test.md

Summary: Time (seconds) to get 134217728 randoms with varying number of threads

Best and Worst Average Times per Thread

Number of Randoms	Number of Threads	at::mt19937 (chunking) [best avg (s)]	at::mt19937 (chunking) [worst avg (s)]	std::mt19937 (chunking) [best avg (s)]	std::mt19937 (chunking) [worst avg (s)]	philox_simd (global) [best avg (s)]	philox_simd (global) [worst avg (s)]	philox (thread local) [best avg (s)]	philox (thread local) [worst avg (s)]	philox (global) (chunking) [best avg (s)]	philox (global) (chunking) [worst avg (s)]	philox_simd (global) (chunking) [best avg (s)]	philox_simd (global) (chunking) [worst avg (s)]	std::mt19937 [best avg (s)]	std::mt19937 [worst avg (s)]	pcg64 (chunking) [best avg (s)]	pcg64 (chunking) [worst avg (s)]	xoshiro256** [best avg (s)]	xoshiro256** [worst avg (s)]	pcg64 [best avg (s)]	pcg64 [worst avg (s)]	at::mt19937 [best avg (s)]	at::mt19937 [worst avg (s)]	xoshiro256** (chunking) [best avg (s)]	xoshiro256** (chunking) [worst avg (s)]	philox_simd (thread local) [best avg (s)]	philox_simd (thread local) [worst avg (s)]	philox (global) [best avg (s)]	philox (global) [worst avg (s)]
134217728	1	0.377369	0.380408	0.680207	0.687023	0.174867	0.17489	0.437677	0.438034	0.419427	0.420261	0.165839	0.16627	1.63441	1.63521	0.0915272	0.092043	0.646487	0.647566	0.622447	0.623298	0.394635	0.396637	0.0769889	0.0770606	0.18466	0.1851	0.437661	0.4378
134217728	2	0.282107	0.283397	0.509677	0.515946	0.128764	0.130781	0.218835	0.219005	0.313244	0.315945	0.12443	0.124878	1.20159	1.20185	0.0686155	0.0686655	0.473004	0.474826	0.441374	0.441615	0.293529	0.296877	0.0577845	0.0578763	0.0912225	0.0938281	0.326613	0.328497
134217728	4	0.233121	0.234724	0.423613	0.42687	0.106326	0.108798	0.109846	0.137957	0.261033	0.2624	0.101303	0.102955	1.00202	1.01017	0.0563221	0.0564607	0.394889	0.398062	0.3656	0.367819	0.241225	0.247645	0.0446213	0.0481827	0.0456368	0.0675388	0.271517	0.273567
134217728	8	0.208936	0.220615	0.383152	0.383774	0.0970275	0.0979062	0.054797	0.0681235	0.233244	0.236166	0.184387	0.187277	0.899643	0.903044	0.050561	0.051615	0.353662	0.355993	0.325534	0.329834	0.219842	0.220289	0.0434593	0.0436347	0.0228703	0.0255357	0.243043	0.244799
134217728	16	0.201026	0.20227	0.361334	0.363595	0.0900852	0.0925092	0.0367542	0.0468242	0.217842	0.222249	0.349786	0.351992	0.848607	0.851972	0.0443996	0.046881	0.334806	0.337266	0.305162	0.311175	0.209102	0.210543	0.0409339	0.0410215	0.0162049	0.0167233	0.229333	0.231494
134217728	32	0.192129	0.194848	0.348957	0.351397	0.0872353	0.0898503	0.021248	0.0287329	0.214381	0.215218	0.682757	0.6855	0.826285	0.828924	0.0456992	0.047298	0.325641	0.328653	0.300571	0.304815	0.201235	0.201975	0.0398328	0.0398989	0.00839495	0.00873073	0.224985	0.22873
134217728	64	0.189685	0.192715	0.345576	0.34881	0.0856408	0.0867479	0.0142023	0.015602	0.424859	0.429997	1.34666	1.34895	0.815325	0.818679	0.0454623	0.0467461	0.32141	0.325227	0.295144	0.300178	0.198501	0.200765	0.0385562	0.0392101	0.00377689	0.00445647	0.219805	0.221426
134217728	128	0.187976	0.19055	0.340595	0.347045	0.0871208	0.0881895	0.00750217	0.0110993	0.843473	0.847659	2.67542	2.68307	0.809746	0.818892	0.0910683	0.0916369	0.316607	0.318276	0.294643	0.299078	0.196236	0.20009	0.0770691	0.0776664	0.00193248	0.00197437	0.218924	0.220474
134217728	256	7.93906e-08	8.09922e-08	6.77813e-08	7.22148e-08	0.0869167	0.0870339	0.00309767	0.00335373	7.14609e-08	7.60312e-08	8.38555e-08	8.48008e-08	0.807989	0.811839	1.0825e-07	1.10711e-07	0.320291	0.321807	0.295286	0.297657	0.199181	0.200566	1.15305e-07	1.18461e-07	0.000990963	0.00124968	0.218992	0.219953
134217728	512	7.6541e-08	7.81328e-08	6.81992e-08	7.03516e-08	0.0845753	0.0848294	0.00132239	0.00182248	7.1252e-08	7.31406e-08	7.85801e-08	8.05293e-08	0.828246	0.835351	1.08277e-07	1.09973e-07	0.325137	0.325716	0.30121	0.30193	0.197455	0.197761	1.07744e-07	1.15627e-07	0.000484275	0.000602021	0.21914	0.219614
134217728	1024	7.61729e-08	7.91328e-08	6.66367e-08	6.73906e-08	0.0842213	0.0851836	0.000692051	0.000773993	6.9752e-08	7.08916e-08	8.3083e-08	8.33516e-08	0.827847	0.828912	1.1019e-07	1.11117e-07	0.325239	0.326682	0.300919	0.30261	0.197764	0.19922	1.141e-07	1.17063e-07	0.000242874	0.000260194	0.218324	0.2199

