Instance: rand-2-40-40-135-650-2_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:48
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 13.94 14.00 150,576 MAX VALUE 28,186.30 3.02 0.22 2.52
Relational linkage 0.07 0.40 0.25 0.25 403.45 0.00 -2,235.79 0.05 0.19 2.06
Tightness 0.62 0.69 0.65 0.65 87.94 0.00 -57.88 0.01 0.02 3.94
Tuples 503 606 557.69 560.00 75,288 MAX VALUE 853.62 21.06 0.04 3.94
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 13 6.75 6.50 270 1.49e+32 74.08 2.30 0.34 2.13
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: 24
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 30 11.83 8.50 284 3.77e+23 54.29 7.94 0.67 2.53
Cluster variables 4 17 8.58 7.00 206 2.51e+21 49.27 3.89 0.45 2.16
Separator constraints 0 25 6.21 3.50 149 0 None 6.87 1.11 2.41
Separator variables 0 15 6.92 6.00 166 0 None 3.76 0.54 2.16
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 13 165 59.74 49.50 2,270 MAX VALUE 146.57 40.59 0.68 3.42
Cluster variables 7 55 19.71 16.00 749 MAX VALUE 107.37 11.90 0.60 3.12
Separator constraints 0 95 36.53 31.00 1,388 0 None 24.36 0.67 3.39
Separator variables 0 40 16.16 14.50 614 0 None 9.10 0.56 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 0.50 0.20 0.20 8.04 0.00 None 0.11 0.53 3.00
Degree 3 13 6.75 6.50 270 1.49e+32 74.08 2.30 0.34 2.13
Eccentricity 3 4 3.15 3.00 126 6.83e+19 45.67 0.36 0.11 0.42
Triangulated primal graph
Density: 38.72%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.81 0.80 32.46 0.00 -9.03 0.15 0.18 2.83
Degree 3 28 15.10 15.00 604 MAX VALUE 99.09 8.85 0.59 2.62
Eccentricity 2 3 2.48 2.00 99 2.44e+15 35.43 0.50 0.20 0.69
Dual graph
Density: 9.75%
MCB compute time (ms): 144
MCB cycles: 1,109
Triangles: 1,951
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 0.67 0.51 0.50 68.60 0.00 -91.86 0.04 0.09 3.89
Degree 6 21 13.07 13.00 1,764 MAX VALUE 342.15 3.41 0.26 2.60
Eccentricity 3 4 3.61 4.00 487 MAX VALUE 171.90 0.49 0.14 0.67
MCB cycle size 3 5 3.45 3.00 3,822 MAX VALUE 1,352.05 0.70 0.20 0.85
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 53
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 162.56 0.70 0.21 1.06
Eccentricity 6 8 6.81 7.00 919 MAX VALUE 258.38 0.61 0.09 0.92
MCB cycle size 4 9 6.67 7.00 640 MAX VALUE 180.39 1.22 0.18 1.58
Triangulated dual graph
Density: 38.36%
Triangles: 55,754
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.81 0.79 109.87 0.00 -28.95 0.11 0.13 4.43
Degree 6 91 51.41 56.00 6,940 MAX VALUE 500.90 28.07 0.55 3.86
Eccentricity 2 3 2.48 2.00 335 MAX VALUE 119.93 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.02%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.78 0.71 104.98 0.00 -37.32 0.17 0.22 3.15
Degree 2 51 16.10 7.00 2,174 MAX VALUE 297.00 16.38 1.02 3.05
Eccentricity 3 5 3.74 4.00 505 MAX VALUE 176.63 0.54 0.15 0.80
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 13 3.09 2.00 540 MAX VALUE 167.66 2.28 0.74 1.02
Eccentricity 6 8 7.45 8.00 1,303 MAX VALUE 350.74 0.60 0.08 0.87
MCB cycle size 6 8 6.81 6.00 654 MAX VALUE 183.23 0.98 0.14 0.68