Instance: rand-2-40-180-84-900-79_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:17
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: 29,700
Number of unique subscopes: 37
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 39 17.99 18.00 534,386 MAX VALUE 85,047.20 4.04 0.22 2.81
Relational linkage 0.02 0.17 0.08 0.08 515.44 0.00 -17,186.20 0.02 0.20 2.46
Tightness 0.90 0.90 0.90 0.90 75.60 0.00 -8.85 0.00 0.00 4.10
Tuples 3,088 3,358 3,240.04 3,243.00 272,163 MAX VALUE 678.99 56.00 0.02 4.10
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 10 4.46 5.00 165 3.60e+22 51.94 1.85 0.42 1.74
Partitions per subscope 180 180 180.00 180.00 6,660 MAX VALUE 192.14 0.00 0.00 0.00
Tree decomposition
Number of clusters: 29
Number of leaves: 12
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 11 4.03 3.00 117 9.01e+14 34.43 2.54 0.63 1.98
Cluster variables 2 12 5.45 5.00 158 5.21e+19 45.40 2.76 0.51 2.18
Separator constraints 0 5 1.14 0.00 33 0 None 1.55 1.36 1.29
Separator variables 0 10 4.07 4.00 118 0 None 2.59 0.64 2.18
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 4 55 19.87 16.50 755 MAX VALUE 106.23 12.75 0.64 2.94
Cluster variables 5 27 10.79 9.00 410 2.00e+37 85.89 5.75 0.53 2.37
Separator constraints 0 33 10.68 9.00 406 0 None 7.75 0.73 2.80
Separator variables 0 19 8.58 8.00 326 0 None 4.41 0.51 2.33
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 0.20 None 0.06 None None None None None 1.91
Degree 1 10 4.20 5.00 168 3.60e+22 51.94 2.00 0.48 1.87
Eccentricity 3 5 4.20 4.00 168 6.76e+24 57.17 0.46 0.11 0.64
Triangulated primal graph
Density: 23.59%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.41 1.00 None 0.74 None None None None None 3.03
Degree 1 23 9.20 6.00 368 4.80e+31 72.95 7.08 0.77 2.71
Eccentricity 2 4 2.95 3.00 118 3.37e+18 42.66 0.50 0.17 0.73
Dual graph
Density: 10.01%
MCB compute time (ms): 45
MCB cycles: 272
Triangles: 490
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 0.52 0.48 43.71 0.00 -56.83 0.12 0.24 3.06
Degree 4 16 8.31 8.00 698 MAX VALUE 173.38 2.75 0.33 2.29
Eccentricity 3 5 4.04 4.00 339 MAX VALUE 116.99 0.29 0.07 0.34
MCB cycle size 3 6 3.23 3.00 878 MAX VALUE 314.99 0.62 0.19 0.56
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 7 6.50 6.50 546 MAX VALUE 156.98 0.50 0.08 0.69
MCB cycle size 4 9 7.67 8.00 345 MAX VALUE 90.98 1.21 0.16 1.42
Triangulated dual graph
Density: 29.52%
Triangles: 7,660
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.79 0.76 66.08 0.00 -21.31 0.13 0.17 3.82
Degree 4 51 24.50 24.00 2,058 MAX VALUE 246.97 15.11 0.62 3.43
Eccentricity 2 4 2.80 3.00 235 9.60e+36 85.16 0.46 0.16 0.64
Triangulated minimal dual graph
Density: 13.20%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 0.75 0.67 63.37 0.00 -26.37 0.19 0.25 2.71
Degree 2 33 10.95 5.00 920 MAX VALUE 162.83 10.23 0.93 2.72
Eccentricity 3 5 4.06 4.00 341 MAX VALUE 116.66 0.62 0.15 0.94
Incidence graph
Density: 2.20%
MCB compute time (ms): 23
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 0.79
Degree 1 10 2.71 2.00 336 MAX VALUE 110.16 1.53 0.57 1.03
Eccentricity 7 10 8.77 9.00 1,088 MAX VALUE 268.94 0.67 0.08 1.01
MCB cycle size 6 12 8.31 8.00 374 MAX VALUE 94.22 1.84 0.22 1.25