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Question: Simplifying the Expression?

Question:Simplifying the Expression?

Andiguys 75 Maple 2019
solve simplify substitution simplification
12 hours ago
1

While solving for i1 encounter too many terms. How can I simplify it so that only " Pn,Pr and w" remain, with all other variables grouped into constants, so that the equation for the optimal i1​ becomes small and manageable?
 

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restart
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kernelopts(version)

`Maple 2019.1, X86 64 WINDOWS, May 21 2019, Build ID 1399874`

 (1)
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Pi1 := (w-i1)*(1/2+(i1-i2)/(2*tau))*(1-(Pn-Pr)/(1-delta))+(s-i1-Crr)*(1/2+(i1-i2)/(2*tau))*((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)+Ce*rho0*(((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)*eta+1-(Pn-Pr)/(1-delta))

(w-i1)*(1/2+(1/2)*(i1-i2)/tau)*(1-(Pn-Pr)/(1-delta))+(s-i1-Crr)*(1/2+(1/2)*(i1-i2)/tau)*((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)+Ce*rho0*(((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)*eta+1-(Pn-Pr)/(1-delta))

 (2)
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diff(Pi1, i1) = 0

-(1/2+(1/2)*(i1-i2)/tau)*(1-(Pn-Pr)/(1-delta))+(1/2)*(w-i1)*(1-(Pn-Pr)/(1-delta))/tau-(1/2+(1/2)*(i1-i2)/tau)*((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)+(1/2)*(s-i1-Crr)*((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)/tau+(s-i1-Crr)*(1/2+(1/2)*(i1-i2)/tau)*beta*upsilon/delta+Ce*rho0*beta*upsilon*eta/delta = 0

 (3)
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solve(%, i1)

