18.003 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.071 * * * [progress]: [2/2] Setting up program.
0.074 * [progress]: [Phase 2 of 3] Improving.
0.074 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (+ (* x x) (* y y))
0.076 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.078 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
0.078 * [simplify]: Simplified to:
   (+ (* x x) (* y y))
0.078 * * [progress]: iteration 1 / 4
0.078 * * * [progress]: picking best candidate
0.080 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.080 * * * [progress]: localizing error
0.085 * * * [progress]: generating rewritten candidates
0.085 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.089 * * * [progress]: generating series expansions
0.089 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.089 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.089 * [taylor]: Taking taylor expansion of x in y
0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.089 * [taylor]: Taking taylor expansion of y in y
0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.089 * [taylor]: Taking taylor expansion of x in x
0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.089 * [taylor]: Taking taylor expansion of y in x
0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.089 * [taylor]: Taking taylor expansion of x in x
0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.089 * [taylor]: Taking taylor expansion of y in x
0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.089 * [taylor]: Taking taylor expansion of y in y
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [taylor]: Taking taylor expansion of 1 in y
0.090 * [taylor]: Taking taylor expansion of 0 in y
0.090 * [taylor]: Taking taylor expansion of 0 in y
0.090 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.090 * [taylor]: Taking taylor expansion of x in y
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.090 * [taylor]: Taking taylor expansion of y in y
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.090 * [taylor]: Taking taylor expansion of y in x
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.091 * [taylor]: Taking taylor expansion of y in x
0.091 * [taylor]: Taking taylor expansion of 1 in y
0.091 * [taylor]: Taking taylor expansion of 0 in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.091 * [taylor]: Taking taylor expansion of y in y
0.091 * [taylor]: Taking taylor expansion of 0 in y
0.092 * [taylor]: Taking taylor expansion of 0 in y
0.092 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.092 * [taylor]: Taking taylor expansion of x in y
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.092 * [taylor]: Taking taylor expansion of y in y
0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.092 * [taylor]: Taking taylor expansion of x in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.092 * [taylor]: Taking taylor expansion of y in x
0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.093 * [taylor]: Taking taylor expansion of y in x
0.093 * [taylor]: Taking taylor expansion of 1 in y
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.093 * [taylor]: Taking taylor expansion of y in y
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * * * [progress]: simplifying candidates
0.094 * [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))
0.097 * * [simplify]: iteration  0 :  101  enodes  (cost  77 )
0.100 * * [simplify]: iteration  1 :  465  enodes  (cost  66 )
0.107 * * [simplify]: iteration  2 :  1240  enodes  (cost  66 )
0.138 * * [simplify]: iteration  3 :  5001  enodes  (cost  66 )
0.140 * [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)))
  (+ (* (neg (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))
0.140 * * * [progress]: adding candidates to table
0.159 * * [progress]: iteration 2 / 4
0.159 * * * [progress]: picking best candidate
0.161 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
0.161 * * * [progress]: localizing error
0.168 * * * [progress]: generating rewritten candidates
0.168 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.172 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.175 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
0.178 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
0.183 * * * [progress]: generating series expansions
0.183 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.183 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.183 * [taylor]: Taking taylor expansion of x in y
0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.183 * [taylor]: Taking taylor expansion of y in y
0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.184 * [taylor]: Taking taylor expansion of x in x
0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.184 * [taylor]: Taking taylor expansion of y in x
0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.184 * [taylor]: Taking taylor expansion of x in x
0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.184 * [taylor]: Taking taylor expansion of y in x
0.184 * [taylor]: Taking taylor expansion of y in y
0.184 * [taylor]: Taking taylor expansion of 0 in y
0.184 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.184 * [taylor]: Taking taylor expansion of 1/2 in y
0.184 * [taylor]: Taking taylor expansion of y in y
0.185 * [taylor]: Taking taylor expansion of 0 in y
0.185 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.185 * [taylor]: Taking taylor expansion of x in y
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.185 * [taylor]: Taking taylor expansion of y in y
0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.185 * [taylor]: Taking taylor expansion of x in x
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.185 * [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
