This chapter summarizes the basic concepts and nuances of evaluating algorithms in R. We covered the conceptual theory of memory management and system runtime in R. We discussed the best, worst, and average-case scenarios to evaluate the performance of algorithms. In addition, we also looked into the trade-off between a computer's configuration and algorithm's system runtime, algorithm asymptotic analysis, simplifying and classifying rules, and computational evaluation of programs. The next chapter will cover fundamental data structure and the concepts of lists in R.