Instance: rand-2-40-180-84-900-30_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:11
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 84
General features
Number of coarse blocks: 29,880
Number of unique subscopes: 38
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 168 1.93e+25 58.22 0.00 0.00 0.00
Coarse blocks size 4 37 18.02 18.00 538,290 MAX VALUE 85,594.40 4.05 0.23 2.81
Relational linkage 0.02 0.16 0.08 0.08 529.67 0.00 -17,645.50 0.02 0.20 2.45
Tightness 0.90 0.90 0.90 0.90 75.59 0.00 -8.86 0.00 0.00 4.11
Tuples 3,085 3,350 3,243.13 3,241.50 272,423 MAX VALUE 679.07 50.39 0.02 4.11
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 7 4.37 4.00 166 1.60e+23 53.43 1.55 0.35 1.72
Partitions per subscope 180 180 180.00 180.00 6,840 MAX VALUE 197.33 0.00 0.00 0.00
Tree decomposition
Number of clusters: 29
Number of leaves: 13
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 9 3.90 4.00 113 7.08e+14 34.19 2.26 0.58 1.94
Cluster variables 2 12 5.62 5.00 163 1.79e+20 46.63 2.85 0.51 2.05
Separator constraints 0 5 1.00 0.00 29 0 None 1.70 1.70 1.09
Separator variables 0 11 4.24 4.00 123 0 None 2.70 0.64 2.12
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 2 39 17.92 16.00 681 MAX VALUE 101.65 10.49 0.59 3.14
Cluster variables 4 27 10.66 9.00 405 6.78e+36 84.81 5.86 0.55 2.69
Separator constraints 0 25 9.37 9.00 356 0 None 6.45 0.69 2.79
Separator variables 0 20 8.45 7.00 321 0 None 4.62 0.55 2.61
Primal graph
Density: 10.77%
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 0.33 None 0.00 None None None None None 1.53
Degree 1 7 4.20 4.00 168 1.60e+23 53.43 1.68 0.40 1.84
Eccentricity 3 6 4.40 4.00 176 3.26e+25 58.75 0.70 0.16 1.06
Triangulated primal graph
Density: 24.23%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 None 0.71 None None None None None 3.05
Degree 1 21 9.45 6.00 378 7.14e+32 75.65 7.00 0.74 2.66
Eccentricity 3 5 3.50 3.00 140 3.37e+21 49.57 0.59 0.17 0.85
Dual graph
Density: 9.32%
MCB compute time (ms): 54
MCB cycles: 246
Triangles: 386
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 1.00 0.49 0.47 41.05 0.00 -61.68 0.11 0.22 2.60
Degree 3 12 7.74 8.00 650 MAX VALUE 167.92 2.24 0.29 2.14
Eccentricity 4 5 4.25 4.00 357 MAX VALUE 121.14 0.43 0.10 0.56
MCB cycle size 3 6 3.28 3.00 806 MAX VALUE 288.10 0.65 0.20 0.59
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 15
MCB cycles: 45
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 4 3.05 3.00 256 MAX VALUE 92.14 0.55 0.18 0.83
Eccentricity 6 8 6.89 7.00 579 MAX VALUE 161.76 0.67 0.10 1.00
MCB cycle size 4 10 7.24 7.00 326 1.96e+38 88.17 1.40 0.19 1.71
Triangulated dual graph
Density: 28.94%
Triangles: 7,403
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.78 0.75 65.93 0.00 -21.56 0.13 0.17 3.88
Degree 3 49 24.02 22.50 2,018 MAX VALUE 244.21 14.98 0.62 3.47
Eccentricity 2 4 3.07 3.00 258 MAX VALUE 93.07 0.51 0.16 0.75
Triangulated minimal dual graph
Density: 13.08%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 0.76 0.67 63.85 0.00 -25.91 0.20 0.26 2.65
Degree 2 30 10.86 5.00 912 MAX VALUE 162.40 10.17 0.94 2.56
Eccentricity 3 4 3.49 3.00 293 MAX VALUE 104.08 0.50 0.14 0.69
Incidence graph
Density: 2.20%
MCB compute time (ms): 26
MCB cycles: 45
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 0.60
Degree 1 7 2.71 2.00 336 MAX VALUE 111.65 1.40 0.52 1.07
Eccentricity 7 12 9.09 9.00 1,127 MAX VALUE 272.81 1.09 0.12 1.44
MCB cycle size 6 12 8.67 8.00 390 MAX VALUE 96.43 1.52 0.18 1.10