Agentic search enables language models to solve knowledge-intensive tasks by adaptively acquiring external evidence over multiple steps. Reinforcement learning with verifiable rewards (RLVR) has emerged as a widely adopted training paradigm for search agents, yet outcome-only rewards are sparse and provide limited credit assignment for intermediate search actions. Existing process-reward methods therefore seek to densify supervision through proxy signals, external evaluators, or likelihood-based information gain. However, proxy rewards can deviate from the final outcome objective, while fixed evaluators can become stale as the search policy evolves, leading to unreliable process supervision. To address these challenges, we propose OASES, an Outcome-Aligned Search-Evaluation Supervision framework for agentic search. OASES derives outcome-aligned process rewards by evaluating how well each intermediate search state supports answering the original question. It further co-trains the search policy and the state evaluator on policy, allowing the evaluator to adapt to evolving search behavior and provide more reliable process rewards. Experiments on five multi-hop QA benchmarks show that OASES consistently outperforms strong RL baselines, with further analyses confirming the benefits of outcome-aligned process rewards and search-evaluation co-training.
Figures & tables
Figure 1: Comparison of reward designs for RLVR-based agentic search. Outcome-only RLVR provides trajectory-level feedback. Existing process-reward methods add step-level rewards from a separate evaluator without evaluation training. OASES co-trains a single policy for search and state evaluation, producing outcome-aligned process rewards while reducing evaluator–policy mismatch.
Figure 2: Overview of the OASES framework. The policy generates a main search trajectory τsearch and extracts an ordered sequence of search states {st}t=0T . For each state, the same policy generates a state-conditioned evaluation answer y~t , whose score γt reflects how well the accumulated information supports the final answer. OASES derives process rewards from state-score differences γt−γt−1 , combines them with the final outcome score γout , and co-trains search and state evaluation with PPO.
Method
NQ
HotpotQA
2Wiki
Bamboogle
MuSiQue
Avg.
F1
EM
F1
EM
F1
EM
F1
EM
F1
EM
F1
EM
Standard
Direct LLM
17.16
5.98
25.25
17.60
25.80
22.03
14.38
8.00
10.14
2.57
18.55
11.24
Naive RAG [ 13 ]
37.26
18.59
36.69
27.45
27.06
21.98
26.87
16.80
9.32
3.52
27.44
17.67
Agentic Search
Search-o1 [ 14 ]
32.43
15.71
44.86
34.07
39.69
32.71
37.56
27.20
20.11
11.09
34.93
24.16
Table 1: Comprehensive QA benchmark results on Qwen2.5-7B-Instruct. Bold indicates the best performance. Impv. vs Best denotes OASES’s absolute improvement over the strongest baseline.
Figure 3: Step-wise analysis of the search-state evaluator under different optimization strategies. Panels (a)–(c) show the evaluator’s answer F1 across training steps for search states at Turn 0, Turn 1, and Turn ≥2 , respectively. Panel (d) reports Impv. vs Best , defined as OASES’s F1 improvement over the stronger non-joint setting at each turn.
Figure 5
Appendix figures & tables7 assets
Supplementary material from the paper’s appendix.
Appendix
Method
NQ
HotpotQA
2Wiki
Bamboogle
MuSiQue
Avg.
F1
EM
F1
EM
F1
EM
F1
EM
F1
EM
F1
EM
Qwen2.5-1.5B-Instruct
Search-o1 [ 14 ]
1.23
0.69
4.51
3.43
4.82
4.13
4.83
3.20
1.36
0.54
3.35
2.40
Search-R1 [ 9 ]
31.72
15.96
31.24
22.67
25.73
21.60
15.11
6.73
10.40
3.89
22.84
14.17
SubSearch [ 21 ]
17.36
6.81
22.08
15.33
25.72
21.88
28.04
18.40
8.16
2.36
20.27
12.96
OASES (Ours)
37.73
18.75
51.39
38.69
54.41
46.56
46.41
37.60
22.81
12.58
42.55
30.84
Appendix
Table 3: Additional QA benchmark results on smaller Qwen2.5-Instruct models. Bold indicates best performance within each model-size group.
Method
NQ
HotpotQA
2Wiki
Bamboogle
MuSiQue
Avg.
