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Machine learning algorithm to find a "complicated" formula?

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Hello. As a newbie to machine learning problem that fits these facts about my data:

1) My inputs are all numbers and my output is a number. 2) I have many features/inputs of varying importance and varying interrelatedness. 3) I have basically infinite training data (sets of both input and the correct output) 4) A linear regression would be absurdly inaccurate for almost all cases because of how little the true model looks like a line or even a single continuous function. 5) I only need to get the formula once.

Are any machine learning approaches suited for these cases out of the box?

submitted by Jeremymia
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