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Input interpretation:

maximize | x (1 - x) e^x


Global maximum:

max{x (1 - x) e^x} = -1\/2 (sqrt(5) - 1) (1\/2 (sqrt(5) - 1) - 1) e^(1\/2 (sqrt(5) - 1)) at x = sqrt(5)\/2 - 1\/2

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