1.673 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.028 * * * [progress]: [2/2] Setting up program.
0.033 * [progress]: [Phase 2 of 3] Improving.
0.034 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.034 * * [simplify]: iteration 0: 5 enodes
0.035 * * [simplify]: iteration 1: 6 enodes
0.037 * * [simplify]: iteration complete: 6 enodes
0.037 * * [simplify]: Extracting #0: cost 1 inf + 0
0.037 * * [simplify]: Extracting #1: cost 3 inf + 0
0.037 * * [simplify]: Extracting #2: cost 5 inf + 0
0.037 * * [simplify]: Extracting #3: cost 2 inf + 5
0.037 * * [simplify]: Extracting #4: cost 0 inf + 15
0.037 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
0.038 * * [progress]: iteration 1 / 4
0.038 * * * [progress]: picking best candidate
0.042 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.042 * * * [progress]: localizing error
0.056 * * * [progress]: generating rewritten candidates
0.056 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.068 * * * [progress]: generating series expansions
0.068 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.069 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.069 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.069 * [taylor]: Taking taylor expansion of y in y
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.069 * [taylor]: Taking taylor expansion of x in y
0.069 * [backup-simplify]: Simplify x into x
0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.069 * [taylor]: Taking taylor expansion of y in x
0.069 * [backup-simplify]: Simplify y into y
0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.069 * [taylor]: Taking taylor expansion of x in x
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.069 * [taylor]: Taking taylor expansion of y in x
0.069 * [backup-simplify]: Simplify y into y
0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.069 * [taylor]: Taking taylor expansion of x in x
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.070 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.070 * [taylor]: Taking taylor expansion of y in y
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [taylor]: Taking taylor expansion of 0 in y
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.072 * [backup-simplify]: Simplify (* 1 1) into 1
0.072 * [backup-simplify]: Simplify (+ 0 1) into 1
0.072 * [taylor]: Taking taylor expansion of 1 in y
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (* 1 1) into 1
0.072 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [taylor]: Taking taylor expansion of 0 in y
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.080 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 1 into 1
0.081 * [backup-simplify]: Simplify (* 1 1) into 1
0.081 * [backup-simplify]: Simplify (/ 1 1) into 1
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.081 * [taylor]: Taking taylor expansion of x in y
0.081 * [backup-simplify]: Simplify x into x
0.081 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.082 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.082 * [taylor]: Taking taylor expansion of y in x
0.082 * [backup-simplify]: Simplify y into y
0.082 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.082 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.082 * [taylor]: Taking taylor expansion of x in x
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (* 1 1) into 1
0.084 * [backup-simplify]: Simplify (/ 1 1) into 1
0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.084 * [taylor]: Taking taylor expansion of y in x
0.084 * [backup-simplify]: Simplify y into y
0.084 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.084 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.084 * [taylor]: Taking taylor expansion of x in x
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (* 1 1) into 1
0.085 * [backup-simplify]: Simplify (/ 1 1) into 1
0.086 * [backup-simplify]: Simplify (+ 0 1) into 1
0.086 * [taylor]: Taking taylor expansion of 1 in y
0.086 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.092 * [taylor]: Taking taylor expansion of y in y
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 1 into 1
0.092 * [backup-simplify]: Simplify (* 1 1) into 1
0.093 * [backup-simplify]: Simplify (/ 1 1) into 1
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [taylor]: Taking taylor expansion of 0 in y
0.097 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.104 * [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
0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.108 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.108 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.108 * [taylor]: Taking taylor expansion of y in y
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.109 * [taylor]: Taking taylor expansion of x in y
0.109 * [backup-simplify]: Simplify x into x
0.109 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.109 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.109 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.109 * [taylor]: Taking taylor expansion of y in x
0.110 * [backup-simplify]: Simplify y into y
0.110 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.110 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.110 * [taylor]: Taking taylor expansion of x in x
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify (* 1 1) into 1
0.111 * [backup-simplify]: Simplify (/ 1 1) into 1
0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.111 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.111 * [taylor]: Taking taylor expansion of y in x
0.111 * [backup-simplify]: Simplify y into y
0.111 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.111 * [taylor]: Taking taylor expansion of x in x
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (* 1 1) into 1
0.112 * [backup-simplify]: Simplify (/ 1 1) into 1
0.113 * [backup-simplify]: Simplify (+ 0 1) into 1
0.113 * [taylor]: Taking taylor expansion of 1 in y
0.113 * [backup-simplify]: Simplify 1 into 1
0.114 * [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 0) into 0
0.115 * [taylor]: Taking taylor expansion of 0 in y
0.115 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.118 * [taylor]: Taking taylor expansion of y in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (* 1 1) into 1
0.118 * [backup-simplify]: Simplify (/ 1 1) into 1
0.118 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [taylor]: Taking taylor expansion of 0 in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [taylor]: Taking taylor expansion of 0 in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.130 * * * [progress]: simplifying candidates
0.130 * [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))
