16.227 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.030 * * * [progress]: [2/2] Setting up program.
0.033 * [progress]: [Phase 2 of 3] Improving.
0.033 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.033 * * [simplify]: iteration 0: 5 enodes
0.034 * * [simplify]: iteration 1: 6 enodes
0.035 * * [simplify]: iteration complete: 6 enodes
0.035 * * [simplify]: Extracting #0: cost 1 inf + 0
0.035 * * [simplify]: Extracting #1: cost 3 inf + 0
0.035 * * [simplify]: Extracting #2: cost 5 inf + 0
0.035 * * [simplify]: Extracting #3: cost 2 inf + 5
0.035 * * [simplify]: Extracting #4: cost 0 inf + 15
0.035 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
0.035 * * [progress]: iteration 1 / 4
0.035 * * * [progress]: picking best candidate
0.038 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.038 * * * [progress]: localizing error
0.058 * * * [progress]: generating rewritten candidates
0.058 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.073 * * * [progress]: generating series expansions
0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.074 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.074 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.074 * [taylor]: Taking taylor expansion of y in y
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.074 * [taylor]: Taking taylor expansion of x in y
0.074 * [backup-simplify]: Simplify x into x
0.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.074 * [taylor]: Taking taylor expansion of y in x
0.074 * [backup-simplify]: Simplify y into y
0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.074 * [taylor]: Taking taylor expansion of x in x
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.074 * [taylor]: Taking taylor expansion of y in x
0.074 * [backup-simplify]: Simplify y into y
0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.075 * [taylor]: Taking taylor expansion of x in x
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.075 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [taylor]: Taking taylor expansion of 0 in y
0.076 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.078 * [backup-simplify]: Simplify (+ 0 1) into 1
0.078 * [taylor]: Taking taylor expansion of 1 in y
0.079 * [backup-simplify]: Simplify 1 into 1
0.079 * [backup-simplify]: Simplify 1 into 1
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (* 1 1) into 1
0.079 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [taylor]: Taking taylor expansion of 0 in y
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [taylor]: Taking taylor expansion of 0 in y
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.087 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.087 * [taylor]: Taking taylor expansion of y in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (* 1 1) into 1
0.088 * [backup-simplify]: Simplify (/ 1 1) into 1
0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.088 * [taylor]: Taking taylor expansion of x in y
0.088 * [backup-simplify]: Simplify x into x
0.088 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.088 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.088 * [taylor]: Taking taylor expansion of y in x
0.088 * [backup-simplify]: Simplify y into y
0.089 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.089 * [taylor]: Taking taylor expansion of x in x
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.089 * [backup-simplify]: Simplify (* 1 1) into 1
0.090 * [backup-simplify]: Simplify (/ 1 1) into 1
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.090 * [taylor]: Taking taylor expansion of y in x
0.090 * [backup-simplify]: Simplify y into y
0.090 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.090 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (* 1 1) into 1
0.091 * [backup-simplify]: Simplify (/ 1 1) into 1
0.092 * [backup-simplify]: Simplify (+ 0 1) into 1
0.092 * [taylor]: Taking taylor expansion of 1 in y
0.092 * [backup-simplify]: Simplify 1 into 1
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.096 * [taylor]: Taking taylor expansion of y in y
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [taylor]: Taking taylor expansion of 0 in y
0.105 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.107 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.107 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.107 * [taylor]: Taking taylor expansion of y in y
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (/ 1 1) into 1
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.107 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.107 * [taylor]: Taking taylor expansion of x in y
0.107 * [backup-simplify]: Simplify x into x
0.107 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.108 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.108 * [taylor]: Taking taylor expansion of y in x
0.108 * [backup-simplify]: Simplify y into y
0.108 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.108 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.108 * [taylor]: Taking taylor expansion of x in x
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify (/ 1 1) into 1
0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.108 * [taylor]: Taking taylor expansion of y in x
0.108 * [backup-simplify]: Simplify y into y
0.109 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.109 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.109 * [taylor]: Taking taylor expansion of x in x
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 1 into 1
0.109 * [backup-simplify]: Simplify (* 1 1) into 1
0.109 * [backup-simplify]: Simplify (/ 1 1) into 1
0.109 * [backup-simplify]: Simplify (+ 0 1) into 1
0.110 * [taylor]: Taking taylor expansion of 1 in y
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [taylor]: Taking taylor expansion of 0 in y
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.112 * [taylor]: Taking taylor expansion of y in y
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (* 1 1) into 1
0.113 * [backup-simplify]: Simplify (/ 1 1) into 1
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [taylor]: Taking taylor expansion of 0 in y
0.114 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [taylor]: Taking taylor expansion of 0 in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.120 * * * [progress]: simplifying candidates
0.120 * [simplify]: Simplifying:
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
0.120 * * [simplify]: iteration 0: 30 enodes
0.126 * * [simplify]: iteration 1: 115 enodes
0.189 * * [simplify]: iteration 2: 639 enodes
1.747 * * [simplify]: iteration 3: 4731 enodes
