8.203 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.012 * * * [progress]: [2/2] Setting up program.
0.014 * [progress]: [Phase 2 of 3] Improving.
0.014 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (sqrt (* (* 2.0 x) x))
0.015 * * [simplify]: iteration  0 :  5  enodes  (cost  6 )
0.016 * * [simplify]: iteration  1 :  9  enodes  (cost  6 )
0.017 * * [simplify]: iteration  2 :  10  enodes  (cost  6 )
0.018 * * [simplify]: iteration  done :  10  enodes  (cost  6 )
0.018 * [simplify]: Simplified to:
   (sqrt (* (* 2.0 x) x))
0.018 * * [progress]: iteration 1 / 4
0.018 * * * [progress]: picking best candidate
0.020 * * * * [pick]: Picked  #<alt (λ (x) (sqrt (* (* 2.0 x) x)))>
0.020 * * * [progress]: localizing error
0.024 * * * [progress]: generating rewritten candidates
0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.029 * * * [progress]: generating series expansions
0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.029 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0
0.029 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
0.029 * [taylor]: Taking taylor expansion of x in x
0.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
0.029 * [taylor]: Taking taylor expansion of 2.0 in x
0.029 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
0.029 * [taylor]: Taking taylor expansion of x in x
0.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
0.029 * [taylor]: Taking taylor expansion of 2.0 in x
0.030 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
0.030 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
0.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
0.030 * [taylor]: Taking taylor expansion of 2.0 in x
0.030 * [taylor]: Taking taylor expansion of x in x
0.030 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
0.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
0.030 * [taylor]: Taking taylor expansion of 2.0 in x
0.030 * [taylor]: Taking taylor expansion of x in x
0.031 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
0.032 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
0.032 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
0.032 * [taylor]: Taking taylor expansion of 2.0 in x
0.032 * [taylor]: Taking taylor expansion of x in x
0.032 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
0.032 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
0.032 * [taylor]: Taking taylor expansion of 2.0 in x
0.032 * [taylor]: Taking taylor expansion of x in x
0.033 * * * [progress]: simplifying candidates
0.033 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (log (sqrt (* (* 2.0 x) x)))
  (exp (sqrt (* (* 2.0 x) x)))
  (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))
  (cbrt (sqrt (* (* 2.0 x) x)))
  (* (* (sqrt (* (* 2.0 x) x)) (sqrt (* (* 2.0 x) x))) (sqrt (* (* 2.0 x) x)))
  (sqrt (* 2.0 x))
  (sqrt x)
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (* -1 (* x (sqrt 2.0)))
0.034 * * [simplify]: iteration  0 :  21  enodes  (cost  99 )
0.036 * * [simplify]: iteration  1 :  34  enodes  (cost  84 )
0.040 * * [simplify]: iteration  2 :  62  enodes  (cost  80 )
0.046 * * [simplify]: iteration  3 :  80  enodes  (cost  80 )
0.054 * * [simplify]: iteration  4 :  88  enodes  (cost  80 )
0.067 * * [simplify]: iteration  5 :  100  enodes  (cost  80 )
0.076 * * [simplify]: iteration  6 :  124  enodes  (cost  80 )
0.090 * * [simplify]: iteration  7 :  187  enodes  (cost  80 )
0.124 * * [simplify]: iteration  8 :  397  enodes  (cost  80 )
0.247 * * [simplify]: iteration  9 :  1338  enodes  (cost  80 )
0.798 * * [simplify]: iteration  done :  5000  enodes  (cost  80 )
0.798 * [simplify]: Simplified to:
   (log (sqrt (* (* 2.0 x) x)))
  (exp (sqrt (* (* 2.0 x) x)))
  (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))
  (cbrt (sqrt (* (* 2.0 x) x)))
  (pow (sqrt (* (* 2.0 x) x)) 3)
  (sqrt (* 2.0 x))
  (sqrt x)
  1/2
  1/2
  1/2
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (neg (* x (sqrt 2.0)))
0.798 * * * [progress]: adding candidates to table
0.824 * * [progress]: iteration 2 / 4
