
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

For any two points \( P_{1}(x_{1}, y_{1}) \) and \( P_{2}(x_{2}, y_{2}) \) in the Cartesian coordinate system, we define \( d(P_{1}, P_{2}) = |x_{1} - x_{2}| + |y_{1} - y_{2}| \) as the rectilinear distance between \( P_{1} \) and \( P_{2} \). If \( P_{0}(x_{0}, y_{0}) \) is a fixed point and \( Q(x, y) \) is a point on the curve \( F(x, y) = 0 \), we define the minimum value of \( d(P_{0}, Q) \) as the rectilinear distance from point \( P_{0} \) to the curve \( F(x, y) = 0 \). 

Find the rectilinear distance from \( M(-1,0) \) to the parabola \( x^{2} = y \).

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