4.110 * * [simplify]: iteration complete: 5000 enodes
4.110 * * [simplify]: Extracting #0: cost 11 inf + 0
4.110 * * [simplify]: Extracting #1: cost 171 inf + 0
4.116 * * [simplify]: Extracting #2: cost 1399 inf + 1
4.129 * * [simplify]: Extracting #3: cost 1519 inf + 1606
4.142 * * [simplify]: Extracting #4: cost 669 inf + 5758
4.155 * * [simplify]: Extracting #5: cost 116 inf + 10137
4.163 * * [simplify]: Extracting #6: cost 7 inf + 11206
4.172 * * [simplify]: Extracting #7: cost 0 inf + 11269
4.184 * [simplify]: Simplified to:
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (- (pow y 3) (* (* y x) x)) y) (pow x 4))
  (- (pow x 4) (pow y 4))
  (* (- x y) (+ x y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
4.184 * * * [progress]: adding candidates to table
4.230 * * [progress]: iteration 2 / 4
4.230 * * * [progress]: picking best candidate
4.236 * * * * [pick]: Picked  #<alt (λ (x y) (cbrt (pow (+ (* x x) (* y y)) 3)))>
4.236 * * * [progress]: localizing error
4.259 * * * [progress]: generating rewritten candidates
4.259 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
4.274 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
4.290 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
4.305 * * * [progress]: generating series expansions
4.305 * * * * [progress]: [ 1 / 3 ] generating series at (2)
4.305 * [backup-simplify]: Simplify (cbrt (pow (+ (* x x) (* y y)) 3)) into (+ (pow y 2) (pow x 2))
4.305 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
4.305 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.305 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.305 * [taylor]: Taking taylor expansion of y in y
4.305 * [backup-simplify]: Simplify 0 into 0
4.305 * [backup-simplify]: Simplify 1 into 1
4.305 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.305 * [taylor]: Taking taylor expansion of x in y
4.305 * [backup-simplify]: Simplify x into x
4.305 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.305 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.306 * [taylor]: Taking taylor expansion of y in x
4.306 * [backup-simplify]: Simplify y into y
4.306 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.306 * [taylor]: Taking taylor expansion of x in x
4.306 * [backup-simplify]: Simplify 0 into 0
4.306 * [backup-simplify]: Simplify 1 into 1
4.306 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.306 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.306 * [taylor]: Taking taylor expansion of y in x
4.306 * [backup-simplify]: Simplify y into y
4.306 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.306 * [taylor]: Taking taylor expansion of x in x
4.306 * [backup-simplify]: Simplify 0 into 0
4.306 * [backup-simplify]: Simplify 1 into 1
4.306 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.306 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.306 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.306 * [taylor]: Taking taylor expansion of y in y
4.306 * [backup-simplify]: Simplify 0 into 0
4.306 * [backup-simplify]: Simplify 1 into 1
4.306 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.307 * [backup-simplify]: Simplify (+ 0 0) into 0
4.307 * [taylor]: Taking taylor expansion of 0 in y
4.307 * [backup-simplify]: Simplify 0 into 0
4.307 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.308 * [backup-simplify]: Simplify (* 1 1) into 1
4.309 * [backup-simplify]: Simplify (+ 0 1) into 1
4.309 * [taylor]: Taking taylor expansion of 1 in y
4.309 * [backup-simplify]: Simplify 1 into 1
4.309 * [backup-simplify]: Simplify 1 into 1
4.309 * [backup-simplify]: Simplify 0 into 0
4.309 * [backup-simplify]: Simplify (* 1 1) into 1
4.309 * [backup-simplify]: Simplify 1 into 1
4.310 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.311 * [backup-simplify]: Simplify (+ 0 0) into 0
4.311 * [taylor]: Taking taylor expansion of 0 in y
4.311 * [backup-simplify]: Simplify 0 into 0
4.311 * [backup-simplify]: Simplify 0 into 0
4.311 * [backup-simplify]: Simplify 0 into 0
4.311 * [backup-simplify]: Simplify 0 into 0
4.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.313 * [backup-simplify]: Simplify 0 into 0
4.314 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.315 * [backup-simplify]: Simplify (+ 0 0) into 0
4.315 * [taylor]: Taking taylor expansion of 0 in y
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
4.316 * [backup-simplify]: Simplify (cbrt (pow (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) 3)) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.316 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.316 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.316 * [taylor]: Taking taylor expansion of y in y
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify 1 into 1
4.317 * [backup-simplify]: Simplify (* 1 1) into 1
4.317 * [backup-simplify]: Simplify (/ 1 1) into 1
4.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.317 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.317 * [taylor]: Taking taylor expansion of x in y
4.317 * [backup-simplify]: Simplify x into x
4.318 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.318 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.318 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.318 * [taylor]: Taking taylor expansion of y in x
4.318 * [backup-simplify]: Simplify y into y
4.318 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.318 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.318 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.318 * [taylor]: Taking taylor expansion of x in x
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 1 into 1
4.319 * [backup-simplify]: Simplify (* 1 1) into 1
4.319 * [backup-simplify]: Simplify (/ 1 1) into 1
4.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.319 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.319 * [taylor]: Taking taylor expansion of y in x
4.319 * [backup-simplify]: Simplify y into y
4.319 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.319 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.319 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.319 * [taylor]: Taking taylor expansion of x in x
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 1 into 1
4.320 * [backup-simplify]: Simplify (* 1 1) into 1
4.320 * [backup-simplify]: Simplify (/ 1 1) into 1
4.321 * [backup-simplify]: Simplify (+ 0 1) into 1
4.321 * [taylor]: Taking taylor expansion of 1 in y
4.321 * [backup-simplify]: Simplify 1 into 1
4.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.323 * [backup-simplify]: Simplify (+ 0 0) into 0
4.323 * [taylor]: Taking taylor expansion of 0 in y
