Overview
An eviction policy decides which resident entry a cache removes when a new entry is admitted beyond capacity. Four policies cover almost every replay-and-measure task:
| Policy | Data structure | On hit | On admit | Eviction choice |
|----------|---------------------------------|------------------------------|--------------------------------------|---------------------------------------------------|
| LRU | OrderedDict | Move to tail | Append at tail | Pop head |
| LFU | {key: freq} + insertion order | freq[k] += 1 | freq[k] = 1 | Min freq, tiebreak by insertion order |
| FIFO | OrderedDict | Nothing | Append at tail | Pop head |
| S3FIFO | Three FIFO queues + freq[k] | freq[k] = min(freq+1, cap) | Admit to small; ghost-hit admits to main | Second-chance on main; small drains to main/ghost |
Each has subtleties that trip naive implementations.
LRU
Use an OrderedDict where the tail is the most-recently-accessed key. On hit, move_to_end. On miss + insert, append; pop from head if over capacity.
Most common bug: forgetting to update recency on a hit. Without the refresh, LRU degenerates to FIFO — hit rate drops substantially on any workload with recency structure.
from collections import OrderedDict
class LRU:
def __init__(self, capacity):
self.capacity = capacity
self._d = OrderedDict()
def contains(self, k): return k in self._d
def access(self, k):
if k in self._d:
self._d.move_to_end(k)
else:
self._d[k] = None
if len(self._d) > self.capacity:
self._d.popitem(last=False)
LFU
Keep freq: dict[key, int] and a tie-breaker — an insertion counter is simplest and deterministic. On hit, increment freq[k]. On miss at capacity, evict min(freq) with ties broken by insertion order (oldest first).
Typical bugs:
- No tie-breaker.
min(freq.items(), key=lambda x: x[1])[0]has implementation-defined behaviour across interpreters and distributions. Always include a secondary key. - Frequency pollution. A block that was hot once and then went cold can linger forever because its freq is permanently above newcomers. Production systems add aging (periodic decay of freq) or combine with a recency signal (W-TinyLFU). Pure LFU is correct for the task as specified but fragile in practice.
FIFO
One queue, insertion order, no hit-time update. Useful as a lower-bound baseline.
Do NOT call it "LRU without hit update" — conceptually different even when implementations overlap. Hit on a FIFO cache is still a hit for accounting; the block just does not change rank.
S3FIFO
A modern FIFO-family policy (Yang et al., SOSP 2023) that matches or beats LRU on typical web and LLM workloads with a fraction of the bookkeeping cost — which is why recent production systems (Twitter, Google) have been switching to it. The full algorithm — three queues, saturating frequency counter, second-chance eviction on the main queue — is implemented in the prefix-cache-replay skill. Consult that skill if your task uses S3FIFO.
Workload implications
- Strong recency → LRU wins slightly.
- Stable hot set with long tail (Zipf) → LFU or S3FIFO.
- Nearly uniform random → all converge toward
capacity / working_sethit rate. - Prefix-shared LLM workloads are mixed — shared prefixes are both recent and frequent, so LRU/LFU/S3FIFO typically sit within a few percent of each other at the same capacity, but they differ in which blocks remain resident at end-of-trace, and their miss-handling costs diverge. Measure, don't assume.
Comparing hit rates on a trace
Replay the same trace through each policy at identical capacity, record total_hit_tokens / total_prompt_tokens and the final resident set. Do not compare hit rate alone — also compare:
- Final residency — how many unique blocks are resident at the end. Under S3FIFO this is often strictly less than capacity because ghost entries absorb the admission pressure.
- Per-request hit-token distribution — two policies can have similar overall hit rate but very different per-request variance.
- Admission effort — under policies with ghost structures, the bookkeeping cost per access is non-trivial.
Common mistakes
- Reusing an LRU implementation when the task specifies S3FIFO (or vice versa). The final hit rate and residency will both differ; no partial credit for "close enough".
- Making ghost count as resident, or treating a ghost hit as a hit for token accounting.
- Forgetting to saturate
freq— unbounded counters turn the main-queue second-chance loop into a spin. - Under LFU, using Python
min(d.items(), key=d.get)without an explicit insertion-order tiebreaker. - Misordering admission and residency check. Always check
h ∈ cacheBEFORE applying the admission side effects of the current request, otherwise every request self-hits. - Final cache size off by small constants because you forgot to exclude ghost or you forgot to subtract the S-cap vs M-cap split.