It is time to integrate ChatGPT to SymPy! Elimboto
On Mon, Jul 17, 2023 at 6:19 PM Aaron Meurer <asmeu...@gmail.com> wrote: > I'm hopeful that this will. It seems to automatically go for SymPy > whenever faced with a math problem, or at least one that uses symbolic math > (it also uses NumPy when it can). The only downside is that the code > interpreter hides the code by default, so people won't be able to see that > it is using SymPy unless they click the button to show the code that > ChatGPT generated. It might end up that a lot of people end up using SymPy > with it but most of them never actually realize it. > > Aaron Meurer > > On Mon, Jul 17, 2023 at 1:56 AM Francesco Bonazzi <franz.bona...@gmail.com> > wrote: > >> Nice. Are there any chances that ChatGPT may add visibility to SymPy? I >> feel like a lot of people who could be potential users of SymPy don't know >> of SymPy's existence. >> >> On Monday, July 10, 2023 at 4:35:00 p.m. UTC+2 Aaron Meurer wrote: >> >>> Interesting update on this. I asked ChatGPT with code interpreter the >>> exact same query. It automatically generated SymPy code and ran it to get >>> the correct answer >>> https://chat.openai.com/share/5be9ab93-135f-4a47-a36a-a09979e93954 >>> >>> Aaron Meurer >>> >>> On Wed, Dec 14, 2022 at 4:45 PM Aaron Meurer <asme...@gmail.com> wrote: >>> >>>> I've seen many examples on Twitter and elsewhere of chatgpt doing >>>> terribly on actual mathematics. I instead asked it to "Find the extreme >>>> values of the function x^3 + 5x^2 + 3x - 9". It got the first part with the >>>> derivative and the quadratic equation correct, but then did faulty >>>> arithmetic when plugging the values back into the expression (the correct >>>> values are 0 and -256/27). It makes a sign error and also gets the addition >>>> wrong even with the wrong sign. >>>> >>>> My hope is that tools like SymPy can be used as oracles for tools like >>>> GPT to help them verify their mathematics. Obviously in this case you don't >>>> need SymPy to just verify arithmetic, but I've also seen it do just as >>>> poorly on symbolic algebra problems. >>>> >>>> I've also pasted the full log below: >>>> >>>> [image: Screen Shot 2022-12-14 at 3.41.32 PM.png] >>>> [image: Screen Shot 2022-12-14 at 3.41.42 PM.png] >>>> >>>> To find the extreme values of a function, we need to find the critical >>>> points of the function, which are the points at which the derivative of the >>>> function is equal to 0 or does not exist. >>>> >>>> The derivative of the function x^3 + 5x^2 + 3x - 9 is 3x^2 + 10x + 3. >>>> To find the critical points, we need to solve the equation 3x^2 + 10x + 3 = >>>> 0. >>>> >>>> To solve this equation, we can use the quadratic formula: >>>> >>>> x = (-b ± √(b^2 - 4ac)) / 2a >>>> >>>> where a, b, and c are the coefficients of the quadratic equation ax^2 + >>>> bx + c = 0. In our case, a = 3, b = 10, and c = 3, so the formula becomes: >>>> >>>> x = (-10 ± √(10^2 - 4 * 3 * 3)) / 2 * 3 >>>> >>>> = (-10 ± √(100 - 36)) / 6 >>>> >>>> = (-10 ± √(64)) / 6 >>>> >>>> = (-10 ± 8) / 6 >>>> >>>> = (-18, -2) / 6 >>>> >>>> = (-3, -1/3) >>>> >>>> These are the critical points of the function x^3 + 5x^2 + 3x - 9. >>>> >>>> To find the extreme values of the function, we need to evaluate the >>>> function at these critical points and at any points where the derivative >>>> does not exist. In this case, the derivative exists for all values of x, so >>>> we only need to evaluate the function at the critical points. >>>> >>>> If we plug in the critical points into the function, we get: >>>> >>>> x^3 + 5x^2 + 3x - 9 = (-3)^3 + 5(-3)^2 + 3(-3) - 9 = -27 + 45 + 9 - 9 = >>>> 8 >>>> >>>> and >>>> >>>> x^3 + 5x^2 + 3x - 9 = (-1/3)^3 + 5(-1/3)^2 + 3(-1/3) - 9 = -1/27 + 5/9 >>>> + 1 - 9 = 5/9 - 1/27 - 8/9 = -64/27 >>>> >>>> The extreme values of the function x^3 + 5x^2 + 3x - 9 are 8 and -64/27. >>>> >>>> On Wed, Dec 14, 2022 at 3:35 PM gu...