# Technical Document Analysis of Line Graph
## 1. **Title and Axes Labels**
- **Title**: "Attention Key Query Score, a=128"
- **Y-Axis**: "Throughput (TFLOP/s)" (ranging from 0 to 150)
- **X-Axis**: "Hidden Size" (ranging from 0 to 32768)
## 2. **Legend and Color Mapping**
- **Legend Location**: Right side of the plot (outside the graph area).
- **Legend Entries**:
- **Blue**: h/a = 1
- **Orange**: h/a = 2
- **Green**: h/a = 4
- **Red**: h/a = 8
- **Purple**: h/a = 16
- **Brown**: h/a = 32
- **Pink**: h/a = 64
## 3. **Key Trends and Data Points**
### **Line Trends**
- All lines exhibit an **upward trend** as hidden size increases.
- **Higher h/a ratios** (e.g., 32, 64) show **steeper slopes** compared to lower ratios (e.g., 1, 2).
- **Lowest throughput**: h/a = 1 (blue line) remains the lowest across all hidden sizes.
- **Highest throughput**: h/a = 64 (pink line) is the steepest and reaches the highest values.
### **Approximate Data Points**
| Hidden Size | h/a = 1 (Blue) | h/a = 2 (Orange) | h/a = 4 (Green) | h/a = 8 (Red) | h/a = 16 (Purple) | h/a = 32 (Brown) | h/a = 64 (Pink) |
|-------------|----------------|------------------|-----------------|---------------|-------------------|------------------|-----------------|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 4096 | ~10 | ~15 | ~20 | ~30 | ~40 | ~50 | ~60 |
| 8192 | ~25 | ~35 | ~45 | ~60 | ~75 | ~90 | ~110 |
| 12288 | ~35 | ~50 | ~65 | ~85 | ~105 | ~125 | ~140 |
| 16384 | ~45 | ~65 | ~80 | ~100 | ~120 | ~135 | ~150 |
| 20480 | ~55 | ~75 | ~90 | ~110 | ~130 | ~140 | ~155 |
| 24576 | ~65 | ~85 | ~95 | ~120 | ~140 | ~145 | ~158 |
| 28672 | ~70 | ~95 | ~100 | ~125 | ~145 | ~148 | ~159 |
| 32768 | ~75 | ~105 | ~110 | ~130 | ~150 | ~152 | ~160 |
## 4. **Spatial Grounding**
- **Legend Position**: Right side of the plot (outside the graph area).
- **Line Placement**:
- **Blue (h/a=1)**: Bottommost line.
- **Pink (h/a=64)**: Topmost line.
- All lines are plotted in ascending order of h/a ratio from bottom to top.
## 5. **Trend Verification**
- **h/a = 1 (Blue)**: Gradual, shallow slope. Throughput increases slowly.
- **h/a = 2 (Orange)**: Slightly steeper than h/a = 1.
- **h/a = 4 (Green)**: Moderate slope, surpassing h/a = 2.
- **h/a = 8 (Red)**: Steeper than h/a = 4, with a noticeable acceleration.
- **h/a = 16 (Purple)**: Rapid increase, surpassing h/a = 8.
- **h/a = 32 (Brown)**: Very steep, approaching the maximum y-axis value.
- **h/a = 64 (Pink)**: Steepest line, reaching the highest throughput values.
## 6. **Component Isolation**
- **Header**: Title "Attention Key Query Score, a=128".
- **Main Chart**:
- X-axis (Hidden Size) and Y-axis (Throughput) with labeled scales.
- Seven colored lines representing different h/a ratios.
- **Footer**: No additional text or components.
## 7. **Data Table Reconstruction**
The graph does not contain an explicit data table, but the trends and approximate values are derived from the line placements and axis scales. The table above summarizes the key data points.
## 8. **Language and Text Extraction**
- **Primary Language**: English (all labels, titles, and axis labels are in English).
- **No Other Languages**: No non-English text is present.
## 9. **Critical Notes**
- **Accuracy Check**: All legend colors match the corresponding lines in the graph.
- **No Missing Data**: All h/a ratios (1, 2, 4, 8, 16, 32, 64) are represented.
- **No Ambiguities**: The graph is clear, with no overlapping lines or conflicting trends.
## 10. **Conclusion**
The graph illustrates the relationship between **hidden size** and **throughput (TFLOP/s)** for different **h/a ratios**. Higher h/a ratios consistently yield higher throughput, with the steepest increase observed at h/a = 64. The data suggests a positive correlation between h/a ratio and computational efficiency in this context.
