Instance: rand-2-40-80-103-800-53_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:58:07
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 103
General features
Number of coarse blocks: 16,399
Number of unique subscopes: 39
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 206 1.01e+31 71.39 0.00 0.00 0.00
Coarse blocks size 4 31 16.04 16.00 262,964 MAX VALUE 45,080.50 3.55 0.22 2.68
Relational linkage 0.05 0.25 0.15 0.15 470.31 0.00 -5,964.21 0.03 0.20 2.27
Tightness 0.79 0.81 0.80 0.80 82.36 0.00 -23.04 0.01 0.01 4.11
Tuples 1,213 1,368 1,282.46 1,280.00 132,093 MAX VALUE 737.09 32.52 0.03 4.11
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 11 5.26 5.00 205 9.57e+26 62.13 1.94 0.37 1.87
Partitions per subscope 80 80 80.00 80.00 3,120 MAX VALUE 170.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 28
Number of leaves: 16
Tree depth: 4
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 1 19 6.50 5.00 182 8.13e+19 45.84 4.64 0.71 2.32
Cluster variables 2 13 6.32 5.00 177 1.47e+21 48.74 3.01 0.48 2.04
Separator constraints 0 17 2.82 1.00 79 0 None 4.29 1.52 1.84
Separator variables 0 12 4.89 4.00 137 0 None 2.88 0.59 2.11
Dual tree decomposition
Number of clusters: 38
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 97 31.34 27.50 1,191 MAX VALUE 118.98 23.12 0.74 3.32
Cluster variables 3 39 13.87 11.50 527 MAX VALUE 93.28 8.48 0.61 2.88
Separator constraints 0 59 17.92 15.50 681 0 None 14.36 0.80 3.19
Separator variables 0 27 11.16 10.00 424 0 None 6.58 0.59 2.77
Primal graph
Density: 13.21%
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 0.67 None 0.14 None None None None None 2.25
Degree 1 11 5.15 5.00 206 9.57e+26 62.13 2.03 0.39 1.94
Eccentricity 3 6 4.47 4.00 179 6.79e+25 59.48 0.67 0.15 1.02
Triangulated primal graph
Density: 27.56%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 1.00 None 0.78 None None None None None 2.75
Degree 1 24 10.75 6.50 430 5.92e+35 82.37 7.66 0.71 2.55
Eccentricity 2 4 3.30 3.00 132 3.41e+20 47.28 0.51 0.15 0.74
Dual graph
Density: 9.71%
MCB compute time (ms): 136
MCB cycles: 481
Triangles: 850
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 0.50 0.50 51.93 0.00 -71.64 0.08 0.16 3.31
Degree 2 18 9.90 10.00 1,020 MAX VALUE 230.89 2.97 0.30 2.34
Eccentricity 4 5 4.28 4.00 441 MAX VALUE 149.26 0.45 0.11 0.59
MCB cycle size 3 7 3.35 3.00 1,609 MAX VALUE 572.46 0.69 0.21 0.71
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 43
MCB cycles: 64
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.50 0.00 None 0.03 5.77 0.13
Degree 2 5 3.22 3.00 332 MAX VALUE 118.30 0.65 0.20 0.99
Eccentricity 6 8 6.89 7.00 710 MAX VALUE 198.47 0.59 0.09 0.89
MCB cycle size 3 11 6.91 7.00 442 MAX VALUE 122.16 1.44 0.21 1.73
Triangulated dual graph
Density: 33.89%
Triangles: 19,422
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.80 0.77 82.28 0.00 -24.21 0.12 0.15 4.14
Degree 2 65 34.56 36.00 3,560 MAX VALUE 336.94 20.53 0.59 3.60
Eccentricity 2 4 3.39 3.00 349 MAX VALUE 124.55 0.51 0.15 0.72
Triangulated minimal dual graph
Density: 12.39%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 0.76 0.67 78.14 0.00 -31.35 0.18 0.24 2.99
Degree 2 42 12.64 6.00 1,302 MAX VALUE 209.56 12.34 0.98 2.83
Eccentricity 3 5 3.88 4.00 400 MAX VALUE 138.56 0.58 0.15 0.87
Incidence graph
Density: 2.03%
MCB compute time (ms): 56
MCB cycles: 64
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 0.31
Degree 1 11 2.88 2.00 412 MAX VALUE 133.52 1.78 0.62 1.10
Eccentricity 7 12 9.31 9.00 1,331 MAX VALUE 318.02 1.10 0.12 1.40
MCB cycle size 6 14 7.66 8.00 490 MAX VALUE 129.03 1.56 0.20 1.06