demo for JuMP issue 1355

elec50.jl

# Copyright 2018 Google LLC.
# SPDX-License-Identifier: Apache-2.0
using JuMP

splice_into_expression(ex, x) = ex
function splice_into_expression(ex::Expr, x)
    if Meta.isexpr(ex, :ref)
        if ex.args[1] != :x
            error("Unrecognized expression $ex")
        end
        if !(ex.args[2] isa Int)
            error("Unrecognized index in expression $ex")
        end
        return x[ex.args[2]]
    else
        return Expr(ex.head,
                    [splice_into_expression(arg, x) for arg in ex.args]...)
    end
end

function elec50_raw_expressions()

m = Model()

# ----- Variables ----- #
@variable(m, objvar)
@variable(m, x[1:150])

e1_expression = :(-(1/sqrt( (x[1]-x[2])^2+ (x[51]-x[52])^2+ (x[101]-x[102])^2)+1/sqrt( (x[1]-x[3])^2+ (x[51]-x[53])^2+ (x[101]-x[103])^2)+1/sqrt( (x[1]-x[4])^2+ (x[51]-x[54])^2+ (x[101]-x[104])^2)+1/sqrt( (x[1]-x[5])^2+ (x[51]-x[55])^2+ (x[101]-x[105])^2)+1/sqrt( (x[1]-x[6])^2+ (x[51]-x[56])^2+ (x[101]-x[106])^2)+1/sqrt( (x[1]-x[7])^2+ (x[51]-x[57])^2+ (x[101]-x[107])^2)+1/sqrt( (x[1]-x[8])^2+ (x[51]-x[58])^2+ (x[101]-x[108])^2)+1/sqrt( (x[1]-x[9])^2+ (x[51]-x[59])^2+ (x[101]-x[109])^2)+1/sqrt( (x[1]-x[10])^2+ (x[51]-x[60])^2+ (x[101]-x[110])^2)+1/sqrt( (x[1]-x[11])^2+ (x[51]-x[61])^2+ (x[101]-x[111])^2)+1/sqrt( (x[1]-x[12])^2+ (x[51]-x[62])^2+ (x[101]-x[112])^2)+1/sqrt( (x[1]-x[13])^2+ (x[51]-x[63])^2+ (x[101]-x[113])^2)+1/sqrt( (x[1]-x[14])^2+ (x[51]-x[64])^2+ (x[101]-x[114])^2)+1/sqrt( (x[1]-x[15])^2+ (x[51]-x[65])^2+ (x[101]-x[115])^2)+1/sqrt( (x[1]-x[16])^2+ (x[51]-x[66])^2+ (x[101]-x[116])^2)+1/sqrt( (x[1]-x[17])^2+ (x[51]-x[67])^2+ (x[101]-x[117])^2)+1/sqrt( (x[1]-x[18])^2+ (x[51]-x[68])^2+ (x[101]-x[118])^2)+1/sqrt( (x[1]-x[19])^2+ (x[51]-x[69])^2+ (x[101]-x[119])^2)+1/sqrt( (x[1]-x[20])^2+ (x[51]-x[70])^2+ (x[101]-x[120])^2)+1/sqrt( (x[1]-x[21])^2+ (x[51]-x[71])^2+ (x[101]-x[121])^2)+1/sqrt( (x[1]-x[22])^2+ (x[51]-x[72])^2+ (x[101]-x[122])^2)+1/sqrt( (x[1]-x[23])^2+ (x[51]-x[73])^2+ (x[101]-x[123])^2)+1/sqrt( (x[1]-x[24])^2+ (x[51]-x[74])^2+ (x[101]-x[124])^2)+1/sqrt( (x[1]-x[25])^2+ (x[51]-x[75])^2+ (x[101]-x[125])^2)+1/sqrt( (x[1]-x[26])^2+ (x[51]-x[76])^2+ (x[101]-x[126])^2)+1/sqrt( (x[1]-x[27])^2+ (x[51]-x[77])^2+ (x[101]-x[127])^2)+1/sqrt( (x[1]-x[28])^2+ (x[51]-x[78])^2+ (x[101]-x[128])^2)+1/sqrt( (x[1]-x[29])^2+ (x[51]-x[79])^2+ (x[101]-x[129])^2)+1/sqrt( (x[1]-x[30])^2+ (x[51]-x[80])^2+ (x[101]-x[130])^2)+1/sqrt( (x[1]-x[31])^2+ (x[51]-x[81])^2+ (x[101]-x[131])^2)+1/sqrt( (x[1]-x[32])^2+ (x[51]-x[82])^2+ (x[101]-x[132])^2)+1/sqrt( (x[1]-x[33])^2+ (x[51]-x[83])^2+ (x[101]-x[133])^2)+1/sqrt( (x[1]-x[34])^2+ (x[51]-x[84])^2+ (x[101]-x[134])^2)+1/sqrt( (x[1]-x[35])^2+ (x[51]-x[85])^2+ (x[101]-x[135])^2)+1/sqrt( (x[1]-x[36])^2+ (x[51]-x[86])^2+ (x[101]-x[136])^2)+1/sqrt( (x[1]-x[37])^2+ (x[51]-x[87])^2+ (x[101]-x[137])^2)+1/sqrt( (x[1]-x[38])^2+ (x[51]-x[88])^2+ (x[101]-x[138])^2)+1/sqrt( (x[1]-x[39])^2+ (x[51]-x[89])^2+ (x[101]-x[139])^2)+1/sqrt( (x[1]-x[40])^2+ (x[51]-x[90])^2+ (x[101]-x[140])^2)+1/sqrt( (x[1]-x[41])^2+ (x[51]-x[91])^2+ (x[101]-x[141])^2)+1/sqrt( (x[1]-x[42])^2+ (x[51]-x[92])^2+ (x[101]-x[142])^2)+1/sqrt( (x[1]-x[43])^2+ (x[51]-x[93])^2+ (x[101]-x[143])^2)+1/sqrt( (x[1]-x[44])^2+ (x[51]-x[94])^2+ (x[101]-x[144])^2)+1/sqrt( (x[1]-x[45])^2+ (x[51]-x[95])^2+ (x[101]-x[145])^2)+1/sqrt( (x[1]-x[46])^2+ (x[51]-x[96])^2+ (x[101]-x[146])^2)+1/sqrt( (x[1]-x[47])^2+ (x[51]-x[97])^2+ (x[101]-x[147])^2)+1/sqrt( (x[1]-x[48])^2+ (x[51]-x[98])^2+ (x[101]-x[148])^2)+1/sqrt( (x[1]-x[49])^2+ (x[51]-x[99])^2+ (x[101]-x[149])^2)+1/sqrt( (x[1]-x[50])^2+ (x[51]-x[100])^2+ (x[101]-x[150])^2)+1/sqrt( (x[2]-x[3])^2+ (x[52]-x[53])^2+ (x[102]-x[103])^2)+1/sqrt( (x[2]-x[4])^2+ (x[52]-x[54])^2+ (x[102]-x[104])^2)+1/sqrt( (x[2]-x[5])^2+ (x[52]-x[55])^2+ (x[102]-x[105])^2)+1/sqrt( (x[2]-x[6])^2+ (x[52]-x[56])^2+ (x[102]-x[106])^2)+1/sqrt( (x[2]-x[7])^2+ (x[52]-x[57])^2+ (x[102]-x[107])^2)+1/sqrt( (x[2]-x[8])^2+ (x[52]-x[58])^2+ (x[102]-x[108])^2)+1/sqrt( (x[2]-x[9])^2+ (x[52]-x[59])^2+ (x[102]-x[109])^2)+1/sqrt( (x[2]-x[10])^2+ (x[52]-x[60])^2+ (x[102]-x[110])^2)+1/sqrt( (x[2]-x[11])^2+ (x[52]-x[61])^2+ (x[102]-x[111])^2)+1/sqrt( (x[2]-x[12])^2+ (x[52]-x[62])^2+ (x[102]-x[112])^2)+1/sqrt( (x[2]-x[13])^2+ (x[52]-x[63])^2+ (x[102]-x[113])^2)+1/sqrt( (x[2]-x[14])^2+ (x[52]-x[64])^2+ (x[102]-x[114])^2)+1/sqrt( (x[2]-x[15])^2+ (x[52]-x[65])^2+ (x[102]-x[115])^2)+1/sqrt( (x[2]-x[16])^2+ (x[52]-x[66])^2+ (x[102]-x[116])^2)+1/sqrt( (x[2]-x[17])^2+ (x[52]-x[67])^2+ (x[102]-x[117])^2)+1/sqrt( (x[2]-x[18])^2+ (x[52]-x[68])^2+ (x[102]-x[118])^2)+1/sqrt( (x[2]-x[19])^2+ (x[52]-x[69])^2+ (x[102]-x[119])^2)+1/sqrt( (x[2]-x[20])^2+ (x[52]-x[70])^2+ (x[102]-x[120])^2)+1/sqrt( (x[2]-x[21])^2+ (x[52]-x[71])^2+ (x[102]-x[121])^2)+1/sqrt( (x[2]-x[22])^2+ (x[52]-x[72])^2+ (x[102]-x[122])^2)+1/sqrt( (x[2]-x[23])^2+ (x[52]-x[73])^2+ (x[102]-x[123])^2)+1/sqrt( (x[2]-x[24])^2+ (x[52]-x[74])^2+ (x[102]-x[124])^2)+1/sqrt( (x[2]-x[25])^2+ (x[52]-x[75])^2+ (x[102]-x[125])^2)+1/sqrt( (x[2]-x[26])^2+ (x[52]-x[76])^2+ (x[102]-x[126])^2)+1/sqrt( (x[2]-x[27])^2+ (x[52]-x[77])^2+ (x[102]-x[127])^2)+1/sqrt( (x[2]-x[28])^2+ (x[52]-x[78])^2+ (x[102]-x[128])^2)+1/sqrt( (x[2]-x[29])^2+ (x[52]-x[79])^2+ (x[102]-x[129])^2)+1/sqrt( (x[2]-x[30])^2+ (x[52]-x[80])^2+ (x[102]-x[130])^2)+1/sqrt( (x[2]-x[31])^2+ (x[52]-x[81])^2+ (x[102]-x[131])^2)+1/sqrt( (x[2]-x[32])^2+ (x[52]-x[82])^2+ (x[102]-x[132])^2)+1/sqrt( (x[2]-x[33])^2+ (x[52]-x[83])^2+ (x[102]-x[133])^2)+1/sqrt( (x[2]-x[34])^2+ (x[52]-x[84])^2+ (x[102]-x[134])^2)+1/sqrt( (x[2]-x[35])^2+ (x[52]-x[85])^2+ (x[102]-x[135])^2)+1/sqrt( (x[2]-x[36])^2+ (x[52]-x[86])^2+ (x[102]-x[136])^2)+1/sqrt( (x[2]-x[37])^2+ (x[52]-x[87])^2+ (x[102]-x[137])^2)+1/sqrt( (x[2]-x[38])^2+ (x[52]-x[88])^2+ (x[102]-x[138])^2)+1/sqrt( (x[2]-x[39])^2+ (x[52]-x[89])^2+ (x[102]-x[139])^2)+1/sqrt( (x[2]-x[40])^2+ (x[52]-x[90])^2+ (x[102]-x[140])^2)+1/sqrt( (x[2]-x[41])^2+ (x[52]-x[91])^2+ (x[102]-x[141])^2)+1/sqrt( (x[2]-x[42])^2+ (x[52]-x[92])^2+ (x[102]-x[142])^2)+1/sqrt( (x[2]-x[43])^2+ (x[52]-x[93])^2+ (x[102]-x[143])^2)+1/sqrt( (x[2]-x[44])^2+ (x[52]-x[94])^2+ (x[102]-x[144])^2)+1/sqrt( (x[2]-x[45])^2+ (x[52]-x[95])^2+ (x[102]-x[145])^2)+1/sqrt( (x[2]-x[46])^2+ (x[52]-x[96])^2+ (x[102]-x[146])^2)+1/sqrt( (x[2]-x[47])^2+ (x[52]-x[97])^2+ (x[102]-x[147])^2)+1/sqrt( (x[2]-x[48])^2+ (x[52]-x[98])^2+ (x[102]-x[148])^2)+1/sqrt( (x[2]-x[49])^2+ (x[52]-x[99])^2+ (x[102]-x[149])^2)+1/sqrt( (x[2]-x[50])^2+ (x[52]-x[100])^2+ (x[102]-x[150])^2)+1/sqrt( (x[3]-x[4])^2+ (x[53]-x[54])^2+ (x[103]-x[104])^2)+1/sqrt( (x[3]-x[5])^2+ (x[53]-x[55])^2+ (x[103]-x[105])^2)+1/sqrt( (x[3]-x[6])^2+ (x[53]-x[56])^2+ (x[103]-x[106])^2)+1/sqrt( (x[3]-x[7])^2+ (x[53]-x[57])^2+ (x[103]-x[107])^2)+1/sqrt( (x[3]-x[8])^2+ (x[53]-x[58])^2+ (x[103]-x[108])^2)+1/sqrt( (x[3]-x[9])^2+ (x[53]-x[59])^2+ (x[103]-x[109])^2)+1/sqrt( (x[3]-x[10])^2+ (x[53]-x[60])^2+ (x[103]-x[110])^2)+1/sqrt( (x[3]-x[11])^2+ (x[53]-x[61])^2+ (x[103]-x[111])^2)+1/sqrt( (x[3]-x[12])^2+ (x[53]-x[62])^2+ (x[103]-x[112])^2)+1/sqrt( (x[3]-x[13])^2+ (x[53]-x[63])^2+ (x[103]-x[113])^2)+1/sqrt( (x[3]-x[14])^2+ (x[53]-x[64])^2+ (x[103]-x[114])^2)+1/sqrt( (x[3]-x[15])^2+ (x[53]-x[65])^2+ (x[103]-x[115])^2)+1/sqrt( (x[3]-x[16])^2+ (x[53]-x[66])^2+ (x[103]-x[116])^2)+1/sqrt( (x[3]-x[17])^2+ (x[53]-x[67])^2+ (x[103]-x[117])^2)+1/sqrt( (x[3]-x[18])^2+ (x[53]-x[68])^2+ (x[103]-x[118])^2)+1/sqrt( (x[3]-x[19])^2+ (x[53]-x[69])^2+ (x[103]-x[119])^2)+1/sqrt( (x[3]-x[20])^2+ (x[53]-x[70])^2+ (x[103]-x[120])^2)+1/sqrt( (x[3]-x[21])^2+ (x[53]-x[71])^2+ (x[103]-x[121])^2)+1/sqrt( (x[3]-x[22])^2+ (x[53]-x[72])^2+ (x[103]-x[122])^2)+1/sqrt( (x[3]-x[23])^2+ (x[53]-x[73])^2+ (x[103]-x[123])^2)+1/sqrt( (x[3]-x[24])^2+ (x[53]-x[74])^2+ (x[103]-x[124])^2)+1/sqrt( (x[3]-x[25])^2+ (x[53]-x[75])^2+ (x[103]-x[125])^2)+1/sqrt( (x[3]-x[26])^2+ (x[53]-x[76])^2+ (x[103]-x[126])^2)+1/sqrt( (x[3]-x[27])^2+ (x[53]-x[77])^2+ (x[103]-x[127])^2)+1/sqrt( (x[3]-x[28])^2+ (x[53]-x[78])^2+ (x[103]-x[128])^2)+1/sqrt( (x[3]-x[29])^2+ (x[53]-x[79])^2+ (x[103]-x[129])^2)+1/sqrt( (x[3]-x[30])^2+ (x[53]-x[80])^2+ (x[103]-x[130])^2)+1/sqrt( (x[3]-x[31])^2+ (x[53]-x[81])^2+ (x[103]-x[131])^2)+1/sqrt( (x[3]-x[32])^2+ (x[53]-x[82])^2+ (x[103]-x[132])^2)+1/sqrt( (x[3]-x[33])^2+ (x[53]-x[83])^2+ (x[103]-x[133])^2)+1/sqrt( (x[3]-x[34])^2+ (x[53]-x[84])^2+ (x[103]-x[134])^2)+1/sqrt( (x[3]-x[35])^2+ (x[53]-x[85])^2+ (x[103]-x[135])^2)+1/sqrt( (x[3]-x[36])^2+ (x[53]-x[86])^2+ (x[103]-x[136])^2)+1/sqrt( (x[3]-x[37])^2+ (x[53]-x[87])^2+ (x[103]-x[137])^2)+1/sqrt( (x[3]-x[38])^2+ (x[53]-x[88])^2+ (x[103]-x[138])^2)+1/sqrt( (x[3]-x[39])^2+ (x[53]-x[89])^2+ (x[103]-x[139])^2)+1/sqrt( (x[3]-x[40])^2+ (x[53]-x[90])^2+ (x[103]-x[140])^2)+1/sqrt( (x[3]-x[41])^2+ (x[53]-x[91])^2+ (x[103]-x[141])^2)+1/sqrt( (x[3]-x[42])^2+ (x[53]-x[92])^2+ (x[103]-x[142])^2)+1/sqrt( (x[3]-x[43])^2+ (x[53]-x[93])^2+ (x[103]-x[143])^2)+1/sqrt( (x[3]-x[44])^2+ (x[53]-x[94])^2+ (x[103]-x[144])^2)+1/sqrt( (x[3]-x[45])^2+ (x[53]-x[95])^2+ (x[103]-x[145])^2)+1/sqrt( (x[3]-x[46])^2+ (x[53]-x[96])^2+ (x[103]-x[146])^2)+1/sqrt( (x[3]-x[47])^2+ (x[53]-x[97])^2+ (x[103]-x[147])^2)+1/sqrt( (x[3]-x[48])^2+ (x[53]-x[98])^2+ (x[103]-x[148])^2)+1/sqrt( (x[3]-x[49])^2+ (x[53]-x[99])^2+ (x[103]-x[149])^2)+1/sqrt( (x[3]-x[50])^2+ (x[53]-x[100])^2+ (x[103]-x[150])^2)+1/sqrt( (x[4]-x[5])^2+ (x[54]-x[55])^2+ (x[104]-x[105])^2)+1/sqrt( (x[4]-x[6])^2+ (x[54]-x[56])^2+ (x[104]-x[106])^2)+1/sqrt( (x[4]-x[7])^2+ (x[54]-x[57])^2+ (x[104]-x[107])^2)+1/sqrt( (x[4]-x[8])^2+ (x[54]-x[58])^2+ (x[104]-x[108])^2)+1/sqrt( (x[4]-x[9])^2+ (x[54]-x[59])^2+ (x[104]-x[109])^2)+1/sqrt( (x[4]-x[10])^2+ (x[54]-x[60])^2+ (x[104]-x[110])^2)+1/sqrt( (x[4]-x[11])^2+ (x[54]-x[61])^2+ (x[104]-x[111])^2)+1/sqrt( (x[4]-x[12])^2+ (x[54]-x[62])^2+ (x[104]-x[112])^2)+1/sqrt( (x[4]-x[13])^2+ (x[54]-x[63])^2+ (x[104]-x[113])^2)+1/sqrt( (x[4]-x[14])^2+ (x[54]-x[64])^2+ (x[104]-x[114])^2)+1/sqrt( (x[4]-x[15])^2+ (x[54]-x[65])^2+ (x[104]-x[115])^2)+1/sqrt( (x[4]-x[16])^2+ (x[54]-x[66])^2+ (x[104]-x[116])^2)+1/sqrt( (x[4]-x[17])^2+ (x[54]-x[67])^2+ (x[104]-x[117])^2)+1/sqrt( (x[4]-x[18])^2+ (x[54]-x[68])^2+ (x[104]-x[118])^2)+1/sqrt( (x[4]-x[19])^2+ (x[54]-x[69])^2+ (x[104]-x[119])^2)+1/sqrt( (x[4]-x[20])^2+ (x[54]-x[70])^2+ (x[104]-x[120])^2)+1/sqrt( (x[4]-x[21])^2+ (x[54]-x[71])^2+ (x[104]-x[121])^2)+1/sqrt( (x[4]-x[22])^2+ (x[54]-x[72])^2+ (x[104]-x[122])^2)+1/sqrt( (x[4]-x[23])^2+ (x[54]-x[73])^2+ (x[104]-x[123])^2)+1/sqrt( (x[4]-x[24])^2+ (x[54]-x[74])^2+ (x[104]-x[124])^2)+1/sqrt( (x[4]-x[25])^2+ (x[54]-x[75])^2+ (x[104]-x[125])^2)+1/sqrt( (x[4]-x[26])^2+ (x[54]-x[76])^2+ (x[104]-x[126])^2)+1/sqrt( (x[4]-x[27])^2+ (x[54]-x[77])^2+ (x[104]-x[127])^2)+1/sqrt( (x[4]-x[28])^2+ (x[54]-x[78])^2+ (x[104]-x[128])^2)+1/sqrt( (x[4]-x[29])^2+ (x[54]-x[79])^2+ (x[104]-x[129])^2)+1/sqrt( (x[4]-x[30])^2+ (x[54]-x[80])^2+ (x[104]-x[130])^2)+1/sqrt( (x[4]-x[31])^2+ (x[54]-x[81])^2+ (x[104]-x[131])^2)+1/sqrt( (x[4]-x[32])^2+ (x[54]-x[82])^2+ (x[104]-x[132])^2)+1/sqrt( (x[4]-x[33])^2+ (x[54]-x[83])^2+ (x[104]-x[133])^2)+1/sqrt( (x[4]-x[34])^2+ (x[54]-x[84])^2+ (x[104]-x[134])^2)+1/sqrt( (x[4]-x[35])^2+ (x[54]-x[85])^2+ (x[104]-x[135])^2)+1/sqrt( (x[4]-x[36])^2+ (x[54]-x[86])^2+ (x[104]-x[136])^2)+1/sqrt( (x[4]-x[37])^2+ (x[54]-x[87])^2+ (x[104]-x[137])^2)+1/sqrt( (x[4]-x[38])^2+ (x[54]-x[88])^2+ (x[104]-x[138])^2)+1/sqrt( (x[4]-x[39])^2+ (x[54]-x[89])^2+ (x[104]-x[139])^2)+1/sqrt( (x[4]-x[40])^2+ (x[54]-x[90])^2+ (x[104]-x[140])^2)+1/sqrt( (x[4]-x[41])^2+ (x[54]-x[91])^2+ (x[104]-x[141])^2)+1/sqrt( 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(x[135]-x[147])^2)+1/sqrt( (x[35]-x[48])^2+ (x[85]-x[98])^2+ (x[135]-x[148])^2)+1/sqrt( (x[35]-x[49])^2+ (x[85]-x[99])^2+ (x[135]-x[149])^2)+1/sqrt( (x[35]-x[50])^2+ (x[85]-x[100])^2+ (x[135]-x[150])^2)+1/sqrt( (x[36]-x[37])^2+ (x[86]-x[87])^2+ (x[136]-x[137])^2)+1/sqrt( (x[36]-x[38])^2+ (x[86]-x[88])^2+ (x[136]-x[138])^2)+1/sqrt( (x[36]-x[39])^2+ (x[86]-x[89])^2+ (x[136]-x[139])^2)+1/sqrt( (x[36]-x[40])^2+ (x[86]-x[90])^2+ (x[136]-x[140])^2)+1/sqrt( (x[36]-x[41])^2+ (x[86]-x[91])^2+ (x[136]-x[141])^2)+1/sqrt( (x[36]-x[42])^2+ (x[86]-x[92])^2+ (x[136]-x[142])^2)+1/sqrt( (x[36]-x[43])^2+ (x[86]-x[93])^2+ (x[136]-x[143])^2)+1/sqrt( (x[36]-x[44])^2+ (x[86]-x[94])^2+ (x[136]-x[144])^2)+1/sqrt( (x[36]-x[45])^2+ (x[86]-x[95])^2+ (x[136]-x[145])^2)+1/sqrt( (x[36]-x[46])^2+ (x[86]-x[96])^2+ (x[136]-x[146])^2)+1/sqrt( (x[36]-x[47])^2+ (x[86]-x[97])^2+ (x[136]-x[147])^2)+1/sqrt( (x[36]-x[48])^2+ (x[86]-x[98])^2+ (x[136]-x[148])^2)+1/sqrt( (x[36]-x[49])^2+ (x[86]-x[99])^2+ (x[136]-x[149])^2)+1/sqrt( (x[36]-x[50])^2+ (x[86]-x[100])^2+ (x[136]-x[150])^2)+1/sqrt( (x[37]-x[38])^2+ (x[87]-x[88])^2+ (x[137]-x[138])^2)+1/sqrt( (x[37]-x[39])^2+ (x[87]-x[89])^2+ (x[137]-x[139])^2)+1/sqrt( (x[37]-x[40])^2+ (x[87]-x[90])^2+ (x[137]-x[140])^2)+1/sqrt( (x[37]-x[41])^2+ (x[87]-x[91])^2+ (x[137]-x[141])^2)+1/sqrt( (x[37]-x[42])^2+ (x[87]-x[92])^2+ (x[137]-x[142])^2)+1/sqrt( (x[37]-x[43])^2+ (x[87]-x[93])^2+ (x[137]-x[143])^2)+1/sqrt( (x[37]-x[44])^2+ (x[87]-x[94])^2+ (x[137]-x[144])^2)+1/sqrt( (x[37]-x[45])^2+ (x[87]-x[95])^2+ (x[137]-x[145])^2)+1/sqrt( (x[37]-x[46])^2+ (x[87]-x[96])^2+ (x[137]-x[146])^2)+1/sqrt( (x[37]-x[47])^2+ (x[87]-x[97])^2+ (x[137]-x[147])^2)+1/sqrt( (x[37]-x[48])^2+ (x[87]-x[98])^2+ (x[137]-x[148])^2)+1/sqrt( (x[37]-x[49])^2+ (x[87]-x[99])^2+ (x[137]-x[149])^2)+1/sqrt( (x[37]-x[50])^2+ (x[87]-x[100])^2+ (x[137]-x[150])^2)+1/sqrt( (x[38]-x[39])^2+ (x[88]-x[89])^2+ (x[138]-x[139])^2)+1/sqrt( (x[38]-x[40])^2+ (x[88]-x[90])^2+ (x[138]-x[140])^2)+1/sqrt( (x[38]-x[41])^2+ (x[88]-x[91])^2+ (x[138]-x[141])^2)+1/sqrt( (x[38]-x[42])^2+ (x[88]-x[92])^2+ (x[138]-x[142])^2)+1/sqrt( (x[38]-x[43])^2+ (x[88]-x[93])^2+ (x[138]-x[143])^2)+1/sqrt( (x[38]-x[44])^2+ (x[88]-x[94])^2+ (x[138]-x[144])^2)+1/sqrt( (x[38]-x[45])^2+ (x[88]-x[95])^2+ (x[138]-x[145])^2)+1/sqrt( (x[38]-x[46])^2+ (x[88]-x[96])^2+ (x[138]-x[146])^2)+1/sqrt( (x[38]-x[47])^2+ (x[88]-x[97])^2+ (x[138]-x[147])^2)+1/sqrt( (x[38]-x[48])^2+ (x[88]-x[98])^2+ (x[138]-x[148])^2)+1/sqrt( (x[38]-x[49])^2+ (x[88]-x[99])^2+ (x[138]-x[149])^2)+1/sqrt( (x[38]-x[50])^2+ (x[88]-x[100])^2+ (x[138]-x[150])^2)+1/sqrt( (x[39]-x[40])^2+ (x[89]-x[90])^2+ (x[139]-x[140])^2)+1/sqrt( (x[39]-x[41])^2+ (x[89]-x[91])^2+ (x[139]-x[141])^2)+1/sqrt( (x[39]-x[42])^2+ (x[89]-x[92])^2+ (x[139]-x[142])^2)+1/sqrt( (x[39]-x[43])^2+ (x[89]-x[93])^2+ (x[139]-x[143])^2)+1/sqrt( (x[39]-x[44])^2+ (x[89]-x[94])^2+ (x[139]-x[144])^2)+1/sqrt( (x[39]-x[45])^2+ (x[89]-x[95])^2+ (x[139]-x[145])^2)+1/sqrt( (x[39]-x[46])^2+ (x[89]-x[96])^2+ (x[139]-x[146])^2)+1/sqrt( (x[39]-x[47])^2+ (x[89]-x[97])^2+ (x[139]-x[147])^2)+1/sqrt( (x[39]-x[48])^2+ (x[89]-x[98])^2+ (x[139]-x[148])^2)+1/sqrt( (x[39]-x[49])^2+ (x[89]-x[99])^2+ (x[139]-x[149])^2)+1/sqrt( (x[39]-x[50])^2+ (x[89]-x[100])^2+ (x[139]-x[150])^2)+1/sqrt( (x[40]-x[41])^2+ (x[90]-x[91])^2+ (x[140]-x[141])^2)+1/sqrt( (x[40]-x[42])^2+ (x[90]-x[92])^2+ (x[140]-x[142])^2)+1/sqrt( (x[40]-x[43])^2+ (x[90]-x[93])^2+ (x[140]-x[143])^2)+1/sqrt( (x[40]-x[44])^2+ (x[90]-x[94])^2+ (x[140]-x[144])^2)+1/sqrt( (x[40]-x[45])^2+ (x[90]-x[95])^2+ (x[140]-x[145])^2)+1/sqrt( (x[40]-x[46])^2+ (x[90]-x[96])^2+ (x[140]-x[146])^2)+1/sqrt( (x[40]-x[47])^2+ (x[90]-x[97])^2+ (x[140]-x[147])^2)+1/sqrt( (x[40]-x[48])^2+ (x[90]-x[98])^2+ (x[140]-x[148])^2)+1/sqrt( (x[40]-x[49])^2+ (x[90]-x[99])^2+ (x[140]-x[149])^2)+1/sqrt( (x[40]-x[50])^2+ (x[90]-x[100])^2+ (x[140]-x[150])^2)+1/sqrt( (x[41]-x[42])^2+ (x[91]-x[92])^2+ (x[141]-x[142])^2)+1/sqrt( (x[41]-x[43])^2+ (x[91]-x[93])^2+ (x[141]-x[143])^2)+1/sqrt( (x[41]-x[44])^2+ (x[91]-x[94])^2+ (x[141]-x[144])^2)+1/sqrt( (x[41]-x[45])^2+ (x[91]-x[95])^2+ (x[141]-x[145])^2)+1/sqrt( (x[41]-x[46])^2+ (x[91]-x[96])^2+ (x[141]-x[146])^2)+1/sqrt( (x[41]-x[47])^2+ (x[91]-x[97])^2+ (x[141]-x[147])^2)+1/sqrt( (x[41]-x[48])^2+ (x[91]-x[98])^2+ (x[141]-x[148])^2)+1/sqrt( (x[41]-x[49])^2+ (x[91]-x[99])^2+ (x[141]-x[149])^2)+1/sqrt( (x[41]-x[50])^2+ (x[91]-x[100])^2+ (x[141]-x[150])^2)+1/sqrt( (x[42]-x[43])^2+ (x[92]-x[93])^2+ (x[142]-x[143])^2)+1/sqrt( (x[42]-x[44])^2+ (x[92]-x[94])^2+ (x[142]-x[144])^2)+1/sqrt( (x[42]-x[45])^2+ (x[92]-x[95])^2+ (x[142]-x[145])^2)+1/sqrt( (x[42]-x[46])^2+ (x[92]-x[96])^2+ (x[142]-x[146])^2)+1/sqrt( (x[42]-x[47])^2+ (x[92]-x[97])^2+ (x[142]-x[147])^2)+1/sqrt( (x[42]-x[48])^2+ (x[92]-x[98])^2+ (x[142]-x[148])^2)+1/sqrt( (x[42]-x[49])^2+ (x[92]-x[99])^2+ (x[142]-x[149])^2)+1/sqrt( (x[42]-x[50])^2+ (x[92]-x[100])^2+ (x[142]-x[150])^2)+1/sqrt( (x[43]-x[44])^2+ (x[93]-x[94])^2+ (x[143]-x[144])^2)+1/sqrt( (x[43]-x[45])^2+ (x[93]-x[95])^2+ (x[143]-x[145])^2)+1/sqrt( (x[43]-x[46])^2+ (x[93]-x[96])^2+ (x[143]-x[146])^2)+1/sqrt( (x[43]-x[47])^2+ (x[93]-x[97])^2+ (x[143]-x[147])^2)+1/sqrt( (x[43]-x[48])^2+ (x[93]-x[98])^2+ (x[143]-x[148])^2)+1/sqrt( (x[43]-x[49])^2+ (x[93]-x[99])^2+ (x[143]-x[149])^2)+1/sqrt( (x[43]-x[50])^2+ (x[93]-x[100])^2+ (x[143]-x[150])^2)+1/sqrt( (x[44]-x[45])^2+ (x[94]-x[95])^2+ (x[144]-x[145])^2)+1/sqrt( (x[44]-x[46])^2+ (x[94]-x[96])^2+ (x[144]-x[146])^2)+1/sqrt( (x[44]-x[47])^2+ (x[94]-x[97])^2+ (x[144]-x[147])^2)+1/sqrt( (x[44]-x[48])^2+ (x[94]-x[98])^2+ (x[144]-x[148])^2)+1/sqrt( (x[44]-x[49])^2+ (x[94]-x[99])^2+ (x[144]-x[149])^2)+1/sqrt( (x[44]-x[50])^2+ (x[94]-x[100])^2+ (x[144]-x[150])^2)+1/sqrt( (x[45]-x[46])^2+ (x[95]-x[96])^2+ (x[145]-x[146])^2)+1/sqrt( (x[45]-x[47])^2+ (x[95]-x[97])^2+ (x[145]-x[147])^2)+1/sqrt( (x[45]-x[48])^2+ (x[95]-x[98])^2+ (x[145]-x[148])^2)+1/sqrt( (x[45]-x[49])^2+ (x[95]-x[99])^2+ (x[145]-x[149])^2)+1/sqrt( (x[45]-x[50])^2+ (x[95]-x[100])^2+ (x[145]-x[150])^2)+1/sqrt( (x[46]-x[47])^2+ (x[96]-x[97])^2+ (x[146]-x[147])^2)+1/sqrt( (x[46]-x[48])^2+ (x[96]-x[98])^2+ (x[146]-x[148])^2)+1/sqrt( (x[46]-x[49])^2+ (x[96]-x[99])^2+ (x[146]-x[149])^2)+1/sqrt( (x[46]-x[50])^2+ (x[96]-x[100])^2+ (x[146]-x[150])^2)+1/sqrt( (x[47]-x[48])^2+ (x[97]-x[98])^2+ (x[147]-x[148])^2)+1/sqrt( (x[47]-x[49])^2+ (x[97]-x[99])^2+ (x[147]-x[149])^2)+1/sqrt( (x[47]-x[50])^2+ (x[97]-x[100])^2+ (x[147]-x[150])^2)+1/sqrt( (x[48]-x[49])^2+ (x[98]-x[99])^2+ (x[148]-x[149])^2)+1/sqrt( (x[48]-x[50])^2+ (x[98]-x[100])^2+ (x[148]-x[150])^2)+1/sqrt( (x[49]-x[50])^2+ (x[99]-x[100])^2+ (x[149]-x[150])^2)))

# ----- Constraints ----- #
spliced_e1_expression = splice_into_expression(e1_expression, x)
m[:e1] = JuMP.addNLconstraint(m, :($spliced_e1_expression + $objvar == 0.0))
@NLconstraint(m, e2,  (x[1])^2+ (x[51])^2+ (x[101])^2 == 1.0)
@NLconstraint(m, e3,  (x[2])^2+ (x[52])^2+ (x[102])^2 == 1.0)
@NLconstraint(m, e4,  (x[3])^2+ (x[53])^2+ (x[103])^2 == 1.0)
@NLconstraint(m, e5,  (x[4])^2+ (x[54])^2+ (x[104])^2 == 1.0)
@NLconstraint(m, e6,  (x[5])^2+ (x[55])^2+ (x[105])^2 == 1.0)
@NLconstraint(m, e7,  (x[6])^2+ (x[56])^2+ (x[106])^2 == 1.0)
@NLconstraint(m, e8,  (x[7])^2+ (x[57])^2+ (x[107])^2 == 1.0)
@NLconstraint(m, e9,  (x[8])^2+ (x[58])^2+ (x[108])^2 == 1.0)
@NLconstraint(m, e10,  (x[9])^2+ (x[59])^2+ (x[109])^2 == 1.0)
