Instance: rand-2-40-40-135-650-27_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:41
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 13.90 14.00 150,146 MAX VALUE 28,160.40 2.99 0.22 2.51
Relational linkage 0.10 0.53 0.25 0.25 405.55 0.00 -2,227.93 0.05 0.19 2.08
Tightness 0.62 0.69 0.65 0.65 88.08 0.00 -57.67 0.01 0.02 3.82
Tuples 495 602 556.10 556.00 75,073 MAX VALUE 853.25 18.32 0.03 3.82
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 1.25e+32 73.90 2.17 0.32 2.02
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: 12
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 3 20 9.36 8.00 234 1.03e+23 52.98 4.44 0.47 2.40
Cluster variables 3 16 8.04 8.00 201 4.52e+21 49.86 3.46 0.43 2.28
Separator constraints 0 12 3.96 3.00 99 0 None 3.46 0.87 2.11
Separator variables 0 14 6.44 6.00 161 0 None 3.32 0.52 2.28
Dual tree decomposition
Number of clusters: 38
Number of leaves: 13
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 13 142 57.53 52.00 2,186 MAX VALUE 147.38 33.51 0.58 3.49
Cluster variables 7 53 19.42 16.00 738 MAX VALUE 107.16 11.41 0.59 2.95
Separator constraints 0 87 34.63 30.50 1,316 0 None 20.35 0.59 3.40
Separator variables 0 38 15.87 13.50 603 0 None 8.72 0.55 2.93
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 1.00 0.20 0.16 7.94 0.00 None 0.16 0.81 2.82
Degree 2 11 6.75 7.00 270 1.25e+32 73.90 2.17 0.32 2.02
Eccentricity 3 4 3.20 3.00 128 1.21e+20 46.25 0.40 0.12 0.50
Triangulated primal graph
Density: 36.03%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.81 0.79 32.20 0.00 -9.53 0.16 0.20 2.75
Degree 2 27 14.05 11.50 562 MAX VALUE 95.71 8.62 0.61 2.83
Eccentricity 2 3 2.58 3.00 103 1.23e+16 37.05 0.49 0.19 0.68
Dual graph
Density: 9.62%
MCB compute time (ms): 341
MCB cycles: 884
Triangles: 1,810
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 0.81 0.51 0.49 68.46 0.00 -92.36 0.05 0.11 3.63
Degree 6 20 12.89 13.00 1,740 MAX VALUE 341.98 2.66 0.21 2.31
Eccentricity 3 4 3.40 3.00 459 MAX VALUE 163.85 0.49 0.14 0.67
MCB cycle size 3 5 3.28 3.00 2,896 MAX VALUE 1,038.46 0.55 0.17 0.65
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 162.86 0.67 0.20 1.01
Eccentricity 6 8 6.88 7.00 929 MAX VALUE 259.90 0.58 0.08 0.88
MCB cycle size 4 9 6.68 7.00 641 MAX VALUE 180.51 1.24 0.19 1.61
Triangulated dual graph
Density: 36.96%
Triangles: 52,098
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.81 0.79 109.46 0.00 -29.44 0.11 0.13 4.39
Degree 6 89 49.53 49.00 6,686 MAX VALUE 495.20 27.68 0.56 3.83
Eccentricity 2 3 2.61 3.00 352 MAX VALUE 126.82 0.49 0.19 0.67
Triangulated minimal dual graph
Density: 12.04%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.77 0.71 104.45 0.00 -37.63 0.16 0.21 3.10
Degree 2 50 16.13 6.00 2,178 MAX VALUE 297.79 16.57 1.03 2.96
Eccentricity 3 5 3.79 4.00 511 MAX VALUE 178.10 0.58 0.15 0.86
Incidence graph
Density: 1.77%
MCB compute time (ms): 65
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 167.48 2.25 0.73 0.97
Eccentricity 6 9 7.30 7.00 1,278 MAX VALUE 347.24 0.65 0.09 0.99
MCB cycle size 6 8 7.06 8.00 678 MAX VALUE 186.68 1.00 0.14 0.69