-(1/3)*(Crr*beta*delta*upsilon-beta*delta*i2*upsilon-beta*delta*s*upsilon+beta*delta*tau*upsilon-Crr*beta*upsilon+beta*i2*upsilon+beta*s*upsilon-beta*tau*upsilon-delta*Pr+delta^2-(6*Ce*beta^2*delta^2*eta*rho0*tau*upsilon^2-12*Ce*beta^2*delta*eta*rho0*tau*upsilon^2+6*Ce*beta^2*eta*rho0*tau*upsilon^2+Crr^2*beta^2*delta^2*upsilon^2+Crr*beta^2*delta^2*i2*upsilon^2-2*Crr*beta^2*delta^2*s*upsilon^2-Crr*beta^2*delta^2*tau*upsilon^2+beta^2*delta^2*i2^2*upsilon^2-beta^2*delta^2*i2*s*upsilon^2-2*beta^2*delta^2*i2*tau*upsilon^2+beta^2*delta^2*s^2*upsilon^2+beta^2*delta^2*s*tau*upsilon^2+beta^2*delta^2*tau^2*upsilon^2-2*Crr^2*beta^2*delta*upsilon^2-2*Crr*beta^2*delta*i2*upsilon^2+4*Crr*beta^2*delta*s*upsilon^2+2*Crr*beta^2*delta*tau*upsilon^2-2*beta^2*delta*i2^2*upsilon^2+2*beta^2*delta*i2*s*upsilon^2+4*beta^2*delta*i2*tau*upsilon^2-2*beta^2*delta*s^2*upsilon^2-2*beta^2*delta*s*tau*upsilon^2-2*beta^2*delta*tau^2*upsilon^2+Crr^2*beta^2*upsilon^2+3*Crr*Pn*beta*delta^2*upsilon-2*Crr*Pr*beta*delta^2*upsilon+Crr*beta^2*i2*upsilon^2-2*Crr*beta^2*s*upsilon^2-Crr*beta^2*tau*upsilon^2+2*Crr*beta*delta^3*upsilon-3*Pn*beta*delta^2*s*upsilon+3*Pn*beta*delta^2*upsilon*w-Pr*beta*delta^2*i2*upsilon+2*Pr*beta*delta^2*s*upsilon+Pr*beta*delta^2*tau*upsilon-3*Pr*beta*delta^2*upsilon*w+beta^2*i2^2*upsilon^2-beta^2*i2*s*upsilon^2-2*beta^2*i2*tau*upsilon^2+beta^2*s^2*upsilon^2+beta^2*s*tau*upsilon^2+beta^2*tau^2*upsilon^2+beta*delta^3*i2*upsilon-2*beta*delta^3*s*upsilon-beta*delta^3*tau*upsilon+3*beta*delta^3*upsilon*w-3*Crr*Pn*beta*delta*upsilon+Crr*Pr*beta*delta*upsilon-4*Crr*beta*delta^2*upsilon+3*Pn*beta*delta*s*upsilon-3*Pn*beta*delta*upsilon*w+2*Pr*beta*delta*i2*upsilon-Pr*beta*delta*s*upsilon-2*Pr*beta*delta*tau*upsilon+3*Pr*beta*delta*upsilon*w-2*beta*delta^2*i2*upsilon+4*beta*delta^2*s*upsilon+2*beta*delta^2*tau*upsilon-6*beta*delta^2*upsilon*w+Crr*Pr*beta*upsilon+2*Crr*beta*delta*upsilon+Pr^2*delta^2-Pr*beta*i2*upsilon-Pr*beta*s*upsilon+Pr*beta*tau*upsilon-2*Pr*delta^3+beta*delta*i2*upsilon-2*beta*delta*s*upsilon-beta*delta*tau*upsilon+3*beta*delta*upsilon*w+delta^4-2*Pr^2*delta+4*Pr*delta^2-2*delta^3+Pr^2-2*Pr*delta+delta^2)^(1/2)+Pr-delta)/(beta*upsilon*(-1+delta)), -(1/3)*(Crr*beta*delta*upsilon-beta*delta*i2*upsilon-beta*delta*s*upsilon+beta*delta*tau*upsilon-Crr*beta*upsilon+beta*i2*upsilon+beta*s*upsilon-beta*tau*upsilon-delta*Pr+delta^2+(6*Ce*beta^2*delta^2*eta*rho0*tau*upsilon^2-12*Ce*beta^2*delta*eta*rho0*tau*upsilon^2+6*Ce*beta^2*eta*rho0*tau*upsilon^2+Crr^2*beta^2*delta^2*upsilon^2+Crr*beta^2*delta^2*i2*upsilon^2-2*Crr*beta^2*delta^2*s*upsilon^2-Crr*beta^2*delta^2*tau*upsilon^2+beta^2*delta^2*i2^2*upsilon^2-beta^2*delta^2*i2*s*upsilon^2-2*beta^2*delta^2*i2*tau*upsilon^2+beta^2*delta^2*s^2*upsilon^2+beta^2*delta^2*s*tau*upsilon^2+beta^2*delta^2*tau^2*upsilon^2-2*Crr^2*beta^2*delta*upsilon^2-2*Crr*beta^2*delta*i2*upsilon^2+4*Crr*beta^2*delta*s*upsilon^2+2*Crr*beta^2*delta*tau*upsilon^2-2*beta^2*delta*i2^2*upsilon^2+2*beta^2*delta*i2*s*upsilon^2+4*beta^2*delta*i2*tau*upsilon^2-2*beta^2*delta*s^2*upsilon^2-2*beta^2*delta*s*tau*upsilon^2-2*beta^2*delta*tau^2*upsilon^2+Crr^2*beta^2*upsilon^2+3*Crr*Pn*beta*delta^2*upsilon-2*Crr*Pr*beta*delta^2*upsilon+Crr*beta^2*i2*upsilon^2-2*Crr*beta^2*s*upsilon^2-Crr*beta^2*tau*upsilon^2+2*Crr*beta*delta^3*upsilon-3*Pn*beta*delta^2*s*upsilon+3*Pn*beta*delta^2*upsilon*w-Pr*beta*delta^2*i2*upsilon+2*Pr*beta*delta^2*s*upsilon+Pr*beta*delta^2*tau*upsilon-3*Pr*beta*delta^2*upsilon*w+beta^2*i2^2*upsilon^2-beta^2*i2*s*upsilon^2-2*beta^2*i2*tau*upsilon^2+beta^2*s^2*upsilon^2+beta^2*s*tau*upsilon^2+beta^2*tau^2*upsilon^2+beta*delta^3*i2*upsilon-2*beta*delta^3*s*upsilon-beta*delta^3*tau*upsilon+3*beta*delta^3*upsilon*w-3*Crr*Pn*beta*delta*upsilon+Crr*Pr*beta*delta*upsilon-4*Crr*beta*delta^2*upsilon+3*Pn*beta*delta*s*upsilon-3*Pn*beta*delta*upsilon*w+2*Pr*beta*delta*i2*upsilon-Pr*beta*delta*s*upsilon-2*Pr*beta*delta*tau*upsilon+3*Pr*beta*delta*upsilon*w-2*beta*delta^2*i2*upsilon+4*beta*delta^2*s*upsilon+2*beta*delta^2*tau*upsilon-6*beta*delta^2*upsilon*w+Crr*Pr*beta*upsilon+2*Crr*beta*delta*upsilon+Pr^2*delta^2-Pr*beta*i2*upsilon-Pr*beta*s*upsilon+Pr*beta*tau*upsilon-2*Pr*delta^3+beta*delta*i2*upsilon-2*beta*delta*s*upsilon-beta*delta*tau*upsilon+3*beta*delta*upsilon*w+delta^4-2*Pr^2*delta+4*Pr*delta^2-2*delta^3+Pr^2-2*Pr*delta+delta^2)^(1/2)+Pr-delta)/(beta*upsilon*(-1+delta))

 (4)
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simplify(%)

Error, (in simplify/do) invalid simplification command

  
 

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