Instance: rand-2-40-16-250-350-41_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:52
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 2 16 10.37 10.00 82,968 MAX VALUE 18,565.00 1.91 0.18 2.06
Relational linkage 0.12 0.69 0.45 0.44 290.00 0.00 -517.00 0.08 0.17 1.63
Tightness 0.27 0.46 0.35 0.35 87.95 0.00 -262.02 0.03 0.08 3.33
Tuples 138 187 165.94 166.00 41,484 MAX VALUE 1,277.65 7.45 0.04 3.33
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 20 12.50 12.00 500 MAX VALUE 99.29 3.58 0.29 2.47
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: 18
Number of leaves: 9
Tree depth: 4
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 13 92 45.28 37.50 815 1.38e+28 64.79 28.23 0.62 2.66
Cluster variables 8 23 14.44 13.50 260 1.97e+20 46.73 5.49 0.38 2.17
Separator constraints 0 84 31.39 25.00 565 0 None 26.39 0.84 2.66
Separator variables 0 22 12.22 12.00 220 0 None 5.88 0.48 2.27
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 42 906 271.32 225.50 10,310 MAX VALUE 202.88 202.13 0.74 3.60
Cluster variables 13 134 42.71 31.50 1,623 MAX VALUE 135.50 29.04 0.68 3.26
Separator constraints 0 452 188.90 172.50 7,178 0 None 119.77 0.63 3.60
Separator variables 0 97 36.13 29.50 1,373 0 None 22.09 0.61 3.26
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 0.14 0.56 0.34 0.33 13.63 0.00 -43.88 0.07 0.20 3.26
Degree 7 20 12.50 12.00 500 MAX VALUE 99.29 3.58 0.29 2.47
Eccentricity 2 3 2.27 2.00 91 9.51e+13 32.19 0.45 0.20 0.59
Triangulated primal graph
Density: 60.64%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.85 0.84 34.18 0.00 -6.56 0.10 0.11 3.13
Degree 7 34 23.65 28.00 946 MAX VALUE 121.81 9.41 0.40 2.73
Eccentricity 2 3 2.10 2.00 84 5.57e+12 29.35 0.30 0.14 0.33
Dual graph
Density: 10.06%
MCB compute time (ms): 2,046
MCB cycles: 4,424
Triangles: 13,426
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 0.63 0.52 0.50 129.05 0.00 -165.73 0.03 0.06 4.83
Degree 12 38 25.06 25.00 6,264 MAX VALUE 800.46 4.77 0.19 2.94
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.26 3.00 14,439 MAX VALUE 5,195.21 0.45 0.14 0.59
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 373
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 3.00 920 MAX VALUE 319.17 0.86 0.23 1.20
Eccentricity 6 8 7.08 7.00 1,771 MAX VALUE 488.68 0.56 0.08 0.83
MCB cycle size 4 10 6.82 7.00 1,438 MAX VALUE 401.82 1.11 0.16 1.46
Triangulated dual graph
Density: 52.93%
Triangles: 686,790
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.72 1.00 0.85 0.82 211.91 0.00 -42.32 0.08 0.09 5.01
Degree 12 195 131.80 166.00 32,950 MAX VALUE 1,178.54 57.92 0.44 4.10
Eccentricity 2 3 2.15 2.00 537 MAX VALUE 188.29 0.36 0.17 0.42
Triangulated minimal dual graph
Density: 11.24%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.81 0.78 203.22 0.00 -55.60 0.14 0.17 3.53
Degree 2 91 28.00 7.00 7,000 MAX VALUE 624.21 32.50 1.16 3.27
Eccentricity 3 5 3.74 4.00 935 MAX VALUE 327.16 0.53 0.14 0.78
Incidence graph
Density: 1.19%
MCB compute time (ms): 254
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 20 3.45 2.00 1,000 MAX VALUE 272.58 3.86 1.12 0.74
Eccentricity 5 6 5.90 6.00 1,711 MAX VALUE 514.32 0.30 0.05 0.33
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13