## Line Chart: Model Performance Comparison ### Overview The image is a line chart comparing the performance of different models on various tasks. The chart plots the "Score (%)" on the y-axis against the "Model Number" on the x-axis. There are five data series, each representing a different task: GSM8K, MGSM, MATH, MathVista, AIME 2024, and AIME 2025. ### Components/Axes * **X-axis:** "Model Number" ranging from 1 to 10. * **Y-axis:** "Score (%)" ranging from 20 to 90, with gridlines at intervals of 10. * **Legend:** Located in the top-right area of the chart, associating colors and markers with task names. * GSM8K: Pink line with diamond markers. * MGSM: Blue line with circle markers. * MATH: Green line with square markers. * MathVista: Purple line with triangle markers. * AIME 2024: Teal line with circle markers. * AIME 2025: Yellow-green line with circle markers. ### Detailed Analysis * **GSM8K (Pink, Diamond):** Starts at approximately 94% for Model 1, decreases to about 87% for Model 2, remains relatively stable at approximately 87% for Model 3, and increases slightly to approximately 91% for Model 4. * **MGSM (Blue, Circle):** Starts at approximately 79% for Model 1, decreases to about 63% for Model 2, increases to approximately 83% for Model 3, and increases slightly to approximately 87% for Model 4. * **MATH (Green, Square):** Starts at approximately 53% for Model 1, decreases to about 33% for Model 2, increases to approximately 55% for Model 3, and increases to approximately 68% for Model 4. * **MathVista (Purple, Triangle):** Starts at approximately 53% for Model 1, decreases to about 45% for Model 2, increases to approximately 58% for Model 3, and increases to approximately 65% for Model 4. * **AIME 2024 (Teal, Circle):** Only data point is at Model 8, with a score of approximately 93%. * **AIME 2025 (Yellow-Green, Circle):** Starts at approximately 15% for Model 3, increases to approximately 18% for Model 4, increases to approximately 24% for Model 5, increases to approximately 30% for Model 6, increases to approximately 72% for Model 7, increases to approximately 88% for Model 8, decreases to approximately 50% for Model 9, and increases to approximately 63% for Model 10. ### Key Observations * GSM8K and MGSM generally outperform MATH and MathVista across the first four models. * AIME 2024 has a single data point at Model 8, indicating it might be specifically designed or evaluated for that model. * AIME 2025 shows a significant performance increase from Model 3 to Model 8, followed by a decrease and then a slight increase. ### Interpretation The chart provides a comparative analysis of different models' performance on various tasks. The tasks GSM8K and MGSM appear to be easier or better suited for the initial models (1-4) compared to MATH and MathVista. The AIME 2024 task seems to be specifically targeted towards Model 8. The AIME 2025 task shows a more complex performance pattern, suggesting that the models' suitability for this task varies significantly. The data suggests that different models excel at different tasks, and the choice of model should be tailored to the specific task at hand. The AIME 2025 data suggests that model number 8 is particularly good at this task, but model 9 is particularly bad.

## Line Chart: Model Performance Scores Across Various Math Benchmarks ### Overview This image is a line chart displaying the performance scores (in percentages) of various numbered models across six different mathematical and reasoning benchmarks. The chart illustrates how performance changes across a sequence of models (labeled 1 through 10), with some benchmarks evaluated only on a subset of these models. ### Components/Axes * **Y-axis (Vertical):** * **Label:** "Score (%)" * **Scale:** Ranges from below 20 to above 90. * **Markers/Ticks:** Major gridlines and numeric labels are provided at intervals of 10 (20, 30, 40, 50, 60, 70, 80, 90). * **X-axis (Horizontal):** * **Label:** "Model Number" * **Scale:** Discrete integer values from 1 to 10. * **Markers/Ticks:** Major vertical gridlines and numeric labels are provided at every integer (1, 2, 3, 4, 5, 6, 7, 8, 9, 10). * **Legend/Labels:** There is no separate legend box. Instead, data series are identified by inline text labels placed adjacent to the final data point of each respective line. The series are distinguished by line color and marker shape. ### Detailed Analysis *Note: All numerical values extracted below are approximate based on visual interpolation between gridlines, with an estimated uncertainty of ±1.0%.