Instance: rand-2-40-40-135-650-89_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:36
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: 10,760
Number of unique subscopes: 39
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 29 14.04 14.00 151,024 MAX VALUE 28,158.40 3.02 0.22 2.52
Relational linkage 0.07 0.45 0.25 0.25 396.57 0.00 -2,166.95 0.05 0.19 2.08
Tightness 0.61 0.68 0.65 0.65 87.63 0.00 -58.36 0.01 0.02 3.91
Tuples 519 619 561.38 560.00 75,787 MAX VALUE 854.53 18.76 0.03 3.91
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 6.90 7.00 269 6.11e+31 73.19 2.22 0.32 2.08
Partitions per subscope 40 40 40.00 40.00 1,560 MAX VALUE 143.87 0.00 0.00 0.00
Tree decomposition
Number of clusters: 24
Number of leaves: 11
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 1 30 11.71 10.00 281 7.06e+22 52.61 8.23 0.70 2.53
Cluster variables 2 17 8.38 7.00 201 8.04e+20 48.14 4.14 0.49 2.36
Separator constraints 0 24 6.08 4.50 146 0 None 6.95 1.14 2.42
Separator variables 0 16 6.71 5.50 161 0 None 3.98 0.59 2.42
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 9 123 58.71 56.00 2,231 MAX VALUE 147.90 31.64 0.54 3.40
Cluster variables 6 50 19.55 16.00 743 MAX VALUE 107.47 11.19 0.57 2.97
Separator constraints 0 67 35.32 36.50 1,342 0 None 18.57 0.53 3.18
Separator variables 0 38 16.00 14.00 608 0 None 8.56 0.53 2.79
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 None 0.18 None None None None None 3.03
Degree 1 11 6.75 7.00 270 6.11e+31 73.19 2.37 0.35 2.14
Eccentricity 3 4 3.15 3.00 126 6.83e+19 45.67 0.36 0.11 0.42
Triangulated primal graph
Density: 38.08%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 None 0.81 None None None None None 3.14
Degree 1 27 14.85 16.00 594 MAX VALUE 97.24 8.92 0.60 2.80
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.83%
MCB compute time (ms): 352
MCB cycles: 828
Triangles: 1,934
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 1.00 0.51 0.49 68.70 0.00 -92.03 0.06 0.12 3.89
Degree 5 20 13.17 13.00 1,778 MAX VALUE 344.19 3.02 0.23 2.45
Eccentricity 3 4 3.39 3.00 457 MAX VALUE 163.27 0.49 0.14 0.67
MCB cycle size 3 6 3.15 3.00 2,611 MAX VALUE 945.57 0.39 0.12 0.45
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 65
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 162.51 0.70 0.21 1.06
Eccentricity 6 8 6.73 7.00 909 MAX VALUE 256.96 0.57 0.09 0.85
MCB cycle size 4 10 6.75 7.00 648 MAX VALUE 181.59 1.22 0.18 1.54
Triangulated dual graph
Density: 36.72%
Triangles: 49,954
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.62 1.00 0.81 0.80 108.97 0.00 -30.24 0.11 0.14 4.40
Degree 5 89 49.20 54.00 6,642 MAX VALUE 496.23 26.80 0.54 3.94
Eccentricity 2 3 2.47 2.00 333 MAX VALUE 119.12 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 0.71 104.63 0.00 -37.30 0.16 0.21 3.11
Degree 2 50 16.09 6.00 2,172 MAX VALUE 296.08 16.66 1.04 2.98
Eccentricity 3 5 3.70 4.00 500 MAX VALUE 175.32 0.53 0.14 0.78
Incidence graph
Density: 1.77%
MCB compute time (ms): 74
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 None 0.00 None None None None None 0.40
Degree 1 11 3.09 2.00 540 MAX VALUE 166.76 2.29 0.74 1.03
Eccentricity 6 9 7.29 7.00 1,275 MAX VALUE 346.86 0.64 0.09 0.97
MCB cycle size 6 10 6.98 6.00 670 MAX VALUE 185.47 1.04 0.15 0.74