Instance: rand-2-40-180-84-900-96_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:28
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 84
General features
Number of coarse blocks: 29,880
Number of unique subscopes: 38
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 168 1.93e+25 58.22 0.00 0.00 0.00
Coarse blocks size 5 35 18.05 18.00 539,274 MAX VALUE 85,659.20 4.03 0.22 2.81
Relational linkage 0.03 0.14 0.08 0.08 528.89 0.00 -17,646.60 0.02 0.20 2.42
Tightness 0.90 0.90 0.90 0.90 75.58 0.00 -8.87 0.00 0.00 4.16
Tuples 3,133 3,373 3,248.37 3,250.00 272,863 MAX VALUE 679.21 52.13 0.02 4.16
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 7 4.37 4.00 166 2.85e+23 54.01 1.38 0.32 1.66
Partitions per subscope 180 180 180.00 180.00 6,840 MAX VALUE 197.33 0.00 0.00 0.00
Tree decomposition
Number of clusters: 28
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 1 10 3.89 3.50 109 3.96e+14 33.61 2.34 0.60 1.71
Cluster variables 2 13 5.82 5.00 163 1.14e+20 46.19 2.84 0.49 2.12
Separator constraints 0 6 0.89 0.00 25 0 None 1.52 1.70 1.21
Separator variables 0 12 4.39 4.00 123 0 None 2.62 0.60 2.17
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 4 53 18.68 16.00 710 MAX VALUE 103.98 11.62 0.62 2.95
Cluster variables 4 27 11.03 9.00 419 3.27e+37 86.38 6.03 0.55 2.62
Separator constraints 0 36 10.37 9.00 394 0 None 7.73 0.75 2.84
Separator variables 0 20 8.82 7.50 335 0 None 4.70 0.53 2.66
Primal graph
Density: 10.77%
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 0.33 None 0.00 None None None None None 1.46
Degree 1 7 4.20 4.00 168 2.85e+23 54.01 1.54 0.37 1.78
Eccentricity 4 5 4.22 4.00 169 9.01e+24 57.46 0.42 0.10 0.53
Triangulated primal graph
Density: 25.77%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 None 0.79 None None None None None 3.11
Degree 1 24 10.05 7.00 402 1.17e+34 78.44 7.39 0.74 2.85
Eccentricity 2 3 2.65 3.00 106 4.16e+16 38.27 0.48 0.18 0.65
Dual graph
Density: 9.06%
MCB compute time (ms): 44
MCB cycles: 241
Triangles: 356
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 1.00 0.48 0.47 40.08 0.00 -63.51 0.10 0.21 2.66
Degree 3 12 7.52 7.00 632 MAX VALUE 166.38 1.98 0.26 2.06
Eccentricity 4 5 4.14 4.00 348 MAX VALUE 119.13 0.35 0.08 0.41
MCB cycle size 3 7 3.32 3.00 801 MAX VALUE 284.73 0.76 0.23 0.68
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 14
MCB cycles: 45
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 4 3.05 3.00 256 MAX VALUE 91.67 0.63 0.21 0.95
Eccentricity 6 8 6.65 7.00 559 MAX VALUE 158.94 0.52 0.08 0.76
MCB cycle size 4 10 7.29 7.00 328 3.12e+38 88.64 1.24 0.17 1.55
Triangulated dual graph
Density: 30.49%
Triangles: 8,276
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.79 0.77 66.39 0.00 -20.86 0.13 0.16 3.78
Degree 3 52 25.31 23.00 2,126 MAX VALUE 248.79 15.65 0.62 3.37
Eccentricity 2 4 2.83 3.00 238 2.88e+37 86.25 0.46 0.16 0.65
Triangulated minimal dual graph
Density: 12.42%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.74 0.67 62.32 0.00 -28.17 0.20 0.27 2.84
Degree 2 29 10.31 5.00 866 MAX VALUE 159.61 9.38 0.91 2.63
Eccentricity 3 5 3.86 4.00 324 MAX VALUE 112.29 0.62 0.16 0.93
Incidence graph
Density: 2.20%
MCB compute time (ms): 26
MCB cycles: 45
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 None 0.00 None None None None None 0.77
Degree 1 7 2.71 2.00 336 MAX VALUE 112.23 1.35 0.50 1.10
Eccentricity 8 11 8.85 9.00 1,098 MAX VALUE 270.03 0.73 0.08 1.07
MCB cycle size 6 14 8.62 8.00 388 MAX VALUE 96.06 1.73 0.20 1.23