Instance: rand-2-40-80-103-800-62_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:52
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: 16,320
Number of unique subscopes: 38
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 30 16.02 16.00 261,415 MAX VALUE 44,839.20 3.58 0.22 2.69
Relational linkage 0.05 0.26 0.15 0.15 457.69 0.00 -5,818.26 0.03 0.20 2.28
Tightness 0.78 0.81 0.80 0.80 82.38 0.00 -23.01 0.01 0.01 4.16
Tuples 1,196 1,382 1,281.33 1,280.00 131,977 MAX VALUE 736.99 36.97 0.03 4.16
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 5.37 5.00 204 2.33e+26 60.71 2.11 0.39 2.06
Partitions per subscope 80 80 80.00 80.00 3,040 MAX VALUE 166.52 0.00 0.00 0.00
Tree decomposition
Number of clusters: 29
Number of leaves: 13
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 15 6.59 6.00 191 5.71e+20 47.79 4.13 0.63 2.37
Cluster variables 2 12 6.38 6.00 185 4.63e+21 49.89 3.21 0.50 2.23
Separator constraints 0 12 3.03 2.00 88 0 None 3.48 1.15 1.96
Separator variables 0 11 5.00 4.00 145 0 None 3.17 0.63 2.31
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 3 83 33.29 27.50 1,265 MAX VALUE 123.23 21.53 0.65 3.25
Cluster variables 3 37 13.89 11.00 528 MAX VALUE 94.01 8.15 0.59 2.80
Separator constraints 0 45 19.34 16.00 735 0 None 13.36 0.69 3.21
Separator variables 0 26 11.18 10.00 425 0 None 6.33 0.57 2.78
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 1.00 None 0.17 None None None None None 2.73
Degree 1 11 5.15 5.00 206 2.33e+26 60.71 2.26 0.44 2.15
Eccentricity 3 5 3.98 4.00 159 5.77e+23 54.71 0.61 0.15 0.92
Triangulated primal graph
Density: 27.05%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 1.00 None 0.77 None None None None None 3.14
Degree 1 23 10.55 7.50 422 7.00e+34 80.23 7.53 0.71 2.82
Eccentricity 2 4 3.40 3.00 136 1.08e+21 48.43 0.54 0.16 0.78
Dual graph
Density: 10.09%
MCB compute time (ms): 89
MCB cycles: 445
Triangles: 927
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 53.73 0.00 -68.56 0.10 0.19 3.50
Degree 2 18 10.29 10.00 1,060 MAX VALUE 234.95 3.05 0.30 2.44
Eccentricity 3 5 3.91 4.00 403 MAX VALUE 140.07 0.34 0.09 0.43
MCB cycle size 3 5 3.14 3.00 1,397 MAX VALUE 506.01 0.41 0.13 0.42
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 19
MCB cycles: 64
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 5 3.22 3.00 332 MAX VALUE 117.87 0.72 0.22 1.09
Eccentricity 6 8 6.81 7.00 701 MAX VALUE 197.02 0.68 0.10 1.00
MCB cycle size 4 9 6.73 7.00 431 MAX VALUE 120.76 1.30 0.19 1.61
Triangulated dual graph
Density: 33.10%
Triangles: 18,259
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 0.80 0.78 82.05 0.00 -24.47 0.11 0.14 4.13
Degree 2 66 33.77 35.00 3,478 MAX VALUE 335.72 19.93 0.59 3.70
Eccentricity 2 4 2.91 3.00 300 MAX VALUE 108.45 0.50 0.17 0.74
Triangulated minimal dual graph
Density: 11.63%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.75 0.67 77.37 0.00 -32.80 0.19 0.25 2.91
Degree 2 36 11.86 5.00 1,222 MAX VALUE 204.58 11.52 0.97 2.79
Eccentricity 3 5 3.90 4.00 402 MAX VALUE 139.01 0.60 0.15 0.90
Incidence graph
Density: 2.03%
MCB compute time (ms): 25
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 0.51
Degree 1 11 2.88 2.00 412 MAX VALUE 132.10 1.85 0.64 1.10
Eccentricity 7 11 8.36 8.00 1,195 MAX VALUE 302.91 0.82 0.10 1.20
MCB cycle size 6 10 7.31 8.00 468 MAX VALUE 126.30 1.33 0.18 0.96