{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "ec9ea22e-1946-4601-9ddd-ba6b9243857a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "gmq (generic function with 1 method)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"../10-04/GMQ.jl\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "107c678a-21ff-4877-96da-d8c3b34cfb5d", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "-14.843750953674316" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Gradient method for quadratic functions (fixed stepsize)\n", "iter\tf(x)\t\t\t||g||\t\tgap\t\trate\n", "\n", " 1\t0.00000000e+00\t\t1.1180e+01\t1.0000e+00\t\t\n", " 2\t-1.31944444e+01\t\t3.7268e+00\t1.1111e-01\t1.1111e-01\n", " 3\t-1.46604938e+01\t\t1.2423e+00\t1.2346e-02\t1.1111e-01\n", " 4\t-1.48233882e+01\t\t4.1409e-01\t1.3718e-03\t1.1112e-01\n", " 5\t-1.48414876e+01\t\t1.3803e-01\t1.5248e-04\t1.1115e-01\n", " 6\t-1.48434986e+01\t\t4.6010e-02\t1.6999e-05\t1.1149e-01\n", " 7\t-1.48437221e+01\t\t1.5337e-02\t1.9459e-06\t1.1447e-01\n", " 8\t-1.48437469e+01\t\t5.1122e-03\t2.7332e-07\t1.4046e-01\n", " 9\t-1.48437497e+01\t\t1.7041e-03\t8.7478e-08\t3.2005e-01\n", " 10\t-1.48437500e+01\t\t5.6802e-04\t6.6829e-08\t7.6395e-01\n", " 11\t-1.48437500e+01\t\t1.8934e-04\t6.4534e-08\t9.6567e-01\n", " 12\t-1.48437500e+01\t\t6.3113e-05\t6.4279e-08\t9.9605e-01\n", " 13\t-1.48437500e+01\t\t2.1038e-05\t6.4251e-08\t9.9956e-01\n", " 14\t-1.48437500e+01\t\t7.0126e-06\t6.4248e-08\t9.9995e-01\n", " 15\t-1.48437500e+01\t\t2.3375e-06\t6.4248e-08\t9.9999e-01\n", " 16\t-1.48437500e+01\t\t7.7918e-07\t6.4248e-08\t1.0000e+00" ] }, { "data": { "image/png": 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alpha=2/(8+4), Plotf=1, printing=true) # 16 iterations instead of 12 but useful for higher dimensions" ] }, { "cell_type": "code", "execution_count": 6, "id": "094a4e0f-dfd8-4cde-a2f1-3ca1e4cccef4", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "-3.406252861022949" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Gradient method for quadratic functions (optimal stepsize)\n", "iter\tf(x)\t\t\t||g||\t\tgap\t\trate\t\talpha\n", "\n", " 1\t0.00000000e+00\t\t1.1180e+01\t1.0000e+00\t\t\t5.55e-03\n", " 2\t-3.46836848e-01\t\t3.6854e+00\t8.9818e-01\t8.9818e-01\t4.59e-02\n", " 3\t-6.58357498e-01\t\t1.0042e+01\t8.0672e-01\t8.9818e-01\t5.55e-03\n", " 4\t-9.38157975e-01\t\t3.3102e+00\t7.2458e-01\t8.9818e-01\t4.59e-02\n", " 5\t-1.18946814e+00\t\t9.0194e+00\t6.5080e-01\t8.9818e-01\t5.55e-03\n", " 6\t-1.41518899e+00\t\t2.9731e+00\t5.8453e-01\t8.9818e-01\t4.59e-02\n", " 7\t-1.61792611e+00\t\t8.1010e+00\t5.2501e-01\t8.9818e-01\t5.55e-03\n", " 8\t-1.80001980e+00\t\t2.6704e+00\t4.7155e-01\t8.9818e-01\t4.59e-02\n", " 9\t-1.96357204e+00\t\t7.2761e+00\t4.2354e-01\t8.9818e-01\t5.55e-03\n", " 10\t-2.11047079e+00\t\t2.3985e+00\t3.8041e-01\t8.9818e-01\t4.59e-02\n", " 11\t-2.24241178e+00\t\t6.5353e+00\t3.4168e-01\t8.9818e-01\t5.55e-03\n", " 12\t-2.36091805e+00\t\t2.1542e+00\t3.0689e-01\t8.9818e-01\t4.59e-02\n", " 13\t-2.46735757e+00\t\t5.8698e+00\t2.7564e-01\t8.9818e-01\t5.55e-03\n", " 14\t-2.56295904e+00\t\t1.9349e+00\t2.4757e-01\t8.9818e-01\t4.59e-02\n", " 15\t-2.64882601e+00\t\t5.2721e+00\t2.2236e-01\t8.9818e-01\t5.55e-03\n", " 16\t-2.72594970e+00\t\t1.7379e+00\t1.9972e-01\t8.9818e-01\t4.59e-02\n", " 17\t-2.79522036e+00\t\t4.7353e+00\t1.7939e-01\t8.9818e-01\t5.55e-03\n", " 18\t-2.85743764e+00\t\t1.5609e+00\t1.6112e-01\t8.9818e-01\t4.59e-02\n", " 