0.824 * * * [progress]: picking best candidate
0.846 * * * * [pick]: Picked  #<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))>
0.846 * * * [progress]: localizing error
0.853 * * * [progress]: generating rewritten candidates
0.853 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.859 * * * [progress]: generating series expansions
0.860 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.860 * [approximate]: Taking taylor expansion of (pow (* 2.0 (pow x 2)) 1/2) in (x) around 0
0.860 * [taylor]: Taking taylor expansion of (pow (* 2.0 (pow x 2)) 1/2) in x
0.860 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (pow x 2))))) in x
0.860 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (pow x 2)))) in x
0.860 * [taylor]: Taking taylor expansion of 1/2 in x
0.860 * [taylor]: Taking taylor expansion of (log (* 2.0 (pow x 2))) in x
0.860 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x
0.860 * [taylor]: Taking taylor expansion of 2.0 in x
0.860 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.860 * [taylor]: Taking taylor expansion of x in x
0.861 * [taylor]: Taking taylor expansion of (pow (* 2.0 (pow x 2)) 1/2) in x
0.861 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (pow x 2))))) in x
0.861 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (pow x 2)))) in x
0.861 * [taylor]: Taking taylor expansion of 1/2 in x
0.861 * [taylor]: Taking taylor expansion of (log (* 2.0 (pow x 2))) in x
0.861 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x
0.861 * [taylor]: Taking taylor expansion of 2.0 in x
0.861 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.861 * [taylor]: Taking taylor expansion of x in x
0.870 * [approximate]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in (x) around 0
0.870 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in x
0.870 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 2.0 (pow x 2))))) in x
0.870 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 2.0 (pow x 2)))) in x
0.870 * [taylor]: Taking taylor expansion of 1/2 in x
0.870 * [taylor]: Taking taylor expansion of (log (/ 2.0 (pow x 2))) in x
0.870 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x
0.870 * [taylor]: Taking taylor expansion of 2.0 in x
0.870 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.870 * [taylor]: Taking taylor expansion of x in x
0.870 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in x
0.870 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 2.0 (pow x 2))))) in x
0.870 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 2.0 (pow x 2)))) in x
0.870 * [taylor]: Taking taylor expansion of 1/2 in x
0.870 * [taylor]: Taking taylor expansion of (log (/ 2.0 (pow x 2))) in x
0.870 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x
0.870 * [taylor]: Taking taylor expansion of 2.0 in x
0.870 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.870 * [taylor]: Taking taylor expansion of x in x
0.878 * [approximate]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in (x) around 0
0.878 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in x
0.878 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 2.0 (pow x 2))))) in x
0.878 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 2.0 (pow x 2)))) in x
0.878 * [taylor]: Taking taylor expansion of 1/2 in x
0.878 * [taylor]: Taking taylor expansion of (log (/ 2.0 (pow x 2))) in x
0.878 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x
0.878 * [taylor]: Taking taylor expansion of 2.0 in x
0.878 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.878 * [taylor]: Taking taylor expansion of x in x
0.879 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in x
0.879 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 2.0 (pow x 2))))) in x
0.879 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 2.0 (pow x 2)))) in x
0.879 * [taylor]: Taking taylor expansion of 1/2 in x
0.879 * [taylor]: Taking taylor expansion of (log (/ 2.0 (pow x 2))) in x
0.879 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x
0.879 * [taylor]: Taking taylor expansion of 2.0 in x