0.131 * * [simplify]: iteration 0: 30 enodes
0.139 * * [simplify]: iteration 1: 115 enodes
0.208 * * [simplify]: iteration 2: 639 enodes
1.855 * * [simplify]: iteration 3: 4731 enodes
4.099 * * [simplify]: iteration complete: 5000 enodes
4.099 * * [simplify]: Extracting #0: cost 11 inf + 0
4.099 * * [simplify]: Extracting #1: cost 171 inf + 0
4.106 * * [simplify]: Extracting #2: cost 1399 inf + 1
4.119 * * [simplify]: Extracting #3: cost 1519 inf + 1606
4.132 * * [simplify]: Extracting #4: cost 669 inf + 5758
4.145 * * [simplify]: Extracting #5: cost 116 inf + 10137
4.157 * * [simplify]: Extracting #6: cost 7 inf + 11206
4.170 * * [simplify]: Extracting #7: cost 0 inf + 11269
4.183 * [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))
4.183 * * * [progress]: adding candidates to table
4.222 * * [progress]: iteration 2 / 4
4.222 * * * [progress]: picking best candidate
4.224 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
4.224 * * * [progress]: localizing error
4.237 * * * [progress]: generating rewritten candidates
4.237 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.249 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
4.261 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
4.278 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
4.293 * * * [progress]: generating series expansions
4.293 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.293 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
4.294 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
4.294 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
4.294 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.294 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.294 * [taylor]: Taking taylor expansion of y in y
4.294 * [backup-simplify]: Simplify 0 into 0
4.294 * [backup-simplify]: Simplify 1 into 1
4.294 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.294 * [taylor]: Taking taylor expansion of x in y
4.294 * [backup-simplify]: Simplify x into x
4.294 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.294 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.294 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.294 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.295 * [backup-simplify]: Simplify (+ 0 0) into 0
4.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.295 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
4.296 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.296 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.296 * [taylor]: Taking taylor expansion of y in x
4.296 * [backup-simplify]: Simplify y into y
4.296 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.296 * [taylor]: Taking taylor expansion of x in x
4.296 * [backup-simplify]: Simplify 0 into 0
4.296 * [backup-simplify]: Simplify 1 into 1
4.296 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.296 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.296 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.296 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.297 * [backup-simplify]: Simplify (+ 0 0) into 0
4.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.297 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
4.297 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.297 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.297 * [taylor]: Taking taylor expansion of y in x
4.297 * [backup-simplify]: Simplify y into y
4.297 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.297 * [taylor]: Taking taylor expansion of x in x
4.297 * [backup-simplify]: Simplify 0 into 0
4.297 * [backup-simplify]: Simplify 1 into 1
4.297 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.298 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.298 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.298 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.298 * [backup-simplify]: Simplify (+ 0 0) into 0
4.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.299 * [taylor]: Taking taylor expansion of y in y
4.299 * [backup-simplify]: Simplify 0 into 0
4.299 * [backup-simplify]: Simplify 1 into 1
4.299 * [backup-simplify]: Simplify 0 into 0
4.299 * [taylor]: Taking taylor expansion of 0 in y
4.299 * [backup-simplify]: Simplify 0 into 0
4.299 * [backup-simplify]: Simplify 0 into 0
4.299 * [backup-simplify]: Simplify 1 into 1
4.300 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.300 * [backup-simplify]: Simplify (* 1 1) into 1
4.301 * [backup-simplify]: Simplify (+ 0 1) into 1
4.302 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.302 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.302 * [taylor]: Taking taylor expansion of 1/2 in y
4.302 * [backup-simplify]: Simplify 1/2 into 1/2
4.302 * [taylor]: Taking taylor expansion of y in y
4.302 * [backup-simplify]: Simplify 0 into 0
4.302 * [backup-simplify]: Simplify 1 into 1
4.302 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.304 * [backup-simplify]: Simplify 0 into 0
4.304 * [backup-simplify]: Simplify 0 into 0
4.304 * [backup-simplify]: Simplify 0 into 0
4.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.306 * [backup-simplify]: Simplify (+ 0 0) into 0
4.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
4.306 * [taylor]: Taking taylor expansion of 0 in y
4.306 * [backup-simplify]: Simplify 0 into 0
4.306 * [backup-simplify]: Simplify 0 into 0
4.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
4.308 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.308 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
4.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.308 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.308 * [taylor]: Taking taylor expansion of y in y
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify 1 into 1
4.309 * [backup-simplify]: Simplify (* 1 1) into 1
4.309 * [backup-simplify]: Simplify (/ 1 1) into 1
4.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.309 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.309 * [taylor]: Taking taylor expansion of x in y
4.310 * [backup-simplify]: Simplify x into x
4.310 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.310 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.310 * [backup-simplify]: Simplify (+ 1 0) into 1
4.311 * [backup-simplify]: Simplify (sqrt 1) into 1
4.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.313 * [backup-simplify]: Simplify (+ 0 0) into 0
4.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.314 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.314 * [taylor]: Taking taylor expansion of y in x
4.314 * [backup-simplify]: Simplify y into y
4.314 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.315 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.315 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.315 * [taylor]: Taking taylor expansion of x in x