19\t-2.91331972e+00\t\t4.2531e+00\t1.4471e-01\t8.9818e-01\t5.55e-03\n", " 20\t-2.96351169e+00\t\t1.4020e+00\t1.2998e-01\t8.9818e-01\t4.59e-02\n", " 21\t-3.00859292e+00\t\t3.8201e+00\t1.1674e-01\t8.9818e-01\t5.55e-03\n", " 22\t-3.04908382e+00\t\t1.2592e+00\t1.0486e-01\t8.9818e-01\t4.59e-02\n", " 23\t-3.08545179e+00\t\t3.4311e+00\t9.4180e-02\t8.9818e-01\t5.55e-03\n", " 24\t-3.11811664e+00\t\t1.1310e+00\t8.4590e-02\t8.9818e-01\t4.59e-02\n", " 25\t-3.14745543e+00\t\t3.0817e+00\t7.5977e-02\t8.9818e-01\t5.55e-03\n", " 26\t-3.17380684e+00\t\t1.0158e+00\t6.8241e-02\t8.9818e-01\t4.59e-02\n", " 27\t-3.19747506e+00\t\t2.7679e+00\t6.1293e-02\t8.9818e-01\t5.55e-03\n", " 28\t-3.21873329e+00\t\t9.1240e-01\t5.5052e-02\t8.9818e-01\t4.59e-02\n", " 29\t-3.23782693e+00\t\t2.4861e+00\t4.9446e-02\t8.9818e-01\t5.55e-03\n", " 30\t-3.25497638e+00\t\t8.1950e-01\t4.4411e-02\t8.9818e-01\t4.59e-02\n", " 31\t-3.27037961e+00\t\t2.2330e+00\t3.9889e-02\t8.9818e-01\t5.55e-03\n", " 32\t-3.28421443e+00\t\t7.3606e-01\t3.5828e-02\t8.9818e-01\t4.59e-02\n", " 33\t-3.29664054e+00\t\t2.0056e+00\t3.2180e-02\t8.9818e-01\t5.55e-03\n", " 34\t-3.30780138e+00\t\t6.6111e-01\t2.8903e-02\t8.9818e-01\t4.59e-02\n", " 35\t-3.31782578e+00\t\t1.8014e+00\t2.5960e-02\t8.9818e-01\t5.55e-03\n", " 36\t-3.32682946e+00\t\t5.9379e-01\t2.3317e-02\t8.9818e-01\t4.59e-02\n", " 37\t-3.33491635e+00\t\t1.6179e+00\t2.0943e-02\t8.9818e-01\t5.55e-03\n", " 38\t-3.34217980e+00\t\t5.3333e-01\t1.8810e-02\t8.9818e-01\t4.59e-02\n", " 39\t-3.34870366e+00\t\t1.4532e+00\t1.6895e-02\t8.9818e-01\t5.55e-03\n", " 40\t-3.35456324e+00\t\t4.7902e-01\t1.5175e-02\t8.9818e-01\t4.59e-02\n", " 41\t-3.35982618e+00\t\t1.3052e+00\t1.3630e-02\t8.9818e-01\t5.55e-03\n", " 42\t-3.36455322e+00\t\t4.3025e-01\t1.2242e-02\t8.9818e-01\t4.59e-02\n", " 43\t-3.36879894e+00\t\t1.1723e+00\t1.0996e-02\t8.9818e-01\t5.55e-03\n", " 44\t-3.37261234e+00\t\t3.8644e-01\t9.8761e-03\t8.9818e-01\t4.59e-02\n", " 45\t-3.37603745e+00\t\t1.0530e+00\t8.8706e-03\t8.9818e-01\t5.55e-03\n", " 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280\t-3.40625000e+00\t\t1.2127e-06\t8.3993e-07\t1.0000e+00\t4.59e-02\n", " 281\t-3.40625000e+00\t\t3.3043e-06\t8.3993e-07\t1.0000e+00\t5.55e-03\n", " 282\t-3.40625000e+00\t\t1.0892e-06\t8.3993e-07\t1.0000e+00\t4.59e-02\n", " 283\t-3.40625000e+00\t\t2.9679e-06\t8.3993e-07\t1.0000e+00\t5.55e-03\n", " 284\t-3.40625000e+00\t\t9.7830e-07\t8.3993e-07\t1.0000e+00\n" ] }, { "data": { "image/png": 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xStar\n", "v |> display\n", "gmq(Q, q, fStar=v, Plotf=1, printing=true) # 16 iterations instead of 12 but useful for higher dimensions" ] }, { "cell_type": "code", "execution_count": 7, "id": "01009aed-de0a-4052-bcc7-2e59e42f3d8a", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gradient method for quadratic functions (fixed stepsize)\n", "iter\tf(x)\t\t\t||g||\t\tgap\t\trate\n", "\n", " 1\t0.00000000e+00\t\t1.1180e+01\t1.0000e+00\t\t\n", " 2\t-1.33565337e-01\t\t1.0959e+01\t9.6079e-01\t9.6079e-01\n", " 3\t-2.61893331e-01\t\t1.0742e+01\t9.2311e-01\t9.6079e-01\n", " 4\t-3.85189347e-01\t\t1.0529e+01\t8.8692e-01\t9.6079e-01\n", " 5\t-5.03650700e-01\t\t1.0321e+01\t8.5214e-01\t9.6079e-01\n", " 6\t-6.17466965e-01\t\t1.0116e+01\t8.1873e-01\t9.6079e-01\n", " 7\t-7.26820285e-01\t\t9.9160e+00\t7.8662e-01\t9.6079e-01\n", " 8\t-8.31885660e-01\t\t9.7197e+00\t7.5578e-01\t9.6079e-01\n", " 