24.325 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.013 * * * [progress]: [2/2] Setting up program.
0.014 * [progress]: [Phase 2 of 3] Improving.
0.015 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) (* y y)))
0.017 * * [simplify]: iteration  0 :  7  enodes  (cost  4 )
0.018 * * [simplify]: iteration  1 :  7  enodes  (cost  4 )
0.018 * [simplify]: Simplified to:
   (sqrt (+ (* x x) (* y y)))
0.018 * * [progress]: iteration 1 / 4
0.018 * * * [progress]: picking best candidate
0.020 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.020 * * * [progress]: localizing error
0.025 * * * [progress]: generating rewritten candidates
0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.029 * * * [progress]: generating series expansions
0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.029 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.029 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.029 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.029 * [taylor]: Taking taylor expansion of x in y
0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.029 * [taylor]: Taking taylor expansion of y in y
0.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.030 * [taylor]: Taking taylor expansion of x in x
0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.030 * [taylor]: Taking taylor expansion of y in x
0.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.031 * [taylor]: Taking taylor expansion of x in x
0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.031 * [taylor]: Taking taylor expansion of y in x
0.031 * [taylor]: Taking taylor expansion of y in y
0.031 * [taylor]: Taking taylor expansion of 0 in y
0.032 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.032 * [taylor]: Taking taylor expansion of 1/2 in y
0.032 * [taylor]: Taking taylor expansion of y in y
0.034 * [taylor]: Taking taylor expansion of 0 in y
0.035 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.035 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.035 * [taylor]: Taking taylor expansion of x in y
0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.035 * [taylor]: Taking taylor expansion of y in y
0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.038 * [taylor]: Taking taylor expansion of x in x
0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.038 * [taylor]: Taking taylor expansion of y in x
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
0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.041 * [taylor]: Taking taylor expansion of y in x
0.043 * [taylor]: Taking taylor expansion of 1 in y
0.043 * [taylor]: Taking taylor expansion of 0 in y
0.044 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.045 * [taylor]: Taking taylor expansion of 1/2 in y
0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.045 * [taylor]: Taking taylor expansion of y in y
0.048 * [taylor]: Taking taylor expansion of 0 in y
0.049 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.049 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.049 * [taylor]: Taking taylor expansion of x 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.051 * [taylor]: Taking taylor expansion of x in x
0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.052 * [taylor]: Taking taylor expansion of y in x
0.054 * [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 1 in y
0.056 * [taylor]: Taking taylor expansion of 0 in y
0.058 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.058 * [taylor]: Taking taylor expansion of 1/2 in y
0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.058 * [taylor]: Taking taylor expansion of y in y
0.061 * [taylor]: Taking taylor expansion of 0 in y
0.063 * * * [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 )
0.075 * * [simplify]: iteration  2 :  503  enodes  (cost  97 )
0.084 * * [simplify]: iteration  3 :  1265  enodes  (cost  97 )
0.112 * * [simplify]: iteration  4 :  4227  enodes  (cost  97 )
0.199 * * [simplify]: iteration  5 :  5002  enodes  (cost  96 )
0.200 * [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)
0.200 * * * [progress]: adding candidates to table
0.232 * * [progress]: iteration 2 / 4
0.232 * * * [progress]: picking best candidate
0.236 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
0.236 * * * [progress]: localizing error
0.244 * * * [progress]: generating rewritten candidates
0.244 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1)
0.247 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.251 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
0.273 * * * [progress]: generating series expansions
0.273 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1)
0.273 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.273 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.273 * [taylor]: Taking taylor expansion of x in y
0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.273 * [taylor]: Taking taylor expansion of y in y
0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.274 * [taylor]: Taking taylor expansion of x in x
0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.274 * [taylor]: Taking taylor expansion of y in x
0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.274 * [taylor]: Taking taylor expansion of x in x
0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.274 * [taylor]: Taking taylor expansion of y in x
0.275 * [taylor]: Taking taylor expansion of y in y
0.275 * [taylor]: Taking taylor expansion of 0 in y
0.276 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.276 * [taylor]: Taking taylor expansion of 1/2 in y
0.276 * [taylor]: Taking taylor expansion of y in y
0.278 * [taylor]: Taking taylor expansion of 0 in y
0.279 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.279 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.279 * [taylor]: Taking taylor expansion of x in y
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.279 * [taylor]: Taking taylor expansion of y in y
0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.282 * [taylor]: Taking taylor expansion of x in x
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.282 * [taylor]: Taking taylor expansion of y in x
0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.284 * [taylor]: Taking taylor expansion of x in x
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.285 * [taylor]: Taking taylor expansion of y in x
0.287 * [taylor]: Taking taylor expansion of 1 in y
0.287 * [taylor]: Taking taylor expansion of 0 in y
0.289 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.289 * [taylor]: Taking taylor expansion of 1/2 in y
0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.289 * [taylor]: Taking taylor expansion of y in y
0.292 * [taylor]: Taking taylor expansion of 0 in y
