Instance: rand-2-40-40-135-650-7_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 27 13.94 14.00 150,566 MAX VALUE 28,186.00 3.03 0.22 2.52
Relational linkage 0.07 0.42 0.25 0.25 404.48 0.00 -2,230.86 0.05 0.19 2.06
Tightness 0.61 0.68 0.65 0.65 87.95 0.00 -57.88 0.01 0.02 4.07
Tuples 510 629 557.65 557.00 75,283 MAX VALUE 853.61 21.29 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 2.26e+32 74.50 1.92 0.28 2.01
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: 22
Number of leaves: 9
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 2 37 12.50 9.50 275 5.50e+21 50.06 9.33 0.75 2.35
Cluster variables 3 19 9.55 9.00 210 2.98e+20 47.15 4.54 0.48 2.46
Separator constraints 0 29 6.36 4.00 140 0 None 7.97 1.25 2.14
Separator variables 0 17 7.73 7.50 170 0 None 4.38 0.57 2.46
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 17 159 60.03 52.50 2,281 MAX VALUE 148.30 37.61 0.63 3.33
Cluster variables 8 56 20.21 15.50 768 MAX VALUE 108.44 12.31 0.61 2.93
Separator constraints 0 87 37.66 32.50 1,431 0 None 23.21 0.62 3.22
Separator variables 0 43 16.66 14.00 633 0 None 9.47 0.57 2.92
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 0.40 0.14 0.14 5.71 0.00 None 0.07 0.50 2.74
Degree 2 11 6.75 7.00 270 2.26e+32 74.50 1.92 0.28 2.01
Eccentricity 3 4 3.10 3.00 124 3.84e+19 45.10 0.30 0.10 0.33
Triangulated primal graph
Density: 43.72%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.59 1.00 0.82 0.81 32.92 0.00 -8.22 0.12 0.15 3.16
Degree 2 30 17.05 21.00 682 MAX VALUE 104.65 9.18 0.54 2.79
Eccentricity 2 3 2.38 2.00 95 4.81e+14 33.81 0.48 0.20 0.66
Dual graph
Density: 9.40%
MCB compute time (ms): 491
MCB cycles: 768
Triangles: 1,693
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 0.71 0.49 0.48 66.03 0.00 -96.89 0.04 0.08 3.54
Degree 7 19 12.59 13.00 1,700 MAX VALUE 338.28 2.84 0.23 2.40
Eccentricity 3 4 3.46 3.00 467 MAX VALUE 166.15 0.50 0.14 0.69
MCB cycle size 3 5 3.16 3.00 2,426 MAX VALUE 877.93 0.41 0.13 0.46
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 163.59 0.57 0.17 0.86
Eccentricity 6 8 6.70 7.00 904 MAX VALUE 256.30 0.52 0.08 0.76
MCB cycle size 4 9 6.91 7.00 663 MAX VALUE 184.30 1.04 0.15 1.39
Triangulated dual graph
Density: 39.77%
Triangles: 60,838
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.82 0.78 110.40 0.00 -28.15 0.10 0.12 4.31
Degree 7 91 53.29 69.00 7,194 MAX VALUE 505.56 29.01 0.54 3.68
Eccentricity 2 3 2.44 2.00 329 MAX VALUE 117.50 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.58%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.79 0.72 105.98 0.00 -35.73 0.17 0.21 3.08
Degree 2 50 16.86 7.00 2,276 MAX VALUE 302.65 17.19 1.02 2.89
Eccentricity 3 5 3.73 4.00 503 MAX VALUE 176.18 0.52 0.14 0.76
Incidence graph
Density: 1.77%
MCB compute time (ms): 73
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 168.07 2.20 0.71 0.96
Eccentricity 6 9 7.34 7.00 1,284 MAX VALUE 348.20 0.59 0.08 0.89
MCB cycle size 6 10 7.21 8.00 692 MAX VALUE 188.56 1.06 0.15 0.77