## Line Charts: Performance of Prompting Methods on Various Tasks ### Overview The image presents a series of five line charts comparing the performance of "Standard prompting" and "Chain of thought prompting" methods across different tasks: GSM8K, MultiArith (MAWPS), Sports Understanding, Coin Flip, and Last Letter Concatenation. The charts illustrate how the solve rate (%) changes with the number of few-shot exemplars. ### Components/Axes * **Title:** Performance of Prompting Methods on Various Tasks (inferred) * **X-axis:** Number of few-shot exemplars (values: 1, 2, 4, 6, 8 for the first four charts; 1, 2, 3, 4 for the last chart) * **Y-axis:** Solve rate (%) (ranges vary for each chart, but all start at 0) * GSM8K: 0 to 15 * MultiArith (MAWPS): 0 to 60 * Sports Understanding: 0 to 100 * Coin Flip: 0 to 100 * Last Letter Concatenation: 0 to 100 * **Legend (top-center):** * Black line with circles: Standard prompting * Blue line with circles: Chain of thought prompting * **Chart Titles (top of each chart):** * GSM8K * MultiArith (MAWPS) * Sports Understanding * Coin Flip * Last Letter Concatenation ### Detailed Analysis **1. GSM8K** * **Standard prompting (black):** Relatively flat, hovering around 6% solve rate. * (1, ~5%), (2, ~6%), (4, ~6%), (6, ~6%), (8, ~6%) * **Chain of thought prompting (blue):** Increases sharply with more exemplars, reaching a plateau around 15%. * (1, ~5%), (2, ~11%), (4, ~14%), (6, ~15%), (8, ~15%) **2. MultiArith (MAWPS)** * **Standard prompting (black):** Low and relatively constant, around 7-8%. * (1, ~8%), (2, ~8%), (4, ~8%), (6, ~8%), (8, ~8%) * **Chain of thought prompting (blue):** Increases with more exemplars, reaching a plateau around 45-50%. * (1, ~24%), (2, ~35%), (4, ~40%), (6, ~48%), (8, ~45%) **3. Sports Understanding** * **Standard prompting (black):** Slightly increasing, from around 55% to 60%. * (1, ~54%), (2, ~55%), (4, ~57%), (6, ~60%), (8, ~60%) * **Chain of thought prompting (blue):** High and relatively constant, around 85-90%. * (1, ~80%), (2, ~88%), (4, ~88%), (6, ~88%), (8, ~88%) **4. Coin Flip** * **Standard prompting (black):** Relatively flat, hovering around 50-55%. * (1, ~50%), (2, ~50%), (4, ~50%), (6, ~52%), (8, ~50%) * **Chain of thought prompting (blue):** Relatively flat, hovering around 75-80%, with a spike at 8 exemplars. * (1, ~75%), (2, ~78%), (4, ~78%), (6, ~78%), (8, ~98%) **5. Last Letter Concatenation** * **Standard prompting (black):** Very low and relatively constant, around 2-3%. * (1, ~2%), (2, ~2%), (3, ~3%), (4, ~3%) * **Chain of thought prompting (blue):** Starts around 80% and decreases slightly, then stabilizes around 75-80%. * (1, ~80%), (2, ~73%), (3, ~75%), (4, ~78%) ### Key Observations * Chain of thought prompting generally outperforms standard prompting across all tasks. * The impact of increasing the number of few-shot exemplars varies by task and prompting method. For some tasks (e.g., GSM8K, MultiArith), chain of thought prompting benefits significantly from more exemplars. * For some tasks (e.g., Sports Understanding, Coin Flip), chain of thought prompting achieves high performance even with few exemplars. * Last Letter Concatenation is the only task where the performance of chain of thought prompting decreases slightly with more exemplars. * Standard prompting shows minimal improvement with increasing exemplars in most tasks. ### Interpretation The data suggests that "Chain of thought prompting" is a more effective strategy than "Standard prompting" for the tasks evaluated. The effectiveness of "Chain of thought prompting" is particularly evident in tasks like GSM8K and MultiArith, where performance improves significantly with more examples. This indicates that providing the model with a chain of reasoning steps helps it to solve complex problems more effectively. The relatively flat performance of "Standard prompting" across different numbers of exemplars suggests that simply providing more examples without guiding the model's reasoning process is not sufficient for improving performance on these tasks. The slight decrease in performance of "Chain of thought prompting" on the Last Letter Concatenation task with more exemplars could indicate that the model is overfitting to the training data or that the task is not well-suited for this prompting method.

