Aspects

Faster slower integer
Float integer unable
Addition comparison single
Longer pen paper
Cycles fewer common
Hardware slower correct
Modern fast cpus
Precedence higher presedence
Harder remainder bitch
Expensive one sum
Constant expensive compiler
Complexity addition worse
Time line for-loop
Expensive costly cost
Others

Division

In mathematics, division (÷) is an arithmetic elementary operation.

Multiplication

Multiplication is the mathematical operation of scaling one number by another

Faster slower integer

Example |
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"Multiplication is from question Which is fast comparison: Convert.ToInt32(stringValue)==intValue or stringValue==intValue.ToString() |

"Integer multiplication is from question Fast Euclidean division in C "I picked c 1 1 8 for this example simply because it is exact in ieee-754 floating-point representation and typically multiplication is from question Fast way to "improve" the length of a unit length vector |

"According to stephen canon modern implementations favor taylor expansion over rational function approximation where division is from question Definitions of sqrt, sin, cos, pow etc. in cmath |

"Yes division is usually much from question Is divide slower than Multiply? "Is it possible that the division is six times from question Float Operations Performance C++ "The tostring should be from question Is it more efficient to compare ints and ints or strings and strings "But i wonder why is division actually from question Why is division more expensive than multiplication? "Division is from question Will the compiler optimize division into multiplication "Both works but division is generally from question Calculating prime numbers in python "Division algorithms are from question Is Multiplying the Inverse Better or Worse? "In all other cases division appears to be several times from question What has a better performance: multiplication or division? "Division is per se from question Why is float division slow? "I found out that integer division is much from question Optimizing Fixed-Point Sqrt "And division may be from question Do different operators have different amounts of cpu usage? "Because division is often much from question Java: convert float to double preserving decimal point precision "Division is about 10 times from question Efficient Multiply/Divide of two 128-bit Integers on x86 (no 64-bit) "Which one is faster is indeed a cpu-specific issue or at least how much faster is cpu specific yes division is typically seen as from question Is Multiplying the Inverse Better or Worse? |

"The compiler or the jit is likely to convert the first case to the second anyway since multiplication is from question Differences between mult and div operations on floating point numbers |

"On mobile arm cpus i would expect floating point division to be somewhere 10-100 from question Log2 not found in my math.h? |

"It s just as fast as going the opposite direction if not faster given that division from question Reverse factorial |

"If the latter yes floating point multiplication is from question A good way to do a fast divide in C++? |

"Division is inherently a much from question Floating point division vs floating point multiplication |

"But since division is pretty expensive i think that this is even from question Euler 11. There must be a better way than this "So division is always a bit from question Polynomial evaluation accuracy, multiplication versus division |

"I always thought a multiplication is computationally from question NumPy performance: uint8 vs. float and multiplication vs. division? |

"Multiplication from question Speed up Python Loop append |

"In many processors from question How do computers find modulus? "According to this author from question Most efficient way to calculate lexicographic index |

"Multiplication and division from question Convert string to a large integer? |

"As to why multiplication is from question Why does GCC use multiplication by a strange number in implementing integer division? "I used multiplication for both operations because multiplication is typically from question Rounding floats in processing.org "Multiplication is usually from question SIGABRT error for - https://www.codechef.com/problems/PRIME1 "For the division-to-multiplication case you are assuming that multiplication is from question Would C# compiler or Jitter optimize these kinds of arithmetic operations? "In usual programming practice one wouldn t bother and simply multiplying by the floating-point representation of 180 Ã¯ because multiplication is so much from question Should I combine multiplication and division steps when working with floating point values? "Multiplication is much from question What is fastest x86-64 assembly-language divide algorithm for huge numbers? "I would also suggest to replace terms like a l1 0.3e1 with as multiplication is from question How can I improve performance via a high-level approach when implementing long equations in C++ "This because 1 x is simpler than y x and multiplication is from question Calculating GFlops "Multiplication is from question Should I use multiplication or division? "Multiplication is from question What does clang's `-Ofast` option do in practical terms especially for any differences from gcc? "As hroptatyr mentioned the multiplication is quite fast and it s much from question How can I use bit shifting to replace integer division? "Multiplication is usually significantly from question Fast multiplication/division by 2 for floats and doubles (C/C++) "First of all multiplication is from question Is there a preferred way to order floating-point operands? "Similar to pmg s solution but still from question Find the "string length" of an int "Division is from question NumPy performance: uint8 vs. float and multiplication vs. division? "Division is about 20 from question Should I use multiplication or division? "Therefore i conclude that division is from question Unexpected apparent performance difference between integer multiplication and division "Multiplication is from question A good way to do a fast divide in C++? "Since you re resizing the window make sure to assign the w and h values not as numbers but as products or dynamic numbers multiplication is from question Alpha Blending in SDL resets after resizing window "Also addition is from question Performance Testing for Calculation-Heavy Programs "Multiplication is from question Is multiplication faster than float division? "On many processors integer multiplication is from question Efficient (cycles wise) algorithm to compute modulo 25? |

