REVIEW 4 major objections 3 minor 59 references
Query-Efficient Planning with Language Models
T0 review · 4 major / 3 minor · reviewed 2026-08-11 · deepseek-v4-flash
Pith's one-line read Generative LLM planners that propose full plans and replan from world-model feedback beat LLM-guided heuristic search, reaching 78-89% success under a 20-query budget.
desk verdict A useful empirical comparison with a real confound: Boomerang gets full interaction history while ToI does not, so the headline adaptivity claim is only as strong as that asymmetry. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The central mechanism is the Boomerang loop: generate a complete action sequence with the LLM, verify it by querying the world model on every transition, feed back the partial trajectory and error, then regenerate, with all previously verified transitions cached so each iteration costs only the newly revealed states. This is the paper's instantiation of lazy search, where the planner reasons over a cheap internal model and only pays for edges on promising paths; the paper formalizes the LLM as a posterior sampler over world models $P_\theta(M^\star \mid \phi, H_t)$ and adapts a Bayesian regret bound of $O(\tau\sqrt{SAT\log(SAT)})$ on the infeasible edges queried before a feasible path is found. The contrasting object is ToI, which embeds the LLM as an action proposer and a three-class state evaluator inside beam search or DFS, so the LLM's influence is filtered through the search tree and its state rankings, which the paper notes are inadmissible and inconsistent because states are ranked independently and history is discarded each iteration.
What would settle it
Re-run the same planners on a domain where each world-model query is genuinely expensive, for example collision-checking a robot arm or running a local motion optimizer, charge the budget for every transition accessed from cache, and compare wall-clock time or paid queries instead of unique transition counts; if Boomerang's margin over Classical and ToI shrinks or reverses under that accounting, the query-efficiency claim rests on the free-cache assumption rather than on generative adaptivity.
Extended reading notes
Core claim
The paper's central claim, stated in its abstract, is that using an LLM as a generative planner results in significantly fewer world-model interactions than using an LLM as a heuristic, and that the generative planner can more rapidly adapt its planning strategies based on immediate feedback. Boomerang operationalizes this by prompting the LLM to produce an entire plan from the initial state to the goal, rolling that plan out through a deterministic world model, and appending the verified prefix plus the error message to the LLM's context before generating the next plan; ToI instead confines the LLM to proposing actions and rating states as impossible/maybe/sure within a beam or depth-first search. Under a 20-world-model-query budget on 600 PlanBench Blocksworld problems and 100 problems each in Logistics, Grippers, and Robotouille, Boomerang solves them at rates of 78%, 82%, 89%, and 57%, respectively, while the strongest classical planner configuration reaches 63% on Blocksworld and 5-13% on the other PDDL domains, and the best ToI variant reaches 37% on Blocksworld. The paper also reports that Boomerang uses fewer LLM calls (5.69 per problem versus 13.69 for ReAct and 28-40 for the ToI variants) and achieves an optimality rate of 0.69, second only to the optimality-guaranteed classical planner at 0.63. The authors connect this performance to lazy search and posterior sampling, adapting a Bayesian regret bound of $O(\tau\sqrt{SAT\log(SAT)})$ on the number of infeasible transitions queried before a feasible plan is found.
Load-bearing premise
The comparison prices a world-model query as the scarce resource and lets Boomerang reuse every previously verified transition for free, so the finding holds only if re-checking a cached transition costs nothing and if world-model queries, not LLM API calls or other computation, are the true bottleneck; the paper asserts but does not demonstrate this on an actually expensive world model.
Editorial extensions
If this is right
- In planning domains where world-model queries dominate cost, the generative-planner interface should be the default: Boomerang needs only 5.69 LLM calls per Blocksworld problem versus 13.69 for ReAct and 28-40 for ToI variants, and it reaches the goal in fewer queries on average (12.15) than both ReAct (13.06) and the best classical planner (14.67).
- The gap should grow with a domain's branching factor: the paper's lazy-search analysis shows that even a perfect heuristic run as A* pays $k$ times more edge queries than a lazy planner over the optimal path, which is consistent with Grippers, the domain with the largest action space, showing Boomerang's widest margin (89% versus 31% for ToI-DFS and 13% for Classical).
- The adaptivity explanation predicts that any method that resets to the start but still acts one step at a time will underperform whole-plan regeneration, which is exactly the appendix finding that Reflexion outperforms ReAct but not Boomerang.
- Success within a fixed query budget and solution optimality are partly independent: the I/O + CoT + P ablation, which repeats the goal after every step, beats ReAct by 14.8% without any interaction loop, showing that prompt design and interaction design are separate levers.
Reading between the lines
- If the adaptivity story is right, then compressing the LLM's history, replacing raw trajectory dumps with a distilled summary of what failed and why, should extend Boomerang's advantage to long-horizon problems, where the paper's own limitations section concedes it begins reproposing failed sequences through context forgetting.
