XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-53_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:23
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 86,650 MAX VALUE 23,677.50 0.85 0.12 1.16

Relational linkage 0.38 0.75 0.63 0.62 201.62 0.00 -150.57 0.08 0.13 0.97

Tightness 0.00 0.23 0.10 0.09 76.05 0.00 None 0.04 0.39 2.32

Tuples 49 64 57.54 58.00 43,325 MAX VALUE 3,050.76 2.50 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 1.35 0.04 1.50

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	86,650	MAX VALUE	23,677.50	0.85	0.12	1.16
Relational linkage	0.38	0.75	0.63	0.62	201.62	0.00	-150.57	0.08	0.13	0.97
Tightness	0.00	0.23	0.10	0.09	76.05	0.00	None	0.04	0.39	2.32
Tuples	49	64	57.54	58.00	43,325	MAX VALUE	3,050.76	2.50	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	1.35	0.04	1.50
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 547 685 615.67 615.00 1,847 230,437,000 19.26 56.34 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 0 580 364.67 514.00 1,094 0 None 259.26 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	615.67	615.00	1,847	230,437,000	19.26	56.34	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	580	364.67	514.00	1,094	0	None	259.26	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 11,665 3,040.63 1,520.00 115,544 MAX VALUE 295.32 2,584.10 0.85 2.91

Cluster variables 67 488 146.45 77.00 5,565 MAX VALUE 181.89 108.42 0.74 2.77

Separator constraints 0 6,564 2,313.42 1,444.00 87,910 0 None 1,501.91 0.65 2.91

Separator variables 0 364 126.63 76.00 4,812 0 None 82.63 0.65 2.77

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,152	11,665	3,040.63	1,520.00	115,544	MAX VALUE	295.32	2,584.10	0.85	2.91
Cluster variables	67	488	146.45	77.00	5,565	MAX VALUE	181.89	108.42	0.74	2.77
Separator constraints	0	6,564	2,313.42	1,444.00	87,910	0	None	1,501.91	0.65	2.91
Separator variables	0	364	126.63	76.00	4,812	0	None	82.63	0.65	2.77

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 0.97 38.65 0.25 -1.37 0.00 0.00 2.40

Degree 33 39 37.65 38.00 1,506 MAX VALUE 145.11 1.35 0.04 1.50

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	0.97	38.65	0.25	-1.37	0.00	0.00	2.40
Degree	33	39	37.65	38.00	1,506	MAX VALUE	145.11	1.35	0.04	1.50
Eccentricity	1	2	1.68	2.00	67	134,218,000	18.71	0.47	0.28	0.63

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): 54,962
MCB cycles: 26,882
Triangles: 338,168
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 0.51 381.61 0.00 -511.78 0.00 0.00 2.29

Degree 66 76 73.40 74.00 55,268 MAX VALUE 3,234.57 1.81 0.02 1.93

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 80,646 MAX VALUE 29,532.90 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	381.61	0.00	-511.78	0.00	0.00	2.29
Degree	66	76	73.40	74.00	55,268	MAX VALUE	3,234.57	1.81	0.02	1.93
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	80,646	MAX VALUE	29,532.90	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 14,306
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 1,002.44 0.95 0.24 1.25

Eccentricity 8 15 11.74 12.00 8,843 MAX VALUE 1,851.15 1.16 0.10 1.57

MCB cycle size 3 13 6.05 6.00 4,325 MAX VALUE 1,270.39 1.28 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	1,002.44	0.95	0.24	1.25
Eccentricity	8	15	11.74	12.00	8,843	MAX VALUE	1,851.15	1.16	0.10	1.57
MCB cycle size	3	13	6.05	6.00	4,325	MAX VALUE	1,270.39	1.28	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: 6.75%

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

Clustering coefficient 0.47 1.00 0.81 0.77 613.35 0.00 -167.47 0.15 0.18 4.09

Degree 2 210 50.77 9.00 38,232 MAX VALUE 2,080.56 70.22 1.38 3.75

Eccentricity 3 6 4.46 4.00 3,362 MAX VALUE 1,119.64 0.60 0.13 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	613.35	0.00	-167.47	0.15	0.18	4.09
Degree	2	210	50.77	9.00	38,232	MAX VALUE	2,080.56	70.22	1.38	3.75
Eccentricity	3	6	4.46	4.00	3,362	MAX VALUE	1,119.64	0.60	0.13	0.90

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,577
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 5 4.06 4.00 3,217 MAX VALUE 1,108.53 0.29 0.07 0.34

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