XCSP 2.1 Benchmark Database

Instance: rand-2-40-16-250-350-54_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:09
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 10.36 10.00 82,894 MAX VALUE 18,558.20 1.91 0.18 2.06

Relational linkage 0.19 0.62 0.45 0.44 287.38 0.00 -522.49 0.08 0.17 1.61

Tightness 0.24 0.45 0.35 0.35 88.10 0.00 -261.68 0.03 0.09 3.34

Tuples 140 195 165.79 166.00 41,447 MAX VALUE 1,277.41 7.69 0.05 3.34

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

Constraints per subscope 8 21 12.50 12.00 500 MAX VALUE 100.28 2.49 0.20 2.16

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	10.36	10.00	82,894	MAX VALUE	18,558.20	1.91	0.18	2.06
Relational linkage	0.19	0.62	0.45	0.44	287.38	0.00	-522.49	0.08	0.17	1.61
Tightness	0.24	0.45	0.35	0.35	88.10	0.00	-261.68	0.03	0.09	3.34
Tuples	140	195	165.79	166.00	41,447	MAX VALUE	1,277.41	7.69	0.05	3.34
Domain size	16	16	16.00	16.00	640	MAX VALUE	110.90	0.00	0.00	0.00
Constraints per subscope	8	21	12.50	12.00	500	MAX VALUE	100.28	2.49	0.20	2.16
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: 15
Number of leaves: 7
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 17 112 47.60 40.00 714 1.46e+24 55.64 27.25 0.57 2.52

Cluster variables 9 26 15.80 16.00 237 4.07e+17 40.55 5.33 0.34 2.34

Separator constraints 0 83 30.93 21.00 464 0 None 23.07 0.75 2.62

Separator variables 0 23 13.13 12.00 197 0 None 5.77 0.44 2.34

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	17	112	47.60	40.00	714	1.46e+24	55.64	27.25	0.57	2.52
Cluster variables	9	26	15.80	16.00	237	4.07e+17	40.55	5.33	0.34	2.34
Separator constraints	0	83	30.93	21.00	464	0	None	23.07	0.75	2.62
Separator variables	0	23	13.13	12.00	197	0	None	5.77	0.44	2.34

Dual tree decomposition

Number of clusters: 38
Number of leaves: 18
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 82 810 267.50 195.50 10,165 MAX VALUE 204.66 187.02 0.70 3.56

Cluster variables 18 125 43.50 31.50 1,653 MAX VALUE 136.68 29.19 0.67 3.17

Separator constraints 0 445 188.58 156.50 7,166 0 None 108.08 0.57 3.46

Separator variables 0 99 36.92 29.00 1,403 0 None 22.24 0.60 3.22

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	82	810	267.50	195.50	10,165	MAX VALUE	204.66	187.02	0.70	3.56
Cluster variables	18	125	43.50	31.50	1,653	MAX VALUE	136.68	29.19	0.67	3.17
Separator constraints	0	445	188.58	156.50	7,166	0	None	108.08	0.57	3.46
Separator variables	0	99	36.92	29.00	1,403	0	None	22.24	0.60	3.22

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 0.23 0.44 0.30 0.30 12.05 0.00 -48.41 0.04 0.15 3.35

Degree 8 21 12.50 12.00 500 MAX VALUE 100.28 2.49 0.20 2.16

Eccentricity 2 3 2.20 2.00 88 2.82e+13 30.97 0.40 0.18 0.50

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.23	0.44	0.30	0.30	12.05	0.00	-48.41	0.04	0.15	3.35
Degree	8	21	12.50	12.00	500	MAX VALUE	100.28	2.49	0.20	2.16
Eccentricity	2	3	2.20	2.00	88	2.82e+13	30.97	0.40	0.18	0.50

