Instance: rand-2-40-40-135-650-23_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 25 13.91 14.00 150,216 MAX VALUE 28,169.00 2.98 0.21 2.51
Relational linkage 0.10 0.42 0.25 0.25 405.85 0.00 -2,225.23 0.05 0.19 2.07
Tightness 0.62 0.69 0.65 0.65 88.06 0.00 -57.70 0.01 0.02 3.98
Tuples 501 601 556.36 557.00 75,108 MAX VALUE 853.32 18.04 0.03 3.98
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 1.52e+32 74.10 2.08 0.31 2.05
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 2 34 12.25 9.00 294 1.42e+23 53.31 9.21 0.75 2.59
Cluster variables 3 17 9.17 8.00 220 7.22e+21 50.33 4.38 0.48 2.38
Separator constraints 0 29 6.62 2.50 159 0 None 8.25 1.24 2.45
Separator variables 0 16 7.50 6.50 180 0 None 4.36 0.58 2.46
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 16 176 61.63 56.00 2,342 MAX VALUE 149.19 38.79 0.63 3.49
Cluster variables 8 61 20.55 15.50 781 MAX VALUE 108.82 12.79 0.62 2.96
Separator constraints 0 92 38.92 37.00 1,479 0 None 23.05 0.59 3.42
Separator variables 0 43 17.00 14.00 646 0 None 9.75 0.57 3.10
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 0.13 0.13 5.37 0.00 None 0.08 0.61 2.66
Degree 2 11 6.75 7.00 270 1.52e+32 74.10 2.08 0.31 2.05
Eccentricity 3 4 3.12 3.00 125 5.12e+19 45.38 0.33 0.11 0.38
Triangulated primal graph
Density: 40.51%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.82 0.83 32.92 0.00 -8.44 0.15 0.18 2.91
Degree 2 30 15.80 18.50 632 MAX VALUE 100.58 9.11 0.58 2.90
Eccentricity 2 3 2.45 2.00 98 1.62e+15 35.02 0.50 0.20 0.69
Dual graph
Density: 9.54%
MCB compute time (ms): 174
MCB cycles: 867
Triangles: 1,766
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 0.50 0.49 67.32 0.00 -94.45 0.05 0.09 3.75
Degree 7 20 12.79 13.00 1,726 MAX VALUE 340.71 2.74 0.21 2.39
Eccentricity 3 4 3.37 3.00 455 MAX VALUE 162.70 0.48 0.14 0.66
MCB cycle size 3 5 3.26 3.00 2,829 MAX VALUE 1,015.76 0.53 0.16 0.64
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 42
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 162.79 0.68 0.20 1.02
Eccentricity 6 8 6.70 7.00 905 MAX VALUE 256.41 0.55 0.08 0.80
MCB cycle size 4 9 6.94 7.00 666 MAX VALUE 184.44 1.14 0.16 1.46
Triangulated dual graph
Density: 41.63%
Triangles: 66,765
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.69 1.00 0.82 0.79 111.03 0.00 -27.26 0.10 0.12 4.40
Degree 7 91 55.78 62.00 7,530 MAX VALUE 512.44 29.56 0.53 3.64
Eccentricity 2 3 2.48 2.00 335 MAX VALUE 119.93 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.15%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.79 0.71 106.12 0.00 -35.58 0.17 0.21 3.07
Degree 2 48 16.28 7.00 2,198 MAX VALUE 295.70 17.00 1.04 2.84
Eccentricity 3 5 3.74 4.00 505 MAX VALUE 176.56 0.56 0.15 0.83
Incidence graph
Density: 1.77%
MCB compute time (ms): 47
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 167.67 2.23 0.72 0.97
Eccentricity 6 8 7.22 7.00 1,264 MAX VALUE 345.41 0.60 0.08 0.89
MCB cycle size 6 10 7.19 8.00 690 MAX VALUE 188.34 1.02 0.14 0.73