Instance: rand-2-40-16-250-350-27_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:04
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 250
General features
Number of coarse blocks: 8,000
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 500 MAX VALUE 173.29 0.00 0.00 0.00
Coarse blocks size 3 16 10.45 11.00 83,630 MAX VALUE 18,633.90 1.90 0.18 2.06
Relational linkage 0.19 0.69 0.46 0.44 291.31 0.00 -512.68 0.07 0.16 1.57
Tightness 0.25 0.43 0.35 0.35 86.66 0.00 -265.81 0.03 0.09 3.35
Tuples 147 193 167.26 167.00 41,815 MAX VALUE 1,279.62 7.71 0.05 3.35
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 5 18 12.50 12.50 500 MAX VALUE 99.76 2.93 0.23 2.34
Partitions per subscope 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 16
Number of leaves: 8
Tree depth: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 8 111 43.38 27.00 694 2.26e+24 56.08 31.04 0.72 2.69
Cluster variables 6 25 14.06 11.50 225 6.54e+17 41.02 5.58 0.40 2.48
Separator constraints 0 89 27.75 16.00 444 0 None 25.64 0.92 2.69
Separator variables 0 22 11.56 10.00 185 0 None 5.67 0.49 2.48
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
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 47 880 272.66 207.50 10,361 MAX VALUE 204.17 200.96 0.74 3.53
Cluster variables 13 133 43.45 30.50 1,651 MAX VALUE 136.16 29.96 0.69 3.32
Separator constraints 0 470 192.47 161.50 7,314 0 None 117.44 0.61 3.53
Separator variables 0 103 36.87 27.50 1,401 0 None 22.81 0.62 3.37
Primal graph
Density: 32.05%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.21 0.45 0.31 0.30 12.24 0.00 -47.93 0.05 0.17 3.30
Degree 5 18 12.50 12.50 500 MAX VALUE 99.76 2.93 0.23 2.34
Eccentricity 2 3 2.27 2.00 91 9.51e+13 32.19 0.45 0.20 0.59
Triangulated primal graph
Density: 62.18%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.86 0.84 34.45 0.00 -6.20 0.09 0.11 3.24
Degree 5 34 24.25 29.00 970 MAX VALUE 122.84 9.46 0.39 2.76
Eccentricity 2 3 2.12 2.00 85 8.35e+12 29.75 0.33 0.16 0.38
Dual graph
Density: 9.79%
MCB compute time (ms): 1,091
MCB cycles: 3,928
Triangles: 12,298
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 0.65 0.51 0.50 126.97 0.00 -169.65 0.02 0.05 4.58
Degree 12 33 24.38 24.00 6,094 MAX VALUE 795.42 3.64 0.15 2.68
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.21 3.00 12,593 MAX VALUE 4,547.70 0.41 0.13 0.52
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 273
MCB cycles: 211
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 6 3.68 4.00 920 MAX VALUE 319.94 0.80 0.22 1.15
Eccentricity 6 9 7.27 7.00 1,817 MAX VALUE 495.19 0.54 0.07 0.80
MCB cycle size 4 9 6.73 7.00 1,419 MAX VALUE 399.06 1.10 0.16 1.46
Triangulated dual graph
Density: 54.88%
Triangles: 741,801
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.85 0.83 213.47 0.00 -40.37 0.07 0.09 4.88
Degree 12 198 136.66 159.50 34,164 MAX VALUE 1,187.90 58.60 0.43 3.96
Eccentricity 2 3 2.16 2.00 540 MAX VALUE 189.50 0.37 0.17 0.44
Triangulated minimal dual graph
Density: 11.07%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.81 0.78 202.91 0.00 -56.47 0.15 0.18 3.51
Degree 2 88 27.56 7.50 6,890 MAX VALUE 623.83 31.94 1.16 3.20
Eccentricity 3 5 3.81 4.00 953 MAX VALUE 331.76 0.56 0.15 0.83
Incidence graph
Density: 1.19%
MCB compute time (ms): 216
MCB cycles: 211
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 18 3.45 2.00 1,000 MAX VALUE 273.04 3.78 1.10 0.72
Eccentricity 5 7 5.92 6.00 1,716 MAX VALUE 515.09 0.33 0.06 0.41
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13