
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
Rotate the line $x+2y+1=0$ clockwise around its intersection point with the y-axis by $\frac{\pi}{4}$ to get the line $l$. What is the equation of line $l$?

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