Conclusion: ... I see some inconsistent results ... 7 of ( R & R | R & R ) & R evaluates to 5 bits set on average.
If you plug ( R & R | R & R ) & R into the OP code and run it a few times, you'll see that the average does approximate 7:
C:\test>booleanBuk -N=1e2
7.02
C:\test>booleanBuk -N=1e2
6.88
C:\test>booleanBuk -N=1e2
7.06
C:\test>booleanBuk -N=1e2
7.06
C:\test>booleanBuk -N=1e2
6.92
C:\test>booleanBuk -N=1e2
7.08
And as you increase the number of iterations, the more closely the observations coincide with the theoretical value:
C:\test>booleanBuk -N=1e5
7.00138
C:\test>booleanBuk -N=1e5
6.98986
C:\test>booleanBuk -N=1e5
6.99812
C:\test>booleanBuk -N=1e5
7.00729
C:\test>booleanBuk -N=1e6
6.994402
C:\test>booleanBuk -N=1e6
7.002038
That's how I like my proofs. Tangible :)
Sorry if I have misunderstood your hypothesis.
Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.
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