Part 1 gave us the largest answer, Vicuna gives us the smallest. As a reminder, the correct answer is:
The first time I tested Vicuna, it said the following.
I found the “approximately 0.50000000” statement rather amusing.
I went back today to try again, and got another answer featuring “only an LLM could do this” mathematics.
Calculate πφ/e where φ is the golden ratio.
The golden ratio, denoted by the Greek letter phi (φ), is approximately equal to 1.618033988749895. To calculate πφ/e, we need to first calculate πφ and then divide it by e. We can calculate πφ by using the definition of the golden ratio: φ = (1 + sqrt(5))/2 Then, we can calculate πφ by taking the arctangent of the golden ratio: πφ = arctan(φ) Using a calculator, we get: πφ ≈ 1.5707963267948966 Finally, we can divide πφ by e to get: πφ/e ≈ 1.5707963267948966 / 2.718281828459045 Using a calculator, we get: πφ/e ≈ 0.5721565957184085 Therefore, πφ/e ≈ 0.5721565957184085.