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Abdalaziz Rashid
parent
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commit
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1 changed files with 442 additions and 5 deletions
447
notebook_1.ipynb
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notebook_1.ipynb
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@ -982,28 +982,465 @@
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"colab_type": "code",
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"colab_type": "code",
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"colab": {
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"colab": {
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"base_uri": "https://localhost:8080/",
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"base_uri": "https://localhost:8080/",
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"height": 68
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"height": 1000
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},
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},
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"outputId": "3d8e007a-063a-490b-dfd1-1a7321b3fcb0"
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"outputId": "99cd020a-2852-4ab6-9d2e-d31bd714fe5f"
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},
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},
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"source": [
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"source": [
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"%%time\n",
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"%%time\n",
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"RunAll(cfg=_CFG)\n",
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"RunAll(cfg=_CFG)\n",
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" "
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" "
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],
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],
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"execution_count": null,
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"execution_count": 26,
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"outputs": [
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"outputs": [
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{
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{
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"output_type": "stream",
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"output_type": "stream",
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"text": [
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"text": [
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"/content/Feynman_with_units/I.34.8\n",
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"/content/Feynman_with_units/I.34.8\n",
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"Checking for brute force + \n",
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"Checking for brute force + \n",
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"\n"
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[17.509775004326936, 0.0, '1.000000000000*(x2*(x1*(x0/x3)))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[17.509775004326936, 0.0, '1.000000000000*(x2*(x1*(x0/x3)))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[16.194602975157967, nan, 'acos(-x0 - x1 - x2 + 2)']\n",
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"[17.509775004326936, 0.0, '1.000000000000*(x2*(x1*(x0/x3)))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[16.194602975157967, nan, 'acos(-x0 - x1 - x2 + 2)']\n",
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"[17.509775004326936, 0.0, '1.000000000000*(x2*(x1*(x0/x3)))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[16.194602975157967, nan, 'acos(-x0 - x1 - x2 + 2)']\n",
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"[17.509775004326936, 0.0, '1.000000000000*(x2*(x1*(x0/x3)))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[16.194602975157967, nan, 'acos(-x0 - x1 - x2 + 2)']\n",
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"[17.509775004326936, 0.0, '1.000000000000*(x2*(x1*(x0/x3)))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[0.0, 29.021163959047044, 'asin(666.000000000000*(x2-((x2+1)-1)))']\n",
