Is the speed difference between an i386-optimized distro...

...and an i686-optimized distro noticeable on a really high-end computer (Pentium 3.2 GHz)?

Yes there are.
This is a very simplistic explanation so also very newbe can understand, there forgive me for the naive language.
Basically i386 processor compared to an i686 has a very limited set of instruction, so that mean for particular i686 instruction an i386 has to execute more instructions to obtain the same result of 1 instruction on i686.
If you compile for i386 even if the program run on i686 processor it will execute more instruction (because it contain them) than an optimized executable for i686.
Having an executable for i386 means also that it "contains more instruction" so it will use more ram to execute.
At speed execution level there are very discordant opinion.
There are people that say there are no difference, other says that there is a gain of 5-10%, few say that the performace are worst. Personally I think depends on the kind of use.
The problem is that is very difficoult to make a precise comparison.
To be sure you need 2 twins machine and use exaclty the same distribution, one compiled for i386 and the other compiled for i686 with exacly the same installation and configuration.
Also in this case depens on the kind of application you use.
For instance i686 has a subset of instruction for "multimedia" so probably if you use application that do a large use of these instruction the speed gain is more evident than if you compare vim use. 
On very hig end machine this difference should become less relevant since the execution time  became more little.
Example: on my 500MHZ processor an i386 program take  10 minutes to perform an operation so the equivalent i686 should take 1 minute less so 9 minute.
other machine, 10000MHz processor the same i386 program take 10 second to perform the same operation, so the i686 versione should take 1 second less that mean 9 second.
In both cases the gain is 10% but of course on shorter execution time the gain is less evident.
But thinkg to a lot of application running all togheter on the long time the sum of all the time gain make a difference.
So mostly depens on the use.
Anyway using i686 optimized code does not make think worse......

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