## Line Chart: EGA vs. Number of Provided Human-Written Plans ### Overview The image is a line chart comparing the EGA (Expected Goal Achievement) score against the number of provided human-written plans (1 or 3). There are four distinct data series represented by different colored lines, each showing the trend of EGA as the number of plans increases from 1 to 3. ### Components/Axes * **X-axis:** "# of provided human-written plans" with two data points: 1 and 3. * **Y-axis:** "EGA" (Expected Goal Achievement), ranging from 0.2 to 1.0 in increments of 0.2. * **Data Series:** Four distinct lines, each with a unique color and marker shape: * Light Blue: Circle marker * Light Green: Square marker * Light Pink: Diamond marker * Dark Gray: Plus marker * Light Orange: X marker ### Detailed Analysis * **Light Blue (Circle):** This line remains almost constant at EGA ~0.98, regardless of the number of provided plans. * (1 plan, EGA ~0.98) * (3 plans, EGA ~0.98) * **Light Green (Square):** This line shows an upward trend, starting at EGA ~0.4 and increasing to EGA ~0.48. * (1 plan, EGA ~0.4) * (3 plans, EGA ~0.48) * **Light Pink (Diamond):** This line also shows an upward trend, starting at EGA ~0.52 and increasing to EGA ~0.62. * (1 plan, EGA ~0.52) * (3 plans, EGA ~0.62) * **Dark Gray (Plus):** This line shows a slight upward trend, starting at EGA ~0.2 and increasing to EGA ~0.24. * (1 plan, EGA ~0.2) * (3 plans, EGA ~0.24) * **Light Orange (X):** This line shows an upward trend, starting at EGA ~0.56 and increasing to EGA ~0.68. * (1 plan, EGA ~0.56) * (3 plans, EGA ~0.68) ### Key Observations * The light blue data series (circle marker) consistently achieves a high EGA score, irrespective of the number of provided plans. * All other data series (light green, light pink, dark gray, light orange) show an increase in EGA score when the number of provided plans increases from 1 to 3. * The dark gray data series (plus marker) consistently has the lowest EGA scores. ### Interpretation The chart suggests that providing more human-written plans (increasing from 1 to 3) generally improves the Expected Goal Achievement (EGA) score for most of the data series represented. However, one data series (light blue) maintains a high EGA score regardless of the number of plans provided, indicating that its performance is not significantly affected by this variable. The dark gray data series consistently underperforms compared to the others, suggesting it may represent a less effective strategy or system. The other series show moderate improvements with more plans, indicating that the additional information is beneficial but not transformative.

\n ## Line Chart: EGA vs. Number of Human-Written Plans ### Overview This image presents a line chart illustrating the relationship between the number of provided human-written plans and the EGA (likely an evaluation metric). The chart displays data for four different series, each represented by a distinct colored line. The x-axis represents the number of plans (1 or 3), and the y-axis represents the EGA score, ranging from 0 to 1. ### Components/Axes * **X-axis Label:** "# of provided human-written plans" * **X-axis Markers:** 1, 3 * **Y-axis Label:** "EGA" * **Y-axis Scale:** 0.0 to 1.0, with increments of 0.2 * **Data Series:** Four lines, each with a unique color: * Blue * Orange * Pink * Green ### Detailed Analysis Let's analyze each line individually, noting the trend and approximate data points. * **Blue Line:** This line is relatively flat. It starts at approximately 0.95 when the number of plans is 1 and ends at approximately 0.97 when the number of plans is 3. * **Orange Line:** This line slopes upward. It begins at approximately 0.55 when the number of plans is 1 and increases to approximately 0.68 when the number of plans is 3. * **Pink Line:** This line also slopes upward, but less steeply than the orange line. It starts at approximately 0.52 when the number of plans is 1 and rises to approximately 0.63 when the number of plans is 3. * **Green Line:** This line slopes upward. It begins at approximately 0.42 when the number of plans is 1 and increases to approximately 0.48 when the number of plans is 3. ### Key Observations * All four lines show a positive correlation between the number of human-written plans and the EGA score. As the number of plans increases, the EGA score tends to increase for all series. * The blue line exhibits the highest EGA scores across both data points, indicating consistently high performance. * The green line consistently has the lowest EGA scores. * The orange line shows the largest increase in EGA score between 1 and 3 plans. ### Interpretation The data suggests that providing more human-written plans generally leads to improved EGA scores across all evaluated series. This could indicate that human input enhances the performance of the system being evaluated. The consistent high performance of the blue line suggests that this particular series is less sensitive to the number of provided plans, or inherently performs better. The green line's lower scores suggest it may benefit more from additional human input. The upward trends across all lines imply a diminishing return – the increase in EGA score becomes smaller as more plans are provided. This could be due to saturation, where additional plans offer less new information or refinement. The EGA metric is likely measuring the quality or effectiveness of some process, and the human-written plans are serving as a form of guidance or training data. Further investigation would be needed to understand the specific meaning of EGA and the nature of the plans.

