Instance: rand-2-40-40-135-650-25_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:48
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Number of coarse blocks: 10,760
Number of unique subscopes: 39
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 4 27 13.97 14.00 150,268 MAX VALUE 28,096.10 3.04 0.22 2.53
Relational linkage 0.10 0.45 0.25 0.25 393.35 0.00 -2,184.15 0.05 0.21 2.14
Tightness 0.61 0.68 0.65 0.65 87.85 0.00 -58.02 0.01 0.02 3.97
Tuples 509 618 558.79 560.00 75,437 MAX VALUE 853.90 18.93 0.03 3.97
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 12 6.90 7.00 269 2.42e+31 72.27 2.50 0.36 2.26
Partitions per subscope 40 40 40.00 40.00 1,560 MAX VALUE 143.87 0.00 0.00 0.00
Tree decomposition
Number of clusters: 23
Number of leaves: 11
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 1 32 11.57 9.00 266 7.16e+20 48.02 9.33 0.81 2.47
Cluster variables 2 18 8.17 7.00 188 3.08e+19 44.88 4.41 0.54 2.43
Separator constraints 0 23 5.70 2.00 131 0 None 6.99 1.23 2.05
Separator variables 0 16 6.43 5.00 148 0 None 4.12 0.64 2.43
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
Tree depth: 6
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 7 209 65.08 49.00 2,473 MAX VALUE 148.09 47.68 0.73 3.53
Cluster variables 5 60 20.11 16.00 764 MAX VALUE 107.11 13.09 0.65 3.05
Separator constraints 0 112 41.00 31.00 1,558 0 None 29.65 0.72 3.42
Separator variables 0 45 16.55 14.00 629 0 None 10.14 0.61 3.06
Primal graph
Density: 17.31%
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 0.67 None 0.17 None None None None None 3.03
Degree 1 12 6.75 6.50 270 2.42e+31 72.27 2.63 0.39 2.32
Eccentricity 3 4 3.40 3.00 136 1.21e+21 48.55 0.49 0.14 0.67
Triangulated primal graph
Density: 38.59%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 None 0.78 None None None None None 3.22
Degree 1 28 15.05 15.00 602 MAX VALUE 96.76 9.07 0.60 2.78
Eccentricity 2 4 3.20 3.00 128 8.53e+19 45.89 0.56 0.17 0.83
Dual graph
Density: 10.12%
MCB compute time (ms): 322
MCB cycles: 890
Triangles: 2,076
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 1.00 0.51 0.49 68.90 0.00 -91.98 0.08 0.15 3.90
Degree 4 21 13.56 14.00 1,830 MAX VALUE 346.78 3.48 0.26 2.62
Eccentricity 3 4 3.32 3.00 448 MAX VALUE 160.68 0.47 0.14 0.63
MCB cycle size 3 5 3.20 3.00 2,845 MAX VALUE 1,026.50 0.46 0.14 0.53
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 69
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.50 0.00 None 0.02 6.63 0.11
Degree 2 5 3.41 3.00 460 MAX VALUE 162.12 0.76 0.22 1.11
Eccentricity 6 8 6.59 7.00 889 MAX VALUE 254.02 0.52 0.08 0.75
MCB cycle size 3 9 6.69 7.00 642 MAX VALUE 180.65 1.20 0.18 1.52
Triangulated dual graph
Density: 40.98%
Triangles: 65,255
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.80 110.83 0.00 -27.48 0.09 0.11 4.42
Degree 4 93 54.92 65.00 7,414 MAX VALUE 508.57 29.60 0.54 3.83
Eccentricity 2 3 2.69 3.00 363 MAX VALUE 131.28 0.46 0.17 0.62
Triangulated minimal dual graph
Density: 11.92%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.77 0.69 104.45 0.00 -37.65 0.17 0.21 3.12
Degree 2 50 15.97 6.00 2,156 MAX VALUE 295.10 16.44 1.03 3.06
Eccentricity 3 5 3.74 4.00 505 MAX VALUE 176.69 0.53 0.14 0.78
Incidence graph
Density: 1.77%
MCB compute time (ms): 84
MCB cycles: 96
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 None 0.00 None None None None None 0.35
Degree 1 12 3.09 2.00 540 MAX VALUE 165.84 2.36 0.76 1.01
Eccentricity 6 9 7.31 7.00 1,280 MAX VALUE 347.40 0.72 0.10 1.06
MCB cycle size 6 10 6.96 6.00 668 MAX VALUE 185.18 1.04 0.15 0.74