
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
Two points $A(x_1, y_1)$ and $B(x_2, y_2)$ are chosen on the graph of the function $f(x) = e^x$, with $x_1 < x_2$. The points $C$ and $D$ trisect the segment $\overline{AB}$, with $AC < CD < DB$. If a horizontal line is drawn through both C and D, where each line intersects the curve again at $E(x_3, y_3)$ and $F(x_4, y_4)$ respectively, find $x_3$ and $x_4$ if $x_1 = 0$ and $x_2 = 2$.

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