{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "4457574f", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:17.454907Z", "iopub.status.busy": "2026-10-02T14:46:17.454647Z", "iopub.status.idle": "2026-10-02T14:46:17.459096Z", "shell.execute_reply": "2026-10-02T14:46:17.458449Z" }, "papermill": { "duration": 0.039136, "end_time": "2026-10-02T14:46:17.460368+00:00", "exception": false, "start_time": "2026-10-02T14:46:17.421232+00:00", "status": "completed" }, "tags": [ "remove-input", "remove-output", "active-ipynb" ] }, "outputs": [], "source": [ "try:\n", " from openmdao.utils.notebook_utils import notebook_mode # noqa: F401\n", "except ImportError:\n", " !python -m pip install openmdao[notebooks]" ] }, { "cell_type": "code", "execution_count": 2, "id": "b5a47f26", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:17.465235Z", "iopub.status.busy": "2026-10-02T14:46:17.465084Z", "iopub.status.idle": "2026-10-02T14:46:18.238099Z", "shell.execute_reply": "2026-10-02T14:46:18.236878Z" }, "papermill": { "duration": 0.776365, "end_time": "2026-10-02T14:46:18.238893+00:00", "exception": false, "start_time": "2026-10-02T14:46:17.462528+00:00", "status": "completed" }, "tags": [ "remove-input", "remove-output" ] }, "outputs": [], "source": [ "from openmdao.utils.assert_utils import assert_near_equal\n" ] }, { "cell_type": "markdown", "id": "da61b446", "metadata": { "papermill": { "duration": 0.00195, "end_time": "2026-10-02T14:46:18.243359+00:00", "exception": false, "start_time": "2026-10-02T14:46:18.241409+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Driver Recording" ] }, { "cell_type": "markdown", "id": "d64d1926", "metadata": { "papermill": { "duration": 0.001573, "end_time": "2026-10-02T14:46:18.246814+00:00", "exception": false, "start_time": "2026-10-02T14:46:18.245241+00:00", "status": "completed" }, "tags": [] }, "source": [ "A CaseRecorder is commonly attached to the problem’s Driver in order to gain insight into the convergence of the model as the driver finds a solution. By default, a recorder attached to a driver will record the design variables, constraints and objectives.\n", "\n", "The driver recorder is capable of capturing any values from any part of the model, not just the design variables, constraints, and objectives." ] }, { "cell_type": "code", "execution_count": 3, "id": "20a65508", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:18.252150Z", "iopub.status.busy": "2026-10-02T14:46:18.251893Z", "iopub.status.idle": "2026-10-02T14:46:18.930115Z", "shell.execute_reply": "2026-10-02T14:46:18.926832Z" }, "papermill": { "duration": 0.682265, "end_time": "2026-10-02T14:46:18.930774+00:00", "exception": false, "start_time": "2026-10-02T14:46:18.248509+00:00", "status": "completed" }, "scrolled": true, "tags": [ "remove-input" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/runner/work/OpenMDAO/OpenMDAO/.pixi/envs/dev/lib/python3.13/site-packages/openmdao/utils/notebook_utils.py:127: OMDeprecationWarning:Argument `recording_options` is deprecated. Use `options_dict=\"recording_options\" to remove this warning.\n" ] }, { "data": { "text/html": [ "\n", "\n", "\n", "\n", " \n", "\n", "\n", "

\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
OptionDefaultAcceptable ValuesAcceptable TypesDescription
excludes[]N/A['list']Patterns for vars to exclude in recording (processed post-includes). Uses fnmatch wildcards
includes[]N/A['list']Patterns for variables to include in recording. Uses fnmatch wildcards
record_constraintsTrue[True, False]['bool']Set to True to record constraints at the driver level
record_derivativesFalse[True, False]['bool']Set to True to record derivatives at the driver level
record_desvarsTrue[True, False]['bool']Set to True to record design variables at the driver level
record_inputsTrue[True, False]['bool']Set to True to record inputs at the driver level
record_objectivesTrue[True, False]['bool']Set to True to record objectives at the driver level
record_outputsTrue[True, False]['bool']Set True to record outputs at the driver level.
record_residualsFalse[True, False]['bool']Set True to record residuals at the driver level.
