Instance: rand-2-40-11-414-200-29_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:40
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 3 11 8.79 9.00 80,014 MAX VALUE 19,679.30 1.33 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 245.00 0.00 -262.76 0.08 0.15 1.30
Tightness 0.11 0.31 0.20 0.20 83.36 0.00 -670.17 0.04 0.18 2.85
Tuples 83 108 96.64 97.00 40,007 MAX VALUE 1,891.95 4.32 0.04 2.85
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 26 20.70 21.00 828 MAX VALUE 120.84 2.76 0.13 2.23
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: 10
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 72 259 160.30 143.00 1,603 3.50e+21 49.61 73.60 0.46 2.16
Cluster variables 16 31 23.50 22.50 235 3.69e+13 31.24 5.95 0.25 1.70
Separator constraints 0 241 118.90 86.50 1,189 0 None 76.35 0.64 2.16
Separator variables 0 30 19.50 18.00 195 0 None 8.45 0.43 1.83
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
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 216 2,806 842.84 592.00 32,028 MAX VALUE 247.01 663.16 0.79 3.64
Cluster variables 29 236 76.66 50.00 2,913 MAX VALUE 157.70 54.08 0.71 3.32
Separator constraints 0 1,674 624.21 509.50 23,720 0 None 392.95 0.63 3.64
Separator variables 0 182 65.76 47.00 2,499 0 None 41.06 0.62 3.39
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 0.45 0.57 0.53 0.53 21.12 0.00 -25.59 0.03 0.05 3.40
Degree 15 26 20.70 21.00 828 MAX VALUE 120.84 2.76 0.13 2.23
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 84.62%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.84 1.00 0.92 0.91 36.81 0.03 -3.36 0.04 0.04 3.01
Degree 15 39 33.00 36.00 1,320 MAX VALUE 138.74 6.57 0.20 2.07
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.72%
MCB compute time (ms): 27,187
MCB cycles: 7,998
Triangles: 55,280
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 0.54 0.51 0.50 209.32 0.00 -282.40 0.01 0.01 4.81
Degree 28 50 40.14 40.00 16,616 MAX VALUE 1,526.76 3.74 0.09 2.72
Eccentricity 2 3 3.00 3.00 1,240 MAX VALUE 454.01 0.07 0.02 0.03
MCB cycle size 3 4 3.00 3.00 23,998 MAX VALUE 8,787.85 0.02 0.01 0.00
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,749
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 543.03 0.87 0.23 1.20
Eccentricity 6 10 8.44 8.00 3,496 MAX VALUE 881.49 0.78 0.09 1.16
MCB cycle size 4 9 6.48 7.00 2,431 MAX VALUE 694.24 1.17 0.18 1.55
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: 10.21%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.83 0.80 344.09 0.00 -82.08 0.13 0.16 3.82
Degree 2 142 42.17 8.00 17,460 MAX VALUE 1,118.29 52.60 1.25 3.47
Eccentricity 3 6 4.54 5.00 1,881 MAX VALUE 623.24 0.57 0.13 0.85
Incidence graph
Density: 0.81%
MCB compute time (ms): 621
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 26 3.65 2.00 1,656 MAX VALUE 407.80 5.36 1.47 0.49
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