0.879 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.879 * [taylor]: Taking taylor expansion of x in x
0.887 * * * [progress]: simplifying candidates
0.887 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (* (+ (+ (log 2.0) (log x)) (log x)) 1/2)
  (* (+ (log (* 2.0 x)) (log x)) 1/2)
  (* (log (* (* 2.0 x) x)) 1/2)
  (* (log (* (* 2.0 x) x)) 1/2)
  (* 1 1/2)
  (* 1 1/2)
  (* 1 1/2)
  (pow (* (* 2.0 x) x) (* (cbrt 1/2) (cbrt 1/2)))
  (pow (* (* 2.0 x) x) (sqrt 1/2))
  (pow (* (* 2.0 x) x) 1)
  (pow (* 2.0 x) 1/2)
  (pow x 1/2)
  (log (pow (* (* 2.0 x) x) 1/2))
  (exp (pow (* (* 2.0 x) x) 1/2))
  (* (cbrt (pow (* (* 2.0 x) x) 1/2)) (cbrt (pow (* (* 2.0 x) x) 1/2)))
  (cbrt (pow (* (* 2.0 x) x) 1/2))
  (* (* (pow (* (* 2.0 x) x) 1/2) (pow (* (* 2.0 x) x) 1/2)) (pow (* (* 2.0 x) x) 1/2))
  (sqrt (pow (* (* 2.0 x) x) 1/2))
  (sqrt (pow (* (* 2.0 x) x) 1/2))
  (pow (* (* 2.0 x) x) (/ 1/2 2))
  (pow (* (* 2.0 x) x) (/ 1/2 2))
  (exp (* 1/2 (+ (log 2.0) (* 2 (log x)))))
  (exp (* 1/2 (- (log 2.0) (* 2 (log (/ 1 x))))))
  (exp (* 1/2 (- (log 2.0) (* 2 (log (/ -1 x))))))
0.889 * * [simplify]: iteration  0 :  53  enodes  (cost  210 )
0.896 * * [simplify]: iteration  1 :  120  enodes  (cost  172 )
0.910 * * [simplify]: iteration  2 :  266  enodes  (cost  164 )
0.952 * * [simplify]: iteration  3 :  691  enodes  (cost  155 )
1.183 * * [simplify]: iteration  4 :  3124  enodes  (cost  125 )
1.799 * * [simplify]: iteration  done :  5000  enodes  (cost  125 )
1.799 * [simplify]: Simplified to:
   (log (* x (sqrt 2.0)))
  (log (* x (sqrt 2.0)))
  (log (* x (sqrt 2.0)))
  (log (* x (sqrt 2.0)))
  1/2
  1/2
  1/2
  (pow (* (* 2.0 x) x) (* (cbrt 1/2) (cbrt 1/2)))
  (pow (* (* 2.0 x) x) (sqrt 1/2))
  (* 2.0 (* x x))
  (sqrt (* 2.0 x))
  (sqrt x)
  (log (* x (sqrt 2.0)))
  (exp (* x (sqrt 2.0)))
  (* (cbrt (* x (sqrt 2.0))) (cbrt (* x (sqrt 2.0))))
  (cbrt (* x (sqrt 2.0)))
  (pow (* x (sqrt 2.0)) 3)
  (sqrt (* x (sqrt 2.0)))
  (sqrt (* x (sqrt 2.0)))
  (pow (* 2.0 (* x x)) 1/4)
  (pow (* 2.0 (* x x)) 1/4)
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (* (sqrt 2.0) (pow (/ -1 x) -1))
1.799 * * * [progress]: adding candidates to table
1.824 * * [progress]: iteration 3 / 4
1.824 * * * [progress]: picking best candidate
1.846 * * * * [pick]: Picked  #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))>
1.846 * * * [progress]: localizing error
1.853 * * * [progress]: generating rewritten candidates
1.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
1.865 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.882 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
1.894 * * * [progress]: generating series expansions
1.894 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
1.894 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0
1.894 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
1.894 * [taylor]: Taking taylor expansion of x in x
1.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.895 * [taylor]: Taking taylor expansion of 2.0 in x
1.895 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
1.895 * [taylor]: Taking taylor expansion of x in x
1.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.895 * [taylor]: Taking taylor expansion of 2.0 in x
1.896 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
1.896 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.896 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.896 * [taylor]: Taking taylor expansion of 2.0 in x
1.896 * [taylor]: Taking taylor expansion of x in x
1.896 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.896 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.896 * [taylor]: Taking taylor expansion of 2.0 in x
1.896 * [taylor]: Taking taylor expansion of x in x
1.897 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
1.897 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.897 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.897 * [taylor]: Taking taylor expansion of 2.0 in x
1.897 * [taylor]: Taking taylor expansion of x in x
