What are the Haste breakpoints for Holy Fire?

Glyph of Smite gives a 20% increase to Smites cast on targets burning with Holy Fire.
At 0% haste, unglyphed Holy Fire allows 4 Smites. Glyphed Holy Fire only allows 3 smites, because the burn begins at the start of the gcd instead of the end of a cast.
At 7.4% haste, I see that holy fire burns for 7.4 seconds, and smite casts in 1.4 seconds. This allows 5 smites during an unglyphed holy fire burn.
What are the haste breakpoints which would let Holy Fire (glyphed or not) burn relatively longer, allowing more smiting?

The GCD (for instant holy fire) and the cast time of Smite at 0% haste are both 1.5 seconds. Haste speeds up all three (ticks, GCD, Smite) equally up to 50% haste (when it stops affecting GCD). While evaluating less than 50% Haste, we can just use ticks instead of seconds. (GCD = 1.5 ticks, Smite = 1.5 ticks).
According to the formula in this article, extra ticks occur at the following breakpoints.
0.0% haste for 7 ticks 7.5/7 = 1.0714 = 7.2% haste for 8 ticks 8.5/7 = 1.2142 = 21.5% haste for 9 ticks 9.5/7 = 1.3571 = 35.8% haste for 10 ticks 10.5/7 = 1.5 = 50.0% haste for 11 ticks
So, Unglyphed Holy Fire breakpoints are:
0.0% haste for 7 ticks and 4 smites 7.2% haste for 8 ticks and 5 smites 21.5% haste for 9 ticks and 6 smites (exactly) 35.8% haste for 10 ticks and 6 smites 50.0% haste for 11 ticks and 7 smites
And Glyphed Holy Fire breakpoints are:
0.0% haste for 7 ticks and 3 smites 7.2% haste for 8 ticks and 4 smites 21.5% haste for 9 ticks and 5 smites (exactly) 35.8% haste for 10 ticks and 5 smites 50.0% haste for 11 ticks and 6 smites