## Line Chart: Performance Comparison of Prompting Techniques ### Overview The image presents a series of five line charts, each comparing the performance of "Standard prompting" and "Chain of thought prompting" across different tasks: GSM8K, MultiArith (MAWPS), Sports Understanding, Coin Flip, and Last Letter Concatenation. The performance metric is "Solve rate (%)" plotted against the "Number of few-shot exemplars". ### Components/Axes * **X-axis:** "Number of few-shot exemplars". Scale ranges from 0 to 12 for GSM8K, MultiArith, Sports Understanding, and Coin Flip, and from 0 to 4 for Last Letter Concatenation. * **Y-axis:** "Solve rate (%)". Scale ranges from 0 to 100 for all charts. * **Legend:** Located in the top-right corner. * Black line with circle markers: "Standard prompting" * Blue line with circle markers: "Chain of thought prompting" * **Chart Titles:** Each chart is labeled with the name of the task it represents (GSM8K, MultiArith (MAWPS), Sports Understanding, Coin Flip, Last Letter Concatenation). ### Detailed Analysis or Content Details **1. GSM8K:** * **Standard prompting (Black):** Starts at approximately 2% solve rate at 1 exemplar, gradually increasing to around 8% at 8 exemplars. The line is relatively flat. * **Chain of thought prompting (Blue):** Starts at approximately 5% solve rate at 1 exemplar, and increases rapidly to around 16% at 8 exemplars. The line slopes upward significantly. **2. MultiArith (MAWPS):** * **Standard prompting (Black):** Starts at approximately 10% solve rate at 1 exemplar, increasing to around 22% at 8 exemplars. * **Chain of thought prompting (Blue):** Starts at approximately 15% solve rate at 1 exemplar, and increases rapidly to around 60% at 8 exemplars. The line slopes upward significantly. **3. Sports Understanding:** * **Standard prompting (Black):** Starts at approximately 30% solve rate at 1 exemplar, increasing to around 65% at 8 exemplars. * **Chain of thought prompting (Blue):** Starts at approximately 60% solve rate at 1 exemplar, and increases to around 95% at 8 exemplars. The line is relatively flat at higher exemplar counts. **4. Coin Flip:** * **Standard prompting (Black):** Starts at approximately 50% solve rate at 1 exemplar, decreasing to around 55% at 8 exemplars. * **Chain of thought prompting (Blue):** Starts at approximately 50% solve rate at 1 exemplar, and increases rapidly to around 95% at 8 exemplars. The line slopes upward significantly. **5. Last Letter Concatenation:** * **Standard prompting (Black):** Remains relatively flat at approximately 10% solve rate across all exemplar counts (1-4). * **Chain of thought prompting (Blue):** Remains relatively flat at approximately 70% solve rate across all exemplar counts (1-4). ### Key Observations * Chain of thought prompting consistently outperforms standard prompting across all tasks. * The performance improvement from chain of thought prompting is most pronounced in GSM8K, MultiArith, and Coin Flip, where the solve rate increases significantly with more exemplars. * For Sports Understanding and Last Letter Concatenation, chain of thought prompting starts with a higher solve rate and shows less improvement with increasing exemplars. * Standard prompting shows minimal improvement with increasing exemplars for Last Letter Concatenation. * Coin Flip shows a slight decrease in performance for standard prompting as the number of exemplars increases. ### Interpretation The data strongly suggests that chain of thought prompting is a more effective technique than standard prompting for improving the solve rate of these tasks. The benefit of chain of thought prompting is particularly noticeable when the task requires more complex reasoning or problem-solving, as seen in GSM8K and MultiArith. The relatively flat performance of standard prompting on Last Letter Concatenation suggests that this task may be simpler or less sensitive to the prompting technique used. The slight decrease in performance for standard prompting on Coin Flip with more exemplars could indicate overfitting or a negative correlation between exemplars and performance for this specific task. Overall, the charts demonstrate the power of prompting strategies in enhancing the capabilities of language models. The consistent outperformance of chain of thought prompting highlights the importance of guiding the model's reasoning process.

