Instance: rand-2-40-40-135-650-93_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:35
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 4 27 14.06 14.00 151,259 MAX VALUE 28,180.20 3.00 0.21 2.52
Relational linkage 0.10 0.42 0.26 0.25 400.48 0.00 -2,152.56 0.05 0.19 2.11
Tightness 0.61 0.68 0.65 0.65 87.56 0.00 -58.47 0.01 0.02 3.83
Tuples 520 617 562.30 563.00 75,911 MAX VALUE 854.76 16.90 0.03 3.83
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 3.21e+31 72.55 2.36 0.34 2.18
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: 6
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 11.44 9.00 286 1.74e+23 53.51 8.04 0.70 2.79
Cluster variables 2 16 8.52 7.00 213 6.43e+21 50.22 4.19 0.49 2.41
Separator constraints 0 24 6.04 3.00 151 0 None 6.58 1.09 2.20
Separator variables 0 15 6.92 6.00 173 0 None 4.15 0.60 2.47
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 7 172 62.39 52.50 2,371 MAX VALUE 144.87 45.21 0.72 3.49
Cluster variables 5 55 19.63 16.00 746 MAX VALUE 106.05 12.64 0.64 3.03
Separator constraints 0 92 38.66 31.00 1,469 0 None 28.61 0.74 3.42
Separator variables 0 42 16.08 14.00 611 0 None 9.86 0.61 2.95
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 0.21 None None None None None 2.95
Degree 1 11 6.75 7.00 270 3.21e+31 72.55 2.51 0.37 2.24
Eccentricity 3 4 3.50 3.50 140 3.83e+21 49.70 0.50 0.14 0.69
Triangulated primal graph
Density: 37.56%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 None 0.79 None None None None None 3.21
Degree 1 28 14.65 15.00 586 MAX VALUE 96.40 8.78 0.60 3.11
Eccentricity 2 4 3.20 3.00 128 1.08e+20 46.13 0.46 0.14 0.64
Dual graph
Density: 9.97%
MCB compute time (ms): 344
MCB cycles: 841
Triangles: 1,991
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 68.50 0.00 -92.39 0.06 0.12 3.71
Degree 4 19 13.36 14.00 1,804 MAX VALUE 344.77 3.30 0.25 2.53
Eccentricity 3 4 3.54 4.00 478 MAX VALUE 169.31 0.50 0.14 0.69
MCB cycle size 3 6 3.17 3.00 2,666 MAX VALUE 962.33 0.50 0.16 0.47
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 55
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 1.33 0.00 None 0.05 4.93 0.21
Degree 2 5 3.41 3.00 460 MAX VALUE 162.62 0.69 0.20 1.04
Eccentricity 6 8 6.93 7.00 935 MAX VALUE 260.89 0.51 0.07 0.75
MCB cycle size 3 10 6.57 7.00 631 MAX VALUE 178.60 1.31 0.20 1.65
Triangulated dual graph
Density: 39.07%
Triangles: 58,916
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.82 0.79 110.15 0.00 -28.49 0.10 0.12 4.24
Degree 4 92 52.36 62.00 7,068 MAX VALUE 501.51 28.85 0.55 3.69
Eccentricity 2 3 2.59 3.00 350 MAX VALUE 126.01 0.49 0.19 0.68
Triangulated minimal dual graph
Density: 11.07%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 0.76 0.71 103.10 0.00 -39.94 0.17 0.23 3.08
Degree 2 49 14.83 6.00 2,002 MAX VALUE 290.50 15.14 1.02 2.94
Eccentricity 3 5 3.80 4.00 513 MAX VALUE 178.67 0.57 0.15 0.85
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 None 0.00 None None None None None 0.43
Degree 1 11 3.09 2.00 540 MAX VALUE 166.12 2.33 0.75 1.02
Eccentricity 6 9 7.62 8.00 1,334 MAX VALUE 354.58 0.76 0.10 1.13
MCB cycle size 6 10 6.83 6.00 656 MAX VALUE 183.19 1.18 0.17 0.81