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5. [20 marks] Arithmetic Intensity. The Intel Core i7 920 has a peak floating-point performance of 42.66 GFs/s, and a peak memory bandwidth of 16.4
5. [20 marks] Arithmetic Intensity. The Intel Core i7 920 has a peak floating-point performance of 42.66 GFs/s, and a peak memory bandwidth of 16.4 GBs/s. The Nvidia GTX 2880 has a peak floating-point performance of 78 GFs/s, and a peak memory bandwidth of 127 GBs/s. Every program has an arithmetic intensity (ai), measured in flops/byte, that indicates how much performance is achievable for a given peak bandwidth. The equation is: sustained GFs/s = min{ ai*bw, peak GFs/s }. a) Suppose an application has a arithmetic intensity of 0.5 Fs/B. What sustained performance will it have on the Intel machine? What is the bottleneck? b) Suspose an application has an arithmetic intensity of 4 Fs/B. What sustained performance will it have on the Intel machine? What is the bottleneck? Suppose an application has a arithmetic intensity of 0.5 Fs/B. What sustained performance will it have on the Nvidia machine? What is the bottleneck? d) Suppose an application has an arithmetic intensity of 1 F/B. On which machine would you achieve greater sustained performance? Justify your
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