After some consideration, I decided I would take a stab at this since when I started playing bass, I ignored the basics and went straight to trying tapping classical music ala Stuart Hamm style. Based on my own experience and assuming that you want to play this piece specifically and this well, I'm going to guess right at about 4 months.
HOWEVER, there's a huge catch. That's going to be the only thing you can play. If you want to learn another song of similar style and complexity it will take you a little less than another 4 months. And every song after that will take a similar amount of time.
The alternative is to learn the basics and start teaching yourself some basic music theory, Practice common chords and arpeggios and scales in a structured comprehensive approach. You need to teach yourself rhythm by playing with a metronome or drum machine and it would be wise to get some practice in playing with others even if you just want to play solo pieces. You are going to have to break down and do all this eventally unless you want to struggle at being a musician on every thing you do.
The amount of time for all that? I'd guess 4 to 6 years depending on various things. After that, you should be able to learn songs such as that in a couple weeks or so.
HOWEVER, there's a huge catch. That's going to be the only thing you can play. If you want to learn another song of similar style and complexity it will take you a little less than another 4 months. And every song after that will take a similar amount of time.
The alternative is to learn the basics and start teaching yourself some basic music theory, Practice common chords and arpeggios and scales in a structured comprehensive approach. You need to teach yourself rhythm by playing with a metronome or drum machine and it would be wise to get some practice in playing with others even if you just want to play solo pieces. You are going to have to break down and do all this eventally unless you want to struggle at being a musician on every thing you do.
The amount of time for all that? I'd guess 4 to 6 years depending on various things. After that, you should be able to learn songs such as that in a couple weeks or so.

