XCSP 2.1 Benchmarks

Coarse blocks: 246,916
Value tables: 565

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	7	7	7.00	7.00	392	MAX VALUE	108.97	0.00	0.00	0.00
Coarse blocks size	1	11,855	302.88	71.00	74,786,700	MAX VALUE	1,125,430.00	777.12	2.57	5.72
Relational linkage	0.01	1.00	0.44	0.46	49,219.80	0.00	-97,193.00	0.11	0.26	4.83
Tightness	0.37	0.58	0.48	0.48	27.12	0.00	-40.76	0.04	0.07	4.03
Tuples	32,647	49,483	40,290.70	40,387.00	2,256,280	MAX VALUE	593.69	2,735.71	0.07	4.03
Values	5	5	5.00	5.00	125	2.98e+17	40.24	0.00	0.00	0.00
Value table constraints	2	22	3.28	2.00	1,856	MAX VALUE	576.43	2.74	0.84	1.43
Value table partitions	5	3,125	200.39	125.00	113,220	MAX VALUE	2,486.58	403.21	2.01	1.22

Number of clusters: 3
Number of leaves: 2
Tree depth: 1
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/Tree1.json

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	31	36	32.67	31.00	98	34,596	10.45	2.36	0.07	0.64
Variables per cluster	23	23	23.00	23.00	69	12,167	9.41	0.00	0.00	0.00
Separator constraints	0	21	14.00	21.00	42	0	None	9.90	0.71	0.64
Separator variables	0	22	14.67	22.00	44	0	None	10.37	0.71	0.64
Clusters per var	1	3	2.76	3.00	69	4.18e+10	24.46	0.59	0.21	0.55

Number of clusters: 4
Number of leaves: 2
Tree depth: 2
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/DualTree1.json

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,116	1,307	1,235.25	1,259.00	4,941	2.31e+12	28.47	78.63	0.06	1.39
Variables per cluster	49	53	51.50	52.00	206	7,019,690	15.76	1.66	0.03	1.04
Separator constraints	0	1,257	872.00	1,115.50	3,488	0	None	507.87	0.58	1.39
Separator variables	0	52	37.50	49.00	150	0	None	21.70	0.58	1.39
Clusters per variable	1	4	3.68	4.00	206	8.12e+30	71.17	0.71	0.19	0.71

Density: 98.33%
MCB compute time (ms): 5
MCB cycles: 309
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/Primal1.json

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.98	0.99	0.98	0.98	24.59	0.66	-0.42	0.00	0.00	0.96
Degree	22	24	23.60	24.00	590	2.08e+34	79.02	0.63	0.03	0.81
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	3	3.00	3.00	927	MAX VALUE	339.47	0.00	0.00	0.00

Density: 99.00%
MCB compute time (ms): 5
MCB cycles: 311
Triangles: None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	24.76	0.79	-0.24	0.00	0.00	0.55
Degree	22	24	23.76	24.00	594	2.47e+34	79.19	0.59	0.02	0.55
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	3	3.00	3.00	933	MAX VALUE	341.67	0.00	0.00	0.00

Density: 94.35%
MCB compute time (ms): 57
MCB cycles: 1,398
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/Dual1.json

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.94	0.95	0.94	0.94	52.86	0.04	-3.23	0.00	0.00	3.56
Degree	48	55	51.89	52.00	2,906	MAX VALUE	221.12	1.79	0.03	1.87
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	3	3.00	3.00	4,194	MAX VALUE	1,535.86	0.00	0.00	0.00

Density: 22.14%
MCB compute time (ms): 14
MCB cycles: 310

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.17	0.35	0.25	0.25	14.15	0.00	-77.72	0.04	0.15	3.44
Degree	9	16	12.18	12.00	682	MAX VALUE	139.53	1.55	0.13	1.83
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	4	3.14	3.00	973	MAX VALUE	352.94	0.35	0.11	0.40

Density: 99.22%
Triangles: 27,105

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	55.61	0.67	-0.40	0.00	0.00	0.82
Degree	48	55	54.57	55.00	3,056	MAX VALUE	223.96	1.19	0.02	0.73
Eccentricity	None	None	None	None	None	None	None	None	None	None

Density: 60.45%

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.67	1.00	0.86	0.84	48.38	0.00	-8.51	0.09	0.11	3.42
Degree	9	50	33.25	41.00	1,862	MAX VALUE	188.94	13.61	0.41	2.93
Eccentricity	None	None	None	None	None	None	None	None	None	None

Density: 12.10%
MCB compute time (ms): 21
MCB cycles: 314
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-12/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	7	22	9.68	7.00	784	MAX VALUE	177.26	4.38	0.45	1.32
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	4	4	4.00	4.00	1,256	MAX VALUE	435.30	0.00	0.00	0.00