F1
EM
F1
EM
F1
EM
F1
EM
F1
EM
F1
EM
Qwen2.5-3B-Base
20.72
7.45
30.24
19.82
33.82
28.55
29.38
17.60
13.14
2.90
25.46
15.26
Qwen3-4B-Base
20.89
6.93
30.80
19.86
34.36
29.17
17.55
8.00
13.79
2.57
23.48
11.73
Qwen2.5-7B-Base
43.31
22.44
59.79
46.29
60.34
54.60
61.06
46.40
28.99
17.17
50.70
37.38
Qwen3-8B-Base
44.08
22.94
60.79
47.52
61.73
55.66
61.15
49.60
31.92
20.56
51.93
39.26
Appendix
Table 4: QA benchmark results on Qwen2.5 and Qwen3 base models with different model sizes.
Component
Avg. # Rollouts per Query
Avg. Generated Tokens per Rollout
Avg. Generated Tokens per Query
Token Share
Search rollout
1.00
1041.76
1041.76
85.06%
State-evaluation rollouts
2.76
66.31
183.02
14.94%
Total
3.76
–
1224.78
100.00%
Appendix
Table 5: Generated-token cost of search and state-evaluation rollouts after convergence.
Main Search Prompt
Search-state Evaluation Prompts
You are an intelligent Research Agent designed to answer questions by retrieving information from the internet. ## Operational Logic 1. Plan: Analyze the user’s question. If the answer requires multiple steps, break it down. 2. Search: Use the ‘<search>‘ tag to query the search engine. Keep queries specific and efficient. 3. Observe: Wait for the ‘<result>‘ output provided by the system. 4. Iterate: Analyze the search results in a ‘<think>‘ block. - If information is missing, formulate a new search query based on what you found. - If the information is sufficient, proceed to answer. 5. Answer: Output the final answer in an ‘<answer>‘ tag. Keep it concise and direct. ## Response Format - Thinking Process: <think> ... </think> - Search Action: <search> ... </search> - Final Answer: <answer> ... </answer> ## Constraints - Stop after Search: Do not generate ‘<result>‘ tags yourself. Wait for the system. - Search Limit: There is a maximum limit on the number of search rounds. If the limit is reached, stop searching and output the final answer using available information.
Question-Only Evaluation You are an expert AI assistant capable of answering questions precisely. Answer the user’s question based on your internal knowledge. You must provide a concise answer enclosed within specific tags as follows: <eval> The Answer </eval> Context-Aware Evaluation You are an expert AI assistant capable of answering questions precisely. Answer the user’s question using the provided Context and your internal knowledge. You must provide a concise answer enclosed within specific tags as follows: <eval> The Answer </eval>
Appendix
Table 6: Prompt templates used in OASES, including the main search prompt and two search-state evaluation prompts for question-only and context-aware evaluation.
Query: What was the first use of the East Sitting Hall at the official residence and workplace of the President of the United States?
Ground Truth: reception room
Turn
Component
Output / Search-State Evaluation
Turn 0
Eval.
Eval: <eval> Congress held its first full session </eval> Score: γ0=0.000 (✗ unsupported)
Turn 1
Search
<search> official residence and workplace of the President of the United States </search>
Result
The official residence and workplace of the U.S. President is the White House .
Eval.
Eval: <eval> 1792 </eval> Score: γ1=0.000 (✗ distracted by irrelevant evidence) Source: “Construction took place between 1792 and 1800 using Aquia…”
Appendix
Table 7: Negative case study showing degraded search-state evaluation after search-only training.
Query: When is the director of film The Opposite of Sex ’s birthday?
Ground Truth: April 14, 1955
Turn
Component
Output / Search-State Evaluation
Turn 0
Evaluation of s0
Eval Answer: <eval> April 20, 1962 </eval> Score: γ0=0.333
Turn 1
Think
<thinking> I need to answer this in two steps. First, I must identify the director of the film ‘‘The Opposite of Sex’’. Second, I need to find the birth date of that specific director. </thinking>
Search
<search> director of film The Opposite of Sex </search>
Result
<result> The Opposite of Sex is a 1998 American romantic comedy film written and directed by Don Roos and starring Christina Ricci, Martin Donovan and Lisa Kudrow. Don Roos is well known for his work as a screenwriter… </result>
Appendix
Table 8: Positive case study of outcome-aligned process reward in OASES.
Query: Where did the director of film Legally Blonde study?
