NFAs are cheaper to construct, but have a O(n*m) matching time, where n is the size of the input and m is the size of the state graph. NFAs are often seen as the reasonable middle ground, but i disagree and will argue that NFAs are worse than the other two. they are theoretically “linear”, but in practice they do not perform as well as DFAs (in the average case they are also much slower than backtracking). they spend the complexity in the wrong place - why would i want matching to be slow?! that’s where most of the time is spent. the problem is that m can be arbitrarily large, and putting a large constant of let’s say 1000 on top of n will make matching 1000x slower. just not acceptable for real workloads, the benchmarks speak for themselves here.
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Lean already produces performance comparable to Haskell and OCaml. When higher performance is essential, Lean models can be translated into efficient imperative code embedded in Lean, with clean semantics and without C’s undefined behavior. We are actively working on closing the remaining gap for performance-critical code. The real comparison is not Lean versus C. It is verified code versus unverified code.,更多细节参见爱思助手下载最新版本
对我来说,重要的是不断探索速度的各种可能性。