Instance: rand-2-40-16-250-350-78_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:04
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



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 4 16 10.37 10.00 82,972 MAX VALUE 18,566.60 1.91 0.18 2.06
Relational linkage 0.25 0.69 0.45 0.44 289.94 0.00 -516.61 0.08 0.17 1.62
Tightness 0.28 0.45 0.35 0.36 87.95 0.00 -262.06 0.03 0.08 3.33
Tuples 141 184 165.94 165.00 41,486 MAX VALUE 1,277.66 7.49 0.05 3.33
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 3 20 12.50 12.50 500 MAX VALUE 99.42 3.12 0.25 2.35
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: 17
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 4 102 48.47 36.00 824 6.33e+26 61.71 29.59 0.61 2.67
Cluster variables 4 24 15.06 14.00 256 2.15e+19 44.52 5.89 0.39 2.51
Separator constraints 0 93 33.76 25.00 574 0 None 26.87 0.80 2.83
Separator variables 0 23 12.71 11.00 216 0 None 6.30 0.50 2.59
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
Tree depth: 6
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 49 878 269.26 210.50 10,232 MAX VALUE 203.60 197.56 0.73 3.60
Cluster variables 12 133 42.68 31.50 1,622 MAX VALUE 135.65 29.13 0.68 3.30
Separator constraints 0 485 188.47 163.00 7,162 0 None 117.68 0.62 3.56
Separator variables 0 98 36.11 28.50 1,372 0 None 22.24 0.62 3.37
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 0.19 0.45 0.33 0.31 13.01 0.00 -45.64 0.06 0.19 3.39
Degree 3 20 12.50 12.50 500 MAX VALUE 99.42 3.12 0.25 2.35
Eccentricity 2 3 2.40 2.00 96 7.22e+14 34.21 0.49 0.20 0.67
Triangulated primal graph
Density: 63.08%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.86 0.84 34.48 0.00 -6.16 0.09 0.10 3.35
Degree 3 35 24.60 29.00 984 MAX VALUE 123.38 9.33 0.38 2.88
Eccentricity 2 3 2.12 2.00 85 8.35e+12 29.75 0.33 0.16 0.38
Dual graph
Density: 9.86%
MCB compute time (ms): 3,039
MCB cycles: 3,099
Triangles: 12,568
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 0.80 0.51 0.50 127.14 0.00 -169.51 0.03 0.07 4.55
Degree 11 35 24.56 25.00 6,140 MAX VALUE 796.84 3.97 0.16 2.75
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.08 3.00 9,530 MAX VALUE 3,471.56 0.26 0.09 0.27
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 369
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.97 0.00 None 0.02 5.44 0.19
Degree 2 6 3.68 4.00 920 MAX VALUE 320.15 0.79 0.21 1.13
Eccentricity 6 9 7.13 7.00 1,783 MAX VALUE 490.38 0.56 0.08 0.84
MCB cycle size 3 9 6.75 7.00 1,425 MAX VALUE 398.91 1.25 0.18 1.60
Triangulated dual graph
Density: 52.86%
Triangles: 692,548
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.85 0.81 212.62 0.00 -41.41 0.07 0.09 4.82
Degree 11 195 131.62 168.00 32,906 MAX VALUE 1,176.44 58.74 0.45 4.07
Eccentricity 2 3 2.26 2.00 566 MAX VALUE 200.05 0.44 0.19 0.58
Triangulated minimal dual graph
Density: 11.37%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.82 0.77 204.18 0.00 -54.56 0.14 0.18 3.49
Degree 2 88 28.32 8.00 7,080 MAX VALUE 628.19 32.67 1.15 3.21
Eccentricity 3 5 4.04 4.00 1,011 MAX VALUE 346.70 0.57 0.14 0.86
Incidence graph
Density: 1.19%
MCB compute time (ms): 234
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 20 3.45 2.00 1,000 MAX VALUE 272.70 3.80 1.10 0.73
Eccentricity 5 7 5.94 6.00 1,724 MAX VALUE 516.47 0.33 0.06 0.41
MCB cycle size 6 8 6.05 6.00 1,276 MAX VALUE 379.50 0.30 0.05 0.11