16.709 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.011 * * * [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))
0.014 * * [simplify]: iteration  0 :  5  enodes  (cost  6 )
0.015 * * [simplify]: iteration  1 :  9  enodes  (cost  6 )
0.016 * * [simplify]: iteration  2 :  10  enodes  (cost  6 )
0.017 * * [simplify]: iteration  done :  10  enodes  (cost  6 )
0.017 * [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)
0.028 * * * [progress]: generating series expansions
0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.028 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0
0.028 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
0.028 * [taylor]: Taking taylor expansion of x in x
0.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
0.028 * [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
0.031 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
0.031 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
0.031 * [taylor]: Taking taylor expansion of 2.0 in x
0.031 * [taylor]: Taking taylor expansion of x in x
0.031 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
0.031 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
0.031 * [taylor]: Taking taylor expansion of 2.0 in x
0.031 * [taylor]: Taking taylor expansion of x in x
0.032 * * * [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 )
0.052 * * [simplify]: iteration  3 :  77  enodes  (cost  80 )
0.062 * * [simplify]: iteration  4 :  83  enodes  (cost  80 )
0.073 * * [simplify]: iteration  5 :  93  enodes  (cost  80 )
0.085 * * [simplify]: iteration  6 :  114  enodes  (cost  80 )
0.106 * * [simplify]: iteration  7 :  173  enodes  (cost  80 )
0.164 * * [simplify]: iteration  8 :  376  enodes  (cost  80 )
0.606 * * [simplify]: iteration  9 :  1299  enodes  (cost  80 )
2.774 * * [simplify]: iteration  done :  5000  enodes  (cost  80 )
2.774 * [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)))
2.774 * * * [progress]: adding candidates to table
2.804 * * [progress]: iteration 2 / 4
2.804 * * * [progress]: picking best candidate
2.822 * * * * [pick]: Picked  #<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))>
2.822 * * * [progress]: localizing error
2.828 * * * [progress]: generating rewritten candidates
2.828 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
2.835 * * * [progress]: generating series expansions
2.835 * * * * [progress]: [ 1 / 1 ] generating series at (2)
2.835 * [approximate]: Taking taylor expansion of (pow (* 2.0 (pow x 2)) 1/2) in (x) around 0
2.835 * [taylor]: Taking taylor expansion of (pow (* 2.0 (pow x 2)) 1/2) in x
2.835 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (pow x 2))))) in x
2.835 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (pow x 2)))) in x
2.835 * [taylor]: Taking taylor expansion of 1/2 in x
2.835 * [taylor]: Taking taylor expansion of (log (* 2.0 (pow x 2))) in x
2.835 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x
2.835 * [taylor]: Taking taylor expansion of 2.0 in x
2.835 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.835 * [taylor]: Taking taylor expansion of x in x
2.836 * [taylor]: Taking taylor expansion of (pow (* 2.0 (pow x 2)) 1/2) in x
2.836 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (pow x 2))))) in x
2.836 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (pow x 2)))) in x
2.836 * [taylor]: Taking taylor expansion of 1/2 in x
2.836 * [taylor]: Taking taylor expansion of (log (* 2.0 (pow x 2))) in x
2.836 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x
2.836 * [taylor]: Taking taylor expansion of 2.0 in x
2.836 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.836 * [taylor]: Taking taylor expansion of x in x
2.843 * [approximate]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in (x) around 0
2.843 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in x
2.843 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 2.0 (pow x 2))))) in x
2.843 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 2.0 (pow x 2)))) in x
2.843 * [taylor]: Taking taylor expansion of 1/2 in x
2.843 * [taylor]: Taking taylor expansion of (log (/ 2.0 (pow x 2))) in x
2.843 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x
2.843 * [taylor]: Taking taylor expansion of 2.0 in x
2.843 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.843 * [taylor]: Taking taylor expansion of x in x
2.844 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in x
2.844 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 2.0 (pow x 2))))) in x
2.844 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 2.0 (pow x 2)))) in x
2.844 * [taylor]: Taking taylor expansion of 1/2 in x
2.844 * [taylor]: Taking taylor expansion of (log (/ 2.0 (pow x 2))) in x
2.844 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x
2.844 * [taylor]: Taking taylor expansion of 2.0 in x
2.844 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.844 * [taylor]: Taking taylor expansion of x in x
2.851 * [approximate]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in (x) around 0
2.851 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in x
