14.890 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.016 * * * [progress]: [2/2] Setting up program.
0.018 * [progress]: [Phase 2 of 3] Improving.
0.018 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (+ (* x x) (* y y))
0.019 * * [simplify]: iteration  0 :  5  enodes  (cost  7 )
0.019 * * [simplify]: iteration  1 :  6  enodes  (cost  7 )
0.020 * * [simplify]: iteration  done :  6  enodes  (cost  7 )
0.020 * [simplify]: Simplified to:
   (+ (* x x) (* y y))
0.020 * * [progress]: iteration 1 / 4
0.020 * * * [progress]: picking best candidate
0.022 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.022 * * * [progress]: localizing error
0.026 * * * [progress]: generating rewritten candidates
0.026 * * * * [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 (+ (pow x 2) (pow y 2)) in (x y) around 0
0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.029 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.029 * [taylor]: Taking taylor expansion of x in y
0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.029 * [taylor]: Taking taylor expansion of y in y
0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.029 * [taylor]: Taking taylor expansion of x in x
0.029 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.029 * [taylor]: Taking taylor expansion of y in x
0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.029 * [taylor]: Taking taylor expansion of x in x
0.029 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.029 * [taylor]: Taking taylor expansion of y in x
0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.030 * [taylor]: Taking taylor expansion of y in y
0.030 * [taylor]: Taking taylor expansion of 0 in y
0.031 * [taylor]: Taking taylor expansion of 1 in y
0.032 * [taylor]: Taking taylor expansion of 0 in y
0.034 * [taylor]: Taking taylor expansion of 0 in y
0.035 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.035 * [taylor]: Taking taylor expansion of x in y
0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.035 * [taylor]: Taking taylor expansion of y in y
0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.035 * [taylor]: Taking taylor expansion of x in x
0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.036 * [taylor]: Taking taylor expansion of y in x
0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.036 * [taylor]: Taking taylor expansion of x in x
0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.037 * [taylor]: Taking taylor expansion of y in x
0.037 * [taylor]: Taking taylor expansion of 1 in y
0.038 * [taylor]: Taking taylor expansion of 0 in y
0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.039 * [taylor]: Taking taylor expansion of y in y
0.041 * [taylor]: Taking taylor expansion of 0 in y
0.044 * [taylor]: Taking taylor expansion of 0 in y
0.045 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.045 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.045 * [taylor]: Taking taylor expansion of x in y
0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.045 * [taylor]: Taking taylor expansion of y in y
0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.046 * [taylor]: Taking taylor expansion of x in x
0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.046 * [taylor]: Taking taylor expansion of y in x
0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.046 * [taylor]: Taking taylor expansion of x in x
0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.047 * [taylor]: Taking taylor expansion of y in x
0.047 * [taylor]: Taking taylor expansion of 1 in y
0.048 * [taylor]: Taking taylor expansion of 0 in y
0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.049 * [taylor]: Taking taylor expansion of y in y
0.051 * [taylor]: Taking taylor expansion of 0 in y
0.054 * [taylor]: Taking taylor expansion of 0 in y
0.055 * * * [progress]: simplifying candidates
0.056 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.057 * * [simplify]: iteration  0 :  30  enodes  (cost  166 )
0.065 * * [simplify]: iteration  1 :  101  enodes  (cost  161 )
0.088 * * [simplify]: iteration  2 :  445  enodes  (cost  131 )
0.236 * * [simplify]: iteration  3 :  1148  enodes  (cost  131 )
0.814 * * [simplify]: iteration  4 :  4200  enodes  (cost  131 )
3.116 * * [simplify]: iteration  done :  5000  enodes  (cost  131 )
3.116 * [simplify]: Simplified to:
   (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y)))
  (- (pow x 4) (pow y 4))
  (- (pow x 2) (* y y))
  (+ (pow x 2) (* y y))
  (+ (pow x 2) (* y y))
  (+ (pow x 2) (* y y))
3.116 * * * [progress]: adding candidates to table
3.142 * * [progress]: iteration 2 / 4
3.142 * * * [progress]: picking best candidate
3.143 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
3.143 * * * [progress]: localizing error
3.150 * * * [progress]: generating rewritten candidates
3.150 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.154 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
3.158 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
3.161 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
3.164 * * * [progress]: generating series expansions
3.164 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.164 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
3.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
3.165 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
3.165 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.165 * [taylor]: Taking taylor expansion of x in y
3.165 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.165 * [taylor]: Taking taylor expansion of y in y
3.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
3.165 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.165 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.165 * [taylor]: Taking taylor expansion of x in x
