This looks like the issue reported at 
https://github.com/sagemath/sage/issues/34233.

-- 
John


On Thursday, April 13, 2023 at 2:13:44 PM UTC-7 Fernando Gouvea wrote:

> That seems right. Plotting x^6/(1-x)^7 shows the error, but x^5/(1-x)^6 
> does not. And
>
> .9^6/.1^7 = 5.31441000000001e6
>
> .9^5/.1^6 = 590490.000000001
>
> So it seems that there should be a 1e6 label that is somehow not appearing.
>
> Fernando
> On 4/13/2023 4:33 PM, William Stein wrote:
>
> I tried "plot(g(x),(0.8,0.9))" and it says "1e10" in the upper left of the 
> plot, suggesting it is labeling the y axis with the labels divided by 1e10, 
> and maybe somehow that 1e10 gets cut off in your example. See below.  The 
> default plotting in Sage got implemented as follows: In 2006 I said to Alex 
> Clemesha (who had just got his undergrad degree), "implement 2d plotting 
> for Sage that has the same API and look as mathematica, but translated to 
> be pythonic", and he did that.  So whatever is happening here with the 
> labels changing, might be just copying what "Mathematica in 2006" did...
>
> [image: image.png]
>
> On Thu, Apr 13, 2023 at 1:22 PM Fernando Gouvea <fqgo...@colby.edu> wrote:
>
>> I get the same results in 9.2 and 9.6.
>>
>> Fernando
>> On 4/13/2023 4:17 PM, William Stein wrote:
>>
>> Hi,
>>
>> I think I randomly ran into this same thing with sage-9.8 this week too.  
>> My guess is that there is some sort of overflow bug in the computation of 
>> the y-axis labels.  It's probably one of the most severe bugs in sage ever, 
>> since it is so likely to be randomly misleading...
>>
>> On Thu, Apr 13, 2023 at 1:15 PM Fernando Gouvea <fqgo...@colby.edu> 
>> wrote:
>>
>>> I must be missing something here...
>>>
>>> sage: g(x)=x^10/(1-x)^11
>>> sage: plot(g(x),(0,0.9))
>>>
>>> sage: g(0.7)
>>> 15945.8104850773 <(810)%20485-0773>
>>>
>>> What's wrong?
>>>
>>> Fernando
>>>
>>> -- 
>>> =============================================================
>>> Fernando Q. Gouvea         http://www.colby.edu/~fqgouvea
>>> Carter Professor of Mathematics
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>> =============================================================
>> Fernando Q. Gouvea         http://www.colby.edu/~fqgouvea
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>> Dept. of Mathematics
>> Colby College              
>> 5836 Mayflower Hill        
>> Waterville, ME 04901       
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>
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> -- 
> =============================================================
> Fernando Q. Gouvea         http://www.colby.edu/~fqgouvea
> Carter Professor of Mathematics
> Dept. of Mathematics
> Colby College              
> 5836 Mayflower Hill        
> Waterville, ME 04901       
>
> Flagrant breaches of good breeding, like singing in the streets
> or any other gross misconduct, are easily apparent and do not
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