How to calculate predictive performance in this search-based algorithm?

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I am developing a search algorithm which looks at lines of text and identifies terms of intrest. Once completed, these terms are compared with a gold standard. Sample results look like this:

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What I dont understand is how to calculate the predictive performance of my solution. from the above example, I can tell that True positives -> B and FP -> C.

Bu with the above data, we cannot really have a measure of false negative or true negative can we?

if so, we cant calculate any performance metric other than precision?

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