4.323 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.325 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.325 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.325 * [taylor]: Taking taylor expansion of y in y
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 1 into 1
4.325 * [backup-simplify]: Simplify (* 1 1) into 1
4.326 * [backup-simplify]: Simplify (/ 1 1) into 1
4.326 * [backup-simplify]: Simplify 1 into 1
4.326 * [backup-simplify]: Simplify 1 into 1
4.326 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.329 * [backup-simplify]: Simplify (+ 0 0) into 0
4.329 * [taylor]: Taking taylor expansion of 0 in y
4.329 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.335 * [backup-simplify]: Simplify (+ 0 0) into 0
4.335 * [taylor]: Taking taylor expansion of 0 in y
4.335 * [backup-simplify]: Simplify 0 into 0
4.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.337 * [backup-simplify]: Simplify 0 into 0
4.337 * [backup-simplify]: Simplify 0 into 0
4.337 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
4.338 * [backup-simplify]: Simplify (cbrt (pow (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) 3)) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.338 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.338 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.338 * [taylor]: Taking taylor expansion of y in y
4.338 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify 1 into 1
4.339 * [backup-simplify]: Simplify (* 1 1) into 1
4.339 * [backup-simplify]: Simplify (/ 1 1) into 1
4.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.339 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.339 * [taylor]: Taking taylor expansion of x in y
4.339 * [backup-simplify]: Simplify x into x
4.339 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.340 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.340 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.340 * [taylor]: Taking taylor expansion of y in x
4.340 * [backup-simplify]: Simplify y into y
4.340 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.340 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.340 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.340 * [taylor]: Taking taylor expansion of x in x
4.340 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify 1 into 1
4.341 * [backup-simplify]: Simplify (* 1 1) into 1
4.341 * [backup-simplify]: Simplify (/ 1 1) into 1
4.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.341 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.341 * [taylor]: Taking taylor expansion of y in x
4.341 * [backup-simplify]: Simplify y into y
4.341 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.341 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.341 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.341 * [taylor]: Taking taylor expansion of x in x
4.341 * [backup-simplify]: Simplify 0 into 0
4.341 * [backup-simplify]: Simplify 1 into 1
4.342 * [backup-simplify]: Simplify (* 1 1) into 1
4.342 * [backup-simplify]: Simplify (/ 1 1) into 1
4.343 * [backup-simplify]: Simplify (+ 0 1) into 1
4.343 * [taylor]: Taking taylor expansion of 1 in y
4.343 * [backup-simplify]: Simplify 1 into 1
4.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.345 * [backup-simplify]: Simplify (+ 0 0) into 0
4.345 * [taylor]: Taking taylor expansion of 0 in y
4.345 * [backup-simplify]: Simplify 0 into 0
4.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.346 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.346 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.346 * [taylor]: Taking taylor expansion of y in y
4.346 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify 1 into 1
4.347 * [backup-simplify]: Simplify (* 1 1) into 1
4.347 * [backup-simplify]: Simplify (/ 1 1) into 1
4.347 * [backup-simplify]: Simplify 1 into 1
4.347 * [backup-simplify]: Simplify 1 into 1
4.347 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.349 * [backup-simplify]: Simplify (+ 0 0) into 0
4.349 * [taylor]: Taking taylor expansion of 0 in y
4.349 * [backup-simplify]: Simplify 0 into 0
4.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.353 * [backup-simplify]: Simplify 0 into 0
4.353 * [backup-simplify]: Simplify 0 into 0
4.353 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.356 * [backup-simplify]: Simplify (+ 0 0) into 0
4.356 * [taylor]: Taking taylor expansion of 0 in y
4.356 * [backup-simplify]: Simplify 0 into 0
4.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
4.358 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
4.358 * [backup-simplify]: Simplify (pow (+ (* x x) (* y y)) 3) into (pow (+ (pow y 2) (pow x 2)) 3)
4.358 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in (x y) around 0
4.358 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in y
4.358 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.358 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.358 * [taylor]: Taking taylor expansion of y in y
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 1 into 1
4.358 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.358 * [taylor]: Taking taylor expansion of x in y
4.358 * [backup-simplify]: Simplify x into x
4.358 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.359 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.359 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in x
4.359 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.359 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.359 * [taylor]: Taking taylor expansion of y in x
4.359 * [backup-simplify]: Simplify y into y
4.359 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.359 * [taylor]: Taking taylor expansion of x in x
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify 1 into 1
4.359 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.359 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.359 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in x
4.359 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.359 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.359 * [taylor]: Taking taylor expansion of y in x
4.359 * [backup-simplify]: Simplify y into y
4.359 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.359 * [taylor]: Taking taylor expansion of x in x
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify 1 into 1
4.359 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.359 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.359 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
4.359 * [backup-simplify]: Simplify (* (pow y 2) (pow y 4)) into (pow y 6)