Float integer unable

Example |
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"Here is results of my bench mark division type time uint8 879.5ms uint16 885.284ms int 982.195ms float 654.654ms as well as floating point multiplication from question Why float division is faster than integer division in c++? |

"Float division is not much from question Why is float division slow? |

Addition comparison single

Example |
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"Since most processors can do an addition comparison or multiplication in a single cycle those are all counted as one flop;but division from question What is FLOP/s and is it a good measure of performance? |

"Here is such a rational class it could be easily extended to do from question How can I keep fraction formatting using JavaScript? |

Longer pen paper

Example |
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"How can multiplication function takes from question Slow matrix multiplication when using OpenCL enabled OpenCV |

"Division takes a lot from question Sort several arrays together and return the ranking number in the all-arrays combined score "Why does division take so much from question Multiply by 0.5 rather than divide by 2 |

Cycles fewer common

Example |
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"It is common knowledge that division takes from question Should I use multiplication or division for recurring floats? |

"It has to do with the fact that multiplication is itself done by means of binary shifts and additions - far from question How to use right shift to avoid operator division |

"Floating point multiplication usually takes from question Is multiplication faster than float division? |

Hardware slower correct

Example |
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"On many machines particularly those without hardware support for division division is a from question Calculating Reciprocals: n**(-1) or (1/n)? |

"You always need to know the magic number here 0xaaaaaaab and the correct operations after the multiplication shifts and or additions in most cases and both is different depending on the number you want to divide by and both take too much cpu time to calculate both on the fly that would be from question What's the fastest way to divide an integer by 3? |

Modern fast cpus

Example |
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"Can be fast or it can be awfully slow even if division is done entirely in hardware if it is done using a div instruction this instruction is about 3 to 4 times from question What's the fastest way to divide an integer by 3? |

"Division may be from question Fast 1/X division (reciprocal) |

"On modern processors from question Fast approximate float division |

Precedence higher presedence

Example |
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"So this is evaluated as note that this behavior is different from most programming languages where unary negation has from question A strange operation problem in SQL Server: -100/-100*10 = 0 "In bnf consider something akin to and oh-by-the-way you probably want to make an additional nonterminal layer to represent the fact that implicit multiplication-by-adjacency is normally considered to have from question Parsing implied versus explicit times operator |

"Division has higher precedence than subtraction;this subtraction operator occurs within the second brackets and so has a from question Complex calculation in JavaScript |

"Since multiplication is of from question Decimal and mathematical operations |

"In some of the academic literature implied multiplication is interpreted as having from question Which has higher precedence in C -multiplication or division? "Does multiplication has from question Multiplication vs Division in C "Multiplication has from question Macro usage in C? |

"Thus python should interpret this like 12 2 i.e 6 since precedence of multiplication is from question Operator precedence in Python -PEMDAS |

"This will be good idea to put factorial as additional case into primary as parentheses have higher order of precedence called from question Stroustrup's C++ Book exercise |

"It s an exponentation operator with a precedence from question What does character "^" do in Excel? |

"According to bodmas rule --- division come first from multiplication. same in java the precedence of is higher than so division from question What if the meaning of that expression if(x > y / z) |

"He line works because of integer division the line works because of modulo;the line works because of operator precedence multiplication from question Why does this loop work? |

"I read that multiplication has has from question Multiplication and division: weird output in c |

Harder remainder bitch

Example |
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"Multiplication is harder and division from question How do modern processors which are 64 bit usually handle 128 bit / 256 bit encryption? |

"Beware of this pitfall when using shifts additions and subtractions to perform multiplication operations;division from question Assembly 8086 - Implementing any multiplication and division without MUL and DIV instruction |

Expensive one sum

Example |
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"However in general one could expect that a division is a from question Conditional tests in primality by trial division "Division is one of a number of operations which as far as computational complexity theory is concerned are no from question What is the time complexity to divide two numbers? |

"In the code we calculate 1.0 sum .. because a division from question How do you turn probabilities that don't sum up to 1 into ones that do? |

Constant expensive compiler

Example |
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"It will be much slower i don t have benchmarks but i would guess at least an order of magnitude maybe more decimal will not benefit from any hardware acceleration and arithmetic on it will require relatively expensive multiplication division by powers of 10 which is far from question When should I use double instead of decimal? "Usually division is a lot from question What has a better performance: multiplication or division? |

"This solution has the disadvantage that if the other factor is not constant the compiler and you can t reasonably avoid the division int_max n to be done at runtime and division is from question Check for int overflow in C++ |