---

Best and Worst Max Times

Number of Randoms	Number of Threads	at::mt19937 (chunking) [best max (s)]	at::mt19937 (chunking) [worst max (s)]	std::mt19937 (chunking) [best max (s)]	std::mt19937 (chunking) [worst max (s)]	philox_simd (global) [best max (s)]	philox_simd (global) [worst max (s)]	philox (thread local) [best max (s)]	philox (thread local) [worst max (s)]	philox (global) (chunking) [best max (s)]	philox (global) (chunking) [worst max (s)]	philox_simd (global) (chunking) [best max (s)]	philox_simd (global) (chunking) [worst max (s)]	std::mt19937 [best max (s)]	std::mt19937 [worst max (s)]	pcg64 (chunking) [best max (s)]	pcg64 (chunking) [worst max (s)]	xoshiro256** [best max (s)]	xoshiro256** [worst max (s)]	pcg64 [best max (s)]	pcg64 [worst max (s)]	at::mt19937 [best max (s)]	at::mt19937 [worst max (s)]	xoshiro256** (chunking) [best max (s)]	xoshiro256** (chunking) [worst max (s)]	philox_simd (thread local) [best max (s)]	philox_simd (thread local) [worst max (s)]	philox (global) [best max (s)]	philox (global) [worst max (s)]
134217728	1	0.377369	0.380408	0.680207	0.687023	0.174867	0.17489	0.437677	0.438034	0.419427	0.420261	0.165839	0.16627	1.63441	1.63521	0.0915272	0.092043	0.646487	0.647566	0.622447	0.623298	0.394635	0.396637	0.0769889	0.0770606	0.18466	0.1851	0.437661	0.4378
134217728	2	0.377607	0.379229	0.681515	0.690743	0.174563	0.17484	0.218929	0.221912	0.419459	0.421475	0.165923	0.166831	1.60354	1.60395	0.09146	0.091609	0.633202	0.634358	0.588498	0.588791	0.394524	0.396329	0.0770358	0.0772186	0.0912964	0.0958624	0.437671	0.438918
134217728	4	0.377569	0.378618	0.682288	0.685458	0.174074	0.174701	0.110974	0.16858	0.420227	0.42112	0.165899	0.166705	1.60807	1.62651	0.0916363	0.0920206	0.635546	0.63841	0.588391	0.589702	0.39536	0.39662	0.0770728	0.0773106	0.0513826	0.0780998	0.437714	0.438297
134217728	8	0.37856	0.380388	0.683719	0.684171	0.174125	0.175912	0.0568266	0.0922186	0.419532	0.421371	0.332499	0.334618	1.60612	1.60849	0.0916336	0.0921456	0.63473	0.634794	0.589436	0.59438	0.395331	0.396012	0.0773182	0.0777389	0.0263618	0.0366725	0.43833	0.439938
134217728	16	0.378336	0.380258	0.684303	0.686614	0.174162	0.174325	0.0625736	0.0781179	0.419237	0.421821	0.664315	0.666295	1.60519	1.60943	0.0916143	0.0918778	0.634921	0.636534	0.589494	0.593694	0.395953	0.397419	0.0771283	0.0774196	0.0280734	0.0341406	0.437782	0.43921
134217728	32	0.377957	0.380449	0.684302	0.695243	0.174389	0.174488	0.06021	0.0666306	0.419516	0.420077	1.32934	1.33255	1.60643	1.61362	0.0918079	0.0921805	0.6372	0.638286	0.591101	0.592765	0.394976	0.397939	0.0773732	0.077602	0.0265322	0.031683	0.439696	0.442866
134217728	64	0.378382	0.379784	0.686002	0.687017	0.174078	0.175562	0.0508562	0.056251	0.840573	0.846176	2.65948	2.66442	1.60941	1.62093	0.0919737	0.0923596	0.639622	0.640611	0.590163	0.591428	0.395603	0.397095	0.0772936	0.0775571	0.0253874	0.0372989	0.439098	0.441515
134217728	128	0.378545	0.378954	0.685906	0.689712	0.17444	0.175881	0.0491568	0.0550864	1.67576	1.68394	5.31248	5.33059	1.61241	1.62658	0.183402	0.183947	0.637395	0.639627	0.591245	0.593895	0.39528	0.399158	0.154762	0.155213	0.0262233	0.0325169	0.438776	0.439744
134217728	256	0.00196562	0.00201154	0.00195293	0.00200619	0.174898	0.175016	0.0511026	0.052692	0.00197978	0.00204774	0.00196467	0.00197821	1.612	1.61774	0.00198332	0.00206348	0.640022	0.643695	0.590947	0.596686	0.398375	0.401163	0.00193543	0.00201192	0.0210527	0.0273304	0.439179	0.440613
134217728	512	0.00397593	0.00400801	0.00395125	0.0041022	0.171909	0.173238	0.0475991	0.0517675	0.00398475	0.00404269	0.00398602	0.00421877	1.65875	1.67207	0.00398005	0.00402991	0.652733	0.655791	0.604928	0.606408	0.397724	0.399425	0.00396711	0.00402537	0.0212661	0.0250079	0.441673	0.442426
134217728	1024	0.00815099	0.00828188	0.00807651	0.00817822	0.175027	0.177243	0.0491897	0.0573169	0.00810947	0.00831456	0.00807991	0.00811863	1.66205	1.66307	0.00808513	0.00841337	0.656302	0.659595	0.608799	0.611837	0.402014	0.404573	0.00813093	0.00819181	0.0223687	0.0232019	0.443983	0.445974