* **1. GSM8K (Pink line, Diamond markers)** * *Spatial Grounding:* Located in the top-left quadrant. The label "GSM8K" is positioned to the right of the final data point at x=4. * *Trend Verification:* The line starts at the highest overall value on the chart, dips moderately at Model 2, remains relatively flat at Model 3, and rises again at Model 4. * *Data Points:* * Model 1: ~94.5% * Model 2: ~86.5% * Model 3: ~86.0% * Model 4: ~91.0% **2. MGSM (Blue line, Circle markers)** * *Spatial Grounding:* Located in the top-left quadrant, directly below the GSM8K line. The label "MGSM" is positioned to the right of the final data point at x=4. * *Trend Verification:* The line starts high, experiences a sharp decline at Model 2, recovers sharply at Model 3, and continues to rise moderately at Model 4. * *Data Points:* * Model 1: ~79.0% * Model 2: ~63.5% * Model 3: ~82.5% * Model 4: ~87.5% **3. MATH (Green line, Square markers)** * *Spatial Grounding:* Located in the middle-left area. The label "MATH" is positioned to the right of the final data point at x=4. * *Trend Verification:* Starts in the middle range, drops significantly to a local minimum at Model 2, rebounds sharply at Model 3, and continues upward at Model 4. * *Data Points:* * Model 1: ~53.0% * Model 2: ~32.5% * Model 3: ~55.0% * Model 4: ~67.5% **4. MathVista (Purple line, Triangle markers)** * *Spatial Grounding:* Located in the middle-left area, intersecting the MATH line. The label "MathVista" is positioned to the right of the final data point at x=4. * *Trend Verification:* Shares the exact starting point with MATH, dips moderately at Model 2, rises steadily through Models 3 and 4. * *Data Points:* * Model 1: ~53.0% (Overlaps with MATH) * Model 2: ~45.0% * Model 3: ~58.5% * Model 4: ~64.0% **5. AIME 2024 (Cyan point, Hexagon marker)** * *Spatial Grounding:* Located in the top-right quadrant. It is a single, isolated data point. The label "AIME 2024" is positioned to the right of the point. * *Trend Verification:* N/A (Single point). * *Data Point:* * Model 8: ~92.0% **6. AIME 2025 (Olive/Yellow-green line, Pentagon markers)** * *Spatial Grounding:* Spans from the bottom-left (starting at x=3) across to the middle-right. The label "AIME 2025" is positioned above the final data point at x=10. * *Trend Verification:* Starts at the lowest point on the chart at Model 3. It rises slowly through Model 6, then spikes dramatically at Model 7 and peaks at Model 8. It then suffers a severe drop at Model 9 before recovering moderately at Model 10. * *Data Points:* * Model 3: ~14.5% * Model 4: ~17.5% * Model 5: ~23.5% * Model 6: ~29.5% * Model 7: ~72.0% * Model 8: ~88.0% * Model 9: ~49.5% * Model 10: ~63.0% ### Key Observations 1. **The "Model 2 Dip":** Every benchmark evaluated on Models 1 through 4 (GSM8K, MGSM, MATH, MathVista) exhibits a distinct performance drop from Model 1 to Model 2, followed by a recovery in subsequent models. 2. **Incomplete Series:** Models 1 through 4 are evaluated on four specific benchmarks. Models 5 through 10 are *only* evaluated on the AIME 2025 benchmark (with the exception of the single AIME 2024 point at Model 8). 3. **Model 8 Peak:** Model 8 represents a massive peak in performance for the AIME 2025 benchmark (~88%), and is also the only model evaluated on AIME 2024, scoring exceptionally high (~92%). 4. **Benchmark Difficulty:** Based on the scores for Models 3 and 4, AIME 2025 is significantly more difficult than the other benchmarks, scoring roughly 40-70 percentage points lower than GSM8K, MGSM, MATH, and MathVista on those specific models. ### Interpretation This chart likely represents the evaluation of a family of AI models (perhaps different sizes, iterations, or training checkpoints of a specific foundation model series) against standard mathematical reasoning benchmarks. * **Reading between the lines regarding Model 2:** The universal dip at Model 2 suggests that this specific model is either a smaller parameter version (e.g., a 7B model compared to a 70B Model 1), a base model prior to instruction tuning, or a flawed checkpoint. * **Shift in Evaluation Strategy:** The abrupt stop of GSM8K, MGSM, MATH, and MathVista at Model 4, combined with the introduction of AIME 2025 at Model 3, suggests a shift in the researchers' focus. It is highly probable that Models 5-10 became so capable that the earlier benchmarks (like GSM8K) "saturated" (approached 100%), prompting the evaluators to switch exclusively to a much harder benchmark (AIME 2025) to accurately measure further improvements. * **The Significance of Model 8:** Model 8 is a major outlier in capability. The fact that it was specifically chosen to be tested against AIME 2024, and that it peaked on AIME 2025, implies Model 8 might be a specialized "Math" variant of the model family, or the largest/most heavily trained version. The subsequent drop at Model 9 suggests Model 9 might be a return to a smaller or more generalized model architecture before improving again at Model 10.

