XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-82_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:08
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 7.19 7.00 86,672 MAX VALUE 23,680.10 0.85 0.12 1.16

Relational linkage 0.38 0.75 0.63 0.62 200.50 0.00 -152.49 0.08 0.13 0.98

Tightness 0.02 0.23 0.10 0.09 75.88 0.00 -1,793.62 0.04 0.39 2.32

Tuples 49 63 57.55 58.00 43,336 MAX VALUE 3,050.94 2.51 0.04 2.32

Domain size 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00

Constraints per subscope 33 39 37.65 38.00 1,506 MAX VALUE 145.11 1.24 0.03 1.37

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	7.19	7.00	86,672	MAX VALUE	23,680.10	0.85	0.12	1.16
Relational linkage	0.38	0.75	0.63	0.62	200.50	0.00	-152.49	0.08	0.13	0.98
Tightness	0.02	0.23	0.10	0.09	75.88	0.00	-1,793.62	0.04	0.39	2.32
Tuples	49	63	57.55	58.00	43,336	MAX VALUE	3,050.94	2.51	0.04	2.32
Domain size	8	8	8.00	8.00	320	1.33e+36	83.18	0.00	0.00	0.00
Constraints per subscope	33	39	37.65	38.00	1,506	MAX VALUE	145.11	1.24	0.03	1.37
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 547 685 614.67 612.00 1,844 229,313,000 19.25 56.37 0.09 1.10

Cluster variables 34 38 36.00 36.00 108 46,512 10.75 1.63 0.05 1.10

Separator constraints 0 577 363.67 514.00 1,091 0 None 258.43 0.71 1.10

Separator variables 0 35 22.67 33.00 68 0 None 16.05 0.71 1.10

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	547	685	614.67	612.00	1,844	229,313,000	19.25	56.37	0.09	1.10
Cluster variables	34	38	36.00	36.00	108	46,512	10.75	1.63	0.05	1.10
Separator constraints	0	577	363.67	514.00	1,091	0	None	258.43	0.71	1.10
Separator variables	0	35	22.67	33.00	68	0	None	16.05	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 1,152 11,819 3,030.79 1,520.00 115,170 MAX VALUE 295.29 2,562.14 0.85 2.91

Cluster variables 67 490 146.18 77.00 5,555 MAX VALUE 181.86 107.87 0.74 2.54

Separator constraints 0 6,491 2,303.74 1,444.00 87,542 0 None 1,481.45 0.64 2.87

Separator variables 0 362 126.37 76.00 4,802 0 None 82.07 0.65 2.51

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,152	11,819	3,030.79	1,520.00	115,170	MAX VALUE	295.29	2,562.14	0.85	2.91
Cluster variables	67	490	146.18	77.00	5,555	MAX VALUE	181.86	107.87	0.74	2.54
Separator constraints	0	6,491	2,303.74	1,444.00	87,542	0	None	1,481.45	0.64	2.87
Separator variables	0	362	126.37	76.00	4,802	0	None	82.07	0.65	2.51

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 -1.39 0.00 0.00 2.34

Degree 33 39 37.65 38.00 1,506 MAX VALUE 145.11 1.24 0.03 1.37

Eccentricity 1 2 1.80 2.00 72 4.29e+09 22.18 0.40 0.22 0.50

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	-1.39	0.00	0.00	2.34
Degree	33	39	37.65	38.00	1,506	MAX VALUE	145.11	1.24	0.03	1.37
Eccentricity	1	2	1.80	2.00	72	4.29e+09	22.18	0.40	0.22	0.50

Triangulated primal graph

Density: 98.85%

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

Clustering coefficient 0.99 1.00 0.99 0.99 39.59 0.66 -0.41 0.00 0.00 0.82

Degree 33 39 38.55 39.00 1,542 MAX VALUE 146.06 1.14 0.03 0.72

Eccentricity 1 2 1.25 1.00 50 1,024 6.93 0.43 0.35 0.56

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	39.59	0.66	-0.41	0.00	0.00	0.82
Degree	33	39	38.55	39.00	1,542	MAX VALUE	146.06	1.14	0.03	0.72
Eccentricity	1	2	1.25	1.00	50	1,024	6.93	0.43	0.35	0.56

Dual graph

Density: 9.76%
MCB compute time (ms): 44,311
MCB cycles: 26,876
Triangles: 337,942
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 2.17

Degree 66 76 73.38 74.00 55,256 MAX VALUE 3,234.44 1.65 0.02 1.80

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 80,628 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	2.17
Degree	66	76	73.38	74.00	55,256	MAX VALUE	3,234.44	1.65	0.02	1.80
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	80,628	MAX VALUE	29,526.30	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 9,870
MCB cycles: 715

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 1,002.13 0.96 0.25 1.25

Eccentricity 9 15 12.18 12.00 9,173 MAX VALUE 1,878.79 1.20 0.10 1.58

MCB cycle size 3 15 6.02 6.00 4,304 MAX VALUE 1,264.59 1.36 0.23 1.63

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	1,002.13	0.96	0.25	1.25
Eccentricity	9	15	12.18	12.00	9,173	MAX VALUE	1,878.79	1.20	0.10	1.58
MCB cycle size	3	15	6.02	6.00	4,304	MAX VALUE	1,264.59	1.36	0.23	1.63

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: 6.47%

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

Clustering coefficient 0.47 1.00 0.81 0.78 610.85 0.00 -171.35 0.15 0.19 4.08

Degree 2 214 48.69 9.00 36,662 MAX VALUE 2,071.87 67.04 1.38 3.80

Eccentricity 3 5 4.12 4.00 3,103 MAX VALUE 1,058.44 0.59 0.14 0.88

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.81	0.78	610.85	0.00	-171.35	0.15	0.19	4.08
Degree	2	214	48.69	9.00	36,662	MAX VALUE	2,071.87	67.04	1.38	3.80
Eccentricity	3	5	4.12	4.00	3,103	MAX VALUE	1,058.44	0.59	0.14	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 667.05 7.81 2.06 0.27

Eccentricity 3 5 4.06 4.00 3,216 MAX VALUE 1,108.63 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