'Are there any alternatives to Asymptotic Notation?

I found this definition :

Asymptotic Notations are languages to analyze an algorithm's running time by identifying its behavior as the input size for the algorithm increases. This is also known as an algorithm's growth rate.

This got me thinking, are there any other notations, or is there even a possibility of having any metric, other than input size, to analyze an algorithm?

algorithmtime-complexitybig-ocomplexity-theory


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