Instance: rand-2-40-40-135-650-38_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:40
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: 10,800
Number of unique subscopes: 40
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 25 14.05 14.00 151,738 MAX VALUE 28,279.10 3.00 0.21 2.52
Relational linkage 0.07 0.42 0.26 0.25 408.93 0.00 -2,213.28 0.05 0.19 2.07
Tightness 0.62 0.68 0.65 0.65 87.58 0.00 -58.44 0.01 0.02 3.94
Tuples 513 604 561.99 562.00 75,869 MAX VALUE 854.67 18.99 0.03 3.94
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 11 6.75 6.00 270 1.61e+32 74.16 2.19 0.32 2.02
Partitions per subscope 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 24
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 3 33 13.00 8.50 312 2.00e+24 55.95 8.95 0.69 2.72
Cluster variables 4 16 9.00 8.00 216 7.77e+21 50.40 3.95 0.44 2.28
Separator constraints 0 25 7.38 3.00 177 0 None 7.89 1.07 2.44
Separator variables 0 14 7.33 6.50 176 0 None 3.91 0.53 2.28
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 10 165 60.42 46.50 2,296 MAX VALUE 146.93 39.80 0.66 3.40
Cluster variables 7 55 20.03 17.00 761 MAX VALUE 107.95 12.18 0.61 2.95
Separator constraints 0 84 37.47 31.50 1,424 0 None 24.16 0.64 3.24
Separator variables 0 40 16.47 14.50 626 0 None 9.31 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 0.16 0.14 6.23 0.00 None 0.12 0.75 2.88
Degree 3 11 6.75 6.00 270 1.61e+32 74.16 2.19 0.32 2.02
Eccentricity 3 4 3.17 3.00 127 9.11e+19 45.96 0.38 0.12 0.46
Triangulated primal graph
Density: 39.74%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.81 0.76 32.24 0.00 -9.23 0.14 0.17 2.88
Degree 3 29 15.50 17.00 620 MAX VALUE 100.72 8.66 0.56 2.83
Eccentricity 2 3 2.58 3.00 103 1.23e+16 37.05 0.49 0.19 0.68
Dual graph
Density: 9.64%
MCB compute time (ms): 463
MCB cycles: 836
Triangles: 1,839
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 0.67 0.50 0.49 67.72 0.00 -93.64 0.05 0.09 3.69
Degree 6 19 12.92 13.00 1,744 MAX VALUE 341.37 3.03 0.23 2.48
Eccentricity 3 4 3.38 3.00 456 MAX VALUE 162.98 0.48 0.14 0.66
MCB cycle size 3 5 3.20 3.00 2,675 MAX VALUE 965.39 0.45 0.14 0.53
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 0.02 0.00 2.20 0.00 None 0.06 3.46 0.38
Degree 2 5 3.41 3.00 460 MAX VALUE 162.52 0.69 0.20 1.05
Eccentricity 6 8 6.76 7.00 913 MAX VALUE 257.64 0.52 0.08 0.76
MCB cycle size 3 10 6.81 7.00 654 MAX VALUE 181.94 1.32 0.19 1.54
Triangulated dual graph
Density: 39.46%
Triangles: 59,329
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.79 110.06 0.00 -28.61 0.10 0.13 4.44
Degree 6 91 52.87 54.00 7,138 MAX VALUE 504.75 28.54 0.54 3.86
Eccentricity 2 3 2.50 3.00 338 MAX VALUE 121.15 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.90%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.78 0.68 105.41 0.00 -36.41 0.17 0.21 3.10
Degree 2 51 15.94 7.00 2,152 MAX VALUE 292.07 16.77 1.05 2.91
Eccentricity 3 5 3.82 4.00 516 MAX VALUE 179.60 0.54 0.14 0.81
Incidence graph
Density: 1.77%
MCB compute time (ms): 60
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 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 11 3.09 2.00 540 MAX VALUE 167.73 2.25 0.73 1.00
Eccentricity 6 8 7.22 7.00 1,263 MAX VALUE 345.20 0.63 0.09 0.94
MCB cycle size 6 10 7.12 8.00 684 MAX VALUE 187.48 1.03 0.15 0.74