0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.185 * [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
0.186 * [taylor]: Taking taylor expansion of 1 in y
0.186 * [taylor]: Taking taylor expansion of 0 in y
0.186 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.186 * [taylor]: Taking taylor expansion of 1/2 in y
0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.186 * [taylor]: Taking taylor expansion of y in y
0.187 * [taylor]: Taking taylor expansion of 0 in y
0.187 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.187 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.187 * [taylor]: Taking taylor expansion of x in y
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.187 * [taylor]: Taking taylor expansion of y in y
0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.187 * [taylor]: Taking taylor expansion of x in x
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.187 * [taylor]: Taking taylor expansion of y in x
0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.188 * [taylor]: Taking taylor expansion of x in x
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.188 * [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
0.188 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.188 * [taylor]: Taking taylor expansion of 1/2 in y
0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.188 * [taylor]: Taking taylor expansion of y in y
0.189 * [taylor]: Taking taylor expansion of 0 in y
0.189 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.189 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.189 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.189 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.189 * [taylor]: Taking taylor expansion of x in y
0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.189 * [taylor]: Taking taylor expansion of y in y
0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.190 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.190 * [taylor]: Taking taylor expansion of x in x
0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.190 * [taylor]: Taking taylor expansion of y in x
0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.190 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.190 * [taylor]: Taking taylor expansion of x in x
0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.190 * [taylor]: Taking taylor expansion of y in x
0.190 * [taylor]: Taking taylor expansion of y in y
0.190 * [taylor]: Taking taylor expansion of 0 in y
0.190 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.190 * [taylor]: Taking taylor expansion of 1/2 in y
0.190 * [taylor]: Taking taylor expansion of y in y
0.191 * [taylor]: Taking taylor expansion of 0 in y
0.191 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.191 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.191 * [taylor]: Taking taylor expansion of x in y
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.191 * [taylor]: Taking taylor expansion of y in y
0.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.191 * [taylor]: Taking taylor expansion of x in x
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.191 * [taylor]: Taking taylor expansion of y in x
0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.192 * [taylor]: Taking taylor expansion of x in x
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.192 * [taylor]: Taking taylor expansion of y in x
0.192 * [taylor]: Taking taylor expansion of 1 in y
0.192 * [taylor]: Taking taylor expansion of 0 in y
0.192 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.192 * [taylor]: Taking taylor expansion of 1/2 in y
0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.192 * [taylor]: Taking taylor expansion of y in y
0.193 * [taylor]: Taking taylor expansion of 0 in y
0.193 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.193 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.193 * [taylor]: Taking taylor expansion of x in y
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.193 * [taylor]: Taking taylor expansion of y in y
0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.193 * [taylor]: Taking taylor expansion of x in x
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.193 * [taylor]: Taking taylor expansion of y in x
0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.194 * [taylor]: Taking taylor expansion of x in x
0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.194 * [taylor]: Taking taylor expansion of y in x
0.194 * [taylor]: Taking taylor expansion of 1 in y
0.194 * [taylor]: Taking taylor expansion of 0 in y
0.194 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.194 * [taylor]: Taking taylor expansion of 1/2 in y
0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.194 * [taylor]: Taking taylor expansion of y in y
0.195 * [taylor]: Taking taylor expansion of 0 in y
0.195 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
0.195 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.195 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.195 * [taylor]: Taking taylor expansion of x in y
0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.195 * [taylor]: Taking taylor expansion of y in y
0.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.195 * [taylor]: Taking taylor expansion of x in x
0.195 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.195 * [taylor]: Taking taylor expansion of y in x
0.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.195 * [taylor]: Taking taylor expansion of x in x
0.195 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.195 * [taylor]: Taking taylor expansion of y in x
0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.195 * [taylor]: Taking taylor expansion of y in y
0.195 * [taylor]: Taking taylor expansion of 0 in y
