Instance: rand-2-40-80-103-800-21_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:57
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 103
General features
Number of coarse blocks: 16,400
Number of unique subscopes: 39
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 206 1.01e+31 71.39 0.00 0.00 0.00
Coarse blocks size 2 32 15.97 16.00 261,984 MAX VALUE 45,009.40 3.58 0.22 2.69
Relational linkage 0.03 0.28 0.15 0.15 465.50 0.00 -6,001.80 0.03 0.20 2.28
Tightness 0.78 0.81 0.80 0.80 82.43 0.00 -22.94 0.01 0.01 4.11
Tuples 1,195 1,384 1,277.88 1,274.00 131,622 MAX VALUE 736.71 36.27 0.03 4.11
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 9 5.26 5.00 205 1.20e+27 62.35 1.72 0.33 1.88
Partitions per subscope 80 80 80.00 80.00 3,120 MAX VALUE 170.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 28
Number of leaves: 14
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 1 14 6.29 5.00 176 1.47e+20 46.44 3.57 0.57 2.35
Cluster variables 2 13 7.07 5.50 198 1.63e+22 51.15 3.56 0.50 2.18
Separator constraints 0 10 2.61 1.00 73 0 None 3.28 1.26 1.86
Separator variables 0 12 5.64 4.00 158 0 None 3.55 0.63 2.26
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 6 77 29.87 27.00 1,135 MAX VALUE 122.84 16.44 0.55 3.28
Cluster variables 4 36 13.89 12.00 528 MAX VALUE 94.84 7.67 0.55 2.89
Separator constraints 0 44 16.87 16.50 641 0 None 10.18 0.60 3.12
Separator variables 0 25 11.18 10.00 425 0 None 5.87 0.52 2.75
Primal graph
Density: 13.21%
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 0.12 None None None None None 2.38
Degree 1 9 5.15 5.00 206 1.20e+27 62.35 1.82 0.35 1.95
Eccentricity 3 5 3.80 4.00 152 9.97e+22 52.96 0.56 0.15 0.83
Triangulated primal graph
Density: 30.26%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 None 0.78 None None None None None 2.75
Degree 1 25 11.80 10.50 472 2.05e+37 85.91 8.00 0.68 2.79
Eccentricity 2 4 3.25 3.00 130 1.71e+20 46.59 0.54 0.16 0.79
Dual graph
Density: 9.40%
MCB compute time (ms): 211
MCB cycles: 392
Triangles: 742
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.50 0.48 51.66 0.00 -72.01 0.08 0.15 3.24
Degree 3 14 9.59 10.00 988 MAX VALUE 229.61 2.28 0.24 2.18
Eccentricity 3 5 3.92 4.00 404 MAX VALUE 140.36 0.33 0.08 0.41
MCB cycle size 3 5 3.14 3.00 1,231 MAX VALUE 445.77 0.42 0.13 0.41
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 35
MCB cycles: 64
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 3.22 3.00 332 MAX VALUE 118.30 0.65 0.20 0.99
Eccentricity 6 8 6.63 7.00 683 MAX VALUE 194.45 0.59 0.09 0.87
MCB cycle size 4 9 6.91 7.00 442 MAX VALUE 122.53 1.22 0.18 1.48
Triangulated dual graph
Density: 32.42%
Triangles: 17,243
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.62 1.00 0.80 0.78 82.01 0.00 -24.70 0.12 0.16 4.10
Degree 3 61 33.07 32.00 3,406 MAX VALUE 334.43 19.62 0.59 3.51
Eccentricity 2 3 2.70 3.00 278 MAX VALUE 100.59 0.46 0.17 0.61
Triangulated minimal dual graph
Density: 11.80%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.77 0.67 78.98 0.00 -30.63 0.19 0.25 2.73
Degree 2 38 12.04 6.00 1,240 MAX VALUE 203.53 12.04 1.00 2.71
Eccentricity 3 5 3.76 4.00 387 MAX VALUE 135.21 0.55 0.15 0.81
Incidence graph
Density: 2.03%
MCB compute time (ms): 38
MCB cycles: 64
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 0.61
Degree 1 9 2.88 2.00 412 MAX VALUE 133.75 1.71 0.59 1.07
Eccentricity 7 11 8.22 8.00 1,176 MAX VALUE 300.69 0.77 0.09 1.12
MCB cycle size 6 10 7.72 8.00 494 MAX VALUE 129.78 1.36 0.18 1.01