Instance: rand-2-40-40-135-650-36_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:44
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 26 13.95 14.00 150,670 MAX VALUE 28,200.40 3.00 0.21 2.51
Relational linkage 0.10 0.42 0.25 0.25 407.88 0.00 -2,217.31 0.05 0.19 2.07
Tightness 0.63 0.68 0.65 0.65 87.92 0.00 -57.92 0.01 0.02 3.91
Tuples 517 596 558.04 558.00 75,335 MAX VALUE 853.73 17.91 0.03 3.91
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 1.27e+32 73.92 2.30 0.34 2.02
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: 25
Number of leaves: 11
Tree depth: 5
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 3 29 11.52 9.00 288 9.52e+23 55.21 8.29 0.72 2.49
Cluster variables 4 16 8.64 7.00 216 2.07e+22 51.38 4.01 0.46 1.99
Separator constraints 0 23 6.12 3.00 153 0 None 7.24 1.18 2.29
Separator variables 0 15 7.04 6.00 176 0 None 3.98 0.57 2.07
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
Tree depth: 5
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 12 181 63.05 52.50 2,396 MAX VALUE 148.68 42.22 0.67 3.40
Cluster variables 7 61 20.34 16.50 773 MAX VALUE 108.05 13.03 0.64 2.94
Separator constraints 0 94 39.84 34.50 1,514 0 None 26.12 0.66 3.33
Separator variables 0 45 16.79 13.50 638 0 None 10.03 0.60 2.99
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 0.16 6.17 0.00 None 0.10 0.65 2.78
Degree 3 11 6.75 6.50 270 1.27e+32 73.92 2.30 0.34 2.02
Eccentricity 3 3 3.00 3.00 120 1.22e+19 43.94 0.00 0.00 0.00
Triangulated primal graph
Density: 37.95%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.81 0.82 32.49 0.00 -9.02 0.15 0.18 2.83
Degree 3 30 14.80 16.00 592 MAX VALUE 98.13 8.87 0.60 2.82
Eccentricity 2 3 2.45 2.00 98 1.62e+15 35.02 0.50 0.20 0.69
Dual graph
Density: 9.75%
MCB compute time (ms): 436
MCB cycles: 816
Triangles: 1,899
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 0.70 0.51 0.49 68.85 0.00 -91.51 0.05 0.10 3.77
Degree 6 19 13.07 13.00 1,764 MAX VALUE 343.21 2.92 0.22 2.41
Eccentricity 3 4 3.33 3.00 450 MAX VALUE 161.26 0.47 0.14 0.64
MCB cycle size 3 5 3.17 3.00 2,585 MAX VALUE 934.65 0.43 0.14 0.48
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 44
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 163.00 0.64 0.19 0.96
Eccentricity 6 8 6.70 7.00 904 MAX VALUE 256.25 0.55 0.08 0.81
MCB cycle size 4 9 6.89 7.00 661 MAX VALUE 183.74 1.13 0.16 1.43
Triangulated dual graph
Density: 41.50%
Triangles: 67,324
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.83 0.79 111.39 0.00 -26.77 0.09 0.11 4.44
Degree 6 90 55.61 67.00 7,508 MAX VALUE 510.35 30.07 0.54 3.74
Eccentricity 2 3 2.43 2.00 328 MAX VALUE 117.09 0.50 0.20 0.68
Triangulated minimal dual graph
Density: 12.13%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.78 0.71 105.24 0.00 -36.74 0.17 0.22 3.13
Degree 2 50 16.25 7.00 2,194 MAX VALUE 297.04 16.82 1.04 3.00
Eccentricity 3 5 3.76 4.00 507 MAX VALUE 177.14 0.55 0.15 0.82
Incidence graph
Density: 1.77%
MCB compute time (ms): 50
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 167.49 2.28 0.74 1.00
Eccentricity 6 8 7.11 7.00 1,245 MAX VALUE 342.69 0.62 0.09 0.93
MCB cycle size 6 8 7.06 8.00 678 MAX VALUE 186.68 1.00 0.14 0.69