- The free-cache accounting is testable: a deployment that charges for every world-model access, including re-verifying a cached transition, or one whose bottleneck is LLM API latency rather than world-model queries, could erase or reverse Boomerang's margin, since the paper asserts rather than measures the claimed correlation between query count and wall-clock time.
- A natural hybrid suggested by the comparison is to seed a classical beam search with Boomerang's generated plans, giving the tree-based framework the cul-de-sac escape it currently lacks while preserving search structure; the paper does not explore this direction.
- Re-running the comparison under a budget of plan length or total LLM tokens rather than verified transitions would separate the value of whole-plan generation from the value of start-state resets, which the paper treats as a single design.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper proposes two ways of using LLMs for planning under a limited budget of world-model queries: Tree of Interaction (ToI), where an LLM acts as an action proposer and state evaluator inside BFS/DFS search, and Boomerang, where an LLM generates complete action sequences and replans from world-model feedback. Experiments on 600 PlanBench Blocksworld problems and 100-problem Logistics, Grippers, and Robotouille suites report that Boomerang attains the highest success rates under a 20-query cap, with 78% on Blocksworld, and that ReAct and ToI variants are less successful. The paper also presents ablations on prompting variants and Reflexion, plus an appendix connecting Boomerang to lazy search and posterior sampling.
Significance. The main empirical result, if it survives a controlled comparison, would be practically relevant: Boomerang is simple, cheap in LLM calls, and substantially better than the tested baselines on several domains, and the per-domain tables and released code are useful assets. The weakness is that the central claim about adaptivity is currently confounded with history access, and the numeric inconsistency in the Blocksworld result makes the headline hard to trust as stated. The theoretical appendix does not provide an independent guarantee for Boomerang. With a history-augmented ToI baseline and corrected reporting, the paper could make a solid contribution; in its present form the significance of the adaptivity finding is uncertain.
major comments (4)
- [§3.1–3.2, Alg. 1–3, Appendix A.7] The comparison conflates the planning paradigm with access to interaction history. ToI-BFS (Alg. 1) and ToI-DFS (Alg. 3) call the action proposer πθ(s,ϕ,k) and state evaluator Vθ(s,ϕ) on the current state only, whereas Boomerang (Alg. 2) maintains Ht and conditions each new plan on the full history of world-model feedback. Appendix A.7 itself states that ToI makes minimal progress because 'the lack of history in Tree of Interaction (ToI)' discards information. Since a heuristic search framework is not inherently memoryless—one can append the transcript of queried transitions and error messages to the LLM prompts while keeping the same beam/DFS outer loop—the abstract's claim that 'the LLM as a planner can more rapidly adapt its planning strategies based on immediate feedback than LLM as a heuristic' is not established by the current experiments. Please add a history-augmented ToI baseline or restrict the conclusion to the implemented memory-free heuristic.
- [§4.2.1–4.2.2 vs. Table 3] There is an unexplained discrepancy in the flagship Blocksworld success rate. The main text reports 0.78 for Boomerang on the 600 PlanBench problems (Fig. 2 and §4.2.1), while Table 3 in Appendix A.10 reports 0.85±0.015 for Boomerang on Blocksworld with average WMQ 10.67. If Table 3 uses a different query budget, seed, or subset, this must be stated; otherwise the headline number is internally inconsistent.
- [Appendix A.2, Theorem 1] Theorem 1 is not a bound for Boomerang as implemented. The proof 'follows from Osband et al. (2013)' applies to posterior sampling in reinforcement learning, but §3.2 only conjectures that Boomerang's plan generation approximates posterior sampling from Pθ(M⋆|ϕ,Ht). Without stating that approximation as an explicit assumption (or providing evidence for it), the theorem overclaims a formal guarantee. Please either state the posterior-sampling property as an unproved assumption and label the result conditional, or remove the theorem and treat the connection as intuition.
- [§3.2 and §4.1] The query-cost metric assumes free reuse of previously verified transitions. Boomerang re-uses previous queries during verification, so reported WMQ counts unique transitions rather than actual world-model invocations. If the motivating setting is an expensive, non-cacheable world model, the advantage may shrink or reverse. The statement in §4.1 that query efficiency 'directly correlates with time spent in such environments' is not demonstrated. Please report an experiment with an expensive or non-cacheable oracle, or clearly qualify the claim to the cached-query setting.
minor comments (3)
- [§4.2.2] The sentence 'Classical uses best-first-search which implies its heuristic does not underestimate the true cost, guaranteeing it finds an optimal path' is incorrect: best-first search does not guarantee optimality, and A* with an admissible heuristic is the usual optimal variant. Given Table 3's configuration, the optimality claim should be corrected.
- [§4.2.2] The cross-reference 'see Appendix 3' does not correspond to any appendix section; it should refer to Appendix A.10.
- [§4.2.2 and Table 1] The abstract's phrase 'significantly fewer interactions' is not accompanied by statistical tests or confidence intervals for the main 0.78 vs. 0.52/0.63 comparisons; adding error bars or significance tests would strengthen the claim.
