Instance: rand-2-40-40-135-650-60_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:37
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 26 14.04 14.00 151,073 MAX VALUE 28,161.90 3.02 0.22 2.52
Relational linkage 0.07 0.42 0.25 0.25 397.23 0.00 -2,164.84 0.05 0.19 2.09
Tightness 0.62 0.69 0.65 0.65 87.61 0.00 -58.40 0.01 0.02 4.05
Tuples 504 615 561.66 562.00 75,824 MAX VALUE 854.58 20.24 0.04 4.05
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 11 6.90 7.00 269 3.17e+31 72.53 2.34 0.34 2.19
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: 25
Number of leaves: 12
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 11.48 10.00 287 3.74e+23 54.28 7.85 0.68 2.66
Cluster variables 2 16 8.28 7.00 207 3.01e+21 49.46 4.19 0.51 2.38
Separator constraints 0 24 6.08 3.00 152 0 None 6.86 1.13 2.49
Separator variables 0 15 6.68 6.00 167 0 None 4.12 0.62 2.46
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 6 148 62.16 56.00 2,362 MAX VALUE 149.25 35.77 0.58 3.49
Cluster variables 5 56 19.89 16.50 756 MAX VALUE 107.39 12.23 0.61 3.01
Separator constraints 0 80 38.47 41.00 1,462 0 None 20.77 0.54 3.35
Separator variables 0 42 16.34 14.50 621 0 None 9.39 0.57 2.90
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 0.50 None 0.20 None None None None None 3.19
Degree 1 11 6.75 7.00 270 3.17e+31 72.53 2.49 0.37 2.26
Eccentricity 3 4 3.25 3.00 130 2.16e+20 46.82 0.43 0.13 0.56
Triangulated primal graph
Density: 36.79%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 None 0.77 None None None None None 3.13
Degree 1 29 14.35 14.00 574 MAX VALUE 95.12 8.79 0.61 2.78
Eccentricity 2 4 3.00 3.00 120 6.75e+18 43.36 0.50 0.17 0.74
Dual graph
Density: 9.95%
MCB compute time (ms): 314
MCB cycles: 795
Triangles: 1,964
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 0.51 0.49 69.27 0.00 -91.16 0.07 0.14 3.92
Degree 4 20 13.33 13.00 1,800 MAX VALUE 345.83 2.93 0.22 2.44
Eccentricity 3 4 3.38 3.00 456 MAX VALUE 162.98 0.48 0.14 0.66
MCB cycle size 3 6 3.10 3.00 2,463 MAX VALUE 895.21 0.34 0.11 0.33
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 59
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 0.77 0.00 None 0.04 7.23 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.62 0.69 0.20 1.04
Eccentricity 6 8 6.84 7.00 924 MAX VALUE 259.13 0.61 0.09 0.91
MCB cycle size 3 9 6.72 7.00 645 MAX VALUE 181.15 1.21 0.18 1.57
Triangulated dual graph
Density: 39.19%
Triangles: 58,612
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.64 1.00 0.82 0.79 110.19 0.00 -28.47 0.10 0.13 4.50
Degree 4 93 52.52 56.00 7,090 MAX VALUE 503.45 28.62 0.55 3.90
Eccentricity 2 3 2.59 3.00 349 MAX VALUE 125.61 0.49 0.19 0.68
Triangulated minimal dual graph
Density: 12.27%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.78 0.72 105.31 0.00 -36.60 0.17 0.21 3.17
Degree 2 55 16.44 6.00 2,220 MAX VALUE 298.52 16.89 1.03 3.00
Eccentricity 3 5 3.86 4.00 521 MAX VALUE 180.84 0.56 0.15 0.84
Incidence graph
Density: 1.77%
MCB compute time (ms): 64
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 0.50
Degree 1 11 3.09 2.00 540 MAX VALUE 166.11 2.32 0.75 1.02
Eccentricity 6 9 7.34 7.00 1,285 MAX VALUE 348.31 0.61 0.08 0.91
MCB cycle size 6 10 6.90 6.00 662 MAX VALUE 184.31 1.04 0.15 0.73