Not getting the absolute voltage output from the op-amp absolute value amplifier circuit?
I put your circuit into LTspice but it didn't work very well even when I upped the supply voltage to +/- 12V, so I  Googled "precision full wave rectifier" and then clicked on the "More images..." header.

I found the circuit below, which looked pretty good, and tried it. 

Unfortunately, I got oscillations on the rectified negative half-cycles and, suspecting the phase response through part(?) of the circuit to be the reason, I plugged in a couple of LT1007s to see if I could speed the thing up and brute force the oscillation out of there, and it cleaned up everything nicely!

If you want to play with the circuit, here's the LTspice circuit list.