---

Summary: Time (seconds) for 1 threads to get varying number of randoms

Best and Worst Average Times per Thread

Number of Randoms	Number of Threads	std::mt19937 (chunking) [best avg (s)]	std::mt19937 (chunking) [worst avg (s)]	at::mt19937 (chunking) [best avg (s)]	at::mt19937 (chunking) [worst avg (s)]	philox (thread local) [best avg (s)]	philox (thread local) [worst avg (s)]	pcg64 (chunking) [best avg (s)]	pcg64 (chunking) [worst avg (s)]	philox (global) [best avg (s)]	philox (global) [worst avg (s)]	at::mt19937 [best avg (s)]	at::mt19937 [worst avg (s)]	philox_simd (thread local) [best avg (s)]	philox_simd (thread local) [worst avg (s)]	philox (global) (chunking) [best avg (s)]	philox (global) (chunking) [worst avg (s)]	pcg64 [best avg (s)]	pcg64 [worst avg (s)]	std::mt19937 [best avg (s)]	std::mt19937 [worst avg (s)]	xoshiro256** [best avg (s)]	xoshiro256** [worst avg (s)]	xoshiro256** (chunking) [best avg (s)]	xoshiro256** (chunking) [worst avg (s)]	philox_simd (global) (chunking) [best avg (s)]	philox_simd (global) (chunking) [worst avg (s)]	philox_simd (global) [best avg (s)]	philox_simd (global) [worst avg (s)]
8	1	7.1e-08	1.56e-07	8e-08	2.59e-07	9e-08	1.78e-07	1.02e-07	1.93e-07	1.35e-07	2.68e-07	2.08e-07	1.149e-06	1.13e-07	3.79e-07	6.6e-08	1.63e-07	1.78e-07	2.81e-07	2.1e-07	1.197e-06	2.07e-07	2.8e-07	1.05e-07	4.48e-07	8.9e-08	1.34e-07	1.95e-07	3.95e-07
64	1	7.4e-08	9.2e-08	8e-08	1.28e-07	2.89e-07	3.75e-07	1e-07	1.03e-07	3.14e-07	3.54e-07	3.64e-07	7.46e-07	1.63e-07	2.61e-07	7.1e-08	9.8e-08	4.58e-07	4.83e-07	8.63e-07	1.696e-06	4.18e-07	4.54e-07	1.05e-07	1.15e-07	7.5e-08	1.09e-07	2.16e-07	2.77e-07
512	1	7.1e-08	1.05e-07	7.4e-08	1.11e-07	1.724e-06	1.817e-06	1.01e-07	1.02e-07	1.783e-06	1.857e-06	1.788e-06	2.079e-06	8e-07	8.84e-07	8.2e-08	1.04e-07	2.519e-06	2.543e-06	6.382e-06	6.687e-06	2.547e-06	2.592e-06	1.03e-07	1.12e-07	6.7e-08	1.01e-07	7.93e-07	8.74e-07
4096	1	7e-08	1.01e-07	7.8e-08	1.05e-07	1.3373e-05	1.4109e-05	1.03e-07	1.05e-07	1.3532e-05	1.4361e-05	1.2257e-05	1.4044e-05	5.685e-06	5.774e-06	7.3e-08	9.9e-08	1.9381e-05	1.9759e-05	4.9632e-05	5.3907e-05	2.0842e-05	2.2213e-05	1.04e-07	1.2e-07	6.7e-08	1.09e-07	5.472e-06	5.631e-06
