pi/4 = 1*arctan(1/2) + 1*arctan(1/3)
pi/4 = 2*arctan(1/3) + 1*arctan(1/7)
pi/4 = 4*arctan(1/5) + -1*arctan(1/239)
pi/4 = 5*arctan(1/7) + 2*arctan(3/79)
pi/4 = 5*arctan(29/278) + 7*arctan(3/79)
pi/4 = 1*arctan(1/2) + 1*arctan(1/5) + 1*arctan(1/8)
pi/4 = 4*arctan(1/5) + -1*arctan(1/70) + 1*arctan(1/99)
pi/4 = 5*arctan(1/7) + 4*arctan(1/53) + 2*arctan(1/4443)
pi/4 = 6*arctan(1/8) + 2*arctan(1/57) + 1*arctan(1/239)
pi/4 = 8*arctan(1/10) + -1*arctan(1/239) + -4*arctan(1/515)
pi/4 = 12*arctan(1/18) + 8*arctan(1/57) + -5*arctan(1/239)
pi/4 = 16*arctan(1/21) + 3*arctan(1/239) + 4*arctan(3/1042)
pi/4 = 22*arctan(1/28) + 2*arctan(1/443) + -5*arctan(1/1393) + -10*arctan(1/11018)
pi/4 = 22*arctan(1/38) + 17*arctan(7/601) + 10*arctan(7/8149)
pi/4 = 44*arctan(1/57) + 7*arctan(1/239) + -12*arctan(1/682) + 24*arctan(1/12943)
pi/4 = 88*arctan(1/172) + 51*arctan(1/239) + 32*arctan(1/682) + 44*arctan(1/5357) + 68*arctan(1/12943)
pi/4 = 88*arctan(1/172) + 51*arctan(1/239) + 32*arctan(1/682) + 44*arctan(1/5357) + 68*arctan(1/12944) [INCORRECT]
