Instance: rand-2-40-40-135-650-83_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 25 13.97 14.00 150,834 MAX VALUE 28,208.60 3.01 0.22 2.52
Relational linkage 0.10 0.42 0.25 0.25 404.77 0.00 -2,230.74 0.05 0.19 2.07
Tightness 0.62 0.68 0.65 0.65 87.86 0.00 -58.01 0.01 0.02 4.05
Tuples 508 601 558.64 560.00 75,417 MAX VALUE 853.85 20.32 0.04 4.05
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 6.00 270 1.57e+32 74.13 2.14 0.32 1.93
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 28 11.00 8.50 264 7.52e+22 52.67 7.04 0.64 2.67
Cluster variables 4 17 8.67 7.00 208 3.31e+21 49.55 3.83 0.44 2.05
Separator constraints 0 23 5.38 3.50 129 0 None 6.23 1.16 2.34
Separator variables 0 15 7.00 6.00 168 0 None 3.71 0.53 2.05
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 13 169 60.08 56.00 2,283 MAX VALUE 147.62 39.06 0.65 3.42
Cluster variables 7 57 20.03 15.50 761 MAX VALUE 107.87 12.33 0.62 2.86
Separator constraints 0 95 37.24 34.00 1,415 0 None 23.90 0.64 3.21
Separator variables 0 43 16.47 14.00 626 0 None 9.46 0.57 2.96
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 0.14 0.14 5.68 0.00 None 0.09 0.65 2.77
Degree 3 11 6.75 6.00 270 1.57e+32 74.13 2.14 0.32 1.93
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 38.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.81 0.79 32.45 0.00 -9.08 0.15 0.19 2.82
Degree 3 29 15.20 15.50 608 MAX VALUE 99.38 8.91 0.59 2.76
Eccentricity 2 3 2.52 3.00 101 5.48e+15 36.24 0.50 0.20 0.69
Dual graph
Density: 9.60%
MCB compute time (ms): 409
MCB cycles: 788
Triangles: 1,804
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 0.69 0.50 0.49 67.87 0.00 -93.31 0.04 0.09 3.63
Degree 6 19 12.86 13.00 1,736 MAX VALUE 341.38 2.77 0.22 2.39
Eccentricity 3 4 3.44 3.00 464 MAX VALUE 165.29 0.50 0.14 0.69
MCB cycle size 3 5 3.14 3.00 2,478 MAX VALUE 898.05 0.38 0.12 0.43
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 61
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 162.62 0.69 0.20 1.04
Eccentricity 6 8 6.85 7.00 925 MAX VALUE 259.35 0.56 0.08 0.84
MCB cycle size 4 9 6.71 7.00 644 MAX VALUE 180.95 1.25 0.19 1.60
Triangulated dual graph
Density: 39.59%
Triangles: 60,412
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.69 1.00 0.82 0.80 110.51 0.00 -27.99 0.10 0.12 4.47
Degree 6 87 53.05 66.00 7,162 MAX VALUE 504.56 28.96 0.55 3.61
Eccentricity 2 3 2.46 2.00 332 MAX VALUE 118.71 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.33%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.78 0.72 104.88 0.00 -37.84 0.18 0.23 3.08
Degree 2 50 15.19 6.00 2,050 MAX VALUE 290.12 15.74 1.04 3.01
Eccentricity 3 5 3.80 4.00 513 MAX VALUE 178.87 0.53 0.14 0.78
Incidence graph
Density: 1.77%
MCB compute time (ms): 75
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 167.71 2.24 0.73 0.98
Eccentricity 6 8 7.23 7.00 1,266 MAX VALUE 345.60 0.64 0.09 0.95
MCB cycle size 6 8 7.12 8.00 684 MAX VALUE 187.54 0.99 0.14 0.69