[Maxima] Precision problem in algsys

[Richard Fateman]

Note that

(%i12) fpprec:100;
(%i13) 1.0/3.0,bfloat;
(%o13) 3.33333333333333314829616256247390992939472198486328125b-1

So your example   algsys(..), bfloat;
 is merely doing the computation in ordinary floating point and 
afterward converting it to bigfloats.

I think that algsys in your example is using allroots, which is 
apparently unaffected by algepsilon and also unaffected
by fpprec. I don't know how algepsilon is supposed to work. The document 
doesn't say.  My guess is that
it doesn't work at all, since realroots and allroots, which are used, do 
not look at it.