XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-15-ext
Number of variables: 50
Number of constraints: 469
Satisfiable: True
Timestamp: 2025-07-27 21:34:16
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 50
Number of constraints: 469

General features

Coarse blocks: 21,574
Value tables: 50

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Arity 2 2 2.00 2.00 938 MAX VALUE 325.09 0.00 0.00 0.00

Coarse blocks size 2 23 16.75 17.00 361,334 MAX VALUE 60,426.40 2.86 0.17 2.41

Relational linkage 0.09 0.70 0.45 0.48 521.57 0.00 -942.04 0.10 0.22 2.21

Tightness 0.23 0.66 0.27 0.23 127.47 0.00 -629.05 0.09 0.32 1.18

Tuples 181 408 385.22 408.00 180,667 MAX VALUE 2,788.33 45.62 0.12 1.18

Values 23 23 23.00 23.00 1,150 MAX VALUE 156.78 0.00 0.00 0.00

Value table constraints 12 28 18.76 19.00 938 MAX VALUE 145.70 3.54 0.19 2.50

Value table partitions 23 23 23.00 23.00 1,150 MAX VALUE 156.78 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	2	2	2.00	2.00	938	MAX VALUE	325.09	0.00	0.00	0.00
Coarse blocks size	2	23	16.75	17.00	361,334	MAX VALUE	60,426.40	2.86	0.17	2.41
Relational linkage	0.09	0.70	0.45	0.48	521.57	0.00	-942.04	0.10	0.22	2.21
Tightness	0.23	0.66	0.27	0.23	127.47	0.00	-629.05	0.09	0.32	1.18
Tuples	181	408	385.22	408.00	180,667	MAX VALUE	2,788.33	45.62	0.12	1.18
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	12	28	18.76	19.00	938	MAX VALUE	145.70	3.54	0.19	2.50
Value table partitions	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00

Tree decomposition

Number of clusters: 17
Number of leaves: 9
Tree depth: 4
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/Tree1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 43 226 113.41 71.00 1,928 4.03e+33 77.38 67.82 0.60 2.75

Variables per cluster 13 34 22.18 18.00 377 2.76e+22 51.67 7.69 0.35 2.34

Separator constraints 0 199 85.82 53.00 1,459 0 None 64.61 0.75 2.75

Separator variables 0 32 19.24 16.00 327 0 None 8.58 0.45 2.34

Clusters per var 1 15 7.54 8.00 377 2.81e+37 86.23 4.22 0.56 2.38

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	43	226	113.41	71.00	1,928	4.03e+33	77.38	67.82	0.60	2.75
Variables per cluster	13	34	22.18	18.00	377	2.76e+22	51.67	7.69	0.35	2.34
Separator constraints	0	199	85.82	53.00	1,459	0	None	64.61	0.75	2.75
Separator variables	0	32	19.24	16.00	327	0	None	8.58	0.45	2.34
Clusters per var	1	15	7.54	8.00	377	2.81e+37	86.23	4.22	0.56	2.38

Dual tree decomposition

Number of clusters: 48
Number of leaves: 23
Tree depth: 5
CIR: 0.08
Independent Cluster Pairs: 87
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/DualTree1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 174 2,576 686.92 490.50 32,972 MAX VALUE 301.59 554.29 0.81 3.78

Variables per cluster 26 247 71.25 49.50 3,420 MAX VALUE 194.63 54.12 0.76 3.49

Separator constraints 0 1,481 506.88 419.00 24,330 0 None 323.28 0.64 3.81

Separator variables 0 195 61.48 45.50 2,951 0 None 41.15 0.67 3.49

Clusters per variable 1 11 7.29 8.00 3,420 MAX VALUE 881.10 2.51 0.34 2.04

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	174	2,576	686.92	490.50	32,972	MAX VALUE	301.59	554.29	0.81	3.78
Variables per cluster	26	247	71.25	49.50	3,420	MAX VALUE	194.63	54.12	0.76	3.49
Separator constraints	0	1,481	506.88	419.00	24,330	0	None	323.28	0.64	3.81
Separator variables	0	195	61.48	45.50	2,951	0	None	41.15	0.67	3.49
Clusters per variable	1	11	7.29	8.00	3,420	MAX VALUE	881.10	2.51	0.34	2.04

Primal graph

Density: 38.29%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,139
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/Primal1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.33 0.47 0.40 0.40 19.94 0.00 -46.16 0.03 0.09 3.69