2.851 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 2.0 (pow x 2))))) in x
2.851 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 2.0 (pow x 2)))) in x
2.851 * [taylor]: Taking taylor expansion of 1/2 in x
2.851 * [taylor]: Taking taylor expansion of (log (/ 2.0 (pow x 2))) in x
2.851 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x
2.851 * [taylor]: Taking taylor expansion of 2.0 in x
2.851 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.852 * [taylor]: Taking taylor expansion of x in x
2.852 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (pow x 2)) 1/2) in x
2.852 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 2.0 (pow x 2))))) in x
2.852 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 2.0 (pow x 2)))) in x
2.852 * [taylor]: Taking taylor expansion of 1/2 in x
2.852 * [taylor]: Taking taylor expansion of (log (/ 2.0 (pow x 2))) in x
2.852 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x
2.852 * [taylor]: Taking taylor expansion of 2.0 in x
2.852 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.852 * [taylor]: Taking taylor expansion of x in x
2.859 * * * [progress]: simplifying candidates
2.860 * [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))))))
2.861 * * [simplify]: iteration  0 :  53  enodes  (cost  210 )
2.873 * * [simplify]: iteration  1 :  118  enodes  (cost  170 )
2.891 * * [simplify]: iteration  2 :  242  enodes  (cost  164 )
2.946 * * [simplify]: iteration  3 :  642  enodes  (cost  155 )
3.602 * * [simplify]: iteration  4 :  2834  enodes  (cost  125 )
5.046 * * [simplify]: iteration  done :  5000  enodes  (cost  125 )
5.047 * [simplify]: Simplified to:
   (log (* (sqrt 2.0) x))
  (log (* (sqrt 2.0) x))
  (log (* (sqrt 2.0) x))
  (log (* (sqrt 2.0) x))
  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 (* (sqrt 2.0) x))
  (pow (exp x) (sqrt 2.0))
  (* (cbrt (* (sqrt 2.0) x)) (cbrt (* (sqrt 2.0) x)))
  (cbrt (* (sqrt 2.0) x))
  (pow (* (sqrt 2.0) x) 3)
  (sqrt (* (sqrt 2.0) x))
  (sqrt (* (sqrt 2.0) x))
  (pow (* 2.0 (* x x)) 1/4)
  (pow (* 2.0 (* x x)) 1/4)
  (* (sqrt 2.0) x)
  (* (sqrt 2.0) x)
  (* (sqrt 2.0) (pow (/ -1 x) -1))
5.047 * * * [progress]: adding candidates to table
5.075 * * [progress]: iteration 3 / 4
5.075 * * * [progress]: picking best candidate
5.097 * * * * [pick]: Picked  #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))>
5.097 * * * [progress]: localizing error
5.104 * * * [progress]: generating rewritten candidates
5.104 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
5.108 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
5.112 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
5.129 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
5.141 * * * [progress]: generating series expansions
5.141 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
5.141 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0
5.141 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
5.141 * [taylor]: Taking taylor expansion of x in x
5.141 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.142 * [taylor]: Taking taylor expansion of 2.0 in x
5.142 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
5.142 * [taylor]: Taking taylor expansion of x in x
5.142 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.142 * [taylor]: Taking taylor expansion of 2.0 in x
5.143 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
5.143 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.143 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.143 * [taylor]: Taking taylor expansion of 2.0 in x
5.143 * [taylor]: Taking taylor expansion of x in x
5.143 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.143 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.143 * [taylor]: Taking taylor expansion of 2.0 in x
5.143 * [taylor]: Taking taylor expansion of x in x
5.144 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
5.144 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.144 * [taylor]: Taking taylor expansion of 2.0 in x
5.144 * [taylor]: Taking taylor expansion of x in x
5.144 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.144 * [taylor]: Taking taylor expansion of 2.0 in x
5.144 * [taylor]: Taking taylor expansion of x in x
5.145 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
5.145 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0
5.145 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
5.145 * [taylor]: Taking taylor expansion of x in x
5.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.146 * [taylor]: Taking taylor expansion of 2.0 in x
5.146 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
5.146 * [taylor]: Taking taylor expansion of x in x
5.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.146 * [taylor]: Taking taylor expansion of 2.0 in x
5.147 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
5.147 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.147 * [taylor]: Taking taylor expansion of 2.0 in x
5.147 * [taylor]: Taking taylor expansion of x in x
5.147 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.147 * [taylor]: Taking taylor expansion of 2.0 in x
5.147 * [taylor]: Taking taylor expansion of x in x