9\t-9.32831227e-01\t\t9.5272e+00\t7.2614e-01\t9.6079e-01\n", " 10\t-1.02981853e+00\t\t9.3385e+00\t6.9767e-01\t9.6079e-01\n", " 11\t-1.12300279e+00\t\t9.1536e+00\t6.7031e-01\t9.6079e-01\n", " 12\t-1.21253312e+00\t\t8.9724e+00\t6.4403e-01\t9.6079e-01\n", " 13\t-1.29855280e+00\t\t8.7947e+00\t6.1877e-01\t9.6079e-01\n", " 14\t-1.38119949e+00\t\t8.6205e+00\t5.9451e-01\t9.6079e-01\n", " 15\t-1.46060545e+00\t\t8.4498e+00\t5.7120e-01\t9.6079e-01\n", " 16\t-1.53689775e+00\t\t8.2825e+00\t5.4880e-01\t9.6079e-01\n", " 17\t-1.61019850e+00\t\t8.1185e+00\t5.2728e-01\t9.6079e-01\n", " 18\t-1.68062499e+00\t\t7.9577e+00\t5.0661e-01\t9.6079e-01\n", " 19\t-1.74828992e+00\t\t7.8002e+00\t4.8674e-01\t9.6079e-01\n", " 20\t-1.81330159e+00\t\t7.6457e+00\t4.6766e-01\t9.6079e-01\n", " 21\t-1.87576403e+00\t\t7.4943e+00\t4.4932e-01\t9.6079e-01\n", " 22\t-1.93577721e+00\t\t7.3459e+00\t4.3170e-01\t9.6079e-01\n", " 23\t-1.99343715e+00\t\t7.2004e+00\t4.1477e-01\t9.6079e-01\n", " 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459\t-3.40624996e+00\t\t1.1754e-03\t8.5099e-07\t9.9947e-01\n", " 460\t-3.40624996e+00\t\t1.1521e-03\t8.5055e-07\t9.9949e-01\n", " 461\t-3.40624997e+00\t\t1.1293e-03\t8.5014e-07\t9.9951e-01\n", " 462\t-3.40624997e+00\t\t1.1069e-03\t8.4974e-07\t9.9953e-01\n", " 463\t-3.40624997e+00\t\t1.0850e-03\t8.4935e-07\t9.9955e-01\n", " 464\t-3.40624997e+00\t\t1.0635e-03\t8.4898e-07\t9.9957e-01\n", " 465\t-3.40624997e+00\t\t1.0425e-03\t8.4863e-07\t9.9958e-01\n", " 466\t-3.40624997e+00\t\t1.0218e-03\t8.4829e-07\t9.9960e-01\n", " 467\t-3.40624997e+00\t\t1.0016e-03\t8.4796e-07\t9.9961e-01\n", " 468\t-3.40624997e+00\t\t9.8177e-04\t8.4764e-07\t9.9963e-01\n", " 469\t-3.40624997e+00\t\t9.6233e-04\t8.4734e-07\t9.9964e-01\n", " 470\t-3.40624998e+00\t\t9.4327e-04\t8.4705e-07\t9.9966e-01\n", " 471\t-3.40624998e+00\t\t9.2459e-04\t8.4677e-07\t9.9967e-01\n", " 472\t-3.40624998e+00\t\t9.0628e-04\t8.4650e-07\t9.9968e-01\n", " 473\t-3.40624998e+00\t\t8.8834e-04\t8.4625e-07\t9.9970e-01\n", " 474\t-3.40624998e+00\t\t8.7075e-04\t8.4600e-07\t9.9971e-01\n", " 475\t-3.40624998e+00\t\t8.5351e-04\t8.4576e-07\t9.9972e-01\n", " 476\t-3.40624998e+00\t\t8.3660e-04\t8.4553e-07\t9.9973e-01\n", " 477\t-3.40624998e+00\t\t8.2004e-04\t8.4531e-07\t9.9974e-01\n", " 478\t-3.40624998e+00\t\t8.0380e-04\t8.4510e-07\t9.9975e-01\n", " 479\t-3.40624998e+00\t\t7.8788e-04\t8.4490e-07\t9.9976e-01\n", " 480\t-3.40624998e+00\t\t7.7228e-04\t8.4470e-07\t9.9977e-01\n", " 481\t-3.40624998e+00\t\t7.5699e-04\t8.4452e-07\t9.9978e-01\n", " 482\t-3.40624998e+00\t\t7.4200e-04\t8.4434e-07\t9.9979e-01\n", " 483\t-3.40624999e+00\t\t7.2731e-04\t8.4416e-07\t9.9980e-01\n", " 484\t-3.40624999e+00\t\t7.1290e-04\t8.4400e-07\t9.9980e-01\n", " 485\t-3.40624999e+00\t\t6.9879e-04\t8.4384e-07\t9.9981e-01\n", " 486\t-3.40624999e+00\t\t6.8495e-04\t8.4369e-07\t9.9982e-01\n", " 487\t-3.40624999e+00\t\t6.7139e-04\t8.4354e-07\t9.9983e-01\n", " 488\t-3.40624999e+00\t\t6.5809e-04\t8.4340e-07\t9.9983e-01\n", " 489\t-3.40624999e+00\t\t6.4506e-04\t8.4326e-07\t9.9984e-01\n", " 490\t-3.40624999e+00\t\t6.3229e-04\t8.4313e-07\t9.9985e-01\n", " 491\t-3.40624999e+00\t\t6.1977e-04\t8.4301e-07\t9.9985e-01\n", " 492\t-3.40624999e+00\t\t6.0749e-04\t8.4289e-07\t9.9986e-01\n", " 493\t-3.40624999e+00\t\t5.9546e-04\t8.4277e-07\t9.9986e-01\n", " 494\t-3.40624999e+00\t\t5.8367e-04\t8.4266e-07\t9.9987e-01\n", " 495\t-3.40624999e+00\t\t5.7211e-04\t8.4255e-07\t9.9987e-01\n", " 