1.897 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.897 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.897 * [taylor]: Taking taylor expansion of 2.0 in x
1.897 * [taylor]: Taking taylor expansion of x in x
1.898 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
1.899 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0
1.899 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
1.899 * [taylor]: Taking taylor expansion of x in x
1.899 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.899 * [taylor]: Taking taylor expansion of 2.0 in x
1.899 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
1.899 * [taylor]: Taking taylor expansion of x in x
1.899 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.899 * [taylor]: Taking taylor expansion of 2.0 in x
1.900 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
1.900 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.900 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.900 * [taylor]: Taking taylor expansion of 2.0 in x
1.900 * [taylor]: Taking taylor expansion of x in x
1.900 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.900 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.900 * [taylor]: Taking taylor expansion of 2.0 in x
1.900 * [taylor]: Taking taylor expansion of x in x
1.901 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
1.901 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.901 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.901 * [taylor]: Taking taylor expansion of 2.0 in x
1.901 * [taylor]: Taking taylor expansion of x in x
1.901 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.901 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.901 * [taylor]: Taking taylor expansion of 2.0 in x
1.902 * [taylor]: Taking taylor expansion of x in x
1.903 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.903 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0
1.903 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
1.903 * [taylor]: Taking taylor expansion of x in x
1.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.903 * [taylor]: Taking taylor expansion of 2.0 in x
1.903 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
1.903 * [taylor]: Taking taylor expansion of x in x
1.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.903 * [taylor]: Taking taylor expansion of 2.0 in x
1.904 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
1.904 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.904 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.904 * [taylor]: Taking taylor expansion of 2.0 in x
1.904 * [taylor]: Taking taylor expansion of x in x
1.905 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.905 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.905 * [taylor]: Taking taylor expansion of 2.0 in x
1.905 * [taylor]: Taking taylor expansion of x in x
1.906 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
1.906 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.906 * [taylor]: Taking taylor expansion of 2.0 in x
1.906 * [taylor]: Taking taylor expansion of x in x
1.907 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.907 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.907 * [taylor]: Taking taylor expansion of 2.0 in x
1.907 * [taylor]: Taking taylor expansion of x in x
1.908 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
1.908 * [approximate]: Taking taylor expansion of (sqrt (* x (sqrt 2.0))) in (x) around 0
1.908 * [taylor]: Taking taylor expansion of (sqrt (* x (sqrt 2.0))) in x
1.908 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
1.908 * [taylor]: Taking taylor expansion of x in x
1.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.908 * [taylor]: Taking taylor expansion of 2.0 in x
1.908 * [taylor]: Taking taylor expansion of (sqrt (* x (sqrt 2.0))) in x
1.908 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
1.908 * [taylor]: Taking taylor expansion of x in x
1.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.908 * [taylor]: Taking taylor expansion of 2.0 in x
1.910 * [approximate]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in (x) around 0
