Instance: rand-2-40-40-135-650-85_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: 10,800
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 27 14.01 14.00 151,294 MAX VALUE 28,242.50 3.03 0.22 2.52
Relational linkage 0.10 0.45 0.26 0.25 409.57 0.00 -2,210.81 0.05 0.19 2.08
Tightness 0.62 0.68 0.65 0.65 87.72 0.00 -58.23 0.01 0.02 4.02
Tuples 506 613 560.35 559.00 75,647 MAX VALUE 854.27 20.20 0.04 4.02
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 6.00 270 8.89e+31 73.56 2.41 0.36 2.16
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: 25
Number of leaves: 10
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 28 11.20 8.00 280 5.99e+23 54.75 7.69 0.69 2.55
Cluster variables 3 16 8.44 7.00 211 1.03e+22 50.69 3.91 0.46 2.35
Separator constraints 0 24 5.80 2.00 145 0 None 6.97 1.20 2.26
Separator variables 0 15 6.84 6.00 171 0 None 3.85 0.56 2.40
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 9 171 62.82 46.00 2,387 MAX VALUE 148.06 42.96 0.68 3.56
Cluster variables 6 55 20.13 16.50 765 MAX VALUE 107.61 12.68 0.63 3.16
Separator constraints 0 114 39.34 32.00 1,495 0 None 26.55 0.67 3.33
Separator variables 0 41 16.58 14.00 630 0 None 9.73 0.59 3.04
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 1.00 0.19 0.16 7.57 0.00 None 0.18 0.96 3.09
Degree 2 13 6.75 6.00 270 8.89e+31 73.56 2.41 0.36 2.16
Eccentricity 3 4 3.17 3.00 127 9.11e+19 45.96 0.38 0.12 0.46
Triangulated primal graph
Density: 37.31%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.80 0.77 32.05 0.00 -9.52 0.14 0.18 3.00
Degree 2 28 14.55 14.50 582 MAX VALUE 97.25 8.64 0.59 2.69
Eccentricity 2 3 2.55 3.00 102 8.23e+15 36.65 0.50 0.20 0.69
Dual graph
Density: 9.86%
MCB compute time (ms): 479
MCB cycles: 796
Triangles: 1,974
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 0.79 0.51 0.50 68.94 0.00 -91.52 0.06 0.12 3.95
Degree 5 21 13.21 13.00 1,784 MAX VALUE 344.01 3.25 0.25 2.54
Eccentricity 3 4 3.31 3.00 447 MAX VALUE 160.40 0.46 0.14 0.62
MCB cycle size 3 5 3.12 3.00 2,487 MAX VALUE 902.14 0.38 0.12 0.39
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 63
MCB cycles: 96
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 3.41 3.00 460 MAX VALUE 162.62 0.69 0.20 1.04
Eccentricity 6 8 6.73 7.00 908 MAX VALUE 256.85 0.55 0.08 0.81
MCB cycle size 4 10 6.89 7.00 661 MAX VALUE 183.94 1.07 0.16 1.42
Triangulated dual graph
Density: 40.50%
Triangles: 62,495
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.82 0.81 110.54 0.00 -27.97 0.10 0.12 4.36
Degree 5 97 54.27 63.00 7,326 MAX VALUE 508.01 28.86 0.53 3.88
Eccentricity 2 3 2.58 3.00 348 MAX VALUE 125.20 0.49 0.19 0.68
Triangulated minimal dual graph
Density: 12.38%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.78 0.73 105.40 0.00 -36.32 0.16 0.21 3.15
Degree 2 53 16.59 7.00 2,240 MAX VALUE 298.62 17.15 1.03 2.94
Eccentricity 3 5 3.72 4.00 502 MAX VALUE 175.90 0.53 0.14 0.77
Incidence graph
Density: 1.77%
MCB compute time (ms): 71
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 167.14 2.30 0.75 1.00
Eccentricity 6 9 7.17 7.00 1,255 MAX VALUE 344.08 0.64 0.09 0.97
MCB cycle size 6 10 7.08 8.00 680 MAX VALUE 186.78 1.11 0.16 0.81