pezkuwi-subxt/substrate/frame/sassafras/src/data/tickets-sort.md

Segments Incremental Sorting Strategy Empirical Results

Parameters:

• 128 segments
• segment max length 128
• 32767 random tickets ids
• epoch length 3600 (== max tickets to keep)

The table shows the comparison between the segments left in the unsorted segments buffer and the number of new tickets which are added from the last segment to the sorted tickets buffer (i.e. how many tickets we retain from the last processed segment)

Segments Left	Tickets Pushed
255	128
254	128
253	128
252	128
251	128
250	128
249	128
248	128
247	128
246	128
245	128
244	128
243	128
242	128
241	128
240	128
239	128
238	128
237	128
236	128
235	128
234	128
233	128
232	128
231	128
230	128
229	128
228	128
227	128
226	126
225	117
224	120
223	110
222	110
221	102
220	107
219	96
218	105
217	92
216	91
215	85
214	84
213	88
212	77
211	86
210	73
209	73
208	81
207	83
206	70
205	84
204	71
203	63
202	60
201	53
200	73
199	55
198	65
197	62
196	55
195	63
194	61
193	48
192	67
191	61
190	55
189	49
188	60
187	49
186	51
185	53
184	47
183	51
182	51
181	53
180	42
179	43
178	48
177	46
176	39
175	54
174	39
173	44
172	51
171	49
170	48
169	48
168	41
167	39
166	41
165	40
164	43
163	53
162	51
161	36
160	45
159	40
158	29
157	37
156	31
155	38
154	31
153	38
152	39
151	30
150	37
149	42
148	35
147	33
146	35
145	37
144	38
143	31
142	38
141	38
140	27
139	31
138	25
137	31
136	26
135	30
134	31
133	37
132	29
131	24
130	31
129	34
128	31
127	28
126	28
125	19
124	27
123	29
122	36
121	32
120	29
119	28
118	33
117	18
116	28
115	27
114	28
113	21
112	23
111	19
110	21
109	20
108	26
107	23
106	30
105	31
104	19
103	25
102	23
101	29
100	18
99	19
98	20
97	21
96	23
95	20
94	27
93	20
92	22
91	23
90	23
89	20
88	15
87	17
86	28
85	25
84	10
83	20
82	23
81	28
80	17
79	23
78	24
77	22
76	18
75	25
74	31
73	27
72	19
71	13
70	17
69	24
68	20
67	12
66	17
65	16
64	26
63	24
62	12
61	19
60	18
59	20
58	18
57	12
56	15
55	17
54	14
53	25
52	22
51	15
50	17
49	15
48	17
47	18
46	17
45	23
44	17
43	13
42	15
41	18
40	11
39	19
38	18
37	12
36	19
35	18
34	15
33	12
32	25
31	20
30	24
29	20
28	10
27	15
26	16
25	15
24	15
23	13
22	12
21	14
20	19
19	17
18	17
17	18
16	15
15	13
14	11
13	16
12	13
11	18
10	19
9	10
8	7
7	15
6	12
5	12
4	17
3	14
2	17
1	9
0	13

Graph of the same data