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Mathematical Reasoning on GSM8K (test) (Accuracy)

99AccuracyNo Defense
91.7293.6195.597.39Apr 19, 2024Aug 17, 2024Dec 15, 2024Apr 14, 2025Aug 12, 2025Dec 10, 2025Apr 10, 2026

Evaluation results

MethodLinks
No DefenseModel=Claude-3.5-Sonnet2025.0599
ICDModel=Claude-3.5-Sonnet2025.0599
Goal PrioritizationModel=Claude-3.5-Sonnet2025.0599
SAGEModel=Claude-3.5-Sonnet2025.0599
No DefenseModel=GPT-4o2025.0598
Self-ReminderModel=Claude-3.5-Sonnet2025.0598
IAModel=Claude-3.5-Sonnet2025.0598
IAModel=GPT-4o-mini2025.0597
Self-ReminderModel=GPT-4o2025.0597
Self-ExaminationModel=GPT-4o2025.0597
Goal PrioritizationModel=GPT-4o2025.0597
SAGEModel=GPT-4o2025.0597
DensePruning Ratio=0%, Backbone=Qwen3-8B, prompt=8-shot2025.1296.74
MGRSBackbone=GPT-4o-mini2025.1196.5
AFlowOptimizer=Claude-3.5-Sonnet, Executor=Claude-3.7-Sonnet2026.0196.5
FLExBase Model=Qwen-32B, Model Family=Qwen-2.5 Instruct2026.0196.4
MaASOptimizer=Claude-3.5-Sonnet, Executor=Claude-3.7-Sonnet2026.0196.4
IAModel=GPT-4o2025.0596
CoT-SCOptimizer=Claude-3.5-Sonnet, Executor=Claude-3.7-Sonnet2026.0196
ADASOptimizer=Claude-3.5-Sonnet, Executor=Claude-3.7-Sonnet2026.0196
BayesFlowOptimizer=Claude-3.5-Sonnet, Executor=Claude-3.7-Sonnet2026.0196
TSBH (Pass@5)Model=Qwen2.5-7B2026.0496
FLExBase Model=Qwen-72B, Model Family=Qwen-2.5 Instruct2026.0195.7
RESP w/o re-genPruning Ratio=20%, Backbone=Qwen3-8B, prompt=8-shot2025.1295.53
RESPPruning Ratio=20%, Backbone=Qwen3-8B, prompt=8-shot2025.1295.53
FLExBase Model=Gemma-27B, Model Family=Gemma-3 Instruct2026.0195.5
SCBase Model=Qwen-14B, Model Family=Qwen-2.5 Instruct2026.0195.5
CoTOptimizer=Claude-3.5-Sonnet, Executor=Claude-3.7-Sonnet2026.0195.2
SCBase Model=Gemma-27B, Model Family=Gemma-3 Instruct2026.0195.1
RAGBase Model=Qwen-72B, Model Family=Qwen-2.5 Instruct2026.0195.1
No DefenseModel=GPT-4o-mini2025.0595
Self-ReminderModel=GPT-4o-mini2025.0595
ICDModel=GPT-4o-mini2025.0595
SAGEModel=GPT-4o-mini2025.0595
AoTBackbone=GPT-4o-mini2025.1195
FLExBase Model=Qwen-14B, Model Family=Qwen-2.5 Instruct2026.0194.8
RAGBase Model=Qwen-32B, Model Family=Qwen-2.5 Instruct2026.0194.8
SRBase Model=Qwen-72B, Model Family=Qwen-2.5 Instruct2026.0194.8
SRBase Model=Gemma-27B, Model Family=Gemma-3 Instruct2026.0194.7
ICL_bioBackbone=GPT-4o-mini, Variant=ICL_bio2024.0494.5
RAGBase Model=Gemma-27B, Model Family=Gemma-3 Instruct2026.0194.5
Bidirectional Curriculum Generation (Round 4)Data Volume=5,8732026.0394.47
RAGBase Model=Qwen-14B, Model Family=Qwen-2.5 Instruct2026.0194.4
Bidirectional Curriculum Generation (Round 2)Data Volume=1,6332026.0394.24
ICL_mathBackbone=GPT-4o-mini, Variant=ICL_math2024.0494.2
CoTBase Model=Gemma-27B, Model Family=Gemma-3 Instruct2026.0194.2
SRBase Model=Qwen-32B, Model Family=Qwen-2.5 Instruct2026.0194.1
Bidirectional Curriculum Generation (Round 1)Data Volume=8502026.0394.01
Goal PrioritizationModel=GPT-4o-mini2025.0594
Self-ExaminationModel=Claude-3.5-Sonnet2025.0594
