I doubt you will find a solution for this, so this is just a quick observation. :-) If you were just trying to zoom a static image, it wouldn't be too hard, but since you are recomputing the fractal after zooming, it only takes 2 or 3 clicks to quickly drive the cpu into 99% usage, if you expand the canvas.
In your code, you don't enlarge the $c_size to account for the *2 scaling, so the fractal moves right off the canvas. If you scale the $canvas with $c_size *=2; in the sub, you quickly drive the cpu into unusability.
You might want to keep the original fractal, and just adjust the scollregion to make it move to appear to center it where you mouse click. In that case it may be better to write the fractal to an image first.
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