Instance: rand-2-40-40-135-650-19_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:47
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 25 14.03 14.00 151,504 MAX VALUE 28,256.30 3.03 0.22 2.52
Relational linkage 0.10 0.42 0.25 0.25 405.32 0.00 -2,227.65 0.05 0.19 2.06
Tightness 0.62 0.68 0.65 0.65 87.66 0.00 -58.33 0.01 0.02 3.90
Tuples 517 615 561.13 559.00 75,752 MAX VALUE 854.46 19.58 0.03 3.90
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 4 12 6.75 6.50 270 2.65e+32 74.66 2.02 0.30 1.99
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: 13
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 4 26 11.21 10.00 269 6.66e+23 54.86 5.82 0.52 2.50
Cluster variables 5 17 9.17 7.00 220 1.24e+22 50.87 4.17 0.45 2.13
Separator constraints 0 16 5.58 4.00 134 0 None 5.40 0.97 2.27
Separator variables 0 16 7.50 6.00 180 0 None 4.14 0.55 2.19
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 16 140 58.50 51.50 2,223 MAX VALUE 148.06 33.86 0.58 3.33
Cluster variables 8 54 19.84 16.00 754 MAX VALUE 108.03 11.73 0.59 3.01
Separator constraints 0 80 35.92 31.00 1,365 0 None 20.25 0.56 3.38
Separator variables 0 41 16.29 14.00 619 0 None 8.99 0.55 2.90
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 0.67 0.17 0.14 6.82 0.00 None 0.13 0.75 2.99
Degree 4 12 6.75 6.50 270 2.65e+32 74.66 2.02 0.30 1.99
Eccentricity 3 4 3.10 3.00 124 3.84e+19 45.10 0.30 0.10 0.33
Triangulated primal graph
Density: 40.51%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 0.82 0.77 32.69 0.00 -8.71 0.15 0.18 2.79
Degree 4 28 15.80 16.50 632 MAX VALUE 101.33 9.04 0.57 2.73
Eccentricity 2 3 2.45 2.00 98 1.62e+15 35.02 0.50 0.20 0.69
Dual graph
Density: 9.49%
MCB compute time (ms): 309
MCB cycles: 899
Triangles: 1,784
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 0.67 0.50 0.49 67.63 0.00 -93.81 0.04 0.09 3.75
Degree 7 21 12.71 12.00 1,716 MAX VALUE 339.84 2.84 0.22 2.41
Eccentricity 3 4 3.48 3.00 470 MAX VALUE 167.01 0.50 0.14 0.69
MCB cycle size 3 5 3.31 3.00 2,977 MAX VALUE 1,064.72 0.58 0.17 0.70
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 62
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 1.67 0.00 None 0.06 4.83 0.21
Degree 2 5 3.41 3.00 460 MAX VALUE 162.56 0.70 0.21 1.06
Eccentricity 5 8 6.82 7.00 921 MAX VALUE 258.60 0.65 0.10 0.99
MCB cycle size 3 9 6.67 7.00 640 MAX VALUE 180.24 1.22 0.18 1.55
Triangulated dual graph
Density: 38.18%
Triangles: 55,091
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.81 0.80 109.61 0.00 -29.26 0.11 0.13 4.41
Degree 7 88 51.16 50.00 6,906 MAX VALUE 500.64 27.92 0.55 3.72
Eccentricity 2 3 2.47 2.00 334 MAX VALUE 119.53 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.23%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.77 0.71 103.71 0.00 -38.96 0.17 0.22 3.09
Degree 2 48 15.05 7.00 2,032 MAX VALUE 290.61 15.53 1.03 2.97
Eccentricity 3 4 3.65 4.00 493 MAX VALUE 173.63 0.48 0.13 0.65
Incidence graph
Density: 1.77%
MCB compute time (ms): 70
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 12 3.09 2.00 540 MAX VALUE 168.23 2.22 0.72 0.99
Eccentricity 6 9 7.33 7.00 1,282 MAX VALUE 347.82 0.63 0.09 0.96
MCB cycle size 6 8 7.08 8.00 680 MAX VALUE 186.97 1.00 0.14 0.69