Research Article
A Strategy for Automatic Performance Tuning of Stencil Computations on GPUs
| | Radius | Type | Dims | Unique Dim | BX/VX | WX | WY | WZ | CX | CY | CZ | Data loading technique |
| | 1 | thumbtack | 3 | x | 1 | 128 | 4 | 1 | 1 | 32 | 1 | image | | 1 | thumbtack | 3 | y | 1 | 128 | 2 | 1 | 1 | 1 | 16 | image | | 1 | thumbtack | 3 | z | 1 | 128 | 2 | 1 | 1 | 8 | 1 | image | | 2 | thumbtack | 3 | x | 1 | 128 | 2 | 4 | 1 | 1 | 64 | image | | 2 | thumbtack | 3 | y | 1 | 64 | 1 | 4 | 1 | 1 | 1 | image | | 2 | thumbtack | 3 | z | 1 | 128 | 2 | 2 | 1 | 1 | 64 | image | | 3 | thumbtack | 3 | x | 1 | 8 | 2 | 8 | 1 | 1 | 1 | image | | 3 | thumbtack | 3 | y | 1 | 64 | 1 | 2 | 1 | 1 | 1 | image | | 3 | thumbtack | 3 | z | 1 | 64 | 1 | 2 | 1 | 1 | 1 | image | | 4 | thumbtack | 3 | x | 1 | 64 | 4 | 2 | 1 | 1 | 32 | image | | 4 | thumbtack | 3 | y | 1 | 64 | 2 | 2 | 1 | 1 | 4 | image | | 4 | thumbtack | 3 | z | 1 | 128 | 1 | 1 | 1 | 1 | 1 | image | | 5 | thumbtack | 3 | x | 1 | 128 | 4 | 1 | 1 | 1 | 16 | image | | 5 | thumbtack | 3 | y | 1 | 128 | 1 | 2 | 1 | 1 | 4 | image | | 5 | thumbtack | 3 | z | 1 | 128 | 2 | 1 | 1 | 16 | 1 | image | | 0 | dense | 1 | none | 4 | 8 | 64 | 2 | 1 | 1 | 1 | vec | | 1 | dense | 1 | x | 4 | 64 | 4 | 1 | 1 | 1 | 1 | vec | | 1 | dense | 1 | y | 1 | 128 | 1 | 2 | 1 | 4 | 4 | image | | 1 | dense | 1 | z | 1 | 128 | 4 | 1 | 1 | 8 | 1 | image | | 1 | dense | 2 | x | 1 | 128 | 4 | 1 | 1 | 16 | 1 | image | | 1 | dense | 2 | y | 1 | 128 | 2 | 1 | 1 | 1 | 32 | image | | 1 | dense | 2 | z | 1 | 128 | 2 | 1 | 1 | 16 | 1 | image | | 1 | dense | 3 | none | 1 | 32 | 2 | 2 | 2 | 1 | 16 | local | | 2 | dense | 1 | x | 1 | 128 | 1 | 2 | 1 | 8 | 2 | image | | 2 | dense | 1 | y | 1 | 128 | 2 | 1 | 1 | 32 | 1 | image | | 2 | dense | 1 | z | 1 | 128 | 2 | 2 | 2 | 64 | 1 | image | | 2 | dense | 2 | x | 1 | 16 | 4 | 2 | 1 | 2 | 32 | local | | 2 | dense | 2 | y | 1 | 64 | 1 | 2 | 2 | 1 | 32 | local | | 2 | dense | 2 | z | 1 | 32 | 4 | 1 | 2 | 2 | 1 | local | | 2 | dense | 3 | none | 1 | 32 | 8 | 1 | 1 | 1 | 64 | local | | 3 | dense | 1 | x | 1 | 32 | 1 | 8 | 1 | 16 | 1 | image | | 3 | dense | 1 | y | 1 | 64 | 8 | 1 | 1 | 32 | 1 | image | | 3 | dense | 1 | z | 1 | 16 | 2 | 32 | 1 | 