record_responsesFalse[True, False]['bool']Set True to record constraints and objectives at the driver level
\n", "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import openmdao.api as om\n", "om.show_options_table(\"openmdao.core.driver.Driver\", recording_options=True)" ] }, { "cell_type": "markdown", "id": "7f5cc141", "metadata": { "papermill": { "duration": 0.001932, "end_time": "2026-10-02T14:46:18.934883+00:00", "exception": false, "start_time": "2026-10-02T14:46:18.932951+00:00", "status": "completed" }, "tags": [] }, "source": [ "```{note}\n", "Note that the `excludes` option takes precedence over the `includes` option.\n", "```" ] }, { "cell_type": "markdown", "id": "26c5a6cc", "metadata": { "papermill": { "duration": 0.001755, "end_time": "2026-10-02T14:46:18.938431+00:00", "exception": false, "start_time": "2026-10-02T14:46:18.936676+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Driver Recording Example\n", "\n", "In the example below, we first run a case while recording at the driver level. Then, we examine the objective, constraint, and design variable values at the last recorded case. Lastly, we print the full contents of the last case, including outputs from the problem that are not design variables, constraints, or objectives. \n", "\n", "Specifically, `y1` and `y2` are some of those intermediate outputs that are recorded due to the use of:\n", "\n", "`driver.recording_options['includes'] = ['*']`" ] }, { "cell_type": "code", "execution_count": 4, "id": "a377c6aa", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:18.943273Z", "iopub.status.busy": "2026-10-02T14:46:18.942836Z", "iopub.status.idle": "2026-10-02T14:46:20.084985Z", "shell.execute_reply": "2026-10-02T14:46:20.084413Z" }, "papermill": { "duration": 1.145284, "end_time": "2026-10-02T14:46:20.085545+00:00", "exception": false, "start_time": "2026-10-02T14:46:18.940261+00:00", "status": "completed" }, "tags": [ "remove-input", "remove-output" ] }, "outputs": [ { "data": { "application/papermill.record/text/html": "
class SellarDerivatives(om.Group):\n    """\n    Group containing the Sellar MDA. This version uses the disciplines with derivatives.\n    """\n\n    def setup(self):\n        self.add_subsystem('d1', SellarDis1withDerivatives(), promotes=['x', 'z', 'y1', 'y2'])\n        self.add_subsystem('d2', SellarDis2withDerivatives(), promotes=['z', 'y1', 'y2'])\n\n        self.add_subsystem('obj_cmp', om.ExecComp('obj = x**2 + z[1] + y1 + exp(-y2)', obj=0.0,\n                                                  x=0.0, z=np.array([0.0, 0.0]), y1=0.0, y2=0.0),\n                           promotes=['obj', 'x', 'z', 'y1', 'y2'])\n\n        self.add_subsystem('con_cmp1', om.ExecComp('con1 = 3.16 - y1', con1=0.0, y1=0.0),\n                           promotes=['con1', 'y1'])\n        self.add_subsystem('con_cmp2', om.ExecComp('con2 = y2 - 24.0', con2=0.0, y2=0.0),\n                           promotes=['con2', 'y2'])\n\n        self.set_input_defaults('x', 1.0)\n        self.set_input_defaults('z', np.array([5.0, 2.0]))\n
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This version uses the disciplines with derivatives.\n \"\"\"\n\n def setup(self):\n self.add_subsystem('d1', SellarDis1withDerivatives(), promotes=['x', 'z', 'y1', 'y2'])\n self.add_subsystem('d2', SellarDis2withDerivatives(), promotes=['z', 'y1', 'y2'])\n\n self.add_subsystem('obj_cmp', om.ExecComp('obj = x**2 + z[1] + y1 + exp(-y2)', obj=0.0,\n x=0.0, z=np.array([0.0, 0.0]), y1=0.0, y2=0.0),\n promotes=['obj', 'x', 'z', 'y1', 'y2'])\n\n self.add_subsystem('con_cmp1', om.ExecComp('con1 = 3.16 - y1', con1=0.0, y1=0.0),\n promotes=['con1', 'y1'])\n self.add_subsystem('con_cmp2', om.ExecComp('con2 = y2 - 24.0', con2=0.0, y2=0.0),\n promotes=['con2', 'y2'])\n\n self.set_input_defaults('x', 1.0)\n self.set_input_defaults('z', np.array([5.0, 2.0]))" }, "metadata": { "scrapbook": { "mime_prefix": "application/papermill.record/", "name": "code_src89" } }, "output_type": "display_data" } ], "source": [ "from openmdao.utils.notebook_utils import get_code\n", "from myst_nb