[StochasticTools]
  auto_create_executioner = true
[]

[Distributions]
  [uniform_left]
    type = Normal
    mean = 0.1
    standard_deviation = 0.1
  []
  [uniform_right]
    type = Normal
    mean = 0.8
    standard_deviation = 0.5
  []
[]

[Samplers]
  [sample]
    type = MonteCarlo
    num_rows = 10
    distributions = 'uniform_left uniform_right'
    execute_on = 'TIMESTEP_BEGIN'
  []
[]

[MultiApps]
  [sub_phys]
    type = SamplerFullSolveMultiApp
    input_files = physics.i
    sampler = sample
     execute_on = 'TIMESTEP_BEGIN'
  []
[]

[Transfers]
  [sub]
    type = SamplerParameterTransfer
    to_multi_app = sub_phys
    sampler = sample
    parameters = 'BCs/left/value BCs/right/value'
    check_multiapp_execute_on = true
    execute_on = 'INITIAL TIMESTEP_BEGIN FINAL'
    # execute_on = 'INITIAL TIMESTEP_BEGIN'
    
  []
  [reporter_transfer]
    type = SamplerReporterTransfer
    from_reporter = 'objective/value'
    stochastic_reporter = 'constant_final'
    from_multi_app = sub_phys
    sampler = sample
    execute_on = 'TIMESTEP_END'
    # check_multiapp_execute_on = true
    
  []
  [data]
    type = SamplerPostprocessorTransfer
    from_multi_app = sub_phys
    sampler = sample
    to_vector_postprocessor = storage
    from_postprocessor = objective
    execute_on = 'TIMESTEP_END'
    # check_multiapp_execute_on = true
    
  []
[]

[VectorPostprocessors]
  [storage]
    type = StochasticResults
    contains_complete_history = true
  []
[]

[Reporters]
  [stats]
    type = StatisticsReporter
    vectorpostprocessors = 'storage'
    compute = 'mean'
    execute_on = 'INITIAL TIMESTEP_BEGIN'
    outputs = all
  []
  [constant_final]
    type = StochasticReporter
    outputs = all
    execute_on = 'INITIAL TIMESTEP_BEGIN TIMESTEP_END FINAL'
  []
[]

[Controls]
  [stochastic_dists]
    type = SamplerReceiver
    execute_on = 'INITIAL'
    # execute_on = 'INITIAL TIMESTEP_BEGIN TIMESTEP_END'
  []
[]


[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.01
[]


[Outputs]
  [out]
    type = JSON
  []
[]

[Debug]
  show_reporters = true
[]