
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 $(xOy)$, there is a point $A(1,0)$. The graph of the function $y=e^{x}$ intersects the $y$-axis at point $B$. $P$ is any point on the graph of the function $y=e^{x}$. The minimum value of the dot product $\overrightarrow{OP} \cdot \overrightarrow{AB}$ is _______.

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