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 1 into 1
4.315 * [backup-simplify]: Simplify (* 1 1) into 1
4.316 * [backup-simplify]: Simplify (/ 1 1) into 1
4.316 * [backup-simplify]: Simplify (+ 0 1) into 1
4.317 * [backup-simplify]: Simplify (sqrt 1) into 1
4.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.319 * [backup-simplify]: Simplify (+ 0 0) into 0
4.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
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
4.320 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.320 * [taylor]: Taking taylor expansion of y in x
4.320 * [backup-simplify]: Simplify y into y
4.320 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.320 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.320 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.320 * [taylor]: Taking taylor expansion of x in x
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify 1 into 1
4.321 * [backup-simplify]: Simplify (* 1 1) into 1
4.321 * [backup-simplify]: Simplify (/ 1 1) into 1
4.321 * [backup-simplify]: Simplify (+ 0 1) into 1
4.322 * [backup-simplify]: Simplify (sqrt 1) into 1
4.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.324 * [backup-simplify]: Simplify (+ 0 0) into 0
4.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.324 * [taylor]: Taking taylor expansion of 1 in y
4.324 * [backup-simplify]: Simplify 1 into 1
4.324 * [taylor]: Taking taylor expansion of 0 in y
4.324 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 1 into 1
4.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.327 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.328 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.328 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.328 * [taylor]: Taking taylor expansion of 1/2 in y
4.328 * [backup-simplify]: Simplify 1/2 into 1/2
4.328 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.328 * [taylor]: Taking taylor expansion of y in y
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 1 into 1
4.329 * [backup-simplify]: Simplify (* 1 1) into 1
4.329 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 y)) into 0
4.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.334 * [backup-simplify]: Simplify (+ 0 0) into 0
4.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) 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 (- (/ 0 1) (+ (* 1/2 (/ 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
4.337 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.337 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.337 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
4.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
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
4.338 * [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)
4.339 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.340 * [backup-simplify]: Simplify (+ 1 0) into 1
4.340 * [backup-simplify]: Simplify (sqrt 1) into 1
4.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.342 * [backup-simplify]: Simplify (+ 0 0) into 0
4.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.343 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.343 * [taylor]: Taking taylor expansion of y in x
4.343 * [backup-simplify]: Simplify y into y
4.343 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.343 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.343 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.343 * [taylor]: Taking taylor expansion of x in x
4.343 * [backup-simplify]: Simplify 0 into 0
4.343 * [backup-simplify]: Simplify 1 into 1
4.344 * [backup-simplify]: Simplify (* 1 1) into 1
4.344 * [backup-simplify]: Simplify (/ 1 1) into 1
4.345 * [backup-simplify]: Simplify (+ 0 1) into 1
4.345 * [backup-simplify]: Simplify (sqrt 1) into 1
4.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.347 * [backup-simplify]: Simplify (+ 0 0) into 0
4.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.348 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.348 * [taylor]: Taking taylor expansion of y in x
4.348 * [backup-simplify]: Simplify y into y
4.348 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.348 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.348 * [taylor]: Taking taylor expansion of x in x
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify 1 into 1
4.349 * [backup-simplify]: Simplify (* 1 1) into 1
4.349 * [backup-simplify]: Simplify (/ 1 1) into 1
4.350 * [backup-simplify]: Simplify (+ 0 1) into 1
4.350 * [backup-simplify]: Simplify (sqrt 1) into 1
4.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.352 * [backup-simplify]: Simplify (+ 0 0) into 0
4.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.353 * [taylor]: Taking taylor expansion of 1 in y
4.353 * [backup-simplify]: Simplify 1 into 1
4.353 * [taylor]: Taking taylor expansion of 0 in y
4.353 * [backup-simplify]: Simplify 0 into 0
4.353 * [backup-simplify]: Simplify 1 into 1
4.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.356 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.357 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.357 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.357 * [taylor]: Taking taylor expansion of 1/2 in y
4.357 * [backup-simplify]: Simplify 1/2 into 1/2
4.357 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.357 * [taylor]: Taking taylor expansion of y in y
4.357 * [backup-simplify]: Simplify 0 into 0
4.357 * [backup-simplify]: Simplify 1 into 1
4.358 * [backup-simplify]: Simplify (* 1 1) into 1
4.358 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.360 * [backup-simplify]: Simplify 0 into 0
4.360 * [backup-simplify]: Simplify 0 into 0
4.360 * [backup-simplify]: Simplify 0 into 0
4.360 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.363 * [backup-simplify]: Simplify (+ 0 0) into 0
4.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.364 * [taylor]: Taking taylor expansion of 0 in y
4.364 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
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 (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.367 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
4.367 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
4.367 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
4.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
4.367 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.367 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.367 * [taylor]: Taking taylor expansion of y in y
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 1 into 1
