Instance: rand-2-40-80-103-800-2_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:58:00
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: 16,480
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 206 1.01e+31 71.39 0.00 0.00 0.00
Coarse blocks size 3 32 15.91 16.00 262,244 MAX VALUE 45,145.40 3.63 0.23 2.71
Relational linkage 0.04 0.29 0.15 0.15 477.02 0.00 -6,165.38 0.03 0.21 2.33
Tightness 0.78 0.81 0.80 0.80 82.51 0.00 -22.85 0.01 0.01 4.17
Tuples 1,187 1,382 1,273.03 1,272.00 131,122 MAX VALUE 736.33 33.41 0.03 4.17
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 11 5.15 5.00 206 9.97e+26 62.17 2.01 0.39 1.97
Partitions per subscope 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Tree decomposition
Number of clusters: 27
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 1 18 6.78 5.00 183 8.52e+19 45.89 4.37 0.65 2.35
Cluster variables 3 14 6.52 5.00 176 4.06e+20 47.45 3.33 0.51 1.99
Separator constraints 0 15 2.96 1.00 80 0 None 4.02 1.36 1.91
Separator variables 0 13 5.04 4.00 136 0 None 3.14 0.62 2.04
Dual tree decomposition
Number of clusters: 38
Number of leaves: 13
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 2 70 29.42 26.50 1,118 MAX VALUE 119.95 17.57 0.60 3.33
Cluster variables 3 31 13.24 11.00 503 MAX VALUE 92.85 7.10 0.54 2.62
Separator constraints 0 43 16.05 13.00 610 0 None 10.32 0.64 3.02
Separator variables 0 24 10.53 10.00 400 0 None 5.48 0.52 2.68
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 0.20 0.19 7.87 0.00 None 0.14 0.72 2.57
Degree 2 11 5.15 5.00 206 9.97e+26 62.17 2.01 0.39 1.97
Eccentricity 3 5 3.92 4.00 157 3.69e+23 54.27 0.57 0.14 0.85
Triangulated primal graph
Density: 29.10%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.79 0.76 31.49 0.00 -10.43 0.16 0.21 2.72
Degree 2 24 11.35 7.50 454 6.02e+36 84.69 7.83 0.69 2.44
Eccentricity 2 3 2.60 3.00 104 1.85e+16 37.46 0.49 0.19 0.67
Dual graph
Density: 9.67%
MCB compute time (ms): 96
MCB cycles: 431
Triangles: 836
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 0.71 0.51 0.49 52.09 0.00 None 0.09 0.17 3.41
Degree 2 16 9.86 10.00 1,016 MAX VALUE 230.79 2.81 0.29 2.33
Eccentricity 3 5 4.00 4.00 412 MAX VALUE 142.53 0.28 0.07 0.33
MCB cycle size 3 6 3.18 3.00 1,370 MAX VALUE 494.22 0.50 0.16 0.48
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 33
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 117.94 0.70 0.22 1.04
Eccentricity 6 8 6.80 7.00 700 MAX VALUE 197.03 0.56 0.08 0.84
MCB cycle size 4 9 6.75 7.00 432 MAX VALUE 121.16 1.15 0.17 1.47
Triangulated dual graph
Density: 29.70%
Triangles: 14,131
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.79 0.76 81.01 0.00 -26.16 0.13 0.17 4.14
Degree 2 63 30.29 28.00 3,120 MAX VALUE 325.66 18.03 0.60 3.57
Eccentricity 2 4 3.05 3.00 314 MAX VALUE 113.77 0.43 0.14 0.60
Triangulated minimal dual graph
Density: 12.07%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 0.77 0.71 79.16 0.00 -30.43 0.19 0.25 2.87
Degree 2 37 12.31 5.00 1,268 MAX VALUE 205.22 12.27 1.00 2.81
Eccentricity 3 5 3.79 4.00 390 MAX VALUE 136.01 0.55 0.15 0.82
Incidence graph
Density: 2.03%
MCB compute time (ms): 47
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 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 11 2.88 2.00 412 MAX VALUE 133.56 1.77 0.61 1.02
Eccentricity 7 10 8.42 8.00 1,204 MAX VALUE 304.13 0.73 0.09 1.10
MCB cycle size 6 12 7.28 6.00 466 MAX VALUE 125.78 1.52 0.21 1.03