42 questions linked to/from Performance tuning in Mathematica?
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### Understanding Mathematica: How to write fast code? [duplicate]

I'm relatively new to Mathematica but have done a few projects using it so I'm quite comfortable with the syntax and the basic functions available. Since I've had programming experience in the past I ...
65 views

### Automatic Cuda/CPU code; Fast programme run [duplicate]

I have developed my thesis codes by means of Mathematica software in a .nb file format. Despite using the available Parallel code capabilities and doing all the numerical integrations by means of ...
133k views

### Where can I find examples of good Mathematica programming practice?

I consider myself a pretty good Mathematica programmer, but I'm always looking out for ways to either improve my way of doing things in Mathematica, or to see if there's something nifty that I haven't ...
7k views

### Can one identify the design patterns of Mathematica?

... or are they unnecessary in such a high-level language? I've been thinking about programming style, coding standards and the like quite a bit lately, the result of my current work on a mixed .Net/...
3k views

### How to select minimal subsets?

I am a newbie, so please point me in the right direction if you feel this question has been answered somewhere else before. Here goes: Suppose I have a list like this: ...
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### How can I implement dynamic programming for a function with more than one argument?

Dynamic programming is a technique for avoiding the repeated computation of the same values in a recursive program. Each value computed is immediately stored. If the value is needed again, it is not ...
5k views

### Profiling from Mathematica

I've always wished I could do some profiling like you get in Wolfram Workbench, but directly from Mathematica, without using or having Workbench. If it is possible, how can I do it?
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### Find the slope between adjacent points in a list

I have a list of two dimensional points that are ordered by their x-coordinate. I would like to calculate the slope between all adjacent points. I'm familiar with the use of pure functions in Sort ...
1k views

### Finite difference method not converging to correct steady state or conserving area?

I am working with the following PDE, which is an advection-diffusion type equation. It describes the movement of a fluid-fluid interface inside an annulus of inner radius $R_1$ and outer $R_2$ under ...
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### Optimizing Mathematica Code

I have implemented the whole Baum-Welch Algorithm for training Hidden Markov Models as described in Rabiner's paper Here is my code that calculates the Forward Probabilities ...
352 views

### Combination of lists elementwise

I have two lists: x = Range[1, 10, 1] y = Range[2, 10, 2] How can I produce a list consisting of the following elements (first element is the x value, second ...
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### How to use AppendTo in a While loop? [closed]

I am trying to code a while loop that uses AppendTo to append the loop variable to an empty list. ...
387 views

### Delete sublists exceeding certain length

Given a list like list={{1},{2,3},{3,4,6},{6,7,8,5}}; I would like to very efficiently delete all sublists that are longer than a specific length, i.e.: ...
796 views

### Dynamic plot with synchronization of real time

I want to do a dynamic plot with synchronization of real time, that is, I have a function, f[t], that is a function of time (seconds), so I want to see the curve changing not so fast or not so slow, ...
2k views

### Is this the most effective and efficient programming style for prototyping (a ray tracer) in Mathematica?

I am trying out Mathematica as a prototyping tool. As an initial exercise I have put together a brute force ray tracer, with a view to using Mathematica's built in probability distribution functions ...
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### Dynamic Programming with delayed evaluation

By using dynamical programming, we can save intermediate steps for recursive relations, as in f[n_]:= f[n] = f[n-1] + f[n-2] However, this only stores ...
583 views

### Why won't this compiled function be inlined?

I've been trying to use Compile to get some code to execute more quickly, because I will need to call it millions of times. I've been using the ...
161 views

### Achieve performance that is competitive with numpy [duplicate]

What are the best practices to ameliorate time performance of Mathematica? As a practical example how we can decrease timing below? ...
252 views

### ParallelMemberQ

I tried to make a parallel version of MemberQ for use with a large list, but failed miserably in terms of performance. I used Partition to subdivide the list and ParallelMap to perform the MemberQ ...
480 views