"Most optimizing c compilers optimize it out to a multiplication operation which is much from question Print decimal in 8086 emulator |

Complexity addition worse

Example |
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"If you think back to grade school you ll recall that multiplication was from question Why is multiplying cheaper than dividing? |

"Formally it means division cannot have a complexity from question Complexity of division "Division has from question Floating point division vs floating point multiplication |

"If you do it cleverly you only do addition not even multiplication;and division from question Why is Sieve of Eratosthenes more efficient than the simple "dumb" algorithm? |

Time line for-loop

Example |
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"In addition the for-loop itself is taking much from question Why is dividing giving similar times to multiplicating? |

"Following advise i received multiplication is from question Performance optimizing critical code in iOS app |

"I have heard division takes from question Java Optimizing arithmetic and Assignment Operators for large input |

Expensive costly cost

Example |
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"Yes mod is more from question Is MOD operation more CPU intensive than multiplication? |

"Knowing that a division is from question Speeding up the code using numpy |

"Division is always much from question Efficient Multiply/Divide of two 128-bit Integers on x86 (no 64-bit) "Division is much from question Trick to divide a constant (power of two) by an integer "Division is a lot from question Implementing matrix vector multiplication in assembly "Is division from question Is division more expensive than multiplication in C++? |

"Division is from question Is MOD operation more CPU intensive than multiplication? "The reason for doing so is to reduce hardware cost as division is from question Generating lookup table for arctan computation |

"Recently someone suggested to me that division is from question Benefits of multiplication rather than division |

"Multiplication is from question How to normalize a NumPy array to within a certain range? |

Others

Example |
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Division is inherently from question How can x86 bsr/bsf have fixed latency, not data dependent? Doesn't it loop over bits like the pseudocode shows? |

Easiest way is to simply recognize that division is from question Fast approximate float division |

On simple low-cost processors typically bitwise operations are substantially faster than division several times faster than multiplication from question What is the idea behind ^= 32, that converts lowercase letters to upper and vice versa? |

T is not very important as long as alpha is small otherwise you will run into some rather weird nyquist issues aliasing etc and if you are working on a processor where multiplication is from question Exponential Moving Average Sampled at Varying Times |

From what i read on the net multiplication is from question What do single-cycle multiplication and hardware division mean? |

In particular this means jit does not replace from question Why is if (variable1 % variable2 == 0) inefficient? |

Like multiplication and division modulo arithmetic has a higher precedence than addition from question JavaFX GridPane Program |

Note this multiplication was chosen over this because double multiplication is about 3.6x from question Proper/best type for storing latitude and longitude |

A division costs from question Efficiently using 1-D pyfftw on small slices of a 3-D numpy array |

Multiplication takes from question How to check if given number is divisible of 15 in fastest way? |

Let s assume that i have code like this as far as i know division from question Question about optimization of division code with type cast |

Division is from question JavaScript Math.round: Doesnt round object to 1 decimal On most processors division is from question Is divide slower than Multiply? Hardware integer division is always from question Fast Division and Modular operation for non two power numbers On some machines division is much from question Why am I getting errors using the Lambda function? The reason to do this is because even though there is an integer division instruction div idiv in the instruction set it s typically very slow several times from question How does the GCC implementation of modulo (%) work, and why does it not use the div instruction? I was always taught that division is from question JavaScript Performance - Divide or Multiply? / vs * Removing division operations by passing through the inverse into the shader is another useful tip as division is typically from question Optimization of HLSL shaders Division is generally on the order of 10x from question Is division more expensive than multiplication in C++? Integer division is about an order of magnitude from question Fast way to check if long integer is a cube (in Java) Your friend has a point a division actual division not just writing in c is from question 1,000,000,000 calculations per microsecond? |

Integer division is slower than floating point division but using floating point multiplication on integer causes two conversions;the conversions aren t too bad so in total the floating point multiplication from question 1,000,000,000 calculations per microsecond? |

It can get a bit more from question How does a 32bit computer work with large bit numbers? Ex. 512bit integers |

I know that most of us grew up with the idea that division is sloooooow and must be avoided;however division unlike multiplication from question Check if a spelled number is in a range in C++ |

The intuition is that division is a from question Fast lookup from floating point index into array |

Every now and then in code it comes up that i need to divide several numbers by the same value since multiplication from question If I need to divide several numbers by the same value, is it better that I calculate the inverse first? |

Note that for signed number the pencil and paper method for multiplication add and shift and division may not work properly;for example the correct method for signed multiplication from question Assembly imul and idiv |

Division and square roots for huge number of bits are not much from question Big O complexity of the basic arithmetic operations |

0 but most of the time n 10 seems enough and spare one division from question What's the best way to get the length of the decimal representation of an int in C++? |

