XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-29_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:27
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 7.21 7.00 86,856 MAX VALUE 23,706.10 0.85 0.12 1.15

Relational linkage 0.38 0.75 0.63 0.62 202.88 0.00 -148.69 0.08 0.13 0.98

Tightness 0.02 0.22 0.10 0.09 74.44 0.00 -1,806.53 0.04 0.38 2.28

Tuples 50 63 57.67 58.00 43,428 MAX VALUE 3,052.59 2.42 0.04 2.28

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 1.15 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	7.21	7.00	86,856	MAX VALUE	23,706.10	0.85	0.12	1.15
Relational linkage	0.38	0.75	0.63	0.62	202.88	0.00	-148.69	0.08	0.13	0.98
Tightness	0.02	0.22	0.10	0.09	74.44	0.00	-1,806.53	0.04	0.38	2.28
Tuples	50	63	57.67	58.00	43,428	MAX VALUE	3,052.59	2.42	0.04	2.28
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	1.15	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: 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 610 682 646.67 648.00 1,940 269,581,000 19.41 29.41 0.05 1.10

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

Separator constraints 0 612 395.67 575.00 1,187 0 None 280.19 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	610	682	646.67	648.00	1,940	269,581,000	19.41	29.41	0.05	1.10
Cluster variables	36	38	37.00	37.00	111	50,616	10.83	0.82	0.02	1.10
Separator constraints	0	612	395.67	575.00	1,187	0	None	280.19	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 11,541 3,035.66 1,520.00 115,355 MAX VALUE 295.31 2,571.14 0.85 3.02

Cluster variables 69 486 146.34 77.00 5,561 MAX VALUE 181.88 108.18 0.74 2.76

Separator constraints 0 6,636 2,308.71 1,444.00 87,731 0 None 1,494.95 0.65 3.02

Separator variables 0 366 126.53 76.00 4,808 0 None 82.46 0.65 2.80

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,220	11,541	3,035.66	1,520.00	115,355	MAX VALUE	295.31	2,571.14	0.85	3.02
Cluster variables	69	486	146.34	77.00	5,561	MAX VALUE	181.88	108.18	0.74	2.76
Separator constraints	0	6,636	2,308.71	1,444.00	87,731	0	None	1,494.95	0.65	3.02
Separator variables	0	366	126.53	76.00	4,808	0	None	82.46	0.65	2.80

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 -1.41 0.00 0.00 2.43

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.11 1.15 0.03 1.47

Eccentricity 1 2 1.73 2.00 69 536,871,000 20.10 0.45 0.26 0.59

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	-1.41	0.00	0.00	2.43
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.11	1.15	0.03	1.47
Eccentricity	1	2	1.73	2.00	69	536,871,000	20.10	0.45	0.26	0.59

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: 9.76%
MCB compute time (ms): 34,350
MCB cycles: 26,872
Triangles: 337,805
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 0.51 381.53 0.00 -511.94 0.00 0.00 2.26

Degree 68 76 73.37 73.00 55,248 MAX VALUE 3,234.35 1.57 0.02 1.84

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 80,616 MAX VALUE 29,521.90 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	381.53	0.00	-511.94	0.00	0.00	2.26
Degree	68	76	73.37	73.00	55,248	MAX VALUE	3,234.35	1.57	0.02	1.84
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	80,616	MAX VALUE	29,521.90	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 8,861
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 1,001.89 0.97 0.25 1.26

Eccentricity 9 14 11.62 12.00 8,748 MAX VALUE 1,843.70 1.04 0.09 1.45

MCB cycle size 3 12 6.00 6.00 4,284 MAX VALUE 1,261.81 1.31 0.22 1.61

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	1,001.89	0.97	0.25	1.26
Eccentricity	9	14	11.62	12.00	8,748	MAX VALUE	1,843.70	1.04	0.09	1.45
MCB cycle size	3	12	6.00	6.00	4,284	MAX VALUE	1,261.81	1.31	0.22	1.61

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: 6.63%

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

Clustering coefficient 0.47 1.00 0.81 0.77 612.81 0.00 -168.38 0.15 0.19 4.07

Degree 2 206 49.88 9.00 37,556 MAX VALUE 2,072.58 69.20 1.39 3.77

Eccentricity 3 6 4.16 4.00 3,130 MAX VALUE 1,064.43 0.61 0.15 0.93

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.81	0.77	612.81	0.00	-168.38	0.15	0.19	4.07
Degree	2	206	49.88	9.00	37,556	MAX VALUE	2,072.58	69.20	1.39	3.77
Eccentricity	3	6	4.16	4.00	3,130	MAX VALUE	1,064.43	0.61	0.15	0.93

Incidence graph

Density: 0.48%
MCB compute time (ms): 994
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 5 4.04 4.00 3,203 MAX VALUE 1,105.54 0.26 0.06 0.28

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