# Technical Document Extraction: Failure Analysis Chart ## 1. Component Isolation * **Header:** Contains the figure title "(b) Samples failed at each step". * **Main Chart Area:** A grouped bar chart showing the distribution of failures across four sequential steps and a final "Correct" category. * **Legend:** Located in the top-center/right of the plot area, identifying two methodologies. * **Axes:** * **Y-axis:** Numerical scale representing a ratio or percentage (0.0 to 0.6+). * **X-axis:** Categorical labels representing steps (1, 2, 3, 4) and the outcome "Correct". ## 2. Legend and Metadata * **Legend Position:** [x: ~0.55, y: ~0.85] (Normalized coordinates relative to chart area). * **Series 1:** * **Label:** CoT (Chain of Thought) * **Color:** Burnt Orange / Terracotta * **Series 2:** * **Label:** ToT (b=5) (Tree of Thoughts with breadth/branching factor of 5) * **Color:** Sage Green ## 3. Data Extraction and Trend Verification ### Trend Analysis * **CoT (Orange):** Shows a "Front-Loaded Failure" trend. The vast majority of failures occur at Step 1, with a significant drop-off at Step 2, and negligible failures in Steps 3 and 4. The "Correct" rate is very low. * **ToT (b=5) (Green):** Shows a "High Success" trend. Failures are distributed relatively evenly and at low levels across all steps (1-4), with the overwhelming majority of samples reaching the "Correct" state. ### Data Table (Estimated Values) Values are extracted based on the y-axis grid lines (0.0, 0.2, 0.4, 0.6). | Step / Category | CoT (Orange) | ToT (b=5) (Green) | | :--- | :--- | :--- | | **1** | ~0.62 | ~0.10 | | **2** | ~0.32 | ~0.04 | | **3** | ~0.005 | ~0.06 | | **4** | ~0.01 | ~0.06 | | **Correct** | ~0.04 | ~0.74 | ## 4. Detailed Component Description * **Step 1:** CoT experiences its highest failure rate here (over 60%). ToT has a much lower failure rate (approx. 10%). * **Step 2:** CoT failure rate drops to approximately 32%. ToT failure rate is at its lowest point (approx. 4%). * **Step 3:** CoT failures are nearly non-existent. ToT failures show a slight uptick to approx. 6%. * **Step 4:** CoT failures remain negligible (approx. 1%). ToT failures remain steady at approx. 6%. * **Correct:** This represents the success rate. ToT (b=5) significantly outperforms CoT, with roughly 74% of samples succeeding compared to approximately 4% for CoT. ## 5. Summary of Findings The chart demonstrates that the **ToT (b=5)** method is substantially more robust than the **CoT** method for the task described. CoT is prone to "early-exit" failures, with nearly 95% of all samples failing within the first two steps. Conversely, ToT maintains a high survival rate through the steps, resulting in a success rate that is roughly 18 times higher than that of CoT.

# Technical Document Extraction: Bar Chart Analysis ## Chart Title **(b) Samples failed at each step** ## Legend - **CoT**: Orange bars - **ToT (b=5)**: Green bars ## Axis Labels - **X-Axis**: Steps (1, 2, 3, 4, Correct) - **Y-Axis**: Decimal scale (0.0 to 0.6, increments of 0.2) ## Key Data Points 1. **Step 1** - CoT: ~0.6 (highest failure rate) - ToT (b=5): ~0.1 2. **Step 2** - CoT: ~0.3 - ToT (b=5): ~0.05 3. **Step 3** - CoT: ~0.01 (near-zero failure) - ToT (b=5): ~0.05 4. **Step 4** - CoT: ~0.01 (near-zero failure) - ToT (b=5): ~0.05 5. **Correct** - CoT: ~0.03 - ToT (b=5): ~0.7 (highest failure rate in "Correct" category) ## Observations - **CoT** shows significant failure rates in early steps (1 and 2), with near-zero failures in later steps (3, 4, Correct). - **ToT (b=5)** exhibits minimal failures in steps 1–4 but a sharp increase in the "Correct" category (~0.7). - The "Correct" category for ToT (b=5) has the highest failure rate overall, exceeding CoT's peak at Step 1. ## Structural Notes - Bars are grouped by step, with CoT (orange) and ToT (green) differentiated by color. - No data table present; values are inferred from bar heights relative to the y-axis scale.