Instance: rand-2-40-40-135-650-96_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:40
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 3 26 14.01 14.00 151,336 MAX VALUE 28,249.50 2.99 0.21 2.51
Relational linkage 0.07 0.47 0.25 0.25 406.77 0.00 -2,220.94 0.05 0.19 2.05
Tightness 0.62 0.68 0.65 0.65 87.71 0.00 -58.24 0.01 0.02 3.95
Tuples 515 609 560.50 559.00 75,668 MAX VALUE 854.33 17.12 0.03 3.95
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 11 6.75 7.00 270 1.41e+32 74.03 2.11 0.31 2.14
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: 10
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 2 29 10.83 9.00 260 4.33e+22 52.12 7.03 0.65 2.66
Cluster variables 3 17 8.96 8.50 215 5.82e+21 50.12 4.03 0.45 2.40
Separator constraints 0 21 5.21 3.00 125 0 None 6.16 1.18 2.36
Separator variables 0 15 7.29 6.50 175 0 None 3.96 0.54 2.40
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 10 160 61.76 52.00 2,347 MAX VALUE 148.96 37.84 0.61 3.56
Cluster variables 6 58 20.21 16.50 768 MAX VALUE 108.09 12.48 0.62 2.96
Separator constraints 0 91 39.00 36.00 1,482 0 None 23.24 0.60 3.37
Separator variables 0 40 16.66 14.00 633 0 None 9.56 0.57 2.90
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 0.33 0.12 0.11 4.65 0.00 None 0.09 0.75 2.87
Degree 2 11 6.75 7.00 270 1.41e+32 74.03 2.11 0.31 2.14
Eccentricity 2 4 3.15 3.00 126 6.07e+19 45.55 0.42 0.13 0.58
Triangulated primal graph
Density: 39.87%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.81 0.80 32.49 0.00 -8.95 0.14 0.18 2.88
Degree 2 29 15.55 16.50 622 MAX VALUE 100.35 8.95 0.58 2.91
Eccentricity 2 3 2.52 3.00 101 5.48e+15 36.24 0.50 0.20 0.69
Dual graph
Density: 9.56%
MCB compute time (ms): 248
MCB cycles: 839
Triangles: 1,763
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 0.80 0.50 0.48 67.20 0.00 -94.81 0.05 0.11 3.65
Degree 5 18 12.81 13.00 1,730 MAX VALUE 341.11 2.63 0.20 2.34
Eccentricity 3 4 3.36 3.00 454 MAX VALUE 162.41 0.48 0.14 0.66
MCB cycle size 3 5 3.23 3.00 2,714 MAX VALUE 976.60 0.50 0.15 0.59
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 55
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 0.67 0.00 None 0.03 7.04 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.86 0.67 0.20 1.01
Eccentricity 6 8 6.65 7.00 898 MAX VALUE 255.29 0.59 0.09 0.87
MCB cycle size 3 9 6.83 7.00 656 MAX VALUE 182.58 1.26 0.18 1.54
Triangulated dual graph
Density: 40.29%
Triangles: 62,286
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.80 110.48 0.00 -28.02 0.10 0.12 4.34
Degree 5 90 53.99 58.00 7,288 MAX VALUE 506.98 29.07 0.54 3.64
Eccentricity 2 4 2.89 3.00 390 MAX VALUE 141.76 0.40 0.14 0.54
Triangulated minimal dual graph
Density: 12.36%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.79 0.72 106.45 0.00 -35.09 0.17 0.21 3.12
Degree 2 50 16.56 7.00 2,236 MAX VALUE 297.39 17.28 1.04 2.94
Eccentricity 3 5 3.68 4.00 497 MAX VALUE 174.52 0.53 0.14 0.77
Incidence graph
Density: 1.77%
MCB compute time (ms): 65
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 11 3.09 2.00 540 MAX VALUE 167.60 2.23 0.72 0.99
Eccentricity 5 9 7.17 7.00 1,254 MAX VALUE 343.75 0.71 0.10 1.07
MCB cycle size 6 10 7.35 8.00 706 MAX VALUE 190.58 1.02 0.14 0.74