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Cache Hit Ratio Calculator

Calculate cache hit and miss rates from access counts.
Includes effective memory access time (EMAT) speedup over a no-cache baseline for performance analysis.

Cache Performance

The cache hit ratio is one of the most important metrics in computer architecture and system performance. It measures how often the CPU finds requested data in fast cache memory versus having to wait for slow main memory.

The basic formula:

h = cache_hits / total_accesses

Hit rate is a fraction between 0 and 1, often expressed as a percentage. Miss rate is just (1 − h). For modern CPUs, L1 cache hit rates of 90–99% are typical; databases and web servers obsess over hit rates because every percentage point can mean a measurable change in real-world latency.

Effective memory access time (EMAT):

EMAT = h × t_cache + (1 − h) × (t_cache + t_memory)

The hit case takes t_cache nanoseconds. The miss case first checks the cache (t_cache), then goes to main memory (t_memory), so the miss penalty includes both. Some architectures look up cache and memory in parallel; for those:

EMAT = h × t_cache + (1 − h) × t_memory

The two forms differ by t_cache × (1 − h), which is usually small for high hit rates.

Memory hierarchy timings — what you are working against:

Level Typical latency Capacity
L1 cache 1–4 ns 32–512 KB per core
L2 cache 4–12 ns 256 KB – 4 MB per core
L3 cache 20–50 ns 8–64 MB shared
Main RAM (DDR4/5) 60–100 ns 8 GB – 1 TB
NVMe SSD 100,000 ns (0.1 ms) 256 GB – 8 TB
HDD 10,000,000 ns (10 ms) 1–20 TB

Each level is roughly 10× larger and 10× slower than the previous. The factor-of-100,000 gap between main RAM and SSD is why memory caching at the OS, database, and application layers is the difference between a snappy system and an unusable one.

Worked example: Cache time = 5 ns, main memory = 100 ns, hit ratio = 90%.

EMAT = 0.90 × 5 + 0.10 × (5 + 100) = 4.5 + 10.5 = 15 ns

A no-cache system (always go to main memory) would take 100 ns per access. So the cache is delivering a 6.7× speedup, even at a “merely good” 90% hit rate.

Why pushing the hit rate up matters so much: Same cache (5 ns) and memory (100 ns) timings, but bump the hit rate to 99%:

EMAT = 0.99 × 5 + 0.01 × 105 = 4.95 + 1.05 = 6 ns

Going from 90% to 99% hit rate cut average latency from 15 ns to 6 ns. Cache miss cost is what dominates: the same 9 percentage points of misses at a 100× penalty drives most of the average. This is why CPU designers spend enormous effort on prefetchers and branch predictors — every miss avoided pays a 100× return.

Multi-level caches (L1, L2, L3): For a 3-level hierarchy, only check the next level on a miss:

EMAT = h₁·t₁ + (1−h₁)·h₂·t₂ + (1−h₁)·(1−h₂)·h₃·t₃ + (1−h₁)·(1−h₂)·(1−h₃)·t_ram

The arithmetic is the same idea, just chained. Real CPUs are even more complex because they overlap accesses, but for performance modeling the chained formula is usually accurate to within a few percent.

Cache hit rates in practice:

  • CPU L1 cache: 95–99% on typical code, lower on cache-unfriendly workloads (pointer-chasing data structures, random hash table lookups)
  • CPU L3 cache: 90–99% (note these “miss-conditional” rates count only accesses that already missed L1 and L2)
  • Database buffer cache: 95%+ in steady state for OLTP workloads; cold cache after restart can drop to 50% briefly
  • Redis / Memcached: 90%+ for session caching; 99%+ for fully warm idempotent caches
  • CDN edge cache: 80–95% for typical websites; the long tail of unique URLs limits the ceiling
  • Web browser cache: highly variable, often 30–60% for cold browsing, 90%+ for return visits

What to optimize when hit rate is low:

  1. Increase cache size if you keep displacing useful entries. Doubles capacity roughly halves capacity-related misses.
  2. Improve locality of your code or data access pattern. Sequential scans cache much better than random access.
  3. Better eviction policy (LRU, LFU, ARC). Random or FIFO often underperforms vs. LRU for most workloads.
  4. Prefetching for predictable access patterns. CPU hardware prefetchers handle this for sequential code automatically.
  5. Reduce working-set size if possible. A 1 GB hot dataset fits in L3 cache; 100 GB does not.

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