Expression 3: "f" left parenthesis, "i" , right parenthesis equals sgn left parenthesis, Start product from "b" equals 7 to floor left parenthesis, StartRoot, "i" , EndRoot , right parenthesis , end product, mod left parenthesis, "i" , "b" squared , right parenthesis , right parenthesis left parenthesis, Start sum from "s" equals 1 to 3, end sum, left parenthesis, 1 minus StartAbsoluteValue, sgn left parenthesis, "i" minus 0.5 "s" squared plus 0.5 "s" minus 2 , right parenthesis , EndAbsoluteValue , right parenthesis plus left parenthesis, 1 minus Start product from "j" equals 1 to 8, end product, sgn left parenthesis, StartAbsoluteValue, mod left parenthesis, "i" , 60 , right parenthesis minus round left parenthesis, negative StartFraction, 4 Over 90 , EndFraction "j" to the 6th power plus StartFraction, 61 Over 50 , EndFraction "j" to the 5th power minus StartFraction, 657 Over 50 , EndFraction "j" to the 4th power plus 70.1 3 "j" cubed minus 962 fifths "j" squared plus 260 "j" minus 124.5 , right parenthesis , EndAbsoluteValue , right parenthesis , right parenthesis StartAbsoluteValue, sin left parenthesis, StartFraction, pi Over 2 , EndFraction Start sum from "X" equals 0 to floor left parenthesis, StartFraction, StartRoot, "i" , EndRoot Over 2 , EndFraction , right parenthesis , end sum, left parenthesis, 1 minus sgn left parenthesis, mod left parenthesis, StartRoot, "i" minus 4 "X" squared , EndRoot , 1 , right parenthesis , right parenthesis , right parenthesis , right parenthesis , EndAbsoluteValue plus left parenthesis, 1 minus Start product from "k" equals 1 to 4, end product, sgn left parenthesis, StartAbsoluteValue, mod left parenthesis, "i" , 60 , right parenthesis minus left parenthesis, 12 "k" minus 5 , right parenthesis , EndAbsoluteValue , right parenthesis , right parenthesis StartAbsoluteValue, sin left parenthesis, StartFraction, pi Over 2 , EndFraction Start sum from "X" equals 0 to floor left parenthesis, StartRoot, StartFraction, "i" Over 3 , EndFraction , EndRoot , right parenthesis , end sum, left parenthesis, 1 minus sgn left parenthesis, mod left parenthesis, StartRoot, "i" minus 3 "X" squared , EndRoot , 1 , right parenthesis , right parenthesis , right parenthesis , right parenthesis , EndAbsoluteValue plus left parenthesis, 1 minus Start product from "l" equals 1 to 4, end product, sgn left parenthesis, StartAbsoluteValue, mod left parenthesis, "i" , 60 , right parenthesis minus round left parenthesis, 24sin left parenthesis, "l" minus 2.5 , right parenthesis plus 35 , right parenthesis , EndAbsoluteValue , right parenthesis , right parenthesis StartAbsoluteValue, sin left parenthesis, StartFraction, pi Over 2 , EndFraction Start sum from "X" equals ceil left parenthesis, StartRoot, StartFraction, "i" Over 3 , EndFraction , EndRoot , right parenthesis to sgn left parenthesis, mod left parenthesis, StartRoot, StartFraction, "i" Over 2 , EndFraction , EndRoot , 1 , right parenthesis , right parenthesis left parenthesis, floor left parenthesis, StartRoot, StartFraction, "i" Over 2 , EndFraction , EndRoot , right parenthesis minus StartRoot, StartFraction, "i" Over 2 , EndFraction , EndRoot plus 1 , right parenthesis plus StartRoot, StartFraction, "i" Over 2 , EndFraction , EndRoot minus 1, end sum, left parenthesis, 1 minus sgn left parenthesis, mod left parenthesis, StartRoot, 3 "X" squared minus "i" , EndRoot , 1 , right parenthesis , right parenthesis , right parenthesis , right parenthesis , EndAbsoluteValue , right parenthesisfi=sgnfloori∏b=7modi,b23∑s=11−sgni−0.5s2+0.5s−2+1−8∏j=1sgnmodi,60−round−490j6+6150j5−65750j4+70.13j3−9625j2+260j−124.5sinπ2floori2∑X=01−sgnmodi−4X2,1+1−4∏k=1sgnmodi,60−12k−5sinπ2floori3∑X=01−sgnmodi−3X2,1+1−4∏l=1sgnmodi,60−round24sinl−2.5+35sinπ2sgnmodi2,1floori2−i2+1+i2−1∑X=ceili31−sgnmod3X2−i,1
3
Expression 4: "f" left parenthesis, 9007199254740881 , right parenthesisf9007199254740881