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Maxima src code

 /* batch file = script for Maxima */

 /* ---------------- definition of functions -------------------- */

 /* boolean escape time */
 bEscapeTime(x):=
 block
 (
 [i:0],
 while (abs(x)<ER) and (i<iMax) do 
 (x:x*x,
 i:i+1),
 if i=iMax 	
  then return(1)
  else return(0)
 );

 /* integer escape time */ 
 iEscapeTime(x):=
 block(
 [i:0],
 while (abs(x)<ER) and (i<iMax) do 
 (x:x*x,
 i:i+1),
 return(i)
 );
 /* log2(x)=log(x)/log(2) 
 input should be x>0 !!!!!!!
 */
 log2(x):= float(log(x)/log(2));

 
 /* real escape time */
 rEscapeTime(x):=
 block
 (
 [i:0],
 while (abs(x)<ER) and (i<iMax) do 
 (x:x*x,
 i:i+1),
 if (i=iMax) then return(i) /* prevent log(0) error */
 elseif (i=0) then return(0) /* prevent negative output */
 else return(i-log2(log2(x)))
 );

 /* ------------------- global variables ------------------------------*/
 xMin:0.5;
 xMax:2.5; /* */
 iMax:10;
 ER:2.0;

 /* ----------------------- drawing ------------------------------------*/
 my_preamble: "set xzeroaxis; set ytics (0,1,2,3,4,5,'iMax' 10); set xtics (0,1,'ER' 2,3); set title 'Escape Time for X(n+1)=X(n)*X(n) for iMax=10  ER=2'";
 plot2d([bEscapeTime,iEscapeTime,rEscapeTime],[x,xMin,xMax],[y,-1,iMax+1],[ylabel, "EscapeTime"],[gnuplot_preamble, my_preamble]);