Division though is an iterative process in logic the implementations you see on educational sites verilog vhdl are simply doing the same thing we did with log division in grade school but like multiplication it is from question Which is harder: a modern Casio calculator in Assembler or division of real numbers in Verilog? |

So multiplication from question Which is harder: a modern Casio calculator in Assembler or division of real numbers in Verilog? |

Division by 5.0 is from question How to use double to be more secure and precise? |

In follow-up to phuclv comment i checked the code generated by jit 1 the results are as follows for variable 5000 division by constant for variable variable because division always takes from question Why is if (variable1 % variable2 == 0) inefficient? |

Change the half to 0.5 and you should be golden for the math part also multiplication from question C++ printing a function's result? |

Iirc floating-point multiplication is from question Efficiency of floating point division and checking values beforehand if eq |

This can be a major clock-cycle saver since multiplication is often much from question Is shifting bits faster than multiplying and dividing in Java? .NET? As a rule of thumb multiplication is from question Reading assembly comparing multiplication vs division I wonder why everybody missed that multiplication is much from question How to check if an integer is a power of 3? Here s one idea which uses one multiplication and one shift so it ll be from question Optimizing Division by Unknown Denominator Without Using Division Operator From the performance side float multiplication is from question In a simple float operation, is there any difference between multiplication and division? In a 64 bit application this code will be a lot from question What's the fastest way to divide an integer by 3? I do not want to know when or if to use shift operators in my code i am interested in why multiplication is from question Differences in division and multiplication vs bit shifting The double_unit stuff is how random actually does it internally because multiplication is from question Using a random long to generate random doubles Even simpler and probably even from question Reverse factorial Floating point multiplication is from question Source code to round floating point number But the research i ve done so far all points to multiplication being from question Unexpected apparent performance difference between integer multiplication and division |

If the numbers are huge dividing x by b might be betterÃ¢ division is from question Computes the logarithm of a number x relative to a base b.n other words |

That is before you factor in the extra multiplication and extra cast;on older Âµarchs 32 bit integer division often has lower latency numbers listed than double division but older Âµarchs 32 bit integer division varied more division from question Stop double division before decimals (low precision, fast division; getting only the 'quotient') |

If a remains the same and b is changing say if your code is in a loop and your code s clear that a does not change between two iterations for instance because your code s a const variable then the original version can execute faster because multiplication is cheaper than division from question Reason for peculiar ordering of division and multiplication in C++ |

Usually simple operations like addition subtraction and multiplication from question How do I measure the FLOPS my C# app uses? |

Math.h defines m_log2e to the value of log e if you define _use_math_defines before inclusion of math.h even though usual approach is to do log n log 2 i would advise to use multiplication instead as division from question Log2 not found in my math.h? |

I am pretty sure it is not possible to compute polynomial division from question Best algorithm for series expansion of Rational function |

For division things are a little from question Big Integer arithmetic |

Well if it is a single calculation you wil hardly notice any difference but if you talk about millions of transaction then definitely division is from question What has a better performance: multiplication or division? |

For multiplication the technique described at is a reasonably easy thing to implement and is better than serial addition;division from question 64 bit arithmetic with 16 bit word length(store 64 bit number across 4 words) |

Or is there something about multiplication that is from question Calculating Reciprocals: n**(-1) or (1/n)? In fact if the intent is to divide by 22 10 or some other real value that isn t necessarily exactly representable in binary floating-point then half the times the multiplication is from question Should I use multiplication or division for recurring floats? |

The multiplication should perform somewhat from question Wrap value into range [min,max] without division If you are sure that a floating point multiplication is from question Rearranging an equation |

If multiplication are o n 2 this is from question Numeric division using BCD format |

Know that division is far from question Coding a physics simulation using iterative functions and time steps There are methods of division that are faster than basic long division but still they are from question Why is division more expensive than multiplication? |

When tried with only multiplication division try without sum assignment operations;edit as you can see multiplication from question Why is dividing giving similar times to multiplicating? |

Division isn t going to have a big performance impact in your application;floating-point division is generally especially slow so while floating-point multiplication from question Should I use multiplication or division? |

It is well known that from question Fast integer division in Java |

I haven t benchmarked any of this code but just by examining the code you can see that using integers division by 2 is from question Should I use multiplication or division? |

Obviously after the multiplication has overflowed the division isn t going to undo that overflow;because the multiplication from question Why is 24 * 60 * 60 * 1000 * 1000 divided by 24 * 60 * 60 * 1000 not equal to 1000 in Java? |

Both operations are done down at the floating point unit fpu level and even in the world of integral alus the division circuit is a far from question Why is float division slow? |

The cpu operation for float division is from question Why is multiplying cheaper than dividing? |