Thanks! That's a big help, but I am not finished yet. Here is where I am 
now:

Step 1: Use your code.
name 'StrPrinter' is not defined
changed StrPrinter to sympy.printing.str.StrPrinter
https://docs.sympy.org/latest/modules/printing.html
name 'degree' is not defined
I tried key=sympy.printing.str.degree, but that gave me
module 'sympy.printing.str' has no attribute 'degree'
Then I tried key=sympy.degree and that worked.
Now the two series are being printed in the desired order.

Step 2: Use latex
I tried changing print(doprint(series)) to print(latex(doprint(series)))
and the result is
\mathtt{\text{-2.565*t + 147.94*t**3 - 2867.7*t**5}}
which doesn't format correctly in Word's equation editor or in 
www.overleaf.com,
where it formats correctly, but issues an error
Undefined control sequence.
LaTeX Error: \mathtt allowed only in math mode.
I tried changing the string to 
-2.565*t + 147.94*t**3 - 2867.7*t**5
and this formats correctly in Word and in Overleaf.
Then I tried
doprint = 
sympy.printing.latex.LatexPrinter(settings={'order':'none'}).doprint
but that throws an exception
'_PrintFunction' object has no attribute 'LatexPrinter'
even though the class
class sympy.printing.latex.LatexPrinter(settings=None)
is defined in
https://docs.sympy.org/latest/modules/printing.html#module-sympy.printing.latex

Still to do:
Learn how this works.
Learn why evalf(5) works. The documentation at
https://docs.sympy.org/latest/modules/evalf.html
doesn't make it clear to me what the possible arguments are and what they 
mean.
Find documentation for sorted and key=degree. 
I searched for sympy degree and found polynomials and angles, but still 
don't understand this one.


On Sunday, March 5, 2023 at 8:53:32 PM UTC+1 Oscar wrote:

On Sun, 5 Mar 2023 at 08:32, Thomas Ligon <[email protected]> wrote: 
> 
> I have a lot of power series that look like this (but going up to t**12): 
> exp1 = -2867.70035529489*t**5 + 147.938724526848*t**3 - 
2.56500070531002*t 
> While trying to gain some insight into the mathematics that creates them, 
I want to print a shorter version, such as 
> - 2.565 t + 147.93872 t**3- 2867.70036 t**5 
> but the best I have achieved is 
> - 2867.70036 t^{5} + \left(147.93872 t^{3} - 2.565 t\right) 
> Rounding the numbers was easy, but I would prefer to round to 5 digits 
total, not 5 digits after the decimal point. I was able to convert the 
expression to a list and sort the list, but when I converted the list back 
to an expression, I didn't succeed in producing the order I wanted. 

You can get 5 digits by using exp1.evalf(5). 

It is surprisingly difficult to control the order of terms in sympy's 
printing functionality but it is possible: 

In [1]: exp1 = -2867.70035529489*t**5 + 147.938724526848*t**3 - 
2.56500070531002*t 

In [2]: doprint = StrPrinter(settings={'order':'none'}).doprint 

In [3]: series = Add(*sorted(exp1.evalf(5).args, key=degree), 
evaluate=False) 

In [4]: print(doprint(series)) 
-2.565*t + 147.94*t**3 - 2867.7*t**5 

There are two steps to controlling the order: 

- Ordering the terms in the expression itself (the series variable above). 
- Getting the printer to respect that ordering ('order':'none'). 

It should be possible to set order=None with init_printing and that 
does work for the pretty printer but not for string printing (i.e. 
print(expr) or str(expr)). 

-- 
Oscar 

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