I have a loop in which I'm adding many (10000+) lines to a UIBezierPath. This seems to be fine, but once I try and render the bezierpath, my device becomes extremely slow and jerky. Is this because I've added too many lines to my path?

Adding lines to UIBezierPath - simplified: (this seems fine)

[path moveToPoint:CGPointZero];

   for (int i = 0; i < 10000; i++ ) {      
           [path addLineToPoint:CGPointMake(i, i)];
    }

Rendering BeizerPath (Suggested by Rob) - this seems slow.

- (void)drawBezierAnimate:(BOOL)animate
{
    UIBezierPath *bezierPath = path;

    CAShapeLayer *bezier = [[CAShapeLayer alloc] init];

    bezier.path          = bezierPath.CGPath;
    bezier.strokeColor   = [UIColor blueColor].CGColor;
    bezier.fillColor     = [UIColor clearColor].CGColor;
    bezier.lineWidth     = 2.0;
    bezier.strokeStart   = 0.0;
    bezier.strokeEnd     = 1.0;
    [self.layer addSublayer:bezier];

    if (animate)
    {
        CABasicAnimation *animateStrokeEnd = [CABasicAnimation animationWithKeyPath:@"strokeEnd"];
        animateStrokeEnd.duration  = 100.0;
        animateStrokeEnd.fromValue = [NSNumber numberWithFloat:0.0f];
        animateStrokeEnd.toValue   = [NSNumber numberWithFloat:1.0f];
        [bezier addAnimation:animateStrokeEnd forKey:@"strokeEndAnimation"];
    }
}

Qs:

1) Is this because I'm adding too many paths too quickly?

2) I want to eventually draw many different lines of different colors, so I assume I would need to create multiple (10000+) UIBezierPaths - would this help or greatly slow the device as well?

3) How would I get around this?

Thanks in advance for your help.