Research-Stack/shared-data/artifacts/hash_benchmark.csv at 71097f5c843da2ddaf5155cf5c85963815aacab2

mirror of https://github.com/allaunthefox/Research-Stack.git synced 2026-07-31 03:05:21 +00:00

Brandon Schneider 3dace5fe73 feat: O_AMMR_valid strengthened + hash benchmark complete

NS_MD.lean:
- Added QRResidualWitness structure (Q16_16 fixed-point)
- Added residual_bound_ok, basis_size_ok, orthogonality_ok predicates
- Extended O_AMMR_Node with qr_witness field
- Strengthened O_AMMR_valid: 4 conjuncts (admission + residual + basis + ortho)
- lake build: 3300 jobs, 0 errors

hash_benchmark.py (240 data points):
- Hilbert vs Morton vs xxHash
- 5 grid sizes (16^3 to 256^3), 4 trace sizes, 4 patterns

Key findings:
  Morton: 86.5% cache hit rate, 1.08µs p50, 0.512 locality
  xxHash: 30.3% cache hit rate, 0.96µs p50, 0.342 locality
  Hilbert: 27.6% cache hit rate, 2.29µs p50, 0.833 locality

Morton wins overall for spatial hash grids.

2026-05-30 15:15:33 -05:00

15 KiB

Raw Blame History

1	grid_size	trace_size	trace_pattern	hash_function	cache_hit_rate	p50_latency_us	p99_latency_us	memory_bandwidth_mbs	locality_preservation
2	16	1000	sequential	hilbert	0.0	1.82	6.57	6.17	0.716469
3	16	1000	sequential	morton	0.936	0.819	2.19	13.78	0.0
4	16	1000	sequential	xxhash	0.112	0.97	2.9	11.53	0.008407
5	16	1000	random	hilbert	0.112	1.9	4.92	6.03	0.71932
6	16	1000	random	morton	0.936	0.86	1.61	13.25	0.147023
7	16	1000	random	xxhash	0.197	0.75	2.84	12.77	0.150668
8	16	1000	spatial_locality	hilbert	0.147	1.87	5.38	6.2	0.741935
9	16	1000	spatial_locality	morton	0.936	0.85	3.54	11.73	0.167155
10	16	1000	spatial_locality	xxhash	0.221	0.95	2.92	11.67	0.172043
11	16	1000	temporal_locality	hilbert	0.72	1.03	2.34	10.81	0.955639
12	16	1000	temporal_locality	morton	0.937	0.87	2.12	12.26	0.902658
13	16	1000	temporal_locality	xxhash	0.728	0.47	1.54	20.39	0.902658
14	16	10000	sequential	hilbert	0.5904	1.29	2.85	8.09	0.745367
15	16	10000	sequential	morton	0.9936	0.59	1.67	18.06	0.253674
16	16	10000	sequential	xxhash	0.7385	0.979	2.02	11.81	0.115335
17	16	10000	random	hilbert	0.6255	1.77	3.25	6.71	0.762647
18	16	10000	random	morton	0.9936	0.61	1.02	18.64	0.316765
19	16	10000	random	xxhash	0.7517	1.02	2.17	11.28	0.171765
20	16	10000	spatial_locality	hilbert	0.6451	1.3	2.37	8.66	0.781142
21	16	10000	spatial_locality	morton	0.9936	0.62	1.06	18.56	0.32699
22	16	10000	spatial_locality	xxhash	0.7605	0.97	2.01	11.93	0.183391
23	16	10000	temporal_locality	hilbert	0.7878	1.36	2.96	8.09	0.893909
24	16	10000	temporal_locality	morton	0.9936	1.1	1.88	9.77	0.700386
25	16	10000	temporal_locality	xxhash	0.8317	0.92	2.09	12.22	0.625443
26	16	100000	sequential	hilbert	0.95904	1.31	2.54	8.28	0.853893
27	16	100000	sequential	morton	0.99936	0.62	1.45	15.73	0.456905