## Line Chart: Model Performance on Various Benchmarks ### Overview This line chart displays the performance scores (in percentage) of different models across several benchmarks: GSM8K, MGSM, MATH, MathVista, AIME 2024, and AIME 2025. The x-axis represents the Model Number, ranging from 1 to 10. The y-axis represents the Score, measured as a percentage from 0% to 100%. ### Components/Axes * **X-axis:** Model Number (1 to 10) * **Y-axis:** Score (%) (0 to 100) * **Data Series:** * GSM8K (Pink) * MGSM (Purple) * MATH (Blue) * MathVista (Green) * AIME 2024 (Teal) * AIME 2025 (Yellow) * **Legend:** Located in the top-right corner of the chart, associating colors with each benchmark. ### Detailed Analysis Here's a breakdown of each data series and their trends: * **GSM8K (Pink):** Starts at approximately 84% at Model 1, dips to around 81% at Model 2, rises to approximately 88% at Model 3, plateaus around 86-88% from Models 3 to 10. * **MGSM (Purple):** Starts at approximately 91% at Model 1, drops to around 82% at Model 2, rises to approximately 86% at Model 3, and remains relatively stable around 84-86% from Models 3 to 10. * **MATH (Blue):** Starts at approximately 76% at Model 1, drops to around 63% at Model 2, rises steadily to approximately 68% at Model 3, continues to increase to around 72% at Model 4, and plateaus around 72-74% from Models 4 to 10. * **MathVista (Green):** Starts at approximately 52% at Model 1, drops sharply to around 32% at Model 2, rises steadily to approximately 58% at Model 3, continues to increase to around 68% at Model 7, and then plateaus around 68-70% from Models 7 to 10. * **AIME 2024 (Teal):** Starts at approximately 76% at Model 1, drops to around 65% at Model 2, rises to approximately 70% at Model 3, and then rises sharply to approximately 91% at Model 8, and then drops to approximately 85% at Model 9 and 80% at Model 10. * **AIME 2025 (Yellow):** Starts at approximately 20% at Model 1, rises steadily to approximately 30% at Model 6, then increases sharply to approximately 65% at Model 7, rises to approximately 87% at Model 8, and then drops to approximately 65% at Model 9 and 60% at Model 10. ### Key Observations * GSM8K and MGSM consistently achieve the highest scores, remaining above 80% across all models. * MathVista shows the lowest initial scores but demonstrates significant improvement as the Model Number increases. * AIME 2024 and AIME 2025 exhibit a dramatic increase in performance around Model 8, suggesting a critical threshold or improvement in the model's capabilities at that point. * AIME 2025 starts with the lowest scores and shows the most significant improvement. * The performance of most models appears to stabilize after Model 7 or 8. ### Interpretation The chart suggests that the models generally improve in performance as the Model Number increases, indicating that iterative development or training leads to better results. The benchmarks GSM8K and MGSM are easier for the models to achieve high scores on, while MATH, MathVista, AIME 2024, and AIME 2025 present greater challenges. The sharp increase in AIME 2024 and AIME 2025 scores around Model 8 could indicate a specific architectural change, training data update, or optimization technique implemented at that stage. The diverging trends of AIME 2024 and AIME 2025 after Model 8 suggest that the models are responding differently to further improvements or are being optimized for different aspects of the benchmark. The data highlights the importance of continued model development and the potential for significant performance gains through targeted improvements.