### Color points in list plot based on whether they satisfy an equation

I wanted to create a set of points (a,b) such that a, b are both integers between -6 and 6. Then I want to color all points (a,b) that satisfy $|a-b|\ge2$ red, and all the remaining points blue. I ...
310 views

### EventHandler and Refresh rate

Based on the example of the Documentation of MousePosition, Properties and Relations, here is my test code using "MouseDragged" instead of "MouseClicked": ...
226 views

### Mathematica taking forever to compute

I want to simulate the fresnel diffraction through circular aperture.But mathematica is taking forever to calculate.Here is my code. ...
302 views

### professionalize/optimize my code that calls a function

I have the following construction, which defines a function that I subsequently call in a loop multiple times. I use this very often, but I have never looked into if there is a more professional way ...
354 views

### Sample of the random times at which the random walk crosses the boundary

I defined a security boundary for a random walk: ...
323 views

### Random Geometric Graphs, but fast

I am optimising the random geometric graph generation ideas in this post. I need to generate a large number of random geometric graphs with probabilistic connectivity (soft random geometric graphs), ...
559 views

### Understanding execution time in nested loops

I have the following simple code ...
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### A box structure with a depth exceeding the maximum allowed depth was encountered

I am trying to perform the task in Mark McClure's article Parametric L-Systems and borderline fractals. I have copied his opening code on the first three pages: ...
606 views

### Collatz Tool Box — any speed ups possible?

I have created a tool box for experimenting with the Collatz conjecture. Info here: Wolfram MathWorld and here: Wikipedia The patterns I have found allow us to make the conjecture jump through some ...
689 views

### How to estimate the running time of a programme on mathematica [closed]

I am solving a system of 6 linear equations containing six unknowns using mathematica. It is taking too much time and still running after 3 hours. can I estimate the approximate running time? Is there ...
557 views

### Understanding performance: graph connected components

I need to analyze directed graphs with 10M edges, 1M vertices, and 300K strongly connected components, so that the largest one contains 400K vertices. I read some explanations of Leonid Shifrin here, ...
246 views

### How should I go about writing more functional and list based code? [duplicate]

I've heard that Mathematica is usually faster when the code is list-based and/or uses a functional paradigm. I'm still working on getting the hang of this; there are a lot of ...
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### How can I improve performance of my simulation code?

1) Generate nNsamples from beta distribution (a, b) and the parameter of wighted c ...
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### Solve` Performance Tuning

I'm facing a Problem in Mathematica, where I have to solve a large number of equations generated by an AppendTo. ...
102 views

I want to step-monitor at each time step of a spatio-temporal NDSolve (using the finite element method) the maximum bending of the function sampled over the curent mesh. For this I first need access ...
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### Code optimizations with functions inside Module

I wrote a small code by using functions inside Module: ...
247 views

### Using Table[ ] vs using Do[Append [ ] ] [duplicate]

Is it generally better/faster to use the Table function over using Do[Append []]? For example, I have this piece of code: <...
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### Performance tuning with memoisation, compilation and vectorization - further possibilities?

In order to tune the performance of noticeably slow code of mine, I had a look at many different excellent posts on this topic here on M.SE, e.g. here to name the most interesting one. Now I ask ...
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### Compilation without MainEvaluate

I'm trying to avoid MainEvaluate in CompiledFunction. I've tried below but I couldn't get rid of it. I'd appreciate any help!! Here f1 and f2 will be rank 1 list with real type. ...
92 views

### How to make reading from long lists faster?

Background I am using Mathematica to solve a traveling-salesman-like problem. I implemented two different algorithms that are able to solve this type of problem and both algorithms yield the same ...
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### Mathematica using all available cores, but not speeding up calculation as much as expected

This is a follow-up question to my previously posted question on how to get Mathematica to use all available cores to do a parallel calculation. I resolved this by rewriting the code in terms of a <...