8 | 4 | image | | 3 | dense | 2 | x | 1 | 16 | 8 | 2 | 1 | 1 | 64 | local | | 3 | dense | 2 | y | 1 | 64 | 1 | 2 | 2 | 1 | 16 | local | | 3 | dense | 2 | z | 1 | 32 | 4 | 1 | 1 | 4 | 1 | local | | 3 | dense | 3 | none | 1 | 32 | 8 | 2 | 1 | 1 | 32 | local | | 4 | dense | 1 | x | 1 | 64 | 1 | 2 | 1 | 1 | 1 | image | | 4 | dense | 1 | y | 1 | 64 | 4 | 1 | 1 | 32 | 1 | image | | 4 | dense | 1 | z | 1 | 8 | 1 | 16 | 1 | 1 | 8 | image | | 4 | dense | 2 | x | 1 | 8 | 16 | 2 | 1 | 1 | 64 | local | | 4 | dense | 2 | y | 1 | 64 | 1 | 2 | 1 | 1 | 32 | local | | 4 | dense | 2 | z | 1 | 32 | 8 | 1 | 2 | 2 | 1 | local | | 4 | dense | 3 | none | 1 | 64 | 8 | 2 | 1 | 1 | 64 | local | | 5 | dense | 1 | x | 1 | 64 | 1 | 2 | 1 | 1 | 1 | image | | 5 | dense | 1 | y | 1 | 32 | 8 | 1 | 1 | 32 | 1 | image | | 5 | dense | 1 | z | 1 | 16 | 4 | 8 | 1 | 1 | 16 | image | | 5 | dense | 2 | x | 1 | 8 | 8 | 4 | 1 | 2 | 32 | local | | 5 | dense | 2 | y | 1 | 64 | 1 | 2 | 1 | 1 | 16 | local | | 5 | dense | 2 | z | 1 | 32 | 8 | 1 | 2 | 2 | 1 | local | | 5 | dense | 3 | none | 1 | 4 | 4 | 32 | 1 | 1 | 1 | image | | 1 | star | 2 | x | 1 | 128 | 4 | 1 | 1 | 8 | 1 | image | | 1 | star | 2 | y | 1 | 128 | 4 | 1 | 1 | 8 | 1 | image | | 1 | star | 2 | z | 1 | 128 | 2 | 1 | 1 | 16 | 1 | image | | 1 | star | 3 | none | 1 | 128 | 4 | 1 | 1 | 8 | 1 | image | | 2 | star | 2 | x | 1 | 8 | 2 | 8 | 1 | 1 | 4 | image | | 2 | star | 2 | y | 1 | 128 | 2 | 2 | 1 | 128 | 1 | image | | 2 | star | 2 | z | 1 | 128 | 2 | 1 | 1 | 32 | 1 | image | | 2 | star | 3 | none | 1 | 16 | 2 | 8 | 1 | 1 | 1 | image | | 3 | star | 2 | x | 1 | 8 | 2 | 8 | 1 | 1 | 1 | image | | 3 | star | 2 | y | 1 | 128 | 2 | 2 | 2 | 32 | 1 | image | | 3 | star | 2 | z | 1 | 16 | 2 | 4 | 1 | 1 | 1 | image | | 3 | star | 3 | none | 1 | 16 | 4 | 2 | 1 | 16 | 2 | image | | 4 | star | 2 | x | 1 | 64 | 4 | 4 | 1 | 64 | 1 | image | | 4 | star | 2 | y | 1 | 16 | 1 | 16 | 1 | 8 | 4 | image | | 4 | star | 2 | z | 1 | 128 | 2 | 1 | 1 | 1 | 1 | image | | 4 | star | 3 | none | 1 | 256 | 4 | 1 | 1 | 1 | 128 | image | | 5 | star | 2 | x | 1 | 16 | 4 | 4 | 1 | 1 | 2 | image | | 5 | star | 2 | y | 1 | 16 | 2 | 8 | 1 | 1 | 1 | image | | 5 | star | 2 | z | 1 | 128 | 2 | 1 | 1 | 1 | 1 | image | | 