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"[16.194602975157967, nan, 'acos(-x0 - x1 - x2 + 2)']\n",
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"[17.509775004326936, 0.0, '1.000000000000*(x2*(x1*(x0/x3)))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[0.0, 29.021163959047044, 'asin(666.000000000000*(x2-((x2+1)-1)))']\n",
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"[16.194602975157967, nan, 'acos(-x0 - x1 - x2 + 2)']\n",
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"[17.509775004326936, 0.0, '1.000000000000*(x2*(x1*(x0/x3)))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[0.0, 29.021163959047044, 'asin(666.000000000000*(x2-((x2+1)-1)))']\n",
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"[16.194602975157967, nan, 'acos(-x0 - x1 - x2 + 2)']\n",
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"[17.509775004326936, 0.0, '1.000000000000*(x2*(x1*(x0/x3)))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[0.0, 29.021163959047044, 'asin(666.000000000000*(x2-((x2+1)-1)))']\n",
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"[16.194602975157967, nan, 'acos(-x0 - x1 - x2 + 2)']\n",
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"[17.509775004326936, 0.0, '1.000000000000*(x2*(x1*(x0/x3)))']\n",
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"Checking for symmetry \n",
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" I.34.8_train\n",
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"Training a NN on the data... \n",
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"\n",
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"tensor(0.0918, device='cuda:0', grad_fn=<DivBackward0>)\n",
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"tensor(0.0656, device='cuda:0', grad_fn=<DivBackward0>)\n",
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"tensor(0.0516, device='cuda:0', grad_fn=<DivBackward0>)\n",
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"tensor(0.0221, device='cuda:0', grad_fn=<DivBackward0>)\n",
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"NN loss: tensor(0.0038, device='cuda:0', grad_fn=<DivBackward0>) \n",
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"\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[12.60964047443681, 9.234604872781642e-07, '0.000000000000+(x1*(x0/x2))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[12.60964047443681, 9.234604872781642e-07, '0.000000000000+(x1*(x0/x2))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[12.60964047443681, 9.234604872781642e-07, '0.000000000000+(x1*(x0/x2))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[12.60964047443681, 9.234604872781642e-07, '0.000000000000+(x1*(x0/x2))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[12.60964047443681, 9.234604872781642e-07, '0.000000000000+(x1*(x0/x2))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[12.60964047443681, 9.234604872781642e-07, '0.000000000000+(x1*(x0/x2))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[12.60964047443681, 9.234604872781642e-07, '0.000000000000+(x1*(x0/x2))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[12.60964047443681, 9.234604872781642e-07, '0.000000000000+(x1*(x0/x2))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[1.0, 32.555376461840865, '1']\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[12.60964047443681, 9.234604872781642e-07, '0.000000000000+(x1*(x0/x2))']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[1.0, 32.555376461840865, '1']\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[12.60964047443681, 9.234604872781642e-07, '0.000000000000+(x1*(x0/x2))']\n",
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"Checking for symmetry \n",
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" I.34.8_train-translated_multiply\n",
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"Found pretrained NN \n",
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"\n",
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"tensor(0.0416, device='cuda:0', grad_fn=<DivBackward0>)\n",
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"tensor(0.0176, device='cuda:0', grad_fn=<DivBackward0>)\n",
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"tensor(0.0303, device='cuda:0', grad_fn=<DivBackward0>)\n",
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"NN loss after training: tensor(0.0040, device='cuda:0', grad_fn=<DivBackward0>) \n",
