{ "cells": [ { "cell_type": "markdown", "id": "6be356db", "metadata": {}, "source": [ "# How to Benchmark Optimization Algorithms\n", "\n", "Benchmarking optimization algorithms is an important step when developing a new algorithm or when searching for an algorithm that is good at solving a particular problem. \n", "\n", "In general, benchmarking constists of the following steps:\n", "\n", "1. Define the test problems (or get pre-implemented ones)\n", "2. Define the optimization algorithms and the tuning parameters you want to try\n", "3. Run the benchmark\n", "4. Plot the results\n", "\n", "Estimagic helps you with all of these steps!" ] }, { "cell_type": "markdown", "id": "8671802f", "metadata": {}, "source": [ "## 1. Get Test Problems\n", "\n", "Estimagic includes the problems of [Moré and Wild (2009)](https://doi.org/10.1137/080724083) as well as [Cartis and Roberts](https://arxiv.org/abs/1710.11005).\n", "\n", "Each problem consist of the `inputs` (the criterion function and the start parameters) and the `solution` (the optimal parameters and criterion value) and optionally provides more information.\n", "\n", "Below we load a subset of the Moré and Wild problems and look at one particular Rosenbrock problem that has difficult start parameters." ] }, { "cell_type": "code", "execution_count": 1, "id": "83c2f8e4", "metadata": {}, "outputs": [], "source": [ "import estimagic as em" ] }, { "cell_type": "code", "execution_count": 2, "id": "c3640855", "metadata": {}, "outputs": [], "source": [ "problems = em.get_benchmark_problems(\"example\")" ] }, { "cell_type": "markdown", "id": "c628b987", "metadata": {}, "source": [ "## 2. Specify the Optimizers\n", "\n", "To select optimizers you want to benchmark on the set of problems, you can simply specify them as a list. Advanced examples - that do not only compare algorithms but also vary the `algo_options` - can be found below. " ] }, { "cell_type": "code", "execution_count": 3, "id": "2340cd3a", "metadata": {}, "outputs": [], "source": [ "optimizers = [\n", " \"nag_dfols\",\n", " \"scipy_neldermead\",\n", " \"scipy_truncated_newton\",\n", "]" ] }, { "cell_type": "markdown", "id": "9703f954", "metadata": {}, "source": [ "## 3. Run the Benchmark\n", "\n", "Once you have your problems and your optimizers set up, you can simply use `run_benchmark`. The results are a dictionary with one entry for each (problem, algorithm) combination. Each entry not only saves the solution but also the history of the algorithm's criterion and parameter history. " ] }, { "cell_type": "code", "execution_count": 4, "id": "f0ef15da", "metadata": {}, "outputs": [], "source": [ "results = em.run_benchmark(\n", " problems,\n", " optimizers,\n", ")" ] }, { "cell_type": "markdown", "id": "61c365ab", "metadata": {}, "source": [ "## 4a. Profile plots\n", "\n", "**Profile Plots** compare optimizers over a whole problem set. \n", "\n", "The literature distinguishes **data profiles** and **performance profiles**. Data profiles use a normalized runtime measure whereas performance profiles use an absolute one. The profile plot does not normalize runtime by default. To do this, simply set `normalize_runtime` to True. For background information, check [Moré and Wild (2009)](https://doi.org/10.1137/080724083). " ] }, { "cell_type": "code", "execution_count": 5, "id": "07918672", "metadata": {}, "outputs": [ { "data": { "image/png": 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/V7FRXGX18/NT9dTnzp2rluGZGY8/Y79t2rRBjx49VLtRBf3o0aNgHXh/f3+VCGvs2LFIzHFne3+2qTk+o4LOZZj169djy5YtqlAB6wvT+BIyMI6ViGzJzCHof/wdjs3bdPj4fUd8+F78S1TxcelyezdWvriC7/LWQv9sZW0Jn/gqBJJFQPf8CYI3/YjQPX8DYaGqLceCxeD2cXs416gLpFCWxNAwgMdLLW0uzoj3I7906dIYMGAAevbsqaq7tWrVCiNHjkS1atXU71pWh8ufP7+q5c5KbNz+pPDz5BH3wD08PPDFF1+gadOm8f4eZsGZDh06YOPGjUq0mQmP++T//fefEm/++fHjx+okE40zdS8vL7Wvzt/vLEzDjw5+CEQVdBaqYYnZYsWKwcfHR4k6y8eKpT4Bo4I+f/58Jebt27dXL4Ihqp01gfnVyBfLlswcgr52Qzh27dehTQtHNKiTeEEvcX4troS8xn8lPkG1dNlsCZ/4KgSSRED38C6CN6xE6KFdgC5iu8qpdCW4NWsPp/LVktRmYm4y1FtIzD3muDZzRmBqPPUdKOjcw6aw0vj7lOVYKexRLSwsTJ0o4qydwWucjS9fvlxdQpHlNmjv3r3jdJc5RPhxwBKvtNDQUNXHv//+G6egc5bPDwiDOG/btk3N5jnDjyrogwYNgre3t/qgMPhvDl7SRvIJGBX02rVrq1rCTCrDF/DChQuqRy4F8Wfnz59PvgcWbMEcgr7853AcPqpTEe2MbE+M+YaHwuv0MjjBAYGVusNZk/Cee2Lal2uFgDURCL9xWQl52PH/1zfXaOBc9R24fdJJzcwtZX7+wMo1Wkt1F9mPZ3oNOreN+984f5/y96ehdsP48ePVjJdV3ViXffXq1WqWTuME6uzZs3jx4gWaNWum8n9QUDm7Z/32WrVqxTk21mfPnDmzus5g/DigUMecoXP5nPvrUX+n8yNiwoQJStSjCjpz3S9btkwt/7PG/LBhw2IdbbY4bOlQETAq6GXKlFEvV/r06aMJOvduGBh38uRJm8JoDkGfv1SL0+f06NvNCRXLJbxnHhXQVt+7eP/aX6iZLgcOlYh+FNCmQIqzQsAIAe254wj+/Udoz5+IuMrJCS61G8OteQc45Mgj7IBov08JxCDoTZo0QYMGDfDLL7+oiRSXvnmkjIJO42yZQsrleO6rU9DjM87QuUxvWFLn0j5/pzMbaExB50yfRWj279+vlt1p8c3QDf1xxk