Instance: rand-2-40-40-135-650-43_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:39
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 4 25 14.01 14.00 151,286 MAX VALUE 28,243.80 3.00 0.21 2.52
Relational linkage 0.10 0.42 0.26 0.25 408.82 0.00 -2,214.63 0.05 0.19 2.09
Tightness 0.62 0.68 0.65 0.65 87.72 0.00 -58.22 0.01 0.02 4.00
Tuples 511 615 560.32 559.00 75,643 MAX VALUE 854.27 19.35 0.03 4.00
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 13 6.75 7.00 270 2.08e+32 74.41 2.00 0.30 2.00
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: 23
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 2 29 12.09 10.00 278 4.08e+22 52.06 7.93 0.66 2.60
Cluster variables 3 18 9.39 8.00 216 1.56e+21 48.80 4.54 0.48 2.43
Separator constraints 0 22 6.22 3.00 143 0 None 7.10 1.14 2.25
Separator variables 0 16 7.65 6.00 176 0 None 4.46 0.58 2.43
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 11 157 58.97 52.00 2,241 MAX VALUE 148.24 35.59 0.60 3.44
Cluster variables 6 55 20.00 15.50 760 MAX VALUE 108.19 11.96 0.60 2.87
Separator constraints 0 98 36.45 31.50 1,385 0 None 21.38 0.59 3.40
Separator variables 0 43 16.45 14.00 625 0 None 9.10 0.55 2.97
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 0.18 6.52 0.00 None 0.09 0.58 2.94
Degree 2 13 6.75 7.00 270 2.08e+32 74.41 2.00 0.30 2.00
Eccentricity 3 4 3.17 3.00 127 9.11e+19 45.96 0.38 0.12 0.46
Triangulated primal graph
Density: 42.18%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.82 0.79 32.90 0.00 -8.37 0.14 0.17 2.91
Degree 2 30 16.45 19.50 658 MAX VALUE 102.54 9.25 0.56 2.96
Eccentricity 2 3 2.65 3.00 106 4.16e+16 38.27 0.48 0.18 0.65
Dual graph
Density: 9.46%
MCB compute time (ms): 536
MCB cycles: 737
Triangles: 1,758
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 67.19 0.00 -94.59 0.04 0.08 3.61
Degree 5 21 12.68 13.00 1,712 MAX VALUE 339.49 2.80 0.22 2.38
Eccentricity 3 4 3.47 3.00 469 MAX VALUE 166.72 0.50 0.14 0.69
MCB cycle size 3 5 3.09 3.00 2,279 MAX VALUE 829.05 0.30 0.10 0.31
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 61
MCB cycles: 98
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 162.57 0.69 0.20 1.05
Eccentricity 5 8 6.73 7.00 909 MAX VALUE 256.98 0.56 0.08 0.84
MCB cycle size 3 9 6.78 7.00 664 MAX VALUE 185.75 1.21 0.18 1.58
Triangulated dual graph
Density: 39.09%
Triangles: 58,280
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.77 110.04 0.00 -28.66 0.10 0.13 4.44
Degree 5 89 52.39 47.00 7,072 MAX VALUE 503.57 28.56 0.55 3.57
Eccentricity 2 3 2.51 3.00 339 MAX VALUE 121.55 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.70%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.77 0.68 103.61 0.00 -38.99 0.17 0.22 3.22
Degree 2 48 15.67 7.00 2,116 MAX VALUE 295.63 15.96 1.02 3.02
Eccentricity 3 6 3.99 4.00 538 MAX VALUE 184.94 0.63 0.16 0.95
Incidence graph
Density: 1.77%
MCB compute time (ms): 74
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 13 3.09 2.00 540 MAX VALUE 167.99 2.21 0.72 0.96
Eccentricity 6 9 7.41 7.00 1,296 MAX VALUE 349.80 0.62 0.08 0.92
MCB cycle size 6 10 7.10 8.00 682 MAX VALUE 187.06 1.11 0.16 0.81