
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
Let $P$ be a moving point on the curve $\begin{cases} x= \frac{ \sqrt{2}}{2}\sec \theta \\ y=\tan \theta \end{cases}$ (where $\theta$ is a parameter), $O$ be the coordinate origin, and $M$ be the midpoint of line segment $OP$. Then the ordinary equation of the trajectory of point $M$ is $\_\_\_\_\_\_$.

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