Batched Cholesky factorization
Batched dense Cholesky factorization on B200: from a symmetric positive definite fp32 batch×n×n input A, return a lower-triangular fp32 L with positive diagonal such that A = L @ L.T. Correctness is property-based (structure plus reconstruction residual) rather than elementwise comparison, and the grid spans thousands of small matrices up to a single 32768×32768 factorization. cond is a deterministic dynamic-range control on the generated inputs.
Reported evidence · last observed 2026-07-29. Reported by source; not independently reproduced. License unknown.
Current records
Not measured on H100 for this workload. Challenges →
1submission 928092jordanrubin2.61µs1.00×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
2submission 892285Yukariko21.2µs8.10×Reported · license unknown · source2026-07-21
Measured exactly what you asked. Reported by source; not independently reproduced.
3submission 892056Ravi Theja55.8µs21.35×Reported · license unknown · source2026-07-21
Measured exactly what you asked. Reported by source; not independently reproduced.
4submission 887048yanchi_72526178.8µs68.39×Reported · license unknown · source2026-07-19
Measured exactly what you asked. Reported by source; not independently reproduced.
5submission 895407viridale197.1µs75.41×Reported · license unknown · source2026-07-22
Measured exactly what you asked. Reported by source; not independently reproduced.
6submission 923166zhongmingee201.5µs77.09×Reported · license unknown · source2026-07-28
Measured exactly what you asked. Reported by source; not independently reproduced.
7submission 905392zhongmingee205.8µs78.74×Reported · license unknown · no source2026-07-24
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8submission 929894Frosty40240.7µs92.07×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
9251.1µs96.06×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
10submission 918830Frosty40266.3µs101.88×Reported · license unknown · no source2026-07-27
Measured exactly what you asked. Reported by source; not independently reproduced.
11submission 920488aj2kcc308.3µs117.94×Reported · license unknown · source2026-07-28
Measured exactly what you asked. Reported by source; not independently reproduced.
12submission 914410Frosty40315.8µs120.79×Reported · license unknown · no source2026-07-26
Measured exactly what you asked. Reported by source; not independently reproduced.
13submission 896991zhongmingee320.8µs122.71×Reported · license unknown · no source2026-07-22
Measured exactly what you asked. Reported by source; not independently reproduced.
14323.0µs123.55×Reported · license unknown · no source2026-07-27
Measured exactly what you asked. Reported by source; not independently reproduced.
15submission 927658sankalp1999328.6µs125.70×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
16submission 930470diacl_54609359.2µs137.41×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
17364.5µs139.43×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
18submission 890435zhongmingee375.4µs143.61×Reported · license unknown · no source2026-07-20
Measured exactly what you asked. Reported by source; not independently reproduced.
19submission 930343Achyut Reddy378.4µs144.75×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
20submission 930469abhiksark388.3µs148.55×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
21submission 930172sumeetv.415.2µs158.83×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
22submission 925388sumeetv.424.0µs162.20×Reported · license unknown · no source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
23submission 921345codeman62424.8µs162.48×Reported · license unknown · source2026-07-28
Measured exactly what you asked. Reported by source; not independently reproduced.
24submission 930302revolutionaryspaces437.6µs167.42×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
25submission 882012viridale455.6µs174.30×Reported · license unknown · no source2026-07-17
Measured exactly what you asked. Reported by source; not independently reproduced.
26submission 921648Achyut Reddy458.3µs175.30×Reported · license unknown · no source2026-07-28
Measured exactly what you asked. Reported by source; not independently reproduced.
27submission 899224aj2kcc461.9µs176.69×Reported · license unknown · no source2026-07-23
Measured exactly what you asked. Reported by source; not independently reproduced.
28submission 916005codeman62478.2µs182.93×Reported · license unknown · no source2026-07-27
Measured exactly what you asked. Reported by source; not independently reproduced.
29submission 925857salad483.5µs184.95×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
30submission 922771msaroufim487.5µs186.48×Reported · license unknown · source2026-07-28
Measured exactly what you asked. Reported by source; not independently reproduced.