5 | star | 3 | none | 1 | 16 | 2 | 4 | 1 | 1 | 2 | image | | 2 | diamond | 2 | x | 1 | 128 | 2 | 2 | 1 | 1 | 16 | image | | 2 | diamond | 2 | y | 1 | 128 | 2 | 1 | 1 | 64 | 1 | image | | 2 | diamond | 2 | z | 1 | 128 | 2 | 1 | 1 | 1 | 1 | image | | 2 | diamond | 3 | none | 1 | 128 | 1 | 2 | 1 | 1 | 1 | image | | 3 | diamond | 2 | x | 1 | 128 | 4 | 2 | 1 | 64 | 1 | image | | 3 | diamond | 2 | y | 1 | 64 | 1 | 2 | 2 | 1 | 32 | local | | 3 | diamond | 2 | z | 1 | 32 | 8 | 1 | 4 | 1 | 1 | local | | 3 | diamond | 3 | none | 1 | 32 | 2 | 2 | 1 | 1 | 1 | image | | 4 | diamond | 2 | x | 1 | 8 | 16 | 2 | 1 | 1 | 64 | local | | 4 | diamond | 2 | y | 1 | 32 | 1 | 8 | 2 | 1 | 32 | local | | 4 | diamond | 2 | z | 1 | 32 | 8 | 1 | 1 | 4 | 1 | local | | 4 | diamond | 3 | none | 1 | 64 | 4 | 2 | 1 | 1 | 4 | image | | 5 | diamond | 2 | x | 1 | 4 | 32 | 2 | 1 | 1 | 64 | local | | 5 | diamond | 2 | y | 1 | 32 | 1 | 4 | 2 | 1 | 16 | local | | 5 | diamond | 2 | z | 1 | 32 | 8 | 1 | 2 | 2 | 1 | local | | 5 | diamond | 3 | none | 1 | 128 | 2 | 1 | 1 | 1 | 8 | image | | 1 | no corners | 3 | none | 1 | 128 | 2 | 1 | 1 | 1 | 1 | image | | 2 | no corners | 2 | x | 1 | 64 | 2 | 4 | 1 | 1 | 1 | image | | 2 | no corners | 2 | y | 1 | 32 | 1 | 8 | 1 | 1 | 1 | image | | 2 | no corners | 2 | z | 1 | 32 | 4 | 1 | 2 | 2 | 1 | local | | 2 | no corners | 3 | none | 1 | 32 | 8 | 1 | 1 | 1 | 64 | local | | 3 | no corners | 2 | x | 1 | 16 | 8 | 2 | 1 | 1 | 64 | local | | 3 | no corners | 2 | y | 1 | 64 | 1 | 2 | 2 | 1 | 32 | local | | 3 | no corners | 2 | z | 1 | 32 | 4 | 1 | 1 | 4 | 1 | local | | 3 | no corners | 3 | none | 1 | 32 | 8 | 2 | 1 | 1 | 32 | local | | 4 | no corners | 2 | x | 1 | 8 | 16 | 2 | 1 | 1 | 64 | local | | 4 | no corners | 2 | y | 1 | 64 | 1 | 2 | 1 | 1 | 32 | local | | 4 | no corners | 2 | z | 1 | 32 | 8 | 1 | 2 | 2 | 1 | local | | 4 | no corners | 3 | none | 1 | 64 | 8 | 2 | 1 | 1 | 64 | local | | 5 | no corners | 2 | x | 1 | 8 | 8 | 4 | 1 | 2 | 32 | local | | 5 | no corners | 2 | y | 1 | 64 | 1 | 2 | 1 | 1 | 16 | local | | 5 | no corners | 2 | z | 1 | 32 | 8 | 1 | 1 | 4 | 1 | local | | 5 | no corners | 3 | none | 1 | 64 | 4 | 1 | 1 | 1 | 256 | local |
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