1.910 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x
1.910 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.910 * [taylor]: Taking taylor expansion of 2.0 in x
1.910 * [taylor]: Taking taylor expansion of x in x
1.910 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x
1.910 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.911 * [taylor]: Taking taylor expansion of 2.0 in x
1.911 * [taylor]: Taking taylor expansion of x in x
1.912 * [approximate]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in (x) around 0
1.912 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x
1.912 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.912 * [taylor]: Taking taylor expansion of 2.0 in x
1.912 * [taylor]: Taking taylor expansion of x in x
1.912 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x
1.912 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
1.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
1.912 * [taylor]: Taking taylor expansion of 2.0 in x
1.913 * [taylor]: Taking taylor expansion of x in x
1.914 * * * [progress]: simplifying candidates
1.916 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (log (sqrt (* (* 2.0 x) x)))
  (exp (sqrt (* (* 2.0 x) x)))
  (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))
  (cbrt (sqrt (* (* 2.0 x) x)))
  (* (* (sqrt (* (* 2.0 x) x)) (sqrt (* (* 2.0 x) x))) (sqrt (* (* 2.0 x) x)))
  (sqrt (* 2.0 x))
  (sqrt x)
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (log (sqrt (* (* 2.0 x) x)))
  (exp (sqrt (* (* 2.0 x) x)))
  (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))
  (cbrt (sqrt (* (* 2.0 x) x)))
  (* (* (sqrt (* (* 2.0 x) x)) (sqrt (* (* 2.0 x) x))) (sqrt (* (* 2.0 x) x)))
  (sqrt (* 2.0 x))
  (sqrt x)
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (* (* 2.0 x) x)) (sqrt (* (* 2.0 x) x)))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))
  (* (* (* 2.0 x) x) (* (* 2.0 x) x))
  (* (sqrt (* (* 2.0 x) x)) (sqrt (* (* 2.0 x) x)))
  (* (* (* 2.0 x) x) (* (* 2.0 x) x))
  (* (* (* 2.0 x) x) (* (* 2.0 x) x))
  (* (* (* 2.0 x) x) (* (* 2.0 x) x))
  (* (* (* 2.0 x) x) (* (* 2.0 x) x))
  (* (* (* 2.0 x) x) (* (* 2.0 x) x))
  (* (* (* 2.0 x) x) (* (* 2.0 x) x))
  (* (* (* 2.0 x) x) (* (* 2.0 x) x))
  (* (* (* 2.0 x) x) (* (* 2.0 x) x))
  (* (* (* 2.0 x) x) (* (* 2.0 x) x))
  (+ 1 1)
  (+ (log (sqrt (sqrt (* (* 2.0 x) x)))) (log (sqrt (sqrt (* (* 2.0 x) x)))))
  (log (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))
  (exp (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (* (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (cbrt (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))) (cbrt (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))))
  (cbrt (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (* (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (* (* 2.0 x) x)) (sqrt (* (* 2.0 x) x)))
  (sqrt (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))
  (sqrt (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x))))))
  (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))) (sqrt (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))))
  (* (sqrt (cbrt (sqrt (* (* 2.0 x) x)))) (sqrt (cbrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt (* 2.0 x))))
  (* (sqrt (sqrt x)) (sqrt (sqrt x)))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* 1 1)
  (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* 2 (/ (/ 1 2) 2))
  (* 2 (/ (/ 1 2) 2))
  (* 2 (/ (/ 1 2) 2))
  (* 2 (/ (/ 1 2) 2))
  (* 2 (/ (/ 1 2) 2))
  (* 2 (/ (/ 1 2) 2))
  (* 2 (/ (/ 1 2) 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x))))))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* 2.0 x))))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt 1))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (sqrt (sqrt (* (* 2.0 x) x))) 1)
  (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x))))
  (* (sqrt (cbrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x))))
  (* (sqrt (sqrt x)) (sqrt (sqrt (* (* 2.0 x) x))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x))))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))
