Instance: rand-2-40-40-135-650-4_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:44
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Number of coarse blocks: 10,760
Number of unique subscopes: 39
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 3 28 13.96 14.00 150,160 MAX VALUE 28,095.40 3.01 0.22 2.52
Relational linkage 0.07 0.42 0.25 0.25 396.35 0.00 -2,169.50 0.05 0.20 2.11
Tightness 0.62 0.69 0.65 0.65 87.89 0.00 -57.96 0.01 0.02 4.02
Tuples 501 600 558.29 559.00 75,369 MAX VALUE 853.77 20.25 0.04 4.02
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 12 6.90 6.00 269 2.39e+31 72.25 2.60 0.38 2.22
Partitions per subscope 40 40 40.00 40.00 1,560 MAX VALUE 143.87 0.00 0.00 0.00
Tree decomposition
Number of clusters: 26
Number of leaves: 11
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 29 12.35 9.50 321 1.26e+25 57.79 8.52 0.69 2.84
Cluster variables 2 15 8.12 7.00 211 2.01e+22 51.36 3.78 0.47 2.44
Separator constraints 0 24 7.15 4.00 186 0 None 7.44 1.04 2.48
Separator variables 0 14 6.58 6.00 171 0 None 3.75 0.57 2.49
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 7 191 65.13 51.00 2,475 MAX VALUE 146.96 49.55 0.76 3.49
Cluster variables 5 54 19.68 16.00 748 MAX VALUE 106.39 12.55 0.64 3.05
Separator constraints 0 114 40.79 33.50 1,550 0 None 30.78 0.75 3.37
Separator variables 0 41 16.13 14.50 613 0 None 9.63 0.60 3.19
Primal graph
Density: 17.31%
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 0.20 None None None None None 2.98
Degree 1 12 6.75 6.00 270 2.39e+31 72.25 2.73 0.40 2.28
Eccentricity 3 5 3.55 3.50 142 5.99e+21 50.14 0.59 0.17 0.86
Triangulated primal graph
Density: 35.38%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 None 0.78 None None None None None 3.12
Degree 1 27 13.80 13.50 552 MAX VALUE 93.92 8.49 0.62 2.84
Eccentricity 2 4 2.85 3.00 114 6.66e+17 41.04 0.57 0.20 0.86
Dual graph
Density: 10.23%
MCB compute time (ms): 514
MCB cycles: 853
Triangles: 2,173
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.52 0.50 70.41 0.00 -88.82 0.07 0.13 4.08
Degree 4 22 13.70 14.00 1,850 MAX VALUE 348.06 3.62 0.26 2.67
Eccentricity 3 4 3.44 3.00 465 MAX VALUE 165.57 0.50 0.14 0.69
MCB cycle size 3 5 3.12 3.00 2,661 MAX VALUE 966.14 0.34 0.11 0.38
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 65
MCB cycles: 96
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 0.04 6.90 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.86 0.67 0.20 1.01
Eccentricity 6 8 6.79 7.00 917 MAX VALUE 258.22 0.53 0.08 0.79
MCB cycle size 3 9 6.57 7.00 631 MAX VALUE 179.14 1.13 0.17 1.49
Triangulated dual graph
Density: 39.57%
Triangles: 59,963
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.82 0.79 110.29 0.00 -28.30 0.10 0.12 4.43
Degree 4 93 53.02 59.00 7,158 MAX VALUE 503.95 28.70 0.54 3.88
Eccentricity 2 3 2.60 3.00 351 MAX VALUE 126.42 0.49 0.19 0.67
Triangulated minimal dual graph
Density: 11.31%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.77 0.70 104.22 0.00 -38.67 0.18 0.23 3.16
Degree 2 50 15.16 6.00 2,046 MAX VALUE 292.72 15.41 1.02 3.04
Eccentricity 3 5 3.73 4.00 504 MAX VALUE 176.53 0.50 0.14 0.73
Incidence graph
Density: 1.77%
MCB compute time (ms): 69
MCB cycles: 96
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 0.53
Degree 1 12 3.09 2.00 540 MAX VALUE 165.83 2.38 0.77 1.03
Eccentricity 6 10 7.53 7.00 1,317 MAX VALUE 352.31 0.77 0.10 1.13
MCB cycle size 6 8 6.75 6.00 648 MAX VALUE 182.37 0.97 0.14 0.66