Instance: rand-2-40-80-103-800-14_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:58:06
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: 16,320
Number of unique subscopes: 38
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 4 31 16.05 16.00 261,897 MAX VALUE 44,866.00 3.59 0.22 2.69
Relational linkage 0.05 0.26 0.15 0.15 458.14 0.00 -5,818.14 0.03 0.20 2.30
Tightness 0.79 0.81 0.80 0.80 82.34 0.00 -23.06 0.00 0.01 4.18
Tuples 1,202 1,367 1,283.65 1,285.00 132,216 MAX VALUE 737.19 31.60 0.02 4.18
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 5.37 5.00 204 2.74e+26 60.88 2.04 0.38 2.03
Partitions per subscope 80 80 80.00 80.00 3,040 MAX VALUE 166.52 0.00 0.00 0.00
Tree decomposition
Number of clusters: 28
Number of leaves: 12
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 1 14 6.21 5.50 174 1.23e+19 43.96 4.07 0.66 2.43
Cluster variables 2 13 6.61 6.00 185 3.22e+21 49.52 3.06 0.46 2.36
Separator constraints 0 10 2.54 1.00 71 0 None 3.12 1.23 1.82
Separator variables 0 11 5.18 5.00 145 0 None 2.98 0.57 2.36
Dual tree decomposition
Number of clusters: 38
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 79 31.58 27.00 1,200 MAX VALUE 122.05 20.59 0.65 3.16
Cluster variables 5 38 13.87 11.50 527 MAX VALUE 94.21 8.09 0.58 2.87
Separator constraints 0 54 17.76 14.50 675 0 None 12.22 0.69 3.08
Separator variables 0 26 11.16 9.50 424 0 None 6.23 0.56 2.78
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 0.30 None 0.07 None None None None None 2.33
Degree 1 10 5.15 5.00 206 2.74e+26 60.88 2.21 0.43 2.13
Eccentricity 3 4 3.67 4.00 147 2.87e+22 51.71 0.47 0.13 0.63
Triangulated primal graph
Density: 28.59%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 None 0.76 None None None None None 3.25
Degree 1 25 11.15 9.50 446 1.80e+36 83.48 7.60 0.68 2.95
Eccentricity 2 4 3.10 3.00 124 2.70e+19 44.74 0.49 0.16 0.72
Dual graph
Density: 9.99%
MCB compute time (ms): 141
MCB cycles: 444
Triangles: 887
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 1.00 0.50 0.49 52.00 0.00 -71.78 0.09 0.18 3.57
Degree 4 17 10.19 10.00 1,050 MAX VALUE 234.05 3.01 0.29 2.47
Eccentricity 3 4 3.82 4.00 393 MAX VALUE 137.32 0.39 0.10 0.48
MCB cycle size 3 5 3.18 3.00 1,411 MAX VALUE 509.48 0.47 0.15 0.49
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 28
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 5 3.22 3.00 332 MAX VALUE 118.40 0.65 0.20 0.98
Eccentricity 6 8 6.70 7.00 690 MAX VALUE 195.47 0.62 0.09 0.92
MCB cycle size 4 9 6.91 7.00 442 MAX VALUE 122.50 1.25 0.18 1.55
Triangulated dual graph
Density: 33.20%
Triangles: 18,308
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.62 1.00 0.80 0.79 82.27 0.00 -24.26 0.12 0.15 4.21
Degree 4 61 33.86 35.00 3,488 MAX VALUE 336.32 19.97 0.59 3.58
Eccentricity 2 3 2.63 3.00 271 MAX VALUE 97.75 0.48 0.18 0.66
Triangulated minimal dual graph
Density: 12.34%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.77 0.67 78.87 0.00 -30.55 0.19 0.24 2.88
Degree 2 38 12.58 6.00 1,296 MAX VALUE 209.05 12.38 0.98 2.76
Eccentricity 3 5 3.82 4.00 393 MAX VALUE 136.87 0.54 0.14 0.79
Incidence graph
Density: 2.03%
MCB compute time (ms): 37
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 None 0.00 None None None None None 0.57
Degree 1 10 2.88 2.00 412 MAX VALUE 132.27 1.83 0.64 1.12
Eccentricity 6 9 8.03 8.00 1,149 MAX VALUE 297.41 0.71 0.09 1.06
MCB cycle size 6 10 7.56 8.00 484 MAX VALUE 128.67 1.20 0.16 0.89