
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
In the rectangular coordinate system $xOy$, the parametric equations of line $l$ are given by $$\begin{cases} x=-1+ \frac { \sqrt {2}}{2}t \\ y= \frac { \sqrt {2}}{2}t\end{cases}$$ ($t$ is the parameter). Establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of the $x$-axis as the polar axis. The polar equation of curve $C$ is given by $\rho^2=\frac{12}{4\sin^{2}\theta +3\cos^{2}\theta }$, and line $l$ intersects curve $C$ at points $A$ and $B$.
(I) Find the standard equation of line $l$ and the rectangular equation of curve $C$.
(II) Find the length of the line segment $AB$.

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