32768	1	7.4e-08	1.02e-07	7.8e-08	1.05e-07	0.000106906	0.000107148	1.04e-07	1.14e-07	0.000106974	0.000113376	9.6614e-05	9.6919e-05	4.5088e-05	4.7749e-05	7.4e-08	9.9e-08	0.000145721	0.00015209	0.000399283	0.000404282	0.000155576	0.0001638	1.04e-07	1.05e-07	6.6e-08	1.1e-07	4.2612e-05	4.3816e-05
262144	1	7.3e-08	1.06e-07	8.1e-08	1.05e-07	0.000853988	0.000854336	1.1e-07	1.47e-07	0.000854688	0.000860683	0.00077122	0.000778922	0.000359971	0.000362902	7.1e-08	1.12e-07	0.00121524	0.00125616	0.00319339	0.00322739	0.00124724	0.00129682	9.3e-08	1.56e-07	7.1e-08	1.45e-07	0.000342799	0.000345344
2097152	1	0.0106223	0.010656	0.00590642	0.00590798	0.00683815	0.00684216	0.00142735	0.00143073	0.00683955	0.00684418	0.00616563	0.00617282	0.00287796	0.00291273	0.0130664	0.0134444	0.00972595	0.00972867	0.025565	0.0259931	0.0101779	0.0102642	0.00120179	0.00120536	0.0414675	0.0414744	0.00273043	0.00277744
16777216	1	0.084989	0.0855987	0.0472375	0.0479894	0.0547103	0.0548407	0.0114214	0.0114924	0.0547074	0.0547163	0.0493511	0.0496337	0.0230707	0.0231887	0.0521544	0.0525228	0.0778088	0.0778628	0.204664	0.205035	0.0808426	0.0812275	0.00963431	0.00965626	0.0414715	0.0417835	0.0218967	0.0222641
134217728	1	0.679921	0.68035	0.377709	0.377718	0.437664	0.437721	0.0913695	0.0914276	0.437626	0.437665	0.39457	0.39986	0.184513	0.185177	0.417881	0.420794	0.622279	0.62537	1.6358	1.63625	0.642651	0.650854	0.0769814	0.0779849	0.165832	0.166172	0.17482	0.17509
1073741824	1	5.43893	5.44127	3.02224	3.02443	3.50112	3.51576	0.730855	0.735545	3.50117	3.52293	3.15673	3.18391	1.47872	1.48356	3.34217	3.37272	4.97867	5.00871	13.0866	13.1129	5.15747	5.17517	0.615752	0.61588	1.32662	1.32875	1.39903	1.44687
8589934592	1	43.544	43.8115	24.1764	24.1774	28.008	28.0161	5.84687	5.88654	28.0094	28.2064	25.2565	25.3401	11.8235	11.9683	26.7336	26.8695	39.9349	40.0192	104.73	105.306	41.2196	41.5646	4.92864	4.97349	10.6136	10.6432	11.1938	11.6148