Ground Truth: California Institute of the Arts
Turn
Component
Output / Search-State Evaluation
Turn 0
Evaluation of s0
Eval Answer: <eval> University of Southern California (USC) </eval> Score: γ0=0.444
Turn 1
Think
<thinking> I need to answer this in two steps. First, I must identify the director of the film ‘‘Legally Blonde’’. Second, I need to find the educational background of that specific director. </thinking>
Search
<search> director of film Legally Blondes </search>
Result
<result> Legally Blonde is a 2001 American comedy film based on Amanda Brown’s novel of the same name. It was directed by Robert Luketic , scripted by Karen McCullah Lutz and Kirsten Smith, and stars Reese Witherspoon, Luke Wilson, Selma Blair, Matthew Davis, Victor Garber… </result>
Appendix
Table 9: Negative case study of outcome-aligned process reward in OASES.
Search agents enable Large Language Models (LLMs) to iteratively retrieve and use information for complex multi-hop questions. Reinforcement Learning with Verifiable Rewards (RLVR) offers a promising approach for post-training such agents, but its reliance on sparse, outcome-based supervision can make credit assignment difficult and limit learning efficiency. In this paper, we systematically investigate how intermediate supervision can improve reinforcement learning for search agents. We study a range of reward-shaping and credit-assignment strategies that provide learning signals from intermediate retrieval steps. Building on these insights, we develop a training framework that combines intermediate signals with final outcome rewards to improve learning from multi-step search trajectories. Experiments across multiple benchmarks under matched training conditions demonstrate improvements in aggregate search-agent performance and show that both the choice of intermediate signal and where its credit is assigned affect training behaviour. These findings show that reward design and credit assignment are important design dimensions for training effective search agents.
Wenyu Huang, Xinyu Hou, Pavlos Vougiouklis +2
University of Edinburgh, UK · Huawei Technologies Research & Development (UK) Limited
Search agents powered by large language models can autonomously decompose queries, retrieve information, and synthesize answers through multi-step reasoning. However, the rapid growth of training methods has outpaced controlled comparison: existing works differ in retrieval corpora, reward designs, and training protocols, making it unclear what actually drives improvements. We present a controlled empirical study that isolates three under-explored dimensions of search agent training. First, we identify a critical data-coverage issue in the widely used Wikipedia 2018 corpus and show that correcting it alone yields larger gains than the differences between training algorithms. Second, we systematically compare outcome-based and process-based reward methods across three base models, finding that the simplest outcome-based approach achieves competitive or superior performance in most settings, and that process-level credit assignment can over-correct agent behavior. Third, we analyze training data diversity, off-policy data utilization, and search budget scaling, distilling practical guidelines for training effective search agents. Our code is available at https://github.com/YiboZhao624/SearchAgentReview.
Yibo Zhao, Zichen Ding, Jiayi Wu +2
School of Data Science and Engineering, East China Normal University · Shanghai AI Laboratory
Search-augmented language agents should retrieve external information only when necessary and ground their answers in retrieved evidence. Yet terminal correctness assigns equal credit to direct answers from parametric knowledge, evidence-grounded answers, and answers recalled after redundant search. Process supervision and LLM judges provide richer feedback but can require high-cost annotation or inference; low-cost, non-contrastive policy confidence signals do not directly identify whether retrieved evidence changes an answer. We propose Search-G1, a reward framework that couples retrieval necessity with evidence reliance through two intervention-calibrated hidden-state readouts for selective grounded search. A prompt readout predicts closed-book sufficiency, whose complement proxies policy-relative retrieval necessity; an answer-commit readout predicts evidence reliance as sensitivity to evidence deletion conditional on the realized reasoning prefix. A correctness-first reward gates evidence-reliance credit by retrieval necessity, rewards sufficient direct answers, and penalizes repeated search. After calibration, scoring needs neither process annotations nor LLM-judge inference. As policy-relative targets, trajectory distributions, and representations may drift, Search-G1 periodically regenerates targets and refits its readouts. Across four QA benchmarks and two scales, Search-G1 achieves competitive task accuracy, with stronger counterfactual evidence dependence and fewer searches in the main comparisons, complemented by independent human audits of answer support.
Ruoxi Cheng, Haoxuan Ma, Hongyi Zhang +7
Fudan University · Tencent · Nanjing University +2