Circularity Check
No significant circularity: the empirical comparisons and the adapted theory are not derived from fitted parameters or from the authors' own prior results.
full rationale
The paper's central empirical claim, that Boomerang is more query-efficient than ToI or classical planners, is measured against external world-model oracles (PlanBench, PDDLGym, and Robotouille) under a fixed query budget, and no parameter is fitted to the reported successes. Boomerang's plans are verified by the true world model, so the success rate is a genuine outcome rather than a quantity forced by construction. The theoretical section explicitly labels the connection to posterior sampling a conjecture and borrows the regret bound from Osband et al. (2013), an external source, so the theory does not independently establish the empirical gains. Self-citations to lazy-search and posterior-sampling literature are motivational and are supported by external, parameter-free proofs, which the paper cites rather than deriving from itself. One experimental-design concern is that ToI's state evaluator receives no interaction history while Boomerang's prompt is updated with the trajectory and error message; this is a potential confound between planning paradigm and memory access, but the paper does not reduce its conclusion to that design by definition. It is a validity threat, not a circular derivation. For these reasons, no circular step is identified and the paper is scored 0.
Assumptions & free parameters
free parameters (4)
- k (actions proposed per state) for ToI =
2
- b (beam size) for ToI-BFS =
2
- temperature =
0.7
- vmin (value threshold) for ToI-DFS =
not specified
assumptions (4)
- domain assumption World model M is deterministic and each query (s,a) returns next state s' and an optional error e.
- domain assumption Unique world-model queries with caching are the correct cost metric for query-efficient planning.
- ad hoc to paper LLM plan generation approximates posterior sampling over world models for the regret bound.
- domain assumption Classical planner expansions can be counted as world model queries.
Cite this review
Pith. "Pith review of Query-Efficient Planning with Language Models." pith.science (2026). https://pith.science/paper/JROXP5PK
@misc{pith2026241206162,
author = {Pith},
title = {Pith review of: Query-Efficient Planning with Language Models},
year = {2026},
howpublished = {\url{https://pith.science/paper/JROXP5PK}},
note = {Machine review of arXiv:2412.06162}
}
read the original abstract
Planning in complex environments requires an agent to efficiently query a world model to find a feasible sequence of actions from start to goal. Recent work has shown that Large Language Models (LLMs), with their rich prior knowledge and reasoning capabilities, can potentially help with planning by searching over promising states and adapting to feedback from the world. In this paper, we propose and study two fundamentally competing frameworks that leverage LLMs for query-efficient planning. The first uses LLMs as a heuristic within a search-based planner to select promising nodes to expand and propose promising actions. The second uses LLMs as a generative planner to propose an entire sequence of actions from start to goal, query a world model, and adapt based on feedback. We show that while both approaches improve upon comparable baselines, using an LLM as a generative planner results in significantly fewer interactions. Our key finding is that the LLM as a planner can more rapidly adapt its planning strategies based on immediate feedback than LLM as a heuristic. We present evaluations and ablations on Robotouille and PDDL planning benchmarks and discuss connections to existing theory on query-efficient planning algorithms. Code is available at https://github.com/portal-cornell/llms-for-planning
Figures
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[58]
write newline
" write newline "" before.all 'output.state := FUNCTION n.dashify 't := "" t empty not t #1 #1 substring "-" = t #1 #2 substring "--" = not "--" * t #2 global.max substring 't := t #1 #1 substring "-" = "-" * t #2 global.max substring 't := while if t #1 #1 substring * t #2 gl...
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[59]
@esa (Ref
\@ifxundefined[1] #1\@undefined \@firstoftwo \@secondoftwo \@ifnum[1] #1 \@firstoftwo \@secondoftwo \@ifx[1] #1 \@firstoftwo \@secondoftwo [2] @ #1 \@temptokena #2 #1 @ \@temptokena \@ifclassloaded agu2001 natbib The agu2001 class already includes natbib coding, so you should ...
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[60]
\@lbibitem[] @bibitem@first@sw\@secondoftwo \@lbibitem[#1]#2 \@extra@b@citeb \@ifundefined br@#2\@extra@b@citeb \@namedef br@#2 \@nameuse br@#2\@extra@b@citeb \@ifundefined b@#2\@extra@b@citeb @num @parse #2 @tmp #1 NAT@b@open@#2 NAT@b@shut@#2 \@ifnum @merge>\@ne @bibitem@firs...
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[61]
Temporary table just to display results
@open @close @open @close and [1] URL: #1 \@ifundefined chapter * \@mkboth \@ifxundefined @sectionbib * \@mkboth * \@mkboth\@gobbletwo \@ifclassloaded amsart * \@ifclassloaded amsbook * \@ifxundefined @heading @heading NAT@ctr thebibliography [1] @ \@biblabel @NAT@ctr \@bibset...
Reviewed August 11, 2026 · model on record in the stance chip above.
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