How to get hyphenation output?

I'm writing a thesis in Icelandic and LaTeX doesn't know how to break the words correct. I'm trying to create a list of words it breaks and correct them. I have over 100 pages of text and I want to be able to get an list of all the words which is hyphenated.

\documentclass[a4paper,12pt,icelandic]{report}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{palatino,babel,setspace}
     \hyphenation{Eyja-fjalla-jökull}
     \hyphenation{Hall-orms-staðar-skógur}
     \hyphenation{norður-ljós}

\begin{document}
text here about Eyjafjallajökull.
Text here about Hallormsstaðarskógur.
Text here about norðurljósin.
\end{document}

There are hundreds of words broken incorrectly. I would like to get a list of the words it breaks to define a new hyphenation for them. The words mentioned in the code is just some examples. I'm not really using those in the thesis and the babel package may break them correctly.

I have a thesis with approx. 40.000 words. I just wanted a list of the words that LaTeX breaks. - So I can put them inside:

"\babelhyphenation[icelandic]{ Word list here }

where I define myself the proper hyphenations. I could just scroll down every page and write the word manually. But I'm just trying to save me some time. If it would be possible.

I have no interest in taking a look at how each word is currently defined to break.