## Chart: Test Result on Minerva MATH
### Overview
The image is a line chart comparing "Tum 1 Accuracy" and "Final Accuracy" over "Training Steps of Reinforcement Learning". The y-axis represents "Average Benchmark Accuracy (%)".
### Components/Axes
* **Title:** Test Result on Minerva MATH
* **X-axis:** Training Steps of Reinforcement Learning
* Scale: 0 to 200, with unlabeled tick marks at approximately 50, 100, 150, and 200.
* **Y-axis:** Average Benchmark Accuracy (%)
* Scale: 24 to 38, with tick marks at intervals of 2.
* **Legend:** Located in the top-left corner.
* Tum 1 Accuracy (Green line)
* Final Accuracy (Blue line)
### Detailed Analysis
* **Tum 1 Accuracy (Green line):**
* Trend: Generally slopes upward.
* Data Points:
* (0, 23%)
* (50, 25%)
* (100, 29%)
* (125, 32%)
* (150, 31%)
* (175, 33%)
* (200, 32.5%)
* (225, 34%)
* **Final Accuracy (Blue line):**
* Trend: Generally slopes upward, plateaus, then increases again.
* Data Points:
* (0, 29%)
* (25, 29.5%)
* (50, 35%)
* (75, 34%)
* (100, 32%)
* (125, 35%)
* (150, 35%)
* (175, 37%)
* (200, 36%)
* (225, 39%)
### Key Observations
* The "Final Accuracy" starts higher than "Tum 1 Accuracy".
* Both accuracies generally increase with training steps.
* The "Final Accuracy" plateaus around 100-150 training steps.
* The "Final Accuracy" has a more pronounced increase towards the end of the training steps.
### Interpretation
The chart illustrates the performance of two different accuracy metrics ("Tum 1 Accuracy" and "Final Accuracy") during the training of a model on the Minerva MATH dataset using reinforcement learning. The upward trend in both lines suggests that the model's accuracy improves as it undergoes more training steps. The "Final Accuracy" consistently outperforms "Tum 1 Accuracy," indicating that it is a better measure of the model's overall performance. The plateau in "Final Accuracy" around 100-150 training steps might suggest a period where the model's learning stagnates, but the subsequent increase indicates that further training eventually leads to improved accuracy.