Instance: rand-2-40-11-414-200-72_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:43
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 8.80 9.00 80,120 MAX VALUE 19,688.60 1.34 0.15 1.68
Relational linkage 0.27 0.73 0.56 0.55 244.54 0.00 -263.68 0.08 0.15 1.30
Tightness 0.08 0.31 0.20 0.20 82.93 0.00 -673.79 0.04 0.19 2.92
Tuples 84 111 96.76 97.00 40,060 MAX VALUE 1,892.44 4.64 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 120.70 3.33 0.16 2.49
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 58 247 147.91 160.00 1,627 2.15e+23 53.73 66.50 0.45 2.40
Cluster variables 16 30 22.36 24.00 246 5.03e+14 33.85 5.42 0.24 1.89
Separator constraints 0 227 110.27 82.00 1,213 0 None 67.51 0.61 2.27
Separator variables 0 29 18.73 17.00 206 0 None 7.65 0.41 2.02
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 246 3,092 837.82 567.00 31,837 MAX VALUE 246.67 665.20 0.79 3.60
Cluster variables 31 252 76.45 53.50 2,905 MAX VALUE 157.52 54.46 0.71 3.37
Separator constraints 0 1,669 617.37 497.00 23,460 0 None 386.25 0.63 3.56
Separator variables 0 185 65.55 49.00 2,491 0 None 41.35 0.63 3.37
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 0.41 0.62 0.54 0.53 21.45 0.00 -25.02 0.04 0.07 3.57
Degree 15 29 20.70 21.00 828 MAX VALUE 120.70 3.33 0.16 2.49
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.18%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.81 1.00 0.91 0.90 36.36 0.02 -3.88 0.05 0.06 3.27
Degree 15 39 32.05 35.00 1,282 MAX VALUE 137.38 6.98 0.22 2.38
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.80%
MCB compute time (ms): 20,924
MCB cycles: 8,159
Triangles: 56,791
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 0.51 210.43 0.00 -280.23 0.01 0.02 5.14
Degree 30 55 40.47 40.00 16,754 MAX VALUE 1,529.40 4.56 0.11 2.91
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 24,500 MAX VALUE 8,970.19 0.05 0.02 0.02
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,770
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 542.74 0.89 0.23 1.20
Eccentricity 6 10 8.06 8.00 3,336 MAX VALUE 862.49 0.66 0.08 1.00
MCB cycle size 4 9 6.72 7.00 2,521 MAX VALUE 707.59 1.24 0.18 1.60
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: 10.07%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.83 0.79 342.30 0.00 -84.44 0.14 0.17 3.77
Degree 2 141 41.59 9.00 17,220 MAX VALUE 1,118.07 51.69 1.24 3.47
Eccentricity 3 5 3.83 4.00 1,585 MAX VALUE 551.24 0.56 0.15 0.83
Incidence graph
Density: 0.81%
MCB compute time (ms): 668
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 407.66 5.39 1.48 0.52
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