Instance: rand-2-40-180-84-900-42_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:25
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 84
General features
Number of coarse blocks: 30,240
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 168 1.93e+25 58.22 0.00 0.00 0.00
Coarse blocks size 4 39 18.02 18.00 544,902 MAX VALUE 86,648.80 4.01 0.22 2.80
Relational linkage 0.02 0.15 0.08 0.08 564.03 0.00 -18,490.90 0.02 0.20 2.46
Tightness 0.90 0.90 0.90 0.90 75.59 0.00 -8.86 0.00 0.00 4.20
Tuples 3,128 3,398 3,243.46 3,237.50 272,451 MAX VALUE 679.08 52.59 0.02 4.20
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 8 4.20 4.00 168 3.24e+23 54.13 1.69 0.40 1.79
Partitions per subscope 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Tree decomposition
Number of clusters: 29
Number of leaves: 15
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 9 4.07 3.00 118 1.79e+16 37.42 1.95 0.48 1.79
Cluster variables 3 12 5.41 5.00 157 1.25e+20 46.28 2.51 0.46 1.96
Separator constraints 0 5 1.17 1.00 34 0 None 1.51 1.29 1.44
Separator variables 0 10 4.03 3.00 117 0 None 2.31 0.57 1.96
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 4 45 18.11 12.00 688 MAX VALUE 99.87 12.84 0.71 2.88
Cluster variables 4 26 10.47 8.00 398 2.68e+36 83.88 5.93 0.57 2.65
Separator constraints 0 27 9.53 6.00 362 0 None 8.02 0.84 2.63
Separator variables 0 19 8.26 7.00 314 0 None 4.63 0.56 2.58
Primal graph
Density: 10.77%
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 0.10 0.04 4.19 0.00 None 0.18 1.69 1.83
Degree 2 8 4.20 4.00 168 3.24e+23 54.13 1.69 0.40 1.79
Eccentricity 3 5 4.03 4.00 161 1.17e+24 55.42 0.47 0.12 0.69
Triangulated primal graph
Density: 23.46%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.42 1.00 0.77 0.69 30.65 0.00 -11.88 0.19 0.25 2.60
Degree 2 24 9.15 6.00 366 7.57e+32 75.71 6.71 0.73 2.53
Eccentricity 2 4 3.35 3.00 134 6.07e+20 47.85 0.53 0.16 0.77
Dual graph
Density: 9.35%
MCB compute time (ms): 33
MCB cycles: 253
Triangles: 408
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 0.75 0.50 0.47 41.77 0.00 -59.95 0.09 0.18 2.99
Degree 3 13 7.76 8.00 652 MAX VALUE 167.63 2.37 0.31 2.24
Eccentricity 4 5 4.26 4.00 358 MAX VALUE 121.36 0.44 0.10 0.58
MCB cycle size 3 6 3.24 3.00 819 MAX VALUE 293.97 0.58 0.18 0.58
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 10
MCB cycles: 45
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 4 3.05 3.00 256 MAX VALUE 91.55 0.65 0.21 0.98
Eccentricity 6 8 6.94 7.00 583 MAX VALUE 162.34 0.68 0.10 1.01
MCB cycle size 4 10 6.78 7.00 305 8.93e+36 85.08 1.43 0.21 1.72
Triangulated dual graph
Density: 28.86%
Triangles: 7,395
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.78 0.77 65.59 0.00 -21.84 0.13 0.16 3.86
Degree 3 50 23.95 21.50 2,012 MAX VALUE 243.36 14.98 0.63 3.36
Eccentricity 2 4 3.29 3.00 276 MAX VALUE 98.95 0.50 0.15 0.72
Triangulated minimal dual graph
Density: 11.39%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.73 0.67 61.58 0.00 -29.49 0.21 0.28 2.78
Degree 2 28 9.45 5.00 794 MAX VALUE 154.80 8.54 0.90 2.71
Eccentricity 3 5 4.14 4.00 348 MAX VALUE 118.42 0.62 0.15 0.93
Incidence graph
Density: 2.20%
MCB compute time (ms): 16
MCB cycles: 45
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 8 2.71 2.00 336 MAX VALUE 112.36 1.41 0.52 1.03
Eccentricity 7 11 8.81 9.00 1,093 MAX VALUE 269.28 0.86 0.10 1.25
MCB cycle size 6 12 8.22 8.00 370 MAX VALUE 94.00 1.53 0.19 1.13