Instance: rand-2-40-40-135-650-40_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:42
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 28 14.02 14.00 151,424 MAX VALUE 28,257.30 3.00 0.21 2.51
Relational linkage 0.10 0.42 0.26 0.25 411.75 0.00 -2,202.90 0.05 0.19 2.10
Tightness 0.63 0.67 0.65 0.65 87.68 0.00 -58.28 0.01 0.02 3.93
Tuples 521 597 560.83 561.00 75,712 MAX VALUE 854.40 18.09 0.03 3.93
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 12 6.75 7.00 270 4.74e+31 72.94 2.52 0.37 2.20
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: 13
Tree depth: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 2 35 11.92 11.00 286 1.24e+23 53.18 8.65 0.73 2.56
Cluster variables 3 17 8.21 7.50 197 4.41e+20 47.54 4.07 0.50 2.46
Separator constraints 0 29 6.29 4.00 151 0 None 7.26 1.15 2.33
Separator variables 0 16 6.54 6.00 157 0 None 3.88 0.59 2.51
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 16 160 64.05 60.00 2,434 MAX VALUE 150.65 38.73 0.60 3.49
Cluster variables 7 57 20.26 16.50 770 MAX VALUE 108.19 12.55 0.62 3.01
Separator constraints 0 87 40.29 37.00 1,531 0 None 22.61 0.56 3.31
Separator variables 0 44 16.71 14.50 635 0 None 9.62 0.58 3.04
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 1.00 0.22 0.17 8.61 0.00 None 0.21 0.97 2.87
Degree 2 12 6.75 7.00 270 4.74e+31 72.94 2.52 0.37 2.20
Eccentricity 3 4 3.17 3.00 127 9.11e+19 45.96 0.38 0.12 0.46
Triangulated primal graph
Density: 37.56%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.82 0.81 32.87 0.00 -8.53 0.15 0.18 2.79
Degree 2 28 14.65 13.50 586 MAX VALUE 96.21 9.02 0.62 2.86
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.98%
MCB compute time (ms): 337
MCB cycles: 863
Triangles: 2,013
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 0.85 0.52 0.50 70.09 0.00 -89.64 0.07 0.14 4.07
Degree 6 21 13.38 14.00 1,806 MAX VALUE 346.65 2.91 0.22 2.45
Eccentricity 3 4 3.36 3.00 453 MAX VALUE 162.12 0.48 0.14 0.65
MCB cycle size 3 5 3.18 3.00 2,747 MAX VALUE 992.33 0.44 0.14 0.51
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 75
MCB cycles: 96
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 5 3.41 3.00 460 MAX VALUE 162.70 0.67 0.20 1.01
Eccentricity 6 8 6.73 7.00 908 MAX VALUE 256.91 0.51 0.08 0.74
MCB cycle size 4 9 6.68 7.00 641 MAX VALUE 180.58 1.18 0.18 1.49
Triangulated dual graph
Density: 40.51%
Triangles: 62,664
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.82 0.78 110.47 0.00 -28.05 0.10 0.12 4.44
Degree 6 91 54.28 54.00 7,328 MAX VALUE 508.46 29.05 0.54 3.81
Eccentricity 2 3 2.44 2.00 330 MAX VALUE 117.90 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.78 0.72 105.46 0.00 -36.72 0.17 0.22 3.18
Degree 2 49 15.66 7.00 2,114 MAX VALUE 292.64 16.26 1.04 2.98
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): 89
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 12 3.09 2.00 540 MAX VALUE 166.51 2.33 0.75 0.96
Eccentricity 6 8 7.27 7.00 1,272 MAX VALUE 346.64 0.54 0.07 0.79
MCB cycle size 6 10 6.98 6.00 670 MAX VALUE 185.47 1.04 0.15 0.74