Method A: Fix logo positions for log scale x-axis

Transform image x-coordinates to log10(x) since Plotly layout images
expect log-scale coordinates when the axis type is 'log'.

Also adjusted logo size to work better with log scale units.

Co-authored-by: openhands <openhands@all-hands.dev>

leaderboard_transformer.py

@@ -570,6 +570,7 @@ def _plot_scatter_plotly(
     ))
     
     # Add company logo images for each data point
+    # Note: For log scale axes, layout images need log10(x) coordinates
     for _, row in data_plot.iterrows():
         model_name = row.get('Language Model', '')
         company_info = get_company_from_model_name(model_name)
@@ -582,15 +583,23 @@ def _plot_scatter_plotly(
                     encoded_logo = base64.b64encode(f.read()).decode('utf-8')
                     logo_uri = f"data:image/svg+xml;base64,{encoded_logo}"
                     
-                    # Calculate logo size based on data range (linear scale)
-                    logo_size_x = max_reported_cost * 0.04 if max_reported_cost > 0 else 0.3
-                    logo_size_y = 2.5  # Fixed y size in data units
+                    # Get x position - for log scale, use log10 of the value
+                    x_val = row[x_col_to_use]
+                    if x_val > 0:
+                        x_pos = np.log10(x_val)
+                    else:
+                        x_pos = -1  # Place at 0.1 on log scale for zero/negative values
+                    
+                    # Calculate logo size in log scale units
+                    # On log scale, a fixed size in log units gives consistent visual size
+                    logo_size_x = 0.15  # Size in log10 units
+                    logo_size_y = 2.5   # Fixed y size in data units
                     
                     layout_images.append(dict(
                         source=logo_uri,
                         xref="x",
                         yref="y",
-                        x=row[x_col_to_use],
+                        x=x_pos,
                         y=row[y_col_to_use],
                         sizex=logo_size_x,
                         sizey=logo_size_y,