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cs249r_book/mlsysim/docs/api/solvers.InferenceScalingModel.qmd
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# solvers.InferenceScalingModel { #mlsysim.solvers.InferenceScalingModel }
```python
solvers.InferenceScalingModel()
```
Models inference-time compute scaling (Wall 12: Reasoning/CoT Cost).
This model quantifies the cost of 'System-2 thinking' — inference-time
compute scaling via chain-of-thought (CoT) reasoning, where the model
generates K intermediate reasoning steps before producing the final answer.
Each step incurs the full cost of autoregressive decoding.
Literature Source:
1. Wei et al. (2022), "Chain-of-Thought Prompting Elicits Reasoning in
Large Language Models."
2. Snell et al. (2024), "Scaling LLM Test-Time Compute Optimally Can Be
More Effective Than Scaling Model Parameters."
3. OpenAI (2024), "Learning to Reason with LLMs." (o1 reasoning model.)
## Methods
| Name | Description |
| --- | --- |
| [solve](#mlsysim.solvers.InferenceScalingModel.solve) | Solves for inference-time reasoning cost. |
### solve { #mlsysim.solvers.InferenceScalingModel.solve }
```python
solvers.InferenceScalingModel.solve(
model,
hardware,
reasoning_steps=8,
context_length=2048,
precision='fp16',
efficiency=0.5,
)
```
Solves for inference-time reasoning cost.
#### Parameters {.doc-section .doc-section-parameters}
| Name | Type | Description | Default |
|-----------------|---------------------|------------------------------------------------------|------------|
| model | TransformerWorkload | The language model used for reasoning. | _required_ |
| hardware | HardwareNode | The target hardware node. | _required_ |
| reasoning_steps | int | Number of reasoning steps K (each generates tokens). | `8` |
| context_length | int | Input context length in tokens. | `2048` |
| precision | str | Numerical precision. | `'fp16'` |
| efficiency | float | Compute efficiency factor (0.0 to 1.0). | `0.5` |
#### Returns {.doc-section .doc-section-returns}
| Name | Type | Description |
|--------|------------------|---------------------------------------------------------|
| | Dict\[str, Any\] | Total reasoning time, cost per query, and token counts. |