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Planning on Countdown

87.5AccuracyBGPO
4.61226.13147.6569.169Oct 13, 2025Nov 23, 2025Jan 3, 2026Feb 13, 2026Mar 26, 2026May 6, 2026Jun 16, 2026

Evaluation results

MethodLinks
BGPOBase Model=LLaDA-8B-Instruct, RL Algorithm=BGPO2025.1087.5
VRPO-OLBase Model=LLaDA-8B-Instruct, RL Algorithm=VRPO-OL, Sampling size (nt)=42025.1084.8
BGPO (off-policy)Base Model=LLaDA-8B-Instruct, RL Algorithm=BGPO, Mode=off-policy2025.1084.8
ESPOBackbone=LLaDA-8B, Seq Len=2562025.1282
ESPOBackbone=LLaDA-8B, Seq Len=1282025.1281.6
ESPOBackbone=LLaDA-8B, Seq Len=Avg.2025.1281
ESPOBackbone=LLaDA-8B, Seq Len=5122025.1279.3
RSPOGeneration length=2562026.0578.83
RSPOGeneration length=5122026.0573.83
ESPOBackbone=Dream-7B, Seq Len=1282025.1268.8
ESPOBackbone=Dream-7B, Seq Len=2562025.1266.8
ESPOBackbone=Dream-7B, Seq Len=Avg.2025.1266.8
ESPOBackbone=Dream-7B, Seq Len=5122025.1264.8
SAPOGeneration length=5122026.0556.3
diffu-GRPOBase Model=LLaDA-8B-Instruct, RL Algorithm=diffu-GRPO2025.1053.1
TraceRLGeneration length=5122026.0552.6
SAPOGeneration length=2562026.0552
wd1Backbone=LLaDA-8B, Seq Len=2562025.1251.2
wd1Generation length=2562026.0551.2
TraceRLGeneration length=2562026.0550.4
wd1Backbone=LLaDA-8B, Seq Len=Avg.2025.1248.3
wd1Backbone=LLaDA-8B, Seq Len=1282025.1247.7
wd1Backbone=LLaDA-8B, Seq Len=5122025.1246.1
wd1Generation length=5122026.0546.1
wd12025.1046.1
Info-Gain SamplerK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0245.2
Info-Gain SamplerK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0244.1
PC-SamplerK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0242.4
PC-Sampler w/ E-BONModel=LLaDA-Instruct-8B, Decoding Strategy=PC-Sampler + E-BON2025.1242.2
wd1Backbone=Dream-7B, Seq Len=5122025.1242.2
PC-SamplerK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0241.8
PC-Sampler w/ E-SMCModel=LLaDA-Instruct-8B, Decoding Strategy=PC-Sampler + E-SMC2025.1240.4
PC-Sampler w/ E-BONModel=LLaDA-1.5-8B, Decoding Strategy=PC-Sampler + E-BON2025.1240.2
PC-Sampler w/ E-SMCModel=LLaDA-1.5-8B, Decoding Strategy=PC-Sampler + E-SMC2025.1239.3
ConfidenceK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0239.2
wd1Backbone=Dream-7B, Seq Len=2562025.1237.9
d-OPSDSeq Len=1282026.0637.9
diffu-GRPOBackbone=Dream-7B, Seq Len=5122025.1237.5
diffu-GRPOBackbone=LLaDA-8B, Seq Len=5122025.1237.1
d1Generation length=5122026.0537.1
d3LLMSeq Len=1282026.0636.7
PC-SamplerModel=LLaDA-Instruct-8B, Decoding Strategy=PC-Sampler2025.1236.3
wd1Backbone=Dream-7B, Seq Len=Avg.2025.1236.3
ConfidenceK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0236.2
KLASSK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0235.4
MarginK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0235.2
