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May 16th, 2017
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  1. • Determine Total Prof: how much displayed stat is needed to reach x1.68 elemental proficiency.
  2. ◦ TotalProf = PlayerLevel * 1.68
  3. = (423) * 1.68
  4. = 710.64
  5.  
  6. • Subtract out base elemental proficiency and boost from Eminent Elementalist perk (+10% elemental proficiency) to find how much displayed proficiency is needed on equipment.
  7. ◦ TargetProf = TotalProf - (PlayerLevel) (PlayerLevel * 0.1) -
  8. = (710.64) - (423.00) - (42.3)
  9. = 244.7
  10.  
  11. • Convert TargetProf from displayed stat to base stat.
  12. ◦ TargetProf = 244.7
  13. ◦ ScaledStat = (1 + PlayerLevel / LevelFactor) * BaseStat [https://ehwiki.org/wiki/Level_Scaling]
  14. ◦ TargetBaseStat = ScaledStat / (1 + PlayerLevel / LevelFactor)
  15. = (244.7) / (1 + (423 / (250/7) )
  16. = 19.05
  17.  
  18. ---
  19.  
  20. • Determine amount of forging on Staff and Robe needed to reach TargetBaseStat.
  21. ◦ StaffBaseProf = 6.04
  22. ◦ RobeBaseProf = 9.53
  23. ◦ EquipBaseProf = StaffBaseProf + RobeBaseProf
  24. = (6.04) + (9.53)
  25. = 15.57
  26.  
  27. ◦ TargetBaseStat = EquipBaseProf * UpgradeFactor
  28. UpgradeFactor = 1 + 0.2 * ln(0.1 * ForgeCount + 1) [https://ehwiki.org/wiki/Upgrade#Upgrading]
  29. TargetBaseStat = EquipBaseProf * [1 + 0.2 *ln(0.1 * ForgeCount + 1)]
  30. TargetBaseStat / EquipBaseProf = [1 + 0.2 *ln(0.1 * ForgeCount + 1)]
  31. (TargetBaseStat / EquipBaseProf) - 1 = [0.2 *ln(0.1 * ForgeCount + 1)]
  32. [[(TargetBaseStat / EquipBaseProf) - 1] / 0.2] = ln(0.1 * ForgeCount + 1)
  33. e^[[(TargetBaseStat / EquipBaseProf) - 1] / 0.2] = (0.1 * ForgeCount + 1)
  34. e^[[(TargetBaseStat / EquipBaseProf) - 1] / 0.2] - 1 = 0.1 * ForgeCount
  35. ForgeCount = [e^[[(TargetBaseStat / EquipBaseProf) - 1] / 0.2] - 1] / 0.1
  36. = [e^[[(19.05 / 15.57) - 1] / 0.2] - 1] / 0.1
  37. = 20.57
  38. ~ 21
  39.  
  40. • Doublecheck that ForgeCount is correct.
  41. TargetBaseStat = EquipBaseProf * [1 + 0.2 *ln(0.1 * ForgeCount + 1)]
  42. = (15.57) * [1 + 0.2 *ln(0.1 * (21) + 1)]
  43. = 19.09
  44. 19.05 ~ 19.09
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