3.165 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.166 * [taylor]: Taking taylor expansion of y in x
3.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
3.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.166 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.166 * [taylor]: Taking taylor expansion of x in x
3.166 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.166 * [taylor]: Taking taylor expansion of y in x
3.167 * [taylor]: Taking taylor expansion of y in y
3.167 * [taylor]: Taking taylor expansion of 0 in y
3.168 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
3.168 * [taylor]: Taking taylor expansion of 1/2 in y
3.168 * [taylor]: Taking taylor expansion of y in y
3.173 * [taylor]: Taking taylor expansion of 0 in y
3.174 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
3.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
3.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.174 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.174 * [taylor]: Taking taylor expansion of x in y
3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.174 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.174 * [taylor]: Taking taylor expansion of y in y
3.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.177 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.177 * [taylor]: Taking taylor expansion of x in x
3.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.177 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.177 * [taylor]: Taking taylor expansion of y in x
3.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.180 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.180 * [taylor]: Taking taylor expansion of x in x
3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.180 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.180 * [taylor]: Taking taylor expansion of y in x
3.182 * [taylor]: Taking taylor expansion of 1 in y
3.182 * [taylor]: Taking taylor expansion of 0 in y
3.184 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
3.184 * [taylor]: Taking taylor expansion of 1/2 in y
3.184 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.184 * [taylor]: Taking taylor expansion of y in y
3.187 * [taylor]: Taking taylor expansion of 0 in y
3.189 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
3.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
3.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.189 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.189 * [taylor]: Taking taylor expansion of x in y
3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.189 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.189 * [taylor]: Taking taylor expansion of y in y
3.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.192 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.192 * [taylor]: Taking taylor expansion of x in x
3.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.192 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.192 * [taylor]: Taking taylor expansion of y in x
3.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.195 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.195 * [taylor]: Taking taylor expansion of x in x
3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.195 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.195 * [taylor]: Taking taylor expansion of y in x
3.197 * [taylor]: Taking taylor expansion of 1 in y
3.197 * [taylor]: Taking taylor expansion of 0 in y
3.199 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
3.199 * [taylor]: Taking taylor expansion of 1/2 in y
3.199 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.199 * [taylor]: Taking taylor expansion of y in y
3.202 * [taylor]: Taking taylor expansion of 0 in y
3.204 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.204 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
3.204 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
3.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
3.204 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.204 * [taylor]: Taking taylor expansion of x in y
3.204 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.204 * [taylor]: Taking taylor expansion of y in y
3.204 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
3.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.204 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.204 * [taylor]: Taking taylor expansion of x in x
3.204 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.204 * [taylor]: Taking taylor expansion of y in x
3.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
3.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.205 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.205 * [taylor]: Taking taylor expansion of x in x
3.205 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.205 * [taylor]: Taking taylor expansion of y in x
3.206 * [taylor]: Taking taylor expansion of y in y
3.206 * [taylor]: Taking taylor expansion of 0 in y
3.207 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
3.207 * [taylor]: Taking taylor expansion of 1/2 in y
3.207 * [taylor]: Taking taylor expansion of y in y
3.209 * [taylor]: Taking taylor expansion of 0 in y
3.210 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
3.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
3.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.210 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.210 * [taylor]: Taking taylor expansion of x in y
3.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.210 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.210 * [taylor]: Taking taylor expansion of y in y
3.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.212 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.212 * [taylor]: Taking taylor expansion of x in x
