Instance: rand-2-40-80-103-800-96_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:58
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: 16,480
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 206 1.01e+31 71.39 0.00 0.00 0.00
Coarse blocks size 4 32 15.99 16.00 263,566 MAX VALUE 45,250.70 3.57 0.22 2.69
Relational linkage 0.05 0.28 0.15 0.15 480.46 0.00 -6,133.38 0.03 0.20 2.28
Tightness 0.79 0.81 0.80 0.80 82.41 0.00 -22.97 0.00 0.01 4.11
Tuples 1,211 1,370 1,279.45 1,278.00 131,783 MAX VALUE 736.85 31.29 0.02 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 10 5.15 5.00 206 1.85e+27 62.78 1.90 0.37 1.98
Partitions per subscope 80 80 80.00 80.00 3,200 MAX VALUE 175.28 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 2 13 5.79 5.00 162 4.30e+19 45.21 3.11 0.54 2.23
Cluster variables 3 13 6.82 6.00 191 1.68e+22 51.18 3.01 0.44 2.11
Separator constraints 0 8 2.11 1.00 59 0 None 2.55 1.21 1.73
Separator variables 0 12 5.39 4.50 151 0 None 2.96 0.55 2.18
Dual tree decomposition
Number of clusters: 38
Number of leaves: 12
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 77 29.24 24.00 1,111 MAX VALUE 119.83 18.81 0.64 3.30
Cluster variables 4 36 13.89 11.50 528 MAX VALUE 94.29 8.12 0.58 2.73
Separator constraints 0 42 16.08 14.00 611 0 None 10.91 0.68 3.17
Separator variables 0 27 11.18 10.00 425 0 None 6.30 0.56 2.67
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 0.07 0.05 2.96 0.00 None 0.09 1.16 1.86
Degree 2 10 5.15 5.00 206 1.85e+27 62.78 1.90 0.37 1.98
Eccentricity 3 4 3.42 3.00 137 1.62e+21 48.84 0.49 0.14 0.68
Triangulated primal graph
Density: 29.36%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.78 0.78 31.38 0.00 -10.75 0.17 0.22 2.74
Degree 2 26 11.45 8.50 458 3.21e+37 86.36 7.73 0.68 2.84
Eccentricity 2 3 2.62 3.00 105 2.78e+16 37.86 0.48 0.18 0.66
Dual graph
Density: 9.52%
MCB compute time (ms): 126
MCB cycles: 490
Triangles: 792
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 0.80 0.50 0.48 51.24 0.00 -72.86 0.07 0.14 3.40
Degree 3 17 9.71 10.00 1,000 MAX VALUE 230.05 2.59 0.27 2.32
Eccentricity 3 4 3.85 4.00 397 MAX VALUE 138.47 0.35 0.09 0.42
MCB cycle size 3 6 3.49 3.00 1,708 MAX VALUE 600.58 0.80 0.23 0.81
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 38
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 118.53 0.62 0.19 0.94
Eccentricity 5 8 6.50 6.00 670 MAX VALUE 192.50 0.56 0.09 0.82
MCB cycle size 4 9 7.06 7.00 452 MAX VALUE 124.25 1.07 0.15 1.37
Triangulated dual graph
Density: 33.07%
Triangles: 18,233
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.80 0.78 82.17 0.00 -24.33 0.11 0.14 4.22
Degree 3 63 33.73 37.00 3,474 MAX VALUE 335.78 19.94 0.59 3.64
Eccentricity 2 4 2.80 3.00 288 MAX VALUE 104.17 0.49 0.18 0.71
Triangulated minimal dual graph
Density: 12.45%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.77 0.69 79.19 0.00 -30.06 0.18 0.24 2.85
Degree 2 41 12.70 6.00 1,308 MAX VALUE 209.18 12.58 0.99 2.77
Eccentricity 3 5 3.69 4.00 380 MAX VALUE 133.45 0.50 0.14 0.72
Incidence graph
Density: 2.03%
MCB compute time (ms): 57
MCB cycles: 65
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 10 2.88 2.00 412 MAX VALUE 134.18 1.74 0.60 1.08
Eccentricity 7 9 7.83 8.00 1,120 MAX VALUE 293.94 0.58 0.07 0.87
MCB cycle size 6 10 7.97 8.00 518 MAX VALUE 134.10 1.24 0.16 0.93