Instance: normalized-rand-2-40-40-135-650-16-ext
Number of variables: 40
Number of constraints: 135
Satisfiable: True
Timestamp: 2025-07-20 22:09:32
Stampede: v1.1.0-239-ge51ee236
Boost: 1.75.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Coarse blocks: 10,800
Value tables: 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 25 14.02 14.00 151,372 MAX VALUE 28,240.70 3.06 0.22 2.54
Relational linkage 0.07 0.47 0.26 0.25 408.77 0.00 -2,216.86 0.05 0.20 2.12
Tightness 0.62 0.68 0.65 0.65 87.70 0.00 -58.26 0.01 0.02 4.00
Tuples 507 608 560.64 561.00 75,686 MAX VALUE 854.34 20.38 0.04 4.00
Values 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Value table constraints 2 11 6.75 7.00 270 6.16e+31 73.20 2.35 0.35 2.07
Value table partitions 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 23
Number of leaves: 11
Tree depth: 5
CIR: 0.25
Independent Cluster Pairs: 58
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Tree1.json
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 2 36 13.09 11.00 301 1.80e+22 51.24 10.19 0.78 2.67
Variables per cluster 3 18 8.96 7.00 206 2.69e+20 47.04 4.70 0.53 2.37
Separator constraints 0 31 7.22 2.00 166 0 None 9.11 1.26 2.20
Separator variables 0 17 7.22 6.00 166 0 None 4.56 0.63 2.43
Clusters per var 1 12 5.15 4.50 206 3.41e+21 49.58 3.82 0.74 2.10
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
Tree depth: 5
CIR: 0.27
Independent Cluster Pairs: 179
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/DualTree1.json
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 13 164 63.03 54.50 2,395 MAX VALUE 149.05 40.80 0.65 3.49
Variables per cluster 7 58 20.24 16.00 769 MAX VALUE 108.06 12.46 0.62 3.07
Separator constraints 0 99 39.68 38.50 1,508 0 None 24.79 0.62 3.37
Separator variables 0 42 16.68 14.00 634 0 None 9.49 0.57 3.09
Clusters per variable 1 10 5.70 6.00 769 MAX VALUE 209.15 2.78 0.49 2.19
Primal graph
Density: 17.31%
MCB compute time (ms): 3
MCB cycles: 102
Triangles: 46
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Primal1.json
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 1.00 0.15 0.14 5.98 0.00 None 0.16 1.09 2.81
Degree 2 11 6.75 7.00 270 6.16e+31 73.20 2.35 0.35 2.07
Eccentricity None None None None None None None None None None
MCB cycle size 3 5 3.60 4.00 367 MAX VALUE 129.41 0.55 0.15 0.80
Triangulated primal graph
Density: 40.90%
MCB compute time (ms): 5
MCB cycles: 292
Triangles: 1,571
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.83 0.78 33.19 0.00 -7.98 0.13 0.16 2.82
Degree 2 28 15.95 19.00 638 MAX VALUE 99.78 9.31 0.58 2.80
Eccentricity None None None None None None None None None None
MCB cycle size 3 3 3.00 3.00 876 MAX VALUE 320.80 0.00 0.00 0.00
Dual graph
Density: 9.81%
MCB compute time (ms): 85
MCB cycles: 1,192
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Dual1.json
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 0.82 0.50 0.49 68.07 0.00 -93.39 0.07 0.13 3.77
Degree 6 20 13.14 13.00 1,774 MAX VALUE 343.84 2.99 0.23 2.43
Eccentricity None None None None None None None None None None
MCB cycle size 3 6 3.57 3.00 4,250 MAX VALUE 1,491.45 0.75 0.21 0.96
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 38
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 162.92 0.66 0.19 0.99
Eccentricity None None None None None None None None None None
MCB cycle size 4 9 6.97 7.00 669 MAX VALUE 184.71 1.21 0.17 1.48
Triangulated dual graph
Density: 40.52%
Triangles: 62,281
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.79 110.32 0.00 -28.27 0.10 0.12 4.36
Degree 6 90 54.30 56.00 7,330 MAX VALUE 508.97 28.83 0.53 3.63
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 12.19%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.79 0.72 106.18 0.00 -35.48 0.17 0.21 3.02
Degree 2 51 16.34 6.00 2,206 MAX VALUE 296.30 16.98 1.04 2.91
Eccentricity None None None None None None None None None None
Incidence graph
Density: 1.77%
MCB compute time (ms): 26
MCB cycles: 96
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-16-ext/Incidence1.json
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 166.77 2.29 0.74 0.93
Eccentricity None None None None None None None None None None
MCB cycle size 6 10 7.12 8.00 684 MAX VALUE 187.41 1.07 0.15 0.78