As one point of comparison, SymPy is comically slow compared to Sage. This is mo... (2024)

As one point of comparison, SymPy is comically slow compared to Sage. This is mostly because SymPy is purely Python; Sage on the other hand uses its own derivative of GiNaC [1], Pynac [2], for its internal symbolic expression representation, and then multiple external libraries for non-trivial operations. Symbolic transformations are mostly Maxima [3], for example. Sage literally converts expressions to strings, pipes them through a Maxima process, and then parses the result back. This is still much faster than the pure Python SymPy.

There is an effort to speed up SymPy core, SymEngine [4], but it's been in development for years now, and still isn't integrated into SymPy. Not sure why.

Case in point: 'expand("(2 + 3 * x + 4 * x * y)^60")' takes 5 seconds with SymPy; Sage (Pynac) does the same in 0.02 seconds.

[1] https://www.ginac.de/

[2] http://pynac.org/

[3] http://maxima.sourceforge.net/

[4] https://github.com/symengine/symengine

As one point of comparison, SymPy is comically slow compared to Sage. This is mo... (2024)

FAQs

As one point of comparison, SymPy is comically slow compared to Sage. This is mo...? ›

As one point of comparison, SymPy is comically slow compared to Sage. This is mostly because SymPy is purely Python; Sage on the other hand uses its own derivative of GiNaC [1], Pynac [2], for its internal symbolic expression representation, and then multiple external libraries for non-trivial operations.

What is the difference between Python and Sage? ›

Python follows a more conventional syntax with simple and readable code, making it easier for beginners to learn and understand. On the other hand, SageMath is built on top of Python but uses its own syntax, which includes additional mathematical functions and operators.

Is SymPy better than Mathematica? ›

The results were Mathematica failed to solve 1,523 problems, Sympy failed to solve 48,529. So it has some catching up to do. SymPy is open source, mathematica is not. Additionally, SageMath (which depends on SymPy) is the more comparable product (and is open source).

What is the difference between SymPy and NumPy? ›

NumPy operates numerically, while SymPy works with symbolic expressions. However, it is possible to export a SymPy expression to a NumPy array using the lambdify function. Likewise, SciPy offers several functions similar to SymPy, such as equation solving, integration and differentiation.

Why use SymPy? ›

The Power of Symbolic Computation

The real power of a symbolic computation system such as SymPy is the ability to do all sorts of computations symbolically. SymPy can simplify expressions, compute derivatives, integrals, and limits, solve equations, work with matrices, and much, much more, and do it all symbolically.

Does SageMath use Sympy? ›

I like sagemath. They have integration with sympy, and they also have many features making python simpler when you want to do mathematical things. There's latex display feature when in notebook. It looks good, can even have symbolical matrices and display them as you would've expected.

Why is Python so much better? ›

Python is a programming language that has relatively simple syntax. This makes it an ideal choice for beginners who are just starting out in the field of programming. Python is also a very versatile language, which means that you can use i for a wide variety of tasks and in different industries.

Is SymPy slow? ›

As one point of comparison, SymPy is comically slow compared to Sage.

What is faster than SymPy? ›

Try symengine (https://github.com/symengine), which is much faster than sympy but less functionalities (only basic functions of sympy). It also has python wrappers (https://github.com/symengine/symengine.py).

Is SymPy a library or package? ›

SymPy is an open-source Python library for symbolic computation. It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live or SymPy Gamma.

Where is SymPy used? ›

Sympy is used to generate reference values for unit tests and some code generation. Quantum Programming in Python: Quantum 1D Simple Harmonic Oscillator and Quantum Mapping Gate.

How to differentiate using SymPy? ›

With the help of sympy. Derivative() method, we can create an unevaluated derivative of a SymPy expression. It has the same syntax as diff() method. To evaluate an unevaluated derivative, use the doit() method.

Who made SymPy? ›

Brief History. SymPy was started by Ondřej Čertík in 2005, he wrote some code during the summer, then he wrote some more code during summer 2006. In February 2007, Fabian Pedregosa joined the project and helped fix many things, contributed documentation, and made it alive again.

What is Sage in Python? ›

Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface.

Can I use Python in Sage? ›

You can use Sage in several ways. Scripts: by writing stand-alone Python scripts that use the Sage library (see Standalone Python/Sage Scripts).

What programming language is Sage? ›

The principal programming languages of Sage are Python and Cython. Python is the primary programming and interfacing language, while Cython is the primary language for optimizing critical functionalities and interfacing with C libraries and C extensions for Python.

Is there anything better than Python? ›

JavaScript. JavaScript is a high-level and dynamic programming language that is famous for its capabilities that can be used for a variety of tasks. This is another Python alternative because it has a straightforward syntax and is considered among simple coding programs like Python.

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