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"\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[5.754887502163468, 9.234604872781642e-07, '0.000000000000+(x0/x1)']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[5.754887502163468, 9.234604872781642e-07, '0.000000000000+(x0/x1)']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[5.754887502163468, 9.234604872781642e-07, '0.000000000000+(x0/x1)']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[5.754887502163468, 9.234604872781642e-07, '0.000000000000+(x0/x1)']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[5.754887502163468, 9.234604872781642e-07, '0.000000000000+(x0/x1)']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[5.754887502163468, 9.234604872781642e-07, '0.000000000000+(x0/x1)']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[0.0, 32.919359912499495, '0']\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[5.754887502163468, 9.234604872781642e-07, '0.000000000000+(x0/x1)']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[0.0, 32.919359912499495, '0']\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[5.754887502163468, 9.234604872781642e-07, '0.000000000000+(x0/x1)']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[0.0, 32.919359912499495, '0']\n",
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"[1.0, 32.555376461840865, '1']\n",
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"[4.0, 32.33086112527217, 'pi/2']\n",
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"[5.754887502163468, 9.234604872781642e-07, '0.000000000000+(x0/x1)']\n",
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"Checking for brute force + \n",
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"\n",
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"Checking for brute force * \n",
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"\n",
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"Checking polyfit \n",
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"\n",
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"Complexity RMSE Expression\n",
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"[0.0, 32.919359912499495, '0']\n",
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"[1.0, 32.555376461840865, '1']\n",
|
||||||
|
"[4.0, 32.33086112527217, 'pi/2']\n",
|
||||||
|
"[5.754887502163468, 9.234604872781642e-07, '0.000000000000+(x0/x1)']\n",
|
||||||
|
"Checking for symmetry \n",
|
||||||
|
" I.34.8_train-translated_multiply-translated_multiply\n",
|
||||||
|
"Found pretrained NN \n",
|
||||||
|
"\n",
|
||||||
|
"tensor(0.0311, device='cuda:0', grad_fn=<DivBackward0>)\n",
|
||||||
|
"tensor(0.0333, device='cuda:0', grad_fn=<DivBackward0>)\n",
|
||||||
|
"tensor(0.0225, device='cuda:0', grad_fn=<DivBackward0>)\n",
|
||||||
|
"NN loss after training: tensor(0.0062, device='cuda:0', grad_fn=<DivBackward0>) \n",
|
||||||
|
"\n",
|
||||||
|
"Checking for brute force + \n",
|
||||||
|
"\n",
|
||||||
|
"Checking for brute force * \n",
|
||||||
|
"\n",
|
||||||
|
"Checking polyfit \n",
|
||||||
|
"\n",
|
||||||
|
"Complexity RMSE Expression\n",
|
||||||
|
"[0.0, 9.234604872781642e-07, '0.000000000000+x0']\n",
|
||||||
|
"Checking for brute force + \n",
|
||||||
|
"\n",
|
||||||
|
"Checking for brute force * \n",
|
||||||
|
"\n",
|
||||||
|
"Checking polyfit \n",
|
||||||
|
"\n",
|
||||||
|
"Complexity RMSE Expression\n",
|
||||||
|
"[0.0, 9.234604872781642e-07, '0.000000000000+x0']\n",
|
||||||
|
"Checking for brute force + \n",
|
||||||
|
"\n",
|
||||||
|
"Checking for brute force * \n",
|
||||||
|
"\n",
|
||||||
|
"Checking polyfit \n",
|
||||||
|
"\n",
|
||||||
|
"Complexity RMSE Expression\n",
|
||||||
|
"[0.0, 9.234604872781642e-07, '0.000000000000+x0']\n",
|
||||||
|
"Checking for brute force + \n",
|
||||||
|
"\n",
|
||||||
|
"Checking for brute force * \n",
|
||||||
|
"\n",
|
||||||
|
"Checking polyfit \n",
|
||||||
|
"\n",
|
||||||
|
"Complexity RMSE Expression\n",
|
||||||
|
"[0.0, 9.234604872781642e-07, '0.000000000000+x0']\n",
|
||||||
|
"Checking for brute force + \n",
|
||||||
|
"\n",
|
||||||
|
"Checking for brute force * \n",
|
||||||
|
"\n",
|
||||||
|
"Checking polyfit \n",
|
||||||
|
"\n",
|
||||||
|
"Complexity RMSE Expression\n",
|
||||||
|
"[0.0, 9.234604872781642e-07, '0.000000000000+x0']\n",
|
||||||
|
"Checking for brute force + \n",
|
||||||
|
"\n",
|
||||||
|
"Checking for brute force * \n",
|
||||||
|
"\n",
|
||||||
|
"Checking polyfit \n",
|
||||||
|
