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Mathematical Reasoning on MultiArith

100AccuracyPrevious SOTA
87.72890.91494.197.286May 24, 2022Jan 5, 2023Aug 19, 2023Apr 1, 2024Nov 13, 2024Jun 27, 2025Feb 9, 2026

Evaluation results

MethodLinks
Previous SOTAPHP=false, Prompting Strategy=Complex CoT, Decoding Strategy=greedy2023.04100———
VanillaBase model=GPT-OSS-120B, Ada.=false, DIM.=false, Dec.=false2026.01100———
LLM-DebateBase model=GPT-OSS-120B, Ada.=false, DIM.=false, Dec.=false2026.01100———
GPTSwarmBase model=GPT-OSS-120B, Ada.=true, DIM.=false, Dec.=false2026.01100———
AgentDropoutBase model=GPT-OSS-120B, Ada.=true, DIM.=false, Dec.=true2026.01100———
G-DesignerBase model=GPT-OSS-120B, Ada.=true, DIM.=true, Dec.=false2026.01100———
TopoDIMBase model=GPT-OSS-120B, Ada.=true, DIM.=true, Dec.=true2026.01100———
VanillaBase model=DeepSeek-V3.2-251201:671B, Ada.=false, DIM.=false, Dec.=false2026.01100———
CoTBase model=DeepSeek-V3.2-251201:671B, Ada.=false, DIM.=false, Dec.=false2026.01100———
LLM-DebateBase model=DeepSeek-V3.2-251201:671B, Ada.=false, DIM.=false, Dec.=false2026.01100———
GPTSwarmBase model=DeepSeek-V3.2-251201:671B, Ada.=true, DIM.=false, Dec.=false2026.01100———
AgentDropoutBase model=DeepSeek-V3.2-251201:671B, Ada.=true, DIM.=false, Dec.=true2026.01100———
G-DesignerBase model=DeepSeek-V3.2-251201:671B, Ada.=true, DIM.=true, Dec.=false2026.01100———
TopoDIMBase model=DeepSeek-V3.2-251201:671B, Ada.=true, DIM.=true, Dec.=true2026.01100———
BiRouterDyn.=true, Dis.=true2025.11100———
Self-consistency (Code-davinci-002)Base Model=Code-davinci-0022024.03100———
TokenSkipBackbone=Qwen3-1.7B, Ratio=1.02026.0299.4—3231
Extra-CoT (CHRPO)Backbone=Qwen3-1.7B, Ratio=<POLICY>2026.0299.4—900.28
PAL (Codex)Base Model=Codex2024.0399.2———
Few-Shot-CoT + RCIBase Model=GPT-3.5-Turbo2024.0399.2———
OFA-MAS (pre-trained)Training protocol=One-for-All Topology Design (Pre-trained)2026.0199.11———
OFA-MAS (fine-tuned)Training protocol=One-for-All Topology Design (Fine-tuned)2026.0199.11———
TokenSkipBackbone=Qwen3-1.7B, Ratio=0.82026.0298.9—2660.83
Extra-CoTBackbone=Qwen3-1.7B, Ratio=0.82026.0298.9—2780.87
TopoDIMBase model=Gemma-3-it:12B, Ada.=true, DIM.=true, Dec.=true2026.0198.85———
MaASDyn.=true, Dis.=false2025.1198.8———
Few-shot-CoT + SCBase Model=GPT-3.5-Turbo, Prompting Strategy=Few-shot-CoT, Self-Consistency=true2024.0398.7———
Few-shot-CoT-CP (GPT-4)Base Model=GPT-4, Prompting Strategy=Few-shot-CoT-CP2024.0398.7———
G-DesignerBase model=Gemma-3-it:12B, Ada.=true, DIM.=true, Dec.=false2026.0198.45———
G-DesignerDyn.=false, Dis.=false2025.1198.33———
Base ModelBackbone=Qwen3-1.7B2026.0298.3—320—
Extra-CoTBackbone=Qwen3-1.7B, Ratio=1.02026.0298.3—3281
Extra-CoTBackbone=Qwen3-1.7B, Ratio=0.62026.0298.3—2140.67
Zero-shot-CP + SCBase Model=GPT-3.5-Turbo, Prompting Strategy=Zero-shot-CP, Self-Consistency=true2024.0398.3———
Few-shot-CoT (GPT-4)Base Model=GPT-4, Prompting Strategy=Few-shot-CoT2024.0398.3———
AgentDropoutBase model=Gemma-3-it:12B, Ada.=true, DIM.=false, Dec.=true2026.0198.2———
GPT-4 + PHPPHP=true, Prompting Strategy=Complex CoT, Decoding Strategy=greedy2023.0498.12.0033——
GPT-3.5 Turbo + PHPPHP=true, Prompting Strategy=Complex CoT, Decoding Strategy=greedy2023.04982.0133——
Few-shot-CoTBase Model=GPT-3.5-Turbo, Prompting Strategy=Few-shot-CoT2024.0398———
GPTSwarmBase model=Gemma-3-it:12B, Ada.=true, DIM.=false, Dec.=false2026.0197.85———
GPT-4PHP=false, Prompting Strategy=Complex CoT, Decoding Strategy=greedy2023.0497.8———
Extra-CoTBackbone=Qwen3-1.7B, Ratio=0.22026.0297.8—1160.36
Extra-CoTBackbone=Qwen3-1.7B, Ratio=<POLICY>2026.0297.8—1680.53
