👉 Cache math is a mathematical framework used to model and analyze the behavior of cache systems, which are crucial components in computer architecture for improving data access speed by storing frequently accessed data closer to the processor. It involves defining key metrics such as hit rate, miss rate, cache size, and access patterns (e.g., random, sequential). The hit rate is the ratio of cache hits to total accesses, while the miss rate is the complement. Cache performance can be described using equations like the cache hit ratio (HR = hits / (hits + misses)), which helps in understanding how well the cache is performing. Cache behavior is often modeled using simple mathematical functions like the geometric series for sequential access or more complex models for random access, such as the cache hit probability function. These models allow designers to predict cache performance under various conditions and optimize cache configurations for better efficiency.
