12.127 * [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-egg> :
   (+ (* x x) (* y y))
0.020 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.022 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
0.022 * [simplify]: Simplified to:
   (+ (* x x) (* y y))
0.022 * * [progress]: iteration 1 / 4
0.022 * * * [progress]: picking best candidate
0.023 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.023 * * * [progress]: localizing error
0.030 * * * [progress]: generating rewritten candidates
0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.035 * * * [progress]: generating series expansions
0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.035 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y
0.035 * [taylor]: Taking taylor expansion of y in y
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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
0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.035 * [taylor]: Taking taylor expansion of y in x
0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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
0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.035 * [taylor]: Taking taylor expansion of y in x
0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.035 * [taylor]: Taking taylor expansion of y in y
0.036 * [taylor]: Taking taylor expansion of 0 in y
0.037 * [taylor]: Taking taylor expansion of 1 in y
0.038 * [taylor]: Taking taylor expansion of 0 in y
0.040 * [taylor]: Taking taylor expansion of 0 in y
0.040 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.040 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.040 * [taylor]: Taking taylor expansion of x in y
0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.041 * [taylor]: Taking taylor expansion of y in y
0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.041 * [taylor]: Taking taylor expansion of x in x
0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.042 * [taylor]: Taking taylor expansion of y in x
0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.042 * [taylor]: Taking taylor expansion of x in x
0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.042 * [taylor]: Taking taylor expansion of y in x
0.043 * [taylor]: Taking taylor expansion of 1 in y
0.044 * [taylor]: Taking taylor expansion of 0 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
0.047 * [taylor]: Taking taylor expansion of 0 in y
0.049 * [taylor]: Taking taylor expansion of 0 in y
0.051 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.051 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.051 * [taylor]: Taking taylor expansion of x in y
0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.051 * [taylor]: Taking taylor expansion of y in y
0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.052 * [taylor]: Taking taylor expansion of x in x
0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.052 * [taylor]: Taking taylor expansion of y in x
0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.052 * [taylor]: Taking taylor expansion of x in x
0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.053 * [taylor]: Taking taylor expansion of y in x
0.053 * [taylor]: Taking taylor expansion of 1 in y
0.054 * [taylor]: Taking taylor expansion of 0 in y
0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.055 * [taylor]: Taking taylor expansion of y in y
0.058 * [taylor]: Taking taylor expansion of 0 in y
0.061 * [taylor]: Taking taylor expansion of 0 in y
0.062 * * * [progress]: simplifying candidates
0.062 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (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))
0.065 * * [simplify]: iteration  0 :  101  enodes  (cost  77 )
0.068 * * [simplify]: iteration  1 :  465  enodes  (cost  66 )
0.074 * * [simplify]: iteration  2 :  1240  enodes  (cost  66 )
0.103 * * [simplify]: iteration  3 :  5001  enodes  (cost  66 )
0.104 * [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 (+ (pow x 2) (pow y 2)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
  (+ (* (- (pow y 3)) y) (pow x 4))
  (- (* x x) (* y y))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.104 * * * [progress]: adding candidates to table
0.129 * * [progress]: iteration 2 / 4
0.129 * * * [progress]: picking best candidate
0.130 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
0.130 * * * [progress]: localizing error
0.141 * * * [progress]: generating rewritten candidates
0.141 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.145 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.149 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
0.153 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
0.158 * * * [progress]: generating series expansions
0.158 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.158 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.158 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.158 * [taylor]: Taking taylor expansion of x in y
0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.158 * [taylor]: Taking taylor expansion of y in y
0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.159 * [taylor]: Taking taylor expansion of x in x
0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.159 * [taylor]: Taking taylor expansion of y in x
0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.160 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.160 * [taylor]: Taking taylor expansion of x in x
0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.160 * [taylor]: Taking taylor expansion of y in x
0.161 * [taylor]: Taking taylor expansion of y in y
0.161 * [taylor]: Taking taylor expansion of 0 in y
0.162 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.162 * [taylor]: Taking taylor expansion of 1/2 in y
0.162 * [taylor]: Taking taylor expansion of y in y
0.164 * [taylor]: Taking taylor expansion of 0 in y
0.165 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.165 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.165 * [taylor]: Taking taylor expansion of x in y
0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.165 * [taylor]: Taking taylor expansion of y in y
0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.168 * [taylor]: Taking taylor expansion of x in x
0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.168 * [taylor]: Taking taylor expansion of y in x
0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.170 * [taylor]: Taking taylor expansion of x in x
