1/(6 Sqrt[2]) (-Pi^2 Log[2] - 
   3 (Log[2] (Log[2]^2 + Log[8] Log[1 + Sqrt[2]] + 
         8 PolyLog[2, 1/Sqrt[2]]) + 
      Log[8 (3 + 2 Sqrt[2])] (-PolyLog[2, 1/2 - 1/Sqrt[2]] + 
         PolyLog[2, 1/4 (2 - Sqrt[2])]) - 
      Log[24 - 16 Sqrt[2]] PolyLog[2, 1/4 (2 + Sqrt[2])] + 
      4 PolyLog[3, -Sqrt[2]] - 
      2 (PolyLog[3, 1/2 - 1/Sqrt[2]] - PolyLog[3, 1/4 (2 - Sqrt[2])] +
          PolyLog[3, 1/4 (2 + Sqrt[2])]) + 
      Re[Log[24 - 16 Sqrt[2]] PolyLog[2, 1/2 + 1/Sqrt[2]] - 
        4 PolyLog[3, Sqrt[2]] + 2 PolyLog[3, 1/2 + 1/Sqrt[2]]]))