Instance: rand-2-40-40-135-650-79_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:34
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 25 14.06 14.00 151,882 MAX VALUE 28,294.30 2.97 0.21 2.51
Relational linkage 0.07 0.45 0.26 0.25 415.95 0.00 -2,188.33 0.05 0.20 2.13
Tightness 0.62 0.68 0.65 0.65 87.54 0.00 -58.50 0.01 0.02 3.92
Tuples 513 605 562.53 561.00 75,941 MAX VALUE 854.81 17.50 0.03 3.92
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 6.75 7.00 270 4.10e+31 72.79 2.54 0.38 2.22
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: 14
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 30 9.96 7.00 239 1.76e+21 48.92 7.54 0.76 2.47
Cluster variables 3 17 7.83 6.50 188 1.25e+20 46.27 4.09 0.52 2.38
Separator constraints 0 23 4.33 2.00 104 0 None 5.56 1.28 2.22
Separator variables 0 15 6.17 5.00 148 0 None 3.84 0.62 2.38
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 10 177 66.45 55.50 2,525 MAX VALUE 151.40 41.88 0.63 3.46
Cluster variables 7 57 20.61 17.00 783 MAX VALUE 108.83 12.89 0.63 2.93
Separator constraints 0 97 42.63 36.50 1,620 0 None 25.23 0.59 3.35
Separator variables 0 45 17.05 14.50 648 0 None 9.85 0.58 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 1.00 0.21 0.17 8.25 0.00 None 0.20 0.98 2.95
Degree 2 12 6.75 7.00 270 4.10e+31 72.79 2.54 0.38 2.22
Eccentricity 3 4 3.15 3.00 126 6.83e+19 45.67 0.36 0.11 0.42
Triangulated primal graph
Density: 36.41%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.83 0.82 33.05 0.00 -8.38 0.16 0.19 2.64
Degree 2 29 14.20 14.00 568 MAX VALUE 94.19 9.09 0.64 2.87
Eccentricity 2 3 2.55 3.00 102 8.23e+15 36.65 0.50 0.20 0.69
Dual graph
Density: 10.01%
MCB compute time (ms): 540
MCB cycles: 796
Triangles: 2,003
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 0.85 0.52 0.50 70.07 0.00 -89.59 0.07 0.14 3.92
Degree 6 21 13.41 14.00 1,810 MAX VALUE 346.98 2.88 0.21 2.45
Eccentricity 3 4 3.30 3.00 445 MAX VALUE 159.82 0.46 0.14 0.61
MCB cycle size 3 5 3.09 3.00 2,460 MAX VALUE 894.89 0.31 0.10 0.31
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 60
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 162.57 0.69 0.20 1.05
Eccentricity 5 8 6.64 7.00 897 MAX VALUE 255.14 0.58 0.09 0.87
MCB cycle size 4 9 6.88 7.00 660 MAX VALUE 183.82 1.05 0.15 1.43
Triangulated dual graph
Density: 41.88%
Triangles: 67,238
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.64 1.00 0.82 0.81 111.35 0.00 -26.96 0.10 0.12 4.49
Degree 6 99 56.12 70.00 7,576 MAX VALUE 513.37 29.58 0.53 3.91
Eccentricity 2 3 2.41 2.00 326 MAX VALUE 116.28 0.49 0.20 0.68
Triangulated minimal dual graph
Density: 11.95%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 0.78 0.72 105.34 0.00 -36.76 0.17 0.22 3.08
Degree 2 49 16.01 6.00 2,162 MAX VALUE 294.97 16.61 1.04 3.02
Eccentricity 3 5 3.63 4.00 490 MAX VALUE 172.64 0.51 0.14 0.74
Incidence graph
Density: 1.77%
MCB compute time (ms): 70
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 12 3.09 2.00 540 MAX VALUE 166.37 2.33 0.76 0.98
Eccentricity 6 8 7.18 7.00 1,256 MAX VALUE 344.36 0.56 0.08 0.84
MCB cycle size 6 10 6.96 6.00 668 MAX VALUE 185.18 1.04 0.15 0.74