Instance: rand-2-40-40-135-650-20_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:41
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 2 25 13.93 14.00 150,470 MAX VALUE 28,173.10 3.04 0.22 2.53
Relational linkage 0.05 0.45 0.25 0.25 402.85 0.00 -2,240.46 0.05 0.20 2.10
Tightness 0.62 0.68 0.65 0.65 87.98 0.00 -57.83 0.01 0.02 3.96
Tuples 512 603 557.30 557.00 75,235 MAX VALUE 853.54 18.28 0.03 3.96
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 9.56e+31 73.64 2.50 0.37 2.14
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: 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 34 12.21 8.50 293 2.58e+23 53.91 9.07 0.74 2.64
Cluster variables 4 17 8.25 6.50 198 9.68e+20 48.32 3.81 0.46 2.25
Separator constraints 0 27 6.58 3.50 158 0 None 7.56 1.15 2.36
Separator variables 0 15 6.58 5.00 158 0 None 3.62 0.55 2.25
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 9 173 61.03 46.00 2,319 MAX VALUE 146.31 42.20 0.69 3.44
Cluster variables 6 57 19.74 16.00 750 MAX VALUE 106.89 12.49 0.63 3.07
Separator constraints 0 101 37.32 29.50 1,418 0 None 25.35 0.68 3.44
Separator variables 0 43 16.18 14.00 615 0 None 9.61 0.59 3.00
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 0.40 0.17 0.17 6.82 0.00 None 0.10 0.60 2.61
Degree 3 13 6.75 6.50 270 9.56e+31 73.64 2.50 0.37 2.14
Eccentricity 2 4 3.10 3.00 124 3.42e+19 44.98 0.37 0.12 0.49
Triangulated primal graph
Density: 37.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.81 0.77 32.36 0.00 -9.18 0.15 0.19 2.86
Degree 3 29 14.70 14.50 588 MAX VALUE 97.73 8.78 0.60 2.82
Eccentricity 2 3 2.52 3.00 101 5.48e+15 36.24 0.50 0.20 0.69
Dual graph
Density: 9.96%
MCB compute time (ms): 352
MCB cycles: 798
Triangles: 2,064
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 0.67 0.51 0.50 68.66 0.00 -91.92 0.05 0.10 3.98
Degree 5 23 13.35 13.00 1,802 MAX VALUE 344.04 3.76 0.28 2.70
Eccentricity 3 4 3.46 3.00 467 MAX VALUE 166.15 0.50 0.14 0.69
MCB cycle size 3 5 3.10 3.00 2,472 MAX VALUE 898.87 0.31 0.10 0.33
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 50
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.50 0.00 None 0.02 6.63 0.11
Degree 2 5 3.41 3.00 460 MAX VALUE 162.92 0.66 0.19 0.99
Eccentricity 6 8 6.60 7.00 891 MAX VALUE 254.29 0.55 0.08 0.80
MCB cycle size 3 10 6.92 7.00 664 MAX VALUE 183.89 1.23 0.18 1.53
Triangulated dual graph
Density: 39.43%
Triangles: 60,215
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.82 0.78 110.52 0.00 -27.98 0.10 0.12 4.53
Degree 5 90 52.83 55.00 7,132 MAX VALUE 502.80 29.15 0.55 3.82
Eccentricity 2 3 2.45 2.00 331 MAX VALUE 118.31 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.06%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.78 0.71 104.66 0.00 -37.39 0.17 0.21 3.15
Degree 2 50 16.16 7.00 2,182 MAX VALUE 298.06 16.55 1.02 3.04
Eccentricity 3 5 3.79 4.00 511 MAX VALUE 178.29 0.54 0.14 0.79
Incidence graph
Density: 1.77%
MCB compute time (ms): 57
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 167.21 2.32 0.75 1.03
Eccentricity 5 8 7.26 7.00 1,271 MAX VALUE 346.22 0.67 0.09 0.98
MCB cycle size 6 8 6.90 6.00 662 MAX VALUE 184.38 0.99 0.14 0.69