What dimensions are most important to your customer?
You can grade accuracy by dividing the number of correctly placed elements by the number of total elements. If that's the sole concern, it's really that simple.
You can grade speed by timing how long it takes the algorithm to complete. You may want to run it a number of times and take an average, since wall-clock runtime varies from run to run. If your customer is solely concerned with speed, this will be the measure you'll want.
If your customer is concerned about both speed and accuracy, you'll need to weight the scores. How important is speed compared to accuracy? If it's 50/50, you can give the faster algorithm one point and the more accurate algorithm one point and see if one is clearly better or if they are tied. If one factor is more important than the other, you'll want to weight the scores appropriately, maybe two points for accuracy and one for speed.
If you're concerned with another metric, like CPU usage or file size or memory usage, you'll need to measure that, and consider it in your final weighted algorithm. You may want to create a scoring algorithm, such as accuracy + (speed in seconds)/2 + filesize*10 and then rank the two approaches by final score. Again, it depends heavily on how important each factor is in the overall quality assessment.
