I tried on a different machine with Sage Version 6.5, Release Date: 
2015-02-17   and I get the same behaviour described in the original post. 
Where parsing a string and evaluating returns different results than using 
the resulted sage expression.

On Thursday, 12 March 2015 17:00:45 UTC-4, Nils Bruin wrote:
>
> On Thursday, March 12, 2015 at 1:00:28 PM UTC-7, M M wrote:
>>
>> Thanks so much for all the efforts for making sage output consistent 
>> results for the numerical approximation. However, the main problem I had 
>> was the fact that Sage returns different answers when I preparse the string 
>> of the same sage expression as in the examples of the original post.
>>
> I was not able to replicate that behaviour on a recent build. 
>

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