unioning numerics

gistfile1.txt

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       "self_square_a (generic function with 1 method)"
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   "source": [
    "function self_square_a(x::Any)\n",
    "   x*x \n",
    "end"
   ]
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       "self_square_n (generic function with 1 method)"
      ]
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   "source": [
    "function self_square_n(x::Matrix{Number})\n",
    "   x*x \n",
    "end"
   ]
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       "self_square_u (generic function with 1 method)"
      ]
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     "execution_count": 3,
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   ],
   "source": [
    "function self_square_u(x::Union(Matrix{Number},Matrix{Float64}))\n",
    "   x*x\n",
    "end"
   ]
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       "self_square_p (generic function with 1 method)"
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   "source": [
    "function self_square_p{T<:Number}(x::Matrix{T})\n",
    "   x*x\n",
    "end"
   ]
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   "execution_count": 5,
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   "source": [
    "x500 = rand(500,500);"
   ]
  },
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      "elapsed time: 0.562960516 seconds (28610856 bytes allocated, 3.89% gc time)\n",
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   "source": [
    "@time self_square_a(x500)\n",
    "@time self_square_a(x500)\n",
    "@time self_square_a(x500)\n",
    "@time self_square_a(x500)\n",
    "@time self_square_a(x500);"
   ]
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      "elapsed time: 14.191319017 seconds (4027602028 bytes allocated, 26.06% gc time)\n",
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   "source": [
    "x_n500 = convert(Matrix{Number},x500)\n",
    "@time self_square_n(x_n500)\n",
    "@time self_square_n(x_n500)\n",
    "@time self_square_n(x_n500)\n",
    "@time self_square_n(x_n500)\n",
    "@time self_square_n(x_n500);\n"
   ]
  },
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   "execution_count": 8,
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      "elapsed time: 0.012133553 seconds (2023972 bytes allocated)\n",
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      "elapsed time: 0.011180591 seconds (2000160 bytes allocated)\n"
     ]
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   ],
   "source": [
    "@time self_square_u(x500)\n",
    "@time self_square_u(x500)\n",
    "@time self_square_u(x500)\n",
    "@time self_square_u(x500)\n",
    "@time self_square_u(x500);"
   ]
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      "elapsed time: 0.010024266 seconds (2000160 bytes allocated)\n"
     ]
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   ],
   "source": [
    "@time self_square_p(x500)\n",
    "@time self_square_p(x500)\n",
    "@time self_square_p(x500)\n",
    "@time self_square_p(x500)\n",
    "@time self_square_p(x500);"
   ]
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   "execution_count": 10,
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   "source": [
    "x50 = rand(50,50);"
   ]
  },
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   "execution_count": 11,
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      "elapsed time: 4.5321e-5 seconds (20160 bytes allocated)\n"
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   ],
   "source": [
    "@time self_square_a(x50)\n",
    "@time self_square_a(x50)\n",
    "@time self_square_a(x50)\n",
    "@time self_square_a(x50)\n",
    "@time self_square_a(x50);"
   ]
  },
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      "elapsed time: 0.010720578 seconds (4020160 bytes allocated)\n",
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      "elapsed time: 0.008447835 seconds (4020160 bytes allocated)\n"
     ]
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   ],
   "source": [
    "x_n50 = convert(Matrix{Number},x50)\n",
    "@time self_square_n(x_n50)\n",
    "@time self_square_n(x_n50)\n",
    "@time self_square_n(x_n50)\n",
    "@time self_square_n(x_n50)\n",
    "@time self_square_n(x_n50);"
   ]
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     "text": [
      "elapsed time: 6.109e-5 seconds (20160 bytes allocated)\n",
      "elapsed time: 4.8077e-5 seconds (20160 bytes allocated)\n",
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      "elapsed time: 4.5891e-5 seconds (20160 bytes allocated)\n"
     ]
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   ],
   "source": [
    "@time self_square_u(x50)\n",
    "@time self_square_u(x50)\n",
    "@time self_square_u(x50)\n",
    "@time self_square_u(x50)\n",
    "@time self_square_u(x50);"
   ]
  },
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   "cell_type": "code",
   "execution_count": 14,
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     "text": [
      "elapsed time: 4.8525e-5 seconds (20160 bytes allocated)\n",
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      "elapsed time: 8.5882e-5 seconds (20160 bytes allocated)\n"
     ]
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   ],
   "source": [
    "@time self_square_p(x50)\n",
    "@time self_square_p(x50)\n",
    "@time self_square_p(x50)\n",
    "@time self_square_p(x50)\n",
    "@time self_square_p(x50);"
   ]
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