in reply to Re^4: Infinite JAPHs?
in thread Infinite JAPHs?

Let's say we're talking 10**66 different JAPHs. The Universe is projected to live a total of roughly 30 billion years, or 3E10**10. That means the Universe will live (roughly!) 3E10**10 * 365 * 86400, or 10**18 seconds (with a little hand-waving in there to get a nice number). That means you would have to generate 10**48 JAPHS per second, starting at the Big Bang!, to get there. In case you're missing the point further, that's


JAPHs per second. Or, the number of seconds the Universe is project to live . . . to the third power.

Now, let's take Moore's Law. Let's say that it takes an average of a billion floating-point operations to test a random Perl script against /^Just another Perl hacker[,\n]$/. (We'll leave out, for a second, those that enter an infinite loop.) That means, currently, IBM's BlueGene/L computer (currently the fastest in the world at 92 teraflops) can do, roughly, 10**8 JAPHs per second. That's pretty good!

Let's assume Moore's Law holds and computing power doubles every 18 months. (We'll leave aside the cost issues.) Assuming the Universe will live for another 15 billion years, that means that the computing power will multiplied by 2 ** (10**10). Now, it's a close approximation that 2**10 == 10**3. So:

2**(10**10) ==> (2**10)**(10**9)
            ==> (10**3)**(10**9)
            ==> 10**(3*10**9)
            ~~> 10**(10**9.3)
That means that the current 10**8/second will go up to roughly 10 ** (10**9.3 * 8) or, roughly, 10 ** (10 **10.2) / second - well above the projected 10**66 total JAPHs. So, yes, Moore's Law applied to BlueGene/L will handle the number of projected 4x80 JAPHs before the Universe dies. :-)

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Re^6: Infinite JAPHs?
by Mutant (Priest) on Mar 31, 2005 at 14:32 UTC
    Now all I have to do is convince my boss that investing in this project is a *good* idea!