To understand and analyze the Roofline Performance Model for computational performance optimization. This experiment aims to:

1. Understand Performance Bounds: Learn how the Roofline model visualizes theoretical performance upper bounds based on the interplay between memory bandwidth and computational throughput across different computer architectures.

2. Analyze Operational Intensity: Explore how the ratio of floating-point operations to memory traffic (operational intensity) determines whether applications are memory-bound or compute-bound, and understand its implications for optimization strategies.

3. Compare Architectural Characteristics: Examine different processor architectures (Apple Silicon, Intel Xeon, NVIDIA GPU) through their roofline characteristics, understanding the trade-offs between memory bandwidth and peak compute capabilities.

4. Identify Performance Bottlenecks: Learn to plot application performance points and analyze whether applications are limited by memory bandwidth or computational capability, enabling targeted optimization approaches.

5. Develop Optimization Strategies: Gain insights into how to optimize applications based on their position in the roofline space, including techniques for increasing operational intensity, improving memory utilization, and maximizing compute resource usage.