Picture Rendering is CPU Intensive

I am displaying multiple graphs in my current flash project. Each graph is fairly big, so for each pixel in the horizontal direction, there is at least one data point. This results in tens of thousands of line segments that flash has to render. However, these line segments are also static.

My question: is the load on my cpu directly caused by these graphs. If so, is there a way to tell flash to stop redrawing them? Also, when I move my mouse over the swf, the load on the cpu drastically increases. Is this related, and what might some ideas to fix this be?

Thank you for any help