+/OaPndoFY6hMwKugMiChXrpxaWjHM0F+/fo3Bgwerhz579uzUH0EiPDCHoE+bq8XVG3oM6+eE4kUTJ+hfPTyGiY+OY3D28piZp2YiPJdLhYCVE9DrEXbsgNojD79+KcJZN3e4NvgIbh+1hcY7s5UPwLLuRV3xjCroXPnkPvmePXvUPjmPlXGZnbXaaR9++KFaNTVlqfvatWtqH5ynlLJnz64qyXHGbWwPnZM3fgAY9tA7deqEDz74INoMnVuvTDpGoy88AcUtA7HUJ2BU0B89eqTEnEvs9+7dU193nJ2zrODChQuRJUuW1B9BIjwwh6BPmKbFvQd6VVmNFdYSY42vbcZ23/v4tVAjtMxYODG3yrVCwDoJ6MIRenAngjf9BJZApWk8veD6fiu4NmkJjUd66/Q7lb2KT9C55M6l8r/++kstl3MldN26dWAyLwYpd+/eXQkyo9Y9PT3xySefqOC6+Iwzfc7qHR0d1fI4V1wZDBdXUByX3Tnj5h67m5ub6pvL9dwWiLrkzqA5XuPq6qqOL0+dOlVF24ulPgGTjq0xGINCziWbIkWKqEhMWzRzCPqICWF48RL4dpwzsiRy0pHh1FL46cJwr1wH5HGWX3S2+A6Jz/8nEBaKkD1/IeSPn6F79lj9pUOW7HD98DO41v8QcHEVVGYmwGh37p1369ZNFcrinjpFlwJti3lBzIxHmktoD53nInlEgWck7cHMIej9R4YhMAj47htnpPMwncrF4FcofWEdMju64XkFqXtuOjm50qoIBAWq8+PBf60Hz5MrIc9TEG7N2qlz5HCQQM+Uel6MZudyPPfYaffv31eVMHk0jTP4qJYxY0YVWCeWtggYnaFzaWXHjh3qq5B7NyyXyhm6rZo5BL3HwDDo9cCSOc6JOja7/PlldLuzB594F8JvhW3r/L6tPm/x23wE9P6+CNmyHiFbN4AZ3miOxcqoo2fOVeKOsjZf79ISCTDtNpfEGf3OxC9cFu/bt69KzS0mBEggwSV3RjLyvCTPnLMYC6MrKewMlGCyAluy5Ap6UDDwxYgwuLoCC6Y5J2roPe/sxZLnlzAjTw0MyV4hUffKxUIgtQjoXz1H8B8/I2Tnn0BoiHLDqWJ1uDXrAKeS5VPLLelXCAiBOAgkKOhR72G1HWaJYzL/w4cP4+rVqzYFNbmC/vIVMHx8GDJ6A9MnJE7Qy11cj3NBL3GweHO8nd62PoRs6iGLs2YhoHt8Xx09C92/FQgPBxwc4FyzPtxbdFRL7GJCQAhYHwGTBZ1pBDlL59nEp0+fqnSAPAJhS5ZcQb//UI/xU7XIlVODiSOdTB56kE6LdKeWwFESypjMTC5MHQLhd28geMMqhB3ZA7W35OIC13c/UGfINZkls2HqPBXpVQiYRsCooLMSD49P8H88a8j66Fxu51lJRlnamiVX0K/d1GPqd1oUKaTByAGmC/ouv/tocHUzqnpkxdGSLW0Nm/ibBghoL52JSAZz+ogaLY+buTZurqqf8RiamBAQAtZPwKig87w5Ay4o4g0bNrRIej9WA5ozZ47KO8w+uQrAM5QxzZAxiX/PjEo80sFzm8YsuYJ+5oIe8xZrUbaUBgN6mS7okx+dwJiHR/FFtrKYm1cCiKz/n0Xa8VB76giCfl+N8MsRmciYAMat6adwbdQMcEvEMY60g0xGKgSsloBRQec5x4RE0pwju3XrFjp27KgSKWTLlg1DhgxR6QiZ7SiqnTp1SpUa5HXMpsQPAGawYwRoSgr6v8d0WPZTON6q7IAeHU0/ntP0+t/4y+cOfi7YAG0zFTUnMmlLCCSegE6HsCN7EbxpNcJvX1f3MyWr28ft4FLnfZWqVUwICAHbIxBL0FldzVRj6T5zGtMc+vr6YujQoarZS5cuqTSEmzZtitbN3r17Va5jZqujsbQgI/BZ3zclBX33AR3W/BaOurUd0K6l6YJuSChzs2w7FHSRMoPmfGekrUQQ0GpVkJvK6vb4vrrRsVDxiKNnb72bYuVLE+GhXGoDBDjB6tWrF956661Y3q5Zs0YFSyc0ubKWYbIgDWPDTEmlay0+G/MjlqCzmo+pFlNoTb0vvutYj7dKlSpo0aKFuoRR9fzzuXPnot3C5XgmU+B2AHPNs8wr0w8mdEY+OUvuJ8/osedguKqr/EEjBzT/wBEBOi2mPz5ldNi8ZsaT08ji5IZn5SWhTHLfEWu8n/vPLEhizcaz46GHd0Umg2H5Utemn8K58tvW7Lb4Bqj02yzCUrlyZavgIYJuFY8hTidMjnK3xBBY9IVZkFhxyGAUYX7xGcoMGv6eCW9YEID5jZnNjklwnKIsFTZuHDt5y82bN8GCBUmx7xZpce6iXt3a6mNHNK7ngBshvihy/meTmvvYuwA2FX7fpGvlItsgQJEMWj0fobtNX9VK7ZHx6BmLpXBmLmYbBFiYpXDhwqrqpTWYCLo1PIW4fTBJ0C9fvqyEkCX2OAs2VNox97BGjx6N8uXLq/zEtLhq9PLvmehm7ty5qiYvsyVNnjwZYWFhmDJlSqRLzDsf0xjkl1RB/3qmFrfv6lHnbQfUru6AAvk0+C/gCapf3oh8LunRJXMJozhqe+ZEfU8pHWnudya12gs7vBuBK+dEzHjdPeDauAU0TlZ88sPBES5v14dDzryphUz6/T8BrVarYoBYZIWrjfx9yiBf/n5lERRuJ7LaGbNzjhkzRsUQGZa4+f+5TMziKPz9yERfkyZNUtnjGjVqpMqfuru7q56YL4S/u/n7MS5jWyzYsnv3brDGOeORZs2apTKD0ugTa6HzdylXRFl5jRbVH8ZZjRgxAjzWnDNnTpUm3FDkJaE22A5XVjlW+sA/8wQVy7uyMFjJkiUVAzLh+AoUKKC2VZklz1jbrONOJiwqxms58WOpWRpLz3JcLG7Do9cMwuYY7XbJPeqDJxAGprE4C18czpJv376tRJeBaOaGsHz5cjx58iSyfi9rAFPkY+Yp5ktesWJFVWmIxn8UfMkTqs+enCX3EePD8OIVMPUrZ2TOFEHpb587+OD632jilQ9/FflAfmGlAQK6V88R+MNUaE/9q0brXK0OPHoMhcYrYxoYvY0OMTQEYamwJaJxcYVT2SqxoDHeh9uV8+bNUz9jJcu8efPizz//VCVOly5dqiqp8fcvf8fGFHQKLyc0FCt+GDBv+8CBA1UaWIqUIbaJed5ZiY2/G+MTdB4/ZiwSTxJxQsR+ucTPfWXuh3PSxMlSq1atVBU4Q5Cy4QOD/bIwDFdXX758qa6jKHMPPaE2OD7qCLXF8KHAVYjvvvtOrbxy+5dB2eTB1Vd+UJBFnTp1jLZNDeEHANvdt2+fOgHFOCt+dPDDZOPGjSrLKYvacMyGcrI2+nZHc9voDH3QoEFKxCdOnBi53MOvr7FjxyrgBG9OY7EBlg9cu3ZtZJR7sWLF0K9fP/VgHj58qIoR8CW7cOECpk2bph701q1b1cNZv369UXeSI+i9BoUhXAcsmuUMwym6H19cRcfbu9AhUzGsLljfnCikLWsjoNcjZMcmBP38PRAUqI53efQeAedKkkfb2h5VTH90z5/At0/Ex78ljdXnMizcEKtLbiGy0MrXX38dLQ87/47xQ5xpR7WYgs4VzPfee09dwsDhYcOGgcHM/FDgyZ8lS5aoiRELufD3pmFGG9MRtksB5kcAjflGWIeds+CYhWD4AcHf+RTwqP4whonZQzNkiAj2nT17Nnx8fJSgJ9QGt0U//fTTSLfYbtSxMTiacQP8nU/jbD5XrlxKlI21HXWc/BipWrUqOGs3cOGEkMaJYNmyZdVqh7knp5Z8z6L2ZVTQ+TXGzHDZs2eP5h9fFr5QPD5mbuOLyQfHLyx+ifELissjfBgsTsCXjQ+C/xiYfpZflvSPHx1ckjFmSRX0kFCg77AwuLoAC6a/WVb97ulZDLx3CAOzlcPsvBJcZO53wVraC390D4HzJyH82kXlkkvDZvBo30cttYtZPwG972sEfv+NxR3VZPCGx+ej4uyXq54LFixQwjty5Eg1q23evLkSQq6AGhN0lk99++2I3ze8nzFErHPOpfx3331XzfS5qvngwQMw0Dg+o4Cy3rlhBs9ZLCdHnKjRF864WfOcxgBlCjDbMwh6mTJlVKT7+fPnI7vgMj9nwhxHQm1E7ZsNxPSHcVFcKjesOEyfPh1ZsmRBly5djLZNFqw0Rw2hHT9+HFzt5QoDZ/zs12AUe2pcmhB0fn3xiy3mWfRnz56pr8iUEPSU/FeXVEF//gIYOTEMWTIB3371RtDHPTyKSY9OYGKuqhibM/bSWkqORdq2AAGtFsGbfkTwxlWAVqvOanv0GwunYqUt0Ll0kRYIUAwp0BQVzrQ5Q2VCLWOCzkRfhtNI/B3MFVPDcWPulzPOifvC3K7kDNSYoEc9fhZV0DkD5syYk6qYFnWGbpjhGgL2uI3AfXXDDN2UNgztxwy2Mybo8fnHfCQMrGYcAhOOcX++Ro0aStA5KXz+/Hnkli5jA/hRwj37NCHon3/+uRJzvjCGLzV+9fBhBQUFmX3JPaX/ASdV0G/e0WPKLC0K5tdg9OA3STf63t2Phc8uYEG+2uiTtUxKuy/tW5CA9sZlNSvXPbijEq3wrLZbi06ANQe+WZCPdJV0Agz4YjAv974pOKxcyX1dBoYxSIvCQ4F8/Pix2uuNueTOADbGG3Hlsn///uC2JJfCaVyC52olRXX79u1GnYwpoFEFnfvfP//8s1pFYJAc97sZtBdzTxGvfp8AACAASURBVN/QP7dFeU2bNm2UgBr20E1pIymCHp9/5MmtBk5EGWvA3CYcA08KMCCaY/7tt9/Uqi7jFZiJNM3sofOF6tOnD5jTnV87fKBcTuH/Jyhb+6pJqqCfOa/HvCValC+twRc93wh6m5s7sP7Vdawr1BCfZrTdOvFJ/9Vkh3cGBSJozQ8I2f67Kk7C412clTvmMb6dY4ckZEgpRIDBu1xm5xI5g9IoMtxLNsQlMWCOEycupUdd4ubyNq9lQPDOnTvVkjj/jhHdhsh2uswZPOtuMCDOmBkTdN7HuCSKHkWSHx+MWeKMPOp9XK1llPv169dV3BOj5lm8y5BYxpQ2kiLoxvzj0jrjATgZ5YoH4woMgdWcuTPKnVu19JXL8/TR1rQsvuea4LE1ivixY8eUkPMFLF68uEr2El+gRQr9GzBLs0kV9AP/6rBqXThqVXdA58/eZIhreHUzdvrdx46iH6JBBjmSZpaHlIqNhJ08rCLY9a9fqDzm7m17qeNo0GhS0SvpWgi8IUAx5XJztWrV4sXC+CZGrnPiJZa2CCQo6PaEI6mC/vcOHTZuCUeThg5o0fSNoFe+9CtOBj7HyZKtUNEjiz2hSlNj0fu8QuCyWRElQwE4VayhItgdMsozTVMvgg0M1lhSF7rPpWjOSBkURuNqAI+2xbTvv/8eefLIJMQGHnmiXIxT0Hn4nns3jLw0GMP+ubTC/R8uVTD4Il26dInqLLUvTqqgr/89HDv26vBpM0c0rBuR1IBW4NyPuBPqj9tl2yO/i2dqD0/6TwIBZnkL+nEB9AF+6iy5R5dBcK5ZLwktyS1CIOUJxCfoPMvO6G/+TmZgGs+Gi6U9AnEKOo8JMNjBcB6Sx8S4J9O+fXu1ZzNz5kwVHUiBtyVLqqAvWR2O/07o0L2DI6pXeSPonqeWwF+nhV/F7kjvYMVZwmzpIVnI1/AnDxC4YHJk2VCXek3h3rGfqgMuJgSEgBCwRQJxCjrPQf7xxx+R57p5rpF/ZkIXGoulUPAZSWhLllRBn7VQi4tX9BjcxwmlikfspzK2wOHkDxH/v/LntoQhbfuqC0fwH2sQ/NsKICwUDtlywaPvaDiVjH72N21DktELASFgiwTiFHTm42VovyGogkcRevTooWbpNB6J4HL8xYsRiTZsxZIq6OOnanH/oR5fDXdC3twRgv4oLBC5zq5CTmcPPCwXkeNYzLoJhN++hoB5k6C7dxNwcITrR5/BvVVXwNnFuh0X74SAEBACJhCIU9CZ6IAp9ni2kZmDeOaR1c0Mke08okCRZwYeW7KkCvqQsWHw8QVmTnKG1//LmV8IfokyF9ajjFsmnCv9Jn2hLfFIM74GByFo3RKE/PNrxFG0/EXg8cVYOOYrnGYQyECFgBCwfwJxCjoFm6LO3OkMjuPBfGaNMxizEDFwjsn7bcmSKujdB4SpYS6Z4xx5gmm//0PUufIH3kmfE/uKm15D3pZ42YOvYWeOqrSf+pfPAFc3uH/aA65NWgH/r9hkD2OUMQgBISAESCDeY2vcI2aaPB7Oj3nmnHXF+XPW6LUlS4qgBwQCA0aFwcMdmPvtm8C331/fQosbW9HcuyA2Fo4olCBmPQSYvzto5VyEHozIluVUrio8eo2AQ9Yc1uOkeCIEhIAQMCMBOYeeAMzHT4Exk8OQPRswefQbQV/6/BJ63NmL7llKYkn+d834SKSp5BII3b9Vibne3xcaTy+4dx4Al9rRK1gltw+5XwgIAeshwNViVrEzZKizHs8s64kIehy8Hz0Bjp4MVz957QMwU1zRQhqMGBCR9nXGk9PY4XsP233vY2SOivgmd9z1hi37KK2nN93Thwjd+0+qOKS9cg7a/9e+dnmnMdw7D4QmveQISJWHIZ2ahQDrk3fu3FmVEjWncaWV6WZZzMUajMejWco0roIwCfmX2oKeHN8TGltifi6CHgetY6d0WLQyQtANVqm8Bn26Rgh61jMr8FwbUZpvWp4aGJa9QmKY2/W1umeP4TeuD/QvnqbaODVZsiNd75FqmV1MCNg6ARYW4famoaKZucbDMtWMjTLUQzdXu0ltZ+/eveD/kjLLTm1BT47vSeUV130i6HFQ+feYDst+CkeeXBpULBdxTC1/HgdUKBvx/zOeXobX4aFqdt4yY2FU9shqzmdis21RxP2+6gfO0B0LFIFzlTeZBi01KCaGcW3UDHCJqOMsJgSsjQBrYjAdK6t8cWZXqlQpVTCEcUmLFi1SpT9ZEOXDDz/EmDFjYlVbY/1yzmT9/f2RP39+VZyFxVyYCGz//v2RhVpYm/zy5csqq2dMY7ESVmXz9PREhgwZMHv2bNUOM9FR6Nk/q7+xchl9NZRhpW88rkzRZfZQppDNmTMnbt++rWKueH+LFi1Ud1wBGDdunKoDwmqdK1euVLlN2O++ffsQFhaGChUqqERlvJYrET4+Pqo9BmVz/OTCIGyWOu3QoQM6dYo4Isyj00xsxrZ5PY9ak4exjwHWVmc2vYMHDypfeU/UtLhx9TV//nxVC37IkCGqXyZXK1iwoGJFo88cw/r162P5zjwtM2bMiHxOX3/9dWQGv4R8Seo7a1TQWX6PxVj40tAOHDigjrDlzp1b1e718vJKar+pcp+pQXGGYiy1azigU5s3udsNTmc4tRR+ujD4VuwOT8kQp7DoXr+A/+he4AzdIW8hpJ8wHw7p/3/GL1WetnQqBCIIBOm02OX3wOI43B0cUd8zdr70Xbt2gRXVmKKVxrStefPmBRN4sbrZ0qVLldCyHGnMcqUUTJYFnTt3rgpWpiCxEhqPGPft21fNtpnpk8Za5Ky4xg+AuIwixdrhhhk622afc+bMifydn5Cgt2rVSp14oqhRZBs3bozDhw+ramYsC8v+2T7bpV7QZ+aXN5yaateundpO4DVRPxboL/PSc+bNhGYUf/bFSmrsi+NletvBgwerqnP8GXOjGBP00qVLK3969uypPhB4D6vesdBNfH2x31mzZmHt2rVKmFkVjx9hPMZNq1mzpqpFz+p3hg8dwzNt27atKkFLP3n8m8+bH1JkYMyX5LyoRgWdkPlVwb0blsTjw+IXCR3n1yS/rGzJTBX0PQd1+PnXcNSt5YB2rWILerpTSxCo0yKgYg94OLwpp2pLLMzpq873FfxH94buyQM45MqH9F//IGJuTsDSVrII3A31R/5zPyarjaTcnN8lPW6X7RDrVgZvsWIaf7dSEAzGv+Ps1pBy2/D3MeuhsyQoK6rRWP+ckyuKCj8UWJiF9dSfPHmiZtecCcdXGTMuQefveIqWwRIS9FGjRoF11A3G+9k/xW/48OHKL2NGDeEHCccYU9DJg/3zo4PGjxju+VPM+UHAmTZXF2hcYeDsPiFB56TUUCqVqwdceaCwx9cXy4fzGfEjhSsWXFW5cuWK6oelb1kHnqVaY/rOiS+PfXOFxWD8wJk+fbpakaGgx+dLUt41wz1GBZ2dMnkMa+3yK4XLFFOmTFHgGjZsiKNHjyanb4vfa6qgsxALC7I0qOOANi1iC7rryUUI1esQXKknXDWxf27xgaVih0rMx/WF7uFdOGTPjfSTf4BDhoyp6JF0LQSiE3imDUK325ZPU53VyR3LCtSN83GcOHFC5feg8HKWyNll8+bNlVAw9XZUiynoXI5+++231SW8n3XTWdebS/nvvvuumulzJvjgwQNVTz0+i0vQOXuNOqOPKehcWuZHhGHJnTXSo+Yj4SSQy9R3795Vqw2GdOEGH4KCgtS4z58/rz407ty5o1YSunfvHksUyYOzby7X07j0zQ8GzrJZU4RtGIzbC1x+T0jQeY/m/+WQeW2xYsXAmXR8fZEfl/q5EsCx80OKE1qKube3t9rSGDt2bCzfqZNZsmRRqwEG43NkW3Xr1lWCHp8vyfn3a1TQ+WD5hcUlHjpBaATA/RrWRI8KNDlOWOpeUwV96y4dfvszHO/Vd0DLj2ILttOJHxAOPbSVe8MRabdWts7fF/5jer8R80kL4eCd2VKPU/oRAjZPgL9DKdDbtm1TM23OvjlZMiboH330EZo1i0hmderUKSUohpkw98sZtc5959GjR0fufccFaujQoSqdd9Ql9169eimxNBhn6xQ1w0cG98z5EWEQdM44uaxsMIOgBwYGqvv4YRHVvv32W/BnnB07OTmpJfSsWbMqQefS/YULFyJFmbNmin1cUe+cWTOOwBAoyOVsLvknJOhs32BRBd1YX/xAcXNzU8vunI1zv59+c++eqwdcUYnpu2GVxNgMPT5fkvNSGxV0bvyzEAuXOZgKlksehpeIX5V8CW3JTBX0Ldt02PR3OJo2dkCzJrEFXXPiezXstFyURR/oD7+xfVRedCZrST95kYi5Lf1jEF9TjQBLUFMguNTM4DMuxW7cuFEt6W7YsEEtWVOoHj9+rDJ1xpyhUxC5pOvi4qKKZHGSxWVoGmfPDDqjuDEGyphxyZ8+cO+dFldpVi6bU8y5182JHAW+YsWKCQo64644m6ZO8AOFS/CcGVNE+XuYM1d+GHB2bJihc1+as/pVq1Ypf7ivzY8Fzug5G+Y+PLd6uWRuGDeXvPn3TEVeo0aNJAu6sb6OHTumguCyZ8+ung2NH0JcYaCQ07eYvnOFgsw4CWYgILWSsQn8IDDsoVtc0LmEQ4cp6Fx6MSx9