31submission 913973Seraphim489.4µs187.23×Reported · license unknown · source2026-07-26
Measured exactly what you asked. Reported by source; not independently reproduced.
32submission 927769diacl_54609490.2µs187.50×Reported · license unknown · no source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
33submission 888861Sebastian Kimberk496.5µs189.94×Reported · license unknown · source2026-07-20
Measured exactly what you asked. Reported by source; not independently reproduced.
34submission 881408xuan9938506.5µs193.77×Reported · license unknown · source2026-07-17
Measured exactly what you asked. Reported by source; not independently reproduced.
35submission 927797aryanmagoon516.1µs197.41×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
36submission 925151sumeetv.519.0µs198.53×Reported · license unknown · no source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
37submission 890168josusanmartin524.3µs200.56×Reported · license unknown · source2026-07-20
Measured exactly what you asked. Reported by source; not independently reproduced.
38submission 924278aryanmagoon539.1µs206.22×Reported · license unknown · no source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
39submission 929733Ellocsys554.6µs212.15×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
40submission 912707abhiksark557.0µs213.07×Reported · license unknown · no source2026-07-26
Measured exactly what you asked. Reported by source; not independently reproduced.
41submission 930185Varshith561.4µs214.76×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
42submission 909250Achyut Reddy564.9µs216.10×Reported · license unknown · no source2026-07-25
Measured exactly what you asked. Reported by source; not independently reproduced.
43submission 887241dannywillowliu-uchi567.0µs216.91×Reported · license unknown · source2026-07-19
Measured exactly what you asked. Reported by source; not independently reproduced.
44submission 914073codeman62567.5µs217.11×Reported · license unknown · no source2026-07-26
Measured exactly what you asked. Reported by source; not independently reproduced.
45submission 910018sankalp1999568.9µs217.64×Reported · license unknown · no source2026-07-25
Measured exactly what you asked. Reported by source; not independently reproduced.
46574.4µs219.72×Reported · license unknown · no source2026-07-19
Measured exactly what you asked. Reported by source; not independently reproduced.
47submission 887161Ravi Theja578.3µs221.20×Reported · license unknown · no source2026-07-19
Measured exactly what you asked. Reported by source; not independently reproduced.
48581.4µs222.42×Reported · license unknown · source2026-07-27
Measured exactly what you asked. Reported by source; not independently reproduced.
49submission 925530diacl_54609581.9µs222.61×Reported · license unknown · no source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
50submission 917704rishyanthkondra583.8µs223.32×Reported · license unknown · source2026-07-27
Measured exactly what you asked. Reported by source; not independently reproduced.
51submission 919860revolutionaryspaces584.7µs223.68×Reported · license unknown · no source2026-07-28
Measured exactly what you asked. Reported by source; not independently reproduced.
52submission 913313Seraphim587.4µs224.69×Reported · license unknown · no source2026-07-26
Measured exactly what you asked. Reported by source; not independently reproduced.
53submission 911634Voldemort4321588.2µs225.01×Reported · license unknown · source2026-07-26
Measured exactly what you asked. Reported by source; not independently reproduced.
54submission 924586dbuddha594.9µs227.56×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
55submission 887036dannywillowliu-uchi614.4µs235.04×Reported · license unknown · no source2026-07-19
Measured exactly what you asked. Reported by source; not independently reproduced.
56submission 926462binga630.4µs241.15×Reported · license unknown · source2026-07-29
Measured exactly what you asked. Reported by source; not independently reproduced.
57submission 893552kdpisda632.3µs241.88×Reported · license unknown · source2026-07-21
Measured exactly what you asked. Reported by source; not independently reproduced.
58submission 892316badelsteinlelbach656.4µs251.11×Reported · license unknown · source2026-07-21
Measured exactly what you asked. Reported by source; not independently reproduced.
59submission 901618damngamerz674.4µs257.96×Reported · license unknown · source2026-07-24
Measured exactly what you asked. Reported by source; not independently reproduced.
60submission 889275rishyanthkondra675.2µs258.28×Reported · license unknown · no source2026-07-20
Measured exactly what you asked. Reported by source; not independently reproduced.
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