XCSP 2.1 Benchmark Database

Instance: rand-2-40-16-250-350-21_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:53
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 40
Number of constraints: 250

General features

Number of coarse blocks: 8,000
Number of unique subscopes: 40

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

Arity 2 2 2.00 2.00 500 MAX VALUE 173.29 0.00 0.00 0.00

Coarse blocks size 3 16 10.42 10.00 83,380 MAX VALUE 18,606.90 1.91 0.18 2.06

Relational linkage 0.19 0.69 0.45 0.44 290.06 0.00 -516.23 0.08 0.17 1.60

Tightness 0.26 0.43 0.35 0.35 87.15 0.00 -264.33 0.03 0.08 3.35

Tuples 146 189 166.76 167.00 41,690 MAX VALUE 1,278.89 7.41 0.04 3.35

Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00

Constraints per subscope 8 19 12.50 13.00 500 MAX VALUE 100.05 2.77 0.22 2.06

Partitions per subscope 16 16 16.00 16.00 640 MAX VALUE 110.90 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	500	MAX VALUE	173.29	0.00	0.00	0.00
Coarse blocks size	3	16	10.42	10.00	83,380	MAX VALUE	18,606.90	1.91	0.18	2.06
Relational linkage	0.19	0.69	0.45	0.44	290.06	0.00	-516.23	0.08	0.17	1.60
Tightness	0.26	0.43	0.35	0.35	87.15	0.00	-264.33	0.03	0.08	3.35
Tuples	146	189	166.76	167.00	41,690	MAX VALUE	1,278.89	7.41	0.04	3.35
Domain size	16	16	16.00	16.00	640	MAX VALUE	110.90	0.00	0.00	0.00
Constraints per subscope	8	19	12.50	13.00	500	MAX VALUE	100.05	2.77	0.22	2.06
Partitions per subscope	16	16	16.00	16.00	640	MAX VALUE	110.90	0.00	0.00	0.00

Tree decomposition

Number of clusters: 16
Number of leaves: 9
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 16 111 49.69 32.50 795 3.60e+25 58.85 33.27 0.67 2.69

Cluster variables 9 25 15.25 12.00 244 2.57e+18 42.39 6.01 0.39 2.17

Separator constraints 0 103 34.06 20.00 545 0 None 30.67 0.90 2.69

Separator variables 0 24 12.75 10.50 204 0 None 6.37 0.50 2.25

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	16	111	49.69	32.50	795	3.60e+25	58.85	33.27	0.67	2.69
Cluster variables	9	25	15.25	12.00	244	2.57e+18	42.39	6.01	0.39	2.17
Separator constraints	0	103	34.06	20.00	545	0	None	30.67	0.90	2.69
Separator variables	0	24	12.75	10.50	204	0	None	6.37	0.50	2.25

Dual tree decomposition

Number of clusters: 38
Number of leaves: 17
Tree depth: 5
Dot-file path: None
PDF-file path: None

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

Cluster constraints 65 797 265.97 202.00 10,107 MAX VALUE 204.13 183.36 0.69 3.56

Cluster variables 16 127 42.84 31.50 1,628 MAX VALUE 136.18 28.24 0.66 3.22

Separator constraints 0 425 186.29 161.00 7,079 0 None 105.54 0.57 3.56

Separator variables 0 95 36.26 28.00 1,378 0 None 21.31 0.59 3.23

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	65	797	265.97	202.00	10,107	MAX VALUE	204.13	183.36	0.69	3.56
Cluster variables	16	127	42.84	31.50	1,628	MAX VALUE	136.18	28.24	0.66	3.22
Separator constraints	0	425	186.29	161.00	7,079	0	None	105.54	0.57	3.56
Separator variables	0	95	36.26	28.00	1,378	0	None	21.31	0.59	3.23

Primal graph

Density: 32.05%
Dot-file path: None
PDF-file path: None

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

Clustering coefficient 0.22 0.44 0.33 0.32 13.07 0.00 -45.14 0.05 0.14 3.35

Degree 8 19 12.50 13.00 500 MAX VALUE 100.05 2.77 0.22 2.06

Eccentricity 2 3 2.15 2.00 86 1.25e+13 30.16 0.36 0.17 0.42

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.22	0.44	0.33	0.32	13.07	0.00	-45.14	0.05	0.14	3.35
Degree	8	19	12.50	13.00	500	MAX VALUE	100.05	2.77	0.22	2.06
Eccentricity	2	3	2.15	2.00	86	1.25e+13	30.16	0.36	0.17	0.42