  (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x))))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))
  (log (sqrt (sqrt (* (* 2.0 x) x))))
  (exp (sqrt (sqrt (* (* 2.0 x) x))))
  (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (cbrt (sqrt (sqrt (* (* 2.0 x) x))))
  (* (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x))))
  (sqrt (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x)))))
  (sqrt (cbrt (sqrt (* (* 2.0 x) x))))
  (sqrt (sqrt (* 2.0 x)))
  (sqrt (sqrt x))
  (sqrt (sqrt (sqrt (* (* 2.0 x) x))))
  (sqrt (sqrt (sqrt (* (* 2.0 x) x))))
  (sqrt 1)
  (sqrt (sqrt (* (* 2.0 x) x)))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (/ (/ 1 2) 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (* (* 2.0 x) x))))
  (sqrt (sqrt (sqrt (* (* 2.0 x) x))))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (* -1 (* x (sqrt 2.0)))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (* -1 (* x (sqrt 2.0)))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (* -1 (* x (sqrt 2.0)))
  (+ (* x (* NAN (sqrt 2.0))) (+ (* (pow x 3) (* (pow NAN 5) (pow (sqrt 2.0) 3))) (* (pow x 2) (* (pow NAN 3) (pow (sqrt 2.0) 2)))))
  (+ (/ (* (pow NAN 3) (pow (sqrt 2.0) 2)) x) (+ (* NAN (sqrt 2.0)) (/ (* (pow NAN 5) (pow (sqrt 2.0) 3)) (pow x 2))))
  (- (+ (* NAN (sqrt 2.0)) (/ (* (pow NAN 5) (pow (sqrt 2.0) 3)) (pow x 2))) (/ (* (pow NAN 3) (pow (sqrt 2.0) 2)) x))
1.920 * * [simplify]: iteration  0 :  100  enodes  (cost  1759 )
1.935 * * [simplify]: iteration  1 :  212  enodes  (cost  1073 )
1.975 * * [simplify]: iteration  2 :  693  enodes  (cost  963 )
2.133 * * [simplify]: iteration  3 :  2724  enodes  (cost  899 )
2.617 * * [simplify]: iteration  done :  5001  enodes  (cost  899 )
2.617 * [simplify]: Simplified to:
   (log (sqrt (* (* 2.0 x) x)))
  (exp (sqrt (* (* 2.0 x) x)))
  (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))
  (cbrt (sqrt (* (* 2.0 x) x)))
  (pow (sqrt (* (* 2.0 x) x)) 3)
  (sqrt (* 2.0 x))
  (sqrt x)
  1/2
  1/2
  1/2
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (log (sqrt (* (* 2.0 x) x)))
  (exp (sqrt (* (* 2.0 x) x)))
  (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))
  (cbrt (sqrt (* (* 2.0 x) x)))
  (pow (sqrt (* (* 2.0 x) x)) 3)
  (sqrt (* 2.0 x))
  (sqrt x)
  1/2
  1/2
  1/2
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  1
  1
  2
  1/2
  1/2
  1/2
  1/2
  1
  1
  1/2
  1/2
  1/2
  1/2
  1/2
  1/2
  1/2
  1/2
  1/2
  1/2
  1/2
  1/2
  (* (* 2.0 x) x)
  (sqrt (* (* 2.0 x) x))
  (* (pow x 4) (* 2.0 2.0))
  (* (* 2.0 x) x)
  (* (pow x 4) (* 2.0 2.0))
  (* (pow x 4) (* 2.0 2.0))
  (* (pow x 4) (* 2.0 2.0))
  (* (pow x 4) (* 2.0 2.0))
  (* (pow x 4) (* 2.0 2.0))
  (* (pow x 4) (* 2.0 2.0))
  (* (pow x 4) (* 2.0 2.0))
  (* (pow x 4) (* 2.0 2.0))
  (* (pow x 4) (* 2.0 2.0))
  2
  (log (sqrt (* (* 2.0 x) x)))
  (log (sqrt (* (* 2.0 x) x)))
  (exp (sqrt (* (* 2.0 x) x)))
  (pow (sqrt (* (* 2.0 x) x)) 3)
  (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))
  (cbrt (sqrt (* (* 2.0 x) x)))
  (pow (sqrt (* (* 2.0 x) x)) 3)
  (* (* 2.0 x) x)
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (pow (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) 4)
  (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))
  (cbrt (sqrt (* (* 2.0 x) x)))
  (sqrt (* 2.0 x))
  (sqrt x)
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  1
  (sqrt (* (* 2.0 x) x))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  1
  (sqrt (* (* 2.0 x) x))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  (sqrt (sqrt (* (* 2.0 x) x)))
  1
  2
  1/2
  1
  1/2
  1/2
  1/2
  1/2
  1/2
  1/2
  1/2
  1/2
  1/2
  (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (pow (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) 4))
  (* (fabs (cbrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x))))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* 2.0 x))))
  (pow (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) 3)
  (sqrt (sqrt (* (* 2.0 x) x)))