4.359 * [taylor]: Taking taylor expansion of (pow y 6) in y
4.359 * [taylor]: Taking taylor expansion of y in y
4.360 * [backup-simplify]: Simplify 0 into 0
4.360 * [backup-simplify]: Simplify 1 into 1
4.360 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.360 * [backup-simplify]: Simplify (+ 0 0) into 0
4.360 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0
4.360 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 4))) into 0
4.360 * [taylor]: Taking taylor expansion of 0 in y
4.360 * [backup-simplify]: Simplify 0 into 0
4.360 * [backup-simplify]: Simplify 0 into 0
4.361 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.361 * [backup-simplify]: Simplify (* 1 1) into 1
4.361 * [backup-simplify]: Simplify (+ 0 1) into 1
4.362 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* 0 0) (* 1 (pow y 2)))) into (* 2 (pow y 2))
4.363 * [backup-simplify]: Simplify (+ (* (pow y 2) (* 2 (pow y 2))) (+ (* 0 0) (* 1 (pow y 4)))) into (* 3 (pow y 4))
4.363 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in y
4.363 * [taylor]: Taking taylor expansion of 3 in y
4.363 * [backup-simplify]: Simplify 3 into 3
4.363 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.363 * [taylor]: Taking taylor expansion of y in y
4.363 * [backup-simplify]: Simplify 0 into 0
4.363 * [backup-simplify]: Simplify 1 into 1
4.363 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.364 * [backup-simplify]: Simplify (+ 0 0) into 0
4.365 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow y 2))))) into 0
4.366 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 (* 2 (pow y 2))) (+ (* 1 0) (* 0 (pow y 4))))) into 0
4.366 * [taylor]: Taking taylor expansion of 0 in y
4.366 * [backup-simplify]: Simplify 0 into 0
4.366 * [backup-simplify]: Simplify 0 into 0
4.366 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.367 * [backup-simplify]: Simplify (+ 0 0) into 0
4.368 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow y 2)))))) into 1
4.369 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* 0 0) (+ (* 1 (* 2 (pow y 2))) (+ (* 0 0) (* 0 (pow y 4)))))) into (* 3 (pow y 2))
4.369 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y
4.369 * [taylor]: Taking taylor expansion of 3 in y
4.369 * [backup-simplify]: Simplify 3 into 3
4.369 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.369 * [taylor]: Taking taylor expansion of y in y
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 1 into 1
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify (pow (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) 3) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3)
4.370 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in (x y) around 0
4.370 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in y
4.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.370 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.370 * [taylor]: Taking taylor expansion of y in y
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 1 into 1
4.370 * [backup-simplify]: Simplify (* 1 1) into 1
4.370 * [backup-simplify]: Simplify (/ 1 1) into 1
4.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.370 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.370 * [taylor]: Taking taylor expansion of x in y
4.370 * [backup-simplify]: Simplify x into x
4.371 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.371 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.371 * [backup-simplify]: Simplify (+ 1 0) into 1
4.371 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x
4.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.371 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.371 * [taylor]: Taking taylor expansion of y in x
4.371 * [backup-simplify]: Simplify y into y
4.371 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.371 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.371 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.371 * [taylor]: Taking taylor expansion of x in x
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 1 into 1
4.372 * [backup-simplify]: Simplify (* 1 1) into 1
4.372 * [backup-simplify]: Simplify (/ 1 1) into 1
4.372 * [backup-simplify]: Simplify (+ 0 1) into 1
4.372 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x
4.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.372 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.372 * [taylor]: Taking taylor expansion of y in x
4.372 * [backup-simplify]: Simplify y into y
4.372 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.373 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.373 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.373 * [taylor]: Taking taylor expansion of x in x
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 1 into 1
4.374 * [backup-simplify]: Simplify (* 1 1) into 1
4.374 * [backup-simplify]: Simplify (/ 1 1) into 1
4.374 * [backup-simplify]: Simplify (+ 0 1) into 1
4.375 * [backup-simplify]: Simplify (* 1 1) into 1
4.375 * [backup-simplify]: Simplify (* 1 1) into 1
4.375 * [taylor]: Taking taylor expansion of 1 in y
4.375 * [backup-simplify]: Simplify 1 into 1
4.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.378 * [backup-simplify]: Simplify (+ 0 0) into 0
4.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.379 * [taylor]: Taking taylor expansion of 0 in y
4.379 * [backup-simplify]: Simplify 0 into 0
4.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.381 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.382 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2)))
4.383 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2)))
4.383 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
4.383 * [taylor]: Taking taylor expansion of 3 in y
4.384 * [backup-simplify]: Simplify 3 into 3
4.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.384 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.384 * [taylor]: Taking taylor expansion of y in y
4.384 * [backup-simplify]: Simplify 0 into 0
4.384 * [backup-simplify]: Simplify 1 into 1
4.384 * [backup-simplify]: Simplify (* 1 1) into 1
4.385 * [backup-simplify]: Simplify (/ 1 1) into 1
4.385 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.388 * [backup-simplify]: Simplify (+ 0 0) into 0
4.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0
4.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0
4.391 * [taylor]: Taking taylor expansion of 0 in y
4.391 * [backup-simplify]: Simplify 0 into 0
4.391 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.395 * [backup-simplify]: Simplify (+ 0 0) into 0
4.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4))
