Instance: rand-2-40-16-250-350-99_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:07
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 10.36 10.00 82,918 MAX VALUE 18,559.40 1.91 0.18 2.06
Relational linkage 0.12 0.69 0.45 0.44 288.12 0.00 -521.87 0.08 0.17 1.63
Tightness 0.29 0.46 0.35 0.35 88.05 0.00 -261.83 0.03 0.09 3.36
Tuples 137 183 165.84 166.00 41,459 MAX VALUE 1,277.47 7.81 0.05 3.36
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 18 12.50 12.50 500 MAX VALUE 100.14 2.52 0.20 2.13
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: 4
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 14 109 52.19 43.50 835 9.68e+25 59.83 32.57 0.62 2.77
Cluster variables 8 25 15.81 15.00 253 4.46e+18 42.94 6.05 0.38 2.31
Separator constraints 0 93 36.56 27.00 585 0 None 30.77 0.84 2.77
Separator variables 0 23 13.31 13.00 213 0 None 6.55 0.49 2.31
Dual tree decomposition
Number of clusters: 38
Number of leaves: 18
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 68 756 258.89 203.50 9,838 MAX VALUE 203.93 169.78 0.66 3.56
Cluster variables 16 126 42.42 30.50 1,612 MAX VALUE 136.10 27.45 0.65 3.23
Separator constraints 0 428 179.90 165.00 6,836 0 None 96.35 0.54 3.56
Separator variables 0 97 35.84 29.00 1,362 0 None 20.65 0.58 3.11
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 0.54 0.31 0.31 12.30 0.00 -47.86 0.06 0.19 3.41
Degree 7 18 12.50 12.50 500 MAX VALUE 100.14 2.52 0.20 2.13
Eccentricity 2 3 2.17 2.00 87 1.88e+13 30.56 0.38 0.17 0.46
Triangulated primal graph
Density: 65.77%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.87 0.85 34.76 0.00 -5.79 0.08 0.10 3.20
Degree 7 35 25.65 30.50 1,026 MAX VALUE 125.77 9.24 0.36 2.74
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.64%
MCB compute time (ms): 4,392
MCB cycles: 3,088
Triangles: 11,806
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 0.60 0.50 0.50 125.86 0.00 -171.74 0.02 0.04 4.34
Degree 15 31 24.02 24.00 6,004 MAX VALUE 792.25 3.27 0.14 2.54
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.10 3.00 9,568 MAX VALUE 3,479.97 0.30 0.10 0.32
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 318
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 3.50 920 MAX VALUE 319.32 0.85 0.23 1.19
Eccentricity 6 9 7.15 7.00 1,788 MAX VALUE 490.90 0.62 0.09 0.94
MCB cycle size 4 10 6.63 7.00 1,399 MAX VALUE 395.94 1.13 0.17 1.53
Triangulated dual graph
Density: 50.99%
Triangles: 632,039
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.84 0.81 210.29 0.00 -44.40 0.08 0.10 4.80
Degree 15 187 126.98 160.00 31,744 MAX VALUE 1,169.49 56.83 0.45 4.00
Eccentricity 2 3 2.22 2.00 556 MAX VALUE 195.99 0.42 0.19 0.53
Triangulated minimal dual graph
Density: 11.25%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.81 0.78 203.49 0.00 -55.50 0.15 0.18 3.48
Degree 2 87 28.01 7.50 7,002 MAX VALUE 623.31 32.66 1.17 3.17
Eccentricity 3 5 3.73 4.00 933 MAX VALUE 326.65 0.53 0.14 0.77
Incidence graph
Density: 1.19%
MCB compute time (ms): 251
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 273.43 3.74 1.08 0.70
Eccentricity 5 7 5.89 6.00 1,709 MAX VALUE 513.90 0.33 0.06 0.39
MCB cycle size 6 8 6.03 6.00 1,272 MAX VALUE 378.92 0.24 0.04 0.07