Instance: rand-2-40-180-84-900-10_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:28
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 3 37 17.99 18.00 540,811 MAX VALUE 86,070.40 4.04 0.22 2.81
Relational linkage 0.02 0.14 0.08 0.08 547.15 0.00 -18,072.10 0.02 0.21 2.48
Tightness 0.90 0.90 0.90 0.90 75.60 0.00 -8.85 0.00 0.00 4.24
Tuples 3,094 3,367 3,238.49 3,234.50 272,033 MAX VALUE 678.95 57.74 0.02 4.24
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 1.48e+23 53.35 1.77 0.41 1.77
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: 31
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 1 9 3.84 3.00 119 5.53e+16 38.55 1.76 0.46 1.78
Cluster variables 2 10 5.06 5.00 157 5.64e+20 47.78 2.11 0.42 1.86
Separator constraints 0 6 1.13 1.00 35 0 None 1.58 1.40 1.38
Separator variables 0 8 3.77 3.00 117 0 None 2.03 0.54 1.86
Dual tree decomposition
Number of clusters: 38
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 4 48 18.03 14.00 685 MAX VALUE 102.39 11.64 0.65 3.16
Cluster variables 4 25 10.26 8.00 390 2.15e+36 83.66 5.59 0.55 2.55
Separator constraints 0 26 9.21 7.00 350 0 None 7.00 0.76 2.84
Separator variables 0 19 8.05 7.00 306 0 None 4.37 0.54 2.54
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 1.00 None 0.10 None None None None None 2.06
Degree 1 8 4.20 4.00 168 1.48e+23 53.35 1.82 0.43 1.85
Eccentricity 3 5 4.15 4.00 166 3.56e+24 56.53 0.57 0.14 0.86
Triangulated primal graph
Density: 20.77%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.32 1.00 None 0.71 None None None None None 2.82
Degree 1 24 8.10 5.50 324 4.35e+30 70.55 6.22 0.77 2.55
Eccentricity 2 4 3.52 4.00 141 4.54e+21 49.87 0.55 0.16 0.78
Dual graph
Density: 9.61%
MCB compute time (ms): 39
MCB cycles: 260
Triangles: 445
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 0.49 43.45 0.00 -56.95 0.11 0.21 3.11
Degree 3 14 7.98 8.00 670 MAX VALUE 170.23 2.46 0.31 2.27
Eccentricity 3 5 4.14 4.00 348 MAX VALUE 118.93 0.44 0.11 0.62
MCB cycle size 3 6 3.24 3.00 843 MAX VALUE 302.12 0.63 0.19 0.57
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 13
MCB cycles: 45
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.83 0.00 None 0.05 5.41 0.18
Degree 2 4 3.05 3.00 256 MAX VALUE 91.90 0.60 0.20 0.90
Eccentricity 5 8 6.92 7.00 581 MAX VALUE 162.16 0.56 0.08 0.79
MCB cycle size 3 9 6.96 7.00 313 2.11e+37 85.94 1.55 0.22 1.73
Triangulated dual graph
Density: 27.51%
Triangles: 6,702
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.78 0.76 65.65 0.00 -21.90 0.13 0.17 3.81
Degree 3 49 22.83 20.50 1,918 MAX VALUE 239.71 14.51 0.64 3.46
Eccentricity 2 4 2.86 3.00 240 4.55e+37 86.71 0.52 0.18 0.76
Triangulated minimal dual graph
Density: 11.70%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.41 1.00 0.74 0.67 62.57 0.00 -27.94 0.20 0.27 2.74
Degree 2 33 9.71 5.00 816 MAX VALUE 155.87 9.00 0.93 2.71
Eccentricity 3 5 4.07 4.00 342 MAX VALUE 117.01 0.59 0.15 0.89
Incidence graph
Density: 2.20%
MCB compute time (ms): 22
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 0.55
Degree 1 8 2.71 2.00 336 MAX VALUE 111.58 1.46 0.54 1.03
Eccentricity 7 11 8.80 9.00 1,091 MAX VALUE 269.05 0.86 0.10 1.27
MCB cycle size 6 12 8.18 8.00 368 MAX VALUE 93.51 1.78 0.22 1.25