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@@ -243,21 +243,30 @@ See the paper for dataset versions, prompts, answer extraction, and the complete
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  ### Key Results
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- | Model | GSM-Plus Pass@3 ↑ | Tokens ↓ | AIME24 Pass@3 ↑ | Tokens ↓ | AIME25 Pass@3 ↑ | Tokens ↓ |
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- |---|---:|---:|---:|---:|---:|---:|
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- | R1-Distill-Qwen backbone | 79.4 | **590** | 46.0 | 14,195 | 32.0 | 12,616 |
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- | **When2Think-1.5B** | **85.7** | 1,052 | **56.0** | **10,236** | **40.0** | **9,549** |
 
 
 
 
 
 
 
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  Key observations:
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- - **AIME24:** Pass@3 improves by **10.0 percentage points**, while average generated tokens decrease by **27.9%** relative to the backbone.
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- - **AIME25:** Pass@3 improves by **8.0 percentage points**, while average generated tokens decrease by **24.3%** relative to the backbone.
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- - **GSM-Plus:** The model uses more tokens than the backbone while improving accuracy, illustrating that adaptive allocation may reduce, preserve, or increase computation depending on the task.
 
 
 
 
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  For complete baselines, standard deviations, difficulty-stratified analysis, and ablations, see the [paper](https://arxiv.org/abs/2609.19671).
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- #### Summary
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-
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  ## Citation
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  <!-- If there is a paper or blog post introducing the model, the APA and Bibtex information for that should go in this section. -->
 
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  ### Key Results
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+ | Model | MATH-500 L1 Pass@1 ↑ | Tokens ↓ | GSM-Plus Pass@3 ↑ | Tokens ↓ | AIME24 Pass@3 ↑ | Tokens ↓ | AIME25 Pass@3 ↑ | Tokens ↓ |
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+ |---|---:|---:|---:|---:|---:|---:|---:|---:|
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+ | R1-Distill-Qwen backbone | 92.1 | 1,199 | 79.4 | **590** | 46.0 | 14,195 | 32.0 | 12,616 |
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+ | **When2Think-1.5B** | **95.8** | **619** | 85.7 | 1,052 | 56.0 | 10,236 | **40.0** | **9,549** |
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+ | **When2Think-ThinkOnly-1.5B** | N/R | N/R | **86.8** | 1,652 | **57.3** | **10,046** | **40.0** | 9,846 |
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+ > `When2Think-ThinkOnly-1.5B` corresponds to the paper's
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+ > **w/o IS (IDAC + BWS)** variant. Its MATH-500 Level 1 results are not
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+ > separately reported in the paper and are therefore marked as `N/R`.
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+ ### Summary
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  Key observations:
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+ - **Easy-instance allocation:** On MATH-500 Level 1, When2Think improves Pass@1 from **92.1% to 95.8%** while reducing average generated tokens from **1,199 to 619**, a reduction of **580 tokens**, or approximately **48.4%**. This demonstrates that the hybrid checkpoint can favor direct answering when extended deliberation provides limited benefit.
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+ - **Task-dependent allocation:** On GSM-Plus, When2Think uses more tokens than the backbone while improving Pass@3 from **79.4% to 85.7%**. Together with the MATH-500 Level 1 result, this shows that adaptive allocation may reduce, preserve, or increase computation depending on the input.
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+ - **When2Think-1.5B on AIME24:** Pass@3 improves by **10.0 percentage points**, while average generated tokens decrease by **27.9%** relative to the backbone.
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+ - **When2Think-1.5B on AIME25:** Pass@3 improves by **8.0 percentage points**, while average generated tokens decrease by **24.3%** relative to the backbone.
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+ - **When2Think-ThinkOnly-1.5B:** Achieves **57.3% Pass@3** on AIME24 and **40.0% Pass@3** on AIME25 while always using explicit reasoning.
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+ - **Within-THINK control:** The strong THINK-only results show that difficulty-aware computation control contributes independently of THINK/NOTHINK mode selection.
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+ - **Different operating points:** The hybrid and THINK-only checkpoints represent different accuracy-computation operating points rather than a strict performance ordering.
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  For complete baselines, standard deviations, difficulty-stratified analysis, and ablations, see the [paper](https://arxiv.org/abs/2609.19671).
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  ## Citation
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  <!-- If there is a paper or blog post introducing the model, the APA and Bibtex information for that should go in this section. -->