XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-94_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:19
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 86,684 MAX VALUE 23,682.90 0.85 0.12 1.16

Relational linkage 0.38 0.75 0.63 0.62 202.88 0.00 -148.54 0.08 0.13 0.97

Tightness 0.02 0.25 0.10 0.09 75.78 0.00 -1,786.76 0.04 0.37 2.26

Tuples 48 63 57.56 58.00 43,342 MAX VALUE 3,051.12 2.37 0.04 2.26

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 0.96 0.03 1.28

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	86,684	MAX VALUE	23,682.90	0.85	0.12	1.16
Relational linkage	0.38	0.75	0.63	0.62	202.88	0.00	-148.54	0.08	0.13	0.97
Tightness	0.02	0.25	0.10	0.09	75.78	0.00	-1,786.76	0.04	0.37	2.26
Tuples	48	63	57.56	58.00	43,342	MAX VALUE	3,051.12	2.37	0.04	2.26
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	0.96	0.03	1.28
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 612 682 646.33 645.00 1,939 269,213,000 19.41 28.59 0.04 1.10

Cluster variables 36 38 37.00 37.00 111 50,616 10.83 0.82 0.02 1.10

Separator constraints 0 609 395.33 577.00 1,186 0 None 279.85 0.71 1.10

Separator variables 0 36 23.67 35.00 71 0 None 16.74 0.71 1.10

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	612	682	646.33	645.00	1,939	269,213,000	19.41	28.59	0.04	1.10
Cluster variables	36	38	37.00	37.00	111	50,616	10.83	0.82	0.02	1.10
Separator constraints	0	609	395.33	577.00	1,186	0	None	279.85	0.71	1.10
Separator variables	0	36	23.67	35.00	71	0	None	16.74	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 1,220 11,658 3,024.71 1,520.00 114,939 MAX VALUE 295.27 2,544.93 0.84 2.86

Cluster variables 69 487 146.08 77.00 5,551 MAX VALUE 181.86 107.53 0.74 2.59

Separator constraints 0 6,407 2,297.97 1,444.00 87,323 0 None 1,466.51 0.64 2.82

Separator variables 0 360 126.26 76.00 4,798 0 None 81.74 0.65 2.55

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,220	11,658	3,024.71	1,520.00	114,939	MAX VALUE	295.27	2,544.93	0.84	2.86
Cluster variables	69	487	146.08	77.00	5,551	MAX VALUE	181.86	107.53	0.74	2.59
Separator constraints	0	6,407	2,297.97	1,444.00	87,323	0	None	1,466.51	0.64	2.82
Separator variables	0	360	126.26	76.00	4,798	0	None	81.74	0.65	2.55

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 0.96 0.96 38.60 0.24 -1.43 0.00 0.00 2.28

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 0.96 0.03 1.28

Eccentricity 1 2 1.85 2.00 74 1.72e+10 23.57 0.36 0.19 0.42

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.96	0.97	0.96	0.96	38.60	0.24	-1.43	0.00	0.00	2.28
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.12	0.96	0.03	1.28
Eccentricity	1	2	1.85	2.00	74	1.72e+10	23.57	0.36	0.19	0.42

Triangulated primal graph

Density: 99.23%

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

Clustering coefficient 0.99 1.00 0.99 0.99 39.72 0.75 -0.29 0.00 0.00 0.65

Degree 35 39 38.70 39.00 1,548 MAX VALUE 146.22 0.81 0.02 0.60

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	39.72	0.75	-0.29	0.00	0.00	0.65
Degree	35	39	38.70	39.00	1,548	MAX VALUE	146.22	0.81	0.02	0.60
Eccentricity	1	2	1.18	1.00	47	128	4.85	0.38	0.32	0.46

Dual graph

Density: 9.75%
MCB compute time (ms): 21,614
MCB cycles: 26,864
Triangles: 337,506
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 0.51 381.47 0.00 -512.06 0.00 0.00 2.05

Degree 68 76 73.35 74.00 55,232 MAX VALUE 3,234.19 1.31 0.02 1.65

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 80,592 MAX VALUE 29,513.10 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	381.47	0.00	-512.06	0.00	0.00	2.05
Degree	68	76	73.35	74.00	55,232	MAX VALUE	3,234.19	1.31	0.02	1.65
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	80,592	MAX VALUE	29,513.10	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 8,222
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 1,001.74 0.97 0.25 1.25

Eccentricity 9 15 11.73 12.00 8,835 MAX VALUE 1,850.93 1.09 0.09 1.50

MCB cycle size 3 11 6.08 6.00 4,344 MAX VALUE 1,273.11 1.27 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	1,001.74	0.97	0.25	1.25
Eccentricity	9	15	11.73	12.00	8,835	MAX VALUE	1,850.93	1.09	0.09	1.50
MCB cycle size	3	11	6.08	6.00	4,344	MAX VALUE	1,273.11	1.27	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: 6.87%

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

Clustering coefficient 0.51 1.00 0.82 0.77 614.40 0.00 -165.83 0.15 0.18 4.03

Degree 2 210 51.69 9.00 38,926 MAX VALUE 2,080.46 71.69 1.39 3.70

Eccentricity 3 6 4.17 4.00 3,137 MAX VALUE 1,065.64 0.63 0.15 0.96

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.51	1.00	0.82	0.77	614.40	0.00	-165.83	0.15	0.18	4.03
Degree	2	210	51.69	9.00	38,926	MAX VALUE	2,080.46	71.69	1.39	3.70
Eccentricity	3	6	4.17	4.00	3,137	MAX VALUE	1,065.64	0.63	0.15	0.96

Incidence graph

Density: 0.48%
MCB compute time (ms): 858
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 2.05 0.26

Eccentricity 3 5 4.05 4.00 3,208 MAX VALUE 1,106.98 0.24 0.06 0.25

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