2.621 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.018 * * * [progress]: [2/2] Setting up program.
0.019 * [progress]: [Phase 2 of 3] Improving.
0.019 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (+ (* x x) (* y y))
0.019 * [simplify]: Sending expressions to egg_math:
 (+ (* h0 h0) (* h1 h1))
0.022 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.023 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
0.023 * [simplify]: Simplified to:
   (+ (* x x) (* y y))
0.023 * * [progress]: iteration 1 / 4
0.023 * * * [progress]: picking best candidate
0.024 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.024 * * * [progress]: localizing error
0.029 * * * [progress]: generating rewritten candidates
0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.040 * * * [progress]: generating series expansions
0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.040 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y
0.040 * [taylor]: Taking taylor expansion of y in y
0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.040 * [taylor]: Taking taylor expansion of x in x
0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.040 * [taylor]: Taking taylor expansion of y in x
0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.040 * [taylor]: Taking taylor expansion of x in x
0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.040 * [taylor]: Taking taylor expansion of y in x
0.041 * [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 0 in y
0.042 * [taylor]: Taking taylor expansion of 1 in y
0.043 * [taylor]: Taking taylor expansion of 0 in y
0.045 * [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 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.055 * [taylor]: Taking taylor expansion of x 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
0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.056 * [taylor]: Taking taylor expansion of x in x
0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.056 * [taylor]: Taking taylor expansion of y in x
0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.057 * [taylor]: Taking taylor expansion of x in x
0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.057 * [taylor]: Taking taylor expansion of y in x
0.057 * [taylor]: Taking taylor expansion of 1 in y
0.058 * [taylor]: Taking taylor expansion of 0 in y
0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.059 * [taylor]: Taking taylor expansion of y in y
0.061 * [taylor]: Taking taylor expansion of 0 in y
0.064 * [taylor]: Taking taylor expansion of 0 in y
0.065 * * * [progress]: simplifying candidates
0.065 * [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]: Sending expressions to egg_math:
 (* (exp (* h0 h0)) (exp (* h1 h1)))
 (log (+ (* h0 h0) (* h1 h1)))
 (exp (+ (* h0 h0) (* h1 h1)))
 (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))
 (cbrt (+ (* h0 h0) (* h1 h1)))
 (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))
 (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))
 (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))
 (- (* h0 h0) (* h1 h1))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
0.068 * * [simplify]: iteration  0 :  101  enodes  (cost  77 )
0.071 * * [simplify]: iteration  1 :  465  enodes  (cost  66 )
0.078 * * [simplify]: iteration  2 :  1240  enodes  (cost  66 )
0.107 * * [simplify]: iteration  3 :  5001  enodes  (cost  66 )
0.108 * [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))
0.108 * * * [progress]: adding candidates to table
0.137 * * [progress]: iteration 2 / 4
0.137 * * * [progress]: picking best candidate
0.139 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
0.139 * * * [progress]: localizing error
0.146 * * * [progress]: generating rewritten candidates
0.146 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.156 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.164 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.212 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.224 * * * [progress]: generating series expansions
0.224 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.224 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.224 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.224 * [taylor]: Taking taylor expansion of x in y
0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.224 * [taylor]: Taking taylor expansion of y in y
0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.225 * [taylor]: Taking taylor expansion of y in x
0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.225 * [taylor]: Taking taylor expansion of y in x
0.226 * [taylor]: Taking taylor expansion of y in y
0.226 * [taylor]: Taking taylor expansion of 0 in y
0.227 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.227 * [taylor]: Taking taylor expansion of 1/2 in y
0.227 * [taylor]: Taking taylor expansion of y in y
0.229 * [taylor]: Taking taylor expansion of 0 in y
0.230 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.230 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.230 * [taylor]: Taking taylor expansion of x in y
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.230 * [taylor]: Taking taylor expansion of y in y
0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.232 * [taylor]: Taking taylor expansion of x in x
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.233 * [taylor]: Taking taylor expansion of y in x
0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.235 * [taylor]: Taking taylor expansion of x in x
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.235 * [taylor]: Taking taylor expansion of y in x
0.237 * [taylor]: Taking taylor expansion of 1 in y
0.237 * [taylor]: Taking taylor expansion of 0 in y
0.239 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.239 * [taylor]: Taking taylor expansion of 1/2 in y
0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.239 * [taylor]: Taking taylor expansion of y in y
0.242 * [taylor]: Taking taylor expansion of 0 in y
0.243 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
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
0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.244 * [taylor]: Taking taylor expansion of y in y
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.246 * [taylor]: Taking taylor expansion of x in x
0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.246 * [taylor]: Taking taylor expansion of y in x
0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.248 * [taylor]: Taking taylor expansion of x in x
0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.249 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.249 * [taylor]: Taking taylor expansion of y in x
0.250 * [taylor]: Taking taylor expansion of 1 in y
0.250 * [taylor]: Taking taylor expansion of 0 in y
0.252 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.252 * [taylor]: Taking taylor expansion of 1/2 in y
0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.252 * [taylor]: Taking taylor expansion of y in y
0.255 * [taylor]: Taking taylor expansion of 0 in y
0.256 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.257 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.257 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.257 * [taylor]: Taking taylor expansion of x in y
0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.257 * [taylor]: Taking taylor expansion of y in y