4.367 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.367 * [taylor]: Taking taylor expansion of x in y
4.367 * [backup-simplify]: Simplify x into x
4.367 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.367 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.368 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.368 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.368 * [backup-simplify]: Simplify (+ 0 0) into 0
4.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.368 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
4.368 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.368 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.368 * [taylor]: Taking taylor expansion of y in x
4.369 * [backup-simplify]: Simplify y into y
4.369 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.369 * [taylor]: Taking taylor expansion of x in x
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 1 into 1
4.369 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.369 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.369 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.369 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.370 * [backup-simplify]: Simplify (+ 0 0) into 0
4.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
4.370 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.370 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.370 * [taylor]: Taking taylor expansion of y in x
4.370 * [backup-simplify]: Simplify y into y
4.370 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.370 * [taylor]: Taking taylor expansion of x in x
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 1 into 1
4.370 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.370 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.370 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.370 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.371 * [backup-simplify]: Simplify (+ 0 0) into 0
4.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.371 * [taylor]: Taking taylor expansion of y in y
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 1 into 1
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [taylor]: Taking taylor expansion of 0 in y
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 1 into 1
4.372 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.372 * [backup-simplify]: Simplify (* 1 1) into 1
4.373 * [backup-simplify]: Simplify (+ 0 1) into 1
4.374 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.374 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.374 * [taylor]: Taking taylor expansion of 1/2 in y
4.374 * [backup-simplify]: Simplify 1/2 into 1/2
4.374 * [taylor]: Taking taylor expansion of y in y
4.374 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify 1 into 1
4.374 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.375 * [backup-simplify]: Simplify 0 into 0
4.375 * [backup-simplify]: Simplify 0 into 0
4.375 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.377 * [backup-simplify]: Simplify (+ 0 0) into 0
4.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
4.377 * [taylor]: Taking taylor expansion of 0 in y
4.378 * [backup-simplify]: Simplify 0 into 0
4.378 * [backup-simplify]: Simplify 0 into 0
4.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.379 * [backup-simplify]: Simplify 0 into 0
4.379 * [backup-simplify]: Simplify 0 into 0
4.379 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
4.379 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.379 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
4.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.379 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.379 * [taylor]: Taking taylor expansion of y in y
4.380 * [backup-simplify]: Simplify 0 into 0
4.380 * [backup-simplify]: Simplify 1 into 1
4.380 * [backup-simplify]: Simplify (* 1 1) into 1
4.380 * [backup-simplify]: Simplify (/ 1 1) into 1
4.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.381 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.381 * [taylor]: Taking taylor expansion of x in y
4.381 * [backup-simplify]: Simplify x into x
4.381 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.381 * [backup-simplify]: Simplify (+ 1 0) into 1
4.382 * [backup-simplify]: Simplify (sqrt 1) into 1
4.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.384 * [backup-simplify]: Simplify (+ 0 0) into 0
4.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.385 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.385 * [taylor]: Taking taylor expansion of y in x
4.385 * [backup-simplify]: Simplify y into y
4.385 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.385 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.385 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.385 * [taylor]: Taking taylor expansion of x in x
4.385 * [backup-simplify]: Simplify 0 into 0
4.385 * [backup-simplify]: Simplify 1 into 1
4.386 * [backup-simplify]: Simplify (* 1 1) into 1
4.386 * [backup-simplify]: Simplify (/ 1 1) into 1
4.387 * [backup-simplify]: Simplify (+ 0 1) into 1
4.387 * [backup-simplify]: Simplify (sqrt 1) into 1
4.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.390 * [backup-simplify]: Simplify (+ 0 0) into 0
4.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.390 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.390 * [taylor]: Taking taylor expansion of y in x
4.391 * [backup-simplify]: Simplify y into y
4.391 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.391 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.391 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.391 * [taylor]: Taking taylor expansion of x in x
4.391 * [backup-simplify]: Simplify 0 into 0
4.391 * [backup-simplify]: Simplify 1 into 1
4.392 * [backup-simplify]: Simplify (* 1 1) into 1
4.392 * [backup-simplify]: Simplify (/ 1 1) into 1
4.392 * [backup-simplify]: Simplify (+ 0 1) into 1
4.393 * [backup-simplify]: Simplify (sqrt 1) into 1
4.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.395 * [backup-simplify]: Simplify (+ 0 0) into 0
4.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.396 * [taylor]: Taking taylor expansion of 1 in y
4.396 * [backup-simplify]: Simplify 1 into 1
4.396 * [taylor]: Taking taylor expansion of 0 in y
4.396 * [backup-simplify]: Simplify 0 into 0
4.396 * [backup-simplify]: Simplify 1 into 1
4.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.398 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.400 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.400 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.400 * [taylor]: Taking taylor expansion of 1/2 in y
4.400 * [backup-simplify]: Simplify 1/2 into 1/2
