Questions tagged [program-optimization]

Questions about how to optimise a program's performance, both manually and automatically, e.g. in compilers.

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14 views

0/1 Knapsack in bottom up approach [closed]

I've tried the Recursive, Memoization and DP-Top-Down approach of Knapsack problem. But not able to restructure the code for DP-Bottom-Up approach. Below is my code, its only working for fewer inputs. ...
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38 views

How to best calculate the best possible path with weights

Given a set of nodes, with connections in certain directions (see image), what is the most coins you can collect between the first and last given node. Not all rooms have coins, and we want to output ...
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Updating a dynamic web page

I am creating a dynamic web page that needs to check for updates every 30 or so seconds, at most. each call to get the data needed is async, taking ~300 ms. with over 300 elements on the page that ...
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Is this a valid heuristic for Dots and Boxes to reduce the branching factor of the search tree?

I am implementing an AI based on the MiniMax algorithm that plays the game Dots and Boxes. I would like to reduce the branching factor of the search tree, by introducing a heuristic rule that limits ...
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43 views

Rectangle Packing with Constraints

I am aware that the general rectangle packing problem is NP-hard. I am trying to form an estimate for a version of the problem with constraints. Consider fitting rectangles of smaller size into a ...
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29 views

Compiler optimization which does an SMT-like optimization in software?

Say I had two functions called one after the other: ...
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1answer
42 views

Change the structure from 3SAT to 1in3 3SAT

There is a variable set V = {x1,x2,x3} and clause set C1={x1,x2,-x3} C2={x1,-x1,-x2} C3={-x1,-x2,x3} C4={x2,x3,-x3}. For this structure, no matter each variable is positive or negative, the clause can ...
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2answers
171 views

Big-O Notation and Calculus?

I was wondering if there are any calculus relationships implicit in Big-O notation. For example, an algorithm linear according to Big-O notation reduces the size of the problem by a constant amount ...
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80 views

Tree Optimization, Combinatorics, algorithm [closed]

My Partners and me, we are trying to optimize frequency process... I used Java to show our Problem, but the question is about algorithm NOT about Java implementation. Although implementations in java ...
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1answer
218 views

Autocorrect algorithm - How to implement a decent “apostrophe & elision” feature?

shorter version of the original question (as requests in comments) What is the algorithm to handle missing apostrophe as it is done in auto-correct feature of Android virtual keyboard? (If it helps /...
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35 views

Order of Traversal in Bidirectional Dataflow Analysis

Does order of traversing CFG matter in solving bidirectional dataflow problems, from a performance perspective?
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1answer
80 views

Any CPUs using value prediction, dynamic instruction reuse?

There is a lot of research about techniques that try to reuse the previous result of an instruction, either memory loads or arithmetic, such as dynamic instruction reuse, value prediction, based on ...
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1answer
62 views

Optimize sorting matrix entries by row and column

I am writing a routine to store an $M$-by-$N$ sparse matrix in a balanced binary tree. The insertion routine calls a comparison function to determine where a new matrix entry $(i,j)$ should be ...
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1answer
60 views

Is there an algorithm that can find a solution that solves the most number of equations in a linear system of equations?

My apologies if this question makes no sense. I am trying to find an algorithm that can solve a linear system of equations. Unlike most problems like this, this algorithm does not need to find a ...
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1answer
172 views

Is the spigot algorithm for $\pi$ useful for computing all the digits of $\pi$?

I'm asking the question here because it's not a purely mathematical question and the answer also depends on how computers work. I think that according to the Wikipedia article Bailey–Borwein–Plouffe ...
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12answers
9k views

Data structure or algorithm for quickly finding differences between strings

I have an array of 100,000 strings, all of length $k$. I want to compare each string to every other string to see if any two strings differ by 1 character. Right now, as I add each string to the ...
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2answers
400 views

Calculate the number of trailing zeros in equation f(n) = f(n-1) * f(n-2) where f(0) and f(1) are any given arbitary numbers

This question is doable if you can calculate the number by multiplying f(n-1) and f(n-2). Is it possible to do this question if we entirely want to skip ...
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43 views

Symbolic Math Systems As Speculative Optimization For Numerical Software?

Has there been published work on hiding symbolic math within numeric software, partitioning parallel processes between speculative symbolic optimization search and numeric evaluations? Real world ...
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1answer
194 views

How to avoid permutations in the n-Queens problem?

EDIT: if you are not familiar with the problem and the solution, it's nicely explained here. I have solved the n-Queens problem as an exercise using backtracking (recursion), but the problem I have ...
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3answers
69 views

Automatic softcore configuration based on intermediate representation (IR) compiler output

When compiling a piece of software (with LLVM for exmple), you first transform your code into some kind of intermediate representation (IR code). This IR code needs to be converted to your target ...
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1answer
213 views

Is there a poly-time algorithm for expanding out polynomials

so I've been looking around and haven't seen this before. Basically I'm working with a problem in which I need to expand/FOIL out. Something in the form of $$ z = (x+y)(x-y) \implies x^2+xy-xy+y^2 $$ ...
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22 views

Non-optimal program, bad choice of language or Low-speed system?

To check some results of an article, I wrote the proposed algorithm from the Coding articles. In the article, some results from the algorithm were obtained. Unfortunately, the performance of my ...
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206 views

Why is sequential search of ordered list slower than search of unordered one

I have got assignment to implement set class with linked list, so I first made it with unordered list and time needed to insert million integers is bit less than hour. Then I thought I can get it to ...
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2answers
619 views

What property of cons allows elimination of tail recursion modulo cons?

