Stony meteorites are comprised of mostly pyroxenes, olivine and Fe-Ni composites. These are the materials which comprise the majority of the Earth inner/outer mantles.
https://books.google.com/books?id=QDU7AAAAIAAJ&pg=PA152&hl=en#v=onepage&q&f=false
So, to determine how much heat was released when these compounds formed, given we can assume specific rates of reaction, we must find their enthalpies of formation. This will tell us how hot the Earth really was when these reactions were taking place, and can set a lower limit on how much atmosphere was needed to shield the reactions from outside influences. It is predicted that the Earth was a much larger gas giant, and even a fully ionized star at one point, this is just one step to the process of reverse engineering. Here are iron/calcium/magnesium pyroxenes and their chemical makeups:
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