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notebook run
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notebook.ipynb

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@@ -119,7 +119,13 @@
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"output_type": "stream",
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"name": "stdout",
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"text": [
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"Requirement already up-to-date: gmpy2 in ./env/lib/python3.9/site-packages (2.0.8)\nRequirement already up-to-date: modular-towers in ./env/lib/python3.9/site-packages (0.1.4)\nRequirement already satisfied, skipping upgrade: sympy in ./env/lib/python3.9/site-packages/sympy-1.7.1-py3.9.egg (from modular-towers) (1.7.1)\nRequirement already satisfied, skipping upgrade: mpmath>=0.19 in ./env/lib/python3.9/site-packages/mpmath-1.2.1-py3.9.egg (from sympy->modular-towers) (1.2.1)\n"
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"Requirement already up-to-date: gmpy2 in ./env/lib/python3.9/site-packages (2.0.8)\n",
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"Requirement already up-to-date: sympy in ./env/lib/python3.9/site-packages (1.7.1)\n",
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"Collecting mod-nest-exp\n",
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" Downloading mod_nest_exp-1.0.8-py3-none-any.whl (23 kB)\n",
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"Requirement already satisfied, skipping upgrade: mpmath>=0.19 in ./env/lib/python3.9/site-packages (from sympy) (1.2.1)\n",
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"Installing collected packages: mod-nest-exp\n",
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"Successfully installed mod-nest-exp-1.0.8\n"
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]
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}
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]
@@ -286,24 +292,24 @@
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"output_type": "stream",
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"name": "stdout",
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"text": [
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"Running mod_tower on sequences of l pseudorandom b-bit positive integers over a B-bit modulus (1000 runs per table entry)\n",
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"Running mod_nest_exp on sequences of l pseudorandom b-bit positive integers over a B-bit modulus (1000 runs per table entry)\n",
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"=================================================================\n",
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" sequence length l \n",
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" 10 100 1000 \n",
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" ----------------- ----------------- -----------------\n",
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" B b mean stdev mean stdev mean stdev\n",
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"-----------------------------------------------------------------\n",
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" 16 | 0.25 0.16 0.24 0.15 0.31 0.17 \n",
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" 16 128 | 0.19 0.11 0.21 0.12 0.33 0.21 \n",
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" 1024 | 0.24 0.16 0.27 0.17 0.39 0.38 \n",
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" 16 | 0.24 0.17 0.22 0.12 0.27 0.12 \n",
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" 16 128 | 0.19 0.10 0.21 0.11 0.27 0.13 \n",
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" 1024 | 0.17 0.09 0.24 0.14 0.40 0.30 \n",
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"-----------------------------------------------------------------\n",
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" 16 | 0.75 0.59 0.72 1.02 0.85 0.62 \n",
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" 32 128 | 0.75 0.61 0.78 0.67 0.83 0.56 \n",
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" 1024 | 0.80 0.70 0.90 0.95 0.93 0.61 \n",
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" 16 | 0.73 0.60 0.67 0.95 0.75 0.48 \n",
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" 32 128 | 0.73 0.57 0.72 0.55 0.79 0.56 \n",
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" 1024 | 0.74 0.55 0.75 0.55 0.93 0.62 \n",
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"-----------------------------------------------------------------\n",
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" 16 | 19.25 82.73 16.10 60.39 16.25 51.35 \n",
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" 64 128 | 23.96 79.79 24.89 104.79 15.50 55.90 \n",
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" 1024 | 22.95 102.55 19.28 70.33 20.59 77.29 \n",
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" 16 | 15.99 62.00 11.11 36.32 8.80 30.57 \n",
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" 64 128 | 12.11 48.83 16.12 55.35 13.27 57.61 \n",
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" 1024 | 12.31 64.42 15.88 57.40 13.32 41.52 \n",
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"=================================================================\n"
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]
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}

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