Instance: rand-2-40-40-135-650-65_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:45
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 26 13.95 14.00 150,630 MAX VALUE 28,195.10 3.01 0.22 2.52
Relational linkage 0.10 0.45 0.25 0.25 405.90 0.00 -2,223.72 0.05 0.19 2.04
Tightness 0.63 0.69 0.65 0.65 87.93 0.00 -57.90 0.01 0.02 3.99
Tuples 503 599 557.89 558.00 75,315 MAX VALUE 853.68 18.99 0.03 3.99
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 12 6.75 6.50 270 1.84e+32 74.29 2.07 0.31 1.98
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: 13
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 22 11.28 9.00 282 3.89e+24 56.62 5.91 0.52 2.59
Cluster variables 3 15 8.88 8.00 222 5.09e+22 52.28 3.79 0.43 2.05
Separator constraints 0 18 5.88 3.00 147 0 None 5.70 0.97 2.27
Separator variables 0 14 7.28 6.00 182 0 None 3.81 0.52 2.16
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 7 170 61.50 50.50 2,337 MAX VALUE 147.93 41.30 0.67 3.46
Cluster variables 5 58 20.32 15.50 772 MAX VALUE 108.00 12.93 0.64 3.03
Separator constraints 0 102 38.82 31.50 1,475 0 None 25.78 0.66 3.19
Separator variables 0 45 16.76 13.50 637 0 None 9.96 0.59 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 0.40 0.15 0.14 5.93 0.00 None 0.09 0.60 2.84
Degree 2 12 6.75 6.50 270 1.84e+32 74.29 2.07 0.31 1.98
Eccentricity 3 4 3.15 3.00 126 6.83e+19 45.67 0.36 0.11 0.42
Triangulated primal graph
Density: 38.59%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.81 0.79 32.30 0.00 -9.35 0.16 0.20 2.82
Degree 2 29 15.05 15.50 602 MAX VALUE 99.26 8.77 0.58 2.91
Eccentricity 2 3 2.60 3.00 104 1.85e+16 37.46 0.49 0.19 0.67
Dual graph
Density: 9.53%
MCB compute time (ms): 455
MCB cycles: 785
Triangles: 1,776
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 0.75 0.50 0.49 67.62 0.00 -93.78 0.04 0.09 3.70
Degree 4 20 12.77 13.00 1,724 MAX VALUE 340.60 2.67 0.21 2.31
Eccentricity 3 4 3.41 3.00 460 MAX VALUE 164.13 0.49 0.14 0.68
MCB cycle size 3 5 3.16 3.00 2,478 MAX VALUE 897.15 0.40 0.13 0.46
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 64
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.83 0.00 None 0.04 6.90 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.94 0.65 0.19 0.98
Eccentricity 5 7 6.55 7.00 884 MAX VALUE 253.27 0.51 0.08 0.72
MCB cycle size 3 9 6.80 7.00 653 MAX VALUE 182.69 1.07 0.16 1.42
Triangulated dual graph
Density: 41.17%
Triangles: 65,821
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.82 0.80 111.02 0.00 -27.25 0.09 0.11 4.44
Degree 4 91 55.17 68.00 7,448 MAX VALUE 509.26 29.76 0.54 3.88
Eccentricity 2 4 2.73 3.00 368 MAX VALUE 133.07 0.48 0.18 0.67
Triangulated minimal dual graph
Density: 12.24%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.78 0.71 105.24 0.00 -36.61 0.16 0.21 3.22
Degree 2 49 16.40 7.00 2,214 MAX VALUE 298.75 16.86 1.03 2.99
Eccentricity 3 5 3.77 4.00 509 MAX VALUE 177.65 0.56 0.15 0.83
Incidence graph
Density: 1.77%
MCB compute time (ms): 71
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 12 3.09 2.00 540 MAX VALUE 167.87 2.23 0.72 0.96
Eccentricity 6 8 7.30 7.00 1,278 MAX VALUE 347.45 0.55 0.08 0.81
MCB cycle size 6 10 7.19 8.00 690 MAX VALUE 188.34 1.02 0.14 0.73