What's the best algorithm for evaluating a mathematical expression? I'd like to be able to optimize this a little in the sense that I may have one formula with various variables, which I may need to evaluate hundreds of times using different variables. So basically if I can initially parse the formula so that it is optimized in some way, and I can then pass in the variables to this optimized version as many times as I need, each time it produces a result for me.

I'll be writing this in either Delphi or C#. I have already written something similar by using the shunting yard algorithm, but each time I need to calculate the same formula, I'm having to go through the parsing stage. There must be a better way to do this.

c# algorithm delphi math parsing
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