## Multi-Line Chart: Model Performance Comparison Across Mathematical Benchmarks ### Overview This is a multi-line chart comparing the performance of 10 different models (numbered 1 through 10) on five distinct mathematical reasoning benchmarks. The chart plots the score percentage for each model on each benchmark, revealing trends in model capability across different types of mathematical problems. ### Components/Axes * **X-Axis:** Labeled "Model Number". It is a categorical axis with discrete integer markers from 1 to 10. * **Y-Axis:** Labeled "Score (%)". It is a linear scale ranging from 20 to 90, with major gridlines at intervals of 10. * **Legend/Data Series:** There are five distinct lines, each representing a benchmark, identified by color and marker shape. The legend is embedded directly on the chart, with labels placed near the end of their respective lines. * **GSM8K:** Pink line with diamond markers. * **MGSM:** Blue line with circle markers. * **MATH:** Green line with square markers. * **MathVista:** Purple line with triangle markers. * **AIME 2025:** Yellow-green line with circle markers. * **AIME 2024:** A single cyan diamond data point at Model 8. ### Detailed Analysis **Trend Verification & Data Point Extraction (Approximate Values):** 1. **GSM8K (Pink, Diamonds):** * **Trend:** Starts very high, dips at model 2, plateaus, then recends slightly upward. * **Points:** Model 1: ~95%, Model 2: ~86%, Model 3: ~86%, Model 4: ~91%. 2. **MGSM (Blue, Circles):** * **Trend:** Shows a sharp V-shaped recovery. Starts high, drops significantly at model 2, then climbs back up. * **Points:** Model 1: ~79%, Model 2: ~64%, Model 3: ~83%, Model 4: ~88%. 3. **MATH (Green, Squares):** * **Trend:** Exhibits a strong upward trend after an initial dip. The slope from model 2 to 4 is steep. * **Points:** Model 1: ~53%, Model 2: ~33%, Model 3: ~55%, Model 4: ~68%. 4. **MathVista (Purple, Triangles):** * **Trend:** Follows a similar pattern to MATH but with less extreme values—a dip followed by a steady increase. * **Points:** Model 1: ~53%, Model 2: ~45%, Model 3: ~58%, Model 4: ~64%. 5. **AIME 2025 (Yellow-Green, Circles):** * **Trend:** This series spans models 3-10 and shows high volatility. It starts very low, climbs dramatically to a peak at model 8, drops sharply, then recovers slightly. * **Points:** Model 3: ~15%, Model 4: ~18%, Model 5: ~24%, Model 6: ~30%, Model 7: ~72%, Model 8: ~88%, Model 9: ~50%, Model 10: ~63%. 6. **AIME 2024 (Cyan, Single Diamond):** * **Trend:** Not applicable (single point). * **Point:** Model 8: ~92%. **Spatial Grounding:** The legend labels are positioned in the upper portion of the chart, generally aligned near the final data point of their respective lines (e.g., "GSM8K" is top-left, "AIME 2025" is far right). The "AIME 2024" label is placed directly above its single data point at Model 8. ### Key Observations 1. **Consistent Dip at Model 2:** Four of the five benchmarks (GSM8K, MGSM, MATH, MathVista) show a performance drop for Model 2 compared to Model 1. 2. **Strong Recovery:** Models 3 and 4 show significant recovery and improvement across the initial four benchmarks. 3. **Benchmark Difficulty Spectrum:** There is a clear hierarchy in scores. GSM8K and MGSM generally yield the highest scores (mostly above 60%), MATH and MathVista are in the middle range, and AIME 2025 starts extremely low, indicating it is likely the most challenging benchmark for the earlier models. 4. **AIME 2025 Volatility:** Performance on AIME 2025 is highly non-linear, with a massive jump between models 6 and 7 (~30% to ~72%) and a subsequent crash between models 8 and 9 (~88% to ~50%). 5. **Model 8 Peak:** Model 8 achieves the highest observed score on the chart (~92% on AIME 2024) and the highest on AIME 2025 (~88%), suggesting it is exceptionally strong on this competition-style benchmark. ### Interpretation This chart visualizes the progression of mathematical reasoning capabilities across a series of models. The data suggests that **model architecture or training methodology has a profound and non-uniform impact on different types of mathematical problems.** * The synchronized dip at Model 2 implies a potential architectural choice or training regime that was broadly detrimental to mathematical reasoning, which was subsequently corrected or improved upon in Models 3 and 4. * The stark difference in score ranges between benchmarks like GSM8K (elementary math word problems) and AIME (advanced competition math) highlights the varying difficulty and specificity of these evaluation sets. A model's performance is not transferable uniformly across all math domains. * The dramatic volatility in the AIME 2025 line is particularly noteworthy. It suggests that performance on highly complex, competition-level problems may be fragile—small changes in a model can lead to outsized gains or losses. The peak at Model 8 followed by a drop could indicate overfitting to certain problem types or a lack of robustness. * The single, high AIME 2024 point for Model 8 reinforces its standout performance on competition math, but the lack of data for other models on this benchmark limits broader comparison. **In essence, the chart tells a story of initial struggle (Model 2), recovery and specialization (Models 3-4), and the emergence of a model (Model 8) with exceptional, though potentially brittle, prowess on the most difficult benchmark presented.** The absence of model names means we cannot correlate these trends with specific public models, but the pattern itself is a valuable map of capability development.

