XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-56_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:17
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 1 8 7.19 7.00 86,640 MAX VALUE 23,672.40 0.86 0.12 1.16

Relational linkage 0.12 0.75 0.62 0.62 199.38 0.00 -155.95 0.10 0.15 1.08

Tightness 0.02 0.25 0.10 0.09 76.12 0.00 -1,785.72 0.04 0.37 2.26

Tuples 48 63 57.53 58.00 43,320 MAX VALUE 3,050.74 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 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.22 0.03 1.43

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	1	8	7.19	7.00	86,640	MAX VALUE	23,672.40	0.86	0.12	1.16
Relational linkage	0.12	0.75	0.62	0.62	199.38	0.00	-155.95	0.10	0.15	1.08
Tightness	0.02	0.25	0.10	0.09	76.12	0.00	-1,785.72	0.04	0.37	2.26
Tuples	48	63	57.53	58.00	43,320	MAX VALUE	3,050.74	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	34	39	37.65	38.00	1,506	MAX VALUE	145.11	1.22	0.03	1.43
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 645 650 646.50 645.50 2,586 1.75e+11 25.89 2.06 0.00 1.04

Cluster variables 37 37 37.00 37.00 148 1,874,160 14.44 0.00 0.00 0.00

Separator constraints 0 614 458.25 609.50 1,833 0 None 264.58 0.58 1.39

Separator variables 0 36 27.00 36.00 108 0 None 15.59 0.58 0.56

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	645	650	646.50	645.50	2,586	1.75e+11	25.89	2.06	0.00	1.04
Cluster variables	37	37	37.00	37.00	148	1,874,160	14.44	0.00	0.00	0.00
Separator constraints	0	614	458.25	609.50	1,833	0	None	264.58	0.58	1.39
Separator variables	0	36	27.00	36.00	108	0	None	15.59	0.58	0.56

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 1,222 11,530 3,036.26 1,520.00 115,378 MAX VALUE 295.31 2,572.22 0.85 2.98

Cluster variables 69 486 146.34 77.00 5,561 MAX VALUE 181.88 108.23 0.74 2.84

Separator constraints 0 6,635 2,309.24 1,444.00 87,751 0 None 1,498.62 0.65 2.98

Separator variables 0 366 126.53 76.00 4,808 0 None 82.55 0.65 2.84

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,222	11,530	3,036.26	1,520.00	115,378	MAX VALUE	295.31	2,572.22	0.85	2.98
Cluster variables	69	486	146.34	77.00	5,561	MAX VALUE	181.88	108.23	0.74	2.84
Separator constraints	0	6,635	2,309.24	1,444.00	87,751	0	None	1,498.62	0.65	2.98
Separator variables	0	366	126.53	76.00	4,808	0	None	82.55	0.65	2.84

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 38.63 0.25 -1.39 0.00 0.00 2.30

Degree 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.22 0.03 1.43

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	38.63	0.25	-1.39	0.00	0.00	2.30
Degree	34	39	37.65	38.00	1,506	MAX VALUE	145.11	1.22	0.03	1.43
Eccentricity	1	2	1.68	2.00	67	134,218,000	18.71	0.47	0.28	0.63

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 39.71 0.75 -0.29 0.00 0.00 0.59

Degree 36 39 38.70 39.00 1,548 MAX VALUE 146.22 0.78 0.02 0.59

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	39.71	0.75	-0.29	0.00	0.00	0.59
Degree	36	39	38.70	39.00	1,548	MAX VALUE	146.22	0.78	0.02	0.59
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): 52,156
MCB cycles: 26,875
Triangles: 337,918
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 0.51 381.56 0.00 -511.89 0.00 0.00 2.20

Degree 68 76 73.38 73.00 55,254 MAX VALUE 3,234.42 1.65 0.02 1.88

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 80,625 MAX VALUE 29,525.20 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	381.56	0.00	-511.89	0.00	0.00	2.20
Degree	68	76	73.38	73.00	55,254	MAX VALUE	3,234.42	1.65	0.02	1.88
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	80,625	MAX VALUE	29,525.20	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 19,911
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 1,002.14 0.96 0.25 1.26

Eccentricity 9 15 11.86 12.00 8,929 MAX VALUE 1,858.36 1.19 0.10 1.59

MCB cycle size 3 15 6.02 6.00 4,303 MAX VALUE 1,266.05 1.30 0.22 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	1,002.14	0.96	0.25	1.26
Eccentricity	9	15	11.86	12.00	8,929	MAX VALUE	1,858.36	1.19	0.10	1.59
MCB cycle size	3	15	6.02	6.00	4,303	MAX VALUE	1,266.05	1.30	0.22	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: 6.78%

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

Clustering coefficient 0.54 1.00 0.82 0.78 614.10 0.00 -166.35 0.15 0.18 4.06

Degree 2 211 51.02 9.00 38,420 MAX VALUE 2,077.33 71.22 1.40 3.72

Eccentricity 3 6 4.16 4.00 3,133 MAX VALUE 1,064.80 0.62 0.15 0.95

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.54	1.00	0.82	0.78	614.10	0.00	-166.35	0.15	0.18	4.06
Degree	2	211	51.02	9.00	38,420	MAX VALUE	2,077.33	71.22	1.40	3.72
Eccentricity	3	6	4.16	4.00	3,133	MAX VALUE	1,064.80	0.62	0.15	0.95

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,571
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 4.06 4.00 3,216 MAX VALUE 1,108.23 0.30 0.07 0.35

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