Instance: rand-2-40-11-414-200-64_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:46
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 4 11 8.77 9.00 79,898 MAX VALUE 19,667.80 1.32 0.15 1.67
Relational linkage 0.36 0.73 0.56 0.55 245.82 0.00 -260.37 0.08 0.13 1.21
Tightness 0.11 0.31 0.20 0.20 83.84 0.00 -667.49 0.04 0.17 2.84
Tuples 84 108 96.50 97.00 39,949 MAX VALUE 1,891.36 4.25 0.04 2.84
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 26 20.70 21.00 828 MAX VALUE 120.84 2.71 0.13 2.30
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: 12
Number of leaves: 4
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 62 222 163.08 187.50 1,957 1.19e+26 60.04 60.47 0.37 2.37
Cluster variables 15 29 24.08 26.00 289 2.75e+16 37.85 5.25 0.22 1.91
Separator constraints 0 202 128.58 157.50 1,543 0 None 68.65 0.53 2.48
Separator variables 0 28 20.75 24.50 249 0 None 8.03 0.39 2.09
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 201 3,003 832.26 573.00 31,626 MAX VALUE 246.80 651.76 0.78 3.60
Cluster variables 28 248 76.39 49.50 2,903 MAX VALUE 157.64 53.73 0.70 3.49
Separator constraints 0 1,629 613.76 487.00 23,323 0 None 376.94 0.61 3.60
Separator variables 0 175 65.50 46.50 2,489 0 None 40.71 0.62 3.46
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 0.47 0.58 0.53 0.53 21.07 0.00 -25.68 0.03 0.05 3.55
Degree 14 26 20.70 21.00 828 MAX VALUE 120.84 2.71 0.13 2.30
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.85 1.00 0.91 0.91 36.57 0.03 -3.63 0.04 0.05 3.35
Degree 14 38 32.75 35.50 1,310 MAX VALUE 138.45 6.52 0.20 2.38
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.71%
MCB compute time (ms): 40,898
MCB cycles: 7,956
Triangles: 55,133
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 0.55 0.51 0.50 209.28 0.00 -282.47 0.01 0.01 4.75
Degree 27 49 40.11 40.00 16,606 MAX VALUE 1,526.67 3.56 0.09 2.66
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.00 3.00 23,869 MAX VALUE 8,740.85 0.01 0.00 0.00
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,432
MCB cycles: 375
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.27 0.00 None 0.03 8.47 0.13
Degree 2 6 3.81 4.00 1,576 MAX VALUE 542.24 0.89 0.23 1.23
Eccentricity 7 10 8.56 9.00 3,545 MAX VALUE 887.63 0.71 0.08 1.06
MCB cycle size 3 10 6.52 7.00 2,446 MAX VALUE 695.77 1.23 0.19 1.59
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: 9.35%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 1.00 0.82 0.78 339.44 0.00 -88.93 0.15 0.18 3.72
Degree 2 141 38.60 9.00 15,980 MAX VALUE 1,094.27 48.54 1.26 3.46
Eccentricity 3 5 3.77 4.00 1,562 MAX VALUE 545.01 0.56 0.15 0.84
Incidence graph
Density: 0.81%
MCB compute time (ms): 655
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 0.50
Eccentricity 5 6 5.91 6.00 2,683 MAX VALUE 805.98 0.29 0.05 0.30
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00