unbureaucratically

The story

1. Proto-Indo-European*né
2. Proto-Indo-European*n̥-
3. Proto-Germanic*un-
4. Proto-West Germanic*un-
5. Old Englishun-
6. Middle Englishun-
7. Englishun-
8. Proto-Indo-European*péh₂wr̥
9. Proto-Hellenic*pāwər
10. Ancient Greekπῦρ (pûr)
11. Ancient Greekπῠρρός (pŭrrhós)
12. Latinburrus
13. Latinburra
14. Old French*bure
15. Old Frenchburel
16. Frenchbureau
17. Proto-Indo-European*kret-
18. Ancient Greekκρᾰ́τος (krắtos)
19. Frenchbureaucratie
20. Frenchbureaucrate
21. Frenchbureaucratie
22. Frenchbureaucratique
23. Englishbureaucratic
24. Englishunbureaucratic
25. Proto-Indo-European*h₂el-
26. Proto-Indo-European*h₂élisder.?
27. Proto-Indo-European*leyg-
28. Proto-Germanic*līką
29. English todayunbureaucratically

From unbureaucratic + -ally.