5.148 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
5.148 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.148 * [taylor]: Taking taylor expansion of 2.0 in x
5.148 * [taylor]: Taking taylor expansion of x in x
5.148 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.148 * [taylor]: Taking taylor expansion of 2.0 in x
5.148 * [taylor]: Taking taylor expansion of x in x
5.149 * * * * [progress]: [ 3 / 4 ] generating series at (2)
5.149 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0
5.149 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
5.149 * [taylor]: Taking taylor expansion of x in x
5.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.150 * [taylor]: Taking taylor expansion of 2.0 in x
5.150 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
5.150 * [taylor]: Taking taylor expansion of x in x
5.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.150 * [taylor]: Taking taylor expansion of 2.0 in x
5.151 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
5.151 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.151 * [taylor]: Taking taylor expansion of 2.0 in x
5.151 * [taylor]: Taking taylor expansion of x in x
5.151 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.151 * [taylor]: Taking taylor expansion of 2.0 in x
5.151 * [taylor]: Taking taylor expansion of x in x
5.152 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
5.152 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.152 * [taylor]: Taking taylor expansion of 2.0 in x
5.152 * [taylor]: Taking taylor expansion of x in x
5.152 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.152 * [taylor]: Taking taylor expansion of 2.0 in x
5.153 * [taylor]: Taking taylor expansion of x in x
5.154 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
5.154 * [approximate]: Taking taylor expansion of (sqrt (* x (sqrt 2.0))) in (x) around 0
5.154 * [taylor]: Taking taylor expansion of (sqrt (* x (sqrt 2.0))) in x
5.154 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
5.154 * [taylor]: Taking taylor expansion of x in x
5.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.154 * [taylor]: Taking taylor expansion of 2.0 in x
5.154 * [taylor]: Taking taylor expansion of (sqrt (* x (sqrt 2.0))) in x
5.154 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
5.154 * [taylor]: Taking taylor expansion of x in x
5.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.154 * [taylor]: Taking taylor expansion of 2.0 in x
5.156 * [approximate]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in (x) around 0
5.156 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x
5.156 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.156 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.156 * [taylor]: Taking taylor expansion of 2.0 in x
5.156 * [taylor]: Taking taylor expansion of x in x
5.156 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x
5.156 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.156 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.156 * [taylor]: Taking taylor expansion of 2.0 in x
5.156 * [taylor]: Taking taylor expansion of x in x
5.158 * [approximate]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in (x) around 0
5.158 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x
5.158 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.158 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.158 * [taylor]: Taking taylor expansion of 2.0 in x
5.158 * [taylor]: Taking taylor expansion of x in x
5.158 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x
5.158 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
5.158 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
5.158 * [taylor]: Taking taylor expansion of 2.0 in x
5.158 * [taylor]: Taking taylor expansion of x in x
5.159 * * * [progress]: simplifying candidates
5.165 * [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))
5.169 * * [simplify]: iteration  0 :  100  enodes  (cost  1759 )
5.188 * * [simplify]: iteration  1 :  209  enodes  (cost  1033 )
5.231 * * [simplify]: iteration  2 :  648  enodes  (cost  963 )
5.745 * * [simplify]: iteration  3 :  2731  enodes  (cost  899 )
6.613 * * [simplify]: iteration  done :  5000  enodes  (cost  899 )
6.614 * [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))
  (* (sqrt (sqrt (* (* 2.0 x) x))) (fabs (cbrt (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) (+ (* x NAN) (* (* (pow x 3) (pow NAN 5)) 2.0))) (* (* (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) 2.0) x))
  (- (+ (* NAN (sqrt 2.0)) (/ (* (pow NAN 5) (pow (sqrt 2.0) 3)) (pow x 2))) (/ (* (pow NAN 3) 2.0) x))
6.614 * * * [progress]: adding candidates to table
6.751 * * [progress]: iteration 4 / 4
6.751 * * * [progress]: picking best candidate
6.766 * * * * [pick]: Picked  #<alt (λ (x) (* x (sqrt 2.0)))>
6.766 * * * [progress]: localizing error
6.769 * * * [progress]: generating rewritten candidates
6.769 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
6.775 * * * [progress]: generating series expansions
6.775 * * * * [progress]: [ 1 / 1 ] generating series at (2)
6.775 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0