LLM-DebateBase model=Gemma-3-it:12B, Ada.=false, DIM.=false, Dec.=false2026.0197.62———
GPT-3.5 TurboPHP=false, Prompting Strategy=Complex CoT, Decoding Strategy=greedy2023.0497.5———
AgentVerseDyn.=true, Dis.=false2025.1197.5———
Few-shot-CPBase Model=GPT-3.5-Turbo, Prompting Strategy=Few-shot-CP2024.0397.5———
Few-shot-CoT-CP (GPT-4) + SCBase Model=GPT-4, Prompting Strategy=Few-shot-CoT-CP, Self-Consistency=true2024.0397.5———
LLM-DebateDyn.=false, Dis.=false2025.1197.33———
LLM-BlenderDyn.=false, Dis.=false2025.1197.29———
Zero-Shot-CoT + RCIBase Model=GPT-3.5-Turbo2024.0397.2———
DyLANDyn.=true, Dis.=false2025.1197.12———
CoTBase model=Gemma-3-it:12B, Ada.=false, DIM.=false, Dec.=false2026.0197.01———
Single-agent2025.1196.85———
EIB-LEARNERTraining protocol=Dataset-Specific Training2026.0196.83———
Zero-shot-CoT + SCBase Model=GPT-3.5-Turbo, Prompting Strategy=Zero-shot-CoT, Self-Consistency=true2024.0396.8———
GPTSwarmDyn.=false, Dis.=false2025.1196.79———
Extra-CoTBackbone=Qwen3-1.7B, Ratio=0.42026.0296.7—1730.54
ComplexCoT2025.1196.7———
VanillaBase model=Gemma-3-it:12B, Ada.=false, DIM.=false, Dec.=false2026.0196.68———
SC (CoTx5)2025.1196.58———
G-designerTraining protocol=Dataset-Specific Training2026.0196.5———
LLM-DebateAgent topology=Fixed Multi-Agent (LLM-Debate)2026.0196.36———
CoT2025.1196.31———
Zero-shot-CoT-CPBase Model=GPT-3.5-Turbo, Prompting Strategy=Zero-shot-CoT-CP2024.0396.2———
TokenSkipBackbone=Qwen3-1.7B, Ratio=0.62026.0296.1—2600.81
MacNetDyn.=false, Dis.=false2025.1196.03———
AgentDropoutTraining protocol=Dataset-Specific Training2026.0195.6———
Zero-shot-CPBase Model=GPT-3.5-Turbo, Prompting Strategy=Zero-shot-CP2024.0395.2———
Zero-shot-CPPrompting Strategy=Zero-shot-CP, Base Model=GPT-3.5-Turbo, Number of runs=52024.0395.13———
TokenSkipBackbone=Qwen3-1.7B, Ratio=<POLICY>2026.0295—1750.55
Zero-shot-CoTPrompting Strategy=Zero-shot-CoT, Base Model=GPT-3.5-Turbo, Number of runs=52024.0394.87———
Zero-shot-CoTBase Model=GPT-3.5-Turbo, Prompting Strategy=Zero-shot-CoT2024.0394.8———
AgentPruneTraining protocol=Dataset-Specific Training2026.0194.65———
CompleteAgent topology=Fixed Multi-Agent (Complete)2026.0194.53———
CoT-SFTReasoning Type=CoT, Training=SFT2026.0194.4—19—
ATP-LatentReasoning Type=Latent, Training=RL2026.0194.4—7.1—
TokenSkipBackbone=Qwen3-1.7B, Ratio=0.42026.0294.4—1770.55
SC (CoT)Prompting strategy=Single-Agent Prompting2026.0194.12———
RandomAgent topology=Fixed Multi-Agent (Random)2026.0194.08———
ATP-Latent -w/o Stop HeadReasoning Type=Latent, Training=RL, Stop Head=Excluded2026.0193.9—9—
CoLTSeed count=22026.0293.97.27——
TreeAgent topology=Fixed Multi-Agent (Tree)2026.0193.68———
ChainAgent topology=Fixed Multi-Agent (Chain)2026.0193.27———
CoTPrompting strategy=Single-Agent Prompting2026.0193.25———
CoT2026.0293.213.7——
CoT2026.0293.213.7——
VanillaPrompting strategy=Direct Answer2026.0193.09———
LSTRCompression ratio=2, Ablation=w/o Skip2026.0292.87.37——
ATP-Latent -w/o VAEReasoning Type=Latent, Training=RL, VAE=Excluded2026.0192.8—7.2—
CoLTSeed count=12026.0292.85.3——
Zero-shot-PoT (Codex)Base Model=Codex, Prompting Strategy=Zero-shot-PoT2024.0392.2———
CoLaRCompression ratio=22026.0291.37.35——
COLARMultiplier=2x2026.0291.37.35——
TokenSkipBackbone=Qwen3-1.7B, Ratio=0.22026.0291.1—1080.34
ATP-Latent w Only Coherence as RewardReasoning Type=Latent, Training=RL, Reward Mechanism=Unsupervised Coherence2026.0190.6—7.1—
LSTRCompression ratio=22026.0290.57.44——
ATP-Latent -w/o RL (Ours-SFT)Reasoning Type=Latent, Training=SFT2026.0190—7.1—
Zero-shot-CoT + self consistencyModel=PaLM (540B), Prompting Strategy=Zero-shot, Chain-of-thought=true, Self-consistency=40 paths2022.0589———
LSTRCompression ratio=52026.0288.23.17——