Initial download size

I'm using GXT/GWT in  a project.  with help of  code splitting i could reduce initial download size to 2232796 bytes.
However i think it is still too big for initial download.
after inspecting compile reports i found that there are some classes /packages in jre and gwtlang
like java.util.AbstractHashMap or java.lang.Math
i've never used them in my project. there are also some gwt / gxt classes i've never used but they got loaded in initial download.

i have some questions and i would be so thankful if anyone help me out.
is gwt compiler compiles every packages in jre or just compiles those which are implemented ??
i have just a simple login page which is split from rest of the code. how much the minimum initial download size do you expect i can reach(what is the normal download size for a simple project)?

thanks

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