4.400 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.400 * [taylor]: Taking taylor expansion of y in y
4.400 * [backup-simplify]: Simplify 0 into 0
4.400 * [backup-simplify]: Simplify 1 into 1
4.401 * [backup-simplify]: Simplify (* 1 1) into 1
4.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.403 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.405 * [backup-simplify]: Simplify (+ 0 0) into 0
4.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.406 * [taylor]: Taking taylor expansion of 0 in y
4.406 * [backup-simplify]: Simplify 0 into 0
4.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.407 * [backup-simplify]: Simplify 0 into 0
4.407 * [backup-simplify]: Simplify 0 into 0
4.407 * [backup-simplify]: Simplify 0 into 0
4.407 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.407 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.407 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
4.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.408 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.408 * [taylor]: Taking taylor expansion of y in y
4.408 * [backup-simplify]: Simplify 0 into 0
4.408 * [backup-simplify]: Simplify 1 into 1
4.408 * [backup-simplify]: Simplify (* 1 1) into 1
4.408 * [backup-simplify]: Simplify (/ 1 1) into 1
4.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.408 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.408 * [taylor]: Taking taylor expansion of x in y
4.408 * [backup-simplify]: Simplify x into x
4.408 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.408 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.409 * [backup-simplify]: Simplify (+ 1 0) into 1
4.409 * [backup-simplify]: Simplify (sqrt 1) into 1
4.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.410 * [backup-simplify]: Simplify (+ 0 0) into 0
4.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.411 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.411 * [taylor]: Taking taylor expansion of y in x
4.411 * [backup-simplify]: Simplify y into y
4.411 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.411 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.411 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.411 * [taylor]: Taking taylor expansion of x in x
4.411 * [backup-simplify]: Simplify 0 into 0
4.411 * [backup-simplify]: Simplify 1 into 1
4.411 * [backup-simplify]: Simplify (* 1 1) into 1
4.412 * [backup-simplify]: Simplify (/ 1 1) into 1
4.412 * [backup-simplify]: Simplify (+ 0 1) into 1
4.412 * [backup-simplify]: Simplify (sqrt 1) into 1
4.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.414 * [backup-simplify]: Simplify (+ 0 0) into 0
4.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.415 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.415 * [taylor]: Taking taylor expansion of y in x
4.415 * [backup-simplify]: Simplify y into y
4.415 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.415 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.415 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.415 * [taylor]: Taking taylor expansion of x in x
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify 1 into 1
4.415 * [backup-simplify]: Simplify (* 1 1) into 1
4.416 * [backup-simplify]: Simplify (/ 1 1) into 1
4.416 * [backup-simplify]: Simplify (+ 0 1) into 1
4.416 * [backup-simplify]: Simplify (sqrt 1) into 1
4.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.417 * [backup-simplify]: Simplify (+ 0 0) into 0
4.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.418 * [taylor]: Taking taylor expansion of 1 in y
4.418 * [backup-simplify]: Simplify 1 into 1
4.418 * [taylor]: Taking taylor expansion of 0 in y
4.418 * [backup-simplify]: Simplify 0 into 0
4.418 * [backup-simplify]: Simplify 1 into 1
4.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.419 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.420 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.420 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.420 * [taylor]: Taking taylor expansion of 1/2 in y
4.420 * [backup-simplify]: Simplify 1/2 into 1/2
4.420 * [taylor]: Taking taylor expansion of (pow y 2) 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
4.421 * [backup-simplify]: Simplify (* 1 1) into 1
4.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.425 * [backup-simplify]: Simplify 0 into 0
4.425 * [backup-simplify]: Simplify 0 into 0
4.425 * [backup-simplify]: Simplify 0 into 0
4.425 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.427 * [backup-simplify]: Simplify (+ 0 0) into 0
4.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.427 * [taylor]: Taking taylor expansion of 0 in y
4.427 * [backup-simplify]: Simplify 0 into 0
4.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.429 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
4.429 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
4.429 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
4.429 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.429 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.429 * [taylor]: Taking taylor expansion of y in y
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify 1 into 1
4.429 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.429 * [taylor]: Taking taylor expansion of x in y
4.429 * [backup-simplify]: Simplify x into x
4.429 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.429 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.429 * [taylor]: Taking taylor expansion of y in x
4.429 * [backup-simplify]: Simplify y into y
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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.429 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.429 * [taylor]: Taking taylor expansion of y in x
4.429 * [backup-simplify]: Simplify y into y
4.429 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.429 * [taylor]: Taking taylor expansion of x in x
4.430 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify 1 into 1
4.430 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.430 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.430 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.430 * [taylor]: Taking taylor expansion of y in y
4.430 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify 1 into 1
4.430 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.430 * [backup-simplify]: Simplify (+ 0 0) into 0
4.430 * [taylor]: Taking taylor expansion of 0 in y
4.430 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify 0 into 0
4.431 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.431 * [backup-simplify]: Simplify (* 1 1) into 1
4.431 * [backup-simplify]: Simplify (+ 0 1) into 1
4.431 * [taylor]: Taking taylor expansion of 1 in y
