
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
Translate the graph of the function \( y=\sin \left(2 x+\frac{\pi}{6}\right)-1 \) by the vector \( \vec{a}=\left(\frac{\pi}{6}, 1\right) \), then compress the x-coordinates of the points on the resulting graph to \(\frac{1}{2}\) of their original values. What is the function expression of the resulting graph?

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