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Maple's fsolve command can quickly solve expressions involving large floating point numbers where the (symbolic) solve command can take much longer attempting to solve the equivalent rational expression. For example, consider the following worksheet:

> 

restart;
> 

sys := {a + b^0.2784982189 = c+1, b + c^0.9575068354 = a+2, c + a^0.1576130817 = b+3};

{a+b^.2784982189 = c+1, b+c^.9575068354 = a+2, c+a^.1576130817 = b+3}

 (1)
> 

fsolve_start:=time[real]():
> 

fsolve(sys);

{a = 3.561242843, b = 1.994950678, c = 3.773320855}

 (2)
> 

fsolve_elapsed_seconds:= time[real]()-fsolve_start;

0.50e-1

 (3)
> 

solve_start:=time[real]():
> 

###warning, the following command may crash and/or execute indefinitely###
> 

solve(sys);
> 

solve_elapsed_hours:=(time[real]()-solve_start)/3600;


 

Download solve-fsolve-primes.mw
solve fsolve float

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