4.431 * [backup-simplify]: Simplify 1 into 1
4.431 * [backup-simplify]: Simplify 1 into 1
4.431 * [backup-simplify]: Simplify 0 into 0
4.432 * [backup-simplify]: Simplify (* 1 1) into 1
4.432 * [backup-simplify]: Simplify 1 into 1
4.432 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.433 * [backup-simplify]: Simplify (+ 0 0) into 0
4.433 * [taylor]: Taking taylor expansion of 0 in y
4.433 * [backup-simplify]: Simplify 0 into 0
4.433 * [backup-simplify]: Simplify 0 into 0
4.433 * [backup-simplify]: Simplify 0 into 0
4.433 * [backup-simplify]: Simplify 0 into 0
4.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.434 * [backup-simplify]: Simplify 0 into 0
4.435 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.435 * [backup-simplify]: Simplify (+ 0 0) into 0
4.435 * [taylor]: Taking taylor expansion of 0 in y
4.435 * [backup-simplify]: Simplify 0 into 0
4.435 * [backup-simplify]: Simplify 0 into 0
4.435 * [backup-simplify]: Simplify 0 into 0
4.436 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
4.436 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.436 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.436 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.436 * [taylor]: Taking taylor expansion of y in y
4.436 * [backup-simplify]: Simplify 0 into 0
4.436 * [backup-simplify]: Simplify 1 into 1
4.436 * [backup-simplify]: Simplify (* 1 1) into 1
4.437 * [backup-simplify]: Simplify (/ 1 1) into 1
4.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.437 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.437 * [taylor]: Taking taylor expansion of x in y
4.437 * [backup-simplify]: Simplify x into x
4.437 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.437 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.437 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.437 * [taylor]: Taking taylor expansion of y in x
4.437 * [backup-simplify]: Simplify y into y
4.437 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.437 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.437 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.437 * [taylor]: Taking taylor expansion of x in x
4.437 * [backup-simplify]: Simplify 0 into 0
4.437 * [backup-simplify]: Simplify 1 into 1
4.438 * [backup-simplify]: Simplify (* 1 1) into 1
4.438 * [backup-simplify]: Simplify (/ 1 1) into 1
4.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.438 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.438 * [taylor]: Taking taylor expansion of y in x
4.438 * [backup-simplify]: Simplify y into y
4.438 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.438 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.438 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.438 * [taylor]: Taking taylor expansion of x in x
4.438 * [backup-simplify]: Simplify 0 into 0
4.438 * [backup-simplify]: Simplify 1 into 1
4.438 * [backup-simplify]: Simplify (* 1 1) into 1
4.439 * [backup-simplify]: Simplify (/ 1 1) into 1
4.439 * [backup-simplify]: Simplify (+ 0 1) into 1
4.439 * [taylor]: Taking taylor expansion of 1 in y
4.439 * [backup-simplify]: Simplify 1 into 1
4.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.440 * [backup-simplify]: Simplify (+ 0 0) into 0
4.440 * [taylor]: Taking taylor expansion of 0 in y
4.440 * [backup-simplify]: Simplify 0 into 0
4.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.442 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
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
4.442 * [backup-simplify]: Simplify (* 1 1) into 1
4.442 * [backup-simplify]: Simplify (/ 1 1) into 1
4.442 * [backup-simplify]: Simplify 1 into 1
4.442 * [backup-simplify]: Simplify 1 into 1
4.443 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.444 * [backup-simplify]: Simplify (+ 0 0) into 0
4.444 * [taylor]: Taking taylor expansion of 0 in y
4.444 * [backup-simplify]: Simplify 0 into 0
4.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.445 * [backup-simplify]: Simplify 0 into 0
4.445 * [backup-simplify]: Simplify 0 into 0
4.445 * [backup-simplify]: Simplify 0 into 0
4.446 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.448 * [backup-simplify]: Simplify (+ 0 0) into 0
4.448 * [taylor]: Taking taylor expansion of 0 in y
4.448 * [backup-simplify]: Simplify 0 into 0
4.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.449 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
4.450 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.450 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.450 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.450 * [taylor]: Taking taylor expansion of y in y
4.450 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify 1 into 1
4.451 * [backup-simplify]: Simplify (* 1 1) into 1
4.451 * [backup-simplify]: Simplify (/ 1 1) into 1
4.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.451 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.451 * [taylor]: Taking taylor expansion of x in y
4.451 * [backup-simplify]: Simplify x into x
4.451 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.451 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.451 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.451 * [taylor]: Taking taylor expansion of y in x
4.451 * [backup-simplify]: Simplify y into y
4.451 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.451 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.451 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.451 * [taylor]: Taking taylor expansion of x in x
4.451 * [backup-simplify]: Simplify 0 into 0
4.451 * [backup-simplify]: Simplify 1 into 1
4.452 * [backup-simplify]: Simplify (* 1 1) into 1
4.452 * [backup-simplify]: Simplify (/ 1 1) into 1
4.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.452 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.452 * [taylor]: Taking taylor expansion of y in x
4.452 * [backup-simplify]: Simplify y into y
4.452 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.452 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.452 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.452 * [taylor]: Taking taylor expansion of x in x
4.452 * [backup-simplify]: Simplify 0 into 0
4.452 * [backup-simplify]: Simplify 1 into 1
4.453 * [backup-simplify]: Simplify (* 1 1) into 1
4.453 * [backup-simplify]: Simplify (/ 1 1) into 1
4.453 * [backup-simplify]: Simplify (+ 0 1) into 1
4.453 * [taylor]: Taking taylor expansion of 1 in y
4.453 * [backup-simplify]: Simplify 1 into 1
4.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.455 * [backup-simplify]: Simplify (+ 0 0) into 0
4.455 * [taylor]: Taking taylor expansion of 0 in y
4.455 * [backup-simplify]: Simplify 0 into 0