## Line Chart: EGA vs. Number of Provided Human-Written Plans ### Overview The image is a line chart plotting a metric called "EGA" against the number of provided human-written plans. The chart displays five distinct data series, each represented by a different color and marker shape, showing how the EGA metric changes when the number of plans increases from 1 to 3. ### Components/Axes * **X-Axis (Horizontal):** * **Label:** "# of provided human-written plans" * **Scale:** Categorical with two discrete points: "1" and "3". * **Y-Axis (Vertical):** * **Label:** "EGA" * **Scale:** Linear, ranging from 0.2 to 1.0, with major tick marks at 0.2, 0.4, 0.6, 0.8, and 1.0. * **Data Series (Lines & Markers):** There are five distinct lines. A legend is not visible in the provided image, so series are identified by their visual properties. * **Background:** White with light gray horizontal grid lines aligned with the y-axis ticks. ### Detailed Analysis The chart plots data points at two x-axis values: 1 and 3. The approximate EGA values for each series are as follows: 1. **Light Blue Line (Circle Markers):** * **Trend:** Nearly flat, showing a very slight decrease. * **Value at x=1:** ~0.97 * **Value at x=3:** ~0.97 * **Position:** This is the highest line on the chart, positioned near the top. 2. **Orange Line ('X' Markers):** * **Trend:** Clear upward slope. * **Value at x=1:** ~0.55 * **Value at x=3:** ~0.67 * **Position:** Starts as the second-highest line at x=1 and remains the second-highest at x=3. 3. **Pink Line (Diamond Markers):** * **Trend:** Clear upward slope. * **Value at x=1:** ~0.52 * **Value at x=3:** ~0.61 * **Position:** Starts just below the orange line at x=1 and remains just below it at x=3. 4. **Light Green Line (Square Markers):** * **Trend:** Clear upward slope. * **Value at x=1:** ~0.40 * **Value at x=3:** ~0.48 * **Position:** This is the fourth-highest line at both data points. 5. **Gray Line (Plus '+' Markers):** * **Trend:** Slight upward slope. * **Value at x=1:** ~0.20 * **Value at x=3:** ~0.23 * **Position:** This is the lowest line on the chart. ### Key Observations * **Universal Non-Decreasing Trend:** All five data series show either an increase or stability in EGA as the number of provided human-written plans increases from 1 to 3. No series shows a decrease. * **Performance Stratification:** There is a clear and consistent hierarchy in EGA values across the series that is maintained at both data points. The blue series performs best, followed by orange, pink, green, and gray. * **Varying Rates of Improvement:** The magnitude of improvement (slope) differs between series. The orange and pink lines show the most pronounced gains, while the blue line is essentially static and the gray line shows minimal improvement. * **Ceiling Effect:** The top-performing (blue) series is already near the maximum possible EGA value of 1.0 at x=1, leaving little room for improvement. ### Interpretation The data suggests a positive correlation between the quantity of human-written plans provided (increasing from 1 to 3) and the resulting EGA metric for most of the evaluated methods or models. This implies that access to more human-generated planning examples generally aids performance. The consistent performance hierarchy indicates that the underlying methods have fundamentally different capabilities, with one (blue) operating at a near-perfect level regardless of the small increase in plan count. The varying slopes suggest that some methods (orange, pink) are more effective at leveraging additional planning data than others (gray, blue). The blue series' plateau is a classic ceiling effect, indicating its performance is already saturated. This chart would be crucial for evaluating which planning-augmented approach is most effective and how sensitive each is to the volume of provided human guidance.

## Line Chart: EGA Performance Across Human-AI Collaboration Models ### Overview The chart compares Expected Goal Achievement (EGA) scores across five collaboration models (Full Human, Human+AI, AI, AI+Human, AI Only) at two points: 1 and 3 provided human-written plans. All models show distinct performance trajectories, with Full Human maintaining perfect scores. ### Components/Axes - **X-axis**: "# of provided human-written plans" (values: 1, 3) - **Y-axis**: "EGA" (scale: 0.0–1.0) - **Legend**: Right-aligned, color-coded labels: - Blue Circle: Full Human - Orange X: Human+AI - Pink Diamond: AI - Green Square: AI+Human - Dark Blue Cross: AI Only ### Detailed Analysis 1. **Full Human (Blue Circle)** - Constant at 1.0 EGA for both x=1 and x=3 - Perfect performance maintained regardless of plan quantity 2. **Human+AI (Orange X)** - x=1: ~0.55 EGA - x=3: ~0.65 EGA - Steady upward trend with plan quantity 3. **AI (Pink Diamond)** - x=1: ~0.5 EGA - x=3: ~0.6 EGA - Moderate improvement with more plans 4. **AI+Human (Green Square)** - x=1: ~0.4 EGA - x=3: ~0.45 EGA - Smallest absolute gain (+0.05) 5. **AI Only (Dark Blue Cross)** - x=1: ~0.2 EGA - x=3: ~0.25 EGA - Minimal improvement and lowest baseline ### Key Observations - Full Human performance remains perfectly stable (1.0 EGA) - Human+AI shows strongest growth (+0.1 EGA) with increased plans - AI+Human and AI Only demonstrate weakest scalability - AI Only remains consistently the lowest performer ### Interpretation The data reveals a clear hierarchy of effectiveness: 1. **Full Human** dominance suggests irreplaceable human contribution 2. **Human+AI** collaboration outperforms pure AI models by 20-30% 3. **AI+Human** underperforms expectations, indicating potential implementation gaps 4. **AI Only**'s poor performance highlights critical limitations in autonomous systems The trends emphasize that human involvement—whether direct (Full Human) or collaborative (Human+AI)—drives superior outcomes. The AI+Human model's weak gains suggest either suboptimal human-AI integration or insufficient plan quality. Notably, AI's performance improves with more plans, but remains significantly below human-assisted models, indicating fundamental capability gaps in unassisted AI systems.