Instance: rand-2-40-40-135-650-58_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: 10,720
Number of unique subscopes: 38
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 28 13.95 14.00 149,577 MAX VALUE 27,990.00 3.01 0.22 2.52
Relational linkage 0.07 0.42 0.25 0.25 383.35 0.00 -2,125.03 0.05 0.20 2.10
Tightness 0.61 0.68 0.65 0.65 87.91 0.00 -57.94 0.01 0.02 4.06
Tuples 510 616 558.12 558.00 75,346 MAX VALUE 853.73 19.67 0.04 4.06
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 12 7.05 7.00 268 1.16e+31 71.53 2.46 0.35 2.23
Partitions per subscope 40 40 40.00 40.00 1,520 MAX VALUE 140.18 0.00 0.00 0.00
Tree decomposition
Number of clusters: 25
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 1 31 11.32 8.00 283 4.53e+22 52.17 8.69 0.77 2.71
Cluster variables 2 15 7.84 6.00 196 5.62e+20 47.78 4.09 0.52 2.21
Separator constraints 0 27 5.92 3.00 148 0 None 7.34 1.24 2.33
Separator variables 0 14 6.24 5.00 156 0 None 3.95 0.63 2.32
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 11 163 65.00 57.00 2,470 MAX VALUE 151.43 38.54 0.59 3.46
Cluster variables 6 56 20.13 17.00 765 MAX VALUE 108.04 12.32 0.61 3.07
Separator constraints 0 88 40.63 40.00 1,544 0 None 22.77 0.56 3.28
Separator variables 0 41 16.58 14.50 630 0 None 9.46 0.57 3.03
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 None 0.20 None None None None None 2.94
Degree 1 12 6.75 7.00 270 1.16e+31 71.53 2.74 0.41 2.32
Eccentricity 3 4 3.25 3.00 130 2.16e+20 46.82 0.43 0.13 0.56
Triangulated primal graph
Density: 35.26%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 None 0.79 None None None None None 3.25
Degree 1 28 13.75 13.50 550 MAX VALUE 92.22 8.72 0.63 2.87
Eccentricity 2 4 2.83 3.00 113 5.62e+17 40.87 0.49 0.17 0.72
Dual graph
Density: 10.24%
MCB compute time (ms): 562
MCB cycles: 832
Triangles: 2,123
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 1.00 0.52 0.50 70.50 0.00 -88.89 0.08 0.15 4.02
Degree 5 20 13.72 14.00 1,852 MAX VALUE 349.70 3.11 0.23 2.50
Eccentricity 3 4 3.24 3.00 437 MAX VALUE 157.52 0.43 0.13 0.55
MCB cycle size 3 5 3.10 3.00 2,576 MAX VALUE 936.87 0.31 0.10 0.32
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 77
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 162.44 0.71 0.21 1.07
Eccentricity 6 8 6.59 7.00 889 MAX VALUE 254.02 0.52 0.08 0.75
MCB cycle size 4 9 6.91 7.00 663 MAX VALUE 184.43 1.01 0.15 1.42
Triangulated dual graph
Density: 39.76%
Triangles: 60,178
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.82 0.81 110.33 0.00 -28.30 0.10 0.13 4.46
Degree 5 93 53.27 58.00 7,192 MAX VALUE 505.93 28.69 0.54 3.99
Eccentricity 2 3 2.59 3.00 349 MAX VALUE 125.61 0.49 0.19 0.68
Triangulated minimal dual graph
Density: 12.02%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.78 0.70 105.51 0.00 -36.38 0.17 0.22 3.10
Degree 2 50 16.10 7.00 2,174 MAX VALUE 294.05 16.78 1.04 2.94
Eccentricity 3 5 3.80 4.00 513 MAX VALUE 178.93 0.51 0.14 0.75
Incidence graph
Density: 1.77%
MCB compute time (ms): 76
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 0.72
Degree 1 12 3.09 2.00 540 MAX VALUE 165.10 2.39 0.77 1.03
Eccentricity 6 9 7.15 7.00 1,251 MAX VALUE 343.60 0.60 0.08 0.90
MCB cycle size 6 8 6.79 6.00 652 MAX VALUE 182.94 0.98 0.14 0.67