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fmcTitle("tp117r3"): # Source version 1 # Simple APM canonicalizer version 1.3 # FMCMAP backend version 1.2 myownabs := proc(x::algebraic) return(fmc_m_abs(x)): end proc: a24a := 4/10: a24b := 4: a24 := a24a: ivxhs_1 := 0.001: ivxhs_2 := 0.001: ivxhs_3 := 0.001: ivxhs_4 := 0.001: ivxhs_5 := 0.001: ivxhs_6 := 0.001: ivxhs_7 := 60: ivxhs_8 := 0.001: ivxhs_9 := 0.001: ivxhs_10 := 0.001: ivxhs_11 := 0.001: ivxhs_12 := 0.001: ivxhs_13 := 0.001: ivxhs_14 := 0.001: ivxhs_15 := 0.001: lbx_1 := 0: lbx_2 := 0: lbx_3 := 1: lbx_4 := 0: lbx_5 := 1: lbx_6 := 1: lbx_7 := 0: lbx_8 := 0: lbx_9 := 0.09: lbx_10 := 0: lbx_11 := 0.1: lbx_12 := 0.3: lbx_13 := 0.3: lbx_14 := 0.2: lbx_15 := 0.1: ivx_1 := (1/2)*(abs(ivxhs_1 - lbx_1) + (ivxhs_1 + lbx_1)): ivx_2 := (1/2)*(abs(ivxhs_2 - lbx_2) + (ivxhs_2 + lbx_2)): ivx_3 := (1/2)*(abs(ivxhs_3 - lbx_3) + (ivxhs_3 + lbx_3)): ivx_4 := (1/2)*(abs(ivxhs_4 - lbx_4) + (ivxhs_4 + lbx_4)): ivx_5 := (1/2)*(abs(ivxhs_5 - lbx_5) + (ivxhs_5 + lbx_5)): ivx_6 := (1/2)*(abs(ivxhs_6 - lbx_6) + (ivxhs_6 + lbx_6)): ivx_7 := (1/2)*(abs(ivxhs_7 - lbx_7) + (ivxhs_7 + lbx_7)): ivx_8 := (1/2)*(abs(ivxhs_8 - lbx_8) + (ivxhs_8 + lbx_8)): ivx_9 := (1/2)*(abs(ivxhs_9 - lbx_9) + (ivxhs_9 + lbx_9)): ivx_10 := (1/2)*(abs(ivxhs_10 - lbx_10) + (ivxhs_10 + lbx_10)): ivx_11 := (1/2)*(abs(ivxhs_11 - lbx_11) + (ivxhs_11 + lbx_11)): ivx_12 := (1/2)*(abs(ivxhs_12 - lbx_12) + (ivxhs_12 + lbx_12)): ivx_13 := (1/2)*(abs(ivxhs_13 - lbx_13) + (ivxhs_13 + lbx_13)): ivx_14 := (1/2)*(abs(ivxhs_14 - lbx_14) + (ivxhs_14 + lbx_14)): ivx_15 := (1/2)*(abs(ivxhs_15 - lbx_15) + (ivxhs_15 + lbx_15)): dx5bdx1 := 300/823: dx5bdx2 := (-430/823) + (50/823)*a24: dx5bdx4 := -360/823: dx5bdx7 := -85/823: dx5bdx8 := -260/823: dx5bdx10 := 85/823: dx5bdx13 := 300/823: dx9bdx1 := 313/3292: dx9bdx2 := (-869/1646) - (85/3292)*a24: dx9bdx4 := 153/823: dx9bdx7 := 139/823: dx9bdx8 := 221/1646: dx9bdx10 := -139/823: dx9bdx13 := -3008/823: dx11bdx1 := 359/13168: dx11bdx2 := (-271/6584) + (197/13168)*a24: dx11bdx4 := -95/1646: dx11bdx7 := -11/1646: dx11bdx8 := -183/6584: dx11bdx10 := 11/1646: dx11bdx13 := -29/823: