Estimate Complexity

To estimate the total number of FLOPs (floating point operations) required to train GPT-3, we'll use the following steps:

1. Model size: GPT-3 has 175 billion parameters.
2. Training tokens: GPT-3 was trained on 300 billion tokens.
3. FLOPs per token: To estimate the FLOPs per token, we'll use the rule of thumb that training a transformer model requires about 6 FLOPs per parameter per token.
4. Total FLOPs: Multiply the number of parameters by the number of tokens and the FLOPs per token.

Now let's calculate:

1. Model size: 175 billion parameters = 175 * 10^9
2. Training tokens: 300 billion tokens = 300 * 10^9
3. FLOPs per token: 6 FLOPs per parameter per token
4. Total FLOPs: (175 * 10^9) * (300 * 10^9) * 6 = 3.15 * 10^23 FLOPs

So, the estimated total number of FLOPs required to train GPT-3 is approximately 3.15 * 10^23.