
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 \(x= -\frac{\pi}{8}\) and \(x_0\) are respectively a symmetry axis and a zero point of the function \(f(x) = A \sin(\omega x + \phi)\) (\(A > 0, \omega > 0, |\phi| < \frac{\pi}{2}\)), and that the minimum value of \(|x_0 + \frac{\pi}{8}|\) is \(\frac{\pi}{4}\), determine the value of \(\phi\).

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