@uwosh.edu <gu...@uwosh.edu> >>>> wrote: >>>> >>>>> Just for some additional perspective. I have also tried this on some >>>>> general chemistry word problems. In general, I see it getting basic one >>>>> logical step processes correct (e.g. a single step dilution or grams -> >>>>> moles). Things with multiple steps or requiring understanding the physical >>>>> situation it does poorly on. That said, I think it does better than some >>>>> of >>>>> my weakest students. It does not seem to be able to use significant >>>>> figures >>>>> in computations (also a problem for my weaker students). >>>>> >>>>> It seems to be improving rapidly. If it can get to reliably >>>>> differentiating between correct (workable) solutions and erroneous ones, >>>>> it >>>>> will be more useful to most people (including my students) than searches >>>>> of >>>>> the internet or a cheating sight such as Chegg. >>>>> >>>>> My two cents worth of opinion. >>>>> >>>>> Jonathan >>>>> >>>>> On Wednesday, December 14, 2022 at 4:28:05 PM UTC-6 Francesco Bonazzi >>>>> wrote: >>>>> >>>>>> [image: chatgpt.sympy.matrix_diag.png] >>>>>> >>>>>> On Wednesday, December 14, 2022 at 11:26:37 p.m. UTC+1 Francesco >>>>>> Bonazzi wrote: >>>>>> >>>>>>> Not everything is perfect... ChatGPT misses the *convert_to( ... ) >>>>>>> *function >>>>>>> in *sympy.physics.units*, furthermore, the given code does not work: >>>>>>> >>>>>>> [image: chatgpt.sympy.unit_conv.png] >>>>>>> >>>>>>> On Wednesday, December 14, 2022 at 11:24:29 p.m. UTC+1 Francesco >>>>>>> Bonazzi wrote: >>>>>>> >>>>>>>> [image: chatgpt.sympy.logical_inference.png] >>>>>>>> >>>>>>>> On Wednesday, December 14, 2022 at 11:23:43 p.m. UTC+1 Francesco >>>>>>>> Bonazzi wrote: >>>>>>>> >>>>>>>>> https://en.wikipedia.org/wiki/ChatGPT >>>>>>>>> >>>>>>>>> Some tested examples attached as pictures to this post. Quite >>>>>>>>> impressive... >>>>>>>>> >>>>>>>>> -- >>>>> You received this message because you are subscribed to the Google >>>>> Groups "sympy" group. >>>>> To unsubscribe from this group and stop receiving emails from it, send >>>>> an email to sympy+un...@googlegroups.com. >>>>> To view this discussion on the web visit >>>>> https://groups.google.com/d/msgid/sympy/6af62b19-1fb0-4681-9fd2-5e5fccfcb46fn%40googlegroups.com >>>>> <https://groups.google.com/d/msgid/sympy/6af62b19-1fb0-4681-9fd2-5e5fccfcb46fn%40googlegroups.com?utm_medium=email&utm_source=footer> >>>>> . >>>>> >>>> -- >> You received this message because you are subscribed to the Google Groups >> "sympy" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to sympy+unsubscr...@googlegroups.com. >> To view this discussion on the web visit >> https://groups.google.com/d/msgid/sympy/9d39ff2f-4e99-44da-ab47-0d6100928393n%40googlegroups.com >> <https://groups.google.com/d/msgid/sympy/9d39ff2f-4e99-44da-ab47-0d6100928393n%40googlegroups.com?utm_medium=email&utm_source=footer> >> . >> > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sympy+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sympy/CAKgW%3D6KDhy%3Di3yjOR%3DHHN6vuEMXS5PP2FGEifyu3M4e-y2_2QQ%40mail.gmail.com > <https://groups.google.com/d/msgid/sympy/CAKgW%3D6KDhy%3Di3yjOR%3DHHN6vuEMXS5PP2FGEifyu3M4e-y2_2QQ%40mail.gmail.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "sympy" group. 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