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# Model tp079 # Source version 1 # Simple APM canonicalizer version 1.3 # AMPL backend version 1.1 var x_1; let x_1 := 2; var x_2; let x_2 := 2; var x_3; let x_3 := 2; var x_4; let x_4 := 2; var x_5; let x_5 := 2; var myminfun = (x_1 - 1)^2 + (x_1 - x_2)^2 + (x_2 - x_3)^2 + (x_3 - x_4)^4 + (x_4 - x_5)^4; var myabsdevnod0_0 = abs(myminfun - 0.0787768208710569); var myreldevnod0_0 = abs(myminfun/0.0787768208710569 - 1); var myabsdevnod0_1 = abs(x_1 - 1.191127456311051); var myreldevnod0_1 = abs(x_1/1.191127456311051 - 1); var myabsdevnod0_2 = abs(x_2 - 1.362603164961742); var myreldevnod0_2 = abs(x_2/1.362603164961742 - 1); var myabsdevnod0_3 = abs(x_3 - 1.472817931512088); var myreldevnod0_3 = abs(x_3/1.472817931512088 - 1); var myabsdevnod0_4 = abs(x_4 - 1.635016619167993); var myreldevnod0_4 = abs(x_4/1.635016619167993 - 1); var myabsdevnod0_5 = abs(x_5 - 1.679081436166408); var myreldevnod0_5 = abs(x_5/1.679081436166408 - 1); var myabsdevnod1_0 = (1/2)*(abs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1)); var myreldevnod1_0 = (1/2)*(abs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1)); var myabsdevnod1_2 = (1/2)*(abs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3)); var myreldevnod1_2 = (1/2)*(abs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3)); var myabsdevnod1_4 = (1/2)*(abs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5)); var myreldevnod1_4 = (1/2)*(abs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5)); var myabsdevnod2_0 = (1/2)*(abs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2)); var myreldevnod2_0 = (1/2)*(abs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2)); var myabsdevnod2_4 = myabsdevnod1_4; var myreldevnod2_4 = myreldevnod1_4; var myabsdevnod3_0 = (1/2)*(abs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4)); var myreldevnod3_0 = (1/2)*(abs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4)); var zmyabsdevmax = myabsdevnod3_0; var zmyreldevmax = myreldevnod3_0; minimize obj: myminfun; subject to ce_1: x_1 + x_2^2 + x_3^3 - 2 - 3*sqrt(2) = 0; subject to ce_2: x_2 - x_3^2 + x_4 + 2 - 2*sqrt(2) = 0; subject to ce_3: x_1*x_5 - 2 = 0; solve; display x_1; display x_2; display x_3; display x_4; display x_5; display myminfun; display zmyabsdevmax; display zmyreldevmax; # End Model