Our accumulators are also run as SolarFlare describes (we are under FEI regulations).
The course is set up out of 9 jumps, with a prescribed line of jumping. Jump 1 counts 1 (or 10) points, jump 2 counts 2 (or 20) points, jump 3 counts 3 (or 30) points and so on. Jump 9 will have two options, a normal fence at or under the prescribed height with nothing “scary” or tricky about it - this jump counts 9 or 90 points. Then the second option is the Joker - this is a higher jump, normally 10cm higher and can have a scary aspect to it, like a water tray or fillers etc. The Joker counts for double points, so 18 or 180 points.
For every jump you jump and leave up, you get those points. If you knock a jump, you don’t get those points. A full house (cleared all the jumps and chose the Joker) is 56 or 560 points. If more than one competitor has 56 points, then first place goes to the fastest time and so forth.
(Sidenote: the higher figures are just multiples of 10. Not sure why some places do it like that, but it is done.)