import glue\n", "glue(\"code_src89\", get_code(\"openmdao.test_suite.components.sellar_feature.SellarDerivatives\"), display=False)" ] }, { "cell_type": "markdown", "id": "4fefdee2", "metadata": { "papermill": { "duration": 0.002039, "end_time": "2026-10-02T14:46:20.089933+00:00", "exception": false, "start_time": "2026-10-02T14:46:20.087894+00:00", "status": "completed" }, "tags": [] }, "source": [ ":::{dropdown} `SellarDerivatives` class definition \n", "\n", "{glue:}`code_src89`\n", ":::" ] }, { "cell_type": "code", "execution_count": 5, "id": "3fd9eaf7", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:20.095000Z", "iopub.status.busy": "2026-10-02T14:46:20.094708Z", "iopub.status.idle": "2026-10-02T14:46:22.301419Z", "shell.execute_reply": "2026-10-02T14:46:22.301004Z" }, "papermill": { "duration": 2.210338, "end_time": "2026-10-02T14:46:22.302311+00:00", "exception": false, "start_time": "2026-10-02T14:46:20.091973+00:00", "status": "completed" }, "scrolled": false, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1790952381.314932] [runnervm8df0l:10505:0] ib_iface.c:1269 UCX ERROR mana_0: iface 0x55a3d379b4d0 failed to create UD QP TX wr:256 sge:6 inl:64 resp:0 RX wr:4096 sge:1 resp:0 failed: Operation not supported\n", "[1790952381.315184] [runnervm8df0l:10505:0] ucp_worker.c:1412 UCX ERROR uct_iface_open(ud_verbs/mana_0:1) failed: Input/output error\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[runnervm8df0l:10505] pml_ucx.c:313 Error: Failed to create UCP worker\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "NL: NLBGS Converged in 8 iterations\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "NL: NLBGS Converged in 1 iterations\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "NL: NLBGS Converged in 9 iterations\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "NL: NLBGS Converged in 10 iterations\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "NL: NLBGS Converged in 10 iterations\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "NL: NLBGS Converged in 9 iterations\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "NL: NLBGS Converged in 6 iterations\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully (Exit mode 0)\n", " Current function value: 3.183393951730529\n", " Iterations: 6\n", " Function evaluations: 6\n", " Gradient evaluations: 6\n", "Optimization Complete\n", "-----------------------------------\n" ] }, { "data": { "text/plain": [ "Problem: driver_recording\n", "Driver: ScipyOptimizeDriver\n", " success : True\n", " iterations : 7\n", " runtime : 4.3496E-01 s\n", " model_evals : 7\n", " model_time : 8.3284E-03 s\n", " deriv_evals : 6\n", " deriv_time : 4.8648E-02 s\n", " exit_status : SUCCESS" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import openmdao.api as om\n", "from openmdao.test_suite.components.sellar_feature import SellarDerivatives\n", "\n", "import numpy as np\n", "\n", "model = SellarDerivatives()\n", "\n", "model.nonlinear_solver = om.NonlinearBlockGS()\n", "model.linear_solver = om.ScipyKrylov()\n", "\n", "model.add_design_var('z', lower=np.array([-10.0, 0.0]),\n", " upper=np.array([10.0, 10.0]))\n", "model.add_design_var('x', lower=0.0, upper=10.0)\n", "model.add_objective('obj')\n", "model.add_constraint('con1', upper=0.0)\n", "model.add_constraint('con2', upper=0.0)\n", "\n", "driver = om.ScipyOptimizeDriver(optimizer='SLSQP', tol=1e-9)\n", "\n", "driver.recording_options['includes'] = ['*']\n", "driver.recording_options['record_objectives'] = True\n", "driver.recording_options['record_constraints'] = True\n", "driver.recording_options['record_desvars'] = True\n", "driver.recording_options['record_inputs'] = True\n", "driver.recording_options['record_outputs'] = True\n", "driver.recording_options['record_residuals'] = True\n", "\n", "driver.add_recorder(om.SqliteRecorder(\"driver_recording.sql\"))\n", "\n", "prob = om.Problem(name='driver_recording', model=model, driver=driver)\n", "prob.setup()\n", "prob.run_driver()" ] }, { "cell_type": "code", "execution_count": 6, "id": "9fb08419", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.308381Z", "iopub.status.busy": "2026-10-02T14:46:22.307992Z", "iopub.status.idle": "2026-10-02T14:46:22.543412Z", "shell.execute_reply": "2026-10-02T14:46:22.542565Z" }, "papermill": { "duration": 0.23893, "end_time": "2026-10-02T14:46:22.543890+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.304960+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", " \n", "\n", "\n", "