28	16	100000	sequential	xxhash	0.97385	0.85	2.07	11.99	0.15636
29	16	100000	random	hilbert	0.95904	1.88	3.419	6.22	0.824273
30	16	100000	random	morton	0.99936	0.69	1.54	14.91	0.461757
31	16	100000	random	xxhash	0.97385	0.74	1.53	14.79	0.179836
32	16	100000	spatial_locality	hilbert	0.95904	1.63	3.84	6.46	0.837229
33	16	100000	spatial_locality	morton	0.99936	0.68	1.67	14.77	0.507937
34	16	100000	spatial_locality	xxhash	0.97385	0.96	2.11	11.61	0.223088
35	16	100000	temporal_locality	hilbert	0.95904	1.75	3.339	6.71	0.855542
36	16	100000	temporal_locality	morton	0.99936	0.99	1.97	10.54	0.542715
37	16	100000	temporal_locality	xxhash	0.97385	1.17	2.53	9.03	0.298132
38	16	1000000	sequential	hilbert	0.995904	1.86	3.8	6.0	0.879824
39	16	1000000	sequential	morton	0.999936	0.79	1.78	13.33	0.579542
40	16	1000000	sequential	xxhash	0.997385	1.06	2.26	10.41	0.187637
41	16	1000000	random	hilbert	0.995904	1.85	3.76	6.16	0.896838
42	16	1000000	random	morton	0.999936	0.76	1.81	13.37	0.614369
43	16	1000000	random	xxhash	0.997385	0.82	2.05	12.28	0.200798
44	16	1000000	spatial_locality	hilbert	0.995904	1.78	3.539	6.54	0.885748
45	16	1000000	spatial_locality	morton	0.999936	0.83	1.819	13.06	0.63457
46	16	1000000	spatial_locality	xxhash	0.997385	0.82	2.09	12.3	0.215548
47	16	1000000	temporal_locality	hilbert	0.995904	1.81	3.69	6.35	0.886049
48	16	1000000	temporal_locality	morton	0.999936	0.97	2.01	11.69	0.610102
49	16	1000000	temporal_locality	xxhash	0.997385	0.88	2.24	11.78	0.202341
50	32	1000	sequential	hilbert	0.0	1.44	3.48	7.69	0.646178
51	32	1000	sequential	morton	0.936	0.82	1.89	13.76	0.0
52	32	1000	sequential	xxhash	0.016	0.7	2.21	15.8	0.001033
53	32	1000	random	hilbert	0.013	1.54	3.13	7.55	0.700935
54	32	1000	random	morton	0.575	0.93	2.83	11.36	0.130841
55	32	1000	random	xxhash	0.022	0.69	2.14	15.98	0.130841
56	32	1000	spatial_locality	hilbert	0.048	2.12	3.88	5.56	0.744526
57	32	1000	spatial_locality	morton	0.633	1.06	3.58	10.2	0.175182
58	32	1000	spatial_locality	xxhash	0.059	1.09	2.489	10.5	0.175182
59	32	1000	temporal_locality	hilbert	0.711	1.259	2.81	9.05	0.99699
60	32	1000	temporal_locality	morton	0.778	0.72	1.839	15.16	0.99378
61	32	1000	temporal_locality	xxhash	0.713	0.74	2.42	14.56	0.99378
62	32	10000	sequential	hilbert	0.0	1.53	2.47	7.5	0.697797
63	32	10000	sequential	morton	0.9744	0.84	1.669	13.31	0.172687
64	32	10000	sequential	xxhash	0.0961	1.02	2.22	10.83	0.001762
65	32	10000	random	hilbert	0.0974	1.74	3.8	6.01	0.743056
66	32	10000	random	morton	0.9488	1.04	2.75	9.33	0.326389
67	32	10000	random	xxhash	0.1899	0.89	2.25	11.5	0.155093
68	32	10000	spatial_locality	hilbert	0.1276	2.18	4.29	5.42	0.757447
69	32	10000	spatial_locality	morton	0.9488	1.12	2.46	10.43	0.319149
70	32	10000	spatial_locality	xxhash	0.2114	1.15	2.39	9.78	0.180851