0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.257 * [taylor]: Taking taylor expansion of x in x
0.257 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.257 * [taylor]: Taking taylor expansion of y in x
0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.258 * [taylor]: Taking taylor expansion of x in x
0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.258 * [taylor]: Taking taylor expansion of y in x
0.258 * [taylor]: Taking taylor expansion of y in y
0.258 * [taylor]: Taking taylor expansion of 0 in y
0.260 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.260 * [taylor]: Taking taylor expansion of 1/2 in y
0.260 * [taylor]: Taking taylor expansion of y in y
0.261 * [taylor]: Taking taylor expansion of 0 in y
0.262 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.262 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.262 * [taylor]: Taking taylor expansion of x in y
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.262 * [taylor]: Taking taylor expansion of y in y
0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x
0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.265 * [taylor]: Taking taylor expansion of y in x
0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.267 * [taylor]: Taking taylor expansion of x in x
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.267 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.267 * [taylor]: Taking taylor expansion of y in x
0.269 * [taylor]: Taking taylor expansion of 1 in y
0.269 * [taylor]: Taking taylor expansion of 0 in y
0.271 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.271 * [taylor]: Taking taylor expansion of 1/2 in y
0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.271 * [taylor]: Taking taylor expansion of y in y
0.274 * [taylor]: Taking taylor expansion of 0 in y
0.275 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.275 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.275 * [taylor]: Taking taylor expansion of x in y
0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.276 * [taylor]: Taking taylor expansion of y in y
0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.278 * [taylor]: Taking taylor expansion of x in x
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.279 * [taylor]: Taking taylor expansion of y in x
0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
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
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.281 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.281 * [taylor]: Taking taylor expansion of y in x
0.283 * [taylor]: Taking taylor expansion of 1 in y
0.283 * [taylor]: Taking taylor expansion of 0 in y
0.285 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.285 * [taylor]: Taking taylor expansion of 1/2 in y
0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.285 * [taylor]: Taking taylor expansion of y in y
0.288 * [taylor]: Taking taylor expansion of 0 in y
0.289 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.289 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.289 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.289 * [taylor]: Taking taylor expansion of x in y
0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.289 * [taylor]: Taking taylor expansion of y in y
0.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.290 * [taylor]: Taking taylor expansion of x in x
0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.290 * [taylor]: Taking taylor expansion of y in x
0.290 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.290 * [taylor]: Taking taylor expansion of x in x
0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.290 * [taylor]: Taking taylor expansion of y in x
0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.290 * [taylor]: Taking taylor expansion of y in y
0.290 * [taylor]: Taking taylor expansion of 0 in y
0.291 * [taylor]: Taking taylor expansion of 1 in y
0.292 * [taylor]: Taking taylor expansion of 0 in y
0.294 * [taylor]: Taking taylor expansion of 0 in y
0.294 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.294 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.294 * [taylor]: Taking taylor expansion of x in y
0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.294 * [taylor]: Taking taylor expansion of y in y
0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.295 * [taylor]: Taking taylor expansion of x in x
0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.298 * [taylor]: Taking taylor expansion of y in x
0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.299 * [taylor]: Taking taylor expansion of x in x
0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.299 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.299 * [taylor]: Taking taylor expansion of y in x
0.300 * [taylor]: Taking taylor expansion of 1 in y
0.301 * [taylor]: Taking taylor expansion of 0 in y
0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.302 * [taylor]: Taking taylor expansion of y in y
0.304 * [taylor]: Taking taylor expansion of 0 in y
0.306 * [taylor]: Taking taylor expansion of 0 in y
0.308 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.308 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.308 * [taylor]: Taking taylor expansion of x in y
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.308 * [taylor]: Taking taylor expansion of y in y
0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.308 * [taylor]: Taking taylor expansion of x in x
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.309 * [taylor]: Taking taylor expansion of y in x
0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.309 * [taylor]: Taking taylor expansion of x in x
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.309 * [taylor]: Taking taylor expansion of y in x
0.310 * [taylor]: Taking taylor expansion of 1 in y
0.311 * [taylor]: Taking taylor expansion of 0 in y
0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.312 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.312 * [taylor]: Taking taylor expansion of y in y
0.314 * [taylor]: Taking taylor expansion of 0 in y
0.316 * [taylor]: Taking taylor expansion of 0 in y
0.317 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.318 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.318 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.318 * [taylor]: Taking taylor expansion of x in y
0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.318 * [taylor]: Taking taylor expansion of y in y
0.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.318 * [taylor]: Taking taylor expansion of x in x
0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.318 * [taylor]: Taking taylor expansion of y in x
0.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.318 * [taylor]: Taking taylor expansion of x in x
0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.318 * [taylor]: Taking taylor expansion of y in x
0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.318 * [taylor]: Taking taylor expansion of y in y
0.318 * [taylor]: Taking taylor expansion of 0 in y
0.319 * [taylor]: Taking taylor expansion of 1 in y
0.320 * [taylor]: Taking taylor expansion of 0 in y
0.322 * [taylor]: Taking taylor expansion of 0 in y
0.322 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.322 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.322 * [taylor]: Taking taylor expansion of x in y
