A developer shared their fifth small language model, trained from scratch on 22.7B tokens and fine-tuned for arithmetic. The 348M-parameter model solves 14-digit problems by showing intermediate work — column addition with carries, borrow chains, and partial-product multiplication — rather than guessing answers. It improves on the author's previous 326M model trained on 10B tokens.
A developer implemented the grade-school multiplication algorithm as a computation graph and compiled it into a stock Phi-3 checkpoint using his own compiler, Torchwright, achieving 100% accuracy on all 3,000,000 supported three-digit expressions without any training. He published checkpoints supporting up to 12-digit by 12-digit multiplication and tested six frontier models for comparison.
A developer implemented the grade-school multiplication algorithm as a computation graph and compiled it into a stock Phi-3 checkpoint using his own compiler, Torchwright, achieving 100% accuracy on all 3,000,000 supported three-digit expressions without any training. He published checkpoints supporting up to 12-digit by 12-digit multiplication and tested six frontier models for comparison.
A new arXiv survey argues that LLMs remain unreliable at elementary numerical tasks—magnitude comparison, large-integer arithmetic, fractions, scientific notation—despite strong math reasoning benchmarks. It introduces the Numerical Grounding Framework (NGF), decomposing numeracy into Representational Grounding (RG) and Procedural Grounding (PG), as a path to improvement.
A new arXiv survey argues that LLMs remain unreliable at elementary numerical tasks—magnitude comparison, large-integer arithmetic, fractions, scientific notation—despite strong math reasoning benchmarks. It introduces the Numerical Grounding Framework (NGF), decomposing numeracy into Representational Grounding (RG) and Procedural Grounding (PG), as a path to improvement.
Inspired by Colin Fraser's two-year-old GPT-4o experiment on adding large numbers and writing answers in words, Simon Willison reran the test locally on a DGX Spark with Qwen3.8-27B. With reasoning enabled, the model answered correctly in 167 of 169 one-shot attempts. The result offers a controlled look at how reasoning modes affect LLM arithmetic reliability.
Inspired by Colin Fraser's two-year-old GPT-4o experiment on adding large numbers and writing answers in words, Simon Willison reran the test locally on a DGX Spark with Qwen3.8-27B. With reasoning enabled, the model answered correctly in 167 of 169 one-shot attempts. The result offers a controlled look at how reasoning modes affect LLM arithmetic reliability.
A developer released Shibai-700M-Base, a 700M parameter model pre-trained on 18B tokens of Python and Wikitext. The model is not fine-tuned for chat and is intended for continued pre-training on doc string Python. The author acknowledges it likely underperforms Qwen 3 0.6B and Qwen 3.5 0.8B but claims it is an order of magnitude better than GPT-2.
A developer released Shibai-700M-Base, a 700M parameter model pre-trained on 18B tokens of Python and Wikitext. The model is not fine-tuned for chat and is intended for continued pre-training on doc string Python. The author acknowledges it likely underperforms Qwen 3 0.6B and Qwen 3.5 0.8B but claims it is an order of magnitude better than GPT-2.
A new paper introduces a 20B parameter looping model that matches or beats Qwen3 Coder 30B while using only 3.5 trillion pre-training tokens (10% of the typical 35 trillion). The model was trained for hundreds of thousands of dollars, far less than the millions usually required, raising hopes for hobbyist-level pretraining. No weights have been released yet.
A new paper introduces a 20B parameter looping model that matches or beats Qwen3 Coder 30B while using only 3.5 trillion pre-training tokens (10% of the typical 35 trillion). The model was trained for hundreds of thousands of dollars, far less than the millions usually required, raising hopes for hobbyist-level pretraining. No weights have been released yet.