
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 parametric equation of line $l$ as $\begin{cases} x=-1+ \frac { \sqrt {2}}{2}t \\ y= \frac { \sqrt {2}}{2}t \end{cases}$ (where $t$ is the parameter), and the polar equation of curve $C$ is $\rho\cos ^{2}\theta=\sin \theta$. Establish a Cartesian coordinate system with the pole as the origin and the polar axis as the positive direction of the $x$-axis. Let point $M(-1,0)$, line $l$ intersects curve $C$ at points $A$ and $B$.  
$(1)$ Write the polar equation of line $l$ and the ordinary equation of curve $C$;  
$(2)$ The lengths of segments $MA$ and $MB$ are denoted as $|MA|$ and $|MB|$, respectively. Find the value of $|MA|\cdot|MB|$.

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