ArcSin[x] - ArcCsch[y] == I Pi (1 - (-1)^(Floor[-(Arg[1/((I x + Sqrt[1 - x^2])^I (Sqrt[1 + 1/y^2] + 1/y)) + 1]/(2 Pi))] - Floor[-(Arg[1/((I x + Sqrt[1 - x^2])^I (Sqrt[1 + 1/y^2] + 1/y))]/ (2 Pi))])) + I (-1)^(Floor[Arg[1/((I x + Sqrt[1 - x^2])^I (Sqrt[1 + 1/y^2] + 1/y)) - 1]/ (2 Pi) - Arg[1/((I x + Sqrt[1 - x^2])^I (Sqrt[1 + 1/y^2] + 1/y)) + 1]/ (2 Pi) + 1/2] + Floor[-(Arg[1/((I x + Sqrt[1 - x^2])^I (Sqrt[1 + 1/y^2] + 1/y))]/Pi)]) (ArcSin[(1/2) (I x + Sqrt[1 - x^2])^I (1/((I x + Sqrt[1 - x^2])^(2 I) (Sqrt[1 + 1/y^2] + 1/y)^2) + 1) (Sqrt[1 + 1/y^2] + 1/y)] - Pi/2) - 2 I Pi (Floor[(-Arg[(I x + Sqrt[1 - x^2])^(-I)] - Arg[1/(Sqrt[1 + 1/y^2] + 1/y)] + Pi)/(2 Pi)] + Floor[(Im[Log[Sqrt[1 + 1/y^2] + 1/y]] + Pi)/(2 Pi)] + Floor[(Re[Log[I x + Sqrt[1 - x^2]]] + Pi)/(2 Pi)])

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<apply> <floor /> <apply> <times /> <apply> <plus /> <apply> <imaginary /> <apply> <ln /> <apply> <plus /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <power /> <ci> y </ci> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <ci> y </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <pi /> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <pi /> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <floor /> <apply> <times /> <apply> <plus /> <apply> <real /> <apply> <ln /> <apply> <plus /> <apply> <times /> <imaginaryi /> <ci> x </ci> </apply> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> x 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2007-05-02