9.755 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.020 * * * [progress]: [2/2] Setting up program.
0.022 * [progress]: [Phase 2 of 3] Improving.
0.022 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (+ (+ (* x 2.0) (* x x)) (* y y))
0.025 * * [simplify]: iteration  0 :  16  enodes  (cost  4 )
0.027 * * [simplify]: iteration  1 :  33  enodes  (cost  3 )
0.028 * * [simplify]: iteration  2 :  41  enodes  (cost  3 )
0.030 * * [simplify]: iteration  3 :  41  enodes  (cost  3 )
0.030 * [simplify]: Simplified to:
   (fma x (+ 2.0 x) (* y y))
0.032 * * [progress]: iteration 1 / 4
0.032 * * * [progress]: picking best candidate
0.035 * * * * [pick]: Picked  #<alt (λ (x y) (+ (+ (* x 2.0) (* x x)) (* y y)))>
0.035 * * * [progress]: localizing error
0.041 * * * [progress]: generating rewritten candidates
0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.070 * * * [progress]: generating series expansions
0.070 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.071 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (x y) around 0
0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.071 * [taylor]: Taking taylor expansion of x in y
0.071 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y
0.071 * [taylor]: Taking taylor expansion of (* 2.0 x) in y
0.071 * [taylor]: Taking taylor expansion of 2.0 in y
0.071 * [taylor]: Taking taylor expansion of x in y
0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.071 * [taylor]: Taking taylor expansion of y in y
0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.071 * [taylor]: Taking taylor expansion of x in x
0.071 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x
0.071 * [taylor]: Taking taylor expansion of (* 2.0 x) in x
0.071 * [taylor]: Taking taylor expansion of 2.0 in x
0.071 * [taylor]: Taking taylor expansion of x in x
0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.071 * [taylor]: Taking taylor expansion of y in x
0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x
0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.071 * [taylor]: Taking taylor expansion of x in x
0.071 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x
0.071 * [taylor]: Taking taylor expansion of (* 2.0 x) in x
0.071 * [taylor]: Taking taylor expansion of 2.0 in x
0.071 * [taylor]: Taking taylor expansion of x in x
0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.071 * [taylor]: Taking taylor expansion of y in x
0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.072 * [taylor]: Taking taylor expansion of y in y
0.073 * [taylor]: Taking taylor expansion of 2.0 in y
0.075 * [taylor]: Taking taylor expansion of 1 in y
0.076 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (x y) around 0
0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.076 * [taylor]: Taking taylor expansion of x in y
0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.076 * [taylor]: Taking taylor expansion of y in y
0.077 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y
0.077 * [taylor]: Taking taylor expansion of 2.0 in y
0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.077 * [taylor]: Taking taylor expansion of x in y
0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.077 * [taylor]: Taking taylor expansion of x in x
0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.077 * [taylor]: Taking taylor expansion of y in x
0.077 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
0.077 * [taylor]: Taking taylor expansion of 2.0 in x
0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.077 * [taylor]: Taking taylor expansion of x in x
0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.078 * [taylor]: Taking taylor expansion of x in x
0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.078 * [taylor]: Taking taylor expansion of y in x
0.079 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
0.079 * [taylor]: Taking taylor expansion of 2.0 in x
0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.079 * [taylor]: Taking taylor expansion of x in x
0.079 * [taylor]: Taking taylor expansion of 1 in y
0.081 * [taylor]: Taking taylor expansion of 2.0 in y
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.083 * [taylor]: Taking taylor expansion of y in y
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.090 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0
0.090 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.090 * [taylor]: Taking taylor expansion of x in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.091 * [taylor]: Taking taylor expansion of y in y
0.091 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y
0.091 * [taylor]: Taking taylor expansion of 2.0 in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.091 * [taylor]: Taking taylor expansion of x in y
0.091 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x
0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.091 * [taylor]: Taking taylor expansion of x in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.092 * [taylor]: Taking taylor expansion of y in x
0.092 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
