Instance: rand-2-40-80-103-800-68_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:54
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 31 16.04 16.00 264,302 MAX VALUE 45,302.80 3.56 0.22 2.69
Relational linkage 0.04 0.29 0.15 0.15 485.05 0.00 -6,102.16 0.03 0.20 2.27
Tightness 0.79 0.81 0.80 0.80 82.35 0.00 -23.05 0.01 0.01 4.08
Tuples 1,191 1,357 1,283.02 1,283.00 132,151 MAX VALUE 737.13 32.97 0.03 4.08
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 9 5.15 5.00 206 2.14e+27 62.93 1.75 0.34 1.92
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: 26
Number of leaves: 13
Tree depth: 4
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 2 13 6.38 5.00 166 1.09e+19 43.83 3.64 0.57 2.12
Cluster variables 3 15 6.92 6.00 180 4.65e+20 47.59 3.29 0.48 2.21
Separator constraints 0 10 2.42 1.00 63 0 None 3.02 1.24 1.74
Separator variables 0 13 5.38 5.00 140 0 None 3.06 0.57 2.21
Dual tree decomposition
Number of clusters: 38
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 6 74 30.00 27.00 1,140 MAX VALUE 122.47 16.65 0.56 3.27
Cluster variables 5 37 14.11 11.50 536 MAX VALUE 95.27 8.02 0.57 2.80
Separator constraints 0 40 17.13 18.00 651 0 None 10.30 0.60 3.09
Separator variables 0 27 11.39 10.00 433 0 None 6.15 0.54 2.81
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 0.40 0.09 0.07 3.75 0.00 None 0.11 1.17 2.09
Degree 2 9 5.15 5.00 206 2.14e+27 62.93 1.75 0.34 1.92
Eccentricity 3 4 3.50 3.50 140 3.83e+21 49.70 0.50 0.14 0.69
Triangulated primal graph
Density: 31.41%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.80 0.79 31.90 0.00 -9.91 0.16 0.20 2.70
Degree 2 27 12.25 11.50 490 2.63e+38 88.46 8.16 0.67 2.69
Eccentricity 2 3 2.52 3.00 101 5.48e+15 36.24 0.50 0.20 0.69
Dual graph
Density: 9.31%
MCB compute time (ms): 119
MCB cycles: 389
Triangles: 726
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 0.78 0.49 0.47 50.57 0.00 -74.19 0.07 0.14 3.26
Degree 4 15 9.50 10.00 978 MAX VALUE 228.44 2.31 0.24 2.22
Eccentricity 3 4 3.92 4.00 404 MAX VALUE 140.49 0.27 0.07 0.27
MCB cycle size 3 5 3.16 3.00 1,229 MAX VALUE 444.42 0.44 0.14 0.45
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 27
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 118.58 0.62 0.19 0.94
Eccentricity 6 8 6.78 7.00 698 MAX VALUE 196.72 0.57 0.08 0.86
MCB cycle size 4 9 6.72 7.00 430 MAX VALUE 120.92 1.14 0.17 1.52
Triangulated dual graph
Density: 33.60%
Triangles: 18,765
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.60 1.00 0.80 0.79 82.37 0.00 -24.09 0.12 0.15 4.15
Degree 4 65 34.27 34.00 3,530 MAX VALUE 338.21 20.06 0.59 3.73
Eccentricity 2 3 2.55 3.00 263 MAX VALUE 94.51 0.50 0.19 0.69
Triangulated minimal dual graph
Density: 11.99%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 0.76 0.67 78.72 0.00 -31.04 0.19 0.25 2.83
Degree 2 38 12.23 6.00 1,260 MAX VALUE 208.47 11.79 0.96 2.77
Eccentricity 2 4 3.56 4.00 367 MAX VALUE 129.72 0.52 0.14 0.73
Incidence graph
Density: 2.03%
MCB compute time (ms): 39
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 9 2.88 2.00 412 MAX VALUE 134.32 1.69 0.59 1.03
Eccentricity 7 9 7.92 8.00 1,132 MAX VALUE 295.51 0.55 0.07 0.82
MCB cycle size 6 10 7.88 8.00 504 MAX VALUE 131.16 1.32 0.17 0.98