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.171 * [taylor]: Taking taylor expansion of y in x
0.173 * [taylor]: Taking taylor expansion of 1 in y
0.173 * [taylor]: Taking taylor expansion of 0 in y
0.176 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.176 * [taylor]: Taking taylor expansion of 1/2 in y
0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.176 * [taylor]: Taking taylor expansion of y in y
0.179 * [taylor]: Taking taylor expansion of 0 in y
0.180 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.180 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.180 * [taylor]: Taking taylor expansion of x in y
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.180 * [taylor]: Taking taylor expansion of y in y
0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.183 * [taylor]: Taking taylor expansion of x in x
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.184 * [taylor]: Taking taylor expansion of y in x
0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.186 * [taylor]: Taking taylor expansion of x in x
0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.186 * [taylor]: Taking taylor expansion of y in x
0.188 * [taylor]: Taking taylor expansion of 1 in y
0.188 * [taylor]: Taking taylor expansion of 0 in y
0.190 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.190 * [taylor]: Taking taylor expansion of 1/2 in y
0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.190 * [taylor]: Taking taylor expansion of y in y
0.194 * [taylor]: Taking taylor expansion of 0 in y
0.195 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.196 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.196 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.196 * [taylor]: Taking taylor expansion of x in y
0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.196 * [taylor]: Taking taylor expansion of y in y
0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.196 * [taylor]: Taking taylor expansion of x in x
0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.196 * [taylor]: Taking taylor expansion of y in x
0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.197 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.197 * [taylor]: Taking taylor expansion of x in x
0.197 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.197 * [taylor]: Taking taylor expansion of y in x
0.198 * [taylor]: Taking taylor expansion of y in y
0.198 * [taylor]: Taking taylor expansion of 0 in y
0.199 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.199 * [taylor]: Taking taylor expansion of 1/2 in y
0.199 * [taylor]: Taking taylor expansion of y in y
0.201 * [taylor]: Taking taylor expansion of 0 in y
0.202 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.202 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.202 * [taylor]: Taking taylor expansion of x in y
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.202 * [taylor]: Taking taylor expansion of y in y
0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.205 * [taylor]: Taking taylor expansion of x in x
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.205 * [taylor]: Taking taylor expansion of y in x
0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.207 * [taylor]: Taking taylor expansion of x in x
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.208 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.208 * [taylor]: Taking taylor expansion of y in x
0.210 * [taylor]: Taking taylor expansion of 1 in y
0.210 * [taylor]: Taking taylor expansion of 0 in y
0.212 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.212 * [taylor]: Taking taylor expansion of 1/2 in y
0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.212 * [taylor]: Taking taylor expansion of y in y
0.216 * [taylor]: Taking taylor expansion of 0 in y
0.217 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.217 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.217 * [taylor]: Taking taylor expansion of x in y
0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.217 * [taylor]: Taking taylor expansion of y in y
0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.220 * [taylor]: Taking taylor expansion of x in x
0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.220 * [taylor]: Taking taylor expansion of y in x
0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.222 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.222 * [taylor]: Taking taylor expansion of x in x
0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.223 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.223 * [taylor]: Taking taylor expansion of y in x
0.225 * [taylor]: Taking taylor expansion of 1 in y
0.225 * [taylor]: Taking taylor expansion of 0 in y
0.227 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.227 * [taylor]: Taking taylor expansion of 1/2 in y
0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.227 * [taylor]: Taking taylor expansion of y in y
0.236 * [taylor]: Taking taylor expansion of 0 in y
0.238 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
0.238 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.238 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.238 * [taylor]: Taking taylor expansion of x in y
0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.238 * [taylor]: Taking taylor expansion of y in y
0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.238 * [taylor]: Taking taylor expansion of x in x
0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.238 * [taylor]: Taking taylor expansion of y in x
0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.238 * [taylor]: Taking taylor expansion of x in x
0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.238 * [taylor]: Taking taylor expansion of y in x
0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.238 * [taylor]: Taking taylor expansion of y in y
0.238 * [taylor]: Taking taylor expansion of 0 in y
0.239 * [taylor]: Taking taylor expansion of 1 in y
0.241 * [taylor]: Taking taylor expansion of 0 in y
0.243 * [taylor]: Taking taylor expansion of 0 in y
0.243 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.243 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.243 * [taylor]: Taking taylor expansion of x in y
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.243 * [taylor]: Taking taylor expansion of y in y
0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.244 * [taylor]: Taking taylor expansion of x in x
