Are GCR from Supernovae?

Power output of Supernovae shock ~1051/30yr = 1035W, of which and estimated 15% show up in GCR, or 2e34 Watts.
Lifetime of GCR ~ 1015s. (from 10B spallation)
Energy Density * Volume /Time = 1eV/cc*1069cc/1015s
= 3x1035Watts (and it only gets worse if you use the numbers in the galactic center) giving a ratio: SN/GCR = 0.1 !
Another calculation: Energy Density * velocity * area = luminosity  1eV/cc * 3e10cm/s *5e45cm2 = 1e35 Watts
Even if the entire energy of a supernova went into GCR, and as we argued earlier, acceleration is a very inefficient process, we would still have an energy budget problem!
(As some wag put it, SN are already highly oversubscribed, everyone already invokes it for their energy source)
Where is the energy for GCR coming from?

Power output of Supernovae shock ~1051/30yr = 1035W, of which and estimated 15% show up in GCR, or 2e34 Watts.