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rank0:ScipyOptimize_SLSQP|6
\n", "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "prob.cleanup()\n", "cr = om.CaseReader(prob.get_outputs_dir() / \"driver_recording.sql\")\n", "driver_cases = cr.list_cases('driver')" ] }, { "cell_type": "code", "execution_count": 7, "id": "7620fd4f", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.550095Z", "iopub.status.busy": "2026-10-02T14:46:22.549798Z", "iopub.status.idle": "2026-10-02T14:46:22.553191Z", "shell.execute_reply": "2026-10-02T14:46:22.552416Z" }, "papermill": { "duration": 0.006987, "end_time": "2026-10-02T14:46:22.553628+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.546641+00:00", "status": "completed" }, "tags": [ "remove-input", "remove-output" ] }, "outputs": [], "source": [ "assert len(driver_cases) == 7" ] }, { "cell_type": "code", "execution_count": 8, "id": "b7c24dd7", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.559662Z", "iopub.status.busy": "2026-10-02T14:46:22.559508Z", "iopub.status.idle": "2026-10-02T14:46:22.563662Z", "shell.execute_reply": "2026-10-02T14:46:22.562967Z" }, "papermill": { "duration": 0.008216, "end_time": "2026-10-02T14:46:22.564126+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.555910+00:00", "status": "completed" }, "scrolled": false, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "driver rank0:ScipyOptimize_SLSQP|6 {'x': array([5.63626006e-15]), 'z': array([1.97763888, 0. ]), 'con1': array([-9.11004605e-11]), 'con2': array([-20.24472223]), 'y1': array([3.16]), 'y2': array([3.75527777]), 'obj': array([3.18339395])}\n" ] } ], "source": [ "last_case = cr.get_case(driver_cases[-1])\n", "print(last_case)" ] }, { "cell_type": "code", "execution_count": 9, "id": "650e4714", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.569649Z", "iopub.status.busy": "2026-10-02T14:46:22.569380Z", "iopub.status.idle": "2026-10-02T14:46:22.573861Z", "shell.execute_reply": "2026-10-02T14:46:22.573159Z" }, "papermill": { "duration": 0.00789, "end_time": "2026-10-02T14:46:22.574314+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.566424+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "{'obj': array([3.18339395])}" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "last_case.get_objectives()" ] }, { "cell_type": "code", "execution_count": 10, "id": "cbe1e9d4", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.579909Z", "iopub.status.busy": "2026-10-02T14:46:22.579613Z", "iopub.status.idle": "2026-10-02T14:46:22.584217Z", "shell.execute_reply": "2026-10-02T14:46:22.583457Z" }, "papermill": { "duration": 0.007903, "end_time": "2026-10-02T14:46:22.584667+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.576764+00:00", "status": "completed" }, "tags": [ "remove-input", "remove-output" ] }, "outputs": [ { "data": { "text/plain": [ "np.float64(5.436113407797904e-10)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "assert_near_equal(last_case.get_objectives()['obj'], 3.18339395, tolerance=1e-8)" ] }, { "cell_type": "code", "execution_count": 11, "id": "7010c1aa", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.590614Z", "iopub.status.busy": "2026-10-02T14:46:22.590010Z", "iopub.status.idle": "2026-10-02T14:46:22.597933Z", "shell.execute_reply": "2026-10-02T14:46:22.596315Z" }, "papermill": { "duration": 0.011307, "end_time": "2026-10-02T14:46:22.598393+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.587086+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "{'z': array([1.97763888, 0. ]), 'x': array([5.63626006e-15])}" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "last_case.get_design_vars()" ] }, { "cell_type": "code", "execution_count": 