# Technical Document Extraction: Compute Scaling Chart
## Chart Title
**Compute Scaling**
## Formula
`#GPU = (|V| × d) × 2.56⁻¹ × 10⁻⁶ / M_GPU`
---
### Axes Labels
- **Left Y-Axis**:
`Total GPU Memory Required (GB)`
Scale: 0 → 2560 (increments: 40, 160, 640, 2560)
- **Right Y-Axis**:
`# GPU (80GB)`
Scale: 0 → 30 (increments: 10, 20, 30)
- **X-Axis**:
`Compute Cost |V| × d`
Categories:
- `100k×1024`
- `200k×2048`
- `400k×4096`
- `800k×8192`
---
### Legend
- **Location**: Top-left corner
- **Entries**:
- **Orange Solid Line**: `GPU Memory (GB)`
- **Blue Dashed Line**: `# GPU (80GB)`
---
### Data Points & Trends
#### GPU Memory (GB) [Orange Solid Line]
- **Trend**: Linear upward slope
- **Points**:
- `[100k×1024, 40]`
- `[200k×2048, 160]`
- `[400k×4096, 640]`
- `[800k×8192, 2560]`
#### # GPU (80GB) [Blue Dashed Line]
- **Trend**: Flat initially, then exponential growth
- **Points**:
- `[100k×1024, 4]`
- `[200k×2048, 5]`
- `[400k×4096, 13]`
- `[800k×8192, 30]`
---
### Spatial Grounding
- **Legend Position**: Top-left quadrant
- **Color Consistency**:
- Orange line matches `GPU Memory (GB)` legend entry
- Blue dashed line matches `# GPU (80GB)` legend entry
---
### Component Isolation
1. **Header**:
- Title: `Compute Scaling`
- Formula: `#GPU = (|V| × d) × 2.56⁻¹ × 10⁻⁶ / M_GPU`
2. **Main Chart**:
- Dual-axis line chart with:
- Left Y-axis: GPU memory (GB)
- Right Y-axis: Number of GPUs (80GB each)
- X-axis: Compute cost (|V| × d)
3. **Footer**:
- No explicit footer content.
---
### Observations
- **Scaling Relationship**:
- GPU memory requirement scales linearly with compute cost.
- Number of GPUs required scales sub-linearly initially, then exponentially.
- **Key Insight**:
- At `800k×8192` compute cost, 30 GPUs (80GB each) are required to handle 2560GB of total GPU memory.
---
### Notes
- No non-English text detected.
- All labels, axes, and data points transcribed verbatim.
- Trends verified visually before numerical extraction.
