Instance: rand-2-40-40-135-650-92_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:31
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 28 13.96 14.00 150,768 MAX VALUE 28,198.40 3.04 0.22 2.53
Relational linkage 0.10 0.42 0.25 0.25 403.77 0.00 -2,234.67 0.05 0.19 2.08
Tightness 0.62 0.69 0.65 0.65 87.89 0.00 -57.97 0.01 0.02 3.98
Tuples 502 614 558.40 560.00 75,384 MAX VALUE 853.80 19.29 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 11 6.75 7.00 270 1.58e+32 74.14 2.08 0.31 2.10
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: 5
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 2 30 11.92 9.50 286 2.98e+23 54.05 8.06 0.68 2.66
Cluster variables 3 17 9.08 7.50 218 5.10e+21 49.98 4.56 0.50 2.33
Separator constraints 0 25 6.29 3.50 151 0 None 7.51 1.19 2.35
Separator variables 0 16 7.42 6.00 178 0 None 4.53 0.61 2.41
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 10 174 61.84 54.00 2,350 MAX VALUE 149.37 38.26 0.62 3.48
Cluster variables 6 55 20.39 16.00 775 MAX VALUE 108.39 12.70 0.62 3.09
Separator constraints 0 92 39.13 35.50 1,487 0 None 23.10 0.59 3.49
Separator variables 0 42 16.84 14.00 640 0 None 9.77 0.58 3.08
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 0.67 0.17 0.17 6.91 0.00 None 0.10 0.61 2.82
Degree 2 11 6.75 7.00 270 1.58e+32 74.14 2.08 0.31 2.10
Eccentricity 3 4 3.15 3.00 126 6.83e+19 45.67 0.36 0.11 0.42
Triangulated primal graph
Density: 40.26%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.59 1.00 0.82 0.78 32.84 0.00 -8.45 0.14 0.17 2.79
Degree 2 27 15.70 19.50 628 MAX VALUE 100.17 9.07 0.58 2.68
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.54%
MCB compute time (ms): 333
MCB cycles: 903
Triangles: 1,771
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 0.80 0.50 0.49 67.92 0.00 -93.31 0.05 0.10 3.78
Degree 5 19 12.79 13.00 1,726 MAX VALUE 340.95 2.63 0.21 2.33
Eccentricity 3 4 3.53 4.00 477 MAX VALUE 169.03 0.50 0.14 0.69
MCB cycle size 3 6 3.35 3.00 3,022 MAX VALUE 1,076.24 0.65 0.20 0.73
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 97
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 162.87 0.66 0.19 1.00
Eccentricity 6 8 6.82 7.00 921 MAX VALUE 258.75 0.57 0.08 0.85
MCB cycle size 4 10 6.66 7.00 639 MAX VALUE 180.46 1.15 0.17 1.54
Triangulated dual graph
Density: 40.87%
Triangles: 64,002
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.82 0.81 110.81 0.00 -27.61 0.10 0.12 4.42
Degree 5 94 54.77 65.00 7,394 MAX VALUE 509.23 29.21 0.53 3.99
Eccentricity 2 3 2.47 2.00 333 MAX VALUE 119.12 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.11%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.78 0.72 104.93 0.00 -37.01 0.16 0.21 3.16
Degree 2 50 16.22 7.00 2,190 MAX VALUE 298.33 16.60 1.02 2.95
Eccentricity 3 5 3.76 4.00 508 MAX VALUE 177.43 0.55 0.15 0.81
Incidence graph
Density: 1.77%
MCB compute time (ms): 96
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 167.72 2.23 0.72 0.98
Eccentricity 6 8 7.37 7.00 1,290 MAX VALUE 348.95 0.62 0.08 0.91
MCB cycle size 6 10 7.06 8.00 678 MAX VALUE 186.62 1.04 0.15 0.74