Instance: rand-2-40-40-135-650-47_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:32
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 27 14.07 14.00 151,932 MAX VALUE 28,286.00 3.03 0.22 2.53
Relational linkage 0.10 0.45 0.26 0.25 409.38 0.00 -2,214.23 0.05 0.20 2.12
Tightness 0.61 0.69 0.65 0.65 87.52 0.00 -58.53 0.01 0.02 3.97
Tuples 502 624 562.71 563.00 75,966 MAX VALUE 854.84 19.57 0.03 3.97
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 13 6.75 7.00 270 1.25e+32 73.91 2.21 0.33 2.12
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: 13
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 34 12.25 8.00 294 9.58e+22 52.92 9.82 0.80 2.56
Cluster variables 3 17 8.88 7.50 213 3.15e+21 49.50 4.41 0.50 2.28
Separator constraints 0 31 6.62 2.50 159 0 None 9.39 1.42 2.22
Separator variables 0 16 7.21 6.00 173 0 None 4.34 0.60 2.36
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 13 162 61.29 52.50 2,329 MAX VALUE 149.27 36.98 0.60 3.37
Cluster variables 7 55 20.21 16.00 768 MAX VALUE 108.35 12.35 0.61 3.07
Separator constraints 0 88 38.29 32.50 1,455 0 None 22.72 0.59 3.26
Separator variables 0 43 16.66 14.50 633 0 None 9.50 0.57 3.01
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 0.50 0.15 0.15 6.01 0.00 None 0.11 0.72 3.07
Degree 2 13 6.75 7.00 270 1.25e+32 73.91 2.21 0.33 2.12
Eccentricity 2 4 3.02 3.00 121 1.44e+19 44.11 0.27 0.09 0.31
Triangulated primal graph
Density: 39.62%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.61 1.00 0.82 0.82 32.90 0.00 -8.42 0.14 0.17 2.82
Degree 2 27 15.45 18.00 618 MAX VALUE 99.28 9.11 0.59 2.83
Eccentricity 2 3 2.48 2.00 99 2.44e+15 35.43 0.50 0.20 0.69
Dual graph
Density: 9.66%
MCB compute time (ms): 403
MCB cycles: 771
Triangles: 1,850
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 0.78 0.50 0.49 67.95 0.00 -93.48 0.06 0.12 3.68
Degree 6 21 12.95 13.00 1,748 MAX VALUE 342.12 2.95 0.23 2.46
Eccentricity 3 4 3.34 3.00 451 MAX VALUE 161.55 0.47 0.14 0.64
MCB cycle size 3 5 3.12 3.00 2,402 MAX VALUE 872.18 0.35 0.11 0.37
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 66
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 163.24 0.61 0.18 0.93
Eccentricity 6 8 6.65 7.00 898 MAX VALUE 255.37 0.53 0.08 0.78
MCB cycle size 4 9 6.92 7.00 664 MAX VALUE 184.16 1.15 0.17 1.50
Triangulated dual graph
Density: 39.86%
Triangles: 60,672
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.82 0.79 110.45 0.00 -28.13 0.10 0.13 4.29
Degree 6 95 53.41 65.00 7,210 MAX VALUE 506.23 28.84 0.54 3.87
Eccentricity 2 3 2.53 3.00 341 MAX VALUE 122.36 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.53%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.78 0.72 105.57 0.00 -36.17 0.17 0.21 3.13
Degree 2 50 16.79 7.00 2,266 MAX VALUE 302.15 17.20 1.02 2.96
Eccentricity 3 5 3.78 4.00 510 MAX VALUE 178.00 0.54 0.14 0.80
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 13 3.09 2.00 540 MAX VALUE 167.48 2.26 0.73 0.99
Eccentricity 5 8 7.09 7.00 1,241 MAX VALUE 341.98 0.68 0.10 1.02
MCB cycle size 6 10 7.15 8.00 686 MAX VALUE 187.64 1.11 0.16 0.81