
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 the function $y=A\sin (\omega x+ \phi )\left(A > 0, -\frac{\pi}{2} < \phi < 0, \omega > 0\right)$ with a minimum value of $-2$ and a period of $\frac{2\pi}{3}$, and it passes through the point $(0, -\sqrt{2})$, find the analytical expression of this function.

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