58.506 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.024 * * * [progress]: [2/2] Setting up program.
0.028 * [progress]: [Phase 2 of 3] Improving.
0.028 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.028 * * [simplify]: iteration 0: 5 enodes
0.029 * * [simplify]: iteration 1: 6 enodes
0.030 * * [simplify]: iteration complete: 6 enodes
0.030 * * [simplify]: Extracting #0: cost 1 inf + 0
0.030 * * [simplify]: Extracting #1: cost 3 inf + 0
0.030 * * [simplify]: Extracting #2: cost 5 inf + 0
0.030 * * [simplify]: Extracting #3: cost 2 inf + 43
0.030 * * [simplify]: Extracting #4: cost 0 inf + 206
0.030 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
0.031 * * [progress]: iteration 1 / 4
0.031 * * * [progress]: picking best candidate
0.034 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.034 * * * [progress]: localizing error
0.048 * * * [progress]: generating rewritten candidates
0.048 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.061 * * * [progress]: generating series expansions
0.061 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.061 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.061 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.061 * [taylor]: Taking taylor expansion of y in y
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 1 into 1
0.061 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.061 * [taylor]: Taking taylor expansion of x in y
0.061 * [backup-simplify]: Simplify x into x
0.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.061 * [taylor]: Taking taylor expansion of y in x
0.061 * [backup-simplify]: Simplify y into y
0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.062 * [taylor]: Taking taylor expansion of x in x
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.062 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.062 * [taylor]: Taking taylor expansion of y in x
0.062 * [backup-simplify]: Simplify y into y
0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.062 * [taylor]: Taking taylor expansion of x in x
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.062 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.062 * [taylor]: Taking taylor expansion of y in y
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [taylor]: Taking taylor expansion of 0 in y
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.064 * [backup-simplify]: Simplify (* 1 1) into 1
0.065 * [backup-simplify]: Simplify (+ 0 1) into 1
0.065 * [taylor]: Taking taylor expansion of 1 in y
0.065 * [backup-simplify]: Simplify 1 into 1
0.065 * [backup-simplify]: Simplify 1 into 1
0.065 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify (* 1 1) into 1
0.066 * [backup-simplify]: Simplify 1 into 1
0.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [taylor]: Taking taylor expansion of 0 in y
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [taylor]: Taking taylor expansion of 0 in y
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.073 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.073 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.073 * [taylor]: Taking taylor expansion of y in y
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.074 * [backup-simplify]: Simplify (* 1 1) into 1
0.075 * [backup-simplify]: Simplify (/ 1 1) into 1
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.075 * [taylor]: Taking taylor expansion of x in y
0.075 * [backup-simplify]: Simplify x into x
0.075 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.075 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.075 * [taylor]: Taking taylor expansion of y in x
0.075 * [backup-simplify]: Simplify y into y
0.075 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.075 * [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
0.076 * [backup-simplify]: Simplify (* 1 1) into 1
0.077 * [backup-simplify]: Simplify (/ 1 1) into 1
0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.077 * [taylor]: Taking taylor expansion of y in x
0.077 * [backup-simplify]: Simplify y into y
0.077 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.077 * [taylor]: Taking taylor expansion of x in x
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.078 * [backup-simplify]: Simplify (/ 1 1) into 1
0.079 * [backup-simplify]: Simplify (+ 0 1) into 1
0.079 * [taylor]: Taking taylor expansion of 1 in y
0.079 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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
0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.083 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.084 * [taylor]: Taking taylor expansion of y in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (* 1 1) into 1
0.085 * [backup-simplify]: Simplify (/ 1 1) into 1
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.088 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.095 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.098 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.098 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.098 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.098 * [taylor]: Taking taylor expansion of y in y
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (* 1 1) into 1
0.099 * [backup-simplify]: Simplify (/ 1 1) into 1
0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.100 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.100 * [taylor]: Taking taylor expansion of x in y
0.100 * [backup-simplify]: Simplify x into x
0.100 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.100 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.100 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.100 * [taylor]: Taking taylor expansion of y in x
0.100 * [backup-simplify]: Simplify y into y
0.100 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.100 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.100 * [taylor]: Taking taylor expansion of x in x
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (* 1 1) into 1
0.101 * [backup-simplify]: Simplify (/ 1 1) into 1
0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.102 * [taylor]: Taking taylor expansion of y in x
0.102 * [backup-simplify]: Simplify y into y
