## Stacked Bar Chart: Game Level Solving Performance by Method
### Overview
This image displays a stacked bar chart comparing the performance of five different methods or agents in solving levels from two categories of games: "Private games" and "Public games." The chart uses a dual-direction stacked bar format, with private game results extending upward from the zero line and public game results extending downward. The primary metric is the "Number of Solved Levels."
### Components/Axes
* **Chart Type:** Stacked Bar Chart (Bidirectional/Diverging).
* **Y-Axis:** Labeled "Number of Solved Levels." The scale runs from 0 at the center to 15 at the top (for private games) and from 0 to 10 at the bottom (for public games). Major gridlines are present at intervals of 5.
* **X-Axis:** Lists five methods/agents:
1. LLM + DSL
2. Random Agent
3. + Frame Segmentation
4. + Prioritize New Actions
5. + Graph Exploration
* **Legends:**
* **Private games (Top-Left):** A box legend with four categories and associated colors:
* `as66` (Light Green)
* `lp85` (Beige/Tan)
* `sp80` (Teal/Cyan)
* `Unknown` (Gray)
* **Public games (Bottom-Left):** A box legend with three categories and associated colors:
* `ft09` (Dark Teal/Green)
* `ls20` (Orange/Salmon)
* `vc33` (Pink/Magenta)
* **Data Labels:** Each colored segment within the bars contains a number indicating the count for that specific category. The total number of solved levels for private games is displayed above each bar, and the total for public games is displayed below each bar.
### Detailed Analysis
Performance is analyzed per method, from left to right.
1. **LLM + DSL**
* **Private Games (Total: 5):** The entire bar is a single gray segment labeled `5`. This corresponds to the `Unknown` category in the legend. No other private game categories are present.
* **Public Games (Total: ?):** No bar extends downward. A question mark `?` is present below the zero line, indicating either zero solved public levels or missing data for this method.
2. **Random Agent**
* **Private Games (Total: 6):** The bar is stacked from bottom to top: a gray segment (`Unknown`, value `1`), a light green segment (`as66`, value `5`), a beige segment (`lp85`, value `1`), and a teal segment (`sp80`, value `1`). *Note: The sum of segments (1+5+1+1=8) does not match the labeled total of 6. This is a visual/data inconsistency in the source chart.*
* **Public Games (Total: 3):** The bar extends downward. From top (zero line) to bottom: a dark teal segment (`ft09`, value `1`), an orange segment (`ls20`, value `1`), and a pink segment (`vc33`, value `1`).
3. **+ Frame Segmentation**
* **Private Games (Total: 7):** Stacked from bottom to top: gray (`Unknown`, `1`), light green (`as66`, `5`), beige (`lp85`, `1`), teal (`sp80`, `1`). Sum of segments (1+5+1+1=8) again does not match the labeled total of 7.
* **Public Games (Total: 8):** Stacked from top to bottom: dark teal (`ft09`, `2`), orange (`ls20`, `1`), pink (`vc33`, `5`).
4. **+ Prioritize New Actions**
* **Private Games (Total: 6):** Stacked from bottom to top: gray (`Unknown`, `1`), light green (`as66`, `4`), beige (`lp85`, `1`), teal (`sp80`, `1`). Sum of segments (1+4+1+1=7) does not match the labeled total of 6.
* **Public Games (Total: 8):** Stacked from top to bottom: dark teal (`ft09`, `2`), orange (`ls20`, `1`), pink (`vc33`, `5`).
5. **+ Graph Exploration**
* **Private Games (Total: 10):** Stacked from bottom to top: gray (`Unknown`, `2`), light green (`as66`, `7`), beige (`lp85`, `2`), teal (`sp80`, `1`). Sum of segments (2+7+2+1=12) does not match the labeled total of 10.
* **Public Games (Total: 9):** Stacked from top to bottom: dark teal (`ft09`, `2`), orange (`ls20`, `2`), pink (`vc33`, `5`).
### Key Observations
* **Performance Trend:** There is a clear upward trend in the total number of solved private game levels as methods become more complex, peaking at 10 for "Graph Exploration." Public game performance also generally improves, from 3 to 9.
* **Dominant Category:** The `as66` category (light green) consistently makes up the largest portion of solved private games for all methods except "LLM + DSL."
* **Public Game Leader:** The `vc33` category (pink) is the dominant component of solved public games for the last three methods, consistently contributing 5 solved levels.
* **Data Inconsistency:** For four of the five bars, the sum of the individual segment values for private games does not equal the total labeled above the bar. This suggests either a chart error, overlapping categories, or that the totals represent unique games solved while segments may count solutions across multiple categories.
* **Unknown Category:** The `Unknown` category (gray) appears in all private game bars, indicating some solved levels could not be classified into the `as66`, `lp85`, or `sp80` categories.
### Interpretation
The chart demonstrates the progressive effectiveness of more sophisticated agent architectures on benchmark game-solving tasks. The "LLM + DSL" baseline shows limited capability, solving only private games and failing on public ones. Each incremental addition—Frame Segmentation, Prioritizing New Actions, and finally Graph Exploration—correlates with increased performance.
The data suggests that **Graph Exploration** is the most effective method shown, achieving the highest scores in both game categories (10 private, 9 public). The consistent performance of the `as66` and `vc33` categories implies these game types or levels are particularly well-suited to the capabilities of the advanced agents, or perhaps are more prevalent in the test suite.
The persistent "Unknown" category and the numerical inconsistencies between segment sums and totals are critical anomalies. They point to potential issues in the evaluation methodology, classification system, or data visualization itself. A technical reviewer would need to investigate whether the totals represent unique solved levels (where a level might belong to multiple categories) or if there is a simple error in the chart's construction. The question mark for the "LLM + DSL" public game score further indicates incomplete or inconclusive results for that baseline.