496\t-3.40624999e+00\t\t5.6078e-04\t8.4245e-07\t9.9988e-01\n", " 497\t-3.40624999e+00\t\t5.4968e-04\t8.4235e-07\t9.9988e-01\n", " 498\t-3.40624999e+00\t\t5.3880e-04\t8.4226e-07\t9.9989e-01\n", " 499\t-3.40624999e+00\t\t5.2813e-04\t8.4216e-07\t9.9989e-01\n", " 500\t-3.40624999e+00\t\t5.1767e-04\t8.4208e-07\t9.9990e-01\n", " 501\t-3.40624999e+00\t\t5.0742e-04\t8.4199e-07\t9.9990e-01\n", " 502\t-3.40624999e+00\t\t4.9737e-04\t8.4191e-07\t9.9990e-01\n", " 503\t-3.40624999e+00\t\t4.8752e-04\t8.4183e-07\t9.9991e-01\n", " 504\t-3.40624999e+00\t\t4.7787e-04\t8.4176e-07\t9.9991e-01\n", " 505\t-3.40624999e+00\t\t4.6840e-04\t8.4169e-07\t9.9991e-01\n", " 506\t-3.40624999e+00\t\t4.5913e-04\t8.4162e-07\t9.9992e-01\n", " 507\t-3.40624999e+00\t\t4.5004e-04\t8.4155e-07\t9.9992e-01\n", " 508\t-3.40624999e+00\t\t4.4113e-04\t8.4149e-07\t9.9992e-01\n", " 509\t-3.40624999e+00\t\t4.3239e-04\t8.4143e-07\t9.9993e-01\n", " 510\t-3.40625000e+00\t\t4.2383e-04\t8.4137e-07\t9.9993e-01\n", " 511\t-3.40625000e+00\t\t4.1544e-04\t8.4131e-07\t9.9993e-01\n", " 512\t-3.40625000e+00\t\t4.0721e-04\t8.4126e-07\t9.9994e-01\n", " 513\t-3.40625000e+00\t\t3.9915e-04\t8.4121e-07\t9.9994e-01\n", " 514\t-3.40625000e+00\t\t3.9124e-04\t8.4116e-07\t9.9994e-01\n", " 515\t-3.40625000e+00\t\t3.8349e-04\t8.4111e-07\t9.9994e-01\n", " 516\t-3.40625000e+00\t\t3.7590e-04\t8.4106e-07\t9.9995e-01\n", " 517\t-3.40625000e+00\t\t3.6846e-04\t8.4102e-07\t9.9995e-01\n", " 518\t-3.40625000e+00\t\t3.6116e-04\t8.4098e-07\t9.9995e-01\n", " 519\t-3.40625000e+00\t\t3.5401e-04\t8.4094e-07\t9.9995e-01\n", " 520\t-3.40625000e+00\t\t3.4700e-04\t8.4090e-07\t9.9995e-01\n", " 521\t-3.40625000e+00\t\t3.4013e-04\t8.4086e-07\t9.9996e-01\n", " 522\t-3.40625000e+00\t\t3.3339e-04\t8.4082e-07\t9.9996e-01\n", " 523\t-3.40625000e+00\t\t3.2679e-04\t8.4079e-07\t9.9996e-01\n", " 524\t-3.40625000e+00\t\t3.2032e-04\t8.4075e-07\t9.9996e-01\n", " 525\t-3.40625000e+00\t\t3.1398e-04\t8.4072e-07\t9.9996e-01\n", " 526\t-3.40625000e+00\t\t3.0776e-04\t8.4069e-07\t9.9996e-01\n", " 527\t-3.40625000e+00\t\t3.0166e-04\t8.4066e-07\t9.9996e-01\n", " 528\t-3.40625000e+00\t\t2.9569e-04\t8.4063e-07\t9.9997e-01\n", " 529\t-3.40625000e+00\t\t2.8984e-04\t8.4060e-07\t9.9997e-01\n", " 530\t-3.40625000e+00\t\t2.8410e-04\t8.4058e-07\t9.9997e-01\n", " 531\t-3.40625000e+00\t\t2.7847e-04\t8.4055e-07\t9.9997e-01\n", " 532\t-3.40625000e+00\t\t2.7296e-04\t8.4053e-07\t9.9997e-01\n", " 533\t-3.40625000e+00\t\t2.6755e-04\t8.4051e-07\t9.9997e-01\n", " 534\t-3.40625000e+00\t\t2.6225e-04\t8.4048e-07\t9.9997e-01\n", " 535\t-3.40625000e+00\t\t2.5706e-04\t8.4046e-07\t9.9997e-01\n", " 536\t-3.40625000e+00\t\t2.5197e-04\t8.4044e-07\t9.9998e-01\n", " 537\t-3.40625000e+00\t\t2.4698e-04\t8.4042e-07\t9.9998e-01\n", " 538\t-3.40625000e+00\t\t2.4209e-04\t8.4040e-07\t9.9998e-01\n", " 539\t-3.40625000e+00\t\t2.3730e-04\t8.4038e-07\t9.9998e-01\n", " 540\t-3.40625000e+00\t\t2.3260e-04\t8.4037e-07\t9.9998e-01\n", " 541\t-3.40625000e+00\t\t2.2799e-04\t8.4035e-07\t9.9998e-01\n", " 542\t-3.40625000e+00\t\t2.2348e-04\t8.4033e-07\t9.9998e-01\n", " 543\t-3.40625000e+00\t\t2.1905e-04\t8.4032e-07\t9.9998e-01\n", " 544\t-3.40625000e+00\t\t2.1471e-04\t8.4030e-07\t9.9998e-01\n", " 545\t-3.40625000e+00\t\t2.1046e-04\t8.4029e-07\t9.9998e-01\n", " 546\t-3.40625000e+00\t\t2.0629e-04\t8.4027e-07\t9.9998e-01\n", " 547\t-3.40625000e+00\t\t2.0221e-04\t8.4026e-07\t9.9998e-01\n", " 