Instance: rand-2-40-16-250-350-59_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:09
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 10.43 10.00 83,410 MAX VALUE 18,607.80 1.91 0.18 2.06
Relational linkage 0.19 0.69 0.45 0.44 288.12 0.00 -521.24 0.08 0.17 1.61
Tightness 0.29 0.44 0.35 0.35 87.09 0.00 -264.48 0.03 0.08 3.31
Tuples 144 183 166.82 167.00 41,705 MAX VALUE 1,278.98 7.36 0.04 3.31
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 4 20 12.50 12.00 500 MAX VALUE 99.78 2.93 0.23 2.25
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: 7
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 6 105 52.06 50.00 833 8.23e+25 59.67 30.56 0.59 2.57
Cluster variables 5 25 16.06 15.50 257 5.53e+18 43.16 5.89 0.37 2.17
Separator constraints 0 94 36.44 30.00 583 0 None 28.35 0.78 2.57
Separator variables 0 24 13.56 13.50 217 0 None 6.45 0.48 2.25
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 62 917 272.39 188.00 10,351 MAX VALUE 204.28 201.50 0.74 3.42
Cluster variables 14 135 42.97 32.00 1,633 MAX VALUE 136.03 29.09 0.68 3.33
Separator constraints 0 490 192.21 161.00 7,304 0 None 120.61 0.63 3.46
Separator variables 0 96 36.39 29.50 1,383 0 None 22.12 0.61 3.25
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 0.18 0.46 0.34 0.34 13.45 0.00 -44.27 0.06 0.18 3.29
Degree 4 20 12.50 12.00 500 MAX VALUE 99.78 2.93 0.23 2.25
Eccentricity 2 3 2.38 2.00 95 4.81e+14 33.81 0.48 0.20 0.66
Triangulated primal graph
Density: 66.28%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.72 1.00 0.87 0.86 34.75 0.00 -5.81 0.08 0.09 3.28
Degree 4 36 25.85 30.50 1,034 MAX VALUE 126.16 9.05 0.35 2.61
Eccentricity 2 3 2.10 2.00 84 5.57e+12 29.35 0.30 0.14 0.33
Dual graph
Density: 9.79%
MCB compute time (ms): 1,876
MCB cycles: 4,527
Triangles: 12,410
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 0.68 0.51 0.50 126.79 0.00 -170.01 0.02 0.05 4.53
Degree 13 37 24.38 24.00 6,094 MAX VALUE 794.79 4.10 0.17 2.79
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 14,739 MAX VALUE 5,305.00 0.45 0.14 0.59
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 390
MCB cycles: 212
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 319.91 0.80 0.22 1.14
Eccentricity 6 8 7.12 7.00 1,780 MAX VALUE 489.97 0.55 0.08 0.83
MCB cycle size 4 10 6.79 7.00 1,440 MAX VALUE 402.99 1.12 0.17 1.50
Triangulated dual graph
Density: 53.28%
Triangles: 698,217
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.76 1.00 0.85 0.81 212.26 0.00 -41.84 0.07 0.09 4.71
Degree 13 189 132.67 174.00 33,168 MAX VALUE 1,179.87 58.20 0.44 3.85
Eccentricity 2 3 2.19 2.00 548 MAX VALUE 192.75 0.39 0.18 0.49
Triangulated minimal dual graph
Density: 10.59%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.81 0.75 201.84 0.00 -57.65 0.15 0.18 3.51
Degree 2 85 26.36 8.00 6,590 MAX VALUE 616.76 30.65 1.16 3.25
Eccentricity 3 5 3.74 4.00 936 MAX VALUE 327.58 0.51 0.14 0.75
Incidence graph
Density: 1.19%
MCB compute time (ms): 234
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 273.06 3.78 1.10 0.71
Eccentricity 5 7 5.98 6.00 1,733 MAX VALUE 517.83 0.38 0.06 0.52
MCB cycle size 6 8 6.04 6.00 1,274 MAX VALUE 379.21 0.27 0.05 0.09