efficiencyPublished: August 7, 2026

CoinRAG: Contextualized Information Nugget KV Cache Reuse for Long-Context RAG

By Gyuwan Kim, Cheoneum Park, Tao Yang

Research TL;DR

"CoinRAG reuses fine-grained 'nugget' KV caches via two-stage retrieval, assembling only query-relevant slices with chunk context, cutting prefill costs while improving F1 by ~5.3% on LongBench."

Abstract

Recent optimization studies on Retrieval-Augmented Generation (RAG) have exploited chunk-level KV cache reuse to avoid processing long retrieved contexts for higher efficiency, while significant information redundancy and noise still remain in the coarse-grained chunks. This paper optimizes the Pareto frontier under low prefill latency constraints while maximizing accuracy by proposing CoinRAG (Contextualized Information Nugget KV Cache Reuse for Long-Context RAG). The name metaphorically reflects our core mechanism: much like assembling small tokens (or "coins") to accumulate a larger value, CoinRAG compositionally reuses offline-computed, fine-grained nugget caches to form a learned contextual representation efficiently in a more semantically relevant but compact manner. Specifically, instead of full-chunk encoding, CoinRAG identifies query-relevant semantic units within retrieved chunks through two-stage retrieval and seamlessly assembles their sliced KV representations with a chunk-level context. Extensive evaluations on LongBench multi-hop question answering tasks demonstrate that CoinRAG significantly reduces operational costs and outperforms the other baselines with a new Pareto frontier and an average 5.3% relative improvement in answer quality (F1) under a standard fast prefill latency budget.

Technical Analysis & Implementation

Overview§

CoinRAG addresses the inefficiency of chunk-level KV cache reuse in Retrieval-Augmented Generation (RAG). Instead of decoding with long, noisy retrieved chunks, it identifies query-relevant information nuggets (sub-chunk semantic units such as sentences or phrases) and reuses their precomputed KV slices. By assembling these slices with chunk-level contextual information, CoinRAG achieves a better Pareto frontier between prefill latency and answer accuracy.

Core Methodology§

Information Nuggets and Offline Caching. Each retrieved chunk is decomposed into nuggets $\mathcal{N} = \{n_1, \dots, n_k\}$. For every nugget, the key/value vectors are precomputed using a frozen encoder and stored as KV slices indexed by token spans. This avoids recomputing representations at query time.

Two-Stage Retrieval.

  1. Chunk retrieval: Standard dense retrieval selects top-$K$ chunks for the query $q$.
  2. Nugget retrieval: Within each selected chunk, a lightweight cross-encoder scores each nugget by relevance to $q$:

$$ \text{score}(n_i, q) = \text{FFN}([\text{enc}(n_i); \text{enc}(q)]) $$

The top-$m$ nuggets are kept, discarding irrelevant parts of the chunk.

Contextualized KV Assembly. The selected nugget KV slices are combined with a compressed representation of the remaining chunk context to preserve global semantics. Let the chunk's KV cache be $(K^C, V^C)$ and selected nugget spans be $\{(s_j, e_j)\}$. The assembled cache is:

$$ K_{\text{ctx}} = [K^C_{\text{prefix}}; K^C_{s_1:e_1}; \dots; K^C_{s_m:e_m}; K^C_{\text{suffix}}] $$

with $V_{\text{ctx}}$ analogously. To avoid losing inter-nugget dependencies, a small contextualizer transformer applies a self-attention over these slices, allowing the nuggets to exchange information while keeping the total length far below the original chunk.

Implementation Sketch§

The system is straightforward to plug into existing RAG pipelines. The following PyTorch pseudo-code illustrates the core operations:

class CoinRAG:
    def __init__(self, encoder, selector):
        self.encoder = encoder      # frozen LLM or cross-encoder
        self.selector = selector    # nugget relevance scorer