12, "id": "3d071c8c", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.638140Z", "iopub.status.busy": "2026-10-02T14:46:22.637976Z", "iopub.status.idle": "2026-10-02T14:46:22.644453Z", "shell.execute_reply": "2026-10-02T14:46:22.643540Z" }, "papermill": { "duration": 0.04418, "end_time": "2026-10-02T14:46:22.645022+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.600842+00:00", "status": "completed" }, "tags": [ "remove-input", "remove-output" ] }, "outputs": [ { "data": { "text/plain": [ "np.float64(1.7637977961360507e-09)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "design_vars = last_case.get_design_vars()\n", "assert_near_equal(design_vars['x'], 0., tolerance=1e-8)\n", "assert_near_equal(design_vars['z'][0], 1.97763888, tolerance=1e-8)" ] }, { "cell_type": "code", "execution_count": 13, "id": "708a6125", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.651223Z", "iopub.status.busy": "2026-10-02T14:46:22.651050Z", "iopub.status.idle": "2026-10-02T14:46:22.655989Z", "shell.execute_reply": "2026-10-02T14:46:22.655052Z" }, "papermill": { "duration": 0.008764, "end_time": "2026-10-02T14:46:22.656520+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.647756+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "{'con1': array([-9.11004605e-11]), 'con2': array([-20.24472223])}" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "last_case.get_constraints()" ] }, { "cell_type": "code", "execution_count": 14, "id": "da04fb33", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.662398Z", "iopub.status.busy": "2026-10-02T14:46:22.662236Z", "iopub.status.idle": "2026-10-02T14:46:22.667357Z", "shell.execute_reply": "2026-10-02T14:46:22.666451Z" }, "papermill": { "duration": 0.010094, "end_time": "2026-10-02T14:46:22.669154+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.659060+00:00", "status": "completed" }, "tags": [ "remove-input", "remove-output" ] }, "outputs": [ { "data": { "text/plain": [ "np.float64(1.4932798340865912e-10)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "constraints = last_case.get_constraints()\n", "assert_near_equal(constraints['con1'], 0, tolerance=1e-8)\n", "assert_near_equal(constraints['con2'], -20.24472223, tolerance=1e-8)" ] }, { "cell_type": "code", "execution_count": 15, "id": "5366fe98", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.675770Z", "iopub.status.busy": "2026-10-02T14:46:22.675186Z", "iopub.status.idle": "2026-10-02T14:46:22.679721Z", "shell.execute_reply": "2026-10-02T14:46:22.678947Z" }, "papermill": { "duration": 0.008283, "end_time": "2026-10-02T14:46:22.680161+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.671878+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "array([5.63626006e-15])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "last_case.inputs['obj_cmp.x']" ] }, { "cell_type": "code", "execution_count": 16, "id": "f014d126", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.686098Z", "iopub.status.busy": "2026-10-02T14:46:22.685948Z", "iopub.status.idle": "2026-10-02T14:46:22.689658Z", "shell.execute_reply": "2026-10-02T14:46:22.688460Z" }, "papermill": { "duration": 0.007343, "end_time": "2026-10-02T14:46:22.690172+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.682829+00:00", "status": "completed" }, "tags": [ "remove-input", "remove-output" ] }, "outputs": [ { "data": { "text/plain": [ "np.float64(5.636260060859323e-15)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "assert_near_equal(last_case.inputs['obj_cmp.x'], 0, tolerance=1e-8)" ] }, { "cell_type": "code", "execution_count": 17, "id": "48f0da4c", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.696229Z", "iopub.status.busy": "2026-10-02T14:46:22.696001Z", "iopub.status.idle": "2026-10-02T14:46:22.700491Z", "shell.execute_reply": "2026-10-02T14:46:22.699724Z" }, "papermill": { "duration": 0.00809, "end_time": "2026-10-02T14:46:22.700953+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.692863+00:00", "status": "completed" }, "scrolled": true, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "array([1.97763888, 