0.092 * [taylor]: Taking taylor expansion of 2.0 in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.092 * [taylor]: Taking taylor expansion of x in x
0.092 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x
0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.092 * [taylor]: Taking taylor expansion of x in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.093 * [taylor]: Taking taylor expansion of y in x
0.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
0.093 * [taylor]: Taking taylor expansion of 2.0 in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.094 * [taylor]: Taking taylor expansion of 1 in y
0.096 * [taylor]: Taking taylor expansion of (- 2.0) in y
0.096 * [taylor]: Taking taylor expansion of 2.0 in y
0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.098 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.098 * [taylor]: Taking taylor expansion of y in y
0.102 * [taylor]: Taking taylor expansion of 0 in y
0.104 * * * [progress]: simplifying candidates
0.104 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (+ (+ (* x 2.0) (* x x)) (* y y)))
  (log1p (+ (+ (* x 2.0) (* x x)) (* y y)))
  (* (* (exp (* x 2.0)) (exp (* x x))) (exp (* y y)))
  (* (exp (+ (* x 2.0) (* x x))) (exp (* y y)))
  (log (+ (+ (* x 2.0) (* x x)) (* y y)))
  (exp (+ (+ (* x 2.0) (* x x)) (* y y)))
  (* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
  (cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
  (* (* (+ (+ (* x 2.0) (* x x)) (* y y)) (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (+ (* x 2.0) (* x x)) (* y y)))
  (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
  (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
  (+ (pow (+ (* x 2.0) (* x x)) 3) (pow (* y y) 3))
  (+ (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (- (* (* y y) (* y y)) (* (+ (* x 2.0) (* x x)) (* y y))))
  (- (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (* (* y y) (* y y)))
  (- (+ (* x 2.0) (* x x)) (* y y))
  (+ (+ (* x 2.0) (* x x)) (* y y))
  (+ (+ (* x 2.0) (* x x)) (* y y))
  (+ (+ (* x 2.0) (* x x)) (* y y))
  (+ (+ (* x 2.0) (* x x)) (* y y))
  (+ (+ (* x 2.0) (* x x)) (* y y))
  (+ (+ (* x 2.0) (* x x)) (* y y))
  (+ (+ (* x 2.0) (* x x)) (* y y))
  (+ (+ (* x 2.0) (* x x)) (* y y))
  (+ (+ (* x 2.0) (* x x)) (* y y))
  (+ (+ (* x 2.0) (* x x)) (* y y))
  (+ (* x x) (* y y))
  (+ (* x 2.0) (* y y))
  (+ (pow x 2) (+ (* 2.0 x) (pow y 2)))
  (+ (pow x 2) (+ (* 2.0 x) (pow y 2)))
  (+ (pow x 2) (+ (* 2.0 x) (pow y 2)))
0.108 * * [simplify]: iteration  0 :  125  enodes  (cost  174 )
0.112 * * [simplify]: iteration  1 :  610  enodes  (cost  142 )
0.125 * * [simplify]: iteration  2 :  2938  enodes  (cost  135 )
0.180 * * [simplify]: iteration  3 :  5001  enodes  (cost  133 )
0.182 * [simplify]: Simplified to:
   (expm1 (+ (+ (* x 2.0) (* x x)) (* y y)))
  (log1p (+ (+ (* x 2.0) (* x x)) (* y y)))
  (exp (fma 2.0 x (fma x x (* y y))))
  (exp (fma 2.0 x (fma x x (* y y))))
  (log (+ (+ (* x 2.0) (* x x)) (* y y)))
  (exp (fma 2.0 x (fma x x (* y y))))
  (* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
  (cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
  (pow (fma 2.0 x (fma x x (* y y))) 3)
  (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
  (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
  (fma y (pow y 5) (pow (fma x 2.0 (* x x)) 3))
  (fma (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2))) (pow y 4))
  (* (fma 2.0 x (- (pow x 2) (pow y 2))) (fma 2.0 x (fma x x (* y y))))
  (fma 2.0 x (- (pow x 2) (pow y 2)))
  (fma 2.0 x (fma x x (* y y)))
  (fma 2.0 x (fma x x (* y y)))
  (fma 2.0 x (fma x x (* y y)))
  (fma 2.0 x (fma x x (* y y)))
  (fma 2.0 x (fma x x (* y y)))
  (fma 2.0 x (fma x x (* y y)))
  (fma 2.0 x (fma x x (* y y)))
  (fma 2.0 x (fma x x (* y y)))
  (fma 2.0 x (fma x x (* y y)))
  (fma 2.0 x (fma x x (* y y)))
  (fma x x (* y y))
  (fma 2.0 x (pow y 2))
  (fma 2.0 x (fma x x (* y y)))
  (fma 2.0 x (fma x x (* y y)))
  (fma 2.0 x (fma x x (* y y)))
0.182 * * * [progress]: adding candidates to table
0.227 * * [progress]: iteration 2 / 4
0.227 * * * [progress]: picking best candidate
0.229 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x 2.0) (fma x x (* y y))))>
0.229 * * * [progress]: localizing error
0.235 * * * [progress]: generating rewritten candidates
0.235 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2)
0.236 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.245 * * * [progress]: generating series expansions
0.245 * * * * [progress]: [ 1 / 2 ] generating series at (2 2)
0.245 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0
0.245 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
0.245 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.245 * [taylor]: Taking taylor expansion of (* x x) in y
0.245 * [taylor]: Taking taylor expansion of x in y
0.245 * [taylor]: Taking taylor expansion of x in y
0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.245 * [taylor]: Taking taylor expansion of y in y
