ΔE 26.9, loose: different enough that you should pick on purpose. Cerulean Blue, Chromium is noticeably lighter, much more saturated, warmer than Regal Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 27). Cerulean Blue, Chromium is noticeably lighter, much more saturated, warmer than Regal Blue.
The same difference applies the other way round: Regal Blue is noticeably darker, much more muted, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Regal Blue on the colour wheel See Cerulean Blue, Chromium on the colour wheel
All matches: Regal Blue equivalents · Cerulean Blue, Chromium equivalents