3.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.213 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.213 * [taylor]: Taking taylor expansion of y in x
3.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.215 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.215 * [taylor]: Taking taylor expansion of x in x
3.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.216 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.216 * [taylor]: Taking taylor expansion of y in x
3.218 * [taylor]: Taking taylor expansion of 1 in y
3.218 * [taylor]: Taking taylor expansion of 0 in y
3.220 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
3.220 * [taylor]: Taking taylor expansion of 1/2 in y
3.220 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.220 * [taylor]: Taking taylor expansion of y in y
3.223 * [taylor]: Taking taylor expansion of 0 in y
3.224 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
3.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
3.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.224 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.224 * [taylor]: Taking taylor expansion of x in y
3.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.224 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.224 * [taylor]: Taking taylor expansion of y in y
3.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.227 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.227 * [taylor]: Taking taylor expansion of x in x
3.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.227 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.227 * [taylor]: Taking taylor expansion of y in x
3.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.229 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.229 * [taylor]: Taking taylor expansion of x in x
3.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.230 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.230 * [taylor]: Taking taylor expansion of y in x
3.232 * [taylor]: Taking taylor expansion of 1 in y
3.232 * [taylor]: Taking taylor expansion of 0 in y
3.234 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
3.234 * [taylor]: Taking taylor expansion of 1/2 in y
3.234 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.234 * [taylor]: Taking taylor expansion of y in y
3.237 * [taylor]: Taking taylor expansion of 0 in y
3.238 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
3.238 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
3.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
3.239 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.239 * [taylor]: Taking taylor expansion of x in y
3.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.239 * [taylor]: Taking taylor expansion of y in y
3.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.239 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.239 * [taylor]: Taking taylor expansion of x in x
3.239 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.239 * [taylor]: Taking taylor expansion of y in x
3.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.239 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.239 * [taylor]: Taking taylor expansion of x in x
3.239 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.239 * [taylor]: Taking taylor expansion of y in x
3.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.239 * [taylor]: Taking taylor expansion of y in y
3.239 * [taylor]: Taking taylor expansion of 0 in y
3.240 * [taylor]: Taking taylor expansion of 1 in y
3.241 * [taylor]: Taking taylor expansion of 0 in y
3.243 * [taylor]: Taking taylor expansion of 0 in y
3.244 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
3.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.244 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.244 * [taylor]: Taking taylor expansion of x in y
3.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.244 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.244 * [taylor]: Taking taylor expansion of y in y
3.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.245 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.245 * [taylor]: Taking taylor expansion of x in x
3.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.245 * [taylor]: Taking taylor expansion of y in x
3.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.245 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.245 * [taylor]: Taking taylor expansion of x in x
3.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.246 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.246 * [taylor]: Taking taylor expansion of y in x
3.246 * [taylor]: Taking taylor expansion of 1 in y
3.247 * [taylor]: Taking taylor expansion of 0 in y
3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.249 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.249 * [taylor]: Taking taylor expansion of y in y
3.251 * [taylor]: Taking taylor expansion of 0 in y
3.254 * [taylor]: Taking taylor expansion of 0 in y
3.255 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
3.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.255 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.255 * [taylor]: Taking taylor expansion of x in y
3.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.256 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.256 * [taylor]: Taking taylor expansion of y in y
3.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.256 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.256 * [taylor]: Taking taylor expansion of x in x
3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.257 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.257 * [taylor]: Taking taylor expansion of y in x