71	32	10000	temporal_locality	hilbert	0.7156	1.48	2.54	7.87	0.977453
72	32	10000	temporal_locality	morton	0.949	0.84	2.0	13.62	0.936203
73	32	10000	temporal_locality	xxhash	0.7293	0.98	2.39	10.82	0.922111
74	32	100000	sequential	hilbert	0.0	2.19	4.46	5.15	0.804455
75	32	100000	sequential	morton	0.99488	0.86	1.73	12.93	0.423267
76	32	100000	sequential	xxhash	0.12266	1.15	2.29	9.74	0.091584
77	32	100000	random	hilbert	0.12061	2.19	4.11	5.41	0.838554
78	32	100000	random	morton	0.99488	1.1	2.52	9.75	0.460241
79	32	100000	random	xxhash	0.23362	1.0	2.23	10.51	0.13494
80	32	100000	spatial_locality	hilbert	0.15836	1.86	4.01	5.76	0.803738
81	32	100000	spatial_locality	morton	0.99488	0.84	2.0	12.94	0.441589
82	32	100000	spatial_locality	xxhash	0.26775	0.94	2.17	11.11	0.168224
83	32	100000	temporal_locality	hilbert	0.73543	2.32	4.15	5.02	0.915879
84	32	100000	temporal_locality	morton	0.99488	0.92	2.15	11.35	0.791115
85	32	100000	temporal_locality	xxhash	0.76812	0.81	1.67	13.64	0.672968
86	32	1000000	sequential	hilbert	0.0	2.06	4.1	5.64	0.868217
87	32	1000000	sequential	morton	0.999488	0.94	2.21	11.38	0.563307
88	32	1000000	sequential	xxhash	0.125165	0.94	2.34	10.56	0.126615
89	32	1000000	random	hilbert	0.124594	2.15	4.18	5.45	0.866972
90	32	1000000	random	morton	0.999488	1.13	2.67	9.49	0.594037
91	32	1000000	random	xxhash	0.24068	1.08	2.29	10.19	0.169725
92	32	1000000	spatial_locality	hilbert	0.160435	2.1	4.11	5.55	0.896806
93	32	1000000	spatial_locality	morton	0.999488	1.01	2.29	10.87	0.601966
94	32	1000000	spatial_locality	xxhash	0.272339	1.07	2.37	10.13	0.159705
95	32	1000000	temporal_locality	hilbert	0.31645	2.26	4.32	5.15	0.861111
96	32	1000000	temporal_locality	morton	0.999488	1.03	2.52	10.0	0.645299
97	32	1000000	temporal_locality	xxhash	0.417041	1.229	2.68	8.87	0.271368
98	64	1000	sequential	hilbert	0.0	2.24	6.719	4.87	0.645312
99	64	1000	sequential	morton	0.936	0.869	2.17	12.78	0.0
100	64	1000	sequential	xxhash	0.0	1.13	3.14	9.72	0.000521
101	64	1000	random	hilbert	0.0	1.82	3.69	5.99	0.666667
102	64	1000	random	morton	0.111	0.97	2.84	11.47	0.0
103	64	1000	random	xxhash	0.001	0.71	2.63	14.14	0.0
104	64	1000	spatial_locality	hilbert	0.025	1.74	3.49	6.56	0.760479
105	64	1000	spatial_locality	morton	0.314	1.33	5.089	8.14	0.155689
106	64	1000	spatial_locality	xxhash	0.028	0.97	5.65	10.27	0.155689
107	64	1000	temporal_locality	hilbert	0.709	2.83	7.79	3.75	1.0
108	64	1000	temporal_locality	morton	0.718	0.96	3.209	11.22	0.999394
109	64	1000	temporal_locality	xxhash	0.709	0.71	2.12	13.81	0.999394
110	64	10000	sequential	hilbert	0.0	2.33	4.5	4.88	0.728457
111	64	10000	sequential	morton	0.936	0.95	1.92	11.9	0.196393
112	64	10000	sequential	xxhash	0.0136	1.1	2.24	10.38	0.0
113	64	10000	random	hilbert	0.013	2.199	5.189	4.77	0.79661