0. ])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "last_case.outputs['z']" ] }, { "cell_type": "code", "execution_count": 18, "id": "830be9a4", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.707422Z", "iopub.status.busy": "2026-10-02T14:46:22.707164Z", "iopub.status.idle": "2026-10-02T14:46:22.711707Z", "shell.execute_reply": "2026-10-02T14:46:22.710944Z" }, "papermill": { "duration": 0.008579, "end_time": "2026-10-02T14:46:22.712119+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.703540+00:00", "status": "completed" }, "tags": [ "remove-input", "remove-output" ] }, "outputs": [ { "data": { "text/plain": [ "np.float64(0.0)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "assert_near_equal(last_case.outputs['z'][0], 1.97763888, tolerance=1e-8)\n", "assert_near_equal(last_case.outputs['z'][1], 0, tolerance=1e-8)" ] }, { "cell_type": "code", "execution_count": 19, "id": "d58ac713", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.729265Z", "iopub.status.busy": "2026-10-02T14:46:22.729112Z", "iopub.status.idle": "2026-10-02T14:46:22.732860Z", "shell.execute_reply": "2026-10-02T14:46:22.732139Z" }, "papermill": { "duration": 0.018519, "end_time": "2026-10-02T14:46:22.733283+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.714764+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "array([3.88031829e-11])" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "last_case.residuals['obj']" ] }, { "cell_type": "code", "execution_count": 20, "id": "9bce5416", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.739599Z", "iopub.status.busy": "2026-10-02T14:46:22.739461Z", "iopub.status.idle": "2026-10-02T14:46:22.743082Z", "shell.execute_reply": "2026-10-02T14:46:22.742363Z" }, "papermill": { "duration": 0.007344, "end_time": "2026-10-02T14:46:22.743501+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.736157+00:00", "status": "completed" }, "tags": [ "remove-input", "remove-output" ] }, "outputs": [ { "data": { "text/plain": [ "np.float64(3.880318288906892e-11)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "assert_near_equal(last_case.residuals['obj'], 0, tolerance=1e-8)" ] }, { "cell_type": "code", "execution_count": 21, "id": "004cf155", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.750108Z", "iopub.status.busy": "2026-10-02T14:46:22.749964Z", "iopub.status.idle": "2026-10-02T14:46:22.753785Z", "shell.execute_reply": "2026-10-02T14:46:22.753024Z" }, "papermill": { "duration": 0.007554, "end_time": "2026-10-02T14:46:22.754212+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.746658+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "array([3.16])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "last_case['y1']" ] }, { "cell_type": "code", "execution_count": 22, "id": "526351a3", "metadata": { "execution": { "iopub.execute_input": "2026-10-02T14:46:22.760442Z", "iopub.status.busy": "2026-10-02T14:46:22.760296Z", "iopub.status.idle": "2026-10-02T14:46:22.763081Z", "shell.execute_reply": "2026-10-02T14:46:22.762627Z" }, "papermill": { "duration": 0.007116, "end_time": "2026-10-02T14:46:22.764076+00:00", "exception": false, "start_time": "2026-10-02T14:46:22.756960+00:00", "status": "completed" }, "tags": [ "remove-input", "remove-output" ] }, "outputs": [ { "data": { "text/plain": [ "np.float64(2.8829259654633494e-11)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "assert_near_equal(last_case['y1'], 3.16, tolerance=1e-8)" ] } ], "metadata": { "celltoolbar": "Tags", "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": "3.13.14" }, "orphan": true, "papermill": { "default_parameters": {}, "duration": 7.059917, "end_time": "2026-10-02T14:46:23.716067+00:00", "environment_variables": {}, "exception": null, "input_path": "/home/runner/work/OpenMDAO/OpenMDAO/openmdao/docs/openmdao_book/features/recording/driver_recording.ipynb", "output_path": "/home/runner/work/OpenMDAO/OpenMDAO/openmdao/docs/_executed_book/features/recording/driver_recording.ipynb", "parameters": {}, "start_time": "2026-10-02T14:46:16.656150+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }