sqrt Implementation
The library attempts a bitbased approximate approach to compute the square root of large numbers. While this might work if the inputs are carefully scaled, its quite complex and could be off by 1 in boundary conditions. Thorough testing is recommended.  
Autoscaling M  L
The logic that automatically promotes or demotes between 38digit and 72digit mantissas is fairly intricate. Even if the exponentmantissa logic were corrected, the transitions should be heavily fuzztested to ensure no corner cases are missed (e.g., borderline exponents, borderline mantissas near \(10^{38}\) or \(10^{72}\)).  
