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Planning on Sudoku

92.7AccuracyESPO
13.6634.1854.775.22Oct 13, 2025Nov 23, 2025Jan 3, 2026Feb 13, 2026Mar 26, 2026May 6, 2026Jun 16, 2026

Evaluation results

MethodLinks
ESPOBackbone=LLaDA-8B, Seq Len=1282025.1292.7——
ESPOSequence Length=128, k-shot=02026.0592.7——
RSPOGeneration length=2562026.0592.1——
GDSD w/ TLCSequence Length=256, k-shot=02026.0592——
GDSD w/ TLCSequence Length=Average, k-shot=02026.0591——
RSPOGeneration length=5122026.0590.8——
GDSD w/ TLCSequence Length=512, k-shot=02026.0590.6——
GDSD w/ TLCSequence Length=128, k-shot=02026.0590.4——
GDSDSequence Length=256, k-shot=02026.0589.8——
GDSDSequence Length=128, k-shot=02026.0589.5——
GDSDSequence Length=Average, k-shot=02026.0589.4——
FullModel=Dream-7B, Inference Strategy=Full2026.0389——
GDSDSequence Length=512, k-shot=02026.0588.8——
SPGSequence Length=256, k-shot=02026.0588.2——
LSPModel=Dream-7B, Inference Strategy=LSP2026.03883.36—
SPGSequence Length=128, k-shot=02026.0587.3——
ESPOBackbone=LLaDA-8B, Seq Len=Avg.2025.1286——
ESPOSequence Length=Average, k-shot=02026.0586——
ESPOBackbone=LLaDA-8B, Seq Len=2562025.1284.7——
ESPOSequence Length=256, k-shot=02026.0584.7——
Info-Gain SamplerK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0284.4——
PC-SamplerK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0283.6——
SPGSequence Length=Average, k-shot=02026.0582.4——
Info-Gain SamplerK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0282.2——
KLASSK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0282.1——
ConfidenceK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0281.6——
ConfidenceK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0281.5——
ESPOBackbone=LLaDA-8B, Seq Len=5122025.1280.5——
ESPOSequence Length=512, k-shot=02026.0580.5——
MarginK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0280.3——
PC-SamplerK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0280.2——
KLASSK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0279.9——
EntropyK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0278.8——
wd1Sequence Length=256, k-shot=02026.0576.4——
EntropyK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0276——
MarginK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0274.4——
ESPOBackbone=Dream-7B, Seq Len=2562025.1272.3——
ESPOBackbone=Dream-7B, Seq Len=Avg.2025.1271.8——
ESPOBackbone=Dream-7B, Seq Len=1282025.1271.7——
SPGSequence Length=512, k-shot=02026.0571.7——
ESPOBackbone=Dream-7B, Seq Len=5122025.1271.3——
diffu-GRPOBackbone=Dream-7B, Seq Len=2562025.1269.7——
diffu-GRPOBackbone=Dream-7B, Seq Len=1282025.1264.4——
wd1Sequence Length=512, k-shot=02026.0562.8——
diffu-GRPOBackbone=Dream-7B, Seq Len=Avg.2025.1261.7——
UniformK=1, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0260.4——
wd1Sequence Length=Average, k-shot=02026.0553.9——
UniformK=2, Backbone=Dream-7B, Decoding Strategy=Global, Attention Type=full-attention2026.0252.8——
