Instance: rand-2-40-40-135-650-62_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:46
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 13.97 14.00 150,896 MAX VALUE 28,212.80 3.01 0.22 2.52
Relational linkage 0.07 0.42 0.26 0.25 408.62 0.00 -2,217.11 0.05 0.20 2.11
Tightness 0.62 0.69 0.65 0.65 87.84 0.00 -58.03 0.01 0.02 3.97
Tuples 503 602 558.87 559.00 75,448 MAX VALUE 853.92 18.53 0.03 3.97
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 7.91e+31 73.45 2.37 0.35 2.14
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: 12
Tree depth: 4
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 3 31 12.24 11.00 306 4.08e+24 56.67 8.16 0.67 2.62
Cluster variables 3 16 8.60 8.00 215 1.20e+22 50.84 4.07 0.47 2.32
Separator constraints 0 24 6.84 4.00 171 0 None 7.30 1.07 2.44
Separator variables 0 15 7.00 5.00 175 0 None 4.04 0.58 2.38
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 12 155 61.21 55.50 2,326 MAX VALUE 148.16 37.66 0.62 3.46
Cluster variables 6 56 19.76 16.50 751 MAX VALUE 107.34 11.99 0.61 3.01
Separator constraints 0 89 37.82 38.50 1,437 0 None 22.74 0.60 3.37
Separator variables 0 39 16.21 14.50 616 0 None 9.11 0.56 3.09
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 0.22 0.17 8.73 0.00 None 0.20 0.91 2.97
Degree 2 13 6.75 7.00 270 7.91e+31 73.45 2.37 0.35 2.14
Eccentricity 3 4 3.12 3.00 125 5.12e+19 45.38 0.33 0.11 0.38
Triangulated primal graph
Density: 37.82%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.59 1.00 0.81 0.76 32.32 0.00 -9.17 0.14 0.18 2.84
Degree 2 27 14.75 16.00 590 MAX VALUE 97.29 8.75 0.59 2.68
Eccentricity 2 3 2.52 3.00 101 5.48e+15 36.24 0.50 0.20 0.69
Dual graph
Density: 9.83%
MCB compute time (ms): 374
MCB cycles: 865
Triangles: 1,944
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 0.86 0.51 0.49 68.84 0.00 -91.77 0.06 0.12 3.95
Degree 5 22 13.17 13.00 1,778 MAX VALUE 343.85 3.18 0.24 2.54
Eccentricity 3 4 3.48 3.00 470 MAX VALUE 167.01 0.50 0.14 0.69
MCB cycle size 3 5 3.22 3.00 2,784 MAX VALUE 1,002.22 0.51 0.16 0.56
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 1.00 0.00 None 0.05 6.63 0.11
Degree 2 5 3.41 3.00 460 MAX VALUE 162.21 0.73 0.22 1.10
Eccentricity 6 8 6.79 7.00 917 MAX VALUE 258.15 0.57 0.08 0.85
MCB cycle size 3 9 6.66 7.00 639 MAX VALUE 179.76 1.34 0.20 1.63
Triangulated dual graph
Density: 38.87%
Triangles: 57,304
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.81 0.79 109.81 0.00 -28.95 0.10 0.13 4.44
Degree 5 87 52.09 53.00 7,032 MAX VALUE 502.67 28.27 0.54 3.75
Eccentricity 2 3 2.51 3.00 339 MAX VALUE 121.55 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.56%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.78 0.71 104.66 0.00 -37.63 0.17 0.22 3.13
Degree 2 49 15.50 6.00 2,092 MAX VALUE 291.71 16.08 1.04 3.04
Eccentricity 3 5 3.79 4.00 512 MAX VALUE 178.58 0.53 0.14 0.79
Incidence graph
Density: 1.77%
MCB compute time (ms): 61
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 167.02 2.29 0.74 0.97
Eccentricity 6 8 7.34 7.00 1,285 MAX VALUE 348.34 0.58 0.08 0.86
MCB cycle size 6 8 6.94 6.00 666 MAX VALUE 184.96 1.00 0.14 0.69