Instance: rand-2-40-11-414-200-54_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:45
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 414
General features
Number of coarse blocks: 9,108
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 828 MAX VALUE 286.96 0.00 0.00 0.00
Coarse blocks size 2 11 8.79 9.00 80,034 MAX VALUE 19,681.20 1.32 0.15 1.67
Relational linkage 0.18 0.73 0.55 0.55 244.18 0.00 -264.78 0.08 0.15 1.30
Tightness 0.09 0.31 0.20 0.20 83.28 0.00 -671.68 0.04 0.19 2.92
Tuples 83 110 96.66 97.00 40,017 MAX VALUE 1,892.00 4.63 0.05 2.92
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 29 20.70 21.00 828 MAX VALUE 120.80 2.93 0.14 2.33
Partitions per subscope 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Tree decomposition
Number of clusters: 11
Number of leaves: 5
Tree depth: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 65 245 160.73 170.00 1,768 5.20e+23 54.61 71.54 0.45 2.27
Cluster variables 16 30 23.55 25.00 259 8.76e+14 34.41 5.73 0.24 1.64
Separator constraints 0 227 123.09 86.00 1,354 0 None 76.62 0.62 2.27
Separator variables 0 29 19.91 18.00 219 0 None 8.26 0.41 1.85
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 231 2,888 835.92 548.50 31,765 MAX VALUE 246.82 656.30 0.79 3.56
Cluster variables 30 240 76.66 51.00 2,913 MAX VALUE 157.68 54.21 0.71 3.39
Separator constraints 0 1,596 616.76 492.00 23,437 0 None 376.30 0.61 3.56
Separator variables 0 182 65.76 46.00 2,499 0 None 41.09 0.62 3.35
Primal graph
Density: 53.08%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 0.57 0.52 0.53 20.98 0.00 -25.86 0.02 0.05 3.45
Degree 15 29 20.70 21.00 828 MAX VALUE 120.80 2.93 0.14 2.33
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.83 1.00 0.92 0.90 36.64 0.03 -3.55 0.04 0.05 3.23
Degree 15 39 32.70 35.50 1,308 MAX VALUE 138.32 6.70 0.20 2.31
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.74%
MCB compute time (ms): 35,246
MCB cycles: 8,439
Triangles: 55,717
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.56 0.51 0.50 209.53 0.00 -281.99 0.01 0.02 4.89
Degree 29 53 40.23 40.00 16,656 MAX VALUE 1,527.47 4.05 0.10 2.79
Eccentricity 2 3 3.00 3.00 1,240 MAX VALUE 454.01 0.07 0.02 0.03
MCB cycle size 3 4 3.01 3.00 25,413 MAX VALUE 9,298.81 0.11 0.04 0.06
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,906
MCB cycles: 375
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 6 3.81 4.00 1,576 MAX VALUE 542.28 0.91 0.24 1.21
Eccentricity 6 10 8.20 8.00 3,393 MAX VALUE 869.28 0.72 0.09 1.09
MCB cycle size 4 9 6.65 7.00 2,493 MAX VALUE 703.13 1.24 0.19 1.58
Triangulated dual graph
Density: None%
Triangles: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None None
Degree None None None None None None None None None None
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 9.95%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.83 0.80 343.56 0.00 -82.85 0.14 0.16 3.72
Degree 2 136 41.11 7.50 17,018 MAX VALUE 1,106.37 51.65 1.26 3.42
Eccentricity 3 5 3.73 4.00 1,543 MAX VALUE 540.45 0.52 0.14 0.76
Incidence graph
Density: 0.81%
MCB compute time (ms): 626
MCB cycles: 375
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 29 3.65 2.00 1,656 MAX VALUE 407.76 5.37 1.47 0.50
Eccentricity 5 6 5.91 6.00 2,682 MAX VALUE 805.80 0.29 0.05 0.31
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00