3.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.257 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.257 * [taylor]: Taking taylor expansion of x in x
3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.257 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.257 * [taylor]: Taking taylor expansion of y in x
3.260 * [taylor]: Taking taylor expansion of 1 in y
3.261 * [taylor]: Taking taylor expansion of 0 in y
3.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.263 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.263 * [taylor]: Taking taylor expansion of y in y
3.265 * [taylor]: Taking taylor expansion of 0 in y
3.267 * [taylor]: Taking taylor expansion of 0 in y
3.269 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
3.269 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
3.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
3.269 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.269 * [taylor]: Taking taylor expansion of x in y
3.269 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.269 * [taylor]: Taking taylor expansion of y in y
3.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.269 * [taylor]: Taking taylor expansion of x in x
3.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.269 * [taylor]: Taking taylor expansion of y in x
3.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.269 * [taylor]: Taking taylor expansion of x in x
3.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.269 * [taylor]: Taking taylor expansion of y in x
3.269 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.269 * [taylor]: Taking taylor expansion of y in y
3.270 * [taylor]: Taking taylor expansion of 0 in y
3.270 * [taylor]: Taking taylor expansion of 1 in y
3.272 * [taylor]: Taking taylor expansion of 0 in y
3.274 * [taylor]: Taking taylor expansion of 0 in y
3.274 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
3.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.274 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.274 * [taylor]: Taking taylor expansion of x in y
3.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.274 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.274 * [taylor]: Taking taylor expansion of y in y
3.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.275 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.275 * [taylor]: Taking taylor expansion of x in x
3.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.275 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.275 * [taylor]: Taking taylor expansion of y in x
3.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.276 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.276 * [taylor]: Taking taylor expansion of x in x
3.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.276 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.276 * [taylor]: Taking taylor expansion of y in x
3.277 * [taylor]: Taking taylor expansion of 1 in y
3.278 * [taylor]: Taking taylor expansion of 0 in y
3.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.279 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.279 * [taylor]: Taking taylor expansion of y in y
3.281 * [taylor]: Taking taylor expansion of 0 in y
3.283 * [taylor]: Taking taylor expansion of 0 in y
3.285 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
3.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.285 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.285 * [taylor]: Taking taylor expansion of x in y
3.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.285 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.285 * [taylor]: Taking taylor expansion of y in y
3.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.286 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.286 * [taylor]: Taking taylor expansion of x in x
3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.286 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.286 * [taylor]: Taking taylor expansion of y in x
3.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.286 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.286 * [taylor]: Taking taylor expansion of x in x
3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.287 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.287 * [taylor]: Taking taylor expansion of y in x
3.287 * [taylor]: Taking taylor expansion of 1 in y
3.288 * [taylor]: Taking taylor expansion of 0 in y
3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.289 * [taylor]: Taking taylor expansion of y in y
3.291 * [taylor]: Taking taylor expansion of 0 in y
3.294 * [taylor]: Taking taylor expansion of 0 in y
3.296 * * * [progress]: simplifying candidates
3.296 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
3.299 * * [simplify]: iteration  0 :  48  enodes  (cost  758 )
3.307 * * [simplify]: iteration  1 :  125  enodes  (cost  694 )
3.336 * * [simplify]: iteration  2 :  512  enodes  (cost  590 )
3.499 * * [simplify]: iteration  3 :  1808  enodes  (cost  590 )
4.486 * * [simplify]: iteration  done :  5000  enodes  (cost  590 )
4.486 * [simplify]: Simplified to:
   (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
4.486 * * * [progress]: adding candidates to table
4.626 * [progress]: [Phase 3 of 3] Extracting.
4.628 * [simplify]: Simplifying using  #<procedure:simplify-batch-regraph> :
   (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
4.628 * * [simplify]: iteration  0 :  7  enodes  (cost  17 )
4.629 * * [simplify]: iteration  1 :  8  enodes  (cost  17 )
4.629 * * [simplify]: iteration  done :  8  enodes  (cost  17 )
4.629 * [simplify]: Simplified to:
   (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
5.166 * [regime-testing]: End program error score: 0.015306236718081352