0.293 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.293 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.293 * [taylor]: Taking taylor expansion of x in y
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.293 * [taylor]: Taking taylor expansion of y in y
0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.296 * [taylor]: Taking taylor expansion of x in x
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.296 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.296 * [taylor]: Taking taylor expansion of y in x
0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.298 * [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
0.301 * [taylor]: Taking taylor expansion of 1 in y
0.301 * [taylor]: Taking taylor expansion of 0 in y
0.303 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.303 * [taylor]: Taking taylor expansion of 1/2 in y
0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.303 * [taylor]: Taking taylor expansion of y in y
0.306 * [taylor]: Taking taylor expansion of 0 in y
0.307 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.307 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.307 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.307 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.307 * [taylor]: Taking taylor expansion of x in y
0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.307 * [taylor]: Taking taylor expansion of y in y
0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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
0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.308 * [taylor]: Taking taylor expansion of y in x
0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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
0.308 * [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 y in y
0.309 * [taylor]: Taking taylor expansion of 0 in y
0.310 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.310 * [taylor]: Taking taylor expansion of 1/2 in y
0.310 * [taylor]: Taking taylor expansion of y in y
0.312 * [taylor]: Taking taylor expansion of 0 in y
0.313 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.313 * [taylor]: Taking taylor expansion of x in y
0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.313 * [taylor]: Taking taylor expansion of y in y
0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.316 * [taylor]: Taking taylor expansion of x in x
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.316 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.316 * [taylor]: Taking taylor expansion of y in x
0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x
0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.319 * [taylor]: Taking taylor expansion of y in x
0.320 * [taylor]: Taking taylor expansion of 1 in y
0.321 * [taylor]: Taking taylor expansion of 0 in y
0.322 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.322 * [taylor]: Taking taylor expansion of 1/2 in y
0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.322 * [taylor]: Taking taylor expansion of y in y
0.325 * [taylor]: Taking taylor expansion of 0 in y
0.327 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.327 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.327 * [taylor]: Taking taylor expansion of x in y
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.327 * [taylor]: Taking taylor expansion of y in y
0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.329 * [taylor]: Taking taylor expansion of x in x
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.330 * [taylor]: Taking taylor expansion of y in x
0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.332 * [taylor]: Taking taylor expansion of x in x
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.332 * [taylor]: Taking taylor expansion of y in x
0.334 * [taylor]: Taking taylor expansion of 1 in y
0.334 * [taylor]: Taking taylor expansion of 0 in y
0.336 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.336 * [taylor]: Taking taylor expansion of 1/2 in y
0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.336 * [taylor]: Taking taylor expansion of y in y
0.339 * [taylor]: Taking taylor expansion of 0 in y
0.340 * * * * [progress]: [ 3 / 3 ] generating series at (2)
0.341 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.341 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.341 * [taylor]: Taking taylor expansion of x in y
0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.341 * [taylor]: Taking taylor expansion of y in y
0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.341 * [taylor]: Taking taylor expansion of x in x
0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.341 * [taylor]: Taking taylor expansion of y in x
0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.342 * [taylor]: Taking taylor expansion of x in x
0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.342 * [taylor]: Taking taylor expansion of y in x
0.342 * [taylor]: Taking taylor expansion of y in y
0.342 * [taylor]: Taking taylor expansion of 0 in y
0.344 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.344 * [taylor]: Taking taylor expansion of 1/2 in y
0.344 * [taylor]: Taking taylor expansion of y in y
0.346 * [taylor]: Taking taylor expansion of 0 in y
0.346 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.347 * [taylor]: Taking taylor expansion of x in y
0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.347 * [taylor]: Taking taylor expansion of y in y
0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.352 * [taylor]: Taking taylor expansion of x in x
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.353 * [taylor]: Taking taylor expansion of y in x
0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.355 * [taylor]: Taking taylor expansion of x in x
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.355 * [taylor]: Taking taylor expansion of y in x
0.357 * [taylor]: Taking taylor expansion of 1 in y
0.357 * [taylor]: Taking taylor expansion of 0 in y
0.359 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.359 * [taylor]: Taking taylor expansion of 1/2 in y
0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.359 * [taylor]: Taking taylor expansion of y in y
0.363 * [taylor]: Taking taylor expansion of 0 in y
0.365 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.365 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.365 * [taylor]: Taking taylor expansion of x in y
0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.365 * [taylor]: Taking taylor expansion of y in y
0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.367 * [taylor]: Taking taylor expansion of x in x
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.368 * [taylor]: Taking taylor expansion of y in x
