Matrix in SymbolicUtils?

New to Julia
16

The first tutorial is titled " Symbolic Calculations and Building Fast Parallel Functions" :stuck_out_tongue:. Let’s multithread it:

using ModelingToolkit
@variables u[1:3,1:3]
A = inv(u)
build_function(A,u,parallel=ModelingToolkit.MultithreadedForm())[2]

which creates:

:((var"##MTIIPVar#82901", var"##MTKArg#82899")->begin
          @inbounds begin
                  begin
                      (ModelingToolkit.fill_array_with_zero!)(var"##MTIIPVar#82901")
                      @sync begin
                              let (u₁ˏ₁, u₂ˏ₁, u₃ˏ₁, u₁ˏ₂, u₂ˏ₂, u₃ˏ₂, u₁ˏ₃, u₂ˏ₃, u₃ˏ₃) = (var"##MTKArg#82899"[1], var"##MTKArg#82899"[2], var"##MTKArg#82899"[3], var"##MTKArg#82899"[4], var"##MTKArg#82899"[5], var"##MTKArg#82899"[6], var"##MTKArg#82899"[7], var"##MTKArg#82899"[8], var"##MTKArg#82899"[9])
                                  begin
                                      Threads.@spawn begin
                                              var"##MTIIPVar#82901"[1] = (getproperty(Base, :\))(u₁ˏ₁, (getproperty(Base, :-))((getproperty(Base, :-))(identity(true), (getproperty(Base, :*))(u₁ˏ₃, (getproperty(Base, 
:\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(true))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(true)))))))), (getproperty(Base, :*))(u₁ˏ₂, (getproperty(Base, :\))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(true))), (getproperty(Base, 
:*))((getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, 
:inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, 
:*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(true))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(true))))))))))))
                                              var"##MTIIPVar#82901"[2] = (getproperty(Base, :\))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(true))), (getproperty(Base, :*))((getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), 
(getproperty(Base, :\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(true))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, 
:-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(true)))))))))
                                              var"##MTIIPVar#82901"[3] = (getproperty(Base, :\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, 
:*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(true))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), 
u₁ˏ₂)))), (getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(true))))))
                                          end
                                  end
                                  begin
                                      Threads.@spawn begin
                                              var"##MTIIPVar#82901"[4] = (getproperty(Base, :\))(u₁ˏ₁, (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))(u₁ˏ₃, (getproperty(Base, :\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(identity(true), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0)))))))), (getproperty(Base, :*))(u₁ˏ₂, (getproperty(Base, :\))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :-))((getproperty(Base, :-))(identity(true), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(identity(true), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))))))))))))
                                              var"##MTIIPVar#82901"[5] = (getproperty(Base, :\))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :-))((getproperty(Base, :-))(identity(true), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), 
(getproperty(Base, :\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(identity(true), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0)))))))))
                                              var"##MTIIPVar#82901"[6] = (getproperty(Base, :\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, 
:*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(identity(true), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))))))
                                          end
                                  end
                                  begin
                                      Threads.@spawn begin
                                              var"##MTIIPVar#82901"[7] = (getproperty(Base, :\))(u₁ˏ₁, (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))(u₁ˏ₃, (getproperty(Base, :\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(true), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0)))))))), (getproperty(Base, :*))(u₁ˏ₂, (getproperty(Base, :\))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(true), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))))))))))))
                                              var"##MTIIPVar#82901"[8] = (getproperty(Base, :\))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :-))((getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(true), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0)))))))))
                                              var"##MTIIPVar#82901"[9] = (getproperty(Base, :\))((getproperty(Base, :-))((getproperty(Base, :-))(u₃ˏ₃, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)))), (getproperty(Base, :-))(u₂ˏ₃, (getproperty(Base, :*))((getproperty(Base, 
:*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₃)))), (getproperty(Base, :-))((getproperty(Base, :-))(identity(true), (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))), (getproperty(Base, :*))((getproperty(Base, :*))((getproperty(Base, :-))(u₃ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₃ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), u₁ˏ₂)), (getproperty(Base, :inv))((getproperty(Base, :-))(u₂ˏ₂, (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), 
u₁ˏ₂)))), (getproperty(Base, :-))(identity(0), (getproperty(Base, :*))((getproperty(Base, :*))(u₂ˏ₁, (getproperty(Base, :inv))(u₁ˏ₁)), identity(0))))))
                                          end
                                  end
                                  begin
                                      Threads.@spawn begin
                                          end
                                  end
                              end
                          end
                  end
              end
          nothing
      end)
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