I'm familiar with the idea of basic tail recursion elimination, where functions that return the direct result of a call to themselves can be rewritten as iterative loops. ...
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4answers
128 views

Can loops like this one be algorithmically transformed into multiplication

Are there known techniques for converting a loop like the following to an if and a multiplication? ...
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73 views

Lazy evaluation on slow Boolean functions (optimization)

Short-circuit evaluation is a straight forward subject for lazy evaluation on Boolean expressions, I noted that two factors could be useful in ordering Boolean functions to improve run-time. But this ...
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1answer
5k views

How do I calculate the speedup properly?

I am trying to calculate the speedup of this, but I am getting the wrong answer: Assuming that we have a program where we have two execution phases. One phase takes 1 time unit to execute and can ...
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1answer
614 views

Why is it so difficult to eliminate dead loops?

I recently came across an issue where my compiler was not able to eliminate some "obviously" dead code - it was a function that returned nothing, with no side effects, and a cursory analysis of the ...
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4k views

Constant folding vs. Constant propogation

What is the difference between constant folding and constant propogation? They both seem to do the same thing, instead of saving constants into stack or evaluating a full arithmetic expression, they ...
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2answers
227 views

Is writing a compiler for a compact language easier?

I am contemplating the project of writing a compiler. I am wondering if, aside from the availability of easy google results, it is easier to write a compiler for a more explicit/verbose language such ...
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1answer
101 views

What formal representation is commonly used to describe compiler optimizations?

I have devised a compiler optimization that works on any structured language that has arrays assignments array[index] = value and counted loops ...
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27 views

Program Transformation to Disintermediate Isomorphic Representation Transforms

Given two representations of the same abstract data type, any optimal program that incorporates one representation has a corresponding optimal program that incorporates the other. What is the field ...
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2answers
3k views

Why is static-single assignment preferred over continuation passing style in many industry-used compilers?

According to the Wikipedia page on static-single assignment (SSA), SSA is used by large and well-known projects such as LLVM, GCC, MSVC, Mono, Dalvik, SpiderMonkey, and V8 while the page on projects ...
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1answer
375 views

Is it possible to submit every March Madness bracket?

A few years ago Warren Buffett started offering $1 billion to anyone who could correctly predict the winner of every game in the NCAA men's basketball tournament. A 64 team (we won't count the first ...
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3answers
433 views

Match dictionary to misspelled word, corner cases

I'm trying to think of corner-cases where I can skip having to linear-search through my dictionary in my problem; For a given word w1, find all matches with the least editing distance from it in the ...
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1answer
375 views

Identify similar functions

I was wondering if there is any technique in order to recognize similar functions behaviour. In particular, suppose that I implement two functions $f$ and $g$ in a certain programming language $P$ and ...
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1k views

How to use Clarke and Wright saving algorithm to afford heterogeneous fleet?

I want to solve Heterogeneous fleet in vehicle routing problem using the Clarke and Wright saving algorithm. After reading many literature I found two options: Explicit and early assignment for the ...
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595 views

generating pi using Machin like formula

Back in 2002, using this arctan formula for pi discoverd by Stoemer: $$ \pi = 176 \arctan(1/57) + 28 \arctan(1/239) - 48 \arctan(1/682) \\ + 96 \arctan(1/12943)$$ and I assume using this ...
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1answer
624 views

Can you solve 3D Tic Tac Toe with Minimax?

I have implemented a 3d Tic Tac Toe game with AI, where the computer is unbeatable. The only thing is that the board looks like this: _ _ _ _ _ _ _ _ rather ...
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1answer
284 views

Reference request: optimizing procedures on lists in dynamic languages by performing safety checks in advance

For my science fair project, I implemented an optimization to Python's sort routine. The idea is to move the safety checks that have to be carried out during each comparison, e.g. type checks and ...
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1answer
804 views

Understanding Amdahl's Law calculation

I have a homework problem: Calculate the overall speedup of a system that spends 40% of its time in calculations with a processor upgrade that provides for 100% greater throughput. Which is a pretty ...
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1answer
443 views

When is it useful to split critical edges?

Some compilers have utility functions that split critical edges in the control flow graph. I assume that this is not done as an optimization in itself, but rather to simplify other analyses and ...
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2answers
1k views

Best improvements to do to the DPLL SAT algorithm

As part of a college class, I'm asked to improve the performance of a basic DPLL sat solver. I'm already provided a basic, slow working version (essentially the DPLL algorithm; furthermore, to select ...
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52 views

Is there research into associative/commutative optimizations?

While playing around with optimization sets in LLVM, it occurs to me that the order in which optimizations are run matters greatly since, in general, A(B(src)) is ...
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2answers
255 views

is the problem of parallelising any program, NP-complete?

Consider a program written in a common language such as C. Assume that it does not have any explicit parallel constructs. Then, once it is compiled to an executable program, it will be run serially, ...
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436 views

Data Flow Analysis with exceptions

Data flow analysis work over a control flow graph. When a language under consideration supports exceptions, control flow graph can explode. What are the standard techniques for dealing with this ...
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2answers
94 views

Is there a fundamental CS problem in ORMs that leads to N+1?

Many of us are familiar with N+1 problem when working with database queries. The problem was known before ORMs (Object-relational mapping frameworks) came around, but it seems that ORMs exacerbated it....
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97 views

Functional programming with branches that have no order?

I was wondering if there is any programming style in which the outcome does not depend on the order of statements or groups of statements such as guards. Vaguely, I imagine this would leave room for ...
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126 views

minimizing computations for evaluating two polynomial simultaneously

I want to evaluate two polynomials $f$ and $g$ simultaneously, on the same input (in a computer program). These polynomial have only coefficients $0, 1, a , b$ and their degree is less than 700. I ...
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1answer
966 views

Optimizing NFL draft picks

I have a little problem I have been trying to solve for a hobby after a friend got me interested in fantasy football: given a list of players, positions for those players, projected points, salary, ...