mlflow_nested_runs.py

with mlflow.start_run(experiment_id=1, run_name="top_lever_run") as run:
    with mlflow.start_run(experiment_id=1, run_name="subrun1",nested=True) as subrun1:
        mlflow.log_param("p1","red")
        mlflow.log_metric("m1", 5.1)
        with mlflow.start_run(experiment_id=1, run_name="subsubrun1",nested=True) as subsubrun1:
            mlflow.log_param("p3","green")
            mlflow.log_metric("m3", 5.24)
        with mlflow.start_run(experiment_id=1, run_name="subsubrun2", nested=True) as subsubrun2:
            mlflow.log_param("p4","blue")
            mlflow.log_metric("m5", 3.25)
    with mlflow.start_run(experiment_id=1, run_name="subrun2", nested=True) as subrun2:
        mlflow.log_param("p2","magenta")
        mlflow.log_metric("m2", -.25)

Thanks for sharing