Instance: rand-2-40-80-103-800-18_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:59
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: 16,240
Number of unique subscopes: 37
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 3 31 16.02 16.00 260,237 MAX VALUE 44,622.40 3.59 0.22 2.69
Relational linkage 0.04 0.30 0.15 0.15 442.73 0.00 -5,685.60 0.03 0.20 2.28
Tightness 0.79 0.81 0.80 0.80 82.36 0.00 -23.03 0.00 0.01 4.19
Tuples 1,219 1,351 1,282.29 1,284.00 132,076 MAX VALUE 737.08 31.02 0.02 4.19
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 12 5.49 5.00 203 6.32e+25 59.41 2.38 0.43 2.14
Partitions per subscope 80 80 80.00 80.00 2,960 MAX VALUE 162.13 0.00 0.00 0.00
Tree decomposition
Number of clusters: 29
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 19 6.97 5.00 202 2.13e+20 46.81 5.47 0.79 2.32
Cluster variables 2 12 6.07 5.00 176 8.99e+20 48.25 3.17 0.52 2.14
Separator constraints 0 16 3.41 1.00 99 0 None 4.53 1.33 2.02
Separator variables 0 11 4.69 4.00 136 0 None 3.10 0.66 2.22
Dual tree decomposition
Number of clusters: 38
Number of leaves: 12
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 6 105 35.03 25.50 1,331 MAX VALUE 123.76 27.40 0.78 3.37
Cluster variables 5 40 13.87 10.50 527 MAX VALUE 93.53 8.73 0.63 2.81
Separator constraints 0 60 20.29 14.50 771 0 None 16.77 0.83 3.21
Separator variables 0 29 11.16 9.00 424 0 None 6.81 0.61 2.76
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 0.67 None 0.15 None None None None None 2.93
Degree 1 12 5.15 5.00 206 6.32e+25 59.41 2.57 0.50 2.24
Eccentricity 3 5 3.88 4.00 155 2.22e+23 53.76 0.56 0.14 0.83
Triangulated primal graph
Density: 25.90%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 1.00 None 0.75 None None None None None 3.09
Degree 1 26 10.10 7.50 404 7.47e+33 78.00 7.26 0.72 2.80
Eccentricity 2 4 3.25 3.00 130 1.92e+20 46.70 0.49 0.15 0.70
Dual graph
Density: 10.66%
MCB compute time (ms): 143
MCB cycles: 480
Triangles: 1,086
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.53 0.50 54.92 0.00 -66.51 0.11 0.21 3.74
Degree 4 20 10.87 10.00 1,120 MAX VALUE 239.46 3.66 0.34 2.62
Eccentricity 3 4 3.73 4.00 384 MAX VALUE 134.73 0.44 0.12 0.59
MCB cycle size 3 6 3.16 3.00 1,515 MAX VALUE 547.77 0.45 0.14 0.45
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 22
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 118.35 0.65 0.20 0.99
Eccentricity 6 8 6.95 7.00 716 MAX VALUE 199.41 0.53 0.08 0.79
MCB cycle size 4 9 6.81 7.00 436 MAX VALUE 121.60 1.25 0.18 1.57
Triangulated dual graph
Density: 34.36%
Triangles: 20,352
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.81 0.77 82.94 0.00 -23.20 0.11 0.13 4.23
Degree 4 66 35.05 36.00 3,610 MAX VALUE 338.09 20.94 0.60 3.73
Eccentricity 2 4 2.86 3.00 295 MAX VALUE 107.01 0.44 0.15 0.62
Triangulated minimal dual graph
Density: 11.80%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.41 1.00 0.75 0.69 77.75 0.00 -32.07 0.19 0.25 2.92
Degree 2 35 12.04 5.00 1,240 MAX VALUE 206.50 11.72 0.97 2.74
Eccentricity 3 5 3.80 4.00 391 MAX VALUE 136.36 0.53 0.14 0.78
Incidence graph
Density: 2.03%
MCB compute time (ms): 28
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 0.47
Degree 1 12 2.88 2.00 412 MAX VALUE 130.80 1.96 0.68 1.12
Eccentricity 6 10 8.04 8.00 1,150 MAX VALUE 297.36 0.82 0.10 1.21
MCB cycle size 6 10 7.28 8.00 466 MAX VALUE 126.14 1.24 0.17 0.91