@NLconstraint(m, e11,  (x[10])^2+ (x[60])^2+ (x[110])^2 == 1.0)
@NLconstraint(m, e12,  (x[11])^2+ (x[61])^2+ (x[111])^2 == 1.0)
@NLconstraint(m, e13,  (x[12])^2+ (x[62])^2+ (x[112])^2 == 1.0)
@NLconstraint(m, e14,  (x[13])^2+ (x[63])^2+ (x[113])^2 == 1.0)
@NLconstraint(m, e15,  (x[14])^2+ (x[64])^2+ (x[114])^2 == 1.0)
@NLconstraint(m, e16,  (x[15])^2+ (x[65])^2+ (x[115])^2 == 1.0)
@NLconstraint(m, e17,  (x[16])^2+ (x[66])^2+ (x[116])^2 == 1.0)
@NLconstraint(m, e18,  (x[17])^2+ (x[67])^2+ (x[117])^2 == 1.0)
@NLconstraint(m, e19,  (x[18])^2+ (x[68])^2+ (x[118])^2 == 1.0)
@NLconstraint(m, e20,  (x[19])^2+ (x[69])^2+ (x[119])^2 == 1.0)
@NLconstraint(m, e21,  (x[20])^2+ (x[70])^2+ (x[120])^2 == 1.0)
@NLconstraint(m, e22,  (x[21])^2+ (x[71])^2+ (x[121])^2 == 1.0)
@NLconstraint(m, e23,  (x[22])^2+ (x[72])^2+ (x[122])^2 == 1.0)
@NLconstraint(m, e24,  (x[23])^2+ (x[73])^2+ (x[123])^2 == 1.0)
@NLconstraint(m, e25,  (x[24])^2+ (x[74])^2+ (x[124])^2 == 1.0)
@NLconstraint(m, e26,  (x[25])^2+ (x[75])^2+ (x[125])^2 == 1.0)
@NLconstraint(m, e27,  (x[26])^2+ (x[76])^2+ (x[126])^2 == 1.0)
@NLconstraint(m, e28,  (x[27])^2+ (x[77])^2+ (x[127])^2 == 1.0)
@NLconstraint(m, e29,  (x[28])^2+ (x[78])^2+ (x[128])^2 == 1.0)
@NLconstraint(m, e30,  (x[29])^2+ (x[79])^2+ (x[129])^2 == 1.0)
@NLconstraint(m, e31,  (x[30])^2+ (x[80])^2+ (x[130])^2 == 1.0)
@NLconstraint(m, e32,  (x[31])^2+ (x[81])^2+ (x[131])^2 == 1.0)
@NLconstraint(m, e33,  (x[32])^2+ (x[82])^2+ (x[132])^2 == 1.0)
@NLconstraint(m, e34,  (x[33])^2+ (x[83])^2+ (x[133])^2 == 1.0)
@NLconstraint(m, e35,  (x[34])^2+ (x[84])^2+ (x[134])^2 == 1.0)
@NLconstraint(m, e36,  (x[35])^2+ (x[85])^2+ (x[135])^2 == 1.0)
@NLconstraint(m, e37,  (x[36])^2+ (x[86])^2+ (x[136])^2 == 1.0)
@NLconstraint(m, e38,  (x[37])^2+ (x[87])^2+ (x[137])^2 == 1.0)
@NLconstraint(m, e39,  (x[38])^2+ (x[88])^2+ (x[138])^2 == 1.0)
@NLconstraint(m, e40,  (x[39])^2+ (x[89])^2+ (x[139])^2 == 1.0)
@NLconstraint(m, e41,  (x[40])^2+ (x[90])^2+ (x[140])^2 == 1.0)
@NLconstraint(m, e42,  (x[41])^2+ (x[91])^2+ (x[141])^2 == 1.0)
@NLconstraint(m, e43,  (x[42])^2+ (x[92])^2+ (x[142])^2 == 1.0)
@NLconstraint(m, e44,  (x[43])^2+ (x[93])^2+ (x[143])^2 == 1.0)
@NLconstraint(m, e45,  (x[44])^2+ (x[94])^2+ (x[144])^2 == 1.0)
@NLconstraint(m, e46,  (x[45])^2+ (x[95])^2+ (x[145])^2 == 1.0)
@NLconstraint(m, e47,  (x[46])^2+ (x[96])^2+ (x[146])^2 == 1.0)
@NLconstraint(m, e48,  (x[47])^2+ (x[97])^2+ (x[147])^2 == 1.0)
@NLconstraint(m, e49,  (x[48])^2+ (x[98])^2+ (x[148])^2 == 1.0)
@NLconstraint(m, e50,  (x[49])^2+ (x[99])^2+ (x[149])^2 == 1.0)
@NLconstraint(m, e51,  (x[50])^2+ (x[100])^2+ (x[150])^2 == 1.0)


# ----- Objective ----- #
@objective(m, Min, objvar)

return m
end