XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-45_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:10
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 86,792 MAX VALUE 23,698.40 0.85 0.12 1.15

Relational linkage 0.38 0.75 0.63 0.62 202.12 0.00 -149.94 0.08 0.13 1.00

Tightness 0.00 0.23 0.10 0.09 74.94 0.00 None 0.04 0.38 2.29

Tuples 49 64 57.63 58.00 43,396 MAX VALUE 3,052.03 2.42 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 145.11 1.26 0.03 1.47

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	86,792	MAX VALUE	23,698.40	0.85	0.12	1.15
Relational linkage	0.38	0.75	0.63	0.62	202.12	0.00	-149.94	0.08	0.13	1.00
Tightness	0.00	0.23	0.10	0.09	74.94	0.00	None	0.04	0.38	2.29
Tuples	49	64	57.63	58.00	43,396	MAX VALUE	3,052.03	2.42	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	145.11	1.26	0.03	1.47
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 614 648 631.50 632.00 2,526 1.59e+11 25.79 16.52 0.03 1.04

Cluster variables 36 37 36.50 36.50 146 1,774,220 14.39 0.50 0.01 0.69

Separator constraints 0 613 443.25 580.00 1,773 0 None 256.27 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	614	648	631.50	632.00	2,526	1.59e+11	25.79	16.52	0.03	1.04
Cluster variables	36	37	36.50	36.50	146	1,774,220	14.39	0.50	0.01	0.69
Separator constraints	0	613	443.25	580.00	1,773	0	None	256.27	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 1,221 11,729 3,029.32 1,520.00 115,114 MAX VALUE 295.28 2,556.26 0.84 2.98

Cluster variables 69 488 146.13 77.00 5,553 MAX VALUE 181.86 107.68 0.74 2.78

Separator constraints 0 6,417 2,302.24 1,444.00 87,485 0 None 1,475.57 0.64 2.95

Separator variables 0 360 126.32 76.00 4,800 0 None 81.87 0.65 2.70

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,221	11,729	3,029.32	1,520.00	115,114	MAX VALUE	295.28	2,556.26	0.84	2.98
Cluster variables	69	488	146.13	77.00	5,553	MAX VALUE	181.86	107.68	0.74	2.78
Separator constraints	0	6,417	2,302.24	1,444.00	87,485	0	None	1,475.57	0.64	2.95
Separator variables	0	360	126.32	76.00	4,800	0	None	81.87	0.65	2.70

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 2.18

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.11 1.26 0.03 1.47

Eccentricity 1 2 1.70 2.00 68 268,435,000 19.41 0.46 0.27 0.61

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	2.18
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.11	1.26	0.03	1.47
Eccentricity	1	2	1.70	2.00	68	268,435,000	19.41	0.46	0.27	0.61

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 39.63 0.69 -0.38 0.00 0.00 0.71

Degree 35 39 38.60 39.00 1,544 MAX VALUE 146.12 0.97 0.03 0.71

Eccentricity 1 2 1.20 1.00 48 256 5.55 0.40 0.33 0.50

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	39.63	0.69	-0.38	0.00	0.00	0.71
Degree	35	39	38.60	39.00	1,544	MAX VALUE	146.12	0.97	0.03	0.71
Eccentricity	1	2	1.20	1.00	48	256	5.55	0.40	0.33	0.50

Dual graph

Density: 9.76%
MCB compute time (ms): 29,993
MCB cycles: 26,877
Triangles: 337,990
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 0.51 381.58 0.00 -511.85 0.00 0.00 2.26

Degree 68 76 73.38 74.00 55,258 MAX VALUE 3,234.46 1.69 0.02 1.89

Eccentricity 2 3 2.01 2.00 1,510 MAX VALUE 523.56 0.07 0.04 0.03

MCB cycle size 3 3 3.00 3.00 80,631 MAX VALUE 29,527.40 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	381.58	0.00	-511.85	0.00	0.00	2.26
Degree	68	76	73.38	74.00	55,258	MAX VALUE	3,234.46	1.69	0.02	1.89
Eccentricity	2	3	2.01	2.00	1,510	MAX VALUE	523.56	0.07	0.04	0.03
MCB cycle size	3	3	3.00	3.00	80,631	MAX VALUE	29,527.40	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 8,132
MCB cycles: 718

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 1,002.17 0.96 0.25 1.26

Eccentricity 9 15 11.76 12.00 8,857 MAX VALUE 1,852.44 1.15 0.10 1.55

MCB cycle size 3 13 6.04 6.00 4,337 MAX VALUE 1,275.14 1.26 0.21 1.58

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	1,002.17	0.96	0.25	1.26
Eccentricity	9	15	11.76	12.00	8,857	MAX VALUE	1,852.44	1.15	0.10	1.55
MCB cycle size	3	13	6.04	6.00	4,337	MAX VALUE	1,275.14	1.26	0.21	1.58

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: 6.48%

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

Clustering coefficient 0.49 1.00 0.81 0.78 609.65 0.00 -172.53 0.15 0.19 4.11

Degree 2 215 48.75 9.00 36,708 MAX VALUE 2,071.31 67.57 1.39 3.80

Eccentricity 3 6 4.52 5.00 3,403 MAX VALUE 1,129.57 0.57 0.13 0.86

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	1.00	0.81	0.78	609.65	0.00	-172.53	0.15	0.19	4.11
Degree	2	215	48.75	9.00	36,708	MAX VALUE	2,071.31	67.57	1.39	3.80
Eccentricity	3	6	4.52	5.00	3,403	MAX VALUE	1,129.57	0.57	0.13	0.86

Incidence graph

Density: 0.48%
MCB compute time (ms): 999
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 3,213 MAX VALUE 1,107.54 0.30 0.07 0.33

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