Instance: rand-2-40-40-135-650-51_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:46
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 14.02 14.00 151,370 MAX VALUE 28,253.10 3.00 0.21 2.51
Relational linkage 0.07 0.40 0.25 0.25 407.18 0.00 -2,217.97 0.05 0.18 2.02
Tightness 0.62 0.67 0.65 0.65 87.70 0.00 -58.26 0.01 0.02 3.98
Tuples 521 601 560.63 561.00 75,685 MAX VALUE 854.35 18.21 0.03 3.98
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 11 6.75 6.00 270 3.03e+32 74.79 1.87 0.28 1.99
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: 11
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 28 12.61 9.00 290 4.37e+23 54.43 7.18 0.57 2.63
Cluster variables 4 18 9.70 8.00 223 5.61e+21 50.08 4.15 0.43 2.30
Separator constraints 0 20 6.74 4.00 155 0 None 6.48 0.96 2.40
Separator variables 0 14 7.96 7.00 183 0 None 4.12 0.52 2.30
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 13 148 58.08 50.50 2,207 MAX VALUE 148.39 32.29 0.56 3.48
Cluster variables 7 54 19.89 16.00 756 MAX VALUE 108.22 11.64 0.59 2.90
Separator constraints 0 81 35.82 29.50 1,361 0 None 20.10 0.56 3.27
Separator variables 0 41 16.34 14.00 621 0 None 8.98 0.55 2.81
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 0.20 0.20 7.96 0.00 None 0.10 0.50 3.01
Degree 3 11 6.75 6.00 270 3.03e+32 74.79 1.87 0.28 1.99
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 43.08%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.60 1.00 0.82 0.78 32.72 0.00 -8.59 0.14 0.17 2.96
Degree 3 29 16.80 19.50 672 MAX VALUE 104.59 8.96 0.53 2.82
Eccentricity 2 3 2.35 2.00 94 3.21e+14 33.40 0.48 0.20 0.65
Dual graph
Density: 9.35%
MCB compute time (ms): 230
MCB cycles: 766
Triangles: 1,698
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 0.70 0.50 0.49 67.12 0.00 -94.78 0.04 0.09 3.65
Degree 6 19 12.53 13.00 1,692 MAX VALUE 338.30 2.58 0.21 2.29
Eccentricity 3 4 3.62 4.00 489 MAX VALUE 172.48 0.48 0.13 0.66
MCB cycle size 3 5 3.14 3.00 2,408 MAX VALUE 872.34 0.40 0.13 0.43
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 41
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.83 0.00 None 0.04 6.90 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.81 0.67 0.20 1.01
Eccentricity 6 8 6.79 7.00 917 MAX VALUE 258.20 0.55 0.08 0.81
MCB cycle size 3 9 6.68 7.00 641 MAX VALUE 180.47 1.19 0.18 1.51
Triangulated dual graph
Density: 37.81%
Triangles: 53,973
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.64 1.00 0.81 0.78 109.55 0.00 -29.38 0.11 0.13 4.40
Degree 6 90 50.67 53.00 6,840 MAX VALUE 499.39 27.85 0.55 3.89
Eccentricity 2 3 2.60 3.00 351 MAX VALUE 126.42 0.49 0.19 0.67
Triangulated minimal dual graph
Density: 12.16%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.78 0.71 105.33 0.00 -36.31 0.16 0.21 3.15
Degree 2 50 16.30 6.00 2,200 MAX VALUE 297.09 16.96 1.04 2.97
Eccentricity 3 5 3.73 4.00 504 MAX VALUE 176.60 0.49 0.13 0.70
Incidence graph
Density: 1.77%
MCB compute time (ms): 50
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 168.37 2.19 0.71 0.99
Eccentricity 6 8 7.43 7.00 1,300 MAX VALUE 350.32 0.61 0.08 0.88
MCB cycle size 6 10 6.92 6.00 664 MAX VALUE 184.60 1.04 0.15 0.74