22.059 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.013 * * * [progress]: [2/2] Setting up program.
0.015 * [progress]: [Phase 2 of 3] Improving.
0.015 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) (* y y)))
0.018 * * [simplify]: iteration  0 :  7  enodes  (cost  4 )
0.019 * * [simplify]: iteration  1 :  7  enodes  (cost  4 )
0.019 * [simplify]: Simplified to:
   (sqrt (+ (* x x) (* y y)))
0.020 * * [progress]: iteration 1 / 4
0.020 * * * [progress]: picking best candidate
0.021 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.022 * * * [progress]: localizing error
0.027 * * * [progress]: generating rewritten candidates
0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.031 * * * [progress]: generating series expansions
0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.031 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.031 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.031 * [taylor]: Taking taylor expansion of x in y
0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.031 * [taylor]: Taking taylor expansion of y in y
0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.032 * [taylor]: Taking taylor expansion of x in x
0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.032 * [taylor]: Taking taylor expansion of y in x
0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.033 * [taylor]: Taking taylor expansion of x in x
0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.033 * [taylor]: Taking taylor expansion of y in x
0.033 * [taylor]: Taking taylor expansion of y in y
0.033 * [taylor]: Taking taylor expansion of 0 in y
0.034 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.035 * [taylor]: Taking taylor expansion of 1/2 in y
0.035 * [taylor]: Taking taylor expansion of y in y
0.036 * [taylor]: Taking taylor expansion of 0 in y
0.037 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.037 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.037 * [taylor]: Taking taylor expansion of x in y
0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.037 * [taylor]: Taking taylor expansion of y in y
0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x
0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.040 * [taylor]: Taking taylor expansion of y in x
0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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
0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.043 * [taylor]: Taking taylor expansion of y in x
0.045 * [taylor]: Taking taylor expansion of 1 in y
0.045 * [taylor]: Taking taylor expansion of 0 in y
0.047 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.047 * [taylor]: Taking taylor expansion of 1/2 in y
0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.047 * [taylor]: Taking taylor expansion of y in y
0.050 * [taylor]: Taking taylor expansion of 0 in y
0.051 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
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
0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.054 * [taylor]: Taking taylor expansion of x in x
0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.054 * [taylor]: Taking taylor expansion of y in x
0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
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
0.057 * [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
0.059 * [taylor]: Taking taylor expansion of 1 in y
0.059 * [taylor]: Taking taylor expansion of 0 in y
0.061 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.061 * [taylor]: Taking taylor expansion of 1/2 in y
0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.061 * [taylor]: Taking taylor expansion of y in y
0.064 * [taylor]: Taking taylor expansion of 0 in y
0.065 * * * [progress]: simplifying candidates
0.066 * [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))))
  y
  x
  (* -1 x)
0.069 * * [simplify]: iteration  0 :  89  enodes  (cost  100 )
0.071 * * [simplify]: iteration  1 :  215  enodes  (cost  97 )
0.076 * * [simplify]: iteration  2 :  503  enodes  (cost  97 )
0.085 * * [simplify]: iteration  3 :  1265  enodes  (cost  97 )
0.113 * * [simplify]: iteration  4 :  4227  enodes  (cost  97 )
0.202 * * [simplify]: iteration  5 :  5002  enodes  (cost  96 )
0.203 * [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))))
  y
  x
  (* -1 x)
0.204 * * * [progress]: adding candidates to table
0.237 * * [progress]: iteration 2 / 4
0.237 * * * [progress]: picking best candidate
0.243 * * * * [pick]: Picked  #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))>
0.243 * * * [progress]: localizing error
0.252 * * * [progress]: generating rewritten candidates
0.252 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1)
0.256 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.262 * * * [progress]: generating series expansions
0.262 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1)
0.262 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.262 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y
0.262 * [taylor]: Taking taylor expansion of y in y
0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.263 * [taylor]: Taking taylor expansion of x in x
0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.263 * [taylor]: Taking taylor expansion of y in x
0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.263 * [taylor]: Taking taylor expansion of x in x
0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.263 * [taylor]: Taking taylor expansion of y in x