0.102 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.102 * [taylor]: Taking taylor expansion of x in x
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 1 into 1
0.103 * [backup-simplify]: Simplify (* 1 1) into 1
0.103 * [backup-simplify]: Simplify (/ 1 1) into 1
0.104 * [backup-simplify]: Simplify (+ 0 1) into 1
0.104 * [taylor]: Taking taylor expansion of 1 in y
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [taylor]: Taking taylor expansion of 0 in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
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
0.109 * [taylor]: Taking taylor expansion of y in y
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
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [taylor]: Taking taylor expansion of 0 in y
0.113 * [backup-simplify]: Simplify 0 into 0
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 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
0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [taylor]: Taking taylor expansion of 0 in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.123 * * * [progress]: simplifying candidates
0.124 * [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))
0.124 * * [simplify]: iteration 0: 30 enodes
0.149 * * [simplify]: iteration 1: 115 enodes
0.214 * * [simplify]: iteration 2: 639 enodes
1.686 * * [simplify]: iteration 3: 4731 enodes
4.087 * * [simplify]: iteration complete: 5000 enodes
4.088 * * [simplify]: Extracting #0: cost 11 inf + 0
4.088 * * [simplify]: Extracting #1: cost 171 inf + 0
4.091 * * [simplify]: Extracting #2: cost 1399 inf + 1
4.101 * * [simplify]: Extracting #3: cost 1519 inf + 29520
4.122 * * [simplify]: Extracting #4: cost 669 inf + 109674
4.170 * * [simplify]: Extracting #5: cost 116 inf + 188631
4.249 * * [simplify]: Extracting #6: cost 7 inf + 205104
4.299 * * [simplify]: Extracting #7: cost 0 inf + 205598
4.357 * [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)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))
  (- (* (* y y) (* y y)) (* (* x x) (- (* y y) (* x x))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (* (- x y) (+ x y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
4.358 * * * [progress]: adding candidates to table
4.420 * * [progress]: iteration 2 / 4
4.420 * * * [progress]: picking best candidate
4.427 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
4.427 * * * [progress]: localizing error
4.445 * * * [progress]: generating rewritten candidates
4.445 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.456 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
4.463 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
4.517 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
4.526 * * * [progress]: generating series expansions
4.526 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.526 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
4.526 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
4.526 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
4.526 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.526 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.526 * [taylor]: Taking taylor expansion of y in y
4.526 * [backup-simplify]: Simplify 0 into 0
4.526 * [backup-simplify]: Simplify 1 into 1
4.526 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.526 * [taylor]: Taking taylor expansion of x in y
4.526 * [backup-simplify]: Simplify x into x
4.526 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.527 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.527 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.527 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.527 * [backup-simplify]: Simplify (+ 0 0) into 0
4.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.527 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
4.528 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.528 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.528 * [taylor]: Taking taylor expansion of y in x
4.528 * [backup-simplify]: Simplify y into y
4.528 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.528 * [taylor]: Taking taylor expansion of x in x
4.528 * [backup-simplify]: Simplify 0 into 0
4.528 * [backup-simplify]: Simplify 1 into 1
4.528 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.528 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.528 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.528 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.528 * [backup-simplify]: Simplify (+ 0 0) into 0
4.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.528 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
4.528 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.528 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.529 * [taylor]: Taking taylor expansion of y in x
4.529 * [backup-simplify]: Simplify y into y
4.529 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.529 * [taylor]: Taking taylor expansion of x in x
4.529 * [backup-simplify]: Simplify 0 into 0
4.529 * [backup-simplify]: Simplify 1 into 1
4.529 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.529 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.529 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.529 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.529 * [backup-simplify]: Simplify (+ 0 0) into 0
4.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.529 * [taylor]: Taking taylor expansion of y in y
4.529 * [backup-simplify]: Simplify 0 into 0
4.529 * [backup-simplify]: Simplify 1 into 1
4.529 * [backup-simplify]: Simplify 0 into 0
4.530 * [taylor]: Taking taylor expansion of 0 in y
4.530 * [backup-simplify]: Simplify 0 into 0
4.530 * [backup-simplify]: Simplify 0 into 0
4.530 * [backup-simplify]: Simplify 1 into 1
4.530 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.530 * [backup-simplify]: Simplify (* 1 1) into 1
4.531 * [backup-simplify]: Simplify (+ 0 1) into 1
4.532 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.532 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.532 * [taylor]: Taking taylor expansion of 1/2 in y
4.532 * [backup-simplify]: Simplify 1/2 into 1/2
4.532 * [taylor]: Taking taylor expansion of y in y