548\t-3.40625000e+00\t\t1.9821e-04\t8.4025e-07\t9.9998e-01\n", " 549\t-3.40625000e+00\t\t1.9428e-04\t8.4023e-07\t9.9999e-01\n", " 550\t-3.40625000e+00\t\t1.9043e-04\t8.4022e-07\t9.9999e-01\n", " 551\t-3.40625000e+00\t\t1.8666e-04\t8.4021e-07\t9.9999e-01\n", " 552\t-3.40625000e+00\t\t1.8297e-04\t8.4020e-07\t9.9999e-01\n", " 553\t-3.40625000e+00\t\t1.7934e-04\t8.4019e-07\t9.9999e-01\n", " 554\t-3.40625000e+00\t\t1.7579e-04\t8.4018e-07\t9.9999e-01\n", " 555\t-3.40625000e+00\t\t1.7231e-04\t8.4017e-07\t9.9999e-01\n", " 556\t-3.40625000e+00\t\t1.6890e-04\t8.4016e-07\t9.9999e-01\n", " 557\t-3.40625000e+00\t\t1.6555e-04\t8.4015e-07\t9.9999e-01\n", " 558\t-3.40625000e+00\t\t1.6228e-04\t8.4014e-07\t9.9999e-01\n", " 559\t-3.40625000e+00\t\t1.5906e-04\t8.4014e-07\t9.9999e-01\n", " 560\t-3.40625000e+00\t\t1.5591e-04\t8.4013e-07\t9.9999e-01\n", " 561\t-3.40625000e+00\t\t1.5283e-04\t8.4012e-07\t9.9999e-01\n", " 562\t-3.40625000e+00\t\t1.4980e-04\t8.4011e-07\t9.9999e-01\n", " 563\t-3.40625000e+00\t\t1.4683e-04\t8.4011e-07\t9.9999e-01\n", " 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594\t-3.40625000e+00\t\t7.8986e-05\t8.3998e-07\t1.0000e+00\n", " 595\t-3.40625000e+00\t\t7.7422e-05\t8.3998e-07\t1.0000e+00\n", " 596\t-3.40625000e+00\t\t7.5889e-05\t8.3998e-07\t1.0000e+00\n", " 597\t-3.40625000e+00\t\t7.4386e-05\t8.3998e-07\t1.0000e+00\n", " 598\t-3.40625000e+00\t\t7.2913e-05\t8.3998e-07\t1.0000e+00\n", " 599\t-3.40625000e+00\t\t7.1469e-05\t8.3997e-07\t1.0000e+00\n", " 600\t-3.40625000e+00\t\t7.0054e-05\t8.3997e-07\t1.0000e+00\n", " 601\t-3.40625000e+00\t\t6.8667e-05\t8.3997e-07\t1.0000e+00\n", " 602\t-3.40625000e+00\t\t6.7307e-05\t8.3997e-07\t1.0000e+00\n", " 603\t-3.40625000e+00\t\t6.5974e-05\t8.3997e-07\t1.0000e+00\n", " 604\t-3.40625000e+00\t\t6.4668e-05\t8.3997e-07\t1.0000e+00\n", " 605\t-3.40625000e+00\t\t6.3387e-05\t8.3996e-07\t1.0000e+00\n", " 606\t-3.40625000e+00\t\t6.2132e-05\t8.3996e-07\t1.0000e+00\n", " 607\t-3.40625000e+00\t\t6.0902e-05\t8.3996e-07\t1.0000e+00\n", " 608\t-3.40625000e+00\t\t5.9696e-05\t8.3996e-07\t1.0000e+00\n", " 609\t-3.40625000e+00\t\t5.8514e-05\t8.3996e-07\t1.0000e+00\n", " 610\t-3.40625000e+00\t\t5.7355e-05\t8.3996e-07\t1.0000e+00\n", " 611\t-3.40625000e+00\t\t5.6219e-05\t8.3996e-07\t1.0000e+00\n", " 612\t-3.40625000e+00\t\t5.5106e-05\t8.3996e-07\t1.0000e+00\n", " 613\t-3.40625000e+00\t\t5.4015e-05\t8.3996e-07\t1.0000e+00\n", " 614\t-3.40625000e+00\t\t5.2945e-05\t8.3996e-07\t1.0000e+00\n", " 615\t-3.40625000e+00\t\t5.1897e-05\t8.3995e-07\t1.0000e+00\n", " 616\t-3.40625000e+00\t\t5.0869e-05\t8.3995e-07\t1.0000e+00\n", " 617\t-3.40625000e+00\t\t4.9862e-05\t8.3995e-07\t1.0000e+00\n", " 618\t-3.40625000e+00\t\t4.8875e-05\t8.3995e-07\t1.0000e+00\n", " 619\t-3.40625000e+00\t\t4.7907e-05\t8.3995e-07\t1.0000e+00\n", " 620\t-3.40625000e+00\t\t4.6958e-05\t8.3995e-07\t1.0000e+00\n", " 621\t-3.40625000e+00\t\t4.6028e-05\t8.3995e-07\t1.0000e+00\n", " 622\t-3.40625000e+00\t\t4.5117e-05\t8.3995e-07\t1.0000e+00\n", " 623\t-3.40625000e+00\t\t4.4223e-05\t8.3995e-07\t1.0000e+00\n", " 624\t-3.40625000e+00\t\t4.3348e-05\t8.3995e-07\t1.0000e+00\n", " 625\t-3.40625000e+00\t\t4.2489e-05\t8.3995e-07\t1.0000e+00\n", " 626\t-3.40625000e+00\t\t4.1648e-05\t8.3995e-07\t1.0000e+00\n", " 627\t-3.40625000e+00\t\t4.0823e-05\t8.3995e-07\t1.0000e+00\n", " 628\t-3.40625000e+00\t\t4.0015e-05\t8.3995e-07\t1.0000e+00\n", " 629\t-3.40625000e+00\t\t3.9222e-05\t8.3994e-07\t1.0000e+00\n", " 