0.264 * [taylor]: Taking taylor expansion of y in y
0.264 * [taylor]: Taking taylor expansion of 0 in y
0.265 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.265 * [taylor]: Taking taylor expansion of 1/2 in y
0.265 * [taylor]: Taking taylor expansion of y in y
0.267 * [taylor]: Taking taylor expansion of 0 in y
0.268 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.268 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.268 * [taylor]: Taking taylor expansion of x in y
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.268 * [taylor]: Taking taylor expansion of y in y
0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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
0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.273 * [taylor]: Taking taylor expansion of x in x
0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.274 * [taylor]: Taking taylor expansion of y in x
0.276 * [taylor]: Taking taylor expansion of 1 in y
0.276 * [taylor]: Taking taylor expansion of 0 in y
0.278 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.278 * [taylor]: Taking taylor expansion of 1/2 in y
0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.278 * [taylor]: Taking taylor expansion of y in y
0.281 * [taylor]: Taking taylor expansion of 0 in y
0.285 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.285 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.285 * [taylor]: Taking taylor expansion of x 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.287 * [taylor]: Taking taylor expansion of x in x
0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.288 * [taylor]: Taking taylor expansion of y in x
0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x
0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.290 * [taylor]: Taking taylor expansion of y in x
0.292 * [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 (/ 1/2 (pow y 2)) in y
0.294 * [taylor]: Taking taylor expansion of 1/2 in y
0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.294 * [taylor]: Taking taylor expansion of y in y
0.297 * [taylor]: Taking taylor expansion of 0 in y
0.299 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.299 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.299 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.299 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.299 * [taylor]: Taking taylor expansion of x in y
0.299 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.299 * [taylor]: Taking taylor expansion of y in y
0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.299 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x
0.299 * [taylor]: Taking taylor expansion of y in x
0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.300 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.300 * [taylor]: Taking taylor expansion of x in x
0.300 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.300 * [taylor]: Taking taylor expansion of y in x
0.300 * [taylor]: Taking taylor expansion of y in y
0.301 * [taylor]: Taking taylor expansion of 0 in y
0.302 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.302 * [taylor]: Taking taylor expansion of 1/2 in y
0.302 * [taylor]: Taking taylor expansion of y in y
0.304 * [taylor]: Taking taylor expansion of 0 in y
0.304 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.305 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.305 * [taylor]: Taking taylor expansion of x in y
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.305 * [taylor]: Taking taylor expansion of y in y
0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.307 * [taylor]: Taking taylor expansion of x in x
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.308 * [taylor]: Taking taylor expansion of y in x
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.310 * [taylor]: Taking taylor expansion of x in x
0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.310 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.310 * [taylor]: Taking taylor expansion of y in x
0.312 * [taylor]: Taking taylor expansion of 1 in y
0.312 * [taylor]: Taking taylor expansion of 0 in y
0.314 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.314 * [taylor]: Taking taylor expansion of 1/2 in y
0.314 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.314 * [taylor]: Taking taylor expansion of y in y
0.317 * [taylor]: Taking taylor expansion of 0 in y
0.319 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.319 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.319 * [taylor]: Taking taylor expansion of x in y
0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.319 * [taylor]: Taking taylor expansion of y in y
0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.321 * [taylor]: Taking taylor expansion of x in x
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.322 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.322 * [taylor]: Taking taylor expansion of y in x
0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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
0.326 * [taylor]: Taking taylor expansion of 1 in y
0.326 * [taylor]: Taking taylor expansion of 0 in y
0.328 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.328 * [taylor]: Taking taylor expansion of 1/2 in y
0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.328 * [taylor]: Taking taylor expansion of y in y
0.331 * [taylor]: Taking taylor expansion of 0 in y
0.332 * * * [progress]: simplifying candidates
0.333 * [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))))
