How fast can I say your program?
Java 8, score 846 838 822 816

ௐ-&gt;ௐ.map(ˇ-&gt;Character.getName(ˇ).length()).sum()

-8 score thanks to @tsh replacing the _1 with ꀊ.
-22 score thanks to @ASCII-only replacing the ꀊ with ˇ and $ with ௐ.
Try it online.
Explanation:
The ௐ and ˇ are used instead of the s and c I would normally use, because lowercase letters are all 20 (i.e. LATIN SMALL LETTER S), but ௐ (TAMIL OM) is 8 and ˇ (CARON) is 5.
ௐ-&gt;                         // Method with IntStream parameter and integer return-type
  ௐ.map(ˇ-&gt;                 //  Map each character to:
      Character.getName(ˇ)  //   Get the name of the character
               .length())   //   Get the length of that name
   .sum()                   //  And after the map: sum all lengths together,
                            //  and return it as result