Degree 12 28 18.76 19.00 938 MAX VALUE 145.70 3.54 0.19 2.50

Eccentricity 2 2 2.00 2.00 100 1.13e+15 34.66 0.00 0.00 0.00

MCB cycle size None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.33	0.47	0.40	0.40	19.94	0.00	-46.16	0.03	0.09	3.69
Degree	12	28	18.76	19.00	938	MAX VALUE	145.70	3.54	0.19	2.50
Eccentricity	2	2	2.00	2.00	100	1.13e+15	34.66	0.00	0.00	0.00
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated primal graph

Density: 72.49%
MCB compute time (ms): None
MCB cycles: None
Triangles: 9,591

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.75 1.00 0.89 0.87 44.33 0.00 -6.17 0.07 0.08 3.49

Degree 12 47 35.52 40.00 1,776 MAX VALUE 174.98 10.93 0.31 2.72

Eccentricity 2 2 2.00 2.00 100 1.13e+15 34.66 0.00 0.00 0.00

MCB cycle size None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.75	1.00	0.89	0.87	44.33	0.00	-6.17	0.07	0.08	3.49
Degree	12	47	35.52	40.00	1,776	MAX VALUE	174.98	10.93	0.31	2.72
Eccentricity	2	2	2.00	2.00	100	1.13e+15	34.66	0.00	0.00	0.00
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 7.87%
MCB compute time (ms): 12,353
MCB cycles: 10,615
Triangles: 53,381
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/Dual1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.49 0.58 0.51 0.50 237.66 0.00 -318.98 0.01 0.03 5.17

Degree 25 53 36.85 37.00 17,284 MAX VALUE 1,687.31 5.03 0.14 3.00

Eccentricity 3 3 3.00 3.00 1,407 MAX VALUE 515.25 0.00 0.00 0.00

MCB cycle size 3 4 3.07 3.00 32,571 MAX VALUE 11,870.60 0.25 0.08 0.25

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.58	0.51	0.50	237.66	0.00	-318.98	0.01	0.03	5.17
Degree	25	53	36.85	37.00	17,284	MAX VALUE	1,687.31	5.03	0.14	3.00
Eccentricity	3	3	3.00	3.00	1,407	MAX VALUE	515.25	0.00	0.00	0.00
MCB cycle size	3	4	3.07	3.00	32,571	MAX VALUE	11,870.60	0.25	0.08	0.25

Minimal dual graph

Density: 0.81%
MCB compute time (ms): 2,470
MCB cycles: 420

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 6 3.79 4.00 1,776 MAX VALUE 611.91 0.90 0.24 1.22

Eccentricity 6 9 7.92 8.00 3,716 MAX VALUE 969.29 0.62 0.08 0.94

MCB cycle size 4 9 6.90 7.00 2,900 MAX VALUE 805.22 1.13 0.16 1.50

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	6	3.79	4.00	1,776	MAX VALUE	611.91	0.90	0.24	1.22
Eccentricity	6	9	7.92	8.00	3,716	MAX VALUE	969.29	0.62	0.08	0.94
MCB cycle size	4	9	6.90	7.00	2,900	MAX VALUE	805.22	1.13	0.16	1.50

Triangulated dual graph

Density: None%
Triangles: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient None None None None None None None None None None

Degree None None None None None None None None None None

Eccentricity None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	None	None	None	None	None	None	None	None	None	None
Degree	None	None	None	None	None	None	None	None	None	None
Eccentricity	None	None	None	None	None	None	None	None	None	None

Triangulated minimal dual graph

Density: 9.79%

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.53 1.00 0.83 0.80 390.75 0.00 -91.88 0.13 0.16 3.81

Degree 2 156 45.82 8.00 21,490 MAX VALUE 1,272.68 58.88 1.28 3.49

Eccentricity 3 5 3.74 4.00 1,753 MAX VALUE 613.75 0.51 0.14 0.74

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.53	1.00	0.83	0.80	390.75	0.00	-91.88	0.13	0.16	3.81
Degree	2	156	45.82	8.00	21,490	MAX VALUE	1,272.68	58.88	1.28	3.49
Eccentricity	3	5	3.74	4.00	1,753	MAX VALUE	613.75	0.51	0.14	0.74

Incidence graph

Density: 0.70%
MCB compute time (ms): 925
MCB cycles: 420
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-15-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 28 3.61 2.00 1,876 MAX VALUE 470.79 5.07 1.40 0.56

Eccentricity 5 6 5.90 6.00 3,064 MAX VALUE 920.81 0.30 0.05 0.32

MCB cycle size 6 6 6.00 6.00 2,520 MAX VALUE 752.54 0.00 0.00 0.00

XCSP 2.1 Benchmarks