Instance: rand-2-40-40-135-650-94_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:43
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 4 26 14.08 14.00 152,074 MAX VALUE 28,302.80 3.00 0.21 2.52
Relational linkage 0.10 0.47 0.26 0.25 410.25 0.00 -2,209.13 0.05 0.19 2.09
Tightness 0.62 0.68 0.65 0.65 87.48 0.00 -58.60 0.01 0.02 4.07
Tuples 511 611 563.24 564.00 76,037 MAX VALUE 854.96 20.22 0.04 4.07
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 11 6.75 7.00 270 1.41e+32 74.02 2.13 0.32 2.09
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: 25
Number of leaves: 10
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 2 27 13.32 10.00 333 3.73e+25 58.88 8.30 0.62 2.61
Cluster variables 3 16 9.52 9.00 238 1.63e+23 53.45 4.35 0.46 2.18
Separator constraints 0 23 7.92 3.00 198 0 None 7.86 0.99 2.48
Separator variables 0 15 7.92 8.00 198 0 None 4.44 0.56 2.28
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 18 171 61.32 52.50 2,330 MAX VALUE 149.60 38.04 0.62 3.51
Cluster variables 8 53 19.84 16.00 754 MAX VALUE 108.11 11.71 0.59 2.94
Separator constraints 0 95 38.50 31.50 1,463 0 None 23.74 0.62 3.19
Separator variables 0 42 16.29 13.50 619 0 None 8.92 0.55 2.94
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 0.50 0.17 0.19 6.81 0.00 None 0.10 0.60 2.92
Degree 2 11 6.75 7.00 270 1.41e+32 74.02 2.13 0.32 2.09
Eccentricity 3 4 3.17 3.00 127 9.11e+19 45.96 0.38 0.12 0.46
Triangulated primal graph
Density: 40.77%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.81 0.77 32.49 0.00 -8.86 0.13 0.17 2.99
Degree 2 27 15.90 19.00 636 MAX VALUE 101.36 8.74 0.55 2.88
Eccentricity 2 3 2.52 3.00 101 5.48e+15 36.24 0.50 0.20 0.69
Dual graph
Density: 9.59%
MCB compute time (ms): 408
MCB cycles: 809
Triangles: 1,799
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 0.78 0.50 0.49 67.67 0.00 -93.87 0.05 0.10 3.73
Degree 7 20 12.84 13.00 1,734 MAX VALUE 341.04 2.91 0.23 2.43
Eccentricity 3 4 3.47 3.00 469 MAX VALUE 166.72 0.50 0.14 0.69
MCB cycle size 3 5 3.17 3.00 2,564 MAX VALUE 927.16 0.42 0.13 0.48
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 74
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 162.52 0.69 0.20 1.05
Eccentricity 6 8 6.63 7.00 895 MAX VALUE 254.89 0.55 0.08 0.81
MCB cycle size 5 9 6.78 7.00 651 MAX VALUE 182.62 1.02 0.15 1.38
Triangulated dual graph
Density: 38.31%
Triangles: 55,838
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.61 1.00 0.81 0.78 109.57 0.00 -29.26 0.10 0.13 4.39
Degree 7 92 51.33 53.00 6,930 MAX VALUE 501.00 28.08 0.55 3.64
Eccentricity 2 3 2.53 3.00 341 MAX VALUE 122.36 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.55%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.77 0.71 104.32 0.00 -38.31 0.18 0.23 3.19
Degree 2 48 15.48 7.00 2,090 MAX VALUE 292.71 15.93 1.03 2.99
Eccentricity 3 5 3.81 4.00 514 MAX VALUE 178.90 0.58 0.15 0.86
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 167.60 2.24 0.73 0.98
Eccentricity 6 9 7.33 7.00 1,283 MAX VALUE 347.94 0.64 0.09 0.97
MCB cycle size 6 8 7.02 8.00 674 MAX VALUE 186.10 1.00 0.14 0.69