calling Java non static methods from XSLT

Dear All,
we are having the following situation..
We are working with the some Stock Market Data where some of the
values we need are done by a complex algorithm that is written in Java
, typically for the forcast etc. The XSLTs are all compiled .. We
instantiate the object within the XSLT using the new() and then call
the Java methods of that object, which  returns some statistical
information.
Which one of the assumptions are correct? I  believe the assumption1
to be true but checking ..
Scenario :
I am using the XSLT on Trillions of Nodes .My situation demands that I
treat each Node individually and run the XSLT on each of these nodes
separately. This means these nodes will be diced first and then , the
XSLT will be called on them

Assumption1
==========
there will be trillion objects created, with each invocation of the
XSLT.  and the XSLTs being compiled has nothing to do with the Object
creation, as the objects will be created at run time?

Assumption2
==========

Since I have precompiled the XSLTs, it should not create trillions of
java objects

Any pointers please>

Dr.Tapaal