Instance: rand-2-40-180-84-900-49_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:18
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: 30,240
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 168 1.93e+25 58.22 0.00 0.00 0.00
Coarse blocks size 4 38 18.02 18.00 544,818 MAX VALUE 86,645.80 4.01 0.22 2.80
Relational linkage 0.02 0.15 0.08 0.08 566.06 0.00 -18,465.80 0.02 0.20 2.47
Tightness 0.90 0.90 0.90 0.90 75.59 0.00 -8.86 0.00 0.00 4.18
Tuples 3,131 3,387 3,242.96 3,240.50 272,409 MAX VALUE 679.07 53.96 0.02 4.18
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 8 4.20 4.00 168 2.01e+23 53.66 1.76 0.42 1.83
Partitions per subscope 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Tree decomposition
Number of clusters: 32
Number of leaves: 17
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 7 4.00 4.00 128 3.33e+17 40.35 1.90 0.48 1.76
Cluster variables 3 9 5.19 4.50 166 5.40e+21 50.04 2.19 0.42 1.71
Separator constraints 0 6 1.38 1.00 44 0 None 1.78 1.30 1.51
Separator variables 0 8 3.94 3.00 126 0 None 2.19 0.56 1.79
Dual tree decomposition
Number of clusters: 38
Number of leaves: 13
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 2 38 17.29 16.00 657 MAX VALUE 101.82 9.38 0.54 2.90
Cluster variables 3 21 10.29 9.00 391 4.68e+36 84.44 4.89 0.48 2.57
Separator constraints 0 20 8.58 8.50 326 0 None 4.94 0.58 2.68
Separator variables 0 15 8.08 7.50 307 0 None 3.72 0.46 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 0.33 0.09 0.06 3.78 0.00 None 0.12 1.23 1.80
Degree 2 8 4.20 4.00 168 2.01e+23 53.66 1.76 0.42 1.83
Eccentricity 3 5 3.98 4.00 159 7.97e+23 55.03 0.35 0.09 0.46
Triangulated primal graph
Density: 20.77%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.77 0.76 30.93 0.00 -12.07 0.22 0.28 2.27
Degree 2 21 8.10 4.50 324 3.63e+30 70.37 6.30 0.78 2.41
Eccentricity 2 4 2.90 3.00 116 1.69e+18 41.97 0.49 0.17 0.72
Dual graph
Density: 9.50%
MCB compute time (ms): 41
MCB cycles: 258
Triangles: 422
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 0.75 0.51 0.50 43.23 0.00 None 0.10 0.20 3.01
Degree 2 14 7.88 8.00 662 MAX VALUE 169.84 2.11 0.27 2.08
Eccentricity 3 5 4.17 4.00 350 MAX VALUE 119.51 0.40 0.10 0.53
MCB cycle size 3 6 3.28 3.00 846 MAX VALUE 302.19 0.67 0.20 0.62
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 15
MCB cycles: 45
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 3.05 3.00 256 MAX VALUE 92.02 0.58 0.19 0.86
Eccentricity 6 7 6.61 7.00 555 MAX VALUE 158.37 0.49 0.07 0.67
MCB cycle size 4 9 7.04 7.00 317 7.16e+37 87.16 1.17 0.17 1.52
Triangulated dual graph
Density: 26.42%
Triangles: 5,731
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.77 0.75 64.96 0.00 -23.10 0.15 0.19 3.82
Degree 2 48 21.93 21.00 1,842 MAX VALUE 239.11 13.16 0.60 3.52
Eccentricity 3 4 3.25 3.00 273 MAX VALUE 98.32 0.43 0.13 0.56
Triangulated minimal dual graph
Density: 12.48%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.75 0.67 62.81 0.00 -27.51 0.20 0.27 2.81
Degree 2 31 10.36 5.00 870 MAX VALUE 160.37 9.54 0.92 2.66
Eccentricity 3 5 3.71 4.00 312 MAX VALUE 109.42 0.50 0.14 0.72
Incidence graph
Density: 2.20%
MCB compute time (ms): 22
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 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 8 2.71 2.00 336 MAX VALUE 111.88 1.44 0.53 0.98
Eccentricity 7 10 8.66 9.00 1,074 MAX VALUE 267.24 0.75 0.09 1.11
MCB cycle size 6 12 8.18 8.00 368 MAX VALUE 93.72 1.57 0.19 1.15