# 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% --- ## 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.

# Technical Document Extraction: Revision Model Verifier With Verse Without History ## Chart Overview The image depicts a line chart titled **"Revision Model Verifier With Verse Without History"**, comparing the performance of three model configurations across increasing numbers of generations. The y-axis represents **MATH Test Accuracy (%)**, and the x-axis represents the **Number of Generations** (expressed as powers of 2: 2⁰ to 2⁶). --- ### **Legend and Labels** - **Legend Position**: Top-left corner of the chart. - **Legend Entries**: 1. **Blue Line**: `Sequential + Verifier With History` 2. **Green Line**: `Sequential + Verifier Without History` 3. **Orange Line**: `Parallel` --- ### **Axis Details** - **X-Axis (Horizontal)**: - **Title**: `Number of Generations` - **Markers**: 2⁰, 2¹, 2², 2³, 2⁴, 2⁵, 2⁶ - **Scale**: Logarithmic (powers of 2). - **Y-Axis (Vertical)**: - **Title**: `MATH Test Accuracy (%)` - **Markers**: 15%, 20%, 25%, 30%, 35%, 40%, 45% - **Range**: 15% to 45%. --- ### **Data Series Analysis** #### 1. **Sequential + Verifier With History (Blue Line)** - **Trend**: Steadily upward slope with minimal deviation. - **Data Points**: - 2⁰: 18% - 2¹: 24% - 2²: 30% - 2³: 35% - 2⁴: 38% - 2⁵: 39% - 2⁶: 41% #### 2. **Sequential + Verifier Without History (Green Line)** - **Trend**: Consistent upward trajectory, slightly below the blue line. - **Data Points**: - 2⁰: 18% - 2¹: 24% - 2²: 30% - 2³: 34% - 2⁴: 37% - 2⁵: 39% - 2⁶: 41% #### 3. **Parallel (Orange Line)** - **Trend**: Gradual upward curve, lags behind the sequential configurations. - **Data Points**: - 2⁰: 18% - 2¹: 24% - 2²: 29% - 2³: 33% - 2⁴: 36% - 2⁵: 38% - 2⁶: 39% --- ### **Key Observations** 1. **Performance Trends**: - All configurations show **increasing accuracy** with more generations. - The **Sequential + Verifier With History** (blue) achieves the highest accuracy across all generations. - The **Parallel** (orange) configuration underperforms compared to sequential approaches, particularly at higher generations (2⁵ and 2⁶). 2. **Convergence**: - At 2⁶ generations, the blue and green lines converge at 41%, while the orange line plateaus at 39%. 3. **Initial Performance**: - All configurations start at **18% accuracy** at 2⁰ generations, indicating similar baseline performance. --- ### **Spatial Grounding** - **Legend**: Top-left corner (confirmed via visual alignment). - **Line Colors**: - Blue: `Sequential + Verifier With History` - Green: `Sequential + Verifier Without History` - Orange: `Parallel` - **Data Point Validation**: All line colors match their corresponding legend entries. --- ### **Conclusion** The chart demonstrates that **sequential models with verifiers** (with or without history) outperform parallel models in MATH test accuracy, especially as the number of generations increases. The inclusion of historical data in the verifier further enhances performance, though the difference narrows at higher generations.