cKmdD4h10W3JTBV0ijlFnWJOUY9qOujheOIH8G/D02iVNYq5/4T+CL91FZpMWeFJMc+czZZeBfFVCKQaAQaFUej4+5VLtxRSCiV/z3733XcqYI7iyaV0znJjCjoFlUFYXI7mbJpiw21Rg3EGT8Hh0rQx40yTe8QMEGO/jMiOOUPnkjhXDjibZh/sm1uvCc3QecyOy9EM2mMbXOXl8jsDygYNGqTGnidPHiXCFHrO0PkzFgFjxDw/MrhasWLFCiXy/PDhxweX+Dk7f/bsmYpyZ5rybNmyKS1inFdSZ+jkFF9f9ItxZHxmFGkaYwe4umJYgYjLd8Y00F9uMzAwjh9QFHcal9wtLuip9sanUMemCjqX27nszuV2LrtHtTC9Di4nF8FZ44DQSr1SyFPrbVYfHAj/r/q9EfOJC+GQLaf1OiyeCQE7IkBx5/IwI7PjM+7zLly4MLJaph0NX4aSAIEEz6HzC4hRffxCimn8grIlM1XQ120Mx859Onza3BEN340u6DwC43FqCdw0jgiq9CbgwZY4JNVXfUhwxMz8+kVovDJFzMxFzJOKU+4TAokmENeyeNRGuHTMSPfVq1erv+ZqQNSz1oZruRfOGbK9WVobb8znZ1TQeR6S6/48i849n5gWNRjCFl4MUwWdR9Z4dK1dS0fUrR1d0P11YfA8tRTpHJzgX7GHLQzbLD7qQ0PgP2kgwq+cg8bTW0WzO+awv18IZoEljQiBFCIQn6DzLDuTpqRLl06dd+YSr1jaI2BU0HmUwrCpbw9oTBX0VevCVf52JpVhcpmo5hMeCu/Ty+Dl6ILXFbrZA5YEx0AxD/hmGLQXTkaI+cQFcMwdkWxITAgIASEgBKyDgFFB51E1pq+zFzNV0Jn2lelfu7V3RI2q0QX9ZXgIMp9ejkyOrnhRoau9oIl3HHptGAImD4kQ83SeKmmMiLndP3YZoBAQAjZIwKigM+KRZySNBWDY0phNFfRFq8Jx7KQOvTo5omql6ILOJBXZzqxEVic3PC3fxZaGn2hf9eFaBHw7Atoz/wHu6eA5aSEc8xVOdDtygxAQAkJACKQ8AaOCzuMGPDrBNHs8RM/8vFGN2XBsyUwV9IXLtDh5Vo8+3ZxQ6f/FWQzjfBwWiJxnVyGHkzsele9sS8NPlK9KzGeMhvbEISXm6b+aC6dCxRPVhlwsBISAEBACliNgVNCZt515h2vVqhVnUBzPJ5rbmFiBgXg818eEBBMmTIj1IcE+mVyBWYp4HpMH9ZmRJ2aGpZi+mSro3y3S4txFPfr3dEK50tEzwd0P80fesz8it3M63C/X0dzDt4r29LpwBEz/MkLMXd1VoRURc6t4NOKEEBACQiBeAkYFnUkLeDje3HV44/Pm1q1b6Nixozp2wWQBzDXMyjqM7IxpPItZsmRJlRiByRlMMVMFfdZCLS5e0WNwHyeUKh5d0O+E+qHAuZ8QX+EFU/yw5mv0Oh0CZ49D2H97VQlSNTMvWtqaXRbfhIAQEAJCAIBRQWe2IQq6pWzx4sXw9fUFcwzTmMaQGXmYOSmqMQMR8xRzNp8YM1XQp83V4uoNPYb3d0KxwtEF/WaILwqf/xmFXDLgRtmIrEH2YkrM509C2MEdEWI+ZjacSpSzl+HJOISAEBACdk3AqKAvWrRIDZ7nG5k3OKWNaQ5Z9IUlBGmsrsM/M598VGPSBFa8YfpZVthhOj0mT2DeY2NmiqAzun3jlnC8eg1k+fw83DJoozXJKPd5T8+hmKsXrpRpm9JIEmw/7NgBlbXNHBZ++xrCjh8EnF2QftR0OJWpbI5mpQ0hIASEgBCwAAGjgs4I9/379ysxZ0WcmKKeUPL/xPrPEnWsXtOkSZPIWynC3Mc3lLzjD7h3zoxIzHZUokQJleuXhQ1YsMBgce2nM0fwtWvXjLo1c4EWl67q1TVrO61EoD66oBtuLuHmjUulP0vsEM1+fcC0kREibEZTM/NyVc3YojQlBISAEBACKU3AqKBTJI2ZuYuzcBmdlX0MKWU5A2cJ15hlWlmbnYFwhgpDLC7AmTzT/kUV/pi+mzJDnz5PiyvX9ahZzQHdSixWTXyVs0osDNmc3dEna5mUfj4Jtu83qjvCb1yGS8NmcPBKfh1yp1IV4VSmUoL9ygVCQAgIASFgXQQSzOVuSXc5w2ZJPe6b086ePav2ymPW1GUFuDNnzqjqNTRGxLNqz4kTJ4y6a4qgfzNHixu39BjcX4PSr5fAReOAECsuwuLTuxn0L5/D6/uN0EjFM0u+rtKXEBACQsCqCBgVdJbzW79+PbZs2aKElkfEaAcPHlTFWljv1px2//59VR+XheQNUe6s9cuat/v27cPDhw9V7VwfHx+wohDL8ZUqVQrc62cpOkO99vh8MkXQJ8/U4tZdPb4YFI4KL1bA29EFr6w0xStrA/t8WlsN12vNXmicnMz5OKQtISAEhIAQsCECRgV9/vz5Sszbt28PJpFhIBrt+PHjGDdunNrHNrexv6lTp6p6wHXq1FH9cu+eheVZ9Y01e2nc2+cMnR8WZcqUweTJk5ElS5Zkz9AnTtPi7gM9eg0KRbUXq5HT2QMPy3Uy9zDN0p7e5xV8enwITQZveC3dYpY2pREhIASEgBCwTQIJFmdZtWqVqqsbtSD7q1evwMItMfe2rR2BKTP0cd9q8fCRHp2HBKL2szVWfTwt/PZ1+A3vDId8hZBhRkS5RDEhIASEgBBImwSMCjpnvkeOHFGJZaIKOmukM3CNQWi2ZKYI+ujJYXjyFGg3zA/1nqxHGbdMOFf6U6scpvb0EfhPGaoi0hmZLiYEhIAQEAJpl4BRQe/Ro4fK484UsAZBf/36NXi8zMvLC7Nn25aImCLooyaG4dkLoOXwV3j/8QZU9ciKoyVbWuUbErrnLwR+/w1c6rwPj76jrdJHcUoICAEhIAQsQ8CooD969EiJOZfY7927p/aqOTvn2e+FCxcmuGdtmSGY3ospgj58fBhevgI+GvEMHz/6A3XS58Le4h+b3okFrwzeuBrB6xbDtVl7uLftbcGepSshIASEgBCwNgImHVvjcTAKOc97FylSxGbLqZoi6EPGhsHHF3hv5CO0evgX3suQF/8UbWptz035E7R8NkK2boB75wFwbdLKKn0Up4SAEBACQsAyBEwSdMu4kvK9mCLoA78Mg38AUHfUPbR/sA3NvQtiY+H3Ut65JPQQMHM0wv7bh3QDJ8K5Zr0ktCC3CAEhIASEgL0QiCXoY8eONXlskyZNMvlaa7jQFEH/YmQYgoKAmiNvodvDXWiXqSh+KtjAGtyP5YPfmN4Iv3oe6ScsgFPJ8lbpozglBISAEBACliEQS9C/+eYbk3s2ZHQz+YZUvtAUQe8zLAyhoUDlUdfQ58E+dM9SEkvyv5vKnsfdvW+/VtA9fYQMc9fBIUceq/RRnBICQkAICAHLEJAl9xicew0OQ3g4UGbUZQx6cBD9s5XFd3lrWeZpJLKX15/VAZ31Wr0DGjf3RN4tlwsBISAEhIA9EUhQ0IOCgrBjxw4V5c7CJ/nz51cV0VxdXW2Ogykz9O4DwtS4iow8j1EPj2BEjor4Nnd1qxurPsAPPl3eB9w84L16u9X5Jw4JASEgBISAZQkYFXRGt3/++efIlCmTim5nbnemX6XI//DDD+qMui1ZQoKu1wM9BkYIeu4RpzHx0XGMz1U1zmprqT1u3f3b8B3cXi21c8ldTAgIASEgBNI2AaOC/tFHH6F58+bo0qVLNEoLFixQs/ZNmzbZFL2EBF2rBXoPCYOjI+A1+DimPzmNaXlqYFj2ClY3Tu35E/CfOEAFwzEoTkwICAEhIATSNgGjgl6yZElVktTDwyMaJT8/P7z11luRxVpsBWFCgh4SCvQdFgYXF8DhiyNY8Ow85uWthX7ZylrdEEMPbEfgvIjjajy2JiYEhIAQEAJpm4BRQW/YsKEqUZovX75olJhkpm/fvti2bZtN0UtI0AODgC6TX+J2savQVr2Hk4HPsSx/XXTNUsJqxqm7fwuhh3dDe/0SmMvd9YPWcO/U32r8E0eEgBAQAkIgdQjEEvRnz54pTxwcHPDvv//ip59+Qp8+fVCgQAGw/vaNGzdU2lemhGV5U1uyhATdzx9oPf8OtjZ8UxZ2bcGGaJOpiNUMM3TnHwhcPD3SH/d2n8P143ZW4584IgSEgBAQAqlDIJagU/RMsbx582L37t2mXGo11yQk6K99gDaLbmFb/a0o6uqFtpmK4tNMRVDSLaPVjCH4l2UI/m0FnMpUhlOJcnCuUguOhYpbjX/iiBAQAkJACKQOgViCHhAQYLIn6dKlM/laa7gwIUF/8Qr4bOkN7Ki3HU298mNzkSbW4HY0HwIXT0Pozj/h0XMYXBpYZ9EYq4MmDgkBISAE0gCBBM+h2xODhAT96XOg3cpr2Fl3Jz72LoBNhd+3uuEHTB2BsBOHkG74t2p2LiYEhIAQEAJCgAQSFPTTp09j8eLFuHbtmtpD53n0bt26oWrVqjZHMCFBf/QEaP/TVex+dxdaeBfEBissyuI3qjvCb1yG5zdL4VjYeoL1bO5lEIeFgBAQAnZGwKig//3332Cxlo4dO6J06dIqU9z58+exevVqfPXVV+A5dVuyhAT9wSM9Oqy7ij3v7EbrjIWxvlAjqxueT+/m0L98Bq/vN0KTOZvV+ScOCQEhIASEQOoQMCrojRo1wujRo2NFs+/duxdTpkzB