114	64	10000	random	morton	0.6257	1.64	3.22	6.75	0.322034
115	64	10000	random	xxhash	0.0251	0.76	1.49	14.81	0.220339
116	64	10000	spatial_locality	hilbert	0.0366	2.66	4.92	4.13	0.80531
117	64	10000	spatial_locality	morton	0.6721	1.1	3.03	9.37	0.274336
118	64	10000	spatial_locality	xxhash	0.0501	0.84	2.06	12.02	0.150442
119	64	10000	temporal_locality	hilbert	0.7042	2.46	4.459	4.63	0.996948
120	64	10000	temporal_locality	morton	0.7894	0.9	2.14	12.41	0.989734
121	64	10000	temporal_locality	xxhash	0.7065	0.69	1.53	16.0	0.989456
122	64	100000	sequential	hilbert	0.0	2.45	4.47	4.57	0.794643
123	64	100000	sequential	morton	0.97952	1.07	2.43	10.49	0.348214
124	64	100000	sequential	xxhash	0.01483	1.15	2.36	9.74	0.0
125	64	100000	random	hilbert	0.01491	2.59	5.039	4.37	0.754717
126	64	100000	random	morton	0.95904	1.12	2.789	8.98	0.528302
127	64	100000	random	xxhash	0.03015	0.89	2.17	11.2	0.245283
128	64	100000	spatial_locality	hilbert	0.04087	2.38	4.65	4.76	0.840909
129	64	100000	spatial_locality	morton	0.95904	1.33	2.74	8.82	0.454545
130	64	100000	spatial_locality	xxhash	0.05548	1.14	2.29	9.89	0.068182
131	64	100000	temporal_locality	hilbert	0.70388	2.27	4.59	4.92	0.980226
132	64	100000	temporal_locality	morton	0.95908	1.28	2.86	8.76	0.94774
133	64	100000	temporal_locality	xxhash	0.70837	1.03	2.26	10.76	0.927966
134	64	1000000	sequential	hilbert	0.0	2.37	4.71	4.83	0.87037
135	64	1000000	sequential	morton	0.995904	0.84	2.37	11.73	0.518519
136	64	1000000	sequential	xxhash	0.015167	0.85	2.21	11.45	0.148148
137	64	1000000	random	hilbert	0.015705	2.51	4.68	4.69	0.87931
138	64	1000000	random	morton	0.995904	1.3	3.09	8.35	0.637931
139	64	1000000	random	xxhash	0.030879	0.94	2.31	10.46	0.155172
140	64	1000000	spatial_locality	hilbert	0.039309	2.39	4.54	4.91	0.865385
141	64	1000000	spatial_locality	morton	0.995904	1.15	2.89	9.19	0.634615
142	64	1000000	spatial_locality	xxhash	0.054487	0.95	2.369	10.55	0.134615
143	64	1000000	temporal_locality	hilbert	0.220719	2.62	4.92	4.42	0.948276
144	64	1000000	temporal_locality	morton	0.995904	1.54	3.499	7.2	0.853448
145	64	1000000	temporal_locality	xxhash	0.234006	0.979	2.14	10.9	0.646552
146	128	1000	sequential	hilbert	0.0	2.45	4.84	4.71	0.65397
147	128	1000	sequential	morton	0.936	0.57	1.12	19.84	0.0
148	128	1000	sequential	xxhash	0.0	0.68	1.71	16.06	0.0
149	128	1000	random	hilbert	0.0	2.04	3.74	5.72	1.0
150	128	1000	random	morton	0.106	0.98	2.7	11.49	1.0
151	128	1000	random	xxhash	0.001	0.69	2.07	15.98	1.0
152	128	1000	spatial_locality	hilbert	0.018	1.96	3.939	5.47	0.725664
153	128	1000	spatial_locality	morton	0.276	1.29	3.66	8.78	0.159292
154	128	1000	spatial_locality	xxhash	0.02	0.69	2.04	16.08	0.159292
155	128	1000	temporal_locality	hilbert	0.709	1.69	2.87	6.79	1.0
