Instance: rand-2-40-180-84-900-6_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:15
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: 29,340
Number of unique subscopes: 35
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 35 17.96 18.00 527,046 MAX VALUE 83,969.80 4.02 0.22 2.81
Relational linkage 0.02 0.14 0.08 0.08 480.67 0.00 -16,342.30 0.02 0.20 2.42
Tightness 0.90 0.91 0.90 0.90 75.61 0.00 -8.83 0.00 0.00 4.06
Tuples 3,076 3,339 3,234.23 3,239.00 271,675 MAX VALUE 678.84 48.62 0.02 4.06
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 9 4.66 5.00 163 2.70e+22 51.65 1.62 0.35 1.77
Partitions per subscope 180 180 180.00 180.00 6,300 MAX VALUE 181.75 0.00 0.00 0.00
Tree decomposition
Number of clusters: 30
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 12 4.13 3.00 124 4.88e+14 33.82 3.07 0.74 2.14
Cluster variables 2 11 5.13 4.00 154 4.70e+19 45.30 2.58 0.50 2.06
Separator constraints 0 10 1.33 0.00 40 0 None 2.37 1.78 1.34
Separator variables 0 10 3.80 3.00 114 0 None 2.44 0.64 2.11
Dual tree decomposition
Number of clusters: 37
Number of leaves: 13
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 2 59 19.97 15.00 739 MAX VALUE 98.58 15.08 0.76 3.25
Cluster variables 3 28 10.73 9.00 397 3.41e+35 81.82 6.39 0.60 2.77
Separator constraints 0 36 10.68 9.00 395 0 None 8.92 0.84 2.81
Separator variables 0 22 8.46 8.00 313 0 None 5.06 0.60 2.73
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 2.15
Degree 1 9 4.20 4.50 168 2.70e+22 51.65 1.94 0.46 1.92
Eccentricity 4 6 4.85 5.00 194 1.72e+27 62.71 0.73 0.15 1.05
Triangulated primal graph
Density: 21.67%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.30 1.00 None 0.76 None None None None None 3.40
Degree 1 22 8.45 6.50 338 1.99e+30 69.77 6.57 0.78 2.60
Eccentricity 3 5 3.75 4.00 150 4.93e+22 52.25 0.66 0.18 0.97
Dual graph
Density: 9.87%
MCB compute time (ms): 50
MCB cycles: 270
Triangles: 453
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 0.51 0.47 42.81 0.00 -58.88 0.14 0.27 3.06
Degree 2 13 8.19 8.00 688 MAX VALUE 171.52 2.59 0.32 2.29
Eccentricity 3 6 4.54 5.00 381 MAX VALUE 126.30 0.59 0.13 0.88
MCB cycle size 3 6 3.22 3.00 870 MAX VALUE 312.82 0.55 0.17 0.57
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 14
MCB cycles: 45
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 1.03
Degree 1 4 3.05 3.00 256 MAX VALUE 91.21 0.65 0.21 0.96
Eccentricity 6 8 6.93 7.00 582 MAX VALUE 162.16 0.70 0.10 1.03
MCB cycle size 4 9 7.16 7.00 322 1.33e+38 87.78 1.26 0.18 1.59
Triangulated dual graph
Density: 29.95%
Triangles: 8,143
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.79 0.78 66.30 0.00 -21.01 0.13 0.17 3.79
Degree 2 51 24.86 23.50 2,088 MAX VALUE 245.57 15.55 0.63 3.55
Eccentricity 2 4 2.87 3.00 241 5.39e+37 86.88 0.55 0.19 0.82
Triangulated minimal dual graph
Density: 12.45%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.42 1.00 None 0.67 None None None None None 3.13
Degree 1 32 10.33 6.00 868 MAX VALUE 159.27 9.45 0.91 2.84
Eccentricity 3 5 3.81 4.00 320 MAX VALUE 111.46 0.55 0.14 0.81
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 0.86
Degree 1 9 2.71 2.00 336 MAX VALUE 109.87 1.51 0.56 1.17
Eccentricity 7 13 9.92 10.00 1,230 MAX VALUE 283.52 1.25 0.13 1.58
MCB cycle size 6 12 8.22 8.00 370 MAX VALUE 94.01 1.59 0.19 1.06