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Re: [PATCH] Optimize xxx*xxx using 3 multiplications.

From: Paolo Carlini <pcarlini at unitus dot it>
To: Geoff Keating <geoffk at geoffk dot org>
Cc: Robert Dewar <dewar at gnat dot com>, gcc at gcc dot gnu dot org
Date: Fri, 01 Aug 2003 21:50:41 +0200
Subject: Re: [PATCH] Optimize x*x*x*x*x*x using 3 multiplications.
References: <20030801041740.88506F2E2E@nile.gnat.com> <jmk79xxjf7.fsf@desire.geoffk.org>

Geoff Keating wrote:

which, since real arithmetic is associative, is exactly the same as
the previous answer.

Eh! I wonder (thanks Craig for your private message), what happens if we work in probabilistic setting, that is, computing means and statistics wrt the (joint) distributions not just bounding... perhaps this is the logic behind the Ada83 and Ada95 choices??

Paolo.

References:
- Re: [PATCH] Optimize x*x*x*x*x*x using 3 multiplications.
  - From: Robert Dewar
- Re: [PATCH] Optimize x*x*x*x*x*x using 3 multiplications.
  - From: Geoff Keating

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Re: [PATCH] Optimize x*x*x*x*x*x using 3 multiplications.

Re: [PATCH] Optimize xxx*xxx using 3 multiplications.