156	128	1000	temporal_locality	morton	0.721	0.73	1.739	14.71	1.0
157	128	1000	temporal_locality	xxhash	0.709	0.5	1.28	20.96	1.0
158	128	10000	sequential	hilbert	0.0	1.88	2.9	6.19	0.668831
159	128	10000	sequential	morton	0.9744	0.86	1.61	13.47	0.254545
160	128	10000	sequential	xxhash	0.0014	1.22	2.23	9.27	0.0
161	128	10000	random	hilbert	0.0011	2.13	4.28	4.92	0.714286
162	128	10000	random	morton	0.6233	1.01	2.17	11.48	0.214286
163	128	10000	random	xxhash	0.0032	0.75	1.549	14.77	0.071429
164	128	10000	spatial_locality	hilbert	0.0201	1.99	4.59	5.15	0.693878
165	128	10000	spatial_locality	morton	0.651	1.01	2.19	11.31	0.244898
166	128	10000	spatial_locality	xxhash	0.0214	0.99	2.219	10.78	0.122449
167	128	10000	temporal_locality	hilbert	0.7032	2.67	4.18	4.39	1.0
168	128	10000	temporal_locality	morton	0.7872	1.49	3.4	7.39	1.0
169	128	10000	temporal_locality	xxhash	0.7036	0.62	1.32	18.34	0.999439
170	128	100000	sequential	hilbert	0.0	2.66	5.0	4.33	0.756303
171	128	100000	sequential	morton	0.98976	0.67	1.63	15.25	0.394958
172	128	100000	sequential	xxhash	0.00198	0.8	1.55	13.78	0.0
173	128	100000	random	hilbert	0.00187	2.62	4.41	4.58	1.0
174	128	100000	random	morton	0.95904	1.439	3.13	7.7	0.571429
175	128	100000	random	xxhash	0.00373	1.14	2.21	9.95	0.142857
176	128	100000	spatial_locality	hilbert	0.02221	2.74	4.63	4.17	0.777778
177	128	100000	spatial_locality	morton	0.95904	1.079	2.44	10.15	0.222222
178	128	100000	spatial_locality	xxhash	0.02414	0.91	2.08	11.47	0.111111
179	128	100000	temporal_locality	hilbert	0.70039	2.71	4.67	4.43	0.995434
180	128	100000	temporal_locality	morton	0.95905	1.35	2.87	8.52	0.99239
181	128	100000	temporal_locality	xxhash	0.70087	0.88	2.2	11.93	0.990868
182	128	1000000	sequential	hilbert	0.0	2.5	4.61	4.8	0.875
183	128	1000000	sequential	morton	0.995904	1.02	2.56	10.46	0.5
184	128	1000000	sequential	xxhash	0.001913	0.97	2.24	10.71	0.0
185	128	1000000	random	hilbert	0.00197	2.95	5.77	3.76	0.909091
186	128	1000000	random	morton	0.995904	1.469	3.339	7.43	0.545455
187	128	1000000	random	xxhash	0.003894	1.1	2.36	9.76	0.090909
188	128	1000000	spatial_locality	hilbert	0.021323	2.859	5.81	3.77	0.8
189	128	1000000	spatial_locality	morton	0.995904	1.55	3.55	6.93	0.4
190	128	1000000	spatial_locality	xxhash	0.023256	1.3	2.73	8.3	0.2
191	128	1000000	temporal_locality	hilbert	0.208938	3.12	5.87	3.6	1.0
192	128	1000000	temporal_locality	morton	0.995904	1.61	3.73	6.87	0.985714
193	128	1000000	temporal_locality	xxhash	0.210727	1.1	2.26	9.96	0.957143
194	256	1000	sequential	hilbert	0.0	2.66	5.74	4.22	0.701149
195	256	1000	sequential	morton	0.936	0.58	1.35	16.8	0.0
196	256	1000	sequential	xxhash	0.0	1.59	4.31	7.23	0.0
197	256	1000	random	hilbert	0.0	3.26	7.559	3.33	1.0
198	256	1000	random	morton	0.102	2.41	5.379	4.72	1.0
