Instance: rand-2-40-40-135-650-81_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 5 26 14.02 14.00 151,462 MAX VALUE 28,253.00 3.03 0.22 2.53
Relational linkage 0.12 0.45 0.25 0.25 407.15 0.00 -2,219.27 0.05 0.19 2.05
Tightness 0.61 0.68 0.65 0.65 87.67 0.00 -58.31 0.01 0.02 3.98
Tuples 520 623 560.97 559.00 75,731 MAX VALUE 854.41 20.67 0.04 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 12 6.75 7.00 270 1.51e+32 74.09 2.03 0.30 2.01
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: 6
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 13.04 11.00 300 1.76e+23 53.53 8.46 0.65 2.69
Cluster variables 3 18 9.65 8.00 222 2.15e+21 49.12 4.73 0.49 2.46
Separator constraints 0 25 7.17 5.00 165 0 None 7.87 1.10 2.49
Separator variables 0 16 7.91 7.00 182 0 None 4.70 0.59 2.46
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 16 156 58.68 49.50 2,230 MAX VALUE 148.99 33.07 0.56 3.42
Cluster variables 7 55 19.84 15.50 754 MAX VALUE 108.18 11.60 0.58 2.96
Separator constraints 0 94 36.08 33.50 1,371 0 None 19.75 0.55 3.22
Separator variables 0 40 16.29 13.00 619 0 None 8.82 0.54 2.92
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 0.18 0.18 7.05 0.00 None 0.16 0.90 2.76
Degree 2 12 6.75 7.00 270 1.51e+32 74.09 2.03 0.30 2.01
Eccentricity 3 4 3.27 3.00 131 2.88e+20 47.11 0.45 0.14 0.59
Triangulated primal graph
Density: 42.95%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.83 0.80 33.19 0.00 -8.00 0.13 0.16 2.82
Degree 2 30 16.75 20.50 670 MAX VALUE 102.92 9.28 0.55 2.93
Eccentricity 2 3 2.52 3.00 101 5.48e+15 36.24 0.50 0.20 0.69
Dual graph
Density: 9.50%
MCB compute time (ms): 363
MCB cycles: 773
Triangles: 1,751
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 0.79 0.50 0.49 67.42 0.00 -94.42 0.05 0.11 3.63
Degree 6 21 12.73 13.00 1,718 MAX VALUE 340.38 2.63 0.21 2.34
Eccentricity 3 4 3.41 3.00 461 MAX VALUE 164.42 0.49 0.14 0.68
MCB cycle size 3 5 3.14 3.00 2,427 MAX VALUE 879.65 0.38 0.12 0.42
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 55
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 1.27 0.00 None 0.05 5.05 0.23
Degree 2 5 3.41 3.00 460 MAX VALUE 162.68 0.69 0.20 1.04
Eccentricity 5 8 6.64 7.00 897 MAX VALUE 255.20 0.54 0.08 0.78
MCB cycle size 3 9 6.67 7.00 640 MAX VALUE 180.27 1.21 0.18 1.55
Triangulated dual graph
Density: 38.14%
Triangles: 55,210
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.81 0.79 109.56 0.00 -29.30 0.11 0.13 4.37
Degree 6 87 51.11 55.00 6,900 MAX VALUE 500.76 28.03 0.55 3.85
Eccentricity 2 3 2.55 3.00 344 MAX VALUE 123.58 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.76%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.78 0.71 104.88 0.00 -37.50 0.17 0.22 3.13
Degree 2 51 15.76 6.00 2,128 MAX VALUE 294.18 16.28 1.03 2.96
Eccentricity 3 5 3.77 4.00 509 MAX VALUE 177.78 0.53 0.14 0.78
Incidence graph
Density: 1.77%
MCB compute time (ms): 71
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 12 3.09 2.00 540 MAX VALUE 167.67 2.22 0.72 0.94
Eccentricity 6 9 7.37 7.00 1,290 MAX VALUE 348.92 0.65 0.09 0.97
MCB cycle size 6 8 7.04 8.00 676 MAX VALUE 186.39 1.00 0.14 0.69