
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that \( x \) and \( y \) are in the interval \((-2, 2)\), and \( x y = -1 \), find the minimum value of the function \( u = \frac{4}{4 - x^2} + \frac{9}{9 - y^2} \).

Present the answer in LaTex format: \boxed{Your answer}
user