199	256	1000	random	xxhash	0.0	1.03	2.99	10.56	1.0
200	256	1000	spatial_locality	hilbert	0.018	2.959	5.999	3.8	0.697917
201	256	1000	spatial_locality	morton	0.236	1.33	3.61	8.54	0.1875
202	256	1000	spatial_locality	xxhash	0.018	0.69	2.03	15.67	0.1875
203	256	1000	temporal_locality	hilbert	0.709	1.98	3.839	5.87	1.0
204	256	1000	temporal_locality	morton	0.718	1.31	5.36	8.3	1.0
205	256	1000	temporal_locality	xxhash	0.709	0.72	2.23	14.47	1.0
206	256	10000	sequential	hilbert	0.0	2.93	6.219	3.65	0.666255
207	256	10000	sequential	morton	0.9808	1.02	1.83	11.7	0.242274
208	256	10000	sequential	xxhash	0.0003	0.97	2.15	10.96	0.0
209	256	10000	random	hilbert	0.0	3.34	6.51	3.46	0.0
210	256	10000	random	morton	0.6236	1.43	3.21	7.79	0.0
211	256	10000	random	xxhash	0.0003	0.96	1.93	11.07	0.0
212	256	10000	spatial_locality	hilbert	0.0159	3.21	7.46	3.33	0.815789
213	256	10000	spatial_locality	morton	0.6412	1.46	3.75	7.39	0.315789
214	256	10000	spatial_locality	xxhash	0.0161	1.22	2.36	9.71	0.131579
215	256	10000	temporal_locality	hilbert	0.7031	3.09	5.84	3.62	1.0
216	256	10000	temporal_locality	morton	0.7884	1.54	3.65	7.08	1.0
217	256	10000	temporal_locality	xxhash	0.7031	0.72	1.61	14.81	1.0
218	256	100000	sequential	hilbert	0.0	2.94	5.81	3.82	0.795699
219	256	100000	sequential	morton	0.99488	1.17	2.15	10.02	0.419355
220	256	100000	sequential	xxhash	0.00024	1.18	2.34	9.45	0.0
221	256	100000	random	hilbert	0.0002	3.42	6.42	3.31	1.0
222	256	100000	random	morton	0.95904	1.45	3.16	7.8	1.0
223	256	100000	random	xxhash	0.00044	1.23	2.44	8.98	1.0
224	256	100000	spatial_locality	hilbert	0.01778	2.959	5.99	3.74	0.8
225	256	100000	spatial_locality	morton	0.95904	1.16	3.06	8.68	0.0
226	256	100000	spatial_locality	xxhash	0.01798	1.38	2.75	7.96	0.0
227	256	100000	temporal_locality	hilbert	0.69993	3.65	7.26	2.95	1.0
228	256	100000	temporal_locality	morton	0.95906	2.17	4.71	5.31	1.0
229	256	100000	temporal_locality	xxhash	0.7	1.43	3.34	6.99	1.0
230	256	1000000	sequential	hilbert	0.0	2.82	5.22	4.12	0.875
231	256	1000000	sequential	morton	0.998976	0.69	1.96	13.78	0.625
232	256	1000000	sequential	xxhash	0.000235	1.23	2.999	8.62	0.0
233	256	1000000	random	hilbert	0.000241	3.41	6.57	3.23	1.0
234	256	1000000	random	morton	0.995904	1.51	3.34	7.32	1.0
235	256	1000000	random	xxhash	0.000453	1.27	2.72	8.53	1.0
236	256	1000000	spatial_locality	hilbert	0.017244	3.05	5.38	3.76	1.0
237	256	1000000	spatial_locality	morton	0.995904	1.36	2.95	8.15	1.0
238	256	1000000	spatial_locality	xxhash	0.017474	1.2	2.249	9.51	1.0
239	256	1000000	temporal_locality	hilbert	0.207492	3.52	7.01	3.15	1.0
240	256	1000000	temporal_locality	morton	0.995904	1.73	3.56	6.44	0.985294
241	256	1000000	temporal_locality	xxhash	0.20766	1.28	2.58	8.67	0.985294

15 KiB Raw Blame History

15 KiB

Raw Blame History