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Re: Optimization of cascading recursions in "C" compilers?

From Kaz Kylheku <643-408-1753@kylheku.com>
Newsgroups comp.lang.c
Subject Re: Optimization of cascading recursions in "C" compilers?
Date 2025-10-27 21:03 +0000
Organization A noiseless patient Spider
Message-ID <20251027135309.93@kylheku.com> (permalink)
References (7 earlier) <10dg5kb$2m3c5$2@dont-email.me> <10dnf4o$2a744$1@dont-email.me> <10dnmd5$pgig$1@dont-email.me> <10doec7$2a744$2@dont-email.me> <20251027223319.00006ea9@yahoo.com>

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On 2025-10-27, Michael S <already5chosen@yahoo.com> wrote:
> Will A1+B1*pow(2, N) always outpace A2+B2*pow(1.618, N) when N is
> big enough ? Yes, it will.

pow(1.618, N) is equivalent to approximately  pow(2, 0.69421 * N).

Both are in the complexity class of pow(2, L(N)) where L(N) is a liner
function of N.

This is called E, which is subset of EXPTIME.

Within any complexity class, not all functions grow equally fast;
that would be same order, not same class.

E.g. in class P,  pow(n, 2) grows slower than pow(n, 3).

pow(2, N) unquestionably grows faster than pow(1.618, N).

Given any positive K constant factor, there always a N such that
such for all n >= N:

   pow(2, n)  > K * pow(1.618, n)

No matter how you scale the base 1.618 exponential by a constant,
the base 2 exponential will outgrow it after some N.
 

-- 
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Optimization of cascading recursions in "C" compilers? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-09-30 17:54 +0200
  Re: Optimization of cascading recursions in "C" compilers? David Brown <david.brown@hesbynett.no> - 2025-09-30 18:04 +0200
    Re: Optimization of cascading recursions in "C" compilers? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-10-01 00:15 +0200
  Re: Optimization of cascading recursions in "C" compilers? Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-30 16:12 +0000
    Re: Optimization of cascading recursions in "C" compilers? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-10-01 00:07 +0200
      Re: Optimization of cascading recursions in "C" compilers? Ben Bacarisse <ben@bsb.me.uk> - 2025-10-01 10:05 +0100
        Re: Optimization of cascading recursions in "C" compilers? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-10-01 19:01 +0200
          Re: Optimization of cascading recursions in "C" compilers? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-10-01 19:08 +0200
            Re: Optimization of cascading recursions in "C" compilers? Ben Bacarisse <ben@bsb.me.uk> - 2025-10-02 00:48 +0100
              Re: Optimization of cascading recursions in "C" compilers? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-10-02 05:25 +0200
                Re: Optimization of cascading recursions in "C" compilers? Ben Bacarisse <ben@bsb.me.uk> - 2025-10-03 15:09 +0100
                Re: Optimization of cascading recursions in "C" compilers? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-10-03 16:47 +0200
    Re: Optimization of cascading recursions in "C" compilers? bart <bc@freeuk.com> - 2025-10-01 00:02 +0100
      Re: Optimization of cascading recursions in "C" compilers? antispam@fricas.org (Waldek Hebisch) - 2025-10-01 01:22 +0000
    Re: Optimization of cascading recursions in "C" compilers? Rosario19 <Ros@invalid.invalid> - 2025-10-23 00:37 +0200
      Re: Optimization of cascading recursions in "C" compilers? Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-22 23:36 +0000
        Re: Optimization of cascading recursions in "C" compilers? Rosario19 <Ros@invalid.invalid> - 2025-10-24 09:53 +0200
          Re: Optimization of cascading recursions in "C" compilers? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-10-24 15:36 +0200
            Re: Optimization of cascading recursions in "C" compilers? Michael S <already5chosen@yahoo.com> - 2025-10-24 17:35 +0300
              Re: Optimization of cascading recursions in "C" compilers? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-10-24 17:22 +0200
                Re: Optimization of cascading recursions in "C" compilers? Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-24 17:14 +0000
                Re: Optimization of cascading recursions in "C" compilers? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-10-24 20:31 +0200
                Re: Optimization of cascading recursions in "C" compilers? Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-24 23:59 +0000
                Re: Optimization of cascading recursions in "C" compilers? James Kuyper <jameskuyper@alumni.caltech.edu> - 2025-10-27 05:48 -0400
                Re: Optimization of cascading recursions in "C" compilers? Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-10-27 12:52 +0100
                Re: Optimization of cascading recursions in "C" compilers? James Kuyper <jameskuyper@alumni.caltech.edu> - 2025-10-27 14:41 -0400
                Re: Optimization of cascading recursions in "C" compilers? Michael S <already5chosen@yahoo.com> - 2025-10-27 22:33 +0200
                Re: Optimization of cascading recursions in "C" compilers? James Kuyper <jameskuyper@alumni.caltech.edu> - 2025-10-27 16:52 -0400
                Re: Optimization of cascading recursions in "C" compilers? Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-27 21:03 +0000
                Re: Optimization of cascading recursions in "C" compilers? antispam@fricas.org (Waldek Hebisch) - 2025-10-28 01:58 +0000

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