# Technical Document Analysis: Line Chart ## 1. Chart Overview The image depicts a **line chart** comparing performance scores of five AI models across 10 model numbers. The chart uses distinct colors for each data series, with a legend positioned at the **top-right corner**. --- ## 2. Axis Labels and Scale - **X-axis**: - Title: `Model Number` - Range: 1 to 10 (integer increments) - **Y-axis**: - Title: `Score (%)` - Range: 0 to 100 (integer increments) --- ## 3. Legend and Data Series The legend identifies five data series with corresponding colors: 1. **GSM8K** (pink) 2. **MGSM** (blue) 3. **MATH** (green) 4. **MathVista** (purple) 5. **AIME 2025** (yellow) **Note**: A cyan data point labeled `AIME 2024` (score: 92) appears at Model 8 but is **not included in the legend**. --- ## 4. Data Points and Trends ### GSM8K (Pink) - **Trend**: Starts high (95 at Model 1), dips slightly (87 at Model 2), then rises to 90 at Model 4. - **Scores**: - Model 1: 95 - Model 2: 87 - Model 3: 86 - Model 4: 90 ### MGSM (Blue) - **Trend**: Sharp decline (80 → 65), followed by recovery (83 → 88). - **Scores**: - Model 1: 80 - Model 2: 65 - Model 3: 83 - Model 4: 88 ### MATH (Green) - **Trend**: Initial drop (53 → 33), then steady increase (55 → 68). - **Scores**: - Model 1: 53 - Model 2: 33 - Model 3: 55 - Model 4: 68 ### MathVista (Purple) - **Trend**: Mild decline (53 → 45), followed by gradual rise (58 → 65). - **Scores**: - Model 1: 53 - Model 2: 45 - Model 3: 58 - Model 4: 65 ### AIME 2025 (Yellow) - **Trend**: Starts low (15 at Model 3), sharp rise (18 → 30), peaks at 90 (Model 8), then declines (50 at Model 9) before recovering (63 at Model 10). - **Scores**: - Model 3: 15 - Model 4: 18 - Model 5: 25 - Model 6: 30 - Model 7: 72 - Model 8: 90 - Model 9: 50 - Model 10: 63 ### AIME 2024 (Cyan) - **Single Data Point**: - Model 8: 92 --- ## 5. Spatial Grounding - **Legend Position**: Top-right corner (outside the main chart area). - **Data Point Alignment**: - All legend colors match their respective lines (e.g., pink = GSM8K). - `AIME 2024` (cyan) is an outlier not tied to the legend. --- ## 6. Component Isolation ### Header - No explicit header text; title inferred from context. ### Main Chart - Five line series with varying trends. - `AIME 2024` (cyan) is a standalone point at Model 8. ### Footer - No footer elements present. --- ## 7. Data Table Reconstruction | Model Number | GSM8K | MGSM | MATH | MathVista | AIME 2025 | AIME 2024 | |--------------|-------|------|------|-----------|-----------|-----------| | 1 | 95 | 80 | 53 | 53 | - | - | | 2 | 87 | 65 | 33 | 45 | - | - | | 3 | 86 | 83 | 55 | 58 | 15 | - | | 4 | 90 | 88 | 68 | 65 | 18 | - | | 5 | - | - | - | - | 25 | - | | 6 | - | - | - | - | 30 | - | | 7 | - | - | - | - | 72 | - | | 8 | - | - | - | - | 90 | 92 | | 9 | - | - | - | - | 50 | - | | 10 | - | - | - | - | 63 | - | --- ## 8. Key Observations 1. **GSM8K** maintains the highest scores overall (86–95 range). 2. **AIME 2025** shows volatility, peaking at Model 8 (90) before dropping. 3. **MATH** and **MathVista** exhibit similar recovery patterns after initial dips. 4. **AIME 2024** (cyan) outperforms all models at Model 8 (92). --- ## 9. Language and Transcription - **Primary Language**: English. - **No Additional Languages Detected**. --- ## 10. Critical Notes - The `AIME 2024` data point (cyan) is not explained in the legend. - `AIME 2025` scores for Models 1–2 are missing. - All trends align with the visual slopes of the lines.