You can use the R package DiceOptim to choose the next point to run your expensive simulator. Here’s a gif of function EGO.nsteps() in action, choosing one point at a time, with an initial design of three points.
It doesn’t behave in exactly the way I expected, putting lots of points in that well at around 7. I might have coded it wrong, however.
Getting a gif to the right size to go on twitter – https://dev.twitter.com/rest/media/uploading-media#gifrecs
convert do.gif -coalesce temporary.gif
convert -size temporary.gif -resize 24×24 smaller.gif