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Factorials-comp
(version: 0)
Comparing performance of:
Recursive vs Iterative vs Array Reduction vs Memoization
Created:
8 years ago
by:
Guest
Jump to the latest result
Script Preparation code:
function recfac(n){ if(n<0)return; return !n||n*recfac(n-1); } function itefac(n){ if(n<0)return; let res=1; while(n>1)(res*=n,n-=1); return res; } function arrfac(n){ if(n<0)return; return Array(n).fill().map((e,i)=>i+1).reduce((a,b)=>a*b); } let mem=[]; function memfac(n){ if(n<0)return; return n<2?1:mem[n]||(mem[n]=n*memfac(n-1)); }
Tests:
Recursive
for(let i=1;i<71;i++)recfac(i);
Iterative
for(let i=1;i<71;i++)itefac(i);
Array Reduction
for(let i=1;i<71;i++)arrfac(i);
Memoization
for(let i=1;i<71;i++)memfac(i);
Rendered benchmark preparation results:
Suite status:
<idle, ready to run>
Run tests (4)
Previous results
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Test case name
Result
Recursive
Iterative
Array Reduction
Memoization
Fastest:
N/A
Slowest:
N/A
Latest run results:
No previous run results
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Autogenerated LLM Summary
(model
llama3.2:3b
, generated one year ago):
**Benchmark Overview** MeasureThat.net is a platform that allows users to create and run JavaScript microbenchmarks. The provided JSON represents a benchmark definition for calculating factorials using four different approaches: recursive, iterative, array reduction, and memoization. **Approaches Compared** 1. **Recursive**: This approach uses a recursive function to calculate the factorial of a given number. The function calls itself with decreasing values until it reaches 0 or 1. 2. **Iterative**: This approach uses a loop to calculate the factorial of a given number. It iterates from 1 to n, multiplying the result by each number in the range. 3. **Array Reduction**: This approach uses the `reduce()` method of an array to calculate the factorial of a given number. The array is filled with numbers from 1 to n, and then reduced to a single value by multiplying all elements together. 4. **Memoization**: This approach uses an object (`mem`) to store previously calculated factorials for memoized values. If a factorial has already been calculated, it returns the stored result instead of recalculating it. **Pros and Cons** * **Recursive**: + Pros: Simple to implement, easy to understand. + Cons: Can lead to stack overflows for large inputs due to recursive function calls. * **Iterative**: + Pros: More efficient than recursive approach, avoids potential stack overflow issues. + Cons: May require more memory and processing power due to the loop. * **Array Reduction**: + Pros: Efficient use of array operations, easy to implement. + Cons: Requires a decent amount of memory for the temporary array, and may not perform well for very large inputs. * **Memoization**: + Pros: Can be very efficient by avoiding repeated calculations, especially for memoized values. + Cons: May require additional memory for the object storing memoized results. **Library Used (if applicable)** In this case, no libraries are used. However, if you were to use a library like `lodash`, you might use its `reduce()` method to implement the Array Reduction approach. **Special JavaScript Features or Syntax** None mentioned in this benchmark. **Other Alternatives** 1. **Dynamic Programming**: Another approach to calculating factorials, which can be more efficient than recursive approaches by storing intermediate results in an array. 2. **Bit Manipulation**: A technique for calculating large numbers efficiently using bit manipulation, which can be used to calculate factorials without requiring a lot of memory. **Benchmark Preparation Code** The benchmark preparation code is provided as JavaScript functions (`recfac`, `itefac`, `arrfac`, and `memfac`) that implement the different approaches. The `memfac` function uses an object (`mem`) to store memoized results, which are used to improve performance for repeated calculations. **Test Case Preparation Code** The test case preparation code is provided as a loop that runs each benchmark definition multiple times (in this case, 71 iterations) and measures the execution time for each approach.
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