4.399 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow y 4)))
4.399 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y
4.399 * [taylor]: Taking taylor expansion of 3 in y
4.399 * [backup-simplify]: Simplify 3 into 3
4.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
4.399 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.399 * [taylor]: Taking taylor expansion of y in y
4.399 * [backup-simplify]: Simplify 0 into 0
4.399 * [backup-simplify]: Simplify 1 into 1
4.400 * [backup-simplify]: Simplify (* 1 1) into 1
4.400 * [backup-simplify]: Simplify (* 1 1) into 1
4.401 * [backup-simplify]: Simplify (/ 1 1) into 1
4.402 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.406 * [backup-simplify]: Simplify (+ 0 0) into 0
4.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))))) into 0
4.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 4))) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))))) into 0
4.410 * [taylor]: Taking taylor expansion of 0 in y
4.410 * [backup-simplify]: Simplify 0 into 0
4.411 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.416 * [backup-simplify]: Simplify (+ 0 0) into 0
4.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))))) into 0
4.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 4))) (+ (* 0 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))))) into (/ 1 (pow y 6))
4.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y
4.421 * [taylor]: Taking taylor expansion of (pow y 6) in y
4.421 * [taylor]: Taking taylor expansion of y in y
4.421 * [backup-simplify]: Simplify 0 into 0
4.421 * [backup-simplify]: Simplify 1 into 1
4.422 * [backup-simplify]: Simplify (* 1 1) into 1
4.422 * [backup-simplify]: Simplify (* 1 1) into 1
4.422 * [backup-simplify]: Simplify (* 1 1) into 1
4.423 * [backup-simplify]: Simplify (/ 1 1) into 1
4.423 * [backup-simplify]: Simplify 1 into 1
4.423 * [backup-simplify]: Simplify (* 3 1) into 3
4.423 * [backup-simplify]: Simplify 3 into 3
4.424 * [backup-simplify]: Simplify (* 3 1) into 3
4.424 * [backup-simplify]: Simplify 3 into 3
4.425 * [backup-simplify]: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2)) 2)) (+ (* 3 (pow (* (pow (/ 1 y) -2) (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 6)))) into (+ (* 3 (* (pow x 2) (pow y 4))) (+ (pow y 6) (* 3 (* (pow x 4) (pow y 2)))))
4.426 * [backup-simplify]: Simplify (pow (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) 3) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3)
4.426 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in (x y) around 0
4.426 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in y
4.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.426 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.426 * [taylor]: Taking taylor expansion of y in y
4.426 * [backup-simplify]: Simplify 0 into 0
4.426 * [backup-simplify]: Simplify 1 into 1
4.427 * [backup-simplify]: Simplify (* 1 1) into 1
4.427 * [backup-simplify]: Simplify (/ 1 1) into 1
4.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.427 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.427 * [taylor]: Taking taylor expansion of x in y
4.427 * [backup-simplify]: Simplify x into x
4.427 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.428 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.428 * [backup-simplify]: Simplify (+ 1 0) into 1
4.428 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x
4.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.428 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.428 * [taylor]: Taking taylor expansion of y in x
4.429 * [backup-simplify]: Simplify y into y
4.429 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.429 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.429 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.429 * [taylor]: Taking taylor expansion of x in x
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify 1 into 1
4.429 * [backup-simplify]: Simplify (* 1 1) into 1
4.430 * [backup-simplify]: Simplify (/ 1 1) into 1
4.430 * [backup-simplify]: Simplify (+ 0 1) into 1
4.430 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x
4.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.431 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.431 * [taylor]: Taking taylor expansion of y in x
4.431 * [backup-simplify]: Simplify y into y
4.431 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.431 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.431 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.431 * [taylor]: Taking taylor expansion of x in x
4.431 * [backup-simplify]: Simplify 0 into 0
4.431 * [backup-simplify]: Simplify 1 into 1
4.431 * [backup-simplify]: Simplify (* 1 1) into 1
4.432 * [backup-simplify]: Simplify (/ 1 1) into 1
4.432 * [backup-simplify]: Simplify (+ 0 1) into 1
4.433 * [backup-simplify]: Simplify (* 1 1) into 1
4.434 * [backup-simplify]: Simplify (* 1 1) into 1
4.434 * [taylor]: Taking taylor expansion of 1 in y
4.434 * [backup-simplify]: Simplify 1 into 1
4.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.436 * [backup-simplify]: Simplify (+ 0 0) into 0
4.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.437 * [taylor]: Taking taylor expansion of 0 in y
4.438 * [backup-simplify]: Simplify 0 into 0
4.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.440 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.441 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2)))
4.442 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2)))
4.442 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
4.442 * [taylor]: Taking taylor expansion of 3 in y
4.442 * [backup-simplify]: Simplify 3 into 3
4.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.442 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.442 * [taylor]: Taking taylor expansion of y in y
4.442 * [backup-simplify]: Simplify 0 into 0
4.442 * [backup-simplify]: Simplify 1 into 1
4.443 * [backup-simplify]: Simplify (* 1 1) into 1
4.443 * [backup-simplify]: Simplify (/ 1 1) into 1
4.444 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.446 * [backup-simplify]: Simplify (+ 0 0) into 0
4.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0
4.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0
4.449 * [taylor]: Taking taylor expansion of 0 in y
4.449 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.453 * [backup-simplify]: Simplify (+ 0 0) into 0
4.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4))
4.458 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow y 4)))
4.458 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y
