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69 lines
1.9 KiB
Markdown
69 lines
1.9 KiB
Markdown
# Evaluating Composite Functions
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import { Tabs, Tab } from 'nextra/components'
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## Background
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This prompt tests an LLM's mathematical capabilities by prompting it to evaluate a given composition function.
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## Prompt
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Suppose $$g(x) = f^{-1}(x), g(0) = 5, g(4) = 7, g(3) = 2, g(7) = 9, g(9) = 6$$ what is $$f(f(f(6)))$$?
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## Code / API
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<Tabs items={['GPT-4 (OpenAI)', 'Mixtral MoE 8x7B Instruct (Fireworks)']}>
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<Tab>
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```python
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from openai import OpenAI
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client = OpenAI()
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response = client.chat.completions.create(
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model="gpt-4",
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messages=[
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{
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"role": "user",
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"content": "Suppose g(x) = f^{-1}(x), g(0) = 5, g(4) = 7, g(3) = 2, g(7) = 9, g(9) = 6 what is f(f(f(6)))?\n"
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}
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],
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temperature=1,
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max_tokens=256,
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top_p=1,
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frequency_penalty=0,
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presence_penalty=0
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)
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```
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</Tab>
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<Tab>
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```python
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import fireworks.client
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fireworks.client.api_key = "<FIREWORKS_API_KEY>"
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completion = fireworks.client.ChatCompletion.create(
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model="accounts/fireworks/models/mixtral-8x7b-instruct",
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messages=[
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{
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"role": "user",
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"content": "Suppose g(x) = f^{-1}(x), g(0) = 5, g(4) = 7, g(3) = 2, g(7) = 9, g(9) = 6 what is f(f(f(6)))?",
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}
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],
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stop=["<|im_start|>","<|im_end|>","<|endoftext|>"],
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stream=True,
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n=1,
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top_p=1,
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top_k=40,
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presence_penalty=0,
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frequency_penalty=0,
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prompt_truncate_len=1024,
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context_length_exceeded_behavior="truncate",
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temperature=0.9,
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max_tokens=4000
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)
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```
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</Tab>
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</Tabs>
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## Reference
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- [Sparks of Artificial General Intelligence: Early experiments with GPT-4](https://arxiv.org/abs/2303.12712) (13 April 2023) |