diffu-GRPOBackbone=Dream-7B, Seq Len=5122025.1251.1——
wd1Backbone=Dream-7B, Seq Len=2562025.1239.2——
LSPModel=LLaDA-8B, Inference Strategy=LSP2026.03363—
FullModel=LLaDA-8B, Inference Strategy=Full2026.0335——
PC-Sampler w/ E-BONModel=LLaDA-1.5-8B, Decoding Strategy=PC-Sampler + E-BON2025.1234.2——
MarginModel=LLaDA-1.5-8B, Decoding Strategy=Margin2025.1233.6——
PC-Sampler w/ E-SMCModel=LLaDA-1.5-8B, Decoding Strategy=PC-Sampler + E-SMC2025.1233.6——
PC-SamplerModel=LLaDA-1.5-8B, Decoding Strategy=PC-Sampler2025.1233.4——
wd1Backbone=Dream-7B, Seq Len=Avg.2025.1233——
DMPOSequence Length=128, k-shot=02026.0532.8——
wd1Backbone=Dream-7B, Seq Len=5122025.1230.3——
wd1Backbone=Dream-7B, Seq Len=1282025.1229.5——
PC-Sampler w/ E-SMCModel=LLaDA-Instruct-8B, Decoding Strategy=PC-Sampler + E-SMC2025.1229.2——
PC-Sampler w/ E-BONModel=LLaDA-Instruct-8B, Decoding Strategy=PC-Sampler + E-BON2025.1228.2——
P2Model=LLaDA-1.5-8B, Decoding Strategy=P22025.1227.8——
PC-SamplerModel=LLaDA-Instruct-8B, Decoding Strategy=PC-Sampler2025.1227.6——
BGPOBase Model=LLaDA-8B-Instruct, RL Algorithm=BGPO2025.1026.9——
diffu-GRPOBackbone=LLaDA-8B, Seq Len=1282025.1226.7——
diffu-GRPO (d1)Sequence Length=128, k-shot=02026.0526.7——
diffu-GRPOBase Model=LLaDA-8B-Instruct, RL Algorithm=diffu-GRPO2025.1026.7——
MarginModel=LLaDA-Instruct-8B, Decoding Strategy=Margin2025.1226.6——
VRPO-OLBase Model=LLaDA-8B-Instruct, RL Algorithm=VRPO-OL, Sampling size (nt)=42025.1026.1——
BGPO (off-policy)Base Model=LLaDA-8B-Instruct, RL Algorithm=BGPO, Mode=off-policy2025.1026——
TraceRLGeneration length=2562026.0525.6——
DMPOSequence Length=Average, k-shot=02026.0525.6——
TraceRLGeneration length=5122026.0525.4——
wd12025.1025.2——
ConfidenceModel=LLaDA-1.5-8B, Decoding Strategy=Confidence2025.1224.8——
LLaDABackbone=LLaDA-8B, Seq Len=1282025.1224.8——
LLaDA-8BSequence Length=128, k-shot=02026.0524.8——
wd1Backbone=LLaDA-8B, Seq Len=5122025.1224.6——
wd1Generation length=5122026.0524.6——
DMPOSequence Length=256, k-shot=02026.0524.6——
EB-SamplerModel=LLaDA-Instruct-8B, Decoding Strategy=EB-Sampler2025.1224.2——
diffu-GRPOBackbone=LLaDA-8B, Seq Len=2562025.1224.1——
d1Generation length=2562026.0524.1——
diffu-GRPO (d1)Sequence Length=256, k-shot=02026.0524.1——
P2Model=LLaDA-Instruct-8B, Decoding Strategy=P22025.1224——
d-OPSDSeq Len=1282026.0623.9——
ConfidenceModel=LLaDA-Instruct-8B, Decoding Strategy=Confidence2025.1223.8——
wd1Backbone=LLaDA-8B, Seq Len=Avg.2025.1223.1——
wd1Backbone=LLaDA-8B, Seq Len=1282025.1222.6——
wd1Sequence Length=128, k-shot=02026.0522.6——
diffu-GRPOBackbone=LLaDA-8B, Seq Len=Avg.2025.1222.2——
diffu-GRPO (d1)Sequence Length=Average, k-shot=02026.0522.2——
wd1Backbone=LLaDA-8B, Seq Len=2562025.1222——
wd1Generation length=2562026.0522——
d-OPSDSeq Len=2562026.0620.6——
SAPOGeneration length=2562026.0520.3——
DMPOSequence Length=512, k-shot=02026.0520——
diffu-GRPOSeq Len=1282026.0618.4——
d1-LLaDA2025.1016.7——