9u22lXI0IUG/e1+PTr9ewd539uCzTEWwpmDD1Hkq8fTKFRKfT2urn3qtP6A+sMSEgBAQAkJACCS45M7EMsePH0fM4Dd/f39Uq1bN7hLL3LqjR5dNl7Gv1l60z1QMPxasb1Vvid73NXy6N4Umgze8lm6xKt/EGSEgBISAEEhdAkZn6PXr18fkyZNRvXr04iQHDx4Ea6HbW2KZ6zf16LblEva/vQ+dMhfHygL1UvfpxOg9/M51+A3rDMd8heE5Y5VV+SbOCAEhIASEQOoSMCro69atw+zZs1UQXKlSpVRQ3MWLF1X2OC7Ff/yxbR2bSmjJ/cp1Pbr/cwEHax5A18wlsKxA3dR9OjF61545Cv/Jg+FUvhrSj55lVb6JM0JACAgBIZC6BBKMct+zZ48ScGaI02q1KF68uBL4unWtS+xMwZiQoF+8okfPnedxqPpB9MhSEovzv2tKsxa7JnTvPwhcOBkudd6HR9/RFutXOhICQkAICAHrJ5CgoFv/EEz3MCFBP3dRj957zuFw9UP4PGtpLMz3jumNW+DK4E0/InjNIrg2aw/3tr0t0KN0IQSEgBAQArZCwKigM/Dtjz/+QM6cOW1lPEb9TEjQz5zX4/P9Z/DvW/+iX9YymJcvIqLcWixoxRyE/PMb3DsPgGuTVtbilvghBISAEBACVkDAqKC/++67mDt3LsqVK2cFribfhYQE/eQZPfr+expHqh7BgGxlMSevdWViC5g1FmFH9iDdoIlwrmFdAXvJfzrSghAQAkJACCSHgFFBZ/GVRYsWYerUqaramq1bQoJ+7KQO/Y6dxtEq/2Fw9vKYmaemVQ3Zf1wfaC+fRfqJC1VhFjEhIASEgBAQAgYCRgWdZVMvXbqE+/fvI0eOHHB3d49GLiUSy2zYsAFz5sxBaGgoWI99woQJcHR0jPeJHThwAF27dsXhw4eRNWtWo082IUH/95gOA06dxLHKxzAsewVMy1PDqt4U3/6fQvf4ATLMXQeHHHmsyjdxRggIASEgBFKXQIIzdGPu1atn3mXfW7duqTSzPC6XLVs2DBkyBBUqVFCCHZcxwQ2vDw4OxqpVq5It6If+02HguRM4XvE4RuWohCm530rdpxOj99ef1QHCw+G1Zi80Tk5W5Zs4IwSEgBAQAqlLwKqi3FkExtfXF0OHDlVUuDowatQobNq0KU5K/FnNmjVV8Zjly5cnW9D3H9Zh8MXjOFHxBMbkrIxJuaql7tOJ2ntQIF53agS4ecB7tW2l3LUeiOKJEBACQsB+CcQr6CzMwj308PBwNG3aFMwal9L25ZdfokqVKmjRooXqKiQkRP353Llzsbret28ffv31V8yfPx/vv/++KhgTdcldp9PFuodn6Fk17rUPsO9weKyffx92HGedHuFR9kcYn6sqvspZJaWHbFL7wb8sgz4wACF//wKHXPmQYc4ak+6Ti4SAEBACQiDtEIhT0CmU48ePR8uWLVUBEM6QWYylSZMmKUpm8ODBaNCgQbR+uO999erVaIVI/Pz80K5dO6xcuRKZMmWKU9AbN24cy9ebN28qQb95W48ps7XRfu7n6Ydfmq+P/LuJuapirBUIuu7ZBKYkxwAAIABJREFUY/j2bRnpl1Opikg/fl6KPgdpXAgIASEgBGyPQJyCzpSu7du3R6tWEWedd+3ahRkzZuCff/5J0REynWz58uXRunVr1Q/3yJlHniVbo9qIESPAI3WcmdPimqHH5aghKO7qDT2mzdUicyagZjUHdelZlwcY5/0XcmozoJlbUXxWOC9qp0/98/dhxw4gYPooNTN3qVkfjnkKwLlmyq+WpOiDlsaFgBAQAkLA7ATiFHQGolG8DQllmPK1TJkyaunb2dnZ7E4YGuQ++JMnT9S+uRLZs2dVzvjNmzdH65O12V1cXCL/LiAgQFWEY0S8sRrtBkFnitdZC7UoVVyDwX0igssWP7+IXnf2WV3K1+DfVoBL7q5N28C9Y78UYy8NCwEhIASEgG0TiFPQKXynT5+OVja1cuXK4L569uzZU2zEPB7Xtm1brF27NjLKvVixYujXrx+4Z/7w4UN89tlnsfpP7Az97AU95i7WomwpDQb0ihD0Eff/xbQnp/FN7rcwMkelFBtjYhsOmDEaYUf3waPfGLi8815ib5frhYAQEAJCII0QiFfQu3TpEm02zmNh3FOPWht92LBhZse0ZcsWlciGR9Hq1Kmj9u45G1+yZAmuXLmilv5jWmIFnRnhFi7XomI5Dfp2ixD0lje2YcPrm1hfqCFaZyxi9nEltUHfL1pD9+QhPKevhGN+6/ErqeOR+4SAEBACQiBlCMQp6MOHDzept2nTppl0nbVcZFhyP3pSh8WrwlG1kgN6dYpIWlPp4q84FfQcx0u2RGUP4wlqLDUefUgwfDo0ADQaeK3dB41DxH6/mBAQAkJACAiBmASs6hx6Sj8eg6AfPqrD8p/DUaOqA7q1jxB0t5OLEaIPx8sKXZHR0TWlXTGp/fAr5+A39nM1M+cMXUwICAEhIASEQHwE0qSgH/hXh1XrwlG7hgM6tXHEc20wsp5ZAU8HZ/hW7G41b0vI9t8RtHSm2jvnHrqYEBACQkAICAERdACGGfqeAzr8/Fs46tZyQLtWjjga8BRvXd6ASh5ZcKKk9ZQlDVw8HaE7/1DR7YxyFxMCQkAICAEhYLKgMzOcsWIotozSIOg79uiwflM4GtRxQJsWjlj78hra3tqJlhkL4ddCsRPSpNaY/Ub3Qvi1C0g/dg6cylpH1rrUYiH9CgEhIASEgHECsZbcmQ3uxx9/RObMmVVCGUukfLXUQzII+j87ddiwORzv1XdAy48cMfnRCYx5eBTDs1fAVCuqsPa6fX0gNAReK/6BJp2npTBJP0JACAgBIWCDBGIJerly5XD06FG4ubmhatWqOHbsmA0OK26XDYK+eZsOf/wdjqaNHdCsiSO63t6DFS8uY1H+OuiZpZRVjFf36B58B3wGTcYs8FoUd3Eaq3BUnBACQkAICAGrIBBL0Fmq1MnJSVUxmzVrFoydNe/QoYNVDMJUJwyCvumvcGzZrlNiTlGvc2UT9vs/wo6iH6JBBuuoMx52ZA8CZo2FU4XqSP9l7LP3po5ZrhMCQkAICIG0QSCWoL98+RLLli3D9evXceDAAZVLPT5jqlZbMoOg//ZnOLbu0qnldi675z27GvfDAnCjTDsUcs1gFUMKXrcEwRtXwbVZe7i37W0VPokTQkAICAEhYL0EjB5b6969O5YuXWq93ifSM4Ogr9sYjp37dPi0uSPq1QGcTi6CAzQIrdQTjhrrSN4SMHUEwk4cQroB4+H8doNEjlQuFwJCQAgIgbRGwKigh4aGRiuCYutwDIL+0y/h2HtIh3YtHZGjqg9KXViHgi6euFm2vdUM0afPJ9A/f4IMs36CQ54CVuOXOCIEhIAQEALWSSDBxDIs0rJ48WJVR1yv16NIkSLo1q2bCpizNTMI+sq14Th4RKeSyviWuoem1/9GA8882FHsQ6sYkj7ADz5d3gccneD1825J+WoVT0WcEAJCQAhYNwGjgs7qamPHjkXHjh3BkqUajUbVJl+9ejW++uoro6VKrXHYBkFf9lM4/j2mU2lfj+W/gAH3Dqrodka5W4NpL56C//gv4FioODy/XWYNLokPQkAICAEhYOUEjAp6o0aNVD1yVj2Lanv37lVV0LZv327lw4vunioLe+YaxizyxT6vi6hc3gGX0j3AoYDHmJq7OobnqGix8egeP0Do/q1x9hd++xrCjh+ES72m8Og90mI+SUdCQAgIASFguwSMCnrJkiVx/PjxaCVTOVR/f39Uq1YNFy9etKmRU9APHrqGHosfYPP7f0bz/ddCjdAyY2GLjYeCHTDNuFi7dx0E1/c+sZhP0pEQEAJCQAjYLgGjgs4scZMnT451dO3gwYOYNGkStm3bZlMjp6Dv3X8VvVbcw1+N/0JeR090zVZcjaFblpLI65LeYuMJPbAdgfMmqkpqzlVrx9mvS+1GcMiZ12I+SUdCQAgIASFguwSMCvq6deswe/ZsFQRXqlQpFRTHWTnPqXMp/uOPP7apkVPQd+6+it4/38HWhv+gYYY82F40dQLhIiupNWwGjx5DbYqjOCsEhIAQEALWRyDBKPc9e/YoAb9x4wa0Wi2KFy+uBL5u3brWN5oEPKKgb91+FZ//ehM76m/HB175saVIk1QZR8ifaxD000K4ftQW7u37pIoP0qkQEAJCQAjYD4EEBd1+hhpRPnXL31fR989r2PXuLjT3LoiNhd9LlSEG/7IUwb+thFvrbnBr2SVVfJBOhYAQEAJCwH4IpDlB37T5Kvr9cxV739mNNhmLYG2hhqnyNINWzUXIX79IrfNUoS+dCgEhIATsj0CaE/TfNl1F/52XsL/WPnTMXAyrCtRPlacauGgqQndthkfP4XBp8FGq+CCdCgEhIASEgP0QSHOCvv63qxhw4AIO1jiA7llKYkn+d1PlaQbM+Qphh3chXf+v4FwrdVYJUmXg0qkQEAJCQAikCIE0J+g/r7+CQUfO4fBbh9Ena2ksyPdOioBNqNGAb4cj7ORhpBsxFc6V307ocvm5EBACQkAICAGjBIwKuk6nw/r167FlyxY8efIEO3fuVI3xHHpAQAAaN25sU3gZFLfq5ysYfPI0/qv6HwZmK4fZeVNHTJnalSle0381F06lK9kUR3FWCAgBISAErI+AUUGfP3++EvP27durVK+GzHDMHjdu3Dgw17stGQV92aorGHL+JI5XPobh2Stgap4aqTIEv5HdEH7zCjy/WQrHwiVSxQfpVAgIASEgBOyHgFFBr127NlatWoVChQqp4iwXLlxQI3/16hX4MxZqsSWjoC9afgXDrh7DyQonMTZnZUzMVS1VhuA7sC10D+8iw5w1cMiVL1V8kE6FgBAQAkLAfggYFfQyZcrgyJEjSJ8+fTRBv379Olq3bo2TJ0/aFAkK+sLFVzD89lGcLncKk3JVw5iclVNlDD69mkH/6jm8fvgdmkxZU8UH6VQICAEhIATsh4BRQe/RowfKlSuHL774IlLQX79+jcGDB8PLy0ulhbUlo6DP/f4KRj74F2fLnLV4hbWorF53agQEBcJ75TbAI50tYRRfhYAQEAJCwAoJGBX0R48eKTHnEvu9e/fAGTtn5yVKlMDChQuRJUsWKxxS/C5R0GfNv4JRTw/hQqnzKiCOgXGpYa8/rQ3o9fBatx8aB4fUcEH6FAJCQAgIATsiYNKxtRMnTighDw8PR5EiRVTp1JSyDRs2YM6cOQgNDUXDhg0xYcIEODo6Ruvu+fPnmDp1Kg4cOABnZ2e88847GD9+vPr/xoyCPm3OZXzpcwCXi1/Cgny10SdrmZQaSvzthgTjdYcGgIsLvH/abfn+pUchIASEgBCwOwJGBX316tVo3rw5PD09LTLwW7duoWPHjmCVt2zZsmHIkCGoUKECunbtGq3/U6dOgdd+9NFH4NG63r17g6Ve27Vrl6CgT5lxGWOC9uJq0atYmv9dVTbV0qb3eQWfHh9Ck8EbXku3WLp76U8ICAEhIATskIBRQWdk+/bt25E7d26LDH3x4sXw9fXF0KER5UQvXbqEUaNGYdOmTUb7X7FiBe7fv4+xY8cmKOiTpl7GWO1uXC98HasL1EeHzMUsMraonegeP4Bv/0/hkC0XMsz/xeL9S4dCQAgIASFgfwSMCvrAgQNRtmxZVS7VEvbll1+iSpUqaNGiheouJCRE/fncuXNGu+/fv7+aoUetzx4WFhbrHtZ0z/vNTzjtfQuvMr7C+kIN0TpjEbMOTXv5LLRnjxltU+f7CqHbN8GxQBF4Tltp1v6lMSEgBISAEEibBIwKOpe2x4wZg5IlS+Ktt96Cu7t7NEpNmzY1KzVGzzdo0ABNmrypUc5976tXr0Kj0cTZF7PWMdqeGe2cnJwir4nahuEvr127huvrBkde83vh99DMu6BZxxD8yzIE/7bCpDYdS5SD58SFJl0rFwkBISAEhIAQMEbAqKA3a9bMKL2ElsITi3706NEoX768OuNO8/f3R/Xq1eNNYHP27FkMHz4cXHLPmTNngt3x48Bz1I9gjF2ttxzwecFiKObqneB9ibkg6KeFCPlzDZzKVYVTMeMBdw45csPlndSpx56YMcm1QkAICAEhYP0ETIpyt9Qwli9frnLGc9+cRsGmyG/evDmWC5cvX8agQYPA9LSFCxc2yUUKep0mF5HBE5j1tfGIeJMajOOioOWzEbJ1A9y7DoLre58ktRm5TwgIASEgBIRAoghYlaAzsK1t27ZYu3ZtZJR7sWLF0K9fP+zbtw8PHz7EZ599hhs3boD75t999506RmeqGQTd2wuYMTFlBD3w+28QuucvePQeCZd65t2SMHWccp0QEAJCQAikPQJGBf3mzZv45ptv1B42A9SiGs+GHzp0yOzEWAyGZ8yDg4NRp04dVRTGxcUFS5YswZUrVzBjxgw1M+d1DlESsri6uqoZvTEzCHqmjMC08Skj6AHfjUfYoZ1S59zsb4Y0KASEgBAQAsYIGBX0Nm3agCLIvfQRI0YoceX575UrV2LmzJlg1LgtmUHQs2QGvh2XQoI+bSTCjh9EuqFT4FwtdWqt29IzEV+FgBAQAkLAPASMCjqPrB07dgxubm5gRDtnxTQWZZk2bZpKAGNLZhD0bFmBKWNSRtD9vx6kjq2lHz0LTuVTLqOeLXEXX4WAEBACQiDlCRgV9Bo1auCvv/5CpkyZ1Blv7m17eHiotKwVK1aMLKea8m6apweDoOfIBnw9OmUE3W9cH4RfPov0ExbAqWR58zgurQgBISAEhIAQSICAUUHnuXDuY1PMDTnVO3fujN27d6s66bt27bIpwAZBz5VDg4mj3pxZN+cg/EZ0Rfitq/D8dikcC5UwZ9PSlhAQAkJACAiBeAkYFfSXL1+qPO4sesLjZD179sTFixfh7e2tgtMo9rZkBkHPk0uD8SNSRtB9B7WD7sEdZJj1IxzymDdpjS2xFl+FgBAQAkLAsgQSfWzNz88P6dOnjzdzm2XdT1xvBkHPl1uDccNTSND7fALd8ycqRztztYsJASEgBISAELAEgUQLuiWcSqk+DIJeIJ8GY4akjKD7dG8Kve9reC3+ExrvTCk1FGlXCAgBISAEhEA0AkYF/fbt25g4caJKvRoQEBAL3YULF2wKp0HQC+XX4MvBKSPorzs2BIKD4L1yG+CRzqb4iLNCQAgIASFguwSMCnr79u2RPXt28L/p0sUWJ2ZxsyUzCHqRghqMHJhCgt66lkLivXYfVNJ4MSEgBISAEBACFiBgVNDLlSuHw4cPqz1zezCDoBcrrMHw/ikg6NowvG5bF9A4wHv9fntAJmMQAkJACAgBGyFgVNBr1qypksnwHLo9mEHQixfVYFg/8wu6PsAPPl3eB9w84L16uz0gkzEIASEgBISAjRAwKujLli0Da4izJro9zNINgl6quAaD+6SAoL98Dp/ezaDxygivJbErxNnIOyFuCgEhIASEgA0SiCXojRo1ihyGk5MT7ty5A51Oh6xZs6oUsFFt+3bbmoUaBL1MSQ0G9ja/oOseP4Bv/0/hkDUHMiz4zQZfB3FZCAgBISAEbJVALEFnFjhTrV69eqZeahXXGQS9XGkN+vc0v6AHr1+K4A0r4ZCnADLM+skqxixOCAEhIASEQNogkCbPoZcvo8EXPcwv6D69m0P/8hkcCxWH57fL0sYbJKMUAkJACAgBqyAQp6D/+uuvyJEjB2rXrh3p5OnTp1UJ1UePHoEz88mTJ8d5lM0qRhWPE4YZeoM6DmjTwvxHyl53agQEBcKjx1C4NGxmzSjENyEgBISAELAzAnEKOkul9u/fH4b9dFZXq1+/vjqP/tZbb6la6GXKlFECb0tmEHSKOUXd3Pb609qAXg+vdfuhcTB/++b2V9oTAkJACAgB+yEQp6CXL18ef/zxBwoUKKBG+ueff6o/M+qddu7cOSX4e/bssSkSBkFv29IR9WqbWXBDgvG6QwPAxRXeP9lWFTqbeojirBAQAkJACMRJIE5Br1SpEn777TcUKlRI3dSmTRv06NFDzdJpL168UMvxrLxmS2YQ9PatHfHu2+YVdL3PK/j0+FCOrNnSCyG+CgEhIATsiECcgt6tWzfkypULAwcOxNatW7F8+XLs2LEDDv9fRr5+/boS+ePHj9sUCoOgd2rjiNo1zCvokUfWsudChnm/2BQXcVYICAEhIARsn0Ccgk7Bpqg/fPhQBcctWLAATANrsN9//x0MnFuzZo1NETAIeue2jqj1lnkFPfz2NfgN7wLHAkXgOW2lTXERZ4WAEBACQsD2CcR7bE2v1+P58+fInDlz5MzcMNybN2+CPy9cuLBNETAIetd2jqhZzbyCrr18Fv7j+sCpRDmkn7jQpriIs0JACAgBIWD7BNLkOfTuHRxRvYqZBf3UEfh/MxROFaoj/ZczbP/NkBEIASEgBISATRFIk4Les5MjqlUyr6CH/bsbAbPHwblGPaQbNNGmXgJxVggIASEgBGyfQJoU9N6dHVGlonkFPXT3FgT+8C1c6n4Aj89H2f6bISMQAkJACAgBmyKQJgW9TzcnVCqnMeuDCvn7FwStnAvXJq3g3nmAWduWxoSAEBACQkAIJEQgTQp6v+5OqFDWvIIevHEVgtctgVuLTnBr0yMh7vJzISAEhIAQEAJmJZAmBZ2V1lhxzZwW9PP3CPnjZ7i37Q3XZu3N2bS0JQSEgBAQAkIgQQJpUtBZC5010c1pQctmIWTbRrh3GwzXxi3M2bS0JQSEgBAQAkIgQQI2K+gbNmzAnDlzwMIxDRs2xIQJE+DoaLyCmuEc+uA+TihV3LyCHjj/a4Tu3wqPvqPhUuf9BMHLBUJACAgBISAEzEnAJgX91q1b6NixI9atW4ds2bJhyJAhqFChArp27WqUjUHQh/ZzQomi5hX0gBlfIuzofqQbOhnO1eqY8xlJW0JACAgBISAEEiRgk4K+ePFi+Pr6YujQoWqAly5dwqhRo7Bp0yaTBH14fycUK2xeQff/ehC0Z48h/ZjZcCpXNUHwcoEQEAJCQAgIAXMSsElB//LLL1GlShW0aBGxVx0SEqL+zLKuBgsICIjFibP4ybWHqTzumTKaV9BD9vwF/Yun8Jy8CI5FS5vzGUlbQkAICAEhIAQSJGCTgj548GA0aNAATZo0iRwgl9OvXr0KjSZCqJs1axZr8BcuXMCxitkThJKcCzLM/BEOeQsmpwm5VwgIASEgBIRAognYpKCPHj0a5cuXR+vWrdWA/f39Ub16dZw/f94oAIr+r52Ho0BeB7i5JZqVSTe4NmkNTXpPk66Vi4SAEBACQkAImIuATQo667M/efJE7ZvTzp49C4r85s2bExT0a9eumYudtCMEhIAQEAJCwGoI2KSg379/H23btsXatWsjo9yLFSuGfv36iaBbzasljggBISAEhIAlCdikoBPQli1bMHXqVAQHB6NOnTqYMmUKXFxcRNAt+fZIX0JACAgBIWA1BGxW0JNCkHvosuSeFHJyjxAQAkJACFg7ARF0a39C4p8QEAJCQAgIARMIiKCbAEkuEQJCQAgIASFg7QRE0K39CYl/QkAICAEhIARMICCCbgIkuUQICAEhIASEgLUTEEG39ick/gkBISAEhIAQMIFAmhN0E5jIJUJACNgIATm1YiMPSty0CIE0JegWISqdYP78+ciTJ0+c+fQFT8oQ6NSpk8rFkDt37pTpQFoVAkLA6gmIoFv9I7I9B0XQLf/MRNAtz1x6FALWRkAE3dqeiB34I4Ju+Ycogm555tKjELA2AiLo1vZE7MAfEXTLP0QRdMszlx6FgLUREEG3tidiB/6IoFv+IYqgW5659CgErI2ACLq1PRHxRwgIASEgBIRAEgiIoCcBmtwiBISAEBACQsDaCIigW9sTEX+EgBAQAkJACCSBgAh6EqDJLUJACAgBISAErI2ACLq1PRHxRwgIASEgBIRAEgiIoCcBWlq+5fnz55g6dSoOHDgAZ2dnvPPOOxg/frz6/zqdDpMnT8aWLVvUnz///HO0a9dO4Xr58iWGDRuGs2fPIlOmTCqrWeXKldMyykSPnXzbtm2LokWLYtKkSQlyJeuRI0fi2bNnKFGiBGbOnIls2bIlul+5QQgIAdsgIIJuG8/Jarw8deoUbt26hY8++kgJeO/evVG/fn0l3L/++is2b96MxYsXIzAwEG3atMGsWbNQpkwZDB06VKUlHTBggBJ1/nfbtm1wc3OzmrFZuyPLly/Hvn37kC9fvkhBj48rP6gaNmyoPrb40bVq1SocPnwYixYtsvZhin9CQAgkkYAIehLByW0RBFasWIH79+9j7Nix6NatGzp37ozatWurn61cuRKPHj3CiBEjUKVKFRw6dAju7u7qZ5y9t2rVCvXq1ROUJhDgRxTFm4z//fdfJej8oIqPa+bMmfH111+rjywar61RowZ27twJT09PE3qUS4SAELA1AiLotvbErMzf/v37qxn6xx9/rP67evXqyAIh+/fvV3+msHC2vnfv3kjvp0+fDm9vb/To0cPKRmR97lCMO3TogNGjR+POnTtqpk1Bf/z4cbxcubTO67g9YrCWLVti3LhxKFeunPUNUjwSAkIg2QRE0JONMO02cPDgQcyePRvr16+Hk5MT3n77bfz555/g7JB29OhRzJkzR+2Xc2l+69atkbDmzZunZo1cehczTmDp0qVqC4MfT//880+koN++fTterjly5MDFixcxYcKEyMbbt2+Pfv36oXr16oJcCAgBOyQggm6HD9USQ+I++PDhw9WSe86cOVWXDRo0wLJly5A/f3715127dmHNmjVK0D/55BPwA8Bg/LssWbKgZ8+elnDXZvu4ceOGCmwjR+6LRxX0J0+exMuVgs79dgbCGYyrKBMnTkT58uVtloc4LgSEQPwERNDl7Ug0gcuXL2PQoEGq7nnhwoX/186ZAF01/nH8VyGahMQQRU0yyDoqS9YsLSJb2QtpGVHZhiJ7UaGoLG3I3m5GWYtQlpYRacG0yh4iS1P5z+c3/+f+z3u773tv573vXP9zv78Zc9/cc57zPJ/nvOf7286bOr9Lly7Wvn37VF18xIgRhuiQKm7cuLFNnz7datSo4cd36tTJj6VxS1Y6geHDh3sjW+XKlf2gjRs32qZNm6xevXr+NkFpXGvXru3cJ0+enDqvSZMmvgeUOmQiIALJIyBBT96eVuiKiBhJ/Q4ZMsQaNGhQ4lpTpkyxCRMmpLrc27VrZ/3793fR6d27t0fkPXv29C53UvA0aFWvXr1C55u0waMROmsrjWu1atWsRYsW3qxIkyJd7vAeO3Zs0pBoPSIgAv8lIEHXrbBVBIjMiQxDxMjJVatWdZHGBgwY4KJeqVIl78gOTW/r1q3zFP3cuXM9Sud1qtANv1UTKPKD0wW9LK5kUmC+Zs0az6QMGjTI6tSpU+QEtXwRSC4BCXpy91YrEwEREAERKCICEvQi2mwtVQREQAREILkEJOjJ3VutTAREQAREoIgISNCLaLO1VBEQAREQgeQSkKAnd2+1MhEQAREQgSIiIEEvos3WUkVABERABJJLQIKe3L3VykRABERABIqIgAS9iDZbSxUBERABEUguAQl6cvdWKxMBERABESgiAhL0ItpsLVUEREAERCC5BCToyd1brUwEREAERKCICEjQi2iztVQREAEREIHkEpCgJ3dvtTIREAEREIEiIiBBL6LN1lJFQAREQASSS0CCnty91cpEQAREQASKiIAEvYg2W0sVAREQARFILgEJenL3VisTAREQAREoIgIS9CLabC1VBERABEQguQQk6P+ne9u/f3/7448/7O677y74ChYsWGB9+vSxFStWWJs2bezee+8t+JySOIH169fbYYcdZrNmzbLddtstiUvUmkRABMpBQIIeE95NN91kb7/9tr322mu2yy67lBjlqKOOstGjR9uBBx4Yc/Tsp/2bBP28886zU045xa644gp3MnbeeecSC4DVpEmTSvy/HXbYwXAEKtq47u+//26XXnpp6lKXXXaZdejQwZo3b14hl58wYYLdfPPNW4w9ceJEO/jgg2NfsyIEnXmybw0bNvR54Sw8+OCDNn78+Njz1IkiIAKFISBBj8kdkXrzzTfttNNOs/vuu68ggv7XX3/ZnXfeGXMF+TuNqPH555+3Aw44IOOgsNpxxx3t6quvTn1fqVKlLRyh/M3ofyP16NHDjjzyyBKCjlg1adLE6tatWxGXNAR97Nix7tRFrUaNGrbNNtvEvma+BX3Dhg3u1IwaNSol6N9++61Nnz7dLrrootjz1IkiIAKFISBBj8kdkapfv76NHDnShg8f7gIRLBqhr1692k466SRbtGhRiYf5fvvt5w7BPvvsY0Tb1atX95T13LlzDaG+4IIL7IQTTrB77rnHfvzxR9t+++2tb9++dswxx/hlQoTOsW+88YZVqVLF2rZta7fcckvqOjycb7/9dnv//fdt11139TG7du1qiCniwPhEjddff719/vnnHpWlizIP/UGDBtnLL7/CHcMsAAAI/UlEQVRsv/32mx1yyCE+D4774osv/HqffPKJCzZzYC6ZInRSxDfeeOMWtOG4xx572HXXXZf67uGHH3YWDzzwgM/z6KOP9p8HDx7s/65WrZpf97jjjkud88ILL9iIESPsm2++8fHuv/9+mzJliovrtttua1WrVrVzzjnHz4NTp06d7IwzzvDz582b5zxhsNNOO1m7du3s2muvtcqVK/v3HE9UDyv2E34XX3yxj5HJuCYOTqYot1WrVnb55Zfb+eefnzqV45n7q6++ap999pmvlc9NmzbZ8ccf73Mjo5Eu6NnYcYHSxoMJPLgvw95RKsHhwEF9/fXXU/MbN26cPfbYY862Tp06hpPEOjDE/9lnn7UjjjjCszDcLzhK/fr1SzlMc+bM8TUsWbLE9w4Ha8iQIb4vMhEQgfwRkKDHZMnDFHFDaBF1BG+77bbz0eII+tNPP+1RHQ87hPLMM8+0fffd18aMGeMCNXnyZBs4cKC99957Lig8IDnnrrvustatW/vDtnv37kb6+8orr/R5IBoIAgLy/fffW7du3fxnhD2IAw9iUq6NGjWy3XfffYuH7IABA+zDDz80PhFlxIeH+1tvveVOCHbQQQf5wzykbdORwqo8gk4GAFHHceKaiE3v3r3dUUGoZ8yY4c4CQnT44Ye7M4CzhWPB2nCooin3qKD/9NNPXi5gjtT/v/76a3dw+LlLly4pQcepYn/q1avnos73Tz75pB166KFb3EFlCfrjjz9us2fP9nODMcfGjRv7/qxcudLnz77grOE0sL98xhH0ssbLtHcIdFTQ33nnHWfz0EMP+Vo//vhj50NUz75wPJyYH3uAE4QTumzZMj8Gwwkltd+iRQtbu3atO04nn3xyzN88nSYCIlAaAQl6zHuDh9z+++/v4olIIsQhpRxH0HnIIRjBiB5btmyZGpOHO/VXxKBWrVou6ETz0SjwlVde8SiWKJnvmCPCG+yZZ56xadOmeUQVxIGojIg0kxFtIZDPPfdcCeEiHXv66ad7HTpXQWduweHhHEQUByVblBnmifOCqAeDBU5EgwYN7JJLLrFmzZp59iHdsgn60KFDbf78+Snx4fwPPvjAucMQwwE48cQTrWfPnqnh2XdEiUg93RB0HA6i0WD0WSB+a9as8TQ3zkjNmjXtl19+8XXhpBD9phtOzPLly92hiiPoZY2Xae/SBR1HiExI586dU0MRXRNtMzeOx5Eky4Fzi5Gx4XgcQaxp06bueHLPyERABCqOgAQ9JluEiIiUyISo7uyzz3ZxJd0YR9B5sJMmDkakjXCSFg2WnqYnuiQdHmzp0qV21lln2cKFC4006W233VYi4v7nn3+sdu3anuoP4oDgl1ZLJsqiR4DxomJMOpXmNyKxTKKQjhRWPOyjooDYIWi5CjoNiHvttVdqaCJa0tREiUSAsIum4MOB2QS9V69etvfee3vUGYwmOhwZRJesRUi5R/cCEcOpCFF8dM0I+lNPPeWCF4xyxJ577un/vPDCCz3CZ39feuklz3q8+OKL/t2nn37qGR/Ys1/sMWtFROMIelnj5SLosMWZwGEKxj1DFI/jiKAj1uxP9D7k94H7Bps5c6ZH7zSJUrrAOSLLJBMBEcgvAQl6TJ5RQWcIomsedKRSibhIN/IAy1RD//vvvz3FHa2hp7+ChqATHSHQpQk6aWDqrcEWL17sDgB1U2rKOBjUfTNZLg1WRGFkCtIFnaj+zz//3CpB35qUO5E79f9QQ8/0qlZU0HGgcGyiopOroBOJk57PJujRmjtjZxP00mronMt3ZCzImHTs2NFOPfVUj/S/++47T0vT94Dg4wQ88sgj9uWXX+Ys6FF22cbLRdDJPJH1ibLlvsWBCoKeXnPHsYwKOtchw0RZipIDZQs+WZ9MBEQgfwQk6DFZpgs60RSRF1EXQvToo4+6oP/888/eMEdaN9ScqZHTVFReQf/oo49KvA5GExhRIa/S8R0i9O6773qjV7rlIug8hBFOnBVENRhrRIQoNWQShfRrlVVDp0uf5ihS1MGuueYazwjkKuhwJ+rLFC3DADFCOINFa+gIJnsT7Ugn5U49mzQykWR6E115BZ1sDHNC4OiVIIIlW8H9wN8VoG4djGZBmuMyRejZ2GUbj2uQZSBLEJoh01PulDPIfETZMhea6eilSD+eMTMJelgPjiA9Dfx+kAWRiYAI5I+ABD0my3RBZxjSpAjH5s2bPQIJ76HTmIZAIDxE5zfccIN3NJdX0InwEEJEgdos0SaRXhBaauOIOQ1JCMZXX33lkRJikougsyZq9XQpk3Yl/UzUj9NANoLXsMor6IxH6pxPuq2pW5OWJVLNVdDpCyCq5XgatyiB4DxRk77jjjv839TK2Re6xaMCTSYA54o9gWNoiov2L8QRdGr+pM6jRh09vLZGvZ97AWfmiSee8MMQyXPPPdcjePozqKuTzj722GMzCno2dtnG45qsk3VTDtm4caOXGaIRN/vMPRaa4rgXcDIQc5y9XASdcgL9BtyDlAC4P6dOnZoqQcT8FdRpIiACaQQk6DFviUyCzlAIOelfouUg6HQGE3n9+uuv3pV91VVX2bBhw7zOGl5bi5Ny51yiSx78pC8RA8Q7pDJ/+OEH/6ttRHw0uCFwNHYhlrkKOg95IjLEY926dR7R3XrrrV4yCFaeLnfGR7ToVGfeCBkd3kR5uQo686DUwX+kmalVcy4RIALNK2iUI9q3b++v3KULNCIDJz5xUuBIbT1wjCPo2f6wDILG61/8ERfS68HCfYHjhQiyVzgsmSL0bOwYs6zx+J4MDvtJrZ40Og5Pego9ZH5WrVrl/QaUG3ACsFwEHecFR4DonH4NzqdzXyYCIpBfAhL0/PLUaCIgAiIgAiJQEAIS9IJg10VFQAREQAREIL8EJOj55anRREAEREAERKAgBCToBcGui4qACIiACIhAfglI0PPLU6OJgAiIgAiIQEEISNALgl0XFQEREAEREIH8EpCg55enRhMBERABERCBghCQoBcEuy4qAiIgAiIgAvklIEHPL0+NJgIiIAIiIAIFISBBLwh2XVQEREAEREAE8kvgP2t2vFwqr841AAAAAElFTkSuQmCC" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = em.profile_plot(\n", " problems=problems,\n", " results=results,\n", ")\n", "\n", "fig.show(renderer=\"png\")" ] }, { "cell_type": "markdown", "id": "4ada4410", "metadata": {}, "source": [ "The x axis shows runtime per problem. The y axis shows the share of problems each algorithm solved within that runtime. Thus, higher and further to the left values are desirable. Higher means more problems were solved and further to the left means, the algorithm found the solutions earlier. \n", "\n", "You can choose:\n", "\n", "- whether to use `n_evaluations` or `walltime` as **`runtime_measure`**\n", "- whether to normalize runtime such that the runtime of each problem is shown as a multiple of the fastest algorithm on that problem\n", "- how to determine when an evaluation is close enough to the optimum to be counted as converged. Convergence is always based on some measure of distance between the true solution and the solution found by an optimizer. Whether distiance is measured in parameter space, function space, or a combination of both can be specified. \n", "\n", "Below, we consider a problem to be solved if the distance between the parameters found by the optimizer and the true solution parameters are at most 0.1% of the distance between the start parameters and true solution parameters. " ] }, { "cell_type": "code", "execution_count": 6, "id": "efc15318", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = em.profile_plot(\n", " problems=problems,\n", " results=results,\n", " runtime_measure=\"n_evaluations\",\n", " stopping_criterion=\"x\",\n", " x_precision=0.001,\n", ")\n", "\n", "fig.show(renderer=\"png\")" ] }, { "cell_type": "markdown", "id": "70744c8b", "metadata": {}, "source": [ "## 4b. Convergence plots\n", "\n", "**Convergence Plots** look at particular problems and show the convergence of each optimizer on each problem. They look similar to what you've seen from estimagic's dashboard." ] }, { "cell_type": "code", "execution_count": 7, "id": "df3dc55b", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = em.convergence_plot(\n", " problems=problems,\n", " results=results,\n", " n_cols=2,\n", " problem_subset=[\"rosenbrock_good_start\", \"box_3d\"],\n", ")\n", "\n", "fig.show(renderer=\"png\")" ] }, { "cell_type": "markdown", "id": "11d035a2", "metadata": {}, "source": [ "The further to the left and the lower the curve of an algorithm, the better that algorithm performed.\n", "\n", "Often we are more interested in how close each algorithm got to the true solution in parameter space, not in criterion space as above. For this. we simply set the **`distance_measure`** to `parameter_space`. " ] }, { "cell_type": "code", "execution_count": 8, "id": "db2c868c", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = em.convergence_plot(\n", " problems=problems,\n", " results=results,\n", " n_cols=2,\n", " problem_subset=[\"rosenbrock_good_start\", \"box_3d\"],\n", " distance_measure=\"parameter_distance\",\n", " stopping_criterion=\"x\",\n", ")\n", "\n", "fig.show(renderer=\"png\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 5 }