Instance: rand-2-40-40-135-650-99_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:38
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 3 26 14.04 14.00 151,660 MAX VALUE 28,264.10 3.03 0.22 2.53
Relational linkage 0.07 0.42 0.26 0.25 408.10 0.00 -2,219.50 0.05 0.20 2.10
Tightness 0.62 0.68 0.65 0.65 87.61 0.00 -58.40 0.01 0.02 4.01
Tuples 516 607 561.70 561.00 75,830 MAX VALUE 854.61 18.83 0.03 4.01
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 2.10e+32 74.43 2.01 0.30 2.04
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: 5
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 3 25 10.71 8.50 257 6.38e+22 52.51 6.43 0.60 2.54
Cluster variables 4 17 9.25 7.00 222 1.14e+22 50.79 4.34 0.47 2.14
Separator constraints 0 16 5.08 2.00 122 0 None 5.38 1.06 2.21
Separator variables 0 16 7.58 6.00 182 0 None 4.33 0.57 2.20
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 12 164 59.63 52.50 2,266 MAX VALUE 146.78 38.15 0.64 3.40
Cluster variables 7 57 19.95 16.00 758 MAX VALUE 107.81 12.09 0.61 3.11
Separator constraints 0 91 37.08 32.50 1,409 0 None 24.01 0.65 3.21
Separator variables 0 41 16.39 14.50 623 0 None 9.23 0.56 2.97
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 0.14 0.14 5.41 0.00 None 0.08 0.57 2.76
Degree 3 11 6.75 6.50 270 2.10e+32 74.43 2.01 0.30 2.04
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 40.77%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 0.82 0.80 32.72 0.00 -8.63 0.14 0.17 2.91
Degree 3 29 15.90 17.50 636 MAX VALUE 101.28 9.08 0.57 2.89
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.47%
MCB compute time (ms): 256
MCB cycles: 947
Triangles: 1,738
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 0.67 0.49 0.49 66.47 0.00 -96.02 0.04 0.08 3.73
Degree 6 19 12.70 13.00 1,714 MAX VALUE 339.27 2.85 0.22 2.42
Eccentricity 3 4 3.49 3.00 471 MAX VALUE 167.30 0.50 0.14 0.69
MCB cycle size 3 6 3.39 3.00 3,210 MAX VALUE 1,140.42 0.66 0.20 0.80
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 59
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 162.13 0.75 0.22 1.12
Eccentricity 6 8 6.67 7.00 901 MAX VALUE 255.83 0.53 0.08 0.77
MCB cycle size 4 9 6.74 7.00 647 MAX VALUE 181.80 1.11 0.16 1.50
Triangulated dual graph
Density: 39.18%
Triangles: 58,575
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.81 0.79 110.01 0.00 -28.68 0.10 0.13 4.29
Degree 6 89 52.50 53.00 7,088 MAX VALUE 503.76 28.51 0.54 3.69
Eccentricity 2 3 2.58 3.00 348 MAX VALUE 125.20 0.49 0.19 0.68
Triangulated minimal dual graph
Density: 12.00%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 1.00 0.78 0.74 105.61 0.00 -36.20 0.17 0.21 3.08
Degree 2 48 16.07 6.00 2,170 MAX VALUE 293.39 16.84 1.05 2.91
Eccentricity 3 5 3.73 4.00 504 MAX VALUE 176.41 0.53 0.14 0.78
Incidence graph
Density: 1.77%
MCB compute time (ms): 67
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 168.00 2.21 0.72 1.00
Eccentricity 6 8 7.35 7.00 1,287 MAX VALUE 348.69 0.55 0.07 0.80
MCB cycle size 6 10 7.19 8.00 690 MAX VALUE 188.28 1.06 0.15 0.77