Triangulated primal graph

Density: 66.92%

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

Clustering coefficient 0.71 1.00 0.87 0.85 34.66 0.00 -5.90 0.08 0.09 3.24

Degree 8 36 26.10 30.50 1,044 MAX VALUE 127.04 8.88 0.34 2.67

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	0.85	34.66	0.00	-5.90	0.08	0.09	3.24
Degree	8	36	26.10	30.50	1,044	MAX VALUE	127.04	8.88	0.34	2.67
Eccentricity	2	2	2.00	2.00	80	1.10e+12	27.73	0.00	0.00	0.00

Dual graph

Density: 9.64%
MCB compute time (ms): 2,862
MCB cycles: 3,327
Triangles: 11,883
Dot-file path: None
PDF-file path: None

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

Clustering coefficient 0.48 0.59 0.50 0.50 125.72 0.00 -171.98 0.02 0.03 4.46

Degree 17 37 23.99 23.00 5,998 MAX VALUE 791.69 3.64 0.15 2.61

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

MCB cycle size 3 5 3.12 3.00 10,387 MAX VALUE 3,771.75 0.33 0.11 0.37

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.48	0.59	0.50	0.50	125.72	0.00	-171.98	0.02	0.03	4.46
Degree	17	37	23.99	23.00	5,998	MAX VALUE	791.69	3.64	0.15	2.61
Eccentricity	3	3	3.00	3.00	750	MAX VALUE	274.65	0.00	0.00	0.00
MCB cycle size	3	5	3.12	3.00	10,387	MAX VALUE	3,771.75	0.33	0.11	0.37

Minimal dual graph

Density: 1.48%
MCB compute time (ms): 299
MCB cycles: 211

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 6 3.68 3.00 920 MAX VALUE 319.06 0.87 0.24 1.19

Eccentricity 6 8 7.22 7.00 1,805 MAX VALUE 493.47 0.55 0.08 0.82

MCB cycle size 4 9 6.71 7.00 1,416 MAX VALUE 398.90 1.05 0.16 1.45

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	6	3.68	3.00	920	MAX VALUE	319.06	0.87	0.24	1.19
Eccentricity	6	8	7.22	7.00	1,805	MAX VALUE	493.47	0.55	0.08	0.82
MCB cycle size	4	9	6.71	7.00	1,416	MAX VALUE	398.90	1.05	0.16	1.45

Triangulated dual graph

Density: 53.72%
Triangles: 702,262

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

Clustering coefficient 0.72 1.00 0.85 0.85 212.22 0.00 -42.03 0.08 0.09 4.72

Degree 17 203 133.76 154.00 33,440 MAX VALUE 1,184.22 57.39 0.43 4.10

Eccentricity 2 3 2.16 2.00 541 MAX VALUE 189.91 0.37 0.17 0.45

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.72	1.00	0.85	0.85	212.22	0.00	-42.03	0.08	0.09	4.72
Degree	17	203	133.76	154.00	33,440	MAX VALUE	1,184.22	57.39	0.43	4.10
Eccentricity	2	3	2.16	2.00	541	MAX VALUE	189.91	0.37	0.17	0.45

Triangulated minimal dual graph

Density: 10.99%

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

Clustering coefficient 0.46 1.00 0.81 0.76 202.38 0.00 -56.78 0.14 0.18 3.49

Degree 2 87 27.37 7.50 6,842 MAX VALUE 621.21 31.81 1.16 3.18

Eccentricity 3 5 3.79 4.00 948 MAX VALUE 330.52 0.55 0.14 0.81

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.46	1.00	0.81	0.76	202.38	0.00	-56.78	0.14	0.18	3.49
Degree	2	87	27.37	7.50	6,842	MAX VALUE	621.21	31.81	1.16	3.18
Eccentricity	3	5	3.79	4.00	948	MAX VALUE	330.52	0.55	0.14	0.81

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 21 3.45 2.00 1,000 MAX VALUE 273.56 3.74 1.08 0.70

Eccentricity 5 6 5.89 6.00 1,708 MAX VALUE 513.78 0.31 0.05 0.35

MCB cycle size 6 8 6.02 6.00 1,270 MAX VALUE 378.64 0.19 0.03 0.05

XCSP 2.1 Benchmarks