On Tuesday, 15 September 2015 at 11:13:59 UTC, Ola Fosheim Grøstad wrote:
On Tuesday, 15 September 2015 at 10:38:23 UTC, ponce wrote:
On Tuesday, 15 September 2015 at 09:35:36 UTC, Ola Fosheim Grøstad wrote:
http://sites.ieee.org/scv-cs/files/2013/03/Right-SizingPrecision1.pdf

That's a pretty convincing case. Who does it :)?

I'm not convinced. I think they are downplaying the hardware difficulties. Slide 34:

Disadvantages of the Unum Format
* Non-power-of-two alignment. Needs packing and unpacking, garbage collection.

I think that disadvantage is so enormous that it negates most of the advantages. Note that in the x86 world, unaligned memory loads of SSE values still take longer than aligned loads. And that's a trivial case!

The energy savings are achieved by using a primitive form of compression. Sure, you can reduce the memory bandwidth required by compressing the data. You could do that for *any* form of data, not just floating point. But I don't think anyone thinks that's worthwhile.

The energy comparisons are plain dishonest. The power required for accessing from DRAM is the energy consumption of a *cache miss* !! What's the energy consumption of a load from cache? That would show you what the real gains are, and my guess is they are tiny.

So:
* I don't believe the energy savings are real.
* There is no guarantee that it would be possible to implement it in hardware without a speed penalty, regardless of how many transistors you throw at it (hardware analogue of Amdahl's Law)
* but the error bound stuff is cool.


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