# Technical Data Extraction: Format Failure Fraction Analysis
This document provides a comprehensive extraction of data and trends from the provided image, which consists of four line charts comparing the "Format Failure Fraction" of various Large Language Models (Gemma3 and Qwen3 series) across different task lengths and configurations.
## 1. Global Metadata and Legend
The image is segmented into four sub-plots (a through d) and a shared legend at the bottom.
### Legend Identification [Spatial Grounding: Bottom Center]
The legend maps specific colors to model names and parameter sizes.
* **Gemma3 Series (Red/Orange Tones):**
* **Gemma3-4B:** Light Peach/Orange
* **Gemma3-12B:** Bright Red-Orange
* **Gemma3-27B:** Dark Maroon/Burgundy
* **Qwen3 Series (Blue Tones):**
* **Qwen3-4B:** Very Light Blue
* **Qwen3-8B:** Medium Light Blue
* **Qwen3-14B:** Medium Blue
* **Qwen3-32B:** Dark Blue
---
## 2. Sub-plot Analysis
### (a) K=1
* **X-axis:** Task Length (0 to 200)
* **Y-axis:** Format Failure Fraction (0.0 to 1.0)
* **Trends:**
* **Qwen3-4B (Lightest Blue):** Shows the highest failure rate, fluctuating significantly between 0.2 and 0.4 across the task length.
* **Gemma3-4B (Peach):** Maintains a steady failure rate around 0.1 until Task Length ~150, where it suddenly spikes to 1.0 (total failure).
* **Other Models (Qwen3-8B, 14B, 32B and Gemma3-12B, 27B):** Generally cluster at the bottom, maintaining low failure rates between 0.0 and 0.15.
### (b) K=2, Thinking Disabled
* **X-axis:** Task Length (0 to 200)
* **Y-axis:** Format Failure Fraction (0.0 to 1.0)
* **Trends:**
* **Qwen3-8B (Medium Light Blue):** Highest failure rate, stabilizing quickly at approximately 0.7.
* **Qwen3-4B (Lightest Blue):** Second highest, stabilizing around 0.6 with some noise.
* **Qwen3-14B (Medium Blue):** Stabilizes at a lower tier, approximately 0.2.
* **Gemma3 Series:** All Gemma models (4B, 12B, 27B) remain very low, near 0.0 to 0.05.
### (c) K=2, Thinking Enabled
* **X-axis:** Task Length (0 to 200)
* **Y-axis:** Format Failure Fraction (0.0 to 1.0)
* **Trends:**
* **Significant Improvement:** Compared to plot (b), enabling "Thinking" causes a massive drop in failure rates for all models.
* **All Models:** Most data points are at or very near 0.0. There are minor "spikes" of failure (noise) for Qwen3-4B and Qwen3-8B reaching up to 0.1, but they do not sustain a high failure rate.
### (d) K=10, Thinking Enabled
* **X-axis:** Task Length (0 to 800) - *Note the expanded scale.*
* **Y-axis:** Format Failure Fraction (0.0 to 1.0)
* **Trends:**
* **Gemma3-4B (Peach):** Maintains near-zero failure until Task Length ~500, where it abruptly spikes to 1.0.
* **Gemma3-27B (Dark Maroon):** Shows a small uptick in failure at the very end of the scale (Task Length ~750).
* **Qwen3 Series:** Show occasional minor spikes (under 0.1) around Task Length 200, but otherwise remain stable near 0.0.
---
## 3. Component Summary Table
| Feature | Plot (a) | Plot (b) | Plot (c) | Plot (d) |
| :--- | :--- | :--- | :--- | :--- |
| **Configuration** | K=1 | K=2, Thinking Disabled | K=2, Thinking Enabled | K=10, Thinking Enabled |
| **Max X-Axis** | 200 | 200 | 200 | 800 |
| **Highest Failure Model** | Qwen3-4B (~0.3) | Qwen3-8B (~0.7) | None (All < 0.1) | Gemma3-4B (Spike to 1.0) |
| **Key Observation** | Gemma3-4B fails at L=150 | High failure for Qwen series | "Thinking" eliminates most failures | Failure occurs at much higher lengths |
---
## 4. Technical Conclusions
1. **Thinking Benefit:** Comparing (b) and (c) demonstrates that "Thinking Enabled" drastically reduces format failure fractions for the Qwen3 models.
2. **Scaling Limits:** Gemma3-4B exhibits a "cliff" behavior where it functions perfectly until a specific task length (150 in K=1, 500 in K=10), at which point it fails completely.
3. **Model Robustness:** Larger models (Gemma3-27B, Qwen3-32B) consistently show lower format failure fractions across all tested task lengths compared to their smaller counterparts.
