Instance: rand-2-40-11-414-200-92_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:39
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 80,138 MAX VALUE 19,695.20 1.32 0.15 1.67
Relational linkage 0.27 0.82 0.56 0.55 246.00 0.00 -260.72 0.08 0.14 1.28
Tightness 0.09 0.31 0.20 0.20 82.85 0.00 -673.29 0.04 0.18 2.86
Tuples 83 110 96.78 97.00 40,069 MAX VALUE 1,892.59 4.39 0.05 2.86
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 12 27 20.70 21.50 828 MAX VALUE 120.53 3.63 0.18 2.37
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: 5
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 48 237 145.92 138.50 1,751 1.69e+25 58.09 70.91 0.49 2.48
Cluster variables 13 29 22.00 21.50 264 8.06e+15 36.63 5.90 0.27 2.09
Separator constraints 0 217 111.42 87.50 1,337 0 None 72.23 0.65 2.48
Separator variables 0 28 18.67 18.00 224 0 None 7.88 0.42 2.25
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 163 2,870 827.47 569.50 31,444 MAX VALUE 246.21 636.46 0.77 3.53
Cluster variables 25 240 75.45 50.50 2,867 MAX VALUE 157.11 52.81 0.70 3.33
Separator constraints 0 1,518 605.89 519.00 23,024 0 None 367.72 0.61 3.53
Separator variables 0 177 64.55 46.50 2,453 0 None 39.99 0.62 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 0.47 0.62 0.54 0.54 21.61 0.00 -24.72 0.04 0.07 3.65
Degree 12 27 20.70 21.50 828 MAX VALUE 120.53 3.63 0.18 2.37
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 80.77%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.90 36.27 0.02 -3.99 0.06 0.06 3.31
Degree 12 38 31.50 35.00 1,260 MAX VALUE 136.44 7.36 0.23 2.57
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.85%
MCB compute time (ms): 12,720
MCB cycles: 8,728
Triangles: 57,431
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 0.58 0.51 0.51 210.81 0.00 -279.54 0.01 0.02 5.05
Degree 24 52 40.68 41.00 16,840 MAX VALUE 1,531.12 4.78 0.12 2.90
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 26,309 MAX VALUE 9,624.65 0.12 0.04 0.08
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,977
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 7 3.81 4.00 1,576 MAX VALUE 542.78 0.89 0.23 1.21
Eccentricity 7 10 8.21 8.00 3,397 MAX VALUE 869.84 0.70 0.09 1.06
MCB cycle size 4 10 6.59 7.00 2,472 MAX VALUE 699.81 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: 10.18%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.83 0.80 344.47 0.00 -81.98 0.14 0.17 3.77
Degree 2 137 42.06 9.00 17,414 MAX VALUE 1,115.07 52.76 1.25 3.40
Eccentricity 3 5 3.76 4.00 1,557 MAX VALUE 544.15 0.53 0.14 0.78
Incidence graph
Density: 0.81%
MCB compute time (ms): 611
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 27 3.65 2.00 1,656 MAX VALUE 407.49 5.41 1.48 0.51
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