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))
  (exp (sqrt (log (sqrt (+ (* x x) (* y y))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (exp (log (cbrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (exp (log (sqrt (cbrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* x x) (* y y)))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* x x) (* y y)))))
  (exp (log (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (exp (log (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))
  (exp (log (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (exp (log (sqrt (- (* x x) (* y y)))))
  (log (exp (log (sqrt (+ (* x x) (* y y))))))
  (exp (exp (log (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))))
  (cbrt (exp (log (sqrt (+ (* x x) (* y y))))))
  (* (* (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (+ (* x x) (* y y))))))
  (sqrt (exp (log (sqrt (+ (* x x) (* y y))))))
  (sqrt (exp (log (sqrt (+ (* x x) (* y y))))))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
0.337 * * [simplify]: iteration  0 :  136  enodes  (cost  253 )
0.339 * * [simplify]: iteration  1 :  280  enodes  (cost  247 )
0.344 * * [simplify]: iteration  2 :  583  enodes  (cost  238 )
0.353 * * [simplify]: iteration  3 :  1387  enodes  (cost  232 )
0.382 * * [simplify]: iteration  4 :  4698  enodes  (cost  232 )
0.475 * * [simplify]: iteration  5 :  5001  enodes  (cost  228 )
0.476 * [simplify]: Simplified to:
   (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (+ (* x x) (* y y)) 3/2)
  (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 1/2)
  E
  (exp 1/2)
  (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))
  (exp (sqrt (log (sqrt (+ (* x x) (* y y))))))
  E
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (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 (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)))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (+ (* x x) (* y y)) 3/2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
0.476 * * * [progress]: adding candidates to table
0.543 * * [progress]: iteration 3 / 4
0.543 * * * [progress]: picking best candidate
0.549 * * * * [pick]: Picked  #<alt (λ (x y) (* -1 x))>
0.549 * * * [progress]: localizing error
0.550 * * * [progress]: generating rewritten candidates
0.550 * * * [progress]: generating series expansions
0.550 * * * [progress]: simplifying candidates
0.551 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.553 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.553 * [simplify]: Simplified to:
   
0.553 * * * [progress]: adding candidates to table
0.553 * * [progress]: iteration 4 / 4
0.553 * * * [progress]: picking best candidate
0.558 * * * * [pick]: Picked  #<alt (λ (x y) (exp (log (* -1 x))))>
0.558 * * * [progress]: localizing error
0.565 * * * [progress]: generating rewritten candidates
0.565 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.569 * * * [progress]: generating series expansions
0.569 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.569 * [approximate]: Taking taylor expansion of (* -1 x) in (x) around 0
0.569 * [taylor]: Taking taylor expansion of (* -1 x) in x
0.569 * [taylor]: Taking taylor expansion of -1 in x
0.569 * [taylor]: Taking taylor expansion of x in x
0.569 * [taylor]: Taking taylor expansion of (* -1 x) in x
0.569 * [taylor]: Taking taylor expansion of -1 in x
0.569 * [taylor]: Taking taylor expansion of x in x
0.574 * [approximate]: Taking taylor expansion of (/ -1 x) in (x) around 0
0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.574 * [taylor]: Taking taylor expansion of -1 in x
0.574 * [taylor]: Taking taylor expansion of x in x
0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.574 * [taylor]: Taking taylor expansion of -1 in x
0.574 * [taylor]: Taking taylor expansion of x in x
0.578 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0
0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.578 * [taylor]: Taking taylor expansion of x in x
0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.579 * [taylor]: Taking taylor expansion of x in x
0.582 * * * [progress]: simplifying candidates
0.582 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (exp 1)
  (exp 1)
  (exp (* (cbrt (log (* -1 x))) (cbrt (log (* -1 x)))))
  (exp (sqrt (log (* -1 x))))
  (exp 1)
  (exp (log -1))
  (exp (log x))
  (log (exp (log (* -1 x))))
  (exp (exp (log (* -1 x))))
  (* (cbrt (exp (log (* -1 x)))) (cbrt (exp (log (* -1 x)))))
  (cbrt (exp (log (* -1 x))))
  (* (* (exp (log (* -1 x))) (exp (log (* -1 x)))) (exp (log (* -1 x))))
  (sqrt (exp (log (* -1 x))))
  (sqrt (exp (log (* -1 x))))
  (* -1 x)
  (* -1 x)
  (* -1 x)
0.585 * * [simplify]: iteration  0 :  34  enodes  (cost  50 )
0.586 * * [simplify]: iteration  1 :  87  enodes  (cost  42 )
0.588 * * [simplify]: iteration  2 :  275  enodes  (cost  42 )
0.593 * * [simplify]: iteration  3 :  866  enodes  (cost  42 )
0.605 * * [simplify]: iteration  4 :  5001  enodes  (cost  42 )
0.606 * [simplify]: Simplified to:
   E
  E
  (exp (* (cbrt (log (* -1 x))) (cbrt (log (* -1 x)))))
  (exp (sqrt (log (* -1 x))))
  E
  -1
  x
  (log (* -1 x))
  (pow (exp -1) x)
  (* (cbrt (exp (log (* -1 x)))) (cbrt (exp (log (* -1 x)))))
  (cbrt (exp (log (* -1 x))))
  (pow (* -1 x) 3)
  (sqrt (exp (log (* -1 x))))
  (sqrt (exp (log (* -1 x))))
  (* -1 x)
  (* -1 x)
  (* -1 x)
0.606 * * * [progress]: adding candidates to table
0.624 * [progress]: [Phase 3 of 3] Extracting.