0.245 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.245 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.245 * [taylor]: Taking taylor expansion of (* x x) in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.245 * [taylor]: Taking taylor expansion of y in x
0.245 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.245 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.245 * [taylor]: Taking taylor expansion of (* x x) in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.245 * [taylor]: Taking taylor expansion of y in x
0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.246 * [taylor]: Taking taylor expansion of y in y
0.247 * [taylor]: Taking taylor expansion of 0 in y
0.248 * [taylor]: Taking taylor expansion of 1 in y
0.249 * [taylor]: Taking taylor expansion of 0 in y
0.251 * [taylor]: Taking taylor expansion of 0 in y
0.252 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0
0.252 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
0.252 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.252 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.252 * [taylor]: Taking taylor expansion of x in y
0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.252 * [taylor]: Taking taylor expansion of x in y
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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
0.253 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.253 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.253 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.253 * [taylor]: Taking taylor expansion of x in x
0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.253 * [taylor]: Taking taylor expansion of x in x
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.253 * [taylor]: Taking taylor expansion of y in x
0.253 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.254 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.254 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.254 * [taylor]: Taking taylor expansion of x in x
0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.254 * [taylor]: Taking taylor expansion of x in x
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.254 * [taylor]: Taking taylor expansion of y in x
0.255 * [taylor]: Taking taylor expansion of 1 in y
0.256 * [taylor]: Taking taylor expansion of 0 in y
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.258 * [taylor]: Taking taylor expansion of y in y
0.261 * [taylor]: Taking taylor expansion of 0 in y
0.264 * [taylor]: Taking taylor expansion of 0 in y
0.266 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0
0.266 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
0.266 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.266 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.266 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.266 * [taylor]: Taking taylor expansion of -1 in y
0.266 * [taylor]: Taking taylor expansion of x in y
0.266 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.266 * [taylor]: Taking taylor expansion of -1 in y
0.266 * [taylor]: Taking taylor expansion of x in y
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.266 * [taylor]: Taking taylor expansion of y in y
0.266 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.267 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.267 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.267 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.267 * [taylor]: Taking taylor expansion of -1 in x
0.267 * [taylor]: Taking taylor expansion of x in x
0.267 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.267 * [taylor]: Taking taylor expansion of -1 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
0.267 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.268 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.268 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.268 * [taylor]: Taking taylor expansion of -1 in x
0.268 * [taylor]: Taking taylor expansion of x in x
0.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.268 * [taylor]: Taking taylor expansion of -1 in x
0.268 * [taylor]: Taking taylor expansion of x in x
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.268 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.268 * [taylor]: Taking taylor expansion of y in x
0.269 * [taylor]: Taking taylor expansion of 1 in y
0.271 * [taylor]: Taking taylor expansion of 0 in y
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.272 * [taylor]: Taking taylor expansion of y in y
0.275 * [taylor]: Taking taylor expansion of 0 in y
0.281 * [taylor]: Taking taylor expansion of 0 in y
0.282 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.283 * [approximate]: Taking taylor expansion of (+ (fma x x (pow y 2)) (* 2.0 x)) in (x y) around 0
0.283 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (* 2.0 x)) in y
0.283 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
0.283 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.283 * [taylor]: Taking taylor expansion of (* x x) in y
0.283 * [taylor]: Taking taylor expansion of x in y
0.283 * [taylor]: Taking taylor expansion of x in y
0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.283 * [taylor]: Taking taylor expansion of y in y
0.283 * [taylor]: Taking taylor expansion of (* 2.0 x) in y
0.283 * [taylor]: Taking taylor expansion of 2.0 in y
0.283 * [taylor]: Taking taylor expansion of x in y
0.283 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (* 2.0 x)) in x
0.283 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.283 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.283 * [taylor]: Taking taylor expansion of (* x x) in x
0.283 * [taylor]: Taking taylor expansion of x in x
0.283 * [taylor]: Taking taylor expansion of x in x
0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.283 * [taylor]: Taking taylor expansion of y in x
0.283 * [taylor]: Taking taylor expansion of (* 2.0 x) in x
0.283 * [taylor]: Taking taylor expansion of 2.0 in x
0.283 * [taylor]: Taking taylor expansion of x in x
0.283 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (* 2.0 x)) in x
0.283 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.283 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.283 * [taylor]: Taking taylor expansion of (* x x) in x
0.283 * [taylor]: Taking taylor expansion of x in x
0.283 * [taylor]: Taking taylor expansion of x in x
0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.283 * [taylor]: Taking taylor expansion of y in x
0.283 * [taylor]: Taking taylor expansion of (* 2.0 x) in x
0.283 * [taylor]: Taking taylor expansion of 2.0 in x
0.283 * [taylor]: Taking taylor expansion of x in x
0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.284 * [taylor]: Taking taylor expansion of y in y
0.286 * [taylor]: Taking taylor expansion of 2.0 in y
0.288 * [taylor]: Taking taylor expansion of 1 in y
0.289 * [approximate]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0
0.289 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y
0.289 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
0.289 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.289 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.289 * [taylor]: Taking taylor expansion of x in y
0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.289 * [taylor]: Taking taylor expansion of x in y
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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
0.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y
0.290 * [taylor]: Taking taylor expansion of 2.0 in y
0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.290 * [taylor]: Taking taylor expansion of x in y
0.290 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x
0.290 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.290 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.290 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.290 * [taylor]: Taking taylor expansion of x in x
0.290 * [taylor]: Taking taylor expansion of (/ 1 x) 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
0.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
0.291 * [taylor]: Taking taylor expansion of 2.0 in x
0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.291 * [taylor]: Taking taylor expansion of x in x
0.291 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x
0.291 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.291 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.291 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.291 * [taylor]: Taking taylor expansion of x in x
0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.291 * [taylor]: Taking taylor expansion of x in x
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.292 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.292 * [taylor]: Taking taylor expansion of y in x
0.292 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
0.292 * [taylor]: Taking taylor expansion of 2.0 in x
0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.292 * [taylor]: Taking taylor expansion of x in x
0.293 * [taylor]: Taking taylor expansion of 1 in y
0.295 * [taylor]: Taking taylor expansion of 2.0 in y
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.297 * [taylor]: Taking taylor expansion of y in y
0.301 * [taylor]: Taking taylor expansion of 0 in y
0.302 * [approximate]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0
0.302 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y
0.303 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
0.303 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.303 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.303 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.303 * [taylor]: Taking taylor expansion of -1 in y
0.303 * [taylor]: Taking taylor expansion of x in y
0.303 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.303 * [taylor]: Taking taylor expansion of -1 in y
0.303 * [taylor]: Taking taylor expansion of x in y
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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
0.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y
0.303 * [taylor]: Taking taylor expansion of 2.0 in y
0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.303 * [taylor]: Taking taylor expansion of x in y