4.458 * [taylor]: Taking taylor expansion of 3 in y
4.458 * [backup-simplify]: Simplify 3 into 3
4.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
4.458 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.458 * [taylor]: Taking taylor expansion of y in y
4.458 * [backup-simplify]: Simplify 0 into 0
4.458 * [backup-simplify]: Simplify 1 into 1
4.458 * [backup-simplify]: Simplify (* 1 1) into 1
4.459 * [backup-simplify]: Simplify (* 1 1) into 1
4.459 * [backup-simplify]: Simplify (/ 1 1) into 1
4.460 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.464 * [backup-simplify]: Simplify (+ 0 0) into 0
4.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))))) into 0
4.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 4))) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))))) into 0
4.468 * [taylor]: Taking taylor expansion of 0 in y
4.468 * [backup-simplify]: Simplify 0 into 0
4.469 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.472 * [backup-simplify]: Simplify (+ 0 0) into 0
4.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))))) into 0
4.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 4))) (+ (* 0 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))))) into (/ 1 (pow y 6))
4.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y
4.475 * [taylor]: Taking taylor expansion of (pow y 6) in y
4.475 * [taylor]: Taking taylor expansion of y in y
4.475 * [backup-simplify]: Simplify 0 into 0
4.475 * [backup-simplify]: Simplify 1 into 1
4.475 * [backup-simplify]: Simplify (* 1 1) into 1
4.476 * [backup-simplify]: Simplify (* 1 1) into 1
4.476 * [backup-simplify]: Simplify (* 1 1) into 1
4.476 * [backup-simplify]: Simplify (/ 1 1) into 1
4.476 * [backup-simplify]: Simplify 1 into 1
4.477 * [backup-simplify]: Simplify (* 3 1) into 3
4.477 * [backup-simplify]: Simplify 3 into 3
4.477 * [backup-simplify]: Simplify (* 3 1) into 3
4.477 * [backup-simplify]: Simplify 3 into 3
4.478 * [backup-simplify]: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2)) 2)) (+ (* 3 (pow (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 6)))) into (+ (* 3 (* (pow x 2) (pow y 4))) (+ (pow y 6) (* 3 (* (pow x 4) (pow y 2)))))
4.478 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
4.478 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
4.478 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
4.478 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.478 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.478 * [taylor]: Taking taylor expansion of y in y
4.478 * [backup-simplify]: Simplify 0 into 0
4.478 * [backup-simplify]: Simplify 1 into 1
4.478 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.478 * [taylor]: Taking taylor expansion of x in y
4.478 * [backup-simplify]: Simplify x into x
4.478 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.478 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.478 * [taylor]: Taking taylor expansion of y in x
4.478 * [backup-simplify]: Simplify y into y
4.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.478 * [taylor]: Taking taylor expansion of x in x
4.478 * [backup-simplify]: Simplify 0 into 0
4.478 * [backup-simplify]: Simplify 1 into 1
4.478 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.478 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.478 * [taylor]: Taking taylor expansion of y in x
4.478 * [backup-simplify]: Simplify y into y
4.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.478 * [taylor]: Taking taylor expansion of x in x
4.478 * [backup-simplify]: Simplify 0 into 0
4.478 * [backup-simplify]: Simplify 1 into 1
4.478 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.479 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.479 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.479 * [taylor]: Taking taylor expansion of y in y
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 1 into 1
4.479 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.479 * [backup-simplify]: Simplify (+ 0 0) into 0
4.479 * [taylor]: Taking taylor expansion of 0 in y
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.480 * [backup-simplify]: Simplify (* 1 1) into 1
4.480 * [backup-simplify]: Simplify (+ 0 1) into 1
4.480 * [taylor]: Taking taylor expansion of 1 in y
4.480 * [backup-simplify]: Simplify 1 into 1
4.480 * [backup-simplify]: Simplify 1 into 1
4.480 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify (* 1 1) into 1
4.481 * [backup-simplify]: Simplify 1 into 1
4.481 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.482 * [backup-simplify]: Simplify (+ 0 0) into 0
4.482 * [taylor]: Taking taylor expansion of 0 in y
4.482 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.482 * [backup-simplify]: Simplify 0 into 0
4.483 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.484 * [backup-simplify]: Simplify (+ 0 0) into 0
4.484 * [taylor]: Taking taylor expansion of 0 in y
4.484 * [backup-simplify]: Simplify 0 into 0
4.484 * [backup-simplify]: Simplify 0 into 0
4.484 * [backup-simplify]: Simplify 0 into 0
4.484 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
4.485 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.485 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.485 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.485 * [taylor]: Taking taylor expansion of y in y
4.485 * [backup-simplify]: Simplify 0 into 0
4.485 * [backup-simplify]: Simplify 1 into 1
4.485 * [backup-simplify]: Simplify (* 1 1) into 1
4.485 * [backup-simplify]: Simplify (/ 1 1) into 1
4.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.485 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.485 * [taylor]: Taking taylor expansion of x in y
4.485 * [backup-simplify]: Simplify x into x
4.485 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.486 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.486 * [taylor]: Taking taylor expansion of y in x
4.486 * [backup-simplify]: Simplify y into y
4.486 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.486 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.486 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.486 * [taylor]: Taking taylor expansion of x in x
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify 1 into 1
4.486 * [backup-simplify]: Simplify (* 1 1) into 1
4.486 * [backup-simplify]: Simplify (/ 1 1) into 1
4.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.486 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.486 * [taylor]: Taking taylor expansion of y in x
4.487 * [backup-simplify]: Simplify y into y