PC-SamplerModel=LLaDA-1.5-8B, Decoding Strategy=PC-Sampler2025.1235
EntropyModel=LLaDA-1.5-8B, Decoding Strategy=Entropy2025.1234.7
EB-SamplerModel=LLaDA-1.5-8B, Decoding Strategy=EB-Sampler2025.1234.6
KLASSK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0234.3
P2Model=LLaDA-Instruct-8B, Decoding Strategy=P22025.1234.2
EB-SamplerModel=LLaDA-Instruct-8B, Decoding Strategy=EB-Sampler2025.1234.1
ConfidenceModel=LLaDA-Instruct-8B, Decoding Strategy=Confidence2025.1234
MarginModel=LLaDA-Instruct-8B, Decoding Strategy=Margin2025.1233.9
diffu-GRPOBackbone=LLaDA-8B, Seq Len=Avg.2025.1233.9
EntropyModel=LLaDA-Instruct-8B, Decoding Strategy=Entropy2025.1233.8
ConfidenceModel=LLaDA-1.5-8B, Decoding Strategy=Confidence2025.1233.8
P2Model=LLaDA-1.5-8B, Decoding Strategy=P22025.1233.6
EntropyK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0233.6
diffu-GRPOBackbone=LLaDA-8B, Seq Len=1282025.1233.2
diffu-GRPOSeq Len=1282026.0633.2
Fast-dLLMModel=LLaDA-1.5-8B, Decoding Strategy=Fast-dLLM2025.1232.9
Semi-ARModel=LLaDA-Instruct-8B, Decoding Strategy=Semi-AR2025.1232.6
Semi-ARModel=LLaDA-1.5-8B, Decoding Strategy=Semi-AR2025.1232.4
d-OPSDSeq Len=2562026.0632.3
d1-LLaDA2025.1032
MarginModel=LLaDA-1.5-8B, Decoding Strategy=Margin2025.1231.8
diffu-GRPOBackbone=LLaDA-8B, Seq Len=2562025.1231.3
d1Generation length=2562026.0531.3
diffu-GRPOSeq Len=2562026.0631.3
diffu-GRPOBackbone=Dream-7B, Seq Len=Avg.2025.1230.8
wd1Backbone=Dream-7B, Seq Len=1282025.1228.9
MarginK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0228.9
diffu-GRPOBackbone=Dream-7B, Seq Len=2562025.1227.7
diffu-GRPOBackbone=Dream-7B, Seq Len=1282025.1227.3
EntropyK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0223.2
VRPOGeneration length=2562026.0522.3
VRPOSeq Len=1282026.0621.9
VRPOSeq Len=2562026.0621.1
LLaDABackbone=LLaDA-8B, Seq Len=1282025.1220.7
LLaDA-8B-InstructSeq Len=1282026.0620.3
SFT VariantSeq Len=1282026.0620.3
LLaDABackbone=LLaDA-8B, Seq Len=2562025.1219.5
LLaDA-8B-InstructGeneration length=2562026.0519.5
LLaDA-8B-InstructBase Model=LLaDA-8B-Instruct2025.1019.5
LLaDA-8B-InstructSeq Len=2562026.0619.1
LLaDABackbone=LLaDA-8B, Seq Len=Avg.2025.1218.7
VRPOGeneration length=5122026.0518
DreamBackbone=Dream-7B, Seq Len=5122025.1217.4
LLaDABackbone=LLaDA-8B, Seq Len=5122025.1216
LLaDA-8B-InstructGeneration length=5122026.0516
UniformModel=LLaDA-1.5-8B, Decoding Strategy=Uniform2025.1215.8
SFT VariantSeq Len=2562026.0614.5
UniformModel=LLaDA-Instruct-8B, Decoding Strategy=Uniform2025.1214.4
d3LLMSeq Len=2562026.0612.5
Fast-dLLMModel=LLaDA-Instruct-8B, Decoding Strategy=Fast-dLLM2025.1211.4
DreamBackbone=Dream-7B, Seq Len=Avg.2025.1211.2
UniformK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.028.8
DreamBackbone=Dream-7B, Seq Len=1282025.128.5
DreamBackbone=Dream-7B, Seq Len=2562025.127.8