A lookup table (for any function) that covered all values between 0 and 1 in single precision, would be ~4GB; there are approximately 1B values between 0 and 1,

A lookup table (for any function) that covered all values between 0 and 1 in single precision, would be ~4GB; there are approximately 1B values between 0 and 1, and the result of each value is 4 bytes. Such a table for double-precision would be much, much larger.