4.487 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.487 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.487 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.487 * [taylor]: Taking taylor expansion of x in x
4.487 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify 1 into 1
4.487 * [backup-simplify]: Simplify (* 1 1) into 1
4.487 * [backup-simplify]: Simplify (/ 1 1) into 1
4.488 * [backup-simplify]: Simplify (+ 0 1) into 1
4.488 * [taylor]: Taking taylor expansion of 1 in y
4.488 * [backup-simplify]: Simplify 1 into 1
4.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.489 * [backup-simplify]: Simplify (+ 0 0) into 0
4.489 * [taylor]: Taking taylor expansion of 0 in y
4.489 * [backup-simplify]: Simplify 0 into 0
4.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.490 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.490 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.490 * [taylor]: Taking taylor expansion of y in y
4.490 * [backup-simplify]: Simplify 0 into 0
4.490 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify (* 1 1) into 1
4.491 * [backup-simplify]: Simplify (/ 1 1) into 1
4.491 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.493 * [backup-simplify]: Simplify (+ 0 0) into 0
4.493 * [taylor]: Taking taylor expansion of 0 in y
4.493 * [backup-simplify]: Simplify 0 into 0
4.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.496 * [backup-simplify]: Simplify (+ 0 0) into 0
4.496 * [taylor]: Taking taylor expansion of 0 in y
4.496 * [backup-simplify]: Simplify 0 into 0
4.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.502 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
4.503 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.503 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.503 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.503 * [taylor]: Taking taylor expansion of y in y
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 1 into 1
4.504 * [backup-simplify]: Simplify (* 1 1) into 1
4.504 * [backup-simplify]: Simplify (/ 1 1) into 1
4.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.504 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.504 * [taylor]: Taking taylor expansion of x in y
4.504 * [backup-simplify]: Simplify x into x
4.505 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.505 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.505 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.505 * [taylor]: Taking taylor expansion of y in x
4.505 * [backup-simplify]: Simplify y into y
4.505 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.505 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.505 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.505 * [taylor]: Taking taylor expansion of x in x
4.505 * [backup-simplify]: Simplify 0 into 0
4.505 * [backup-simplify]: Simplify 1 into 1
4.506 * [backup-simplify]: Simplify (* 1 1) into 1
4.506 * [backup-simplify]: Simplify (/ 1 1) into 1
4.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.506 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.506 * [taylor]: Taking taylor expansion of y in x
4.506 * [backup-simplify]: Simplify y into y
4.506 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.507 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.507 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.507 * [taylor]: Taking taylor expansion of x in x
4.507 * [backup-simplify]: Simplify 0 into 0
4.507 * [backup-simplify]: Simplify 1 into 1
4.507 * [backup-simplify]: Simplify (* 1 1) into 1
4.508 * [backup-simplify]: Simplify (/ 1 1) into 1
4.508 * [backup-simplify]: Simplify (+ 0 1) into 1
4.508 * [taylor]: Taking taylor expansion of 1 in y
4.508 * [backup-simplify]: Simplify 1 into 1
4.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.510 * [backup-simplify]: Simplify (+ 0 0) into 0
4.510 * [taylor]: Taking taylor expansion of 0 in y
4.510 * [backup-simplify]: Simplify 0 into 0
4.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.512 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.513 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.513 * [taylor]: Taking taylor expansion of y in y
4.513 * [backup-simplify]: Simplify 0 into 0
4.513 * [backup-simplify]: Simplify 1 into 1
4.513 * [backup-simplify]: Simplify (* 1 1) into 1
4.514 * [backup-simplify]: Simplify (/ 1 1) into 1
4.514 * [backup-simplify]: Simplify 1 into 1
4.514 * [backup-simplify]: Simplify 1 into 1
4.514 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.517 * [backup-simplify]: Simplify (+ 0 0) into 0
4.517 * [taylor]: Taking taylor expansion of 0 in y
4.517 * [backup-simplify]: Simplify 0 into 0
4.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.518 * [backup-simplify]: Simplify 0 into 0
4.519 * [backup-simplify]: Simplify 0 into 0
4.519 * [backup-simplify]: Simplify 0 into 0
4.519 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.523 * [backup-simplify]: Simplify (+ 0 0) into 0
4.523 * [taylor]: Taking taylor expansion of 0 in y
4.523 * [backup-simplify]: Simplify 0 into 0
4.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.525 * [backup-simplify]: Simplify 0 into 0
4.525 * [backup-simplify]: Simplify 0 into 0
4.525 * [backup-simplify]: Simplify 0 into 0
4.526 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
4.526 * * * [progress]: simplifying candidates
4.528 * [simplify]: Simplifying:
  (log (cbrt (pow (+ (* x x) (* y y)) 3)))
  (exp (cbrt (pow (+ (* x x) (* y y)) 3)))
  (cbrt (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3))
  (cbrt (pow (cbrt (+ (* x x) (* y y))) 3))
  (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))
  (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))
  (cbrt (pow 1 3))
  (cbrt (pow (+ (* x x) (* y y)) 3))
  (cbrt (* (+ (* x x) (* y y)) (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (cbrt (* (cbrt (pow (+ (* x x) (* y y)) 3)) (cbrt (pow (+ (* x x) (* y y)) 3))))
  (cbrt (cbrt (pow (+ (* x x) (* y y)) 3)))
  (cbrt (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3))
  (cbrt (pow (cbrt (+ (* x x) (* y y))) 3))
  (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))
  (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))
  (cbrt (pow 1 3))
  (cbrt (pow (+ (* x x) (* y y)) 3))
  (cbrt (+ (* x x) (* y y)))
  (cbrt (* (+ (* x x) (* y y)) (+ (* x x) (* y y))))
  (cbrt (sqrt (pow (+ (* x x) (* y y)) 3)))
  (cbrt (sqrt (pow (+ (* x x) (* y y)) 3)))
  (cbrt 1)
  (cbrt (pow (+ (* x x) (* y y)) 3))
  (cbrt (pow (+ (* x x) (* y y)) (/ 3 2)))
  (cbrt (pow (+ (* x x) (* y y)) (/ 3 2)))
  (cbrt (pow (+ (pow (* x x) 3) (pow (* y y) 3)) 3))
  (cbrt (pow (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) 3))
  (cbrt (pow (- (* (* x x) (* x x)) (* (* y y) (* y y))) 3))
