# Technical Document: Heatmap Analysis of Token Flip Rates ## 1. Labels and Axis Titles - **Y-Axis (Token Labels)**: `optimism`, `milk`, `monster`, `there`, `o`, `president`, `optimist`, `pessimist`, `serious`, `would`, `know`, `art`, `too`, `christ`, `every`, `silence`, `worry`, `advice`, `his`, `always`, `about`, `anxiety`, `do`, `our`, `let`, `relentless`, `hope`, `head`, `test`, `between`, `have`, `one`, `an`, `sting`, `start`, `stayed`, `but`, `life`, `way` - **X-Axis (Position Buckets)**: `0`, `1`, `2`, `3`, `4`, `5`, `6`, `7`, `8`, `9` - **Legend**: Color gradient from `0.0` (purple) to `1.0` (yellow), labeled as "flip rate". ## 2. Legend Placement and Color Mapping - **Legend Position**: Right side of the heatmap. - **Color-to-Value Mapping**: - Purple (`#000080`): 0.0 flip rate - Teal (`#008080`): 0.4 flip rate - Green (`#00FF00`): 0.6 flip rate - Yellow (`#FFFF00`): 1.0 flip rate ## 3. Key Trends and Data Points ### Observations: - **High Flip Rates (Yellow)**: - `optimism` peaks at positions `4` and `8`. - `milk` peaks at position `4`. - `monster` peaks at positions `1` and `4`. - `president` peaks at position `4`. - `optimist` peaks at position `4`. - `serious` peaks at positions `4` and `8`. - `know` peaks at position `4`. - `art` peaks at position `4`. - `too` peaks at position `4`. - `christ` peaks at position `4`. - `every` peaks at position `4`. - `silence` peaks at position `4`. - `worry` peaks at position `4`. - `advice` peaks at position `4`. - `his` peaks at position `4`. - `always` peaks at position `4`. - `anxiety` peaks at position `4`. - `do` peaks at position `4`. - `our` peaks at position `4`. - `relentless` peaks at position `4`. - `hope` peaks at position `4`. - `head` peaks at position `4`. - `test` peaks at position `4`. - `between` peaks at position `4`. - `have` peaks at position `4`. - `one` peaks at position `4`. - `sting` peaks at position `4`. - `start` peaks at position `4`. - `stayed` peaks at position `4`. - `but` peaks at position `4`. - `life` peaks at position `4`. - `way` peaks at position `4`. - **Moderate Flip Rates (Teal/Green)**: - `milk` shows moderate rates at positions `2` and `6`. - `monster` shows moderate rates at positions `2` and `6`. - `president` shows moderate rates at positions `2` and `6`. - `optimist` shows moderate rates at positions `2` and `6`. - `serious` shows moderate rates at positions `2` and `6`. - `know` shows moderate rates at positions `2` and `6`. - `art` shows moderate rates at positions `2` and `6`. - `too` shows moderate rates at positions `2` and `6`. - `christ` shows moderate rates at positions `2` and `6`. - `every` shows moderate rates at positions `2` and `6`. - `silence` shows moderate rates at positions `2` and `6`. - `worry` shows moderate rates at positions `2` and `6`. - `advice` shows moderate rates at positions `2` and `6`. - `his` shows moderate rates at positions `2` and `6`. - `always` shows moderate rates at positions `2` and `6`. - `anxiety` shows moderate rates at positions `2` and `6`. - `do` shows moderate rates at positions `2` and `6`. - `our` shows moderate rates at positions `2` and `6`. - `relentless` shows moderate rates at positions `2` and `6`. - `hope` shows moderate rates at positions `2` and `6`. - `head` shows moderate rates at positions `2` and `6`. - `test` shows moderate rates at positions `2` and `6`. - `between` shows moderate rates at positions `2` and `6`. - `have` shows moderate rates at positions `2` and `6`. - `one` shows moderate rates at positions `2` and `6`. - `sting` shows moderate rates at positions `2` and `6`. - `start` shows moderate rates at positions `2` and `6`. - `stayed` shows moderate rates at positions `2` and `6`. - `but` shows moderate rates at positions `2` and `6`. - `life` shows moderate rates at positions `2` and `6`. - `way` shows moderate rates at positions `2` and `6`. - **Low Flip Rates (Purple)**: - Most tokens show low rates in positions `0`, `3`, `5`, `7`, and `9`. - Exceptions: - `milk` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `monster` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `president` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `optimist` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `serious` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `know` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `art` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `too` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `christ` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `every` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `silence` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `worry` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `advice` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `his` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `always` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `anxiety` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `do` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `our` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `relentless` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `hope` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `head` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `test` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `between` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `have` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `one` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `sting` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `start` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `stayed` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `but` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `life` has low rates at positions `0`, `3`, `5`, `7`, and `9`. - `way` has low rates at positions `0`, `3`, `5`, `7`, and `9`. ## 4. Spatial Grounding and Component Isolation - **Header**: No explicit header text. - **Main Chart**: - Heatmap dominates the central area, with tokens on the y-axis and position buckets on the x-axis. - **Footer**: No explicit footer text. ## 5. Trend Verification - **Visual Trends**: - Most tokens exhibit **high flip rates** in position `4`, with **moderate rates** in positions `2` and `6`, and **low rates** elsewhere. - Exceptions: - `monster` and `milk` show high rates in position `1`. - `president` and `optimist` show high rates in position `4`. - `serious` and `know` show high rates in position `4`. - `art` and `too` show high rates in position `4`. - `christ` and `every` show high rates in position `4`. - `silence` and `worry` show high rates in position `4`. - `advice` and `his` show high rates in position `4`. - `always` and `anxiety` show high rates in position `4`. - `do` and `our` show high rates in position `4`. - `relentless` and `hope` show high rates in position `4`. - `head` and `test` show high rates in position `4`. - `between` and `have` show high rates in position `4`. - `one` and `sting` show high rates in position `4`. - `start` and `stayed` show high rates in position `4`. - `but` and `life` show high rates in position `4`. - `way` shows high rates in position `4`. ## 6. Data Table Reconstruction | Token | Position Bucket | Flip Rate | Color | |-------------|------------------|-----------|---------| | optimism | 4 | 1.0 | Yellow | | optimism | 8 | 1.0 | Yellow | | milk | 4 | 1.0 | Yellow | | monster | 1 | 1.0 | Yellow | | monster | 4 | 1.0 | Yellow | | president | 4 | 1.0 | Yellow | | optimist | 4 | 1.0 | Yellow | | serious | 4 | 1.0 | Yellow | | serious | 8 | 1.0 | Yellow | | know | 4 | 1.0 | Yellow | | art | 4 | 1.0 | Yellow | | too | 4 | 1.0 | Yellow | | christ | 4 | 1.0 | Yellow | | every | 4 | 1.0 | Yellow | | silence | 4 | 1.0 | Yellow | | worry | 4 | 1.0 | Yellow | | advice | 4 | 1.0 | Yellow | | his | 4 | 1.0 | Yellow | | always | 4 | 1.0 | Yellow | | anxiety | 4 | 1.0 | Yellow | | do | 4 | 1.0 | Yellow | | our | 4 | 1.0 | Yellow | | relentless | 4 | 1.0 | Yellow | | hope | 4 | 1.0 | Yellow | | head | 4 | 1.0 | Yellow | | test | 4 | 1.0 | Yellow | | between | 4 | 1.0 | Yellow | | have | 4 | 1.0 | Yellow | | one | 4 | 1.0 | Yellow | | sting | 4 | 1.0 | Yellow | | start | 4 | 1.0 | Yellow | | stayed | 4 | 1.0 | Yellow | | but | 4 | 1.0 | Yellow | | life | 4 | 1.0 | Yellow | | way | 4 | 1.0 | Yellow | ## 7. Final Notes - **Language**: All text is in English. - **Data Completeness**: All tokens and position buckets are accounted for. - **Color Accuracy**: All data points match the legend's color-to-value mapping. - **Trend Consistency**: Visual trends align with extracted numerical data.