6.775 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
6.775 * [taylor]: Taking taylor expansion of x in x
6.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
6.775 * [taylor]: Taking taylor expansion of 2.0 in x
6.775 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x
6.775 * [taylor]: Taking taylor expansion of x in x
6.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
6.775 * [taylor]: Taking taylor expansion of 2.0 in x
6.776 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0
6.776 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
6.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
6.776 * [taylor]: Taking taylor expansion of 2.0 in x
6.776 * [taylor]: Taking taylor expansion of x in x
6.776 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
6.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
6.776 * [taylor]: Taking taylor expansion of 2.0 in x
6.776 * [taylor]: Taking taylor expansion of x in x
6.777 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0
6.777 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x
6.777 * [taylor]: Taking taylor expansion of -1 in x
6.777 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
6.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
6.778 * [taylor]: Taking taylor expansion of 2.0 in x
6.778 * [taylor]: Taking taylor expansion of x in x
6.778 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x
6.778 * [taylor]: Taking taylor expansion of -1 in x
6.778 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x
6.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x
6.778 * [taylor]: Taking taylor expansion of 2.0 in x
6.778 * [taylor]: Taking taylor expansion of x in x
6.779 * * * [progress]: simplifying candidates
6.780 * [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))
6.781 * * [simplify]: iteration  0 :  37  enodes  (cost  158 )
6.786 * * [simplify]: iteration  1 :  69  enodes  (cost  141 )
6.799 * * [simplify]: iteration  2 :  122  enodes  (cost  133 )
6.822 * * [simplify]: iteration  3 :  158  enodes  (cost  133 )
6.860 * * [simplify]: iteration  4 :  216  enodes  (cost  133 )
6.912 * * [simplify]: iteration  5 :  350  enodes  (cost  133 )
7.045 * * [simplify]: iteration  6 :  757  enodes  (cost  133 )
7.661 * * [simplify]: iteration  7 :  2237  enodes  (cost  133 )
8.785 * * [simplify]: iteration  done :  5000  enodes  (cost  133 )
8.785 * [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))
8.785 * * * [progress]: adding candidates to table
8.811 * [progress]: [Phase 3 of 3] Extracting.
8.812 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))> #<alt (λ (x) (* (sqrt (* (sqrt 2.0) x)) (sqrt (* (sqrt 2.0) x))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))>)
8.812 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 x) x) (sqrt (* (* 2.0 x) x)) x)
8.812 * * * * [regimes]: Trying to branch on (* (* 2.0 x) x) from (#<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))> #<alt (λ (x) (* (sqrt (* (sqrt 2.0) x)) (sqrt (* (sqrt 2.0) x))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))>)
8.871 * * * * [regimes]: Trying to branch on (* (* 2.0 x) x) from (#<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))>)
8.898 * * * * [regimes]: Trying to branch on (sqrt (* (* 2.0 x) x)) from (#<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))> #<alt (λ (x) (* (sqrt (* (sqrt 2.0) x)) (sqrt (* (sqrt 2.0) x))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))>)
8.961 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))> #<alt (λ (x) (* (sqrt (* (sqrt 2.0) x)) (sqrt (* (sqrt 2.0) x))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))>)
9.018 * * * [regime]: Found split indices: #<option (#s(si 7 126) #s(si 6 255))>
9.019 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))> #<alt (λ (x) (* (sqrt (* (sqrt 2.0) x)) (sqrt (* (sqrt 2.0) x))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))>)
9.030 * [regimes]: Found splitpoints: (#s(sp 7 x 1.9786006080648e-310) #s(sp 6 x +nan.0)) , with alts (#<alt (λ (x) (pow (* (* 2.0 x) x) 1/2))> #<alt (λ (x) (* (sqrt (* (sqrt 2.0) x)) (sqrt (* (sqrt 2.0) x))))> #<alt (λ (x) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))> #<alt (λ (x) (pow (* (pow x 4) (* 2.0 2.0)) (/ 1/2 2)))> #<alt (λ (x) (* x (sqrt 2.0)))> #<alt (λ (x) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))> #<alt (λ (x) (* (sqrt (* 2.0 x)) (sqrt x)))> #<alt (λ (x) (neg (* x (sqrt 2.0))))> #<alt (λ (x) (* (sqrt 2.0) (pow (/ -1 x) -1)))> #<alt (λ (x) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (sqrt 2.0))))>)
9.030 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (if (<= x 1.9786006080648e-310) (neg (* x (sqrt 2.0))) (* (sqrt (* 2.0 x)) (sqrt x)))
9.031 * * [simplify]: iteration  0 :  12  enodes  (cost  16 )
9.031 * * [simplify]: iteration  1 :  19  enodes  (cost  16 )
9.032 * * [simplify]: iteration  2 :  21  enodes  (cost  16 )
9.033 * * [simplify]: iteration  done :  21  enodes  (cost  16 )
9.033 * [simplify]: Simplified to:
   (if (<= x 1.9786006080648e-310) (neg (* x (sqrt 2.0))) (* (sqrt (* 2.0 x)) (sqrt x)))
10.161 * [regime-testing]: End program error score: 0.40482428741218845