Instance: rand-2-40-80-103-800-16_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:51
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 33 16.08 16.00 262,456 MAX VALUE 44,902.00 3.60 0.22 2.70
Relational linkage 0.05 0.30 0.15 0.15 458.99 0.00 -5,812.18 0.03 0.20 2.30
Tightness 0.78 0.81 0.80 0.80 82.30 0.00 -23.11 0.01 0.01 4.14
Tuples 1,212 1,382 1,286.16 1,285.00 132,474 MAX VALUE 737.38 33.76 0.03 4.14
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 10 5.37 5.00 204 3.37e+26 61.08 1.94 0.36 2.02
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: 28
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 14 5.96 5.00 167 8.79e+18 43.62 3.68 0.62 2.48
Cluster variables 2 13 6.43 5.00 180 1.14e+21 48.49 3.25 0.50 2.25
Separator constraints 0 12 2.29 1.00 64 0 None 3.23 1.41 1.70
Separator variables 0 12 5.00 4.00 140 0 None 3.14 0.63 2.29
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 6 75 32.08 29.50 1,219 MAX VALUE 123.61 19.58 0.61 3.33
Cluster variables 4 37 14.13 11.00 537 MAX VALUE 94.70 8.36 0.59 2.99
Separator constraints 0 41 18.47 19.50 702 0 None 11.62 0.63 3.03
Separator variables 0 28 11.42 9.50 434 0 None 6.45 0.56 2.75
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 0.30 None 0.09 None None None None None 2.26
Degree 1 10 5.15 5.00 206 3.37e+26 61.08 2.12 0.41 2.12
Eccentricity 3 5 4.10 4.00 164 2.28e+24 56.09 0.54 0.13 0.80
Triangulated primal graph
Density: 27.95%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 None 0.76 None None None None None 3.13
Degree 1 25 10.90 8.00 436 3.04e+35 81.70 7.75 0.71 2.65
Eccentricity 3 5 3.52 3.00 141 4.49e+21 49.86 0.59 0.17 0.85
Dual graph
Density: 9.84%
MCB compute time (ms): 129
MCB cycles: 425
Triangles: 842
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 0.51 0.49 52.81 0.00 -70.29 0.10 0.19 3.52
Degree 3 15 10.04 10.00 1,034 MAX VALUE 233.70 2.52 0.25 2.25
Eccentricity 3 5 3.84 4.00 396 MAX VALUE 138.06 0.41 0.11 0.56
MCB cycle size 3 5 3.17 3.00 1,348 MAX VALUE 486.94 0.46 0.15 0.48
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 24
MCB cycles: 64
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.67 0.00 None 0.04 6.13 0.15
Degree 2 5 3.22 3.00 332 MAX VALUE 118.65 0.61 0.19 0.92
Eccentricity 6 8 6.75 7.00 695 MAX VALUE 196.28 0.57 0.08 0.85
MCB cycle size 3 9 7.00 7.00 448 MAX VALUE 123.24 1.31 0.19 1.61
Triangulated dual graph
Density: 34.34%
Triangles: 19,628
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.60 1.00 0.80 0.79 82.42 0.00 -24.00 0.11 0.14 4.20
Degree 3 67 35.03 35.00 3,608 MAX VALUE 339.94 20.32 0.58 3.81
Eccentricity 2 4 2.93 3.00 302 MAX VALUE 109.73 0.40 0.14 0.55
Triangulated minimal dual graph
Density: 12.01%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 1.00 0.76 0.69 78.23 0.00 -31.50 0.19 0.25 2.97
Degree 2 40 12.25 6.00 1,262 MAX VALUE 209.67 11.77 0.96 2.94
Eccentricity 3 5 3.73 4.00 384 MAX VALUE 134.35 0.56 0.15 0.83
Incidence graph
Density: 2.03%
MCB compute time (ms): 36
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 0.73
Degree 1 10 2.88 2.00 412 MAX VALUE 132.48 1.80 0.63 1.09
Eccentricity 6 11 8.45 9.00 1,209 MAX VALUE 304.46 0.88 0.10 1.26
MCB cycle size 6 10 7.72 8.00 494 MAX VALUE 130.04 1.17 0.15 0.87