0.303 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x
0.303 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.304 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.304 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.304 * [taylor]: Taking taylor expansion of -1 in x
0.304 * [taylor]: Taking taylor expansion of x in x
0.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.304 * [taylor]: Taking taylor expansion of -1 in x
0.304 * [taylor]: Taking taylor expansion of x in x
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.304 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.304 * [taylor]: Taking taylor expansion of y in x
0.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
0.304 * [taylor]: Taking taylor expansion of 2.0 in x
0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.305 * [taylor]: Taking taylor expansion of x in x
0.305 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x
0.305 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.305 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.305 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.305 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.305 * [taylor]: Taking taylor expansion of -1 in x
0.305 * [taylor]: Taking taylor expansion of x in x
0.305 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.305 * [taylor]: Taking taylor expansion of -1 in x
0.305 * [taylor]: Taking taylor expansion of x in x
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.306 * [taylor]: Taking taylor expansion of y in x
0.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
0.306 * [taylor]: Taking taylor expansion of 2.0 in x
0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.306 * [taylor]: Taking taylor expansion of x in x
0.307 * [taylor]: Taking taylor expansion of 1 in y
0.309 * [taylor]: Taking taylor expansion of (- 2.0) in y
0.309 * [taylor]: Taking taylor expansion of 2.0 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
0.316 * [taylor]: Taking taylor expansion of 0 in y
0.318 * * * [progress]: simplifying candidates
0.319 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (expm1 (+ (* x 2.0) (fma x x (* y y))))
  (log1p (+ (* x 2.0) (fma x x (* y y))))
  (* (exp (* x 2.0)) (exp (fma x x (* y y))))
  (log (+ (* x 2.0) (fma x x (* y y))))
  (exp (+ (* x 2.0) (fma x x (* y y))))
  (* (cbrt (+ (* x 2.0) (fma x x (* y y)))) (cbrt (+ (* x 2.0) (fma x x (* y y)))))
  (cbrt (+ (* x 2.0) (fma x x (* y y))))
  (* (* (+ (* x 2.0) (fma x x (* y y))) (+ (* x 2.0) (fma x x (* y y)))) (+ (* x 2.0) (fma x x (* y y))))
  (sqrt (+ (* x 2.0) (fma x x (* y y))))
  (sqrt (+ (* x 2.0) (fma x x (* y y))))
  (+ (pow (* x 2.0) 3) (pow (fma x x (* y y)) 3))
  (+ (* (* x 2.0) (* x 2.0)) (- (* (fma x x (* y y)) (fma x x (* y y))) (* (* x 2.0) (fma x x (* y y)))))
  (- (* (* x 2.0) (* x 2.0)) (* (fma x x (* y y)) (fma x x (* y y))))
  (- (* x 2.0) (fma x x (* y y)))
  (+ (* x 2.0) (fma x x (* y y)))
  (+ (* x 2.0) (fma x x (* y y)))
  (+ (* x 2.0) (* x x))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (+ (* 2.0 x) (pow y 2)))
  (+ (pow x 2) (+ (* 2.0 x) (pow y 2)))
  (+ (pow x 2) (+ (* 2.0 x) (pow y 2)))
0.323 * * [simplify]: iteration  0 :  113  enodes  (cost  151 )
0.326 * * [simplify]: iteration  1 :  424  enodes  (cost  134 )
0.336 * * [simplify]: iteration  2 :  1813  enodes  (cost  134 )
0.374 * * [simplify]: iteration  3 :  5001  enodes  (cost  134 )
0.376 * [simplify]: Simplified to:
   (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (pow x 2)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (pow (fma x x (* y y)) 3)
  (hypot x y)
  (hypot x y)
  (expm1 (+ (* x 2.0) (fma x x (* y y))))
  (log1p (+ (* x 2.0) (fma x x (* y y))))
  (exp (+ (* x 2.0) (fma x x (* y y))))
  (log (+ (* x 2.0) (fma x x (* y y))))
  (exp (+ (* x 2.0) (fma x x (* y y))))
  (* (cbrt (+ (* x 2.0) (fma x x (* y y)))) (cbrt (+ (* x 2.0) (fma x x (* y y)))))
  (cbrt (+ (* x 2.0) (fma x x (* y y))))
  (pow (fma x 2.0 (fma x x (* y y))) 3)
  (sqrt (+ (* x 2.0) (fma x x (* y y))))
  (sqrt (+ (* x 2.0) (fma x x (* y y))))
  (+ (pow (* x 2.0) 3) (pow (fma x x (* y y)) 3))
  (fma (pow x 2) (* 2.0 2.0) (* (fma x x (* y y)) (- (fma x x (* y y)) (* x 2.0))))
  (* (fma x 2.0 (fma x x (* y y))) (- (* x 2.0) (fma x x (* y y))))
  (- (* x 2.0) (fma x x (* y y)))
  (fma x 2.0 (fma x x (* y y)))
  (fma x 2.0 (fma x x (* y y)))
  (fma x 2.0 (* x x))
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x 2.0 (fma x x (* y y)))
  (fma x 2.0 (fma x x (* y y)))
  (fma x 2.0 (fma x x (* y y)))
0.376 * * * [progress]: adding candidates to table
0.446 * [progress]: [Phase 3 of 3] Extracting.
0.448 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (+ (* x 2.0) (fma x x (* y y)))
0.449 * * [simplify]: iteration  0 :  9  enodes  (cost  4 )
0.449 * * [simplify]: iteration  1 :  9  enodes  (cost  4 )
0.449 * [simplify]: Simplified to:
   (+ (* x 2.0) (fma x x (* y y)))
1.048 * [regime-testing]: End program error score: 0.01073358932305633
1.068 * [regime-testing]: Target error score: 0.012358792473450128