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I'm not sure how the critical point and optimal function value were found, but they do not make sense
f(x, y)≈-195.629028238419, at
x≈ ± 0.682584587365898
y≈ -0.36075325513719
The function value at that point is around -170. I found the experimental minimum through gradient descent to be
f(x, y) ≈ -186.4112127, at
x≈ ± 8e-10
y≈ -0.0068
Although I don't trust precisely the x coordinate since the gradient diverges around 0 and floating point approximation issues arise.
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