  (cbrt (pow (- (* x x) (* y y)) 3))
  (* (cbrt (cbrt (pow (+ (* x x) (* y y)) 3))) (cbrt (cbrt (pow (+ (* x x) (* y y)) 3))))
  (cbrt (cbrt (pow (+ (* x x) (* y y)) 3)))
  (* (* (cbrt (pow (+ (* x x) (* y y)) 3)) (cbrt (pow (+ (* x x) (* y y)) 3))) (cbrt (pow (+ (* x x) (* y y)) 3)))
  (sqrt (cbrt (pow (+ (* x x) (* y y)) 3)))
  (sqrt (cbrt (pow (+ (* x x) (* y y)) 3)))
  (* (log (+ (* x x) (* y y))) 3)
  (* (log (+ (* x x) (* y y))) 3)
  (* 1 3)
  (pow (+ (* x x) (* y y)) (* (cbrt 3) (cbrt 3)))
  (pow (+ (* x x) (* y y)) (sqrt 3))
  (pow (+ (* x x) (* y y)) 1)
  (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3)
  (pow (cbrt (+ (* x x) (* y y))) 3)
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (pow 1 3)
  (pow (+ (* x x) (* y y)) 3)
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (log (pow (+ (* x x) (* y y)) 3))
  (exp (pow (+ (* x x) (* y y)) 3))
  (* (cbrt (pow (+ (* x x) (* y y)) 3)) (cbrt (pow (+ (* x x) (* y y)) 3)))
  (cbrt (pow (+ (* x x) (* y y)) 3))
  (* (* (pow (+ (* x x) (* y y)) 3) (pow (+ (* x x) (* y y)) 3)) (pow (+ (* x x) (* y y)) 3))
  (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3)
  (pow (cbrt (+ (* x x) (* y y))) 3)
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (pow 1 3)
  (pow (+ (* x x) (* y y)) 3)
  (pow (+ (pow (* x x) 3) (pow (* y y) 3)) 3)
  (pow (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) 3)
  (pow (- (* (* x x) (* x x)) (* (* y y) (* y y))) 3)
  (pow (- (* x x) (* y y)) 3)
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (sqrt (pow (+ (* x x) (* y y)) 3))
  (sqrt (pow (+ (* x x) (* y y)) 3))
  (pow (+ (* x x) (* y y)) (/ 3 2))
  (pow (+ (* x x) (* y y)) (/ 3 2))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  0
  (+ (* 3 (* (pow x 2) (pow y 4))) (+ (pow y 6) (* 3 (* (pow x 4) (pow y 2)))))
  (+ (* 3 (* (pow x 2) (pow y 4))) (+ (pow y 6) (* 3 (* (pow x 4) (pow y 2)))))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
4.530 * * [simplify]: iteration 0: 88 enodes
4.565 * * [simplify]: iteration 1: 302 enodes
4.879 * * [simplify]: iteration 2: 2198 enodes
6.250 * * [simplify]: iteration complete: 5000 enodes
6.250 * * [simplify]: Extracting #0: cost 30 inf + 0
6.252 * * [simplify]: Extracting #1: cost 505 inf + 3
6.259 * * [simplify]: Extracting #2: cost 1618 inf + 85
6.270 * * [simplify]: Extracting #3: cost 1738 inf + 1052
6.283 * * [simplify]: Extracting #4: cost 1104 inf + 5754
6.295 * * [simplify]: Extracting #5: cost 325 inf + 18110
6.307 * * [simplify]: Extracting #6: cost 32 inf + 24204
6.319 * * [simplify]: Extracting #7: cost 0 inf + 24884
6.336 * [simplify]: Simplified to:
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (cbrt (pow (+ (* x x) (* y y)) 2))
  (cbrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  (+ (* x x) (* y y))
  (cbrt (pow (+ (* x x) (* y y)) 2))
  (cbrt (+ (* x x) (* y y)))
  (cbrt (pow (+ (* x x) (* y y)) 2))
  (cbrt (+ (* x x) (* y y)))
  (cbrt (pow (+ (* x x) (* y y)) 2))
  (cbrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  (+ (* x x) (* y y))
  (cbrt (+ (* x x) (* y y)))
  (cbrt (pow (+ (* x x) (* y y)) 2))
  (cbrt (fabs (pow (+ (* x x) (* y y)) 3/2)))
  (cbrt (fabs (pow (+ (* x x) (* y y)) 3/2)))
  1
  (+ (* x x) (* y y))
  (cbrt (pow (+ (* x x) (* y y)) 3/2))
  (cbrt (pow (+ (* x x) (* y y)) 3/2))
  (+ (pow y 6) (pow x 6))
  (+ (pow x 4) (- (pow y 4) (* (* y x) (* y x))))
  (- (pow x 4) (pow y 4))
  (* (+ x y) (- x y))
  (cbrt (pow (+ (* x x) (* y y)) 2))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (* (log (+ (* x x) (* y y))) 3)
  (* (log (+ (* x x) (* y y))) 3)
  3
  (pow (+ (* x x) (* y y)) (* (cbrt 3) (cbrt 3)))
  (pow (+ (* x x) (* y y)) (sqrt 3))
  (+ (* x x) (* y y))
  (pow (+ (* x x) (* y y)) 2)
  (+ (* x x) (* y y))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (pow (sqrt (+ (* x x) (* y y))) 3)
  1
  (pow (+ (* x x) (* y y)) 3)
  (pow (+ (* x x) (* y y)) 2)
  (* (log (+ (* x x) (* y y))) 3)
  (exp (pow (+ (* x x) (* y y)) 3))
  (pow (+ (* x x) (* y y)) 2)
  (+ (* x x) (* y y))
  (pow (pow (+ (* x x) (* y y)) 3) 3)
  (pow (+ (* x x) (* y y)) 2)
  (+ (* x x) (* y y))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (pow (sqrt (+ (* x x) (* y y))) 3)
  1
  (pow (+ (* x x) (* y y)) 3)
  (pow (+ (pow y 6) (pow x 6)) 3)
  (pow (+ (pow x 4) (- (pow y 4) (* (* y x) (* y x)))) 3)
  (pow (- (pow x 4) (pow y 4)) 3)
  (pow (* (+ x y) (- x y)) 3)
  (pow (+ (* x x) (* y y)) 2)
  (fabs (pow (+ (* x x) (* y y)) 3/2))
  (fabs (pow (+ (* x x) (* y y)) 3/2))
  (pow (+ (* x x) (* y y)) 3/2)
  (pow (+ (* x x) (* y y)) 3/2)
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (cbrt (pow (+ (* x x) (* y y)) 2))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (pow x 4) (- (pow y 4) (* (* y x) (* y x))))
  (- (pow x 4) (pow y 4))
  (* (+ x y) (- x y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  0
  (+ (+ (* (pow y 4) (* 3 (* x x))) (pow y 6)) (* (* 3 (pow x 4)) (* y y)))
  (+ (+ (* (pow y 4) (* 3 (* x x))) (pow y 6)) (* (* 3 (pow x 4)) (* y y)))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
6.337 * * * [progress]: adding candidates to table
6.623 * [progress]: [Phase 3 of 3] Extracting.
6.624 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (cbrt (pow (+ (* x x) (* y y)) 3)))>)
6.624 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x)
6.624 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (cbrt (pow (+ (* x x) (* y y)) 3)))>)
6.675 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (cbrt (pow (+ (* x x) (* y y)) 3)))>)
6.707 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (cbrt (pow (+ (* x x) (* y y)) 3)))>)
6.742 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (cbrt (pow (+ (* x x) (* y y)) 3)))>)
6.775 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (cbrt (pow (+ (* x x) (* y y)) 3)))>)
6.805 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
6.805 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
6.805 * * [simplify]: iteration 0: 5 enodes
6.805 * * [simplify]: iteration 1: 6 enodes
6.805 * * [simplify]: iteration complete: 6 enodes
6.805 * * [simplify]: Extracting #0: cost 1 inf + 0
6.805 * * [simplify]: Extracting #1: cost 3 inf + 0
6.806 * * [simplify]: Extracting #2: cost 5 inf + 0
6.806 * * [simplify]: Extracting #3: cost 2 inf + 5
6.806 * * [simplify]: Extracting #4: cost 0 inf + 15
6.806 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
8.753 * [regime-testing]: Baseline error score: 0.005750718839854982
8.757 * [regime-testing]: Oracle error score: 0.005500687585948244
8.766 * [regime-testing]: End program error score: 0.005750718839854982