  (pow (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) 3)
  (sqrt (sqrt (* (* 2.0 x) x)))
  (pow (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) 4)
  (* (sqrt (cbrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x))))
  (* (sqrt (sqrt x)) (sqrt (sqrt (* (* 2.0 x) x))))
  (pow (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) 3)
  (sqrt (* (* 2.0 x) x))
  (pow (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) 3)
  (sqrt (* (* 2.0 x) x))
  (log (sqrt (sqrt (* (* 2.0 x) x))))
  (exp (sqrt (sqrt (* (* 2.0 x) x))))
  (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x)))))
  (cbrt (sqrt (sqrt (* (* 2.0 x) x))))
  (pow (sqrt (sqrt (* (* 2.0 x) x))) 3)
  (fabs (cbrt (sqrt (* (* 2.0 x) x))))
  (sqrt (cbrt (sqrt (* (* 2.0 x) x))))
  (sqrt (sqrt (* 2.0 x)))
  (sqrt (sqrt x))
  (sqrt (sqrt (sqrt (* (* 2.0 x) x))))
  (sqrt (sqrt (sqrt (* (* 2.0 x) x))))
  1
  (sqrt (sqrt (* (* 2.0 x) x)))
  1/4
  1/2
  1/4
  1/4
  1/4
  (sqrt (sqrt (sqrt (* (* 2.0 x) x))))
  (sqrt (sqrt (sqrt (* (* 2.0 x) x))))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (neg (* x (sqrt 2.0)))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (neg (* x (sqrt 2.0)))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (neg (* x (sqrt 2.0)))
  (+ (* (sqrt 2.0) (+ (* (* (pow x 3) (pow NAN 5)) 2.0) (* x NAN))) (* (* (pow NAN 3) 2.0) (pow x 2)))
  (+ (+ (* NAN (sqrt 2.0)) (/ (* (pow NAN 5) (pow (sqrt 2.0) 3)) (pow x 2))) (/ (pow NAN 3) (/ x 2.0)))
  (- (+ (* NAN (sqrt 2.0)) (/ (* (pow NAN 5) (pow (sqrt 2.0) 3)) (pow x 2))) (/ (pow NAN 3) (/ x 2.0)))
2.618 * * * [progress]: adding candidates to table
2.762 * * [progress]: iteration 4 / 4
2.762 * * * [progress]: picking best candidate
2.777 * * * * [pick]: Picked  #<alt (λ (x) (* x (sqrt 2.0)))>
2.777 * * * [progress]: localizing error
2.780 * * * [progress]: generating rewritten candidates
2.780 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
2.786 * * * [progress]: generating series expansions
2.786 * * * * [progress]: [ 1 / 1 ] generating series at (2)
2.786 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0
2.786 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
2.786 * [taylor]: Taking taylor expansion of x in x
2.786 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
2.786 * [taylor]: Taking taylor expansion of 2.0 in x
2.786 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
2.786 * [taylor]: Taking taylor expansion of x in x
2.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
2.787 * [taylor]: Taking taylor expansion of 2.0 in x
2.788 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
2.788 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
2.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
2.788 * [taylor]: Taking taylor expansion of 2.0 in x
2.788 * [taylor]: Taking taylor expansion of x in x
2.788 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
2.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
2.788 * [taylor]: Taking taylor expansion of 2.0 in x
2.788 * [taylor]: Taking taylor expansion of x in x
2.789 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0
2.789 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x
2.789 * [taylor]: Taking taylor expansion of -1 in x
2.789 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
2.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
2.789 * [taylor]: Taking taylor expansion of 2.0 in x
2.789 * [taylor]: Taking taylor expansion of x in x
2.789 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x
2.789 * [taylor]: Taking taylor expansion of -1 in x
2.789 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
2.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
2.789 * [taylor]: Taking taylor expansion of 2.0 in x
2.790 * [taylor]: Taking taylor expansion of x in x
2.791 * * * [progress]: simplifying candidates
2.791 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (* x (sqrt 2.0))
  (+ (log x) (log (sqrt 2.0)))
  (log (* x (sqrt 2.0)))
  (exp (* x (sqrt 2.0)))
  (* (* (* x x) x) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (* x (sqrt 2.0))) (cbrt (* x (sqrt 2.0))))
