Instance: rand-2-40-11-414-200-30_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:34
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 80,134 MAX VALUE 19,692.10 1.33 0.15 1.67
Relational linkage 0.27 0.73 0.55 0.55 244.18 0.00 -264.30 0.08 0.15 1.29
Tightness 0.09 0.31 0.20 0.20 82.87 0.00 -673.12 0.04 0.18 2.87
Tuples 83 110 96.78 97.00 40,067 MAX VALUE 1,892.56 4.39 0.05 2.87
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 120.89 2.57 0.12 2.25
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 76 251 157.60 139.50 1,576 4.18e+21 49.78 61.46 0.39 2.30
Cluster variables 17 31 23.60 22.50 236 4.24e+13 31.38 5.06 0.21 1.89
Separator constraints 0 219 116.20 105.50 1,162 0 None 64.92 0.56 2.30
Separator variables 0 29 19.60 20.00 196 0 None 7.89 0.40 1.89
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 231 3,049 836.71 545.50 31,795 MAX VALUE 246.95 659.15 0.79 3.53
Cluster variables 30 249 76.66 49.50 2,913 MAX VALUE 157.73 54.37 0.71 3.35
Separator constraints 0 1,622 618.61 476.00 23,507 0 None 381.41 0.62 3.53
Separator variables 0 182 65.76 45.50 2,499 0 None 41.19 0.63 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 0.47 0.58 0.52 0.52 20.84 0.00 -26.15 0.03 0.06 3.47
Degree 15 26 20.70 21.00 828 MAX VALUE 120.89 2.57 0.12 2.25
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 84.74%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.84 1.00 0.92 0.91 36.70 0.03 -3.50 0.05 0.05 3.03
Degree 16 39 33.05 35.00 1,322 MAX VALUE 138.91 6.42 0.19 2.39
Eccentricity 1 2 1.93 2.00 77 1.37e+11 25.65 0.26 0.14 0.27
Dual graph
Density: 9.69%
MCB compute time (ms): 17,031
MCB cycles: 8,105
Triangles: 54,874
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 0.50 0.50 208.96 0.00 -283.08 0.01 0.01 4.74
Degree 29 50 40.04 40.00 16,576 MAX VALUE 1,525.96 3.53 0.09 2.66
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 24,330 MAX VALUE 8,908.57 0.04 0.01 0.01
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,664
MCB cycles: 376
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.07 0.00 0.00 0.18 0.00 None 0.01 11.83 0.05
Degree 2 7 3.81 4.00 1,576 MAX VALUE 542.83 0.89 0.23 1.21
Eccentricity 7 10 8.45 8.00 3,497 MAX VALUE 881.89 0.71 0.08 1.07
MCB cycle size 3 10 6.61 7.00 2,485 MAX VALUE 703.26 1.20 0.18 1.57
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: 9.90%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.83 0.80 342.65 0.00 -84.16 0.14 0.17 3.75
Degree 2 145 40.88 8.50 16,926 MAX VALUE 1,111.63 51.22 1.25 3.42
Eccentricity 3 5 3.76 4.00 1,555 MAX VALUE 543.58 0.53 0.14 0.78
Incidence graph
Density: 0.81%
MCB compute time (ms): 574
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 407.85 5.36 1.47 0.50
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