4.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.456 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.456 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.456 * [taylor]: Taking taylor expansion of y in y
4.456 * [backup-simplify]: Simplify 0 into 0
4.456 * [backup-simplify]: Simplify 1 into 1
4.456 * [backup-simplify]: Simplify (* 1 1) into 1
4.457 * [backup-simplify]: Simplify (/ 1 1) into 1
4.457 * [backup-simplify]: Simplify 1 into 1
4.457 * [backup-simplify]: Simplify 1 into 1
4.457 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.459 * [backup-simplify]: Simplify (+ 0 0) into 0
4.459 * [taylor]: Taking taylor expansion of 0 in y
4.459 * [backup-simplify]: Simplify 0 into 0
4.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.460 * [backup-simplify]: Simplify 0 into 0
4.460 * [backup-simplify]: Simplify 0 into 0
4.460 * [backup-simplify]: Simplify 0 into 0
4.460 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.462 * [backup-simplify]: Simplify (+ 0 0) into 0
4.462 * [taylor]: Taking taylor expansion of 0 in y
4.462 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify 0 into 0
4.464 * [backup-simplify]: Simplify 0 into 0
4.464 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
4.464 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
4.464 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
4.464 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
4.464 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.464 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.464 * [taylor]: Taking taylor expansion of y in y
4.464 * [backup-simplify]: Simplify 0 into 0
4.464 * [backup-simplify]: Simplify 1 into 1
4.464 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.464 * [taylor]: Taking taylor expansion of x in y
4.464 * [backup-simplify]: Simplify x into x
4.464 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.464 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.464 * [taylor]: Taking taylor expansion of y in x
4.464 * [backup-simplify]: Simplify y into y
4.464 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.465 * [taylor]: Taking taylor expansion of x in x
4.465 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify 1 into 1
4.465 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.465 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.465 * [taylor]: Taking taylor expansion of y in x
4.465 * [backup-simplify]: Simplify y into y
4.465 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.465 * [taylor]: Taking taylor expansion of x in x
4.465 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify 1 into 1
4.465 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.465 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.465 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.465 * [taylor]: Taking taylor expansion of y in y
4.465 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify 1 into 1
4.465 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.465 * [backup-simplify]: Simplify (+ 0 0) into 0
4.465 * [taylor]: Taking taylor expansion of 0 in y
4.465 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify 0 into 0
4.466 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.466 * [backup-simplify]: Simplify (* 1 1) into 1
4.466 * [backup-simplify]: Simplify (+ 0 1) into 1
4.466 * [taylor]: Taking taylor expansion of 1 in y
4.466 * [backup-simplify]: Simplify 1 into 1
4.466 * [backup-simplify]: Simplify 1 into 1
4.466 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify (* 1 1) into 1
4.467 * [backup-simplify]: Simplify 1 into 1
4.467 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.468 * [backup-simplify]: Simplify (+ 0 0) into 0
4.468 * [taylor]: Taking taylor expansion of 0 in y
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
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 0) (+ (* 0 0) (* 0 1))) into 0
4.470 * [backup-simplify]: Simplify (+ 0 0) into 0
4.470 * [taylor]: Taking taylor expansion of 0 in y
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
4.470 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.471 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.471 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.471 * [taylor]: Taking taylor expansion of y in y
4.471 * [backup-simplify]: Simplify 0 into 0
4.471 * [backup-simplify]: Simplify 1 into 1
4.471 * [backup-simplify]: Simplify (* 1 1) into 1
4.471 * [backup-simplify]: Simplify (/ 1 1) into 1
4.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.471 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.471 * [taylor]: Taking taylor expansion of x in y
4.471 * [backup-simplify]: Simplify x into x
4.471 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.471 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.472 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.472 * [taylor]: Taking taylor expansion of y in x
4.472 * [backup-simplify]: Simplify y into y
4.472 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.472 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.472 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.472 * [taylor]: Taking taylor expansion of x in x
4.472 * [backup-simplify]: Simplify 0 into 0
4.472 * [backup-simplify]: Simplify 1 into 1
4.472 * [backup-simplify]: Simplify (* 1 1) into 1
4.472 * [backup-simplify]: Simplify (/ 1 1) into 1
4.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.472 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.472 * [taylor]: Taking taylor expansion of y in x
4.472 * [backup-simplify]: Simplify y into y
4.472 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.473 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.473 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.473 * [taylor]: Taking taylor expansion of x in x
4.473 * [backup-simplify]: Simplify 0 into 0
4.473 * [backup-simplify]: Simplify 1 into 1
4.473 * [backup-simplify]: Simplify (* 1 1) into 1
4.473 * [backup-simplify]: Simplify (/ 1 1) into 1
4.474 * [backup-simplify]: Simplify (+ 0 1) into 1
4.474 * [taylor]: Taking taylor expansion of 1 in y
4.474 * [backup-simplify]: Simplify 1 into 1
4.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.475 * [backup-simplify]: Simplify (+ 0 0) into 0
4.475 * [taylor]: Taking taylor expansion of 0 in y
4.475 * [backup-simplify]: Simplify 0 into 0
4.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.476 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.476 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.476 * [taylor]: Taking taylor expansion of y in y
4.476 * [backup-simplify]: Simplify 0 into 0
4.476 * [backup-simplify]: Simplify 1 into 1
4.477 * [backup-simplify]: Simplify (* 1 1) into 1