  (cbrt (* x (sqrt 2.0)))
  (* (* (* x (sqrt 2.0)) (* x (sqrt 2.0))) (* x (sqrt 2.0)))
  (sqrt (* x (sqrt 2.0)))
  (sqrt (* x (sqrt 2.0)))
  (* (sqrt x) (sqrt (sqrt 2.0)))
  (* (sqrt x) (sqrt (sqrt 2.0)))
  (* (sqrt x) (sqrt (sqrt 2.0)))
  (* (sqrt x) (sqrt (sqrt 2.0)))
  (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* x (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (* x (sqrt (sqrt 2.0)))
  (* x (sqrt 1))
  (* x (sqrt (sqrt 2.0)))
  (* x 1)
  (* (cbrt x) (sqrt 2.0))
  (* (sqrt x) (sqrt 2.0))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
2.792 * * [simplify]: iteration  0 :  37  enodes  (cost  158 )
2.797 * * [simplify]: iteration  1 :  71  enodes  (cost  143 )
2.809 * * [simplify]: iteration  2 :  160  enodes  (cost  133 )
2.826 * * [simplify]: iteration  3 :  242  enodes  (cost  133 )
2.847 * * [simplify]: iteration  4 :  306  enodes  (cost  133 )
2.878 * * [simplify]: iteration  5 :  453  enodes  (cost  133 )
2.941 * * [simplify]: iteration  6 :  906  enodes  (cost  133 )
3.145 * * [simplify]: iteration  7 :  2720  enodes  (cost  133 )
3.660 * * [simplify]: iteration  done :  5001  enodes  (cost  133 )
3.660 * [simplify]: Simplified to:
   (* x (sqrt 2.0))
  (log (* x (sqrt 2.0)))
  (log (* x (sqrt 2.0)))
  (exp (* x (sqrt 2.0)))
  (pow (* x (sqrt 2.0)) 3)
  (* (cbrt (* x (sqrt 2.0))) (cbrt (* x (sqrt 2.0))))
  (cbrt (* x (sqrt 2.0)))
  (pow (* x (sqrt 2.0)) 3)
  (sqrt (* x (sqrt 2.0)))
  (sqrt (* x (sqrt 2.0)))
  (* (sqrt x) (sqrt (sqrt 2.0)))
  (* (sqrt x) (sqrt (sqrt 2.0)))
  (* (sqrt x) (sqrt (sqrt 2.0)))
  (* (sqrt x) (sqrt (sqrt 2.0)))
  (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* x (fabs (cbrt 2.0)))
  (* x (sqrt (sqrt 2.0)))
  x
  (* x (sqrt (sqrt 2.0)))
  x
  (* (cbrt x) (sqrt 2.0))
  (* (sqrt x) (sqrt 2.0))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
  (* x (sqrt 2.0))
3.660 * * * [progress]: adding candidates to table
3.692 * [progress]: [Phase 3 of 3] Extracting.
3.692 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (* (sqrt (* x (sqrt 2.0))) (sqrt (* x (sqrt 2.0)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))>)
3.693 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 x) x) (sqrt (* (* 2.0 x) x)) x)
3.693 * * * * [regimes]: Trying to branch on (* (* 2.0 x) x) from (#<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (* (sqrt (* x (sqrt 2.0))) (sqrt (* x (sqrt 2.0)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))>)
3.976 * * * * [regimes]: Trying to branch on (* (* 2.0 x) x) from (#<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))>)
4.001 * * * * [regimes]: Trying to branch on (sqrt (* (* 2.0 x) x)) from (#<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (* (sqrt (* x (sqrt 2.0))) (sqrt (* x (sqrt 2.0)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))>)
4.069 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (* (sqrt (* x (sqrt 2.0))) (sqrt (* x (sqrt 2.0)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))>)
4.129 * * * [regime]: Found split indices: #<option (#s(si 8 126) #s(si 1 255))>
4.129 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (* (sqrt (* x (sqrt 2.0))) (sqrt (* x (sqrt 2.0)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))>)
4.140 * [regimes]: Found splitpoints: (#s(sp 8 x 1.9786006080648e-310) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (* (sqrt (* x (sqrt 2.0))) (sqrt (* x (sqrt 2.0)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))>)
4.140 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (if (<= x 1.9786006080648e-310) (neg (* x (sqrt 2.0))) (* (sqrt (* 2.0 x)) (sqrt x)))
4.141 * * [simplify]: iteration  0 :  12  enodes  (cost  16 )
4.141 * * [simplify]: iteration  1 :  19  enodes  (cost  16 )
4.142 * * [simplify]: iteration  2 :  21  enodes  (cost  16 )
4.142 * * [simplify]: iteration  done :  21  enodes  (cost  16 )
4.142 * [simplify]: Simplified to:
   (if (<= x 1.9786006080648e-310) (neg (* x (sqrt 2.0))) (* (sqrt (* 2.0 x)) (sqrt x)))
5.340 * [regime-testing]: End program error score: 0.40482428741218845