Triangulated primal graph

Density: 64.62%

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

Clustering coefficient 0.71 1.00 0.87 0.84 34.71 0.00 -5.87 0.09 0.10 3.04

Degree 8 35 25.20 30.00 1,008 MAX VALUE 124.89 9.36 0.37 2.58

Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.71	1.00	0.87	0.84	34.71	0.00	-5.87	0.09	0.10	3.04
Degree	8	35	25.20	30.00	1,008	MAX VALUE	124.89	9.36	0.37	2.58
Eccentricity	2	2	2.00	2.00	80	1.10e+12	27.73	0.00	0.00	0.00

Dual graph

Density: 9.73%
MCB compute time (ms): 2,463
MCB cycles: 3,743
Triangles: 12,211
Dot-file path: None
PDF-file path: None

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

Clustering coefficient 0.47 0.58 0.51 0.50 126.77 0.00 -169.96 0.02 0.04 4.41

Degree 15 34 24.22 24.00 6,056 MAX VALUE 793.76 3.78 0.16 2.68

Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00

MCB cycle size 3 5 3.15 3.00 11,781 MAX VALUE 4,270.84 0.36 0.11 0.42

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	0.58	0.51	0.50	126.77	0.00	-169.96	0.02	0.04	4.41
Degree	15	34	24.22	24.00	6,056	MAX VALUE	793.76	3.78	0.16	2.68
Eccentricity	3	3	3.00	3.00	750	MAX VALUE	274.65	0.00	0.00	0.00
MCB cycle size	3	5	3.15	3.00	11,781	MAX VALUE	4,270.84	0.36	0.11	0.42

Minimal dual graph

Density: 1.48%
MCB compute time (ms): 336
MCB cycles: 211

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

Clustering coefficient 0.00 0.33 0.00 0.00 1.17 0.00 None 0.03 7.26 0.15

Degree 2 6 3.68 4.00 920 MAX VALUE 319.04 0.85 0.23 1.21

Eccentricity 6 8 7.11 7.00 1,777 MAX VALUE 489.53 0.56 0.08 0.84

MCB cycle size 3 9 6.73 7.00 1,419 MAX VALUE 398.83 1.11 0.16 1.46

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.00	0.00	1.17	0.00	None	0.03	7.26	0.15
Degree	2	6	3.68	4.00	920	MAX VALUE	319.04	0.85	0.23	1.21
Eccentricity	6	8	7.11	7.00	1,777	MAX VALUE	489.53	0.56	0.08	0.84
MCB cycle size	3	9	6.73	7.00	1,419	MAX VALUE	398.83	1.11	0.16	1.46

Triangulated dual graph

Density: 52.32%
Triangles: 662,957

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

Clustering coefficient 0.72 1.00 0.84 0.82 210.93 0.00 -43.62 0.08 0.10 4.80

Degree 15 193 130.29 156.00 32,572 MAX VALUE 1,177.09 56.81 0.44 4.13

Eccentricity 2 3 2.16 2.00 539 MAX VALUE 189.10 0.36 0.17 0.43

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.72	1.00	0.84	0.82	210.93	0.00	-43.62	0.08	0.10	4.80
Degree	15	193	130.29	156.00	32,572	MAX VALUE	1,177.09	56.81	0.44	4.13
Eccentricity	2	3	2.16	2.00	539	MAX VALUE	189.10	0.36	0.17	0.43

Triangulated minimal dual graph

Density: 11.18%

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

Clustering coefficient 0.51 1.00 0.82 0.78 204.51 0.00 -53.96 0.14 0.17 3.50

Degree 2 86 27.83 7.00 6,958 MAX VALUE 618.30 32.81 1.18 3.13

Eccentricity 3 5 3.74 4.00 936 MAX VALUE 327.58 0.51 0.14 0.75

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.51	1.00	0.82	0.78	204.51	0.00	-53.96	0.14	0.17	3.50
Degree	2	86	27.83	7.00	6,958	MAX VALUE	618.30	32.81	1.18	3.13
Eccentricity	3	5	3.74	4.00	936	MAX VALUE	327.58	0.51	0.14	0.75

Incidence graph

Density: 1.19%
MCB compute time (ms): 231
MCB cycles: 211
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 19 3.45 2.00 1,000 MAX VALUE 273.34 3.76 1.09 0.69

Eccentricity 5 6 5.88 6.00 1,706 MAX VALUE 513.41 0.32 0.05 0.36

MCB cycle size 6 8 6.03 6.00 1,272 MAX VALUE 378.92 0.24 0.04 0.07

XCSP 2.1 Benchmarks