How do I find minima of a costly blackbox function given I know a point which is close to the minima using python?

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As stated in the question I need a way to optimise a costly blackbox function which I cannot compute too many times. Can you point me to some ways of doing this? While somehow closing in on the global minima would be best, it would also be okay if we can just find the local minima near the given point.

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