# Technical Document Extraction: Revision Model Verifier Performance
## 1. Document Metadata
* **Title:** Revision Model Verifier With Verse Without History
* **Chart Type:** Line Graph with shaded confidence intervals (error bands).
* **Language:** English (100%).
## 2. Component Isolation
### Header
* **Main Title:** Revision Model Verifier With Verse Without History
### Main Chart Area
* **Y-Axis Label:** MATH Test Accuracy (%)
* **Y-Axis Scale:** Linear, ranging from approximately 17% to 43%. Major markers at 20, 25, 30, 35, 40.
* **X-Axis Label:** Number of Generations
* **X-Axis Scale:** Logarithmic (Base 2). Markers: $2^0$ (1), $2^1$ (2), $2^2$ (4), $2^3$ (8), $2^4$ (16), $2^5$ (32), $2^6$ (64).
* **Legend Location:** Top-left quadrant [approx. x=0.05, y=0.95 relative to the plot area].
### Legend Details
1. **Blue Line (Circle Marker):** Sequential + Verifier With History
2. **Green Line (Circle Marker):** Sequential + Verifier Without History
3. **Orange Line (Circle Marker):** Parallel
---
## 3. Data Series Analysis and Trend Verification
All three series exhibit a **logarithmic growth trend**, where accuracy increases significantly as the number of generations increases, but the rate of improvement begins to diminish (taper off) after $2^4$ generations.
### Series 1: Sequential + Verifier With History (Blue)
* **Trend:** This series consistently performs as the top or second-best method. It shows a steady upward slope.
* **Estimated Data Points:**
* $2^0$: ~18.5%
* $2^1$: ~25.0%
* $2^2$: ~30.8%
* $2^3$: ~35.1%
* $2^4$: ~38.3%
* $2^5$: ~39.5%
* $2^6$: ~41.2%
### Series 2: Sequential + Verifier Without History (Green)
* **Trend:** Starts slightly lower than the others at $2^0$, but tracks very closely with the "With History" version. It overtakes the "Parallel" method at $2^1$ and remains above it for the duration of the test.
* **Estimated Data Points:**
* $2^0$: ~18.2%
* $2^1$: ~25.0%
* $2^2$: ~30.8%
* $2^3$: ~34.6%
* $2^4$: ~37.1%
* $2^5$: ~39.2%
* $2^6$: ~41.2% (Converges with Blue at the final point)
### Series 3: Parallel (Orange)
* **Trend:** Starts as the highest performing at $2^0$ but is quickly overtaken by the Sequential methods. It maintains the lowest accuracy of the three groups from $2^2$ through $2^6$.
* **Estimated Data Points:**
* $2^0$: ~18.8%
* $2^1$: ~24.5%
* $2^2$: ~29.5%
* $2^3$: ~33.3%
* $2^4$: ~36.1%
* $2^5$: ~38.1%
* $2^6$: ~39.4%
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## 4. Key Findings and Observations
* **Scaling Impact:** Increasing the number of generations from 1 ($2^0$) to 64 ($2^6$) results in a massive accuracy gain of approximately 22-23 percentage points across all methods.
* **Method Comparison:** The "Sequential + Verifier" methods (both with and without history) outperform the "Parallel" method as the number of generations increases.
* **History Variable:** There is a marginal benefit to "With History" (Blue) over "Without History" (Green) between $2^3$ and $2^5$ generations, though they appear to converge at the final data point ($2^6$).
* **Confidence Intervals:** Each line is surrounded by a shaded region of the same color, indicating the variance or standard error. The bands are relatively tight, suggesting consistent performance across trials.