    @torch.no_grad()
    def precompute_chunk(self, chunk_ids):
        out = self.encoder(chunk_ids, output_attentions=True)
        # store full KV and hidden states as a tensor of shape [L, H]
        return {"kv": out.past_key_values, "hidden": out.last_hidden_state}

    def select_nuggets(self, query_emb, chunk_data, spans, top_m):
        nugget_emb = [chunk_data["hidden"][s:e].mean(0) for s, e in spans]
        scores = self.selector(query_emb, torch.stack(nugget_emb))
        top_idx = scores.topk(min(top_m, len(spans))).indices
        return [spans[i] for i in top_idx]

    def assemble_kv(self, chunk_kv, selected_spans):
        K, V = chunk_kv  # shape: [L, H]
        slices = [K[s:e] for s, e in selected_spans]
        # optional: prepend a chunk summary token
        return torch.cat([K[:1]] + slices, dim=0), torch.cat([V[:1]] + slices, dim=0)

Results and Impact§

On LongBench multi-hop QA, CoinRAG outperforms chunk-level KV reuse baselines by an average 5.3% F1 while respecting low prefill latency budgets. The key insight is that not all tokens contribute equally; isolating and reusing only relevant information nuggets dramatically reduces the KV cache footprint without sacrificing answer quality. This makes it particularly attractive for serving large-scale RAG systems with tight latency constraints.

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Interactive LLM Token & Cost Calculator

Estimate token usage and model pricing. Enter your prompt below to see how it is parsed into tokens and calculate the exact API cost for different providers.

Context Window1,000,000 tokens
Visual Tokenizer Chunks
Language models do not read text like humans. Instead, they process text in chunks called tokens. A token can be a single character, a syllable, a word, or even part of a word (like the "ing" in "walking"). On average, 1 token is equivalent to about 4 characters or 0.75 words of English text.
Estimated Token Count124

Cost Breakdown (USD)

Input Cost (Prompt):$0.000248
Output Cost (Generated):$0.000744
Total Est. Cost:$0.000992
Context Window Capacity0.0124%

API Pricing Comparison (per Million Tokens)