fmcInitialValue(x_1, ivx_1): fmcStrongLowerBound(x_1, lbx_1): fmcInitialValue(x_2, ivx_2): fmcStrongLowerBound(x_2, lbx_2): fmcInitialValue(x_3, ivx_3): fmcStrongLowerBound(x_3, lbx_3): fmcInitialValue(x_4, ivx_4): fmcStrongLowerBound(x_4, lbx_4): fmcInitialValue(x_5, ivx_5): fmcStrongLowerBound(x_5, lbx_5): fmcInitialValue(x_6, ivx_6): fmcStrongLowerBound(x_6, lbx_6): fmcInitialValue(x_7, ivx_7): fmcStrongLowerBound(x_7, lbx_7): fmcInitialValue(x_8, ivx_8): fmcStrongLowerBound(x_8, lbx_8): fmcInitialValue(x_9, ivx_9): fmcStrongLowerBound(x_9, lbx_9): fmcInitialValue(x_10, ivx_10): fmcStrongLowerBound(x_10, lbx_10): fmcInitialValue(x_11, ivx_11): fmcStrongLowerBound(x_11, lbx_11): fmcInitialValue(x_12, ivx_12): fmcStrongLowerBound(x_12, lbx_12): fmcInitialValue(x_13, ivx_13): fmcStrongLowerBound(x_13, lbx_13): fmcInitialValue(x_14, ivx_14): fmcStrongLowerBound(x_14, lbx_14): fmcInitialValue(x_15, ivx_15): fmcStrongLowerBound(x_15, lbx_15): aux := 3453/13168 + (359/13168)*x_1 - (271/6584)*x_2 + (197/13168)*a24*x_2 - (95/1646)*x_4 - (11/1646)*x_7 - (183/6584)*x_8 + (11/1646)*x_10 + (2257/1646)*x_12 - (29/823)*x_13 - (2243/1646)*x_14 + (881/823)*x_15 - (243/1646)*x_12^2 - (1773/6584)*x_14^2 + (285/3292)*x_15^2: dx3bdx1 := (-57577/8230) - (1077/4115)*aux: dx3bdx2 := 415/823 - (575/1646)*a24 + (1626/4115)*aux - (591/4115)*a24*aux: dx3bdx4 := 1247/823 + (456/823)*aux: dx3bdx7 := (-1054/4115) + (264/4115)*aux: dx3bdx8 := (-151/823) + (1098/4115)*aux: dx3bdx10 := 1054/4115 - (264/4115)*aux: dx3bdx12 := (-7744/4115) + (4872/823)*x_12 - (54168/4115)*aux + (11664/4115)*aux*x_12: dx3bdx13 := 744/823 - 12*x_13 + (1392/4115)*aux: dx3bdx14 := 6392/4115 + (10350/823)*x_14 + (53832/4115)*aux + (21276/4115)*aux*x_14: dx3bdx15 := (-1488/823) - (1272/823)*x_15 - (42288/4115)*aux - (1368/823)*aux*x_15: dx5bdx12 := (-890/823) - (6000/823)*x_12: dx5bdx14 := 250/823 - (1800/823)*x_14: dx5bdx15 := (-600/823) + (1080/823)*x_15: dx6bdx1 := (-114319/32920) - (1077/8230)*aux: dx6bdx2 := (-291/3292) - (985/6584)*a24 + (813/4115)*aux - (591/8230)*a24*aux: dx6bdx4 := 2723/3292 + (228/823)*aux: dx6bdx7 := (-1919/8230) + (132/4115)*aux: dx6bdx8 := (-2377/3292)+ (549/4115)*aux: dx6bdx10 := 1919/8230 - (132/4115)*aux: dx6bdx12 := 59618/4115 + (2430/823)*x_12 - (27084/4115)*aux + (5832/4115)*aux*x_12: dx6bdx13 := (-6294/823) - 21*x_13 + (696/4115)*aux: dx6bdx14 := (-20464/4115) + (8865/1646)*x_14 + (26916/4115)*aux + (10638/4115)*aux*x_14: dx6bdx15 := 12588/823 + (1044/823)*x_15 - (21144/4115)*aux - (684/823)*aux*x_15: dx9bdx12 := 5522/823 - (2388/823)*x_12: dx9bdx14 := (-1958/823) + (765/823)*x_14: dx9bdx15 := 6016/823 + (2010/823)*x_15: dx11bdx12 := 2257/1646 - (243/823)*x_12: dx11bdx14 := (-2243/1646) - (1773/3292)*x_14: dx11bdx15 := 881/823 + (285/1646)*x_15: c_1 := (-42201/8230) + (57577/8230)*x_1 - (415/823)*x_2 + (575/1646)*a24*x_2 + x_3 - (1247/823)*x_4 + (1054/4115)*x_7 + (151/823)*x_8 - (1054/4115)*x_10 + (7744/4115)*x_12 - (744/823)*x_13 - (6392/4115)*x_14 + (1488/823)*x_15 - (2436/823)*x_12^2 + 6*x_13^2 - (5175/823)*x_14^2 + (636/823)*x_15^2 + (24/5)*aux^2: c_2 := (-3195/823) - (300/823)*x_1 + (430/823)*x_2 - (50/823)*a24*x_2 + (360/823)*x_4 + x_5 + (85/823)*x_7 + (260/823)*x_8 - (85/823)*x_10 + (890/823)*x_12 - (300/823)*x_13 - (250/823)*x_14 + (600/823)*x_15 + (3000/823)*x_12^2 + (900/823)*x_14^2 - (540/823)*x_15^2: c_3 := (-328467/32920) + (114319/32920)*x_1 + (291/3292)*x_2 + (985/6584)*a24*x_2 - (2723/3292)*x_4 + x_6 + (1919/8230)*x_7 + (2377/3292)*x_8 - (1919/8230)*x_10 - (59618/4115)*x_12 + (6294/823)*x_13 + (20464/4115)*x_14 - (12588/823)*x_15 - (1215/823)*x_12^2 + (21/2)*x_13^2 - (8865/3292)*x_14^2 - (522/823)*x_15^2 + (12/5)*aux^2: c_4 := 4197/3292 - (313/3292)*x_1 + (869/1646)*x_2 + (85/3292)*a24*x_2 - (153/823)*x_4 - (139/823)*x_7 - (221/1646)*x_8 + x_9 + (139/823)*x_10 - (5522/823)*x_12 + (3008/823)*x_13 + (1958/823)*x_14 - (6016/823)*x_15 + (1194/823)*x_12^2 - (765/1646)*x_14^2 - (1005/823)*x_15^2: c_5 := (-3453/13168) - (359/13168)*x_1 + (271/6584)*x_2 - (197/13168)*a24*x_2 + (95/1646)*x_4 + (11/1646)*x_7 + (183/6584)*x_8 - (11/1646)*x_10 + x_11 - (2257/1646)*x_12 + (29/823)*x_13 + (2243/1646)*x_14 - (881/823)*x_15 + (243/1646)*x_12^2 + (1773/6584)*x_14^2 - (285/3292)*x_15^2: c_6 := (40 + (1/4)*dx3bdx1 + 4*dx5bdx1 + dx6bdx1 - 5*dx9bdx1 + 60*dx11bdx1*x_11 - 40*dx11bdx1*x_12 - 20*dx11bdx1*x_13 + 64*dx11bdx1*x_14 - 20*dx11bdx1*x_15 + 24*dx11bdx1*x_11^2)*x_1: c_7 := (2 + (1/4)*dx3bdx2 + 4*dx5bdx2 + dx6bdx2 - 5*dx9bdx2 + 60*dx11bdx2*x_11 - 40*dx11bdx2*x_12 - 20*dx11bdx2*x_13 + 64*dx11bdx2*x_14 - 20*dx11bdx2*x_15 + 24*dx11bdx2*x_11^2)*x_2: c_8 := (4 + (1/4)*dx3bdx4 + 4*dx5bdx4 + dx6bdx4 - 5*dx9bdx4 + 60*dx11bdx4*x_11 - 40*dx11bdx4*x_12 - 20*dx11bdx4*x_13 + 64*dx11bdx4*x_14 - 20*dx11bdx4*x_15 + 24*dx11bdx4*x_11^2)*x_4: c_9 := (40 + (1/4)*dx3bdx7 + 4*dx5bdx7 + dx6bdx7 - 5*dx9bdx7 + 60*dx11bdx7*x_11 - 40*dx11bdx7*x_12 - 20*dx11bdx7*x_13 + 64*dx11bdx7*x_14 - 20*dx11bdx7*x_15 + 24*dx11bdx7*x_11^2)*x_7: c_10 := (60 + (1/4)*dx3bdx8 + 4*dx5bdx8 + dx6bdx8 - 