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Two related problems:

(%i1) log(log(x)) + exp(-x)$

(%i2) diff(%,x)/%$

(%i3) taylor(%,x,inf,2);

Invalid call to var-expand

(%i4) log(log(x)) + x$

(%i5) diff(%,x)/%$

(%i6) taylor(%,x,inf,2);

(%o6) 1/x+(1/log(x)+(-log(log(x))+zeroa+...)+...)/x^2+...

Isn't this unsimplified? I don't know what taylor

is trying to do with expressions similar to %o5.

Again, maybe it would be better if taylor gave up.