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.322 * [taylor]: Taking taylor expansion of y in y
0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.323 * [taylor]: Taking taylor expansion of x in x
0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.323 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.323 * [taylor]: Taking taylor expansion of y in x
0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.324 * [taylor]: Taking taylor expansion of x in x
0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.324 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.324 * [taylor]: Taking taylor expansion of y in x
0.324 * [taylor]: Taking taylor expansion of 1 in y
0.325 * [taylor]: Taking taylor expansion of 0 in y
0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.326 * [taylor]: Taking taylor expansion of y in y
0.328 * [taylor]: Taking taylor expansion of 0 in y
0.331 * [taylor]: Taking taylor expansion of 0 in y
0.332 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.332 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.332 * [taylor]: Taking taylor expansion of x in y
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.333 * [taylor]: Taking taylor expansion of y in y
0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.333 * [taylor]: Taking taylor expansion of x in x
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.333 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.334 * [taylor]: Taking taylor expansion of y in x
0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.334 * [taylor]: Taking taylor expansion of x in x
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.334 * [taylor]: Taking taylor expansion of y in x
0.335 * [taylor]: Taking taylor expansion of 1 in y
0.336 * [taylor]: Taking taylor expansion of 0 in y
0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.337 * [taylor]: Taking taylor expansion of y in y
0.338 * [taylor]: Taking taylor expansion of 0 in y
0.341 * [taylor]: Taking taylor expansion of 0 in y
0.342 * * * [progress]: simplifying candidates
0.344 * [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))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))
  (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))
  (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (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 (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (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)) (* (* x x) (* y y))))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (- (* x x) (* y y))) (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) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))))
  (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 1 1)
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) 1)
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (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))
  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))
0.344 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (+ 1/2 1/2)
 (+ 1/2 (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) 1/2)
 (+ (/ 1 2) (/ 1 2))
 (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1)))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1)))
 (+ 1 1)
 (+ (log (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))))
 (log (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (exp (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (cbrt (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))))
 (cbrt (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1)))
 (sqrt (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))
 (* (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))
 (* (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))
 (* (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* h0 h0) (* h1 h1))))
 (* (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))
 (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))
 (* (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))
 (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))))
 (* (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* 1 1)
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt 1))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) 1)
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))
 (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))
 (* (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (exp (* h0 h0)) (exp (* h1 h1)))
 (log (+ (* h0 h0) (* h1 h1)))
 (exp (+ (* h0 h0) (* h1 h1)))
 (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))
 (cbrt (+ (* h0 h0) (* h1 h1)))
 (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))
 (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))
 (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))
 (- (* h0 h0) (* h1 h1))
 h1
 h0
 (* -1 h0)
 h1
 h0
 (* -1 h0)
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
0.349 * * [simplify]: iteration  0 :  198  enodes  (cost  720 )
0.354 * * [simplify]: iteration  1 :  892  enodes  (cost  654 )
0.374 * * [simplify]: iteration  2 :  4766  enodes  (cost  634 )
0.544 * * [simplify]: iteration  3 :  5001  enodes  (cost  634 )
0.547 * [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))))
  1
  1
  2
  1
  1
  (pow (sqrt (+ (* x x) (* y y))) 4)
  (+ (* x x) (* y y))
  (pow (sqrt (+ (* x x) (* y y))) 4)
  2
  (log (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (pow (sqrt (+ (* x x) (* y y))) 4)
  (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)))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y))))
  (+ (* (- (pow y 3)) y) (pow x 4))
  (- (* x x) (* y y))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4)
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  (+ (* x x) (* y y))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  (+ (* x x) (* y y))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  2
  1
  (* (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (cbrt (sqrt (+ (* x x) (* y y)))))
  (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4)
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (+ (* x x) (* y y))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (+ (* x x) (* y y))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* 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))
0.548 * * * [progress]: adding candidates to table
0.743 * [progress]: [Phase 3 of 3] Extracting.
0.743 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
0.743 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x)
0.744 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
0.755 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
0.766 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
0.778 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
0.791 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
0.802 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
0.803 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (+ (* x x) (* y y))
0.803 * [simplify]: Sending expressions to egg_math:
 (+ (* h0 h0) (* h1 h1))
0.803 * * [simplify]: iteration  0 :  6  enodes  (cost  3 )
0.804 * * [simplify]: iteration  1 :  6  enodes  (cost  3 )
0.804 * [simplify]: Simplified to:
   (+ (* x x) (* y y))
1.468 * [regime-testing]: Baseline error score: 0.007750968871108889
1.468 * [regime-testing]: Oracle error score: 0.005625703212901613
1.469 * [regime-testing]: End program error score: 0.007750968871108889