Instance: rand-2-40-40-135-650-24_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:47
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Number of coarse blocks: 10,800
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 4 25 13.94 14.00 150,586 MAX VALUE 28,189.20 3.02 0.22 2.52
Relational linkage 0.10 0.40 0.25 0.25 403.62 0.00 -2,233.92 0.05 0.19 2.06
Tightness 0.62 0.68 0.65 0.65 87.94 0.00 -57.88 0.01 0.02 4.02
Tuples 510 609 557.73 559.00 75,293 MAX VALUE 853.64 19.64 0.04 4.02
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 12 6.75 6.00 270 2.15e+32 74.45 2.11 0.31 2.04
Partitions per subscope 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 24
Number of leaves: 9
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 3 29 11.88 10.50 285 5.37e+23 54.64 7.60 0.64 2.50
Cluster variables 4 17 8.88 8.00 213 8.19e+21 50.46 3.70 0.42 2.23
Separator constraints 0 23 6.25 4.00 150 0 None 6.73 1.08 2.41
Separator variables 0 15 7.21 7.00 173 0 None 3.62 0.50 2.23
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 9 136 56.92 44.50 2,163 MAX VALUE 146.19 34.04 0.60 3.33
Cluster variables 6 54 19.68 15.50 748 MAX VALUE 107.46 11.81 0.60 3.08
Separator constraints 0 73 34.16 30.50 1,298 0 None 20.07 0.59 3.33
Separator variables 0 41 16.13 13.50 613 0 None 9.07 0.56 3.05
Primal graph
Density: 17.31%
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 0.50 0.14 0.14 5.54 0.00 None 0.11 0.81 2.87
Degree 3 12 6.75 6.00 270 2.15e+32 74.45 2.11 0.31 2.04
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 39.62%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.81 0.81 32.28 0.00 -9.25 0.14 0.18 3.13
Degree 3 31 15.45 16.50 618 MAX VALUE 100.99 8.84 0.57 2.90
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.56%
MCB compute time (ms): 556
MCB cycles: 750
Triangles: 1,816
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 0.65 0.50 0.50 67.64 0.00 -93.76 0.04 0.08 3.67
Degree 5 20 12.81 13.00 1,730 MAX VALUE 340.67 2.87 0.22 2.44
Eccentricity 3 4 3.37 3.00 455 MAX VALUE 162.70 0.48 0.14 0.66
MCB cycle size 3 5 3.11 3.00 2,329 MAX VALUE 846.62 0.31 0.10 0.34
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 71
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.60 0.00 None 0.03 7.40 0.13
Degree 2 5 3.41 3.00 460 MAX VALUE 162.79 0.68 0.20 1.02
Eccentricity 6 8 6.76 7.00 912 MAX VALUE 257.40 0.58 0.09 0.86
MCB cycle size 3 9 6.85 7.00 658 MAX VALUE 183.38 1.09 0.16 1.42
Triangulated dual graph
Density: 38.02%
Triangles: 55,116
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.81 0.79 109.71 0.00 -29.10 0.10 0.13 4.48
Degree 5 88 50.95 56.00 6,878 MAX VALUE 499.07 28.27 0.55 3.83
Eccentricity 2 3 2.47 2.00 334 MAX VALUE 119.53 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.01%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.78 0.71 105.56 0.00 -36.36 0.17 0.22 3.03
Degree 2 48 16.09 6.00 2,172 MAX VALUE 295.53 16.72 1.04 2.86
Eccentricity 3 5 3.76 4.00 508 MAX VALUE 177.49 0.53 0.14 0.79
Incidence graph
Density: 1.77%
MCB compute time (ms): 73
MCB cycles: 96
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 12 3.09 2.00 540 MAX VALUE 168.02 2.23 0.72 1.00
Eccentricity 6 8 7.21 7.00 1,261 MAX VALUE 345.01 0.59 0.08 0.88
MCB cycle size 6 10 7.25 8.00 696 MAX VALUE 189.21 1.01 0.14 0.72