Instance: rand-2-40-40-135-650-91_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:34
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Number of coarse blocks: 10,800
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 3 26 14.04 14.00 151,580 MAX VALUE 28,260.30 3.03 0.22 2.53
Relational linkage 0.07 0.40 0.25 0.25 407.50 0.00 -2,219.44 0.05 0.19 2.08
Tightness 0.62 0.68 0.65 0.65 87.63 0.00 -58.36 0.01 0.02 3.82
Tuples 514 607 561.41 561.00 75,790 MAX VALUE 854.55 17.18 0.03 3.82
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 11 6.75 7.00 270 2.07e+32 74.41 2.01 0.30 2.04
Partitions per subscope 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 23
Number of leaves: 12
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 3 30 11.87 10.00 273 2.25e+22 51.47 7.96 0.67 2.61
Cluster variables 4 18 9.26 7.00 213 1.15e+21 48.49 4.56 0.49 2.34
Separator constraints 0 24 6.00 3.00 138 0 None 6.95 1.16 2.31
Separator variables 0 17 7.52 6.00 173 0 None 4.46 0.59 2.43
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 13 127 59.53 50.50 2,262 MAX VALUE 148.68 32.69 0.55 3.26
Cluster variables 7 55 20.34 16.00 773 MAX VALUE 108.68 12.10 0.59 2.99
Separator constraints 0 68 36.97 38.00 1,405 0 None 19.22 0.52 3.31
Separator variables 0 39 16.79 14.00 638 0 None 9.11 0.54 2.98
Primal graph
Density: 17.31%
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 0.47 0.13 0.12 5.01 0.00 None 0.10 0.79 2.69
Degree 3 11 6.75 7.00 270 2.07e+32 74.41 2.01 0.30 2.04
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 41.79%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.62 1.00 0.82 0.81 32.93 0.00 -8.34 0.14 0.17 2.91
Degree 3 28 16.30 18.00 652 MAX VALUE 102.12 9.23 0.57 2.83
Eccentricity 2 3 2.45 2.00 98 1.62e+15 35.02 0.50 0.20 0.69
Dual graph
Density: 9.47%
MCB compute time (ms): 268
MCB cycles: 753
Triangles: 1,740
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 0.70 0.50 0.49 67.26 0.00 -94.54 0.04 0.09 3.65
Degree 6 19 12.70 13.00 1,714 MAX VALUE 340.16 2.53 0.20 2.32
Eccentricity 3 4 3.18 3.00 429 MAX VALUE 155.22 0.38 0.12 0.47
MCB cycle size 3 5 3.13 3.00 2,356 MAX VALUE 854.51 0.37 0.12 0.40
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 42
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.83 0.00 None 0.04 6.90 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.39 0.71 0.21 1.08
Eccentricity 6 8 6.67 7.00 901 MAX VALUE 255.85 0.51 0.08 0.74
MCB cycle size 3 8 6.95 7.00 667 MAX VALUE 184.66 1.07 0.15 1.29
Triangulated dual graph
Density: 40.28%
Triangles: 60,447
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.82 0.80 110.10 0.00 -28.68 0.11 0.13 4.34
Degree 6 90 53.97 57.00 7,286 MAX VALUE 509.28 28.28 0.52 3.78
Eccentricity 2 3 2.38 2.00 321 MAX VALUE 114.25 0.48 0.20 0.66
Triangulated minimal dual graph
Density: 11.31%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.78 0.72 105.34 0.00 -36.86 0.17 0.22 2.99
Degree 2 49 15.16 6.00 2,046 MAX VALUE 286.74 16.04 1.06 2.96
Eccentricity 3 5 3.76 4.00 508 MAX VALUE 177.56 0.52 0.14 0.76
Incidence graph
Density: 1.77%
MCB compute time (ms): 51
MCB cycles: 96
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 11 3.09 2.00 540 MAX VALUE 167.99 2.21 0.72 1.00
Eccentricity 6 8 7.05 7.00 1,233 MAX VALUE 341.23 0.50 0.07 0.73
MCB cycle size 6 10 7.27 8.00 698 MAX VALUE 189.30 1.12 0.15 0.83