\n ## Scatter Plot: Accuracy vs. Number of Steps ### Overview This image presents a scatter plot comparing the accuracy of different methods against the number of steps taken. The plot displays data points for "Ours", "DetermLR", "CR", "CoT-SC", and "ToT". The x-axis represents the number of steps, and the y-axis represents the accuracy in percentage. ### Components/Axes * **X-axis:** Number of Steps (ranging from approximately 12 to 24). * **Y-axis:** Accuracy (%) (ranging from approximately 65% to 95%). * **Data Series/Labels:** * "Ours" (represented by a red star) * "DetermLR" (represented by blue circles) * "CR" (represented by blue circles) * "CoT-SC" (represented by blue circles) * "ToT" (represented by blue circles) * **Legend:** Located in the top-left corner, indicating the color and label for "Ours". ### Detailed Analysis * **"Ours"**: A single data point at approximately (12, 86%). * **"DetermLR"**: A data point at approximately (16, 79%). * **"CR"**: A data point at approximately (16, 71%). * **"CoT-SC"**: A data point at approximately (16, 69%). * **"ToT"**: A data point at approximately (24, 70%). ### Key Observations * "Ours" achieves the highest accuracy at 12 steps. * The accuracy of "DetermLR", "CR", "CoT-SC", and "ToT" are all lower than "Ours". * "CoT-SC" has the lowest accuracy among the methods evaluated. * "ToT" requires 24 steps to achieve an accuracy of approximately 70%. * The methods "DetermLR", "CR", "CoT-SC" all have the same number of steps (16). ### Interpretation The data suggests that the "Ours" method outperforms the other methods ("DetermLR", "CR", "CoT-SC", and "ToT") in terms of accuracy, achieving a significantly higher accuracy with fewer steps. The other methods require more steps to achieve lower accuracy. This could indicate that "Ours" is a more efficient or effective method for the task being evaluated. The fact that "CoT-SC" consistently has the lowest accuracy suggests it may be less suitable for this task. The relatively low accuracy of "ToT" even at 24 steps suggests it may not be a scalable or efficient solution. The plot demonstrates a trade-off between the number of steps and accuracy, with "Ours" offering the best balance.