0.624 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) (pow (exp (* (cbrt (log (* -1 x))) (cbrt (log (* -1 x))))) (cbrt (log (* -1 x)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (* -1 x))))> #<alt (λ (x y) (pow (exp (sqrt (log (* -1 x)))) (sqrt (log (* -1 x)))))> #<alt (λ (x y) (pow E (log (* -1 x))))> #<alt (λ (x y) (exp (log x)))>)
0.625 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
0.625 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) (pow (exp (* (cbrt (log (* -1 x))) (cbrt (log (* -1 x))))) (cbrt (log (* -1 x)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (* -1 x))))> #<alt (λ (x y) (pow (exp (sqrt (log (* -1 x)))) (sqrt (log (* -1 x)))))> #<alt (λ (x y) (pow E (log (* -1 x))))> #<alt (λ (x y) (exp (log x)))>)
0.655 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) (pow (exp (* (cbrt (log (* -1 x))) (cbrt (log (* -1 x))))) (cbrt (log (* -1 x)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (exp (log (* -1 x))))> #<alt (λ (x y) (pow (exp (sqrt (log (* -1 x)))) (sqrt (log (* -1 x)))))> #<alt (λ (x y) (pow E (log (* -1 x))))> #<alt (λ (x y) (exp (log x)))>)
0.684 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) (pow (exp (* (cbrt (log (* -1 x))) (cbrt (log (* -1 x))))) (cbrt (log (* -1 x)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (* -1 x))))> #<alt (λ (x y) (pow (exp (sqrt (log (* -1 x)))) (sqrt (log (* -1 x)))))> #<alt (λ (x y) (pow E (log (* -1 x))))> #<alt (λ (x y) (exp (log x)))>)
0.715 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) y)>)
0.729 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) (pow (exp (* (cbrt (log (* -1 x))) (cbrt (log (* -1 x))))) (cbrt (log (* -1 x)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (* -1 x))))> #<alt (λ (x y) (pow (exp (sqrt (log (* -1 x)))) (sqrt (log (* -1 x)))))> #<alt (λ (x y) (pow E (log (* -1 x))))> #<alt (λ (x y) (exp (log x)))>)
0.760 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))>)
0.771 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) (pow (exp (* (cbrt (log (* -1 x))) (cbrt (log (* -1 x))))) (cbrt (log (* -1 x)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (* -1 x))))> #<alt (λ (x y) (pow (exp (sqrt (log (* -1 x)))) (sqrt (log (* -1 x)))))> #<alt (λ (x y) (pow E (log (* -1 x))))> #<alt (λ (x y) (exp (log x)))>)
0.807 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))>)
0.822 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) (pow (exp (* (cbrt (log (* -1 x))) (cbrt (log (* -1 x))))) (cbrt (log (* -1 x)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (* -1 x))))> #<alt (λ (x y) (pow (exp (sqrt (log (* -1 x)))) (sqrt (log (* -1 x)))))> #<alt (λ (x y) (pow E (log (* -1 x))))> #<alt (λ (x y) (exp (log x)))>)
0.868 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) (pow (exp (* (cbrt (log (* -1 x))) (cbrt (log (* -1 x))))) (cbrt (log (* -1 x)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (* -1 x))))> #<alt (λ (x y) (pow (exp (sqrt (log (* -1 x)))) (sqrt (log (* -1 x)))))> #<alt (λ (x y) (pow E (log (* -1 x))))> #<alt (λ (x y) (exp (log x)))>)
0.911 * * * [regime]: Found split indices: #<option (#s(si 0 52) #s(si 3 222) #s(si 1 255))>
0.912 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) (pow (exp (* (cbrt (log (* -1 x))) (cbrt (log (* -1 x))))) (cbrt (log (* -1 x)))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) y)> #<alt (λ (x y) (exp (log (* -1 x))))> #<alt (λ (x y) (pow (exp (sqrt (log (* -1 x)))) (sqrt (log (* -1 x)))))> #<alt (λ (x y) (pow E (log (* -1 x))))> #<alt (λ (x y) (exp (log x)))>)