ModelInputOutput
Fugu Max$2.00$6.00
Fugu Ultra v2$5.00$30.00
Ling 3.0 Flash VL$0.06$0.18
DeepSeek V4.1 Flash$0.15$0.60
Mercury 2.5$0.04$0.15
GPT-6 Astra$10.00$50.00
GPT-6 Astra Pro$10.00$50.00
Qwen3.8 Max (0902)$2.00$6.00
Muse Spark 1.3$1.25$4.25
Muse Spark 1.3 Contributor$0.10$0.20
Gemini 3.8 Flash$0.75$3.75
Claude Fable 5.1$10.00$50.00
Granite 4.2 8B$0.06$0.25
Mercury 2.5 Preview$0.04$0.15
Hy4 preview$0.83$2.50
Ling 3.0 Flash Fin$0.06$0.18
GLM Flash Latest$0.07$0.25
Qwen3.8 Flash$0.15$0.47
GLM 5.3 Flash$0.09$0.30
DeepSeek V4 Flash Vision Exp$0.22$0.66
Muse Spark 1.2 Contributor$0.10$0.20
Hy-MT2-30B-A3B$0.07$0.29
Hy-MT2-1.8B$0.04$0.18
GLM Latest$0.88$2.97
Hy-MT2-7B$0.07$0.29
GLM 5.3$1.40$4.40
Qwen3.8 27B$0.21$2.55
Gemini 3.7 Flash$0.75$3.75
Seed 2.1 Turbo$0.50$2.50
Grok 4.6$2.00$6.00
DeepSeek V4 Pro 0813$0.58$1.74
Qwen3.8 2.4T A95B$2.00$6.00
Seed-2.0-Code$0.50$3.00
Nemotron 3.5 Lightning$0.08$0.20
Sakana Namazu$0.95$4.00
Solar Pro 4$0.09$0.36
Muse Glimmer 30B$0.35$1.50
Muse Spark 1.2$1.25$4.25
Qwen3.8 Max$2.00$6.00
DeepSeek V4 Flash 0731$0.06$0.12
Inkling Small$0.45$1.20
Qwen3.7 Flash$0.03$0.13
Claude Opus 5 (Fast)$10.00$50.00
Claude Opus 5$5.00$25.00
Ling 3.0 Flash$0.02$0.06
Gemini 3.5 Flash Lite$0.30$2.50
Gemini 3.6 Flash$0.75$3.75
Laguna S 2.1$0.09$0.18
Inkling$1.00$4.05
Auto Router (Beta)$0.00$0.00
Muse Spark 1.1$1.25$4.25
Kimi K3$2.65$13.28
KAT-Coder-Air V2.5$0.15$0.60
KAT-Coder-Pro V2.5$0.74$2.96
GPT-5.6 Luna$0.20$1.20
GPT-5.6 Luna Pro$0.20$1.20
GPT-5.6 Terra$2.00$12.00
GPT-5.6 Sol$2.00$10.00
GPT-5.6 Terra Pro$2.00$12.00
GPT-5.6 Sol Pro$2.00$10.00
Grok 4.5$2.00$6.00
Hy3$0.08$0.33
Laguna XS 2.1$0.06$0.12
Claude Sonnet 5$2.00$10.00
Nano Banana 2 Lite (Gemini 3.1 Flash Lite Image)$0.25$1.50
Nex-N2-Mini$0.03$0.10
Fugu Ultra$5.00$30.00
Nano Banana 2 (Gemini 3.1 Flash Image)$0.50$3.00
Nano Banana Pro (Gemini 3 Pro Image)$2.00$12.00
GLM 5.2$1.40$4.40
Fusion$0.00$0.00
Kimi K2.7 Code$0.71$3.21
Claude Fable Latest$10.00$50.00
Claude Fable 5$10.00$50.00
Nex-N2-Pro$0.25$1.00
Nemotron 3.5 Content Safety$0.20$0.20
Nemotron 3 Ultra$0.63$3.13
Qwen3.7 Plus$0.32$1.28
MiniMax M3$0.30$1.20
Step 3.7 Flash$0.20$1.15
Claude Opus 4.8 (Fast)$10.00$50.00
Claude Opus 4.8$5.00$25.00
Llama 4 Maverick$0.19$0.65
Qwen3.7 Max$1.48$4.42
Grok Build 0.1$1.00$2.00
Gemini 3.5 Flash$1.50$9.00
Claude Opus 4.7 (Fast)$30.00$150.00
Gemini 3.1 Flash Lite$0.25$1.50
GPT Chat Latest$5.00$30.00
Grok 4.20$1.25$2.50
Granite 4.1 8B$0.05$0.10
Mistral Medium 3.5$1.50$7.50
Grok 4.3$1.25$2.50
Laguna M.1$0.20$0.40
Claude Haiku Latest$1.00$5.00
Gemini Flash Latest$0.75$3.75