SCBase Model=Gemma-12B, Model Family=Gemma-3 Instruct2026.0194
FoTBackbone=GPT-4o-mini, n=82025.1194
Bidirectional Curriculum Generation (Round 3)Data Volume=4,5942026.0393.93
CoTBase Model=Qwen-72B, Model Family=Qwen-2.5 Instruct2026.0193.9
DenoiseFlowBackbone LLM=GPT-4o-mini, System Category=Autonomous Multi-agent2026.0293.9
MASPOBBackbone LLM=GPT-4o-mini, Validation budget=502026.0393.9
FLExBase Model=Gemma-12B, Model Family=Gemma-3 Instruct2026.0193.8
SCBase Model=Qwen-72B, Model Family=Qwen-2.5 Instruct2026.0193.6
AFlowBackbone=GPT-4o-mini2025.1193.5
CoTBase Model=Gemma-12B, Model Family=Gemma-3 Instruct2026.0193.4
MegaScienceData Volume=1.25M2026.0393.4
AFlowBackbone LLM=GPT-4o-mini, Validation budget=502026.0393.36
GPT-4o-mini (Random_diff)Backbone=GPT-4o-mini, Example Selection=Random_diff2024.0493.3
GPT-4o-mini (Random_bio)Backbone=GPT-4o-mini, Example Selection=Random_bio2024.0493.2
SRBase Model=Gemma-12B, Model Family=Gemma-3 Instruct2026.0193.1
Jet-RLModel=Qwen3-8B-Base, Rollout Length=8k, Training Dataset (RL)=GSM8k + MATH2026.0193.1
Self-ExaminationModel=GPT-4o-mini2025.0593
ICDBackbone=Gemma-2-9B-IT2025.0593
No DefenseBackbone=Qwen2.5-7B-Instruct2025.0593
Self-ReminderBackbone=Qwen2.5-7B-Instruct2025.0593
Self-ExaminationBackbone=Qwen2.5-7B-Instruct2025.0593
SAGEBackbone=Qwen2.5-7B-Instruct2025.0593
SCBase Model=Qwen-7B, Model Family=Qwen-2.5 Instruct2026.0193
JudgeFlowBackbone LLM=GPT-4o-mini, System Category=Autonomous Multi-agent2026.0293
TSBH (Pass@5)Model=Llama3.2-3B2026.0493
ROASTModel=Qwen3-8B2026.0292.95
RAGBase Model=Gemma-12B, Model Family=Gemma-3 Instruct2026.0192.9
BF16Model=Qwen3-8B-Base, Rollout Length=8k, Training Dataset (RL)=GSM8k + MATH2026.0192.9
MIPROBackbone LLM=GPT-4o-mini, Validation budget=502026.0392.8
Fast-MathData Volume=7.9K2026.0392.8
Raiden-DeepSeek-R1Data Volume=62K2026.0392.72
QWQ-LongCoTData Volume=130K2026.0392.72
RESP w/o re-genPruning Ratio=30%, Backbone=Qwen3-8B, prompt=8-shot2025.1292.65
InstinctBackbone LLM=GPT-4o-mini, Validation budget=502026.0392.64
BaselineModel=Qwen3-8B2026.0292.61
GPT-4o-mini (Random_same)Backbone=GPT-4o-mini, Example Selection=Random_same2024.0492.6
SCBase Model=Qwen-32B, Model Family=Qwen-2.5 Instruct2026.0192.5
Few-shot-20Model=Qwen3-8B, Few-shot=202026.0292.46
MATHFusionData Volume=74732026.0392.42
MermaidFlowBackbone LLM=GPT-4o-mini, System Category=Autonomous Multi-agent2026.0292.4
TraDo 8BPost-train=SFT+RL, Model Type=Diffusion, Number of shots=4, Evaluation Protocol=same protocol (*)2026.0192.3
Full AttentionAttention complexity=O(L^2), Power (p)=12026.0192.2
LIMO2Data Volume=8002026.0392.19
CoTBase Model=Qwen-32B, Model Family=Qwen-2.5 Instruct2026.0192.1
TATAModel=Qwen2.5-14B2025.0292.1
BF16-Train-FP8-RolloutModel=Qwen3-8B-Base, Rollout Length=8k, Training Dataset (RL)=GSM8k + MATH2026.0192.1
No DefenseBackbone=Gemma-2-9B-IT2025.0592
ICDBackbone=Qwen2.5-7B-Instruct2025.0592
Chain-of-ThoughtBackbone=Gemma-3 (27B), Reasoning Strategy=CoT2026.0292
CoT-SCBackbone=GPT-4o-mini, n=52025.1192