Instance: rand-2-40-180-84-900-11_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:26
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: 30,060
Number of unique subscopes: 39
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 17.98 18.00 540,580 MAX VALUE 86,071.80 4.02 0.22 2.80
Relational linkage 0.02 0.14 0.08 0.08 547.37 0.00 -18,059.60 0.02 0.20 2.45
Tightness 0.90 0.91 0.90 0.90 75.61 0.00 -8.84 0.00 0.00 4.19
Tuples 3,060 3,347 3,236.38 3,238.00 271,856 MAX VALUE 678.89 61.02 0.02 4.19
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 8 4.28 4.00 167 1.83e+23 53.56 1.71 0.40 1.82
Partitions per subscope 180 180 180.00 180.00 7,020 MAX VALUE 202.53 0.00 0.00 0.00
Tree decomposition
Number of clusters: 30
Number of leaves: 13
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 1 9 4.07 3.50 122 4.30e+16 38.30 2.06 0.51 1.88
Cluster variables 2 10 5.33 5.00 160 4.18e+20 47.48 2.34 0.44 1.92
Separator constraints 0 5 1.27 1.00 38 0 None 1.55 1.22 1.49
Separator variables 0 9 4.00 3.00 120 0 None 2.31 0.58 1.97
Dual tree decomposition
Number of clusters: 38
Number of leaves: 12
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 4 40 17.42 13.00 662 MAX VALUE 100.67 11.14 0.64 2.98
Cluster variables 4 25 10.08 8.50 383 1.35e+36 83.19 5.35 0.53 2.53
Separator constraints 0 27 8.71 6.00 331 0 None 6.70 0.77 2.79
Separator variables 0 20 7.87 7.00 299 0 None 4.19 0.53 2.44
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 0.83 None 0.17 None None None None None 2.32
Degree 1 8 4.20 4.00 168 1.83e+23 53.56 1.76 0.42 1.89
Eccentricity 3 5 4.38 4.00 175 3.22e+25 58.73 0.53 0.12 0.78
Triangulated primal graph
Density: 21.67%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 None 0.68 None None None None None 2.76
Degree 1 20 8.45 5.00 338 2.69e+31 72.37 6.24 0.74 2.47
Eccentricity 3 4 3.42 3.00 137 1.62e+21 48.84 0.49 0.14 0.68
Dual graph
Density: 9.50%
MCB compute time (ms): 38
MCB cycles: 256
Triangles: 435
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 0.50 42.63 0.00 -57.98 0.08 0.17 3.10
Degree 3 13 7.88 8.00 662 MAX VALUE 168.21 2.66 0.34 2.28
Eccentricity 4 5 4.33 4.00 364 MAX VALUE 122.70 0.47 0.11 0.64
MCB cycle size 3 7 3.24 3.00 830 MAX VALUE 296.92 0.69 0.21 0.54
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 91.43 0.67 0.22 1.00
Eccentricity 6 8 6.88 7.00 578 MAX VALUE 161.65 0.64 0.09 0.96
MCB cycle size 4 9 6.80 7.00 306 1.05e+37 85.25 1.36 0.20 1.62
Triangulated dual graph
Density: 26.45%
Triangles: 6,133
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.78 0.77 65.27 0.00 -22.42 0.13 0.17 3.88
Degree 3 46 21.95 18.50 1,844 MAX VALUE 236.74 14.16 0.64 3.46
Eccentricity 2 4 3.15 3.00 265 MAX VALUE 95.55 0.48 0.15 0.68
Triangulated minimal dual graph
Density: 11.47%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.74 0.67 62.05 0.00 -28.87 0.21 0.28 2.66
Degree 2 30 9.52 5.00 800 MAX VALUE 153.95 8.80 0.92 2.67
Eccentricity 3 5 3.90 4.00 328 MAX VALUE 113.44 0.59 0.15 0.89
Incidence graph
Density: 2.20%
MCB compute time (ms): 24
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 0.51
Degree 1 8 2.71 2.00 336 MAX VALUE 111.79 1.44 0.53 1.06
Eccentricity 7 11 9.25 9.00 1,147 MAX VALUE 275.27 0.89 0.10 1.29
MCB cycle size 6 12 7.96 8.00 358 MAX VALUE 91.96 2.00 0.25 1.27