---

Best and Worst Max Times

Number of Randoms	Number of Threads	std::mt19937 (chunking) [best max (s)]	std::mt19937 (chunking) [worst max (s)]	at::mt19937 (chunking) [best max (s)]	at::mt19937 (chunking) [worst max (s)]	philox (thread local) [best max (s)]	philox (thread local) [worst max (s)]	pcg64 (chunking) [best max (s)]	pcg64 (chunking) [worst max (s)]	philox (global) [best max (s)]	philox (global) [worst max (s)]	at::mt19937 [best max (s)]	at::mt19937 [worst max (s)]	philox_simd (thread local) [best max (s)]	philox_simd (thread local) [worst max (s)]	philox (global) (chunking) [best max (s)]	philox (global) (chunking) [worst max (s)]	pcg64 [best max (s)]	pcg64 [worst max (s)]	std::mt19937 [best max (s)]	std::mt19937 [worst max (s)]	xoshiro256** [best max (s)]	xoshiro256** [worst max (s)]	xoshiro256** (chunking) [best max (s)]	xoshiro256** (chunking) [worst max (s)]	philox_simd (global) (chunking) [best max (s)]	philox_simd (global) (chunking) [worst max (s)]	philox_simd (global) [best max (s)]	philox_simd (global) [worst max (s)]
8	1	7.1e-08	1.56e-07	8e-08	2.59e-07	9e-08	1.78e-07	1.02e-07	1.93e-07	1.35e-07	2.68e-07	2.08e-07	1.149e-06	1.13e-07	3.79e-07	6.6e-08	1.63e-07	1.78e-07	2.81e-07	2.1e-07	1.197e-06	2.07e-07	2.8e-07	1.05e-07	4.48e-07	8.9e-08	1.34e-07	1.95e-07	3.95e-07
64	1	7.4e-08	9.2e-08	8e-08	1.28e-07	2.89e-07	3.75e-07	1e-07	1.03e-07	3.14e-07	3.54e-07	3.64e-07	7.46e-07	1.63e-07	2.61e-07	7.1e-08	9.8e-08	4.58e-07	4.83e-07	8.63e-07	1.696e-06	4.18e-07	4.54e-07	1.05e-07	1.15e-07	7.5e-08	1.09e-07	2.16e-07	2.77e-07
512	1	7.1e-08	1.05e-07	7.4e-08	1.11e-07	1.724e-06	1.817e-06	1.01e-07	1.02e-07	1.783e-06	1.857e-06	1.788e-06	2.079e-06	8e-07	8.84e-07	8.2e-08	1.04e-07	2.519e-06	2.543e-06	6.382e-06	6.687e-06	2.547e-06	2.592e-06	1.03e-07	1.12e-07	6.7e-08	1.01e-07	7.93e-07	8.74e-07
4096	1	7e-08	1.01e-07	7.8e-08	1.05e-07	1.3373e-05	1.4109e-05	1.03e-07	1.05e-07	1.3532e-05	1.4361e-05	1.2257e-05	1.4044e-05	5.685e-06	5.774e-06	7.3e-08	9.9e-08	1.9381e-05	1.9759e-05	4.9632e-05	5.3907e-05	2.0842e-05	2.2213e-05	1.04e-07	1.2e-07	6.7e-08	1.09e-07	5.472e-06	5.631e-06
