Instance: rand-2-40-40-135-650-95_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:43
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 14.04 14.00 151,604 MAX VALUE 28,258.50 3.05 0.22 2.53
Relational linkage 0.10 0.42 0.25 0.25 406.88 0.00 -2,223.60 0.05 0.20 2.11
Tightness 0.61 0.68 0.65 0.65 87.62 0.00 -58.38 0.01 0.02 3.95
Tuples 507 630 561.50 562.00 75,802 MAX VALUE 854.54 20.41 0.04 3.95
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 7.00 270 1.08e+32 73.76 2.27 0.34 2.12
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: 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 3 36 11.87 9.00 273 1.18e+22 50.82 8.81 0.74 2.59
Cluster variables 4 18 8.43 8.00 194 1.46e+20 46.43 4.12 0.49 2.33
Separator constraints 0 25 6.00 3.00 138 0 None 7.00 1.17 2.37
Separator variables 0 15 6.70 6.00 154 0 None 3.85 0.57 2.33
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 9 151 60.66 57.00 2,305 MAX VALUE 147.22 38.28 0.63 3.53
Cluster variables 6 54 19.95 16.50 758 MAX VALUE 107.53 12.22 0.61 3.14
Separator constraints 0 84 37.53 35.50 1,426 0 None 23.11 0.62 3.32
Separator variables 0 42 16.39 14.50 623 0 None 9.40 0.57 3.01
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 0.19 0.18 7.51 0.00 None 0.10 0.54 2.88
Degree 3 11 6.75 7.00 270 1.08e+32 73.76 2.27 0.34 2.12
Eccentricity 3 4 3.15 3.00 126 6.83e+19 45.67 0.36 0.11 0.42
Triangulated primal graph
Density: 39.36%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.62 1.00 0.82 0.79 32.67 0.00 -8.69 0.14 0.17 2.91
Degree 3 27 15.35 17.00 614 MAX VALUE 99.20 8.96 0.58 2.71
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.72%
MCB compute time (ms): 428
MCB cycles: 801
Triangles: 1,864
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 0.71 0.51 0.49 68.38 0.00 -92.40 0.05 0.10 3.85
Degree 5 19 13.02 14.00 1,758 MAX VALUE 342.49 2.93 0.23 2.42
Eccentricity 3 4 3.47 3.00 469 MAX VALUE 166.72 0.50 0.14 0.69
MCB cycle size 3 6 3.15 3.00 2,520 MAX VALUE 912.45 0.41 0.13 0.44
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 62
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 1.27 0.00 None 0.05 5.05 0.23
Degree 2 5 3.41 3.00 460 MAX VALUE 162.74 0.68 0.20 1.03
Eccentricity 6 8 6.79 7.00 917 MAX VALUE 258.28 0.49 0.07 0.70
MCB cycle size 3 9 6.69 7.00 642 MAX VALUE 180.11 1.36 0.20 1.66
Triangulated dual graph
Density: 39.22%
Triangles: 58,368
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.81 0.79 109.97 0.00 -28.76 0.10 0.13 4.47
Degree 5 92 52.55 57.00 7,094 MAX VALUE 503.91 28.43 0.54 4.05
Eccentricity 2 3 2.47 2.00 333 MAX VALUE 119.12 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.79 0.72 106.08 0.00 -35.66 0.17 0.22 3.05
Degree 2 48 15.88 6.00 2,144 MAX VALUE 292.60 16.59 1.04 2.89
Eccentricity 3 5 3.76 4.00 507 MAX VALUE 177.27 0.52 0.14 0.77
Incidence graph
Density: 1.77%
MCB compute time (ms): 72
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 167.33 2.27 0.74 1.02
Eccentricity 6 8 7.33 7.00 1,282 MAX VALUE 347.88 0.61 0.08 0.90
MCB cycle size 6 10 6.96 6.00 668 MAX VALUE 185.18 1.04 0.15 0.74