Claude Sonnet Latest$2.00$10.00
Gemini Pro Latest$2.00$12.00
Kimi Latest$2.10$10.95
Google Gemini Flash Latest$0.75$3.75
Google Gemini Pro Latest$2.00$12.00
Anthropic Claude Sonnet Latest$2.00$10.00
Qwen3.5 Plus 2026-04-20$0.30$1.80
Qwen3.6 35B A3B$0.10$0.90
Qwen3.6 Max Preview$1.03$6.16
Qwen3.6 27B$0.30$2.00
Anthropic Claude Haiku Latest$1.00$5.00
Qwen3.6 Flash$0.19$1.13
MoonshotAI Kimi Latest$2.10$10.95
DeepSeek V4 Pro 0423$1.60$3.20
DeepSeek V4 Flash 0423$0.09$0.17
GPT-5.5 Pro$30.00$180.00
DeepSeek V4 Flash$0.09$0.17
GPT-5.5$5.00$30.00
DeepSeek V4 Pro$1.60$3.20
MiMo-V2.5$0.14$0.28
MiMo-V2.5-Pro$0.43$0.87
Hy3 preview$0.18$0.60
Pareto Code Router$0.00$0.00
GPT-5.4 Image 2$8.00$15.00
Claude Opus Latest$5.00$25.00
Kimi K2.6$0.95$4.00
Gemini 3.1 Flash$0.25$1.50
Gemini 3.1 Pro$2.00$12.00
Claude Opus 4.7$5.00$25.00
GLM 5.1$0.97$3.04
Gemma 4 26B A4B$0.09$0.30
Gemma 4 31B$0.09$0.34
Qwen3.6 Plus$0.33$1.95
GLM 5V Turbo$1.20$4.00
Grok 4.20 Multi-Agent$1.25$2.50
Grok 4.20$1.25$2.50
Lyria 3 Pro Preview$0.00$0.00
Lyria 3 Clip Preview$0.00$0.00
KAT-Coder-Pro V2$0.30$1.20
Reka Edge$0.10$0.10
MiniMax M2.7$0.30$1.20
GPT-5.4 Mini$0.75$4.50
GPT-5.4 Nano$0.20$1.25
Mistral Small 4$0.15$0.60
GLM 5 Turbo$1.20$4.00
Nemotron 3 Super$0.08$0.45
Qwen3.5-9B$0.10$0.15
Seed-2.0-Lite$0.25$2.00
GPT-5.4 Pro$30.00$180.00
GPT-5.4$2.50$15.00
Mercury 2$0.25$0.75
Gemini 3.1 Flash Lite Preview$0.25$1.50
GPT-5.3 Chat$1.75$14.00
Nano Banana 2 (Gemini 3.1 Flash Image Preview)$0.50$3.00
Seed-2.0-Mini$0.10$0.40
Qwen3.5-122B-A10B$0.26$2.08
Qwen3.5-27B$0.20$1.56
Qwen3.5-35B-A3B$0.16$1.30
Gemini 3.1 Pro Preview Custom Tools$2.00$12.00
Qwen3.5-Flash$0.07$0.26
GPT-5.3-Codex$1.75$14.00
Gemini 3.1 Pro Preview$2.00$12.00
Claude Sonnet 4.6$3.00$15.00
Qwen3.5 Plus 2026-02-15$0.26$1.56
Qwen3.5 397B A17B$0.55$3.50
MiniMax M2.5$0.27$1.08
GLM 5$0.60$1.92
Qwen3 Max Thinking$0.78$3.90
Qwen3 Coder Next$0.12$0.80
Claude Opus 4.6$5.00$25.00
Free Models Router$0.00$0.00
Step 3.5 Flash$0.10$0.30
Solar Pro 3$0.15$0.60
Kimi K2.5$0.45$2.25
MiniMax M2-her$0.30$1.20
Palmyra X5$0.60$6.00
GLM 4.7 Flash$0.06$0.40
GPT Audio Mini$0.60$2.40
GPT Audio$2.50$10.00
Doubao Pro$0.80$1.60
GPT-5.2-Codex$1.75$14.00
MiniMax M2.1$0.30$1.20
Seed 1.6 Flash$0.07$0.30
Seed 1.6$0.25$2.00
GLM 4.7$0.40$1.75
Gemini 3 Flash Preview$0.50$3.00
Nemotron 3 Nano 30B A3B$0.05$0.20
GPT-5.2$1.75$14.00
GPT-5.2 Pro$21.00$168.00
GPT-5.2 Chat$1.75$14.00
Devstral 2 2512$0.40$2.00
GLM 4.6V$0.30$0.90
Body Builder (beta)$0.00$0.00
GPT-5.1-Codex-Max$1.25$10.00
Nova 2 Lite$0.30$2.50
Ministral 3 14B 2512$0.20$0.20