"\n",
|
||||||
|
"Complexity RMSE Expression\n",
|
||||||
|
"[0.0, 9.234604872781642e-07, '0.000000000000+x0']\n",
|
||||||
|
"Checking for brute force + \n",
|
||||||
|
"\n",
|
||||||
|
"Checking for brute force * \n",
|
||||||
|
"\n",
|
||||||
|
"Checking polyfit \n",
|
||||||
|
"\n",
|
||||||
|
"Complexity RMSE Expression\n",
|
||||||
|
"[0.0, 9.234604872781642e-07, '0.000000000000+x0']\n",
|
||||||
|
"Checking for brute force + \n",
|
||||||
|
"\n",
|
||||||
|
"Checking for brute force * \n",
|
||||||
|
"\n",
|
||||||
|
"Checking polyfit \n",
|
||||||
|
"\n",
|
||||||
|
"Complexity RMSE Expression\n",
|
||||||
|
"[0.0, 9.234604872781642e-07, '0.000000000000+x0']\n",
|
||||||
|
"Checking for brute force + \n",
|
||||||
|
"\n",
|
||||||
|
"Checking for brute force * \n",
|
||||||
|
"\n",
|
||||||
|
"Checking polyfit \n",
|
||||||
|
"\n",
|
||||||
|
"Complexity RMSE Expression\n",
|
||||||
|
"[0.0, 9.234604872781642e-07, '0.000000000000+x0']\n",
|
||||||
|
"Checking for brute force + \n",
|
||||||
|
"\n",
|
||||||
|
"Checking for brute force * \n",
|
||||||
|
"\n",
|
||||||
|
"Checking polyfit \n",
|
||||||
|
"\n",
|
||||||
|
"Complexity RMSE Expression\n",
|
||||||
|
"[0.0, 9.234604872781642e-07, '0.000000000000+x0']\n",
|
||||||
|
"Checking for symmetry \n",
|
||||||
|
" I.34.8_train-translated_multiply-translated_multiply-translated_divide\n",
|
||||||
|
"Just one variable!\n",
|
||||||
|
"I.34.8_train-translated_multiply-translated_multiply-translated_divide just one variable for ADD \n",
|
||||||
|
"\n",
|
||||||
|
"I.34.8_train-translated_multiply-translated_multiply-translated_divide just one variable for ADD \n",
|
||||||
|
"\n",
|
||||||
|
"I.34.8_train-translated_multiply-translated_multiply-translated_divide just one variable for ADD \n",
|
||||||
|
"\n",
|
||||||
|
"I.34.8_train-translated_multiply-translated_multiply-translated_divide just one variable for ADD \n",
|
||||||
|
"\n",
|
||||||
|
"I.34.8_train-translated_multiply-translated_multiply-translated_divide just one variable for ADD\n",
|
||||||
|
"I.34.8_train-translated_multiply-translated_multiply-translated_divide just one variable for ADD\n",
|
||||||
|
"########################################################################################################################\n",
|
||||||
|
"{'I.34.8': array([['0.0', '-20.046446431241375', '-20046446.431241374', '0.0',\n",
|
||||||
|
" '9.234604872781642e-07', '0.000000000000+((x0*(x1*x2))/x3)'],\n",
|
||||||
|
" ['nan', 'nan', 'nan', '16.194602975157967', 'nan',\n",
|
||||||
|
" 'acos(-x0 - x1 - x2 + 2)'],\n",
|
||||||
|
" ['0.0', '-inf', '-inf', '16.509775004326936', '0.0',\n",
|
||||||
|
" 'x0*x1*x2/x3']], dtype='<U32')}\n",
|
||||||
|
" Average error Cumulative error Error Symbolic expression\n",
|
||||||
|
"-- ---- --------------- ------------------ ------- ---------------------\n",
|
||||||
|
" 0 -inf -inf 16.5098 0 x0*x1*x2/x3\n",
|
||||||
|
"CPU times: user 3h 57min 29s, sys: 23min 49s, total: 4h 21min 19s\n",
|
||||||
|
"Wall time: 4h 35min 21s\n"
|
||||||
],
|
],
|
||||||
"name": "stdout"
|
"name": "stdout"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"output_type": "execute_result",
|
||||||
|
"data": {
|
||||||
|
"text/plain": [
|
||||||
|
"<__main__.RunAll at 0x7f1bc8accb38>"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
"metadata": {
|
||||||
|
"tags": []
|
||||||
|
},
|
||||||
|
"execution_count": 26
|
||||||
}
|
}
|
||||||
]
|
]
|
||||||
},
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "markdown",
|
||||||
|
"metadata": {
|
||||||
|
"id": "DlQ6ydH8vVtU",
|
||||||
|
"colab_type": "text"
|
||||||
|
},
|
||||||
|
"source": [
|
||||||
|
"## Problem: **I.34.8**\n",
|
||||||
|
"Took 4 hours and 35 minute to come up with the correct result:\n",
|
||||||
|
"$$\n",
|
||||||
|
"\\omega = \\dfrac{x_0 x_1 x_2}{x_3}\n",
|
||||||
|
"$$\n",
|
||||||
|
"And the correct answer is:\n",
|
||||||
|
"$$\n",
|
||||||
|
"\\omega = \\dfrac{qvB}{p}\n",
|
||||||
|
"$$\n"
|
||||||
|
]
|
||||||
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "markdown",
|
"cell_type": "markdown",
|
||||||
"metadata": {
|
"metadata": {
|
||||||
|
|
@ -1029,7 +1466,7 @@
|
||||||
"colab_type": "text"
|
"colab_type": "text"
|
||||||
},
|
},
|
||||||
"source": [
|
"source": [
|
||||||
"### Output sample"
|
"Output sample"
|
||||||
]
|
]
|
||||||
},
|
},
|
||||||
{
|
{
|
||||||
|
|
|
||||||
Loading…
Add table
Add a link
Reference in a new issue