0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.244 * [taylor]: Taking taylor expansion of y in x
0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.244 * [taylor]: Taking taylor expansion of x in x
0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.245 * [taylor]: Taking taylor expansion of y in x
0.245 * [taylor]: Taking taylor expansion of 1 in y
0.246 * [taylor]: Taking taylor expansion of 0 in y
0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.248 * [taylor]: Taking taylor expansion of y in y
0.249 * [taylor]: Taking taylor expansion of 0 in y
0.252 * [taylor]: Taking taylor expansion of 0 in y
0.254 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.254 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.254 * [taylor]: Taking taylor expansion of x in y
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.254 * [taylor]: Taking taylor expansion of y in y
0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.255 * [taylor]: Taking taylor expansion of x in x
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.255 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.255 * [taylor]: Taking taylor expansion of y in x
0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.255 * [taylor]: Taking taylor expansion of x in x
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.256 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.256 * [taylor]: Taking taylor expansion of y in x
0.256 * [taylor]: Taking taylor expansion of 1 in y
0.257 * [taylor]: Taking taylor expansion of 0 in y
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.258 * [taylor]: Taking taylor expansion of y in y
0.260 * [taylor]: Taking taylor expansion of 0 in y
0.263 * [taylor]: Taking taylor expansion of 0 in y
0.264 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
0.264 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.264 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.264 * [taylor]: Taking taylor expansion of x in y
0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.264 * [taylor]: Taking taylor expansion of y in y
0.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.265 * [taylor]: Taking taylor expansion of x in x
0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.265 * [taylor]: Taking taylor expansion of y in x
0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.265 * [taylor]: Taking taylor expansion of x in x
0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.265 * [taylor]: Taking taylor expansion of y in x
0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.265 * [taylor]: Taking taylor expansion of y in y
0.265 * [taylor]: Taking taylor expansion of 0 in y
0.266 * [taylor]: Taking taylor expansion of 1 in y
0.267 * [taylor]: Taking taylor expansion of 0 in y
0.269 * [taylor]: Taking taylor expansion of 0 in y
0.269 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.269 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.270 * [taylor]: Taking taylor expansion of x in y
0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.270 * [taylor]: Taking taylor expansion of y in y
0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.270 * [taylor]: Taking taylor expansion of x in x
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.271 * [taylor]: Taking taylor expansion of y in x
0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.271 * [taylor]: Taking taylor expansion of x in x
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.271 * [taylor]: Taking taylor expansion of y in x
0.272 * [taylor]: Taking taylor expansion of 1 in y
0.273 * [taylor]: Taking taylor expansion of 0 in y
0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.274 * [taylor]: Taking taylor expansion of y in y
0.276 * [taylor]: Taking taylor expansion of 0 in y
0.279 * [taylor]: Taking taylor expansion of 0 in y
0.280 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.280 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.280 * [taylor]: Taking taylor expansion of x in y
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.281 * [taylor]: Taking taylor expansion of y in y
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.281 * [taylor]: Taking taylor expansion of x in x
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.282 * [taylor]: Taking taylor expansion of y in x
0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.282 * [taylor]: Taking taylor expansion of x in x
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.282 * [taylor]: Taking taylor expansion of y in x
0.283 * [taylor]: Taking taylor expansion of 1 in y
0.284 * [taylor]: Taking taylor expansion of 0 in y
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.285 * [taylor]: Taking taylor expansion of y in y
0.287 * [taylor]: Taking taylor expansion of 0 in y
0.290 * [taylor]: Taking taylor expansion of 0 in y
0.291 * * * [progress]: simplifying candidates
0.292 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (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))
0.296 * * [simplify]: iteration  0 :  125  enodes  (cost  354 )
0.299 * * [simplify]: iteration  1 :  530  enodes  (cost  326 )
0.307 * * [simplify]: iteration  2 :  1540  enodes  (cost  326 )
0.340 * * [simplify]: iteration  3 :  5001  enodes  (cost  324 )
0.342 * [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 (* 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))))
  (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 (* 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) (* 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 x) 3) (pow (* y y) 3))
  (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
  (+ (* (- (pow y 3)) y) (pow x 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 (* x x) 3) (pow (* y y) 3))
  (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
  (+ (* (- (pow y 3)) y) (pow x 4))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  y
  x
  (* -1 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))
0.342 * * * [progress]: adding candidates to table
0.485 * [progress]: [Phase 3 of 3] Extracting.
0.487 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
0.487 * * [simplify]: iteration  0 :  8  enodes  (cost  9 )
0.488 * * [simplify]: iteration  1 :  8  enodes  (cost  9 )
0.488 * [simplify]: Simplified to:
   (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
1.026 * [regime-testing]: End program error score: 0.01194021440234116