For an optimal map view, please make sure all line elements are turned on:

Routing

Set the activity profile to bicycling and use the following settings:

• Set the slider of road selection one step right from the middle towards highways (shorter distance) or use faster time/slider in the middle. Slider set to highways force the route to use cycleroutes.
  
• Try to avoid: nothing selected
  
• Avoid unpaved roads will not use tracks, (foot)paths, steps, cobblestone roads
  
• Avoid toll roads will use bicycle routes only (alternative: road selection slider set to higways)
  
• Carpool lanes: avoids unpaved roads, footways, steps and gravel bike paths.
  
• To avoid oneway streets that are accessible for cyclists in both directions (but not tagged on osm with cycleway=opposite) setting the transportation to pedestrian will do the trick. Unpaved roads is checked to avoid footways, steps etc.