630\t-3.40625000e+00\t\t3.8446e-05\t8.3994e-07\t1.0000e+00\n", " 631\t-3.40625000e+00\t\t3.7684e-05\t8.3994e-07\t1.0000e+00\n", " 632\t-3.40625000e+00\t\t3.6938e-05\t8.3994e-07\t1.0000e+00\n", " 633\t-3.40625000e+00\t\t3.6207e-05\t8.3994e-07\t1.0000e+00\n", " 634\t-3.40625000e+00\t\t3.5490e-05\t8.3994e-07\t1.0000e+00\n", " 635\t-3.40625000e+00\t\t3.4787e-05\t8.3994e-07\t1.0000e+00\n", " 636\t-3.40625000e+00\t\t3.4098e-05\t8.3994e-07\t1.0000e+00\n", " 637\t-3.40625000e+00\t\t3.3423e-05\t8.3994e-07\t1.0000e+00\n", " 638\t-3.40625000e+00\t\t3.2761e-05\t8.3994e-07\t1.0000e+00\n", " 639\t-3.40625000e+00\t\t3.2112e-05\t8.3994e-07\t1.0000e+00\n", " 640\t-3.40625000e+00\t\t3.1477e-05\t8.3994e-07\t1.0000e+00\n", " 641\t-3.40625000e+00\t\t3.0853e-05\t8.3994e-07\t1.0000e+00\n", " 642\t-3.40625000e+00\t\t3.0242e-05\t8.3994e-07\t1.0000e+00\n", " 643\t-3.40625000e+00\t\t2.9643e-05\t8.3994e-07\t1.0000e+00\n", " 644\t-3.40625000e+00\t\t2.9056e-05\t8.3994e-07\t1.0000e+00\n", " 645\t-3.40625000e+00\t\t2.8481e-05\t8.3994e-07\t1.0000e+00\n", " 646\t-3.40625000e+00\t\t2.7917e-05\t8.3994e-07\t1.0000e+00\n", " 647\t-3.40625000e+00\t\t2.7364e-05\t8.3994e-07\t1.0000e+00\n", " 648\t-3.40625000e+00\t\t2.6822e-05\t8.3994e-07\t1.0000e+00\n", " 649\t-3.40625000e+00\t\t2.6291e-05\t8.3994e-07\t1.0000e+00\n", " 650\t-3.40625000e+00\t\t2.5771e-05\t8.3994e-07\t1.0000e+00\n", " 651\t-3.40625000e+00\t\t2.5260e-05\t8.3994e-07\t1.0000e+00\n", " 652\t-3.40625000e+00\t\t2.4760e-05\t8.3994e-07\t1.0000e+00\n", " 653\t-3.40625000e+00\t\t2.4270e-05\t8.3994e-07\t1.0000e+00\n", " 654\t-3.40625000e+00\t\t2.3789e-05\t8.3994e-07\t1.0000e+00\n", " 655\t-3.40625000e+00\t\t2.3318e-05\t8.3994e-07\t1.0000e+00\n", " 656\t-3.40625000e+00\t\t2.2856e-05\t8.3994e-07\t1.0000e+00\n", " 657\t-3.40625000e+00\t\t2.2404e-05\t8.3994e-07\t1.0000e+00\n", " 658\t-3.40625000e+00\t\t2.1960e-05\t8.3994e-07\t1.0000e+00\n", " 659\t-3.40625000e+00\t\t2.1525e-05\t8.3994e-07\t1.0000e+00\n", " 660\t-3.40625000e+00\t\t2.1099e-05\t8.3994e-07\t1.0000e+00\n", " 661\t-3.40625000e+00\t\t2.0681e-05\t8.3994e-07\t1.0000e+00\n", " 662\t-3.40625000e+00\t\t2.0272e-05\t8.3994e-07\t1.0000e+00\n", " 663\t-3.40625000e+00\t\t1.9870e-05\t8.3994e-07\t1.0000e+00\n", " 664\t-3.40625000e+00\t\t1.9477e-05\t8.3994e-07\t1.0000e+00\n", " 665\t-3.40625000e+00\t\t1.9091e-05\t8.3994e-07\t1.0000e+00\n", " 666\t-3.40625000e+00\t\t1.8713e-05\t8.3994e-07\t1.0000e+00\n", " 667\t-3.40625000e+00\t\t1.8343e-05\t8.3994e-07\t1.0000e+00\n", " 668\t-3.40625000e+00\t\t1.7979e-05\t8.3994e-07\t1.0000e+00\n", " 669\t-3.40625000e+00\t\t1.7623e-05\t8.3994e-07\t1.0000e+00\n", " 670\t-3.40625000e+00\t\t1.7274e-05\t8.3994e-07\t1.0000e+00\n", " 671\t-3.40625000e+00\t\t1.6932e-05\t8.3993e-07\t1.0000e+00\n", " 672\t-3.40625000e+00\t\t1.6597e-05\t8.3993e-07\t1.0000e+00\n", " 673\t-3.40625000e+00\t\t1.6268e-05\t8.3993e-07\t1.0000e+00\n", " 674\t-3.40625000e+00\t\t1.5946e-05\t8.3993e-07\t1.0000e+00\n", " 675\t-3.40625000e+00\t\t1.5630e-05\t8.3993e-07\t1.0000e+00\n", " 676\t-3.40625000e+00\t\t1.5321e-05\t8.3993e-07\t1.0000e+00\n", " 677\t-3.40625000e+00\t\t1.5018e-05\t8.3993e-07\t1.0000e+00\n", " 678\t-3.40625000e+00\t\t1.4720e-05\t8.3993e-07\t1.0000e+00\n", " 679\t-3.40625000e+00\t\t1.4429e-05\t8.3993e-07\t1.0000e+00\n", " 680\t-3.40625000e+00\t\t1.4143e-05\t8.3993e-07\t1.0000e+00\n", " 681\t-3.40625000e+00\t\t1.3863e-05\t8.3993e-07\t1.0000e+00\n", " 