XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-90_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:16
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 86,756 MAX VALUE 23,692.80 0.85 0.12 1.15

Relational linkage 0.38 0.75 0.63 0.62 201.12 0.00 -151.58 0.08 0.13 1.01

Tightness 0.02 0.23 0.10 0.09 75.22 0.00 -1,797.87 0.04 0.38 2.28

Tuples 49 63 57.61 58.00 43,378 MAX VALUE 3,051.72 2.41 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 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.30 0.03 1.48

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	86,756	MAX VALUE	23,692.80	0.85	0.12	1.15
Relational linkage	0.38	0.75	0.63	0.62	201.12	0.00	-151.58	0.08	0.13	1.01
Tightness	0.02	0.23	0.10	0.09	75.22	0.00	-1,797.87	0.04	0.38	2.28
Tuples	49	63	57.61	58.00	43,378	MAX VALUE	3,051.72	2.41	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	34	39	37.65	38.00	1,506	MAX VALUE	145.11	1.30	0.03	1.48
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 580 650 615.75 616.50 2,463 1.43e+11 25.69 33.78 0.05 1.39

Cluster variables 35 37 36.00 36.00 144 1,677,020 14.33 1.00 0.03 0.69

Separator constraints 0 614 427.50 548.00 1,710 0 None 248.29 0.58 1.39

Separator variables 0 36 26.00 34.00 104 0 None 15.03 0.58 1.04

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	580	650	615.75	616.50	2,463	1.43e+11	25.69	33.78	0.05	1.39
Cluster variables	35	37	36.00	36.00	144	1,677,020	14.33	1.00	0.03	0.69
Separator constraints	0	614	427.50	548.00	1,710	0	None	248.29	0.58	1.39
Separator variables	0	36	26.00	34.00	104	0	None	15.03	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 1,186 11,768 3,032.53 1,520.00 115,236 MAX VALUE 295.29 2,565.11 0.85 2.98

Cluster variables 68 489 146.24 77.00 5,557 MAX VALUE 181.87 107.92 0.74 2.80

Separator constraints 0 6,448 2,305.39 1,444.00 87,605 0 None 1,481.64 0.64 2.95

Separator variables 0 361 126.42 76.00 4,804 0 None 82.09 0.65 2.76

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,186	11,768	3,032.53	1,520.00	115,236	MAX VALUE	295.29	2,565.11	0.85	2.98
Cluster variables	68	489	146.24	77.00	5,557	MAX VALUE	181.87	107.92	0.74	2.80
Separator constraints	0	6,448	2,305.39	1,444.00	87,605	0	None	1,481.64	0.64	2.95
Separator variables	0	361	126.42	76.00	4,804	0	None	82.09	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 0.98 0.97 0.96 38.65 0.25 -1.38 0.00 0.00 2.48

Degree 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.30 0.03 1.48

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	0.98	0.97	0.96	38.65	0.25	-1.38	0.00	0.00	2.48
Degree	34	39	37.65	38.00	1,506	MAX VALUE	145.11	1.30	0.03	1.48
Eccentricity	1	2	1.73	2.00	69	536,871,000	20.10	0.45	0.26	0.59

Triangulated primal graph

Density: 98.72%

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

Clustering coefficient 0.99 1.00 0.99 0.99 39.54 0.63 -0.46 0.00 0.00 0.80

Degree 34 39 38.50 39.00 1,540 MAX VALUE 146.01 1.16 0.03 0.80

Eccentricity 1 2 1.25 1.00 50 1,024 6.93 0.43 0.35 0.56

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	39.54	0.63	-0.46	0.00	0.00	0.80
Degree	34	39	38.50	39.00	1,540	MAX VALUE	146.01	1.16	0.03	0.80
Eccentricity	1	2	1.25	1.00	50	1,024	6.93	0.43	0.35	0.56

Dual graph

Density: 9.76%
MCB compute time (ms): 43,611
MCB cycles: 26,879
Triangles: 338,059
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 0.51 381.59 0.00 -511.82 0.00 0.00 2.30

Degree 67 76 73.39 74.00 55,262 MAX VALUE 3,234.51 1.73 0.02 1.89

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 80,637 MAX VALUE 29,529.60 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	381.59	0.00	-511.82	0.00	0.00	2.30
Degree	67	76	73.39	74.00	55,262	MAX VALUE	3,234.51	1.73	0.02	1.89
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	80,637	MAX VALUE	29,529.60	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 10,794
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 1,002.20 0.96 0.25 1.26

Eccentricity 9 15 11.92 12.00 8,976 MAX VALUE 1,862.36 1.18 0.10 1.58

MCB cycle size 3 10 6.09 6.00 4,350 MAX VALUE 1,274.53 1.24 0.20 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	1,002.20	0.96	0.25	1.26
Eccentricity	9	15	11.92	12.00	8,976	MAX VALUE	1,862.36	1.18	0.10	1.58
MCB cycle size	3	10	6.09	6.00	4,350	MAX VALUE	1,274.53	1.24	0.20	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: 6.71%

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

Clustering coefficient 0.47 1.00 0.81 0.77 612.21 0.00 -168.59 0.15 0.18 4.10

Degree 2 214 50.46 9.00 37,994 MAX VALUE 2,081.26 69.93 1.39 3.76

Eccentricity 3 6 4.24 4.00 3,194 MAX VALUE 1,079.92 0.61 0.14 0.92

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.81	0.77	612.21	0.00	-168.59	0.15	0.18	4.10
Degree	2	214	50.46	9.00	37,994	MAX VALUE	2,081.26	69.93	1.39	3.76
Eccentricity	3	6	4.24	4.00	3,194	MAX VALUE	1,079.92	0.61	0.14	0.92

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,065
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 3,218 MAX VALUE 1,108.80 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