The function appears to involve a mix of both exponential-like and oscillatory behavior. When the input value is around -128, -123, -118, -113, ..., the function returns values around 1.0 and 2.0. When input values fall in-between these, the function tends to be between 0 and 3. For input values between -98 and -78, and positive input values greater than 20, the output is more stable and shows some exponential decay and growth.

