Instance: rand-2-40-40-135-650-3_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:39
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 14.10 14.00 152,240 MAX VALUE 28,309.00 3.04 0.22 2.53
Relational linkage 0.07 0.53 0.26 0.25 413.15 0.00 -2,199.10 0.05 0.20 2.12
Tightness 0.61 0.68 0.65 0.65 87.42 0.00 -58.68 0.01 0.02 3.98
Tuples 508 616 563.85 564.00 76,120 MAX VALUE 855.12 19.43 0.03 3.98
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 6.50 270 4.06e+31 72.78 2.55 0.38 2.15
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 2 33 12.78 9.00 294 1.27e+22 50.90 9.93 0.78 2.77
Cluster variables 3 18 8.83 7.00 203 1.63e+20 46.54 4.81 0.54 2.25
Separator constraints 0 29 6.91 3.00 159 0 None 8.65 1.25 2.34
Separator variables 0 17 7.09 6.00 163 0 None 4.64 0.66 2.33
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 4 206 65.24 51.00 2,479 MAX VALUE 146.49 48.71 0.75 3.46
Cluster variables 5 56 19.74 16.00 750 MAX VALUE 106.26 12.69 0.64 3.16
Separator constraints 0 122 41.39 35.50 1,573 0 None 31.22 0.75 3.53
Separator variables 0 43 16.18 14.00 615 0 None 9.83 0.61 3.11
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 1.00 0.22 0.20 8.74 0.00 None 0.20 0.92 2.92
Degree 2 13 6.75 6.50 270 4.06e+31 72.78 2.55 0.38 2.15
Eccentricity 3 4 3.45 3.00 138 2.16e+21 49.12 0.50 0.14 0.69
Triangulated primal graph
Density: 40.51%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.82 0.78 32.76 0.00 -8.59 0.14 0.17 2.91
Degree 2 27 15.80 19.50 632 MAX VALUE 99.50 9.20 0.58 2.65
Eccentricity 2 4 3.00 3.00 120 6.75e+18 43.36 0.50 0.17 0.74
Dual graph
Density: 10.02%
MCB compute time (ms): 359
MCB cycles: 814
Triangles: 2,050
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 0.81 0.51 0.49 68.33 0.00 -92.66 0.06 0.11 3.75
Degree 4 22 13.42 13.00 1,812 MAX VALUE 344.51 3.69 0.27 2.67
Eccentricity 3 4 3.61 4.00 487 MAX VALUE 171.90 0.49 0.14 0.67
MCB cycle size 3 5 3.10 3.00 2,525 MAX VALUE 917.70 0.33 0.11 0.34
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 54
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 162.91 0.67 0.20 1.00
Eccentricity 5 8 6.79 7.00 917 MAX VALUE 258.15 0.57 0.08 0.86
MCB cycle size 4 9 6.79 7.00 652 MAX VALUE 182.07 1.27 0.19 1.61
Triangulated dual graph
Density: 39.62%
Triangles: 60,594
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.82 0.79 110.30 0.00 -28.26 0.10 0.12 4.45
Degree 4 92 53.10 59.00 7,168 MAX VALUE 503.85 28.83 0.54 3.90
Eccentricity 2 4 2.73 3.00 368 MAX VALUE 133.07 0.48 0.18 0.67
Triangulated minimal dual graph
Density: 11.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.77 0.69 104.29 0.00 -38.34 0.18 0.23 3.15
Degree 2 51 15.66 7.00 2,114 MAX VALUE 295.65 15.94 1.02 2.99
Eccentricity 3 5 3.81 4.00 514 MAX VALUE 178.96 0.56 0.15 0.84
Incidence graph
Density: 1.77%
MCB compute time (ms): 58
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 166.36 2.34 0.76 0.92
Eccentricity 6 9 7.69 8.00 1,345 MAX VALUE 356.21 0.68 0.09 1.01
MCB cycle size 6 10 6.81 6.00 654 MAX VALUE 183.03 1.10 0.16 0.77