Instance: rand-2-40-40-135-650-74_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:38
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 4 25 13.96 14.00 150,796 MAX VALUE 28,206.10 3.01 0.22 2.52
Relational linkage 0.10 0.40 0.25 0.25 403.82 0.00 -2,232.85 0.05 0.19 2.05
Tightness 0.62 0.68 0.65 0.65 87.88 0.00 -57.98 0.01 0.02 3.97
Tuples 518 600 558.50 559.00 75,398 MAX VALUE 853.84 17.41 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 3 11 6.75 6.50 270 2.32e+32 74.52 2.01 0.30 2.00
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: 23
Number of leaves: 13
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 3 31 10.39 8.00 239 3.93e+21 49.72 6.89 0.66 2.45
Cluster variables 4 18 8.57 7.00 197 3.35e+20 47.26 3.92 0.46 2.23
Separator constraints 0 22 4.52 3.00 104 0 None 5.63 1.24 2.13
Separator variables 0 15 6.83 6.00 157 0 None 3.67 0.54 2.23
Dual tree decomposition
Number of clusters: 38
Number of leaves: 13
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 16 151 60.55 52.00 2,301 MAX VALUE 148.41 37.97 0.63 3.46
Cluster variables 8 53 20.26 16.50 770 MAX VALUE 108.34 12.49 0.62 2.97
Separator constraints 0 88 38.00 32.00 1,444 0 None 23.12 0.61 3.35
Separator variables 0 42 16.71 14.00 635 0 None 9.66 0.58 2.93
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 0.50 0.15 0.14 6.00 0.00 None 0.10 0.65 2.90
Degree 3 11 6.75 6.50 270 2.32e+32 74.52 2.01 0.30 2.00
Eccentricity 3 4 3.08 3.00 123 2.88e+19 44.81 0.26 0.09 0.27
Triangulated primal graph
Density: 39.74%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.82 0.79 32.68 0.00 -8.71 0.14 0.18 2.79
Degree 3 29 15.50 16.50 620 MAX VALUE 100.30 8.99 0.58 2.83
Eccentricity 2 3 2.48 2.00 99 2.44e+15 35.43 0.50 0.20 0.69
Dual graph
Density: 9.47%
MCB compute time (ms): 537
MCB cycles: 739
Triangles: 1,749
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 0.64 0.50 0.49 67.17 0.00 -94.67 0.04 0.08 3.69
Degree 7 19 12.70 13.00 1,714 MAX VALUE 339.66 2.80 0.22 2.39
Eccentricity 3 4 3.44 3.00 465 MAX VALUE 165.57 0.50 0.14 0.69
MCB cycle size 3 5 3.10 3.00 2,294 MAX VALUE 833.64 0.33 0.11 0.34
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 60
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.67 0.00 None 0.03 7.04 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.81 0.67 0.20 1.01
Eccentricity 6 8 6.69 7.00 903 MAX VALUE 256.12 0.54 0.08 0.79
MCB cycle size 3 9 6.81 7.00 654 MAX VALUE 182.39 1.24 0.18 1.59
Triangulated dual graph
Density: 40.02%
Triangles: 61,078
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.82 0.80 110.33 0.00 -28.24 0.10 0.12 4.46
Degree 7 94 53.63 62.00 7,240 MAX VALUE 506.74 28.79 0.54 3.77
Eccentricity 2 3 2.54 3.00 343 MAX VALUE 123.17 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.26%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.79 0.76 106.25 0.00 -35.23 0.16 0.21 3.06
Degree 2 50 16.43 6.00 2,218 MAX VALUE 297.25 17.11 1.04 2.91
Eccentricity 3 5 3.67 4.00 495 MAX VALUE 173.95 0.53 0.14 0.77
Incidence graph
Density: 1.77%
MCB compute time (ms): 70
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 11 3.09 2.00 540 MAX VALUE 168.10 2.21 0.72 1.00
Eccentricity 6 8 7.27 7.00 1,272 MAX VALUE 346.48 0.62 0.08 0.92
MCB cycle size 6 10 7.19 8.00 690 MAX VALUE 188.34 1.02 0.14 0.73