4.477 * [backup-simplify]: Simplify (/ 1 1) into 1
4.477 * [backup-simplify]: Simplify 1 into 1
4.477 * [backup-simplify]: Simplify 1 into 1
4.477 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1 0) (* 0 1)) into 0
4.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.480 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify 0 into 0
4.481 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 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
4.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
4.487 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.487 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.487 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.487 * [taylor]: Taking taylor expansion of y in y
4.487 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify 1 into 1
4.488 * [backup-simplify]: Simplify (* 1 1) into 1
4.488 * [backup-simplify]: Simplify (/ 1 1) into 1
4.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.488 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.489 * [taylor]: Taking taylor expansion of x in y
4.489 * [backup-simplify]: Simplify x into x
4.489 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.489 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.489 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.489 * [taylor]: Taking taylor expansion of y in x
4.489 * [backup-simplify]: Simplify y into y
4.489 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.489 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.489 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.489 * [taylor]: Taking taylor expansion of x in x
4.489 * [backup-simplify]: Simplify 0 into 0
4.489 * [backup-simplify]: Simplify 1 into 1
4.490 * [backup-simplify]: Simplify (* 1 1) into 1
4.490 * [backup-simplify]: Simplify (/ 1 1) into 1
4.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.491 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.491 * [taylor]: Taking taylor expansion of y in x
4.491 * [backup-simplify]: Simplify y into y
4.491 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.491 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.491 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.491 * [taylor]: Taking taylor expansion of x in x
4.491 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify (* 1 1) into 1
4.492 * [backup-simplify]: Simplify (/ 1 1) into 1
4.493 * [backup-simplify]: Simplify (+ 0 1) into 1
4.493 * [taylor]: Taking taylor expansion of 1 in y
4.493 * [backup-simplify]: Simplify 1 into 1
4.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.495 * [backup-simplify]: Simplify (+ 0 0) into 0
4.495 * [taylor]: Taking taylor expansion of 0 in y
4.495 * [backup-simplify]: Simplify 0 into 0
4.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.497 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.497 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.497 * [taylor]: Taking taylor expansion of y in y
4.497 * [backup-simplify]: Simplify 0 into 0
4.497 * [backup-simplify]: Simplify 1 into 1
4.498 * [backup-simplify]: Simplify (* 1 1) into 1
4.498 * [backup-simplify]: Simplify (/ 1 1) into 1
4.498 * [backup-simplify]: Simplify 1 into 1
4.498 * [backup-simplify]: Simplify 1 into 1
4.498 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.501 * [backup-simplify]: Simplify (+ 0 0) into 0
4.501 * [taylor]: Taking taylor expansion of 0 in y
4.501 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 0 into 0
4.504 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.507 * [backup-simplify]: Simplify (+ 0 0) into 0
4.507 * [taylor]: Taking taylor expansion of 0 in y
4.507 * [backup-simplify]: Simplify 0 into 0
4.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.509 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify 0 into 0
4.510 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
4.510 * * * [progress]: simplifying candidates
4.512 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (* (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))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
4.513 * * [simplify]: iteration 0: 48 enodes
4.531 * * [simplify]: iteration 1: 142 enodes
4.599 * * [simplify]: iteration 2: 770 enodes
4.935 * * [simplify]: iteration complete: 5000 enodes
4.935 * * [simplify]: Extracting #0: cost 28 inf + 0
4.936 * * [simplify]: Extracting #1: cost 262 inf + 4
4.941 * * [simplify]: Extracting #2: cost 1739 inf + 155
4.948 * * [simplify]: Extracting #3: cost 1667 inf + 4154
4.956 * * [simplify]: Extracting #4: cost 347 inf + 16400
4.970 * * [simplify]: Extracting #5: cost 43 inf + 19427
4.984 * * [simplify]: Extracting #6: cost 0 inf + 19785
4.991 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow x 6) (pow y 6)))
  (sqrt (+ (pow y 4) (* (* x x) (* (+ x y) (- x y)))))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (* (+ x y) (- x y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow x 6) (pow y 6)))
  (sqrt (+ (pow y 4) (* (* x x) (* (+ x y) (- x y)))))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (* (+ x y) (- x y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (+ (pow y 4) (* (* x x) (* (+ x y) (- x y))))
  (- (pow x 4) (pow y 4))
  (* (+ x y) (- x y))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (+ (pow y 4) (* (* x x) (* (+ x y) (- x y))))
  (- (pow x 4) (pow y 4))
  (* (+ x y) (- x y))
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
4.992 * * * [progress]: adding candidates to table
5.299 * [progress]: [Phase 3 of 3] Extracting.
5.299 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
5.299 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x)
5.299 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
5.351 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
5.384 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
5.421 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
5.471 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
5.525 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
5.525 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
5.525 * * [simplify]: iteration 0: 5 enodes
5.526 * * [simplify]: iteration 1: 6 enodes
5.526 * * [simplify]: iteration complete: 6 enodes
5.526 * * [simplify]: Extracting #0: cost 1 inf + 0
5.526 * * [simplify]: Extracting #1: cost 3 inf + 0
5.526 * * [simplify]: Extracting #2: cost 5 inf + 0
5.526 * * [simplify]: Extracting #3: cost 2 inf + 5
5.526 * * [simplify]: Extracting #4: cost 0 inf + 15
5.527 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
7.010 * [regime-testing]: Baseline error score: 0.005875734466808351
7.014 * [regime-testing]: Oracle error score: 0.004125515689461182
7.022 * [regime-testing]: End program error score: 0.005875734466808351