5*dx9bdx8 + 60*dx11bdx8*x_11 - 40*dx11bdx8*x_12 - 20*dx11bdx8*x_13 + 64*dx11bdx8*x_14 - 20*dx11bdx8*x_15 + 24*dx11bdx8*x_11^2)*x_8: c_11 := ((-1) + (1/4)*dx3bdx10 + 4*dx5bdx10 + dx6bdx10 - 5*dx9bdx10 + 60*dx11bdx10*x_11 - 40*dx11bdx10*x_12 - 20*dx11bdx10*x_13 + 64*dx11bdx10*x_14 - 20*dx11bdx10*x_15 + 24*dx11bdx10*x_11^2)*x_10: c_12 := (1/4)*dx3bdx12 + 4*dx5bdx12 + dx6bdx12 - 5*dx9bdx12 - 40*x_11 + 78*x_12 - 12*x_13 - 62*x_14 + 64*x_15 + 60*dx11bdx12*x_11 - 40*dx11bdx12*x_12 - 20*dx11bdx12*x_13 + 64*dx11bdx12*x_14 - 20*dx11bdx12*x_15 + 48*x_12^2 + 24*dx11bdx12*x_11^2: c_13 := (1/4)*dx3bdx13 + 4*dx5bdx13 + dx6bdx13 - 5*dx9bdx13 - 20*x_11 - 12*x_12 + 20*x_13 - 12*x_14 - 20*x_15 + 60*dx11bdx13*x_11 - 40*dx11bdx13*x_12 - 20*dx11bdx13*x_13 + 64*dx11bdx13*x_14 - 20*dx11bdx13*x_15 + 60*x_13^2 + 24*dx11bdx13*x_11^2: c_14 := (1/4)*dx3bdx14 + 4*dx5bdx14 + dx6bdx14 - 5*dx9bdx14 + 64*x_11 - 62*x_12 - 12*x_13 + 78*x_14 - 40*x_15 + 60*dx11bdx14*x_11 - 40*dx11bdx14*x_12 - 20*dx11bdx14*x_13 + 64*dx11bdx14*x_14 - 20*dx11bdx14*x_15 + 36*x_14^2 + 24*dx11bdx14*x_11^2: c_15 := (1/4)*dx3bdx15 + 4*dx5bdx15 + dx6bdx15 - 5*dx9bdx15 - 20*x_11 + 64*x_12 - 20*x_13 - 40*x_14 + 60*x_15 + 60*dx11bdx15*x_11 - 40*dx11bdx15*x_12 - 20*dx11bdx15*x_13 + 64*dx11bdx15*x_14 - 20*dx11bdx15*x_15 + 12*x_15^2 + 24*dx11bdx15*x_11^2: mf := 40*x_1 + 2*x_2 + (1/4)*x_3 + 4*x_4 + 4*x_5 + x_6 + 40*x_7 + 60*x_8 - 5*x_9 - x_10 + 30*x_11^2 - 40*x_11*x_12 - 20*x_11*x_13 + 64*x_11*x_14 - 20*x_11*x_15 + 39*x_12^2 - 12*x_12*x_13 - 62*x_12*x_14 + 64*x_12*x_15 + 10*x_13^2 - 12*x_13*x_14 - 20*x_13*x_15 + 39*x_14^2 - 40*x_14*x_15 + 30*x_15^2 + 8*x_11^3 + 16*x_12^3 + 20*x_13^3 + 12*x_14^3 + 4*x_15^3: myminfun := mf: myabsdevnod0_0 := myownabs(myminfun - 32.34867896572271): myreldevnod0_0 := myownabs(myminfun/32.34867896572271 - 1): myabsdevnod0_1 := myownabs(x_1): myreldevnod0_1 := myownabs(x_1): myabsdevnod0_2 := myownabs(x_2): myreldevnod0_2 := myownabs(x_2): myabsdevnod0_3 := myownabs(x_3 - 5.174040727698173): myreldevnod0_3 := myownabs(x_3/5.174040727698173 - 1): myabsdevnod0_4 := myownabs(x_4): myreldevnod0_4 := myownabs(x_4): myabsdevnod0_5 := myownabs(x_5 - 3.06110868775845): myreldevnod0_5 := myownabs(x_5/3.06110868775845 - 1): myabsdevnod0_6 := myownabs(x_6 - 11.83954566480073): myreldevnod0_6 := myownabs(x_6/11.83954566480073 - 1): myabsdevnod0_7 := myownabs(x_7): myreldevnod0_7 := myownabs(x_7): myabsdevnod0_8 := myownabs(x_8): myreldevnod0_8 := myownabs(x_8): myabsdevnod0_9 := myownabs(x_9 - 0.1038961907706158): myreldevnod0_9 := myownabs(x_9/0.1038961907706158 - 1): myabsdevnod0_10 := myownabs(x_10): myreldevnod0_10 := myownabs(x_10): myabsdevnod0_11 := myownabs(x_11 - 0.3): myreldevnod0_11 := myownabs(x_11/0.3 - 1): myabsdevnod0_12 := myownabs(x_12 - 0.3334676065346071): myreldevnod0_12 := myownabs(x_12/0.3334676065346071 - 1): myabsdevnod0_13 := myownabs(x_13 - 0.4): myreldevnod0_13 := myownabs(x_13/0.4 - 1): myabsdevnod0_14 := myownabs(x_14 - 0.4283101047816988): myreldevnod0_14 := myownabs(x_14/0.4283101047816988 - 1): myabsdevnod0_15 := myownabs(x_15 - 0.2239648735607981): myreldevnod0_15 := myownabs(x_15/0.2239648735607981 - 1): myabsdevnod1_0 := (1/2)*(myownabs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1)): myreldevnod1_0 := (1/2)*(myownabs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1)): myabsdevnod1_2 := (1/2)*(myownabs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3)): myreldevnod1_2 := (1/2)*(myownabs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3)): myabsdevnod1_4 := (1/2)*(myownabs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5)): myreldevnod1_4 := (1/2)*(myownabs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5)): myabsdevnod1_6 := (1/2)*(myownabs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7)): myreldevnod1_6 := (1/2)*(myownabs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7)): myabsdevnod1_8 := (1/2)*(myownabs(myabsdevnod0_8 - myabsdevnod0_9) + (myabsdevnod0_8 + myabsdevnod0_9)): myreldevnod1_8 := (1/2)*(myownabs(myreldevnod0_8 - myreldevnod0_9) + (myreldevnod0_8 + myreldevnod0_9)): myabsdevnod1_10 := (1/2)*(myownabs(myabsdevnod0_10 - myabsdevnod0_11) + (myabsdevnod0_10 + myabsdevnod0_11)): myreldevnod1_10 := (1/2)*(myownabs(myreldevnod0_10 - myreldevnod0_11) + (myreldevnod0_10 + myreldevnod0_11)): myabsdevnod1_12 := (1/2)*(myownabs(myabsdevnod0_12 - myabsdevnod0_13) + (myabsdevnod0_12 + myabsdevnod0_13)): myreldevnod1_12 := (1/2)*(myownabs(myreldevnod0_12 - myreldevnod0_13) + (myreldevnod0_12 + myreldevnod0_13)): myabsdevnod1_14 := (1/2)*(myownabs(myabsdevnod0_14 - myabsdevnod0_15) + (myabsdevnod0_14 + myabsdevnod0_15)): myreldevnod1_14 := (1/2)*(myownabs(myreldevnod0_14 - myreldevnod0_15) + (myreldevnod0_14 + myreldevnod0_15)): myabsdevnod2_0 := (1/2)*(myownabs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2)): myreldevnod2_0 := (1/2)*(myownabs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2)): myabsdevnod2_4 := (1/2)*(myownabs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6)): myreldevnod2_4 := (1/2)*(myownabs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6)): myabsdevnod2_8 := (1/2)*(myownabs(myabsdevnod1_8 - myabsdevnod1_10) + (myabsdevnod1_8 + myabsdevnod1_10)): myreldevnod2_8 := (1/2)*(myownabs(myreldevnod1_8 - myreldevnod1_10) + (myreldevnod1_8 + myreldevnod1_10)): myabsdevnod2_12 := (1/2)*(myownabs(myabsdevnod1_12 - myabsdevnod1_14) + (myabsdevnod1_12 + myabsdevnod1_14)): myreldevnod2_12 := (1/2)*(myownabs(myreldevnod1_12 - myreldevnod1_14) + (myreldevnod1_12 + myreldevnod1_14)): myabsdevnod3_0 := (1/2)*(myownabs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4)): myreldevnod3_0 := (1/2)*(myownabs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4)): myabsdevnod3_8 := (1/2)*(myownabs(myabsdevnod2_8 - myabsdevnod2_12) + (myabsdevnod2_8 + myabsdevnod2_12)): myreldevnod3_8 := (1/2)*(myownabs(myreldevnod2_8 - myreldevnod2_12) + (myreldevnod2_8 + myreldevnod2_12)): myabsdevnod4_0 := (1/2)*(myownabs(myabsdevnod3_0 - myabsdevnod3_8) + (myabsdevnod3_0 + myabsdevnod3_8)): myreldevnod4_0 := (1/2)*(myownabs(myreldevnod3_0 - myreldevnod3_8) + (myreldevnod3_0 + myreldevnod3_8)): zmyabsdevmax := myabsdevnod4_0: zmyreldevmax := myreldevnod4_0: obj := myminfun: fmcMinimum(obj): fmcEquality(ce_1, c_1): fmcEquality(ce_2, c_2): fmcEquality(ce_3, c_3): fmcEquality(ce_4, c_4): fmcEquality(ce_5, c_5): fmcEquality(ce_6, c_6): fmcEquality(ce_7, c_7): fmcEquality(ce_8, c_8): fmcEquality(ce_9, c_9): fmcEquality(ce_10, c_10): fmcEquality(ce_11, c_11): fmcEquality(ce_12, c_12): fmcEquality(ce_13, c_13): fmcEquality(ce_14, c_14): fmcEquality(ce_15, c_15): fmcEscortFloat(x_1, x_1): fmcEscortFloat(x_2, x_2): fmcEscortFloat(x_3, x_3): fmcEscortFloat(x_4, x_4): fmcEscortFloat(x_5, x_5): fmcEscortFloat(x_6, x_6): fmcEscortFloat(x_7, x_7): fmcEscortFloat(x_8, x_8): fmcEscortFloat(x_9, x_9): fmcEscortFloat(x_10, x_10): fmcEscortFloat(x_11, x_11): fmcEscortFloat(x_12, x_12): fmcEscortFloat(x_13, x_13): fmcEscortFloat(x_14, x_14): fmcEscortFloat(x_15, x_15): fmcEscortFloat('myminfun', myminfun): fmcEscortFloat('zmyabsdevmax', zmyabsdevmax): fmcEscortFloat('zmyreldevmax', zmyreldevmax): fmcControlMinimum(1, 0): # End Model