Instance: rand-2-40-80-103-800-23_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:58
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 103
General features
Number of coarse blocks: 16,480
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 206 1.01e+31 71.39 0.00 0.00 0.00
Coarse blocks size 5 30 16.05 16.00 264,540 MAX VALUE 45,315.20 3.57 0.22 2.69
Relational linkage 0.06 0.28 0.15 0.15 484.68 0.00 -6,107.41 0.03 0.20 2.30
Tightness 0.79 0.81 0.80 0.80 82.33 0.00 -23.07 0.01 0.01 4.08
Tuples 1,198 1,358 1,284.17 1,284.00 132,270 MAX VALUE 737.23 33.83 0.03 4.08
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 10 5.15 5.50 206 1.06e+27 62.23 1.90 0.37 1.90
Partitions per subscope 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Tree decomposition
Number of clusters: 27
Number of leaves: 13
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 2 17 6.04 5.00 163 3.15e+18 42.59 4.21 0.70 2.29
Cluster variables 3 14 6.74 6.00 182 8.24e+20 48.16 3.47 0.51 2.17
Separator constraints 0 13 2.22 1.00 60 0 None 3.46 1.56 1.60
Separator variables 0 13 5.26 5.00 142 0 None 3.33 0.63 2.24
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 6 72 30.29 28.50 1,151 MAX VALUE 122.62 17.00 0.56 3.15
Cluster variables 5 36 13.89 11.00 528 MAX VALUE 94.90 7.77 0.56 2.80
Separator constraints 0 38 17.13 16.00 651 0 None 10.03 0.59 3.08
Separator variables 0 27 11.18 9.50 425 0 None 5.94 0.53 2.82
Primal graph
Density: 13.21%
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 0.11 0.10 4.24 0.00 None 0.10 0.94 2.31
Degree 2 10 5.15 5.50 206 1.06e+27 62.23 1.90 0.37 1.90
Eccentricity 3 5 3.70 4.00 148 3.37e+22 51.87 0.56 0.15 0.82
Triangulated primal graph
Density: 29.87%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.80 0.78 31.96 0.00 -9.93 0.17 0.21 2.70
Degree 2 24 11.65 9.50 466 1.29e+37 85.45 7.94 0.68 2.78
Eccentricity 2 3 2.62 3.00 105 2.78e+16 37.86 0.48 0.18 0.66
Dual graph
Density: 9.52%
MCB compute time (ms): 124
MCB cycles: 456
Triangles: 769
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 0.75 0.50 0.48 51.60 0.00 -72.14 0.07 0.14 3.14
Degree 4 16 9.71 10.00 1,000 MAX VALUE 230.41 2.50 0.26 2.24
Eccentricity 3 5 3.90 4.00 402 MAX VALUE 139.72 0.38 0.10 0.51
MCB cycle size 3 6 3.32 3.00 1,513 MAX VALUE 539.74 0.65 0.20 0.71
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 40
MCB cycles: 64
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 4 3.22 3.00 332 MAX VALUE 118.71 0.59 0.18 0.88
Eccentricity 6 7 6.63 7.00 683 MAX VALUE 194.57 0.48 0.07 0.66
MCB cycle size 4 10 6.97 7.00 446 MAX VALUE 122.95 1.33 0.19 1.64
Triangulated dual graph
Density: 32.67%
Triangles: 17,667
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.80 0.76 82.04 0.00 -24.60 0.12 0.15 4.08
Degree 4 61 33.32 31.00 3,432 MAX VALUE 335.14 19.77 0.59 3.54
Eccentricity 2 4 3.02 3.00 311 MAX VALUE 113.14 0.34 0.11 0.44
Triangulated minimal dual graph
Density: 12.72%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.77 0.70 79.16 0.00 -30.06 0.18 0.24 2.91
Degree 2 39 12.97 6.00 1,336 MAX VALUE 212.32 12.58 0.97 2.88
Eccentricity 3 5 3.70 4.00 381 MAX VALUE 133.61 0.54 0.15 0.79
Incidence graph
Density: 2.03%
MCB compute time (ms): 41
MCB cycles: 64
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 10 2.88 2.00 412 MAX VALUE 133.62 1.74 0.60 0.98
Eccentricity 7 10 8.08 8.00 1,155 MAX VALUE 298.17 0.72 0.09 1.07
MCB cycle size 6 12 7.72 8.00 494 MAX VALUE 129.74 1.41 0.18 1.04