
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 $l_{1}$ be the tangent line to the curve $f(x)=e^{x}+x$ (where $e$ is the base of the natural logarithm) and let the equation of line $l_{2}$ be $2x-y+3=0$. If $l_{1} \parallel l_{2}$, then the distance between line $l_{1}$ and $l_{2}$ is ______.

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