
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 Cartesian coordinate system $xOy$, it is known that the hyperbola $C$ shares a common asymptote with the hyperbola $x^{2}- \frac {y^{2}}{3}=1$, and passes through the point $P(-2, \sqrt {3})$. The focal length of the hyperbola $C$ is __________.

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