Instance: rand-2-40-40-135-650-53_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:36
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 4 26 14.00 14.00 151,206 MAX VALUE 28,236.70 3.01 0.21 2.52
Relational linkage 0.10 0.38 0.25 0.25 404.90 0.00 -2,228.23 0.05 0.18 2.04
Tightness 0.61 0.68 0.65 0.65 87.75 0.00 -58.18 0.01 0.02 3.99
Tuples 512 616 560.02 559.00 75,603 MAX VALUE 854.20 19.23 0.03 3.99
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 4 11 6.75 6.50 270 3.50e+32 74.94 1.81 0.27 1.92
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: 24
Number of leaves: 12
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 5 29 12.38 7.50 297 1.96e+24 55.93 7.89 0.64 2.33
Cluster variables 5 17 9.46 8.00 227 2.69e+22 51.65 4.24 0.45 2.16
Separator constraints 0 23 6.75 2.50 162 0 None 7.62 1.13 2.22
Separator variables 0 16 7.79 6.50 187 0 None 4.26 0.55 2.22
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 16 154 58.84 48.00 2,236 MAX VALUE 148.23 34.87 0.59 3.40
Cluster variables 8 55 20.03 16.00 761 MAX VALUE 108.53 11.68 0.58 2.90
Separator constraints 0 85 36.68 31.50 1,394 0 None 21.55 0.59 3.33
Separator variables 0 41 16.47 15.00 626 0 None 8.87 0.54 2.84
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 0.33 0.16 0.14 6.57 0.00 None 0.08 0.50 2.82
Degree 4 11 6.75 6.50 270 3.50e+32 74.94 1.81 0.27 1.92
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 41.41%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.61 1.00 0.82 0.77 32.63 0.00 -8.72 0.14 0.17 2.87
Degree 4 28 16.15 19.00 646 MAX VALUE 102.64 8.94 0.55 2.78
Eccentricity 2 3 2.42 2.00 97 1.08e+15 34.62 0.49 0.20 0.68
Dual graph
Density: 9.31%
MCB compute time (ms): 190
MCB cycles: 798
Triangles: 1,672
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 0.59 0.49 0.49 66.37 0.00 -96.16 0.03 0.07 3.73
Degree 7 19 12.47 12.00 1,684 MAX VALUE 337.54 2.66 0.21 2.35
Eccentricity 3 4 3.55 4.00 479 MAX VALUE 169.60 0.50 0.14 0.69
MCB cycle size 3 5 3.22 3.00 2,570 MAX VALUE 924.94 0.51 0.16 0.56
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 41
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.67 0.00 None 0.03 7.04 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.62 0.69 0.20 1.04
Eccentricity 6 8 6.64 7.00 897 MAX VALUE 255.26 0.51 0.08 0.73
MCB cycle size 3 9 6.68 7.00 641 MAX VALUE 180.89 1.08 0.16 1.44
Triangulated dual graph
Density: 38.61%
Triangles: 56,152
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.81 0.79 109.58 0.00 -29.31 0.11 0.13 4.28
Degree 7 89 51.73 60.00 6,984 MAX VALUE 503.01 28.01 0.54 3.69
Eccentricity 2 3 2.53 3.00 341 MAX VALUE 122.36 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.75%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.77 0.71 104.00 0.00 -38.45 0.17 0.22 3.11
Degree 2 49 15.75 6.00 2,126 MAX VALUE 295.60 16.10 1.02 3.05
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): 57
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 168.51 2.17 0.70 0.98
Eccentricity 6 8 7.35 7.00 1,287 MAX VALUE 348.52 0.62 0.08 0.92
MCB cycle size 6 10 7.06 8.00 678 MAX VALUE 186.62 1.04 0.15 0.74