0.196 * [taylor]: Taking taylor expansion of 1 in y
0.196 * [taylor]: Taking taylor expansion of 0 in y
0.196 * [taylor]: Taking taylor expansion of 0 in y
0.196 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x
0.197 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.197 * [taylor]: Taking taylor expansion of y in x
0.197 * [taylor]: Taking taylor expansion of 1 in y
0.197 * [taylor]: Taking taylor expansion of 0 in y
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.197 * [taylor]: Taking taylor expansion of y in y
0.197 * [taylor]: Taking taylor expansion of 0 in y
0.198 * [taylor]: Taking taylor expansion of 0 in y
0.198 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.198 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.198 * [taylor]: Taking taylor expansion of x in y
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.198 * [taylor]: Taking taylor expansion of y in y
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.198 * [taylor]: Taking taylor expansion of x in x
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.198 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.198 * [taylor]: Taking taylor expansion of y in x
0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.199 * [taylor]: Taking taylor expansion of x in x
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.199 * [taylor]: Taking taylor expansion of y in x
0.199 * [taylor]: Taking taylor expansion of 1 in y
0.199 * [taylor]: Taking taylor expansion of 0 in y
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.199 * [taylor]: Taking taylor expansion of y in y
0.199 * [taylor]: Taking taylor expansion of 0 in y
0.200 * [taylor]: Taking taylor expansion of 0 in y
0.200 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
0.200 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.200 * [taylor]: Taking taylor expansion of x in y
0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.200 * [taylor]: Taking taylor expansion of y in y
0.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.200 * [taylor]: Taking taylor expansion of x in x
0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.200 * [taylor]: Taking taylor expansion of y in x
0.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.200 * [taylor]: Taking taylor expansion of x in x
0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.200 * [taylor]: Taking taylor expansion of y in x
0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.201 * [taylor]: Taking taylor expansion of y in y
0.201 * [taylor]: Taking taylor expansion of 0 in y
0.201 * [taylor]: Taking taylor expansion of 1 in y
0.201 * [taylor]: Taking taylor expansion of 0 in y
0.201 * [taylor]: Taking taylor expansion of 0 in y
0.201 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.201 * [taylor]: Taking taylor expansion of x in y
0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.201 * [taylor]: Taking taylor expansion of y in y
0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.202 * [taylor]: Taking taylor expansion of x in x
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.202 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.202 * [taylor]: Taking taylor expansion of y in x
0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.202 * [taylor]: Taking taylor expansion of x in x
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.202 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.202 * [taylor]: Taking taylor expansion of y in x
0.202 * [taylor]: Taking taylor expansion of 1 in y
0.202 * [taylor]: Taking taylor expansion of 0 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
0.202 * [taylor]: Taking taylor expansion of 0 in y
0.203 * [taylor]: Taking taylor expansion of 0 in y
0.203 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.203 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.203 * [taylor]: Taking taylor expansion of x in y
0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.203 * [taylor]: Taking taylor expansion of y in y
0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.204 * [taylor]: Taking taylor expansion of x in x
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.204 * [taylor]: Taking taylor expansion of y in x
0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.204 * [taylor]: Taking taylor expansion of x in x
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.204 * [taylor]: Taking taylor expansion of y in x
0.204 * [taylor]: Taking taylor expansion of 1 in y
0.204 * [taylor]: Taking taylor expansion of 0 in y
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.204 * [taylor]: Taking taylor expansion of y in y
0.205 * [taylor]: Taking taylor expansion of 0 in y
0.205 * [taylor]: Taking taylor expansion of 0 in y
0.205 * * * [progress]: simplifying candidates
0.206 * [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))
0.210 * * [simplify]: iteration  0 :  125  enodes  (cost  354 )
0.213 * * [simplify]: iteration  1 :  530  enodes  (cost  326 )
0.221 * * [simplify]: iteration  2 :  1540  enodes  (cost  326 )
0.256 * * [simplify]: iteration  3 :  5001  enodes  (cost  324 )
0.259 * [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)))
  (+ (* (neg (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)))
  (+ (* (neg (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))
0.259 * * * [progress]: adding candidates to table
0.318 * [progress]: [Phase 3 of 3] Extracting.
0.321 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
0.321 * * [simplify]: iteration  0 :  8  enodes  (cost  9 )
0.322 * * [simplify]: iteration  1 :  8  enodes  (cost  9 )
0.322 * [simplify]: Simplified to:
   (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
0.887 * [regime-testing]: End program error score: 0.011440151894527684