Based on the input-output pairs from our experiments, it seems like the function has various behaviors in different intervals. Around multiples of 40, the output seems to be either very close to 0.4119 or 3.8. Additionally, in other test cases, the output is close to -4.15, -2.35, or 2.84. Ultimately, it seems that the function is a piecewise function that combines multiple input ranges with these approximate outputs.