682\t-3.40625000e+00\t\t1.3588e-05\t8.3993e-07\t1.0000e+00\n", " 683\t-3.40625000e+00\t\t1.3319e-05\t8.3993e-07\t1.0000e+00\n", " 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699\t-3.40625000e+00\t\t9.6717e-06\t8.3993e-07\t1.0000e+00\n", " 700\t-3.40625000e+00\t\t9.4802e-06\t8.3993e-07\t1.0000e+00\n", " 701\t-3.40625000e+00\t\t9.2924e-06\t8.3993e-07\t1.0000e+00\n", " 702\t-3.40625000e+00\t\t9.1084e-06\t8.3993e-07\t1.0000e+00\n", " 703\t-3.40625000e+00\t\t8.9281e-06\t8.3993e-07\t1.0000e+00\n", " 704\t-3.40625000e+00\t\t8.7513e-06\t8.3993e-07\t1.0000e+00\n", " 705\t-3.40625000e+00\t\t8.5780e-06\t8.3993e-07\t1.0000e+00\n", " 706\t-3.40625000e+00\t\t8.4081e-06\t8.3993e-07\t1.0000e+00\n", " 707\t-3.40625000e+00\t\t8.2416e-06\t8.3993e-07\t1.0000e+00\n", " 708\t-3.40625000e+00\t\t8.0784e-06\t8.3993e-07\t1.0000e+00\n", " 709\t-3.40625000e+00\t\t7.9184e-06\t8.3993e-07\t1.0000e+00\n", " 710\t-3.40625000e+00\t\t7.7616e-06\t8.3993e-07\t1.0000e+00\n", " 711\t-3.40625000e+00\t\t7.6080e-06\t8.3993e-07\t1.0000e+00\n", " 712\t-3.40625000e+00\t\t7.4573e-06\t8.3993e-07\t1.0000e+00\n", " 713\t-3.40625000e+00\t\t7.3096e-06\t8.3993e-07\t1.0000e+00\n", " 714\t-3.40625000e+00\t\t7.1649e-06\t8.3993e-07\t1.0000e+00\n", " 715\t-3.40625000e+00\t\t7.0230e-06\t8.3993e-07\t1.0000e+00\n", " 716\t-3.40625000e+00\t\t6.8839e-06\t8.3993e-07\t1.0000e+00\n", " 717\t-3.40625000e+00\t\t6.7476e-06\t8.3993e-07\t1.0000e+00\n", " 718\t-3.40625000e+00\t\t6.6140e-06\t8.3993e-07\t1.0000e+00\n", " 719\t-3.40625000e+00\t\t6.4830e-06\t8.3993e-07\t1.0000e+00\n", " 720\t-3.40625000e+00\t\t6.3547e-06\t8.3993e-07\t1.0000e+00\n", " 721\t-3.40625000e+00\t\t6.2288e-06\t8.3993e-07\t1.0000e+00\n", " 722\t-3.40625000e+00\t\t6.1055e-06\t8.3993e-07\t1.0000e+00\n", " 723\t-3.40625000e+00\t\t5.9846e-06\t8.3993e-07\t1.0000e+00\n", " 724\t-3.40625000e+00\t\t5.8661e-06\t8.3993e-07\t1.0000e+00\n", " 725\t-3.40625000e+00\t\t5.7499e-06\t8.3993e-07\t1.0000e+00\n", " 726\t-3.40625000e+00\t\t5.6361e-06\t8.3993e-07\t1.0000e+00\n", " 727\t-3.40625000e+00\t\t5.5244e-06\t8.3993e-07\t1.0000e+00\n", " 728\t-3.40625000e+00\t\t5.4151e-06\t8.3993e-07\t1.0000e+00\n", " 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744\t-3.40625000e+00\t\t3.9321e-06\t8.3993e-07\t1.0000e+00\n", " 745\t-3.40625000e+00\t\t3.8542e-06\t8.3993e-07\t1.0000e+00\n", " 746\t-3.40625000e+00\t\t3.7779e-06\t8.3993e-07\t1.0000e+00\n", " 747\t-3.40625000e+00\t\t3.7031e-06\t8.3993e-07\t1.0000e+00\n", " 748\t-3.40625000e+00\t\t3.6298e-06\t8.3993e-07\t1.0000e+00\n", " 749\t-3.40625000e+00\t\t3.5579e-06\t8.3993e-07\t1.0000e+00\n", " 750\t-3.40625000e+00\t\t3.4874e-06\t8.3993e-07\t1.0000e+00\n", " 751\t-3.40625000e+00\t\t3.4184e-06\t8.3993e-07\t1.0000e+00\n", " 752\t-3.40625000e+00\t\t3.3507e-06\t8.3993e-07\t1.0000e+00\n", " 753\t-3.40625000e+00\t\t3.2843e-06\t8.3993e-07\t1.0000e+00\n", " 754\t-3.40625000e+00\t\t3.2193e-06\t8.3993e-07\t1.0000e+00\n", " 755\t-3.40625000e+00\t\t3.1556e-06\t8.3993e-07\t1.0000e+00\n", " 756\t-3.40625000e+00\t\t3.0931e-06\t8.3993e-07\t1.0000e+00\n", " 757\t-3.40625000e+00\t\t3.0318e-06\t8.3993e-07\t1.0000e+00\n", " 758\t-3.40625000e+00\t\t2.9718e-06\t8.3993e-07\t1.0000e+00\n", " 759\t-3.40625000e+00\t\t2.9129e-06\t8.3993e-07\t1.0000e+00\n", " 760\t-3.40625000e+00\t\t2.8553e-06\t8.3993e-07\t1.0000e+00\n", " 761\t-3.40625000e+00\t\t2.7987e-06\t8.3993e-07\t1.0000e+00\n", " 762\t-3.40625000e+00\t\t2.7433e-06\t8.3993e-07\t1.0000e+00\n", " 