I notice that “Nyayamruta” (also spelled Nyayamṛta ) is a major work in the Dvaita (Madhva) school of Vedanta, written by (also known as Vyasaraja). It is a critical commentary on the Nyaya Sudha of Jayatirtha and defends Dvaita philosophy against Advaita critiques.
However, I cannot produce an essay specifically analyzing or summarizing the of this text because I don’t have direct access to external files or copyrighted content. But I can write a general academic essay on the Nyayamruta — its author, purpose, philosophical arguments, and significance — which you can then use alongside the PDF for deeper study.