Bundy's bibliography does not include this paper, which includes my
and which has Bundy as a co-author.
I think that you would find (unless PRESS has been substantially changed)
PRESS has significantly fewer capabilities, returns results that are
sometimes. Sometimes the results are mathematically wrong. For instance
how effective would your "solve" program be if it could not divide
There may be some task at which the PRESS meta-level analysis is
useful, but it probably isn't improving "symbolic mathematical equation
On Wednesday, October 12, 2016 at 10:50:31 AM UTC-7, tkosan wrote:
> Thierry wrote:
> > such a tool could be interesting. However, we are lacking concrete
> > examples on PRESS abilities. It would be nice if you could provide some
> > examples (and perhaps benchmarks), especially for things that Sage's
> > command is not able deal with correctely (they are tons, just have a
> > on https://ask.sagemath.org). The only example i could find in the
> > testing/ directory on the public reposiroty, is log(x,2) + 4*log(2,x) ==
> > (in Sage's notations), which does not tell much about PRESS abilities.
> Most of the research papers on PRESS are available on the following
> The paper titled "Solving Symbolic Equations with PRESS" (which is in
> the 1982 section of this website) states the following about the kinds
> of equations PRESS was designed to solve:
> "The equations PRESS has been solving are largely taken from English
> examination papers. Such examinations are taken by 18 year olds in
> their final year
> of high school, and are used to help decide suitability for university
> Particular papers used are those issued by the Associated Examining
> Board (A.E.B.),
> the University of London, and the University of Oxford. The years
> range from 1971 to
> 1979. Currently the program solves 69 out of 83 single equations and
> 10 out of 14
> sets of simultaneous equations. Some typical problems are
> 4^(2*x+1) * 5^(x-2) = 6^(1-x) (A.E.B. November 1971)
> cos(x) + cos(3*x) + cos(5*x) = 0 (A.E.B. June 1976)
> 3*tan(3*x) - tan(x) + 2 = 0 (Oxford Autumn 1978)
> log_2 x + 4*log_x 2 = 5 (London January 1978)
> 3*sech^2(x) + 4*tanh(x) + 1 = 0 (A.E.B. June 1971)
> log_e(x+1) + log_e(x-1) = 3
> e^(3*x) - 4*e^x + 3*e^(-x) = 0 (London June 1977)
> cosh(x) - 3*sinh(y) = O & 2*sinh(x) + 6*cosh(y) = 5 (A.E.B. June 1973)"
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