14 0.10 1.54

MCB cycle size 3 15 6.06 6.00 4,325 MAX VALUE 1,267.65 1.35 0.22 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	1,002.06	0.96	0.25	1.26
Eccentricity	9	15	11.88	12.00	8,944	MAX VALUE	1,859.95	1.14	0.10	1.54
MCB cycle size	3	15	6.06	6.00	4,325	MAX VALUE	1,267.65	1.35	0.22	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: 6.91%

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

Clustering coefficient 0.47 1.00 0.82 0.79 614.68 0.00 -165.63 0.15 0.18 4.07

Degree 2 214 51.95 9.00 39,116 MAX VALUE 2,082.98 72.31 1.39 3.75

Eccentricity 3 5 4.08 4.00 3,075 MAX VALUE 1,051.10 0.60 0.15 0.90

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.82	0.79	614.68	0.00	-165.63	0.15	0.18	4.07
Degree	2	214	51.95	9.00	39,116	MAX VALUE	2,082.98	72.31	1.39	3.75
Eccentricity	3	5	4.08	4.00	3,075	MAX VALUE	1,051.10	0.60	0.15	0.90

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,012
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 3,208 MAX VALUE 1,106.44 0.28 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