http://www.mapleprimes.com/posts/35637-Sparse-Polynomial-Arithmetic-3-Multiplication en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Thu, 11 Jun 2026 05:19:11 GMT Thu, 11 Jun 2026 05:19:11 GMT The latest comments added to the Post, Sparse Polynomial Arithmetic 3: Multiplication and Division http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/posts/35637-Sparse-Polynomial-Arithmetic-3-Multiplication http://www.mapleprimes.com/posts/35637-Sparse-Polynomial-Arithmetic-3-Multiplication?ref=Feed:MaplePrimes:Sparse Polynomial Arithmetic 3: Multiplication and Division:Comments#comment44541 I thought I would update this post with a few multiplication benchmarks. I used an Intel Core i7 920 2.66GHz with 6GB of ram running 64-bit Linux. Here is the Maple code for three problems tested below: <pre> # 1771 x 1771 = 12341 terms restart: f := expand((1+x+y+z)^20): g := f+1: time[real](expand(f*g)); # 5456 x 5456 = 39711 terms restart: f := expand((1+x+y+z)^30): g := f+1: time[real](expand(f*g)); # 10626 x 10626 = 135751 terms restart: f := expand((1+x+y+z+t)^20): g := f+1: time[real](expand(f*g)); </pre> And here are the benchmark results I have collected so far: <pre> Fermat 3.9.9i 1.100 8.490 106.970 Pari 2.3.3 0.444 3.961 39.566 Singular 3-1-0 0.570 6.450 30.680 Magma V2.16-6 0.300 3.790 13.000 Trip 1.0.0 0.047 0.368 1.630 Maple 13 1.523 26.622 95.176 Maple 14 0.029 0.180 0.733 </pre> The latest comments added to the Post, Sparse Polynomial Arithmetic 3: Multiplication and Division 44541 Mon, 15 Mar 2010 14:42:43 Z roman_pearce roman_pearce