Instance: rand-2-40-40-135-650-61_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:33
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 27 13.96 14.00 150,738 MAX VALUE 28,198.90 3.03 0.22 2.53
Relational linkage 0.07 0.42 0.25 0.25 404.70 0.00 -2,229.67 0.05 0.19 2.06
Tightness 0.62 0.68 0.65 0.65 87.89 0.00 -57.95 0.01 0.02 3.90
Tuples 519 605 558.29 558.00 75,369 MAX VALUE 853.78 18.39 0.03 3.90
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 14 6.75 6.50 270 1.21e+32 73.87 2.35 0.35 2.05
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: 23
Number of leaves: 12
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 3 32 11.39 9.00 262 8.00e+21 50.43 8.35 0.73 2.42
Cluster variables 4 18 8.61 7.00 198 2.47e+20 46.96 4.25 0.49 2.29
Separator constraints 0 26 5.52 3.00 127 0 None 7.07 1.28 2.28
Separator variables 0 17 6.87 6.00 158 0 None 4.02 0.59 2.35
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 13 184 60.97 49.50 2,317 MAX VALUE 146.69 42.62 0.70 3.40
Cluster variables 7 57 20.05 16.00 762 MAX VALUE 107.44 12.83 0.64 2.92
Separator constraints 0 95 37.63 31.00 1,430 0 None 26.29 0.70 3.26
Separator variables 0 45 16.50 14.00 627 0 None 9.91 0.60 3.04
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 0.67 0.17 0.17 6.74 0.00 None 0.12 0.73 2.88
Degree 3 14 6.75 6.50 270 1.21e+32 73.87 2.35 0.35 2.05
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 39.87%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.82 0.79 32.68 0.00 -8.65 0.14 0.17 2.79
Degree 3 29 15.55 16.50 622 MAX VALUE 99.90 9.12 0.59 2.66
Eccentricity 2 3 2.45 2.00 98 1.62e+15 35.02 0.50 0.20 0.69
Dual graph
Density: 9.81%
MCB compute time (ms): 304
MCB cycles: 1,011
Triangles: 1,975
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 0.77 0.51 0.49 68.32 0.00 -92.64 0.05 0.11 3.87
Degree 6 22 13.14 13.00 1,774 MAX VALUE 342.88 3.44 0.26 2.55
Eccentricity 3 4 3.32 3.00 448 MAX VALUE 160.68 0.47 0.14 0.63
MCB cycle size 3 5 3.36 3.00 3,398 MAX VALUE 1,210.47 0.63 0.19 0.76
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 88
MCB cycles: 96
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 3.41 3.00 460 MAX VALUE 163.00 0.64 0.19 0.96
Eccentricity 6 8 6.69 7.00 903 MAX VALUE 256.16 0.51 0.08 0.73
MCB cycle size 4 9 7.04 7.00 676 MAX VALUE 186.20 1.05 0.15 1.41
Triangulated dual graph
Density: 40.45%
Triangles: 63,829
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.82 0.81 111.15 0.00 -27.15 0.10 0.12 4.33
Degree 6 93 54.21 68.00 7,318 MAX VALUE 506.52 29.69 0.55 3.89
Eccentricity 2 3 2.52 3.00 340 MAX VALUE 121.96 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.94%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.78 0.74 105.48 0.00 -36.56 0.17 0.22 2.99
Degree 2 49 16.00 6.00 2,160 MAX VALUE 295.71 16.54 1.03 3.04
Eccentricity 3 5 3.64 4.00 492 MAX VALUE 173.15 0.52 0.14 0.76
Incidence graph
Density: 1.77%
MCB compute time (ms): 75
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 14 3.09 2.00 540 MAX VALUE 167.45 2.29 0.74 1.01
Eccentricity 6 8 7.12 7.00 1,246 MAX VALUE 342.84 0.62 0.09 0.93
MCB cycle size 6 10 7.02 7.00 674 MAX VALUE 186.04 1.04 0.15 0.74