# Technical Data Extraction: Task Accuracy vs. Task Length ## 1. Component Isolation * **Header:** None present. * **Main Chart:** A 2D line graph plotting "Task Accuracy" against "Task Length". It features a grid with dashed lines and two distinct data series. * **Footer (Legend):** Located at the bottom of the image, containing two labeled color swatches. --- ## 2. Axis and Metadata Extraction * **Y-Axis Label:** Task Accuracy * **Y-Axis Scale:** 0.0 to 1.0 (increments of 0.2 marked, with minor ticks every 0.1). * **X-Axis Label:** Task Length * **X-Axis Scale:** 0 to 200 (increments of 100 marked, with minor ticks every 50). * **Grid:** Horizontal and vertical dashed lines at major intervals (0.2, 0.4, 0.6, 0.8 on Y; 100 on X). --- ## 3. Legend and Series Identification The legend is located at the bottom of the frame. | Color | Label | Spatial Grounding [x, y] | | :--- | :--- | :--- | | **Dark Grey** | Majority Vote [No CoT] (N=100) | Bottom Left | | **Blue** | Chain of Thought Enabled | Bottom Right | --- ## 4. Trend Verification and Data Extraction ### Series 1: Majority Vote [No CoT] (N=100) * **Visual Trend:** The line starts at a low accuracy (approx. 0.2) and immediately drops sharply to 0.0 within a very short task length (less than 10). * **Key Data Points:** * **Length 0:** ~0.21 Accuracy * **Length ~5:** 0.0 Accuracy * **Observation:** This method fails almost immediately as task complexity/length increases. ### Series 2: Chain of Thought Enabled * **Visual Trend:** The line starts at perfect accuracy (1.0) and exhibits a gradual, "stair-step" downward slope as task length increases. It maintains high performance throughout the entire range shown. * **Key Data Points (Approximate):** * **Length 0:** 1.0 Accuracy * **Length 50:** ~0.92 Accuracy * **Length 100:** ~0.84 Accuracy * **Length 150:** ~0.78 Accuracy * **Length 200:** ~0.74 Accuracy * **Observation:** Accuracy remains above 70% even at the maximum task length of 200, demonstrating significant robustness compared to the "No CoT" baseline. --- ## 5. Summary of Findings The chart illustrates a significant performance gap between two reasoning methods. The **Majority Vote [No CoT]** approach is unable to handle tasks beyond a negligible length, dropping to zero accuracy almost instantly. In contrast, the **Chain of Thought Enabled** approach shows a high degree of resilience; while accuracy does degrade as the task length increases, it follows a slow, linear-like decay, retaining roughly 74% accuracy at a task length of 200.