Ministral 3 3B 2512$0.10$0.10
Ministral 3 8B 2512$0.15$0.15
DeepSeek V3.2$0.27$0.40
Mistral Large 3 2512$0.50$1.50
Claude Opus 4.5$5.00$25.00
Nano Banana Pro (Gemini 3 Pro Image Preview)$2.00$12.00
GPT-5.1 Chat$1.25$10.00
GPT-5.1$1.25$10.00
GPT-5.1-Codex$1.25$10.00
GPT-5.1-Codex-Mini$0.25$2.00
Qwen 2.5-Coder 32B$0.35$0.70
Kimi K2 Thinking$0.60$2.50
Hunyuan Pro$0.60$1.20
Nova Premier 1.0$2.50$12.50
Sonar Pro Search$3.00$15.00
Voxtral Small 24B 2507$0.10$0.30
gpt-oss-safeguard-20b$0.07$0.30
MiniMax M2$0.26$1.02
Qwen3 VL 32B Instruct$0.10$0.42
Granite 4.0 Micro$0.02$0.11
GPT-5 Image Mini$2.50$2.00
Claude Haiku 4.5$1.00$5.00
Qwen3 VL 8B Thinking$0.18$2.10
Qwen3 VL 8B Instruct$0.12$0.46
GPT-5 Image$10.00$10.00
o4 Mini Deep Research$2.00$8.00
o3 Deep Research$10.00$40.00
Nano Banana (Gemini 2.5 Flash Image)$0.30$2.50
Qwen3 VL 30B A3B Thinking$0.20$2.40
GPT-5 Pro$15.00$120.00
Qwen3 VL 30B A3B Instruct$0.13$0.52
Yi-Lightning$0.15$0.30
GLM 4.6$0.43$1.75
DeepSeek V3.2 Exp$0.27$0.41
Claude Sonnet 4.5$3.00$15.00
Cydonia 24B V4.1$0.30$0.50
Gemini 2.5 Flash Lite Preview 09-2025$0.10$0.40
Qwen3 Max$0.78$3.90
GPT-5 Codex$1.25$10.00
Qwen3 Coder Plus$0.65$3.25
Qwen3 VL 235B A22B Thinking$0.40$4.00
Qwen3 VL 235B A22B Instruct$0.21$1.90
DeepSeek V3.1 Terminus$0.27$1.00
Qwen 2.5 72B$0.40$0.80
Qwen3 Coder Flash$0.20$0.97
Qwen3 Next 80B A3B Instruct$0.09$1.10
Qwen3 Next 80B A3B Thinking$0.15$1.20
Qwen Plus 0728 (thinking)$0.26$0.78
Qwen Plus 0728$0.26$0.78
Kimi K2 0905$0.60$2.50
ERNIE 4.0$1.20$2.40
Qwen3 30B A3B Thinking 2507$0.20$2.40
Hermes 4 70B$0.13$0.40
Hermes 4 405B$1.00$3.00
DeepSeek V3.1$0.25$0.95
Mistral Medium 3.1$0.40$2.00
GLM 4.5V$0.60$1.80
Jamba Large 1.7$2.00$8.00
GPT-5 Nano$0.05$0.40
GPT-5 Chat$1.25$10.00
GPT-5 Mini$0.25$2.00
GPT-5$1.25$10.00
gpt-oss-20b$0.03$0.13
Claude Opus 4.1$15.00$75.00
gpt-oss-120b$0.04$0.17
Codestral 2508$0.30$0.90
Qwen3 Coder 30B A3B Instruct$0.07$0.28
Qwen3 30B A3B Instruct 2507$0.05$0.19
GLM 4.5$0.60$2.20
Qwen3 235B A22B Thinking 2507$0.23$2.30
GLM 4.5 Air$0.13$0.85
Mistral Large 2$0.60$1.80
Qwen3 Coder 480B A35B$0.30$1.00
UI-TARS 7B$0.10$0.20
Gemini 2.5 Flash Lite$0.10$0.40
Qwen3 235B A22B Instruct 2507$0.09$0.35
Kimi K2 0711$0.57$2.30
Hunyuan A13B Instruct$0.14$0.57
Morph V3 Fast$0.80$1.20
Morph V3 Large$0.90$1.90
ERNIE 4.5 VL 424B A47B$0.42$1.25
Mistral Small 3.2 24B$0.09$0.25
Gemini 2.5 Flash$0.30$2.50
MiniMax M1$0.40$2.20
Gemini 2.5 Pro$1.25$10.00
o3 Pro$20.00$80.00
Gemini 2.5 Pro Preview 06-05$1.25$10.00
R1 0528$0.50$2.15
Claude Sonnet 4$3.00$15.00
Claude Opus 4$15.00$75.00
Gemma 3n 4B$0.06$0.12