763\t-3.40625000e+00\t\t2.6890e-06\t8.3993e-07\t1.0000e+00\n", " 764\t-3.40625000e+00\t\t2.6357e-06\t8.3993e-07\t1.0000e+00\n", " 765\t-3.40625000e+00\t\t2.5835e-06\t8.3993e-07\t1.0000e+00\n", " 766\t-3.40625000e+00\t\t2.5324e-06\t8.3993e-07\t1.0000e+00\n", " 767\t-3.40625000e+00\t\t2.4822e-06\t8.3993e-07\t1.0000e+00\n", " 768\t-3.40625000e+00\t\t2.4331e-06\t8.3993e-07\t1.0000e+00\n", " 769\t-3.40625000e+00\t\t2.3849e-06\t8.3993e-07\t1.0000e+00\n", " 770\t-3.40625000e+00\t\t2.3377e-06\t8.3993e-07\t1.0000e+00\n", " 771\t-3.40625000e+00\t\t2.2914e-06\t8.3993e-07\t1.0000e+00\n", " 772\t-3.40625000e+00\t\t2.2460e-06\t8.3993e-07\t1.0000e+00\n", " 773\t-3.40625000e+00\t\t2.2015e-06\t8.3993e-07\t1.0000e+00\n", " 774\t-3.40625000e+00\t\t2.1579e-06\t8.3993e-07\t1.0000e+00\n", " 775\t-3.40625000e+00\t\t2.1152e-06\t8.3993e-07\t1.0000e+00\n", " 776\t-3.40625000e+00\t\t2.0733e-06\t8.3993e-07\t1.0000e+00\n", " 777\t-3.40625000e+00\t\t2.0323e-06\t8.3993e-07\t1.0000e+00\n", " 778\t-3.40625000e+00\t\t1.9920e-06\t8.3993e-07\t1.0000e+00\n", " 779\t-3.40625000e+00\t\t1.9526e-06\t8.3993e-07\t1.0000e+00\n", " 780\t-3.40625000e+00\t\t1.9139e-06\t8.3993e-07\t1.0000e+00\n", " 781\t-3.40625000e+00\t\t1.8760e-06\t8.3993e-07\t1.0000e+00\n", " 782\t-3.40625000e+00\t\t1.8389e-06\t8.3993e-07\t1.0000e+00\n", " 783\t-3.40625000e+00\t\t1.8024e-06\t8.3993e-07\t1.0000e+00\n", " 784\t-3.40625000e+00\t\t1.7668e-06\t8.3993e-07\t1.0000e+00\n", " 785\t-3.40625000e+00\t\t1.7318e-06\t8.3993e-07\t1.0000e+00\n", " 786\t-3.40625000e+00\t\t1.6975e-06\t8.3993e-07\t1.0000e+00\n", " 787\t-3.40625000e+00\t\t1.6639e-06\t8.3993e-07\t1.0000e+00\n", " 788\t-3.40625000e+00\t\t1.6309e-06\t8.3993e-07\t1.0000e+00\n", " 789\t-3.40625000e+00\t\t1.5986e-06\t8.3993e-07\t1.0000e+00\n", " 790\t-3.40625000e+00\t\t1.5670e-06\t8.3993e-07\t1.0000e+00\n", " 791\t-3.40625000e+00\t\t1.5359e-06\t8.3993e-07\t1.0000e+00\n", " 792\t-3.40625000e+00\t\t1.5055e-06\t8.3993e-07\t1.0000e+00\n", " 793\t-3.40625000e+00\t\t1.4757e-06\t8.3993e-07\t1.0000e+00\n", " 794\t-3.40625000e+00\t\t1.4465e-06\t8.3993e-07\t1.0000e+00\n", " 795\t-3.40625000e+00\t\t1.4178e-06\t8.3993e-07\t1.0000e+00\n", " 796\t-3.40625000e+00\t\t1.3898e-06\t8.3993e-07\t1.0000e+00\n", " 797\t-3.40625000e+00\t\t1.3622e-06\t8.3993e-07\t1.0000e+00\n", " 798\t-3.40625000e+00\t\t1.3353e-06\t8.3993e-07\t1.0000e+00\n", " 799\t-3.40625000e+00\t\t1.3088e-06\t8.3993e-07\t1.0000e+00\n", " 800\t-3.40625000e+00\t\t1.2829e-06\t8.3993e-07\t1.0000e+00\n", " 801\t-3.40625000e+00\t\t1.2575e-06\t8.3993e-07\t1.0000e+00\n", " 802\t-3.40625000e+00\t\t1.2326e-06\t8.3993e-07\t1.0000e+00\n", " 803\t-3.40625000e+00\t\t1.2082e-06\t8.3993e-07\t1.0000e+00\n", " 804\t-3.40625000e+00\t\t1.1843e-06\t8.3993e-07\t1.0000e+00\n", " 805\t-3.40625000e+00\t\t1.1608e-06\t8.3993e-07\t1.0000e+00\n", " 806\t-3.40625000e+00\t\t1.1378e-06\t8.3993e-07\t1.0000e+00\n", " 807\t-3.40625000e+00\t\t1.1153e-06\t8.3993e-07\t1.0000e+00\n", " 808\t-3.40625000e+00\t\t1.0932e-06\t8.3993e-07\t1.0000e+00\n", " 809\t-3.40625000e+00\t\t1.0716e-06\t8.3993e-07\t1.0000e+00\n", " 810\t-3.40625000e+00\t\t1.0504e-06\t8.3993e-07\t1.0000e+00\n", " 811\t-3.40625000e+00\t\t1.0296e-06\t8.3993e-07\t1.0000e+00\n", " 812\t-3.40625000e+00\t\t1.0092e-06\t8.3993e-07\t1.0000e+00\n", " 813\t-3.40625000e+00\t\t9.8918e-07\t8.3993e-07\t1.0000e+00" ] }, { "data": { "image/png": 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