XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-13_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:18
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 7.17 7.00 86,432 MAX VALUE 23,645.30 0.85 0.12 1.17

Relational linkage 0.25 0.75 0.63 0.62 200.38 0.00 -153.18 0.09 0.14 1.03

Tightness 0.00 0.23 0.10 0.09 77.75 0.00 None 0.04 0.37 2.29

Tuples 49 64 57.39 58.00 43,216 MAX VALUE 3,048.89 2.44 0.04 2.29

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 1.06 0.03 1.40

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	7.17	7.00	86,432	MAX VALUE	23,645.30	0.85	0.12	1.17
Relational linkage	0.25	0.75	0.63	0.62	200.38	0.00	-153.18	0.09	0.14	1.03
Tightness	0.00	0.23	0.10	0.09	77.75	0.00	None	0.04	0.37	2.29
Tuples	49	64	57.39	58.00	43,216	MAX VALUE	3,048.89	2.44	0.04	2.29
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	1.06	0.03	1.40
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 646 681 658.00 647.00 1,974 284,632,000 19.47 16.27 0.02 1.10

Cluster variables 37 38 37.33 37.00 112 52,022 10.86 0.47 0.01 0.64

Separator constraints 0 611 407.00 610.00 1,221 0 None 287.79 0.71 1.10

Separator variables 0 36 24.00 36.00 72 0 None 16.97 0.71 0.64

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	646	681	658.00	647.00	1,974	284,632,000	19.47	16.27	0.02	1.10
Cluster variables	37	38	37.33	37.00	112	52,022	10.86	0.47	0.01	0.64
Separator constraints	0	611	407.00	610.00	1,221	0	None	287.79	0.71	1.10
Separator variables	0	36	24.00	36.00	72	0	None	16.97	0.71	0.64

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 1,220 11,478 3,033.11 1,520.00 115,258 MAX VALUE 295.31 2,563.51 0.85 3.01

Cluster variables 69 485 146.29 77.00 5,559 MAX VALUE 181.88 108.06 0.74 2.76

Separator constraints 0 6,584 2,306.26 1,444.00 87,638 0 None 1,490.18 0.65 3.01

Separator variables 0 365 126.47 76.00 4,806 0 None 82.37 0.65 2.76

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,220	11,478	3,033.11	1,520.00	115,258	MAX VALUE	295.31	2,563.51	0.85	3.01
Cluster variables	69	485	146.29	77.00	5,559	MAX VALUE	181.88	108.06	0.74	2.76
Separator constraints	0	6,584	2,306.26	1,444.00	87,638	0	None	1,490.18	0.65	3.01
Separator variables	0	365	126.47	76.00	4,806	0	None	82.37	0.65	2.76

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 38.61 0.24 -1.42 0.00 0.00 2.38

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.06 0.03 1.40

Eccentricity 1 2 1.77 2.00 71 2.15e+09 21.49 0.42 0.24 0.53

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.96	0.97	0.97	0.96	38.61	0.24	-1.42	0.00	0.00	2.38
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.12	1.06	0.03	1.40
Eccentricity	1	2	1.77	2.00	71	2.15e+09	21.49	0.42	0.24	0.53

Triangulated primal graph

Density: 99.36%

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

Clustering coefficient 0.99 1.00 0.99 0.99 39.76 0.79 -0.24 0.00 0.00 0.52

Degree 36 39 38.75 39.00 1,550 MAX VALUE 146.28 0.70 0.02 0.52

Eccentricity 1 2 1.15 1.00 46 64 4.16 0.36 0.31 0.42

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	39.76	0.79	-0.24	0.00	0.00	0.52
Degree	36	39	38.75	39.00	1,550	MAX VALUE	146.28	0.70	0.02	0.52
Eccentricity	1	2	1.15	1.00	46	64	4.16	0.36	0.31	0.42

Dual graph

Density: 9.76%
MCB compute time (ms): 50,340
MCB cycles: 26,868
Triangles: 337,657
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 0.51 381.50 0.00 -512.00 0.00 0.00 2.19

Degree 68 76 73.36 73.00 55,240 MAX VALUE 3,234.27 1.45 0.02 1.77

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 80,604 MAX VALUE 29,517.50 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	381.50	0.00	-512.00	0.00	0.00	2.19
Degree	68	76	73.36	73.00	55,240	MAX VALUE	3,234.27	1.45	0.02	1.77
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	80,604	MAX VALUE	29,517.50	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 11,654
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 1.25

Eccentricity 9 15 12.09 12.00 9,104 MAX VALUE 1,873.38 1.14 0.09 1.53

MCB cycle size 3 15 6.02 6.00 4,299 MAX VALUE 1,265.62 1.27 0.21 1.59

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	1.25
Eccentricity	9	15	12.09	12.00	9,104	MAX VALUE	1,873.38	1.14	0.09	1.53
MCB cycle size	3	15	6.02	6.00	4,299	MAX VALUE	1,265.62	1.27	0.21	1.59

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: 6.34%

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

Clustering coefficient 0.47 1.00 0.81 0.76 609.60 0.00 -172.87 0.15 0.19 4.07

Degree 2 208 47.66 9.00 35,888 MAX VALUE 2,060.68 65.91 1.38 3.76

Eccentricity 3 6 4.34 4.00 3,268 MAX VALUE 1,097.73 0.60 0.14 0.91

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.81	0.76	609.60	0.00	-172.87	0.15	0.19	4.07
Degree	2	208	47.66	9.00	35,888	MAX VALUE	2,060.68	65.91	1.38	3.76
Eccentricity	3	6	4.34	4.00	3,268	MAX VALUE	1,097.73	0.60	0.14	0.91

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,224
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 6 4.05 4.00 3,211 MAX VALUE 1,107.37 0.27 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