0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.370 * [taylor]: Taking taylor expansion of x in x
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.370 * [taylor]: Taking taylor expansion of y in x
0.372 * [taylor]: Taking taylor expansion of 1 in y
0.372 * [taylor]: Taking taylor expansion of 0 in y
0.374 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.374 * [taylor]: Taking taylor expansion of 1/2 in y
0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.374 * [taylor]: Taking taylor expansion of y in y
0.377 * [taylor]: Taking taylor expansion of 0 in y
0.378 * * * [progress]: simplifying candidates
0.380 * [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 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (+ (* 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 (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (* (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))))))
  (* (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))
  (cbrt (* (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 (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (- (* x x) (* y y)))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- (* x x) (* y y)))))
  (* (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (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 (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 (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 (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
0.387 * * [simplify]: iteration  0 :  210  enodes  (cost  890 )
0.393 * * [simplify]: iteration  1 :  774  enodes  (cost  827 )
0.414 * * [simplify]: iteration  2 :  4457  enodes  (cost  806 )
0.590 * * [simplify]: iteration  3 :  5001  enodes  (cost  783 )
0.595 * [simplify]: Simplified to:
   (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4)
  (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))))
  (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4)
  (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
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* x x) (* y y))
  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (+ (* x x) (* y y))) 4)
  (+ (* x x) (* y y))
  (pow (sqrt (+ (* x x) (* y y))) 4)
  2
  (log (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4)
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (+ (* x x) (* y y))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (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 (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (- (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (- (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4)
  (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4)
  (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))))
  (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
  (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
  (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
  (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))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  2
  1/2
  1
  1/2
  (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 5)
  (* (fabs (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4)
  (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)
  (sqrt (+ (* x x) (* y y)))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
0.595 * * * [progress]: adding candidates to table
0.757 * * [progress]: iteration 3 / 4
0.757 * * * [progress]: picking best candidate
0.759 * * * * [pick]: Picked  #<alt (λ (x y) (* -1 x))>
0.759 * * * [progress]: localizing error
0.764 * * * [progress]: generating rewritten candidates
0.764 * * * [progress]: generating series expansions
0.764 * * * [progress]: simplifying candidates
0.764 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.766 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.766 * [simplify]: Simplified to:
   
0.766 * * * [progress]: adding candidates to table
0.766 * * [progress]: iteration 4 / 4
0.766 * * * [progress]: picking best candidate
0.768 * * * * [pick]: Picked  #<alt (λ (x y) x)>
0.768 * * * [progress]: localizing error
0.769 * * * [progress]: generating rewritten candidates
0.769 * * * [progress]: generating series expansions
0.769 * * * [progress]: simplifying candidates
0.769 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.772 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.772 * [simplify]: Simplified to:
   
0.772 * * * [progress]: adding candidates to table
0.772 * [progress]: [Phase 3 of 3] Extracting.
0.772 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)>)
0.772 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
0.772 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)>)
0.790 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)>)
0.808 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)>)
0.826 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
0.842 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)>)
0.866 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
0.878 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)>)
0.905 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
0.919 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)>)
0.951 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)>)
0.989 * * * [regime]: Found split indices: #<option (#s(si 2 32) #s(si 1 149) #s(si 3 160) #s(si 1 213) #s(si 3 255))>
0.990 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)>)
1.069 * [regimes]: Found splitpoints: (#s(sp 2 x -1.2007831066903334e+154) #s(sp 1 x 7.184067081095878e-197) #s(sp 3 x 1.8702588275085934e-161) #s(sp 1 x 1.3783992112517373e+122) #s(sp 3 x +nan.0)) , with alts (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) x)> #<alt (λ (x y) y)>)
1.070 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.2007831066903334e+154) (* -1 x) (if (<= x 7.184067081095878e-197) (sqrt (+ (* x x) (* y y))) (if (<= x 1.8702588275085934e-161) x (if (<= x 1.3783992112517373e+122) (sqrt (+ (* x x) (* y y))) x))))
1.071 * * [simplify]: iteration  0 :  26  enodes  (cost  9 )
1.071 * * [simplify]: iteration  1 :  29  enodes  (cost  9 )
1.071 * * [simplify]: iteration  2 :  32  enodes  (cost  9 )
1.072 * * [simplify]: iteration  3 :  32  enodes  (cost  9 )
1.072 * [simplify]: Simplified to:
   (if (<= x -1.2007831066903334e+154) (* -1 x) (if (<= x 7.184067081095878e-197) (sqrt (+ (* x x) (* y y))) (if (<= x 1.8702588275085934e-161) x (if (<= x 1.3783992112517373e+122) (sqrt (+ (* x x) (* y y))) x))))
1.576 * [regime-testing]: Baseline error score: 31.790189596774606
1.577 * [regime-testing]: Oracle error score: 7.980680683268875
1.579 * [regime-testing]: End program error score: 18.30182676406197
1.610 * [regime-testing]: Target error score: 17.889706355737097