## Line Graphs: Solve Rate Comparison Across Prompting Methods ### Overview The image contains five line graphs comparing the performance of two prompting methods—**Standard prompting** (black line) and **Chain of thought prompting** (blue line)—across five tasks: **GSM8K**, **MultiArith (MAWPS)**, **Sports Understanding**, **Coin Flip**, and **Last Letter Concatenation**. The x-axis represents the number of few-shot exemplars (0–8 for most tasks, 0–4 for Last Letter Concatenation), and the y-axis shows solve rate (%) (0–100). The legend is positioned at the top-center of the image. --- ### Components/Axes - **Legend**: - **Standard prompting**: Black line with circular markers. - **Chain of thought prompting**: Blue line with circular markers. - **X-axis**: - Labeled "Number of few-shot exemplars" with values: 0, 1, 2, 3, 4, 6, 8 (Last Letter Concatenation ends at 4). - **Y-axis**: - Labeled "Solve rate (%)" with values ranging from 0 to 100 (task-dependent scaling). - **Graph Titles**: - Each graph is labeled with its respective task (e.g., "GSM8K", "MultiArith (MAWPS)"). --- ### Detailed Analysis #### 1. **GSM8K** - **Chain of thought prompting** (blue): - Starts at ~5% (1 exemplar), rises to ~15% (8 exemplars). - **Standard prompting** (black): - Remains flat at ~5% across all exemplars. #### 2. **MultiArith (MAWPS)** - **Chain of thought prompting** (blue): - Starts at ~20% (1 exemplar), peaks at ~45% (6 exemplars), drops to ~40% (8 exemplars). - **Standard prompting** (black): - Flat at ~5% across all exemplars. #### 3. **Sports Understanding** - **Chain of thought prompting** (blue): - Starts at ~75% (1 exemplar), fluctuates between 75–80% up to 8 exemplars. - **Standard prompting** (black): - Starts at ~50% (1 exemplar), peaks at ~55% (6 exemplars), drops to ~50% (8 exemplars). #### 4. **Coin Flip** - **Chain of thought prompting** (blue): - Starts at ~75% (1 exemplar), fluctuates between 70–80% up to 8 exemplars. - **Standard prompting** (black): - Starts at ~50% (1 exemplar), peaks at ~55% (6 exemplars), drops to ~50% (8 exemplars). #### 5. **Last Letter Concatenation** - **Chain of thought prompting** (blue): - Starts at ~75% (1 exemplar), drops to ~70% (2 exemplars), rises to ~75% (4 exemplars). - **Standard prompting** (black): - Starts at ~0% (1 exemplar), peaks at ~5% (3 exemplars), drops to ~2% (4 exemplars). --- ### Key Observations 1. **Chain of thought prompting** consistently outperforms **Standard prompting** in **GSM8K** and **MultiArith**, showing significant improvement with more exemplars. 2. **Sports Understanding** and **Coin Flip** have high baseline solve rates for Chain of thought prompting (~75%), suggesting these tasks may involve simpler reasoning. 3. **Last Letter Concatenation** shows a dip in Chain of thought performance at 2 exemplars but recovers by 4 exemplars. Standard prompting peaks at 3 exemplars but declines sharply. 4. **Standard prompting** demonstrates minimal improvement or stagnation across all tasks, with solve rates rarely exceeding 5–10%. --- ### Interpretation - **Chain of thought prompting** enhances performance in complex reasoning tasks (e.g., GSM8K, MultiArith) by leveraging step-by-step reasoning, as evidenced by the upward trend with more exemplars. - Tasks like **Sports Understanding** and **Coin Flip** may require less explicit reasoning, leading to high solve rates even with Standard prompting. - The dip in **Last Letter Concatenation** for Chain of thought prompting at 2 exemplars could indicate task-specific limitations, such as overfitting or contextual interference. - **Standard prompting**’s flat lines suggest it lacks the capacity to adapt to additional exemplars, highlighting the importance of structured reasoning in complex tasks. This analysis underscores the effectiveness of Chain of thought prompting in improving solve rates for tasks requiring logical reasoning, while Standard prompting remains limited in dynamic adaptation.