Instance: rand-2-40-40-135-650-63_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:30
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 3 27 14.01 14.00 151,298 MAX VALUE 28,240.40 3.03 0.22 2.53
Relational linkage 0.07 0.47 0.25 0.25 407.18 0.00 -2,221.35 0.05 0.19 2.08
Tightness 0.61 0.68 0.65 0.65 87.72 0.00 -58.23 0.01 0.02 4.00
Tuples 512 620 560.36 561.00 75,649 MAX VALUE 854.27 20.25 0.04 4.00
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 6.00 270 1.54e+32 74.12 2.15 0.32 2.06
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: 4
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 2 31 12.91 10.00 297 9.18e+22 52.87 9.11 0.71 2.61
Cluster variables 3 18 9.43 9.00 217 1.54e+21 48.79 4.71 0.50 2.31
Separator constraints 0 26 7.04 4.00 162 0 None 8.29 1.18 2.03
Separator variables 0 17 7.70 7.00 177 0 None 4.64 0.60 2.39
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 13 170 61.42 48.50 2,334 MAX VALUE 148.50 40.16 0.65 3.48
Cluster variables 7 58 20.50 17.00 779 MAX VALUE 108.73 12.75 0.62 2.92
Separator constraints 0 90 38.55 31.00 1,465 0 None 24.04 0.62 3.37
Separator variables 0 44 16.95 14.50 644 0 None 9.74 0.57 3.06
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 0.32 0.15 0.14 5.89 0.00 None 0.10 0.66 2.80
Degree 2 12 6.75 6.00 270 1.54e+32 74.12 2.15 0.32 2.06
Eccentricity 3 4 3.10 3.00 124 3.84e+19 45.10 0.30 0.10 0.33
Triangulated primal graph
Density: 42.31%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.59 1.00 0.83 0.80 33.10 0.00 -8.09 0.13 0.16 2.91
Degree 2 29 16.50 20.00 660 MAX VALUE 102.48 9.36 0.57 2.84
Eccentricity 2 3 2.40 2.00 96 7.22e+14 34.21 0.49 0.20 0.67
Dual graph
Density: 9.61%
MCB compute time (ms): 224
MCB cycles: 914
Triangles: 1,830
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 0.83 0.50 0.49 67.56 0.00 -94.13 0.05 0.11 3.81
Degree 6 19 12.87 13.00 1,738 MAX VALUE 341.25 2.94 0.23 2.44
Eccentricity 3 4 3.38 3.00 456 MAX VALUE 162.98 0.48 0.14 0.66
MCB cycle size 3 5 3.29 3.00 3,003 MAX VALUE 1,077.15 0.52 0.16 0.66
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 60
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 163.04 0.65 0.19 0.97
Eccentricity 6 8 6.67 7.00 901 MAX VALUE 255.87 0.50 0.07 0.71
MCB cycle size 4 9 6.86 7.00 659 MAX VALUE 183.86 0.99 0.14 1.36
Triangulated dual graph
Density: 41.42%
Triangles: 65,960
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.82 0.79 111.08 0.00 -27.28 0.10 0.12 4.33
Degree 6 95 55.50 66.00 7,492 MAX VALUE 511.34 29.56 0.53 3.91
Eccentricity 2 3 2.46 2.00 332 MAX VALUE 118.71 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.02%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.78 0.71 105.95 0.00 -35.99 0.17 0.22 3.08
Degree 2 48 16.10 7.00 2,174 MAX VALUE 295.49 16.74 1.04 2.91
Eccentricity 3 5 3.76 4.00 508 MAX VALUE 177.49 0.53 0.14 0.79
Incidence graph
Density: 1.77%
MCB compute time (ms): 67
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 167.69 2.24 0.73 0.97
Eccentricity 6 8 7.17 7.00 1,255 MAX VALUE 344.02 0.65 0.09 0.97
MCB cycle size 6 10 7.12 8.00 684 MAX VALUE 187.41 1.07 0.15 0.78