Gemini 2.5 Pro Preview 05-06$1.25$10.00
Mistral Medium 3$0.40$2.00
Llama Guard 4 12B$0.18$0.18
Qwen3 14B$0.12$0.24
Qwen3 32B$0.08$0.28
Qwen3 8B$0.12$0.46
Qwen3 30B A3B$0.12$0.50
Qwen3 235B A22B$0.46$1.82
o3$2.00$8.00
o4 Mini High$1.10$4.40
o4 Mini$1.10$4.40
GPT-4.1 Mini$0.40$1.60
GPT-4.1 Nano$0.10$0.40
GPT-4.1$2.00$8.00
Llama 4 Maverick$0.19$0.65
Llama 4 Scout$0.10$0.30
DeepSeek V3 0324$0.25$1.00
o1-pro$150.00$600.00
Mistral Small 3.1 24B$0.35$0.56
Gemma 3 4B$0.05$0.10
Command A$2.50$10.00
Gemma 3 12B$0.05$0.15
Reka Flash 3$0.10$0.20
GPT-4o-mini Search Preview$0.15$0.60
Gemma 3 27B$0.08$0.45
GPT-4o Search Preview$2.50$10.00
Skyfall 36B V2$0.55$0.80
Sonar Deep Research$2.00$8.00
Sonar Pro$3.00$15.00
Sonar Reasoning Pro$2.00$8.00
Saba$0.20$0.60
Claude 3.5 Sonnet v2$3.00$15.00
o3 Mini High$1.10$4.40
Gemini 2.0 Flash$0.10$0.40
Qwen2.5 VL 72B Instruct$0.80$1.00
Qwen-Plus$0.26$0.78
o3 Mini$1.10$4.40
Mistral Small 3$0.09$0.25
Sonar$1.00$1.00
R1 Distill Llama 70B$0.80$0.80
R1$0.70$2.50
DeepSeek R1$0.70$2.50
MiniMax-01$0.20$1.10
Phi 4$0.07$0.14
DeepSeek V3$0.26$1.03
o1$15.00$60.00
Command R7B (12-2024)$0.04$0.15
Mixtral 8x22B$0.50$1.00
Llama 3.3 70B Instruct$0.10$0.32
Llama 3.3 70B Instruct$0.10$0.32
Nova Micro 1.0$0.04$0.14
Nova Lite 1.0$0.06$0.24
Nova Pro 1.0$0.80$3.20
GPT-4o (2024-11-20)$2.50$10.00
Mistral Large 2407$2.00$6.00
Qwen2.5 Coder 32B Instruct$0.66$1.00
UnslopNemo 12B$0.40$0.40
Ministral 8B$0.11$0.11
Qwen2.5 7B Instruct$0.10$0.20
Inflection 3 Productivity$2.50$10.00
Inflection 3 Pi$2.50$10.00
Llama 3.2 3B Instruct$0.05$0.33
Llama 3.2 11B Vision Instruct$0.34$0.34
Llama 3.2 1B Instruct$0.03$0.20
Llama 3.2 11B Vision$0.34$0.34
Qwen2.5 72B Instruct$0.36$0.40
Command R (08-2024)$0.15$0.60
Hermes 3 70B Instruct$0.70$0.70
Hermes 3 405B Instruct$1.00$1.00
GPT-4o (2024-08-06)$2.50$10.00
Mistral Large 3$0.50$1.50
Llama 3.1 70B Instruct$0.40$0.40
Llama 3.1 8B Instruct$0.05$0.08
Llama 3.1 405B$0.80$0.80
Llama 3.1 8B$0.04$0.04
Mistral Nemo$0.02$0.03
GPT-4o-mini (2024-07-18)$0.15$0.60
GPT-4o-mini$0.15$0.60
Gemma 2 27B$0.65$0.65
GPT-4o (2024-05-13)$5.00$15.00
GPT-4o$2.50$10.00
Llama 3 8B Instruct$0.14$0.14
Mixtral 8x22B Instruct$2.00$6.00
WizardLM-2 8x22B$0.62$0.62
GPT-4 Turbo$10.00$30.00
Command R+$2.50$10.00
Claude 3 Haiku$0.25$1.25
Command R$0.15$0.60
Mistral Large$2.00$6.00
GPT-3.5 Turbo (older v0613)$1.00$2.00
GPT-4 Turbo Preview$10.00$30.00
Auto Router$0.00$0.00
GPT-3.5 Turbo Instruct$1.50$2.00
GPT-3.5 Turbo 16k$3.00$4.00
GPT-3.5 Turbo$0.50$1.50
GPT-4$30.00$60.00
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