Instance: rand-2-40-11-414-200-75_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 8.80 9.00 80,184 MAX VALUE 19,699.40 1.32 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 244.36 0.00 -263.56 0.08 0.14 1.27
Tightness 0.08 0.31 0.20 0.20 82.66 0.00 -674.30 0.04 0.19 2.88
Tuples 84 111 96.84 97.00 40,092 MAX VALUE 1,892.80 4.50 0.05 2.88
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 30 20.70 21.50 828 MAX VALUE 120.70 3.26 0.16 2.33
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: 6
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 69 263 151.10 115.00 1,511 1.56e+21 48.80 78.57 0.52 2.16
Cluster variables 16 31 22.60 20.00 226 2.40e+13 30.81 6.20 0.27 1.70
Separator constraints 0 245 109.70 75.00 1,097 0 None 77.98 0.71 2.16
Separator variables 0 30 18.60 17.00 186 0 None 8.31 0.45 1.89
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 231 2,977 842.32 554.00 32,008 MAX VALUE 246.81 665.03 0.79 3.56
Cluster variables 30 244 76.82 50.00 2,919 MAX VALUE 157.65 54.61 0.71 3.35
Separator constraints 0 1,668 622.11 497.50 23,640 0 None 383.98 0.62 3.60
Separator variables 0 188 65.92 46.00 2,505 0 None 41.49 0.63 3.35
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 0.59 0.53 0.52 21.12 0.00 -25.60 0.03 0.06 3.58
Degree 15 30 20.70 21.50 828 MAX VALUE 120.70 3.26 0.16 2.33
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.46%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.83 1.00 0.92 0.91 36.71 0.03 -3.49 0.05 0.05 3.21
Degree 15 39 32.55 35.00 1,302 MAX VALUE 138.02 6.96 0.21 2.12
Eccentricity 1 2 1.95 2.00 78 2.75e+11 26.34 0.22 0.11 0.20
Dual graph
Density: 9.79%
MCB compute time (ms): 7,726
MCB cycles: 9,162
Triangles: 56,515
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 0.50 210.20 0.00 -280.69 0.01 0.02 4.92
Degree 29 52 40.43 41.00 16,736 MAX VALUE 1,529.12 4.35 0.11 2.83
Eccentricity 2 3 3.00 3.00 1,240 MAX VALUE 454.01 0.07 0.02 0.03
MCB cycle size 3 4 3.02 3.00 27,693 MAX VALUE 10,125.00 0.15 0.05 0.11
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,774
MCB cycles: 376
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.07 0.00 None 0.03 9.84 0.10
Degree 2 7 3.81 4.00 1,576 MAX VALUE 542.53 0.90 0.24 1.22
Eccentricity 6 10 7.97 8.00 3,300 MAX VALUE 857.85 0.68 0.09 1.04
MCB cycle size 3 10 6.73 7.00 2,532 MAX VALUE 709.79 1.25 0.19 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: 10.52%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.84 0.80 346.73 0.00 -78.93 0.13 0.16 3.77
Degree 2 142 43.44 8.50 17,984 MAX VALUE 1,120.57 54.33 1.25 3.35
Eccentricity 3 5 3.73 4.00 1,543 MAX VALUE 540.51 0.52 0.14 0.75
Incidence graph
Density: 0.81%
MCB compute time (ms): 612
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 30 3.65 2.00 1,656 MAX VALUE 407.66 5.39 1.48 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