Instance: rand-2-40-40-135-650-86_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:41
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Number of coarse blocks: 10,800
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 5 25 13.97 14.00 150,908 MAX VALUE 28,216.80 3.00 0.21 2.52
Relational linkage 0.12 0.42 0.25 0.25 405.27 0.00 -2,226.80 0.05 0.19 2.06
Tightness 0.62 0.68 0.65 0.65 87.84 0.00 -58.04 0.01 0.02 3.99
Tuples 514 608 558.92 560.00 75,454 MAX VALUE 853.93 18.90 0.03 3.99
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 11 6.75 6.50 270 1.09e+32 73.77 2.32 0.34 2.12
Partitions per subscope 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 24
Number of leaves: 12
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 3 33 12.33 8.00 296 2.30e+23 53.79 9.11 0.74 2.61
Cluster variables 4 17 8.62 7.00 207 1.99e+21 49.04 4.14 0.48 2.39
Separator constraints 0 25 6.71 3.00 161 0 None 7.82 1.17 2.43
Separator variables 0 15 6.96 6.00 167 0 None 4.03 0.58 2.39
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 12 196 64.95 51.50 2,468 MAX VALUE 148.54 47.96 0.74 3.33
Cluster variables 7 60 20.50 17.00 779 MAX VALUE 108.34 13.14 0.64 3.05
Separator constraints 0 112 41.68 34.00 1,584 0 None 30.02 0.72 3.44
Separator variables 0 46 16.95 15.00 644 0 None 10.10 0.60 3.07
Primal graph
Density: 17.31%
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 0.15 0.14 5.85 0.00 None 0.09 0.62 2.96
Degree 3 11 6.75 6.50 270 1.09e+32 73.77 2.32 0.34 2.12
Eccentricity 3 3 3.00 3.00 120 1.22e+19 43.94 0.00 0.00 0.00
Triangulated primal graph
Density: 38.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 0.81 0.78 32.56 0.00 -8.82 0.14 0.17 2.87
Degree 3 27 15.15 16.00 606 MAX VALUE 98.73 8.93 0.59 2.82
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.77%
MCB compute time (ms): 411
MCB cycles: 815
Triangles: 1,906
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 0.70 0.51 0.50 68.53 0.00 -92.08 0.05 0.09 3.89
Degree 6 20 13.10 13.00 1,768 MAX VALUE 343.16 3.11 0.24 2.47
Eccentricity 3 4 3.41 3.00 461 MAX VALUE 164.42 0.49 0.14 0.68
MCB cycle size 3 5 3.15 3.00 2,568 MAX VALUE 929.85 0.40 0.13 0.44
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 67
MCB cycles: 96
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 3.41 3.00 460 MAX VALUE 162.99 0.65 0.19 0.98
Eccentricity 6 8 6.74 7.00 910 MAX VALUE 257.14 0.56 0.08 0.83
MCB cycle size 4 9 6.83 7.00 656 MAX VALUE 182.88 1.19 0.17 1.53
Triangulated dual graph
Density: 42.03%
Triangles: 68,581
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.83 0.80 111.42 0.00 -26.79 0.09 0.11 4.38
Degree 6 94 56.33 64.00 7,604 MAX VALUE 512.92 29.89 0.53 3.79
Eccentricity 2 3 2.40 2.00 324 MAX VALUE 115.47 0.49 0.20 0.67
Triangulated minimal dual graph
Density: 12.11%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.79 0.70 106.23 0.00 -35.58 0.17 0.22 3.01
Degree 2 48 16.22 7.00 2,190 MAX VALUE 295.95 16.85 1.04 2.92
Eccentricity 3 4 3.60 4.00 486 MAX VALUE 171.62 0.49 0.14 0.67
Incidence graph
Density: 1.77%
MCB compute time (ms): 78
MCB cycles: 96
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 11 3.09 2.00 540 MAX VALUE 167.35 2.28 0.74 1.02
Eccentricity 6 8 7.18 7.00 1,256 MAX VALUE 344.16 0.66 0.09 0.98
MCB cycle size 6 10 7.08 8.00 680 MAX VALUE 186.90 1.04 0.15 0.74