32768	1	7.4e-08	1.02e-07	7.8e-08	1.05e-07	0.000106906	0.000107148	1.04e-07	1.14e-07	0.000106974	0.000113376	9.6614e-05	9.6919e-05	4.5088e-05	4.7749e-05	7.4e-08	9.9e-08	0.000145721	0.00015209	0.000399283	0.000404282	0.000155576	0.0001638	1.04e-07	1.05e-07	6.6e-08	1.1e-07	4.2612e-05	4.3816e-05
262144	1	7.3e-08	1.06e-07	8.1e-08	1.05e-07	0.000853988	0.000854336	1.1e-07	1.47e-07	0.000854688	0.000860683	0.00077122	0.000778922	0.000359971	0.000362902	7.1e-08	1.12e-07	0.00121524	0.00125616	0.00319339	0.00322739	0.00124724	0.00129682	9.3e-08	1.56e-07	7.1e-08	1.45e-07	0.000342799	0.000345344
2097152	1	0.0106223	0.010656	0.00590642	0.00590798	0.00683815	0.00684216	0.00142735	0.00143073	0.00683955	0.00684418	0.00616563	0.00617282	0.00287796	0.00291273	0.0130664	0.0134444	0.00972595	0.00972867	0.025565	0.0259931	0.0101779	0.0102642	0.00120179	0.00120536	0.0414675	0.0414744	0.00273043	0.00277744
16777216	1	0.084989	0.0855987	0.0472375	0.0479894	0.0547103	0.0548407	0.0114214	0.0114924	0.0547074	0.0547163	0.0493511	0.0496337	0.0230707	0.0231887	0.0521544	0.0525228	0.0778088	0.0778628	0.204664	0.205035	0.0808426	0.0812275	0.00963431	0.00965626	0.0414715	0.0417835	0.0218967	0.0222641
134217728	1	0.679921	0.68035	0.377709	0.377718	0.437664	0.437721	0.0913695	0.0914276	0.437626	0.437665	0.39457	0.39986	0.184513	0.185177	0.417881	0.420794	0.622279	0.62537	1.6358	1.63625	0.642651	0.650854	0.0769814	0.0779849	0.165832	0.166172	0.17482	0.17509
1073741824	1	5.43893	5.44127	3.02224	3.02443	3.50112	3.51576	0.730855	0.735545	3.50117	3.52293	3.15673	3.18391	1.47872	1.48356	3.34217	3.37272	4.97867	5.00871	13.0866	13.1129	5.15747	5.17517	0.615752	0.61588	1.32662	1.32875	1.39903	1.44687
8589934592	1	43.544	43.8115	24.1764	24.1774	28.008	28.0161	5.84687	5.88654	28.0094	28.2064	25.2565	25.3401	11.8235	11.9683	26.7336	26.8695	39.9349	40.0192	104.73	105.306	41.2196	41.5646	4.92864	4.97349	10.6136	10.6432	11.1938	11.6148

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