Instance: rand-2-40-40-135-650-18_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:47
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: 10,800
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 3 27 13.97 14.00 150,916 MAX VALUE 28,212.10 3.03 0.22 2.53
Relational linkage 0.07 0.45 0.25 0.25 406.98 0.00 -2,221.02 0.05 0.19 2.06
Tightness 0.62 0.69 0.65 0.65 87.84 0.00 -58.04 0.01 0.02 3.93
Tuples 503 608 558.95 559.00 75,458 MAX VALUE 853.95 17.57 0.03 3.93
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 13 6.75 7.00 270 5.22e+31 73.03 2.62 0.39 2.25
Partitions per subscope 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 25
Number of leaves: 12
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 2 26 10.60 8.00 265 2.50e+23 53.88 6.82 0.64 2.36
Cluster variables 3 16 8.08 7.00 202 3.29e+21 49.55 3.77 0.47 2.37
Separator constraints 0 19 5.20 3.00 130 0 None 5.39 1.04 2.26
Separator variables 0 14 6.48 6.00 162 0 None 3.66 0.56 2.37
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 12 174 61.76 54.50 2,347 MAX VALUE 148.49 40.70 0.66 3.40
Cluster variables 7 58 19.76 15.50 751 MAX VALUE 107.36 12.24 0.62 2.99
Separator constraints 0 103 37.71 30.00 1,433 0 None 24.93 0.66 3.32
Separator variables 0 42 16.21 14.00 616 0 None 9.41 0.58 2.88
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 0.18 0.16 7.25 0.00 None 0.11 0.63 2.79
Degree 2 13 6.75 7.00 270 5.22e+31 73.03 2.62 0.39 2.25
Eccentricity 2 4 3.02 3.00 121 1.44e+19 44.11 0.27 0.09 0.31
Triangulated primal graph
Density: 36.15%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.80 0.76 32.13 0.00 -9.47 0.15 0.19 2.80
Degree 2 28 14.10 13.50 564 MAX VALUE 95.45 8.57 0.61 2.84
Eccentricity 2 3 2.55 3.00 102 8.23e+15 36.65 0.50 0.20 0.69
Dual graph
Density: 10.11%
MCB compute time (ms): 546
MCB cycles: 824
Triangles: 2,115
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 0.83 0.52 0.49 69.96 0.00 -89.79 0.07 0.13 4.04
Degree 6 22 13.54 13.00 1,828 MAX VALUE 346.89 3.58 0.26 2.63
Eccentricity 3 4 3.30 3.00 445 MAX VALUE 159.82 0.46 0.14 0.61
MCB cycle size 3 5 3.12 3.00 2,567 MAX VALUE 932.26 0.34 0.11 0.37
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 65
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 0.43 0.00 None 0.02 6.79 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.81 0.67 0.20 1.01
Eccentricity 6 8 6.66 7.00 899 MAX VALUE 255.52 0.53 0.08 0.78
MCB cycle size 3 10 6.95 7.00 667 MAX VALUE 184.29 1.24 0.18 1.54
Triangulated dual graph
Density: 38.95%
Triangles: 58,712
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.82 0.79 110.42 0.00 -28.13 0.10 0.12 4.38
Degree 6 88 52.19 53.00 7,046 MAX VALUE 502.17 28.86 0.55 3.79
Eccentricity 2 3 2.50 3.00 338 MAX VALUE 121.15 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.53%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.79 0.71 106.05 0.00 -35.53 0.17 0.21 3.17
Degree 2 51 16.79 7.00 2,266 MAX VALUE 299.02 17.32 1.03 3.02
Eccentricity 3 5 3.73 4.00 504 MAX VALUE 176.28 0.56 0.15 0.83
Incidence graph
Density: 1.77%
MCB compute time (ms): 55
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 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 13 3.09 2.00 540 MAX VALUE 166.61 2.36 0.76 1.02
Eccentricity 5 8 7.02 7.00 1,228 MAX VALUE 340.10 0.69 0.10 1.03
MCB cycle size 6 10 7.02 6.00 674 MAX VALUE 185.98 1.08 0.15 0.78