
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
For the function $y=\sin x$, if we reduce the abscissa of each point on its graph to half of its original value (while keeping the ordinate unchanged), and then shift the graph to the right by $\frac{π}{6}$ units, we obtain the graph of a new function $y=f\left(x\right)$. Find the analytical expression of the function $f\left(x\right)$.

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