Instance: rand-2-40-40-135-650-84_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:33
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 26 13.97 14.00 150,862 MAX VALUE 28,212.30 3.01 0.22 2.52
Relational linkage 0.07 0.45 0.25 0.25 407.57 0.00 -2,217.82 0.05 0.19 2.06
Tightness 0.62 0.67 0.65 0.65 87.86 0.00 -58.01 0.01 0.02 3.88
Tuples 523 603 558.75 558.00 75,431 MAX VALUE 853.91 16.46 0.03 3.88
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 6.75 7.00 270 1.05e+32 73.73 2.24 0.33 2.02
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: 26
Number of leaves: 12
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 2 22 10.62 9.50 276 3.82e+24 56.60 5.92 0.56 2.60
Cluster variables 3 15 8.46 7.50 220 9.65e+22 52.92 3.67 0.43 2.25
Separator constraints 0 17 5.42 3.50 141 0 None 5.22 0.96 2.46
Separator variables 0 14 6.92 6.00 180 0 None 3.70 0.53 2.32
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 13 174 62.76 48.50 2,385 MAX VALUE 149.75 39.79 0.63 3.56
Cluster variables 7 59 20.26 16.00 770 MAX VALUE 108.38 12.47 0.62 2.94
Separator constraints 0 93 39.68 32.50 1,508 0 None 24.88 0.63 3.38
Separator variables 0 41 16.71 14.00 635 0 None 9.56 0.57 2.95
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 0.17 0.14 6.68 0.00 None 0.13 0.81 2.98
Degree 2 12 6.75 7.00 270 1.05e+32 73.73 2.24 0.33 2.02
Eccentricity 3 4 3.12 3.00 125 5.12e+19 45.38 0.33 0.11 0.38
Triangulated primal graph
Density: 36.54%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.80 0.77 32.09 0.00 -9.61 0.16 0.20 2.91
Degree 2 29 14.25 12.50 570 MAX VALUE 96.30 8.57 0.60 2.91
Eccentricity 2 3 2.55 3.00 102 8.23e+15 36.65 0.50 0.20 0.69
Dual graph
Density: 9.70%
MCB compute time (ms): 341
MCB cycles: 818
Triangles: 1,857
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 0.75 0.51 0.49 68.51 0.00 -92.25 0.05 0.11 3.67
Degree 6 21 12.99 13.00 1,754 MAX VALUE 342.74 2.88 0.22 2.44
Eccentricity 3 4 3.36 3.00 454 MAX VALUE 162.41 0.48 0.14 0.66
MCB cycle size 3 5 3.16 3.00 2,585 MAX VALUE 936.03 0.38 0.12 0.46
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 61
MCB cycles: 96
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 5 3.41 3.00 460 MAX VALUE 162.61 0.70 0.21 1.05
Eccentricity 5 7 6.54 7.00 883 MAX VALUE 253.11 0.51 0.08 0.73
MCB cycle size 4 8 6.77 7.00 650 MAX VALUE 182.34 1.05 0.15 1.38
Triangulated dual graph
Density: 40.33%
Triangles: 62,684
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.79 110.76 0.00 -27.67 0.10 0.12 4.43
Degree 6 92 54.04 61.00 7,296 MAX VALUE 507.50 29.18 0.54 3.70
Eccentricity 2 3 2.44 2.00 329 MAX VALUE 117.50 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.68%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.78 0.70 105.19 0.00 -36.83 0.17 0.22 2.98
Degree 2 48 15.64 5.00 2,112 MAX VALUE 291.66 16.35 1.05 2.88
Eccentricity 3 5 3.72 4.00 502 MAX VALUE 175.96 0.51 0.14 0.74
Incidence graph
Density: 1.77%
MCB compute time (ms): 67
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 12 3.09 2.00 540 MAX VALUE 167.31 2.26 0.73 0.97
Eccentricity 6 9 7.27 7.00 1,273 MAX VALUE 346.75 0.56 0.08 0.84
MCB cycle size 6 8 7.08 8.00 680 MAX VALUE 186.97 1.00 0.14 0.69