\n ## Box Plot: Token Length Comparison ### Overview The image presents a box plot comparing the token length distributions for three different models: General-Reasoner, SimpleTIR, and FLV-RL. The y-axis represents "Token length," and the x-axis labels the three models. Each model's distribution is visualized using a box plot, showing the median, quartiles, and potential outliers. ### Components/Axes * **Y-axis:** "Token length" - Scale ranges from 0 to 20000, with gridlines at 5000-unit intervals. * **X-axis:** Model names: "General-Reasoner", "SimpleTIR", "FLV-RL". * **Box Plots:** Each model is represented by a box plot with the following components: * Box: Represents the interquartile range (IQR). * Line inside the box: Represents the median. * Whiskers: Extend to the furthest data point within 1.5 times the IQR. * Points beyond the whiskers: Represent potential outliers. * **Colors:** * General-Reasoner: Teal * SimpleTIR: Light Blue * FLV-RL: Light Red/Salmon ### Detailed Analysis **General-Reasoner (Teal):** The box plot for General-Reasoner is positioned on the left. The box is relatively small, indicating a tight distribution of token lengths. * Minimum: Approximately 562 * First Quartile (Q1): Approximately 933 * Median: Approximately 1344 * Third Quartile (Q3): Approximately 1344 * Maximum: Approximately 1344 (no outliers visible) **SimpleTIR (Light Blue):** The box plot for SimpleTIR is in the center. The box is larger than General-Reasoner's, suggesting a wider spread of token lengths. * Minimum: Approximately 2828 * First Quartile (Q1): Approximately 4352 * Median: Approximately 6985 * Third Quartile (Q3): Approximately 6985 * Maximum: Approximately 6985 (no outliers visible) **FLV-RL (Light Red/Salmon):** The box plot for FLV-RL is on the right. This box is the largest of the three, indicating the most significant variability in token lengths. * Minimum: Approximately 3478 * First Quartile (Q1): Approximately 6180 * Median: Approximately 6180 * Third Quartile (Q3): Approximately 9862 * Maximum: Approximately 9862 (no outliers visible) ### Key Observations * The median token length increases from General-Reasoner to SimpleTIR to FLV-RL. * FLV-RL exhibits the largest spread in token lengths, as indicated by the size of its box and the distance between its quartiles. * General-Reasoner has the smallest spread in token lengths, suggesting more consistent output lengths. * There are no visible outliers in any of the box plots. ### Interpretation The data suggests that the FLV-RL model tends to generate longer tokens, with a wider range of lengths, compared to SimpleTIR and General-Reasoner. General-Reasoner consistently produces the shortest tokens with the least variability. This could indicate differences in the complexity of the generated content, the model's architecture, or the training data used for each model. The increasing median token length from General-Reasoner to FLV-RL might suggest that the models are becoming more verbose or are generating more detailed responses. The lack of outliers suggests that the token length distributions are relatively stable for each model, without extreme deviations. The differences in spread could be important for downstream tasks, such as memory usage or processing time.