## Bar Chart: Search Error
### Overview
The chart compares search error rates across two tasks (ProofWriter and LogicNLI) for four methods: ToT, ToT-Search, Ours, and Ours-Search. Error rates are presented as percentages, with distinct color coding for each method.
### Components/Axes
- **Title**: "Search Error"
- **X-axis**: Task categories ("ProofWriter", "LogicNLI")
- **Y-axis**: "Error Rate (%)" (0–40% scale)
- **Legend**: Located at the bottom, with four color-coded methods:
- Light blue: ToT
- Dark blue: ToT-Search
- Light pink: Ours
- Dark pink: Ours-Search
- **Bar Labels**: Numerical values (e.g., "31.0%", "14.0%") placed atop each bar.
### Detailed Analysis
- **ProofWriter**:
- ToT: 31.0% (light blue)
- ToT-Search: 14.0% (dark blue)
- Ours: 11.5% (light pink)
- Ours-Search: 2.8% (dark pink)
- **LogicNLI**:
- ToT: 43.2% (light blue)
- ToT-Search: 16.0% (dark blue)
- Ours: 29.5% (light pink)
- Ours-Search: 5.0% (dark pink)
### Key Observations
1. **Ours-Search** consistently achieves the lowest error rates in both tasks (2.8% for ProofWriter, 5.0% for LogicNLI).
2. **ToT** has the highest error rates (31.0% for ProofWriter, 43.2% for LogicNLI), indicating significant performance gaps.
3. **ToT-Search** reduces errors by ~50% compared to ToT in both tasks (14.0% vs. 31.0% for ProofWriter; 16.0% vs. 43.2% for LogicNLI).
4. **Ours** outperforms ToT-Search in LogicNLI (29.5% vs. 16.0%) but underperforms in ProofWriter (11.5% vs. 14.0%).
### Interpretation
The data demonstrates that the "Ours-Search" method is the most effective at minimizing search errors, outperforming all other approaches by a substantial margin. The ToT method exhibits the highest error rates, suggesting potential limitations in its design or implementation. The LogicNLI task shows higher overall error rates than ProofWriter, which may reflect greater complexity or dataset-specific challenges. The "Ours" method bridges the gap between ToT-Search and Ours-Search, indicating incremental improvements in error reduction. This hierarchy highlights the importance of method selection for task-specific optimization.
