Instance: rand-2-40-40-135-650-56_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:48
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 28 13.96 14.00 150,724 MAX VALUE 28,199.90 3.02 0.22 2.52
Relational linkage 0.07 0.40 0.25 0.25 406.80 0.00 -2,222.34 0.05 0.19 2.09
Tightness 0.63 0.68 0.65 0.65 87.90 0.00 -57.95 0.01 0.02 3.87
Tuples 508 599 558.24 558.00 75,362 MAX VALUE 853.78 17.18 0.03 3.87
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 15 6.75 6.00 270 4.87e+31 72.96 2.77 0.41 2.19
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 2 34 12.64 8.00 316 2.28e+24 56.09 9.80 0.78 2.44
Cluster variables 3 16 8.20 7.00 205 4.78e+21 49.92 3.86 0.47 2.01
Separator constraints 0 29 7.24 2.00 181 0 None 8.68 1.20 2.38
Separator variables 0 14 6.60 5.00 165 0 None 3.76 0.57 2.01
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 4 227 67.61 52.00 2,569 MAX VALUE 146.79 55.93 0.83 3.44
Cluster variables 4 61 20.21 16.00 768 MAX VALUE 106.81 13.74 0.68 3.11
Separator constraints 0 123 43.13 28.00 1,639 0 None 35.16 0.82 3.44
Separator variables 0 47 16.66 13.50 633 0 None 10.66 0.64 2.98
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 0.18 0.17 7.14 0.00 None 0.10 0.54 2.84
Degree 2 15 6.75 6.00 270 4.87e+31 72.96 2.77 0.41 2.19
Eccentricity 3 4 3.20 3.00 128 1.21e+20 46.25 0.40 0.12 0.50
Triangulated primal graph
Density: 36.54%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.80 0.75 32.10 0.00 -9.48 0.15 0.18 2.84
Degree 2 27 14.25 12.50 570 MAX VALUE 96.08 8.60 0.60 2.51
Eccentricity 2 3 2.60 3.00 104 1.85e+16 37.46 0.49 0.19 0.67
Dual graph
Density: 10.28%
MCB compute time (ms): 231
MCB cycles: 918
Triangles: 2,274
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 0.73 0.52 0.50 70.18 0.00 -89.25 0.06 0.12 4.07
Degree 3 25 13.78 13.00 1,860 MAX VALUE 347.65 4.09 0.30 2.76
Eccentricity 3 4 3.30 3.00 445 MAX VALUE 159.82 0.46 0.14 0.61
MCB cycle size 3 5 3.20 3.00 2,934 MAX VALUE 1,058.95 0.45 0.14 0.53
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 0.00 0.00 0.67 0.00 None 0.03 7.04 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.09 0.74 0.22 1.12
Eccentricity 5 8 6.73 7.00 908 MAX VALUE 256.84 0.55 0.08 0.82
MCB cycle size 3 9 6.67 7.00 640 MAX VALUE 180.63 1.11 0.17 1.48
Triangulated dual graph
Density: 42.54%
Triangles: 71,703
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.83 0.81 111.99 0.00 -25.94 0.09 0.10 4.44
Degree 3 93 57.01 73.00 7,696 MAX VALUE 512.16 30.73 0.54 3.76
Eccentricity 2 3 2.55 3.00 344 MAX VALUE 123.58 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.07%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.78 0.70 105.94 0.00 -35.94 0.17 0.22 3.10
Degree 2 50 16.18 7.00 2,184 MAX VALUE 293.20 16.87 1.04 2.92
Eccentricity 3 4 3.55 4.00 479 MAX VALUE 169.60 0.50 0.14 0.69
Incidence graph
Density: 1.77%
MCB compute time (ms): 69
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 15 3.09 2.00 540 MAX VALUE 166.54 2.39 0.78 1.00
Eccentricity 6 9 7.20 7.00 1,260 MAX VALUE 344.83 0.61 0.09 0.93
MCB cycle size 6 8 6.90 6.00 662 MAX VALUE 184.38 0.99 0.14 0.69