Instance: rand-2-40-180-84-900-40_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:15
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 84
General features
Number of coarse blocks: 29,340
Number of unique subscopes: 35
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 168 1.93e+25 58.22 0.00 0.00 0.00
Coarse blocks size 3 36 18.00 18.00 527,994 MAX VALUE 84,019.30 4.04 0.22 2.81
Relational linkage 0.02 0.14 0.08 0.08 484.20 0.00 -16,300.90 0.02 0.20 2.45
Tightness 0.90 0.90 0.90 0.90 75.60 0.00 -8.85 0.00 0.00 4.17
Tuples 3,118 3,347 3,239.36 3,237.50 272,106 MAX VALUE 678.97 50.74 0.02 4.17
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 11 4.66 4.00 163 7.73e+21 50.40 2.12 0.46 1.94
Partitions per subscope 180 180 180.00 180.00 6,300 MAX VALUE 181.75 0.00 0.00 0.00
Tree decomposition
Number of clusters: 30
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 1 13 3.97 3.50 119 1.32e+15 34.82 2.68 0.67 2.00
Cluster variables 2 11 4.63 4.00 139 3.50e+18 42.70 2.24 0.48 1.92
Separator constraints 0 6 1.17 0.50 35 0 None 1.67 1.44 1.39
Separator variables 0 8 3.30 3.00 99 0 None 2.00 0.61 1.92
Dual tree decomposition
Number of clusters: 37
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 3 65 21.41 19.00 792 MAX VALUE 105.35 13.72 0.64 3.15
Cluster variables 3 28 10.73 8.00 397 9.73e+35 82.87 5.86 0.55 2.64
Separator constraints 0 34 11.22 9.00 415 0 None 7.82 0.70 2.95
Separator variables 0 20 8.46 7.00 313 0 None 4.56 0.54 2.53
Primal graph
Density: 10.77%
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 None 0.10 None None None None None 2.37
Degree 1 11 4.20 4.00 168 7.73e+21 50.40 2.33 0.55 2.08
Eccentricity 3 5 4.22 4.00 169 7.92e+24 57.33 0.52 0.12 0.77
Triangulated primal graph
Density: 19.74%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 1.00 None 0.77 None None None None None 3.17
Degree 1 24 7.70 5.00 308 2.12e+28 65.22 6.38 0.83 2.56
Eccentricity 3 5 3.75 4.00 150 5.26e+22 52.32 0.62 0.17 0.93
Dual graph
Density: 10.81%
MCB compute time (ms): 48
MCB cycles: 314
Triangles: 620
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 0.56 0.50 47.19 0.00 -50.99 0.15 0.27 3.24
Degree 2 16 8.98 9.00 754 MAX VALUE 179.03 3.03 0.34 2.45
Eccentricity 3 5 3.92 4.00 329 MAX VALUE 114.31 0.35 0.09 0.45
MCB cycle size 3 5 3.22 3.00 1,012 MAX VALUE 363.94 0.54 0.17 0.56
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 16
MCB cycles: 45
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.67 0.00 None 0.04 5.52 0.18
Degree 2 4 3.05 3.00 256 MAX VALUE 91.90 0.60 0.20 0.90
Eccentricity 6 8 6.83 7.00 574 MAX VALUE 161.11 0.59 0.09 0.89
MCB cycle size 3 10 7.11 7.00 320 6.37e+37 87.05 1.52 0.21 1.79
Triangulated dual graph
Density: 29.09%
Triangles: 7,470
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.79 0.77 66.21 0.00 -21.18 0.13 0.17 3.90
Degree 2 49 24.14 21.00 2,028 MAX VALUE 244.36 15.21 0.63 3.44
Eccentricity 2 4 2.83 3.00 238 2.56e+37 86.14 0.48 0.17 0.70
Triangulated minimal dual graph
Density: 12.05%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.75 0.67 63.03 0.00 -27.47 0.21 0.28 2.66
Degree 2 31 10.00 5.00 840 MAX VALUE 157.33 9.22 0.92 2.72
Eccentricity 3 5 3.79 4.00 318 MAX VALUE 110.82 0.58 0.15 0.86
Incidence graph
Density: 2.20%
MCB compute time (ms): 28
MCB cycles: 45
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 1.14
Degree 1 11 2.71 2.00 336 MAX VALUE 108.62 1.67 0.62 1.17
Eccentricity 7 11 8.62 9.00 1,069 MAX VALUE 266.54 0.83 0.10 1.21
MCB cycle size 6 10 7.73 8.00 348 MAX VALUE 91.40 1.31 0.17 0.97