I need to understand how Mathematica approximates symbolic numbers.
I have an awful symbolic number to compute.
When I do
Mathematica gives me
which is not at all the number I am expecting.
But when I do
which is the correct first digit!
I understand that Mathematica computes with more precision in the second case than in the first. But I have asked for only 1 digit of precision, so I am puzzled why it works.
I read the documentation but it didn't answer my questions (I think I did'nt understood the documentation very well).
Could you help me to understand how Mathematica computes in the first case and in the second?
If you want to reproduce this, I suggest you to download my notebook (I am sorry, the variable is totally awful, but I don't have a simpler variable that will show this behavior. This variable is the result of a computation of a non analytic function).
I didn't copy the variable here because it is like 10 lines long so it would be too long for this post.
Link for the notebook => https://ufile.io/r5ply