## Bar Chart: Latency Comparison for MiniKV and KIVI at Different Prompt Lengths
### Overview
The chart compares latency (in milliseconds) for five components of two systems (MiniKV and KIVI) across two prompt lengths: 1024 and 40960. Latency is segmented by component type, with a legend indicating color coding. The x-axis categorizes data by system and prompt length, while the y-axis represents latency values from 0 to 80 ms.
### Components/Axes
- **X-Axis**:
- Categories: "MiniKV" and "KIVI" under two prompt lengths:
- "Prompt Length = 1024" (left group)
- "Prompt Length = 40960" (right group)
- **Y-Axis**:
- Label: "Latency (ms)" with a scale from 0 to 80.
- **Legend** (right-aligned):
- Colors and labels:
- Orange: Decode QKV Projection
- Blue: Decode Attention
- Green: Decode Eviction
- Purple: Decode Output Projection
- Red: MLP
### Detailed Analysis
#### Prompt Length = 1024
- **MiniKV**:
- Decode QKV Projection: ~12 ms (orange)
- Decode Attention: ~22 ms (blue)
- Decode Eviction: ~1 ms (green)
- Decode Output Projection: ~3 ms (purple)
- MLP: ~7 ms (red)
- **Total**: ~45 ms
- **KIVI**:
- Decode QKV Projection: ~10 ms (orange)
- Decode Attention: ~20 ms (blue)
- Decode Eviction: ~1 ms (green)
- Decode Output Projection: ~3 ms (purple)
- MLP: ~6 ms (red)
- **Total**: ~40 ms
#### Prompt Length = 40960
- **MiniKV**:
- Decode QKV Projection: ~15 ms (orange)
- Decode Attention: ~30 ms (blue)
- Decode Eviction: ~2 ms (green)
- Decode Output Projection: ~4 ms (purple)
- MLP: ~8 ms (red)
- **Total**: ~59 ms
- **KIVI**:
- Decode QKV Projection: ~14 ms (orange)
- Decode Attention: ~50 ms (blue)
- Decode Eviction: ~2 ms (green)
- Decode Output Projection: ~4 ms (purple)
- MLP: ~9 ms (red)
- **Total**: ~80 ms
### Key Observations
1. **Latency Scaling**: Latency increases significantly with longer prompt lengths (e.g., MiniKV increases from ~45 ms to ~59 ms; KIVI from ~40 ms to ~80 ms).
2. **Component Contribution**:
- **Decode Attention** dominates latency in both systems and prompt lengths (e.g., ~50 ms for KIVI at 40960).
- **MLP** contributes ~10-15% of total latency in longer prompts.
- **Decode Eviction** has minimal impact (<5% of total latency).
3. **System Efficiency**: KIVI consistently shows lower latency than MiniKV for the same prompt length (e.g., ~40 ms vs. ~45 ms at 1024).
### Interpretation
- **Prompt Length Impact**: Longer prompts disproportionately increase latency, particularly for "Decode Attention," suggesting it scales poorly with input size.
- **System Design**: KIVI’s architecture appears more efficient, likely due to optimizations in attention or eviction handling.
- **Bottlenecks**: The MLP component becomes a larger relative contributor at longer prompts, indicating potential optimization opportunities.
- **Eviction Efficiency**: The near-constant eviction latency across prompt lengths suggests it is not a major performance limiter in this context.
### Spatial Grounding
- Legend is positioned on the right, with colors matching bar segments.
- Bars are grouped by prompt length, with system-specific bars clustered under each prompt length.