Instance: rand-2-40-11-414-200-50_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:42
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 8.83 9.00 80,414 MAX VALUE 19,724.90 1.33 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 245.46 0.00 -262.15 0.08 0.15 1.31
Tightness 0.11 0.31 0.20 0.20 81.71 0.00 -679.11 0.04 0.19 2.86
Tuples 84 108 97.12 97.00 40,207 MAX VALUE 1,894.00 4.43 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 14 27 20.70 20.50 828 MAX VALUE 120.76 3.05 0.15 2.39
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: 2
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 66 256 145.30 140.00 1,453 1.69e+21 48.88 60.67 0.42 2.30
Cluster variables 15 31 22.40 23.00 224 2.40e+13 30.81 5.24 0.23 2.03
Separator constraints 0 202 103.90 90.00 1,039 0 None 58.34 0.56 2.30
Separator variables 0 27 18.40 18.50 184 0 None 7.54 0.41 2.03
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 217 2,810 841.74 572.00 31,986 MAX VALUE 246.84 664.07 0.79 3.60
Cluster variables 29 241 76.66 50.50 2,913 MAX VALUE 157.64 54.31 0.71 3.38
Separator constraints 0 1,653 622.21 499.00 23,644 0 None 389.57 0.63 3.60
Separator variables 0 180 65.76 48.00 2,499 0 None 41.25 0.63 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 0.61 0.54 0.53 21.41 0.00 -25.07 0.03 0.06 3.61
Degree 14 27 20.70 20.50 828 MAX VALUE 120.76 3.05 0.15 2.39
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.21%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.85 1.00 0.91 0.90 36.49 0.02 -3.72 0.05 0.05 3.18
Degree 14 38 32.45 35.00 1,298 MAX VALUE 137.99 6.76 0.21 2.14
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.76%
MCB compute time (ms): 4,384
MCB cycles: 10,099
Triangles: 55,974
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 0.50 209.91 0.00 -281.23 0.01 0.02 5.03
Degree 28 50 40.30 40.00 16,684 MAX VALUE 1,528.14 4.06 0.10 2.80
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.04 3.00 30,685 MAX VALUE 11,206.50 0.19 0.06 0.16
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,571
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 1.30 0.00 None 0.03 8.34 0.13
Degree 2 6 3.81 4.00 1,576 MAX VALUE 542.51 0.89 0.23 1.23
Eccentricity 6 9 7.88 8.00 3,263 MAX VALUE 853.52 0.60 0.08 0.90
MCB cycle size 3 9 6.66 7.00 2,497 MAX VALUE 704.48 1.16 0.17 1.54
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: 10.01%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.83 0.80 342.11 0.00 -84.61 0.14 0.16 3.85
Degree 2 138 41.34 8.00 17,116 MAX VALUE 1,111.69 52.10 1.26 3.42
Eccentricity 3 5 3.78 4.00 1,566 MAX VALUE 546.36 0.54 0.14 0.81
Incidence graph
Density: 0.81%
MCB compute time (ms): 471
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 407.72 5.38 1.47 0.51
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