Instance: rand-2-40-40-135-650-90_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:47
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 13.96 14.00 150,790 MAX VALUE 28,210.10 2.99 0.21 2.51
Relational linkage 0.07 0.45 0.25 0.25 407.15 0.00 -2,219.42 0.05 0.19 2.05
Tightness 0.61 0.69 0.65 0.65 87.88 0.00 -57.98 0.01 0.02 3.98
Tuples 501 621 558.48 559.00 75,395 MAX VALUE 853.83 19.17 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 2.03 0.30 2.06
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: 11
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 3 27 10.67 7.50 256 3.38e+22 51.87 6.95 0.65 2.54
Cluster variables 3 17 8.88 8.50 213 3.32e+21 49.55 4.35 0.49 2.25
Separator constraints 0 20 5.04 2.50 121 0 None 5.97 1.18 2.14
Separator variables 0 16 7.21 6.50 173 0 None 4.28 0.59 2.35
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 13 136 58.95 51.00 2,240 MAX VALUE 148.42 33.55 0.57 3.26
Cluster variables 7 54 19.76 16.00 751 MAX VALUE 107.76 11.73 0.59 2.81
Separator constraints 0 73 36.34 30.50 1,381 0 None 20.49 0.56 3.38
Separator variables 0 42 16.21 13.50 616 0 None 8.96 0.55 2.86
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 0.18 0.14 7.16 0.00 None 0.16 0.88 2.98
Degree 2 11 6.75 7.00 270 1.52e+32 74.10 2.03 0.30 2.06
Eccentricity 3 4 3.15 3.00 126 6.83e+19 45.67 0.36 0.11 0.42
Triangulated primal graph
Density: 39.62%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.61 1.00 0.81 0.75 32.35 0.00 -9.01 0.13 0.16 2.96
Degree 2 27 15.45 17.00 618 MAX VALUE 99.79 8.86 0.57 2.62
Eccentricity 2 4 2.85 3.00 114 6.66e+17 41.04 0.57 0.20 0.86
Dual graph
Density: 9.50%
MCB compute time (ms): 353
MCB cycles: 809
Triangles: 1,733
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 0.76 0.50 0.49 67.25 0.00 -94.63 0.05 0.10 3.52
Degree 6 18 12.73 13.00 1,718 MAX VALUE 340.17 2.65 0.21 2.35
Eccentricity 3 4 3.44 3.00 465 MAX VALUE 165.57 0.50 0.14 0.69
MCB cycle size 3 5 3.18 3.00 2,574 MAX VALUE 930.36 0.42 0.13 0.50
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 54
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.43 0.00 None 0.02 6.79 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 163.16 0.64 0.19 0.95
Eccentricity 6 9 6.84 7.00 924 MAX VALUE 259.12 0.62 0.09 0.91
MCB cycle size 3 9 6.80 7.00 653 MAX VALUE 182.61 1.11 0.16 1.45
Triangulated dual graph
Density: 38.11%
Triangles: 55,374
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.64 1.00 0.81 0.78 109.64 0.00 -29.18 0.10 0.13 4.28
Degree 6 88 51.07 46.00 6,894 MAX VALUE 499.66 28.20 0.55 3.53
Eccentricity 2 3 2.47 2.00 334 MAX VALUE 119.53 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.44%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.79 0.74 106.55 0.00 -35.07 0.17 0.21 3.02
Degree 2 52 16.67 7.00 2,250 MAX VALUE 298.82 17.24 1.03 2.91
Eccentricity 3 4 3.59 4.00 484 MAX VALUE 171.04 0.49 0.14 0.68
Incidence graph
Density: 1.77%
MCB compute time (ms): 68
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 167.68 2.22 0.72 0.98
Eccentricity 6 8 7.30 7.00 1,277 MAX VALUE 347.19 0.61 0.08 0.90
MCB cycle size 6 10 7.12 8.00 684 MAX VALUE 187.48 1.03 0.15 0.74