4.532 * [backup-simplify]: Simplify 0 into 0
4.532 * [backup-simplify]: Simplify 1 into 1
4.533 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.534 * [backup-simplify]: Simplify 0 into 0
4.534 * [backup-simplify]: Simplify 0 into 0
4.534 * [backup-simplify]: Simplify 0 into 0
4.535 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.536 * [backup-simplify]: Simplify (+ 0 0) into 0
4.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
4.537 * [taylor]: Taking taylor expansion of 0 in y
4.537 * [backup-simplify]: Simplify 0 into 0
4.537 * [backup-simplify]: Simplify 0 into 0
4.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
4.539 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.539 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
4.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.539 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.539 * [taylor]: Taking taylor expansion of y in y
4.539 * [backup-simplify]: Simplify 0 into 0
4.539 * [backup-simplify]: Simplify 1 into 1
4.539 * [backup-simplify]: Simplify (* 1 1) into 1
4.540 * [backup-simplify]: Simplify (/ 1 1) into 1
4.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.540 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.540 * [taylor]: Taking taylor expansion of x in y
4.540 * [backup-simplify]: Simplify x into x
4.540 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.540 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.541 * [backup-simplify]: Simplify (+ 1 0) into 1
4.542 * [backup-simplify]: Simplify (sqrt 1) into 1
4.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.544 * [backup-simplify]: Simplify (+ 0 0) into 0
4.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.545 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.545 * [taylor]: Taking taylor expansion of y in x
4.545 * [backup-simplify]: Simplify y into y
4.545 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.545 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.545 * [taylor]: Taking taylor expansion of x in x
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [backup-simplify]: Simplify 1 into 1
4.546 * [backup-simplify]: Simplify (* 1 1) into 1
4.546 * [backup-simplify]: Simplify (/ 1 1) into 1
4.547 * [backup-simplify]: Simplify (+ 0 1) into 1
4.547 * [backup-simplify]: Simplify (sqrt 1) into 1
4.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.549 * [backup-simplify]: Simplify (+ 0 0) into 0
4.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.550 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.550 * [taylor]: Taking taylor expansion of y in x
4.550 * [backup-simplify]: Simplify y into y
4.551 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.551 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.551 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.551 * [taylor]: Taking taylor expansion of x in x
4.551 * [backup-simplify]: Simplify 0 into 0
4.551 * [backup-simplify]: Simplify 1 into 1
4.551 * [backup-simplify]: Simplify (* 1 1) into 1
4.552 * [backup-simplify]: Simplify (/ 1 1) into 1
4.553 * [backup-simplify]: Simplify (+ 0 1) into 1
4.553 * [backup-simplify]: Simplify (sqrt 1) into 1
4.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.555 * [backup-simplify]: Simplify (+ 0 0) into 0
4.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.559 * [taylor]: Taking taylor expansion of 1 in y
4.559 * [backup-simplify]: Simplify 1 into 1
4.559 * [taylor]: Taking taylor expansion of 0 in y
4.559 * [backup-simplify]: Simplify 0 into 0
4.559 * [backup-simplify]: Simplify 1 into 1
4.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.560 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.561 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.561 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.561 * [taylor]: Taking taylor expansion of 1/2 in y
4.561 * [backup-simplify]: Simplify 1/2 into 1/2
4.561 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.561 * [taylor]: Taking taylor expansion of y in y
4.561 * [backup-simplify]: Simplify 0 into 0
4.561 * [backup-simplify]: Simplify 1 into 1
4.562 * [backup-simplify]: Simplify (* 1 1) into 1
4.562 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.565 * [backup-simplify]: Simplify (+ 0 0) into 0
4.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.566 * [taylor]: Taking taylor expansion of 0 in y
4.566 * [backup-simplify]: Simplify 0 into 0
4.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.567 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.567 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
4.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.567 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.567 * [taylor]: Taking taylor expansion of y in y
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify 1 into 1
4.568 * [backup-simplify]: Simplify (* 1 1) into 1
4.568 * [backup-simplify]: Simplify (/ 1 1) into 1
4.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.568 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.568 * [taylor]: Taking taylor expansion of x in y
4.568 * [backup-simplify]: Simplify x into x
4.568 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.568 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.569 * [backup-simplify]: Simplify (+ 1 0) into 1
4.569 * [backup-simplify]: Simplify (sqrt 1) into 1
4.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.570 * [backup-simplify]: Simplify (+ 0 0) into 0
4.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.570 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.570 * [taylor]: Taking taylor expansion of y in x
4.571 * [backup-simplify]: Simplify y into y
4.571 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.571 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.571 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.571 * [taylor]: Taking taylor expansion of x in x
4.571 * [backup-simplify]: Simplify 0 into 0
4.571 * [backup-simplify]: Simplify 1 into 1
4.571 * [backup-simplify]: Simplify (* 1 1) into 1
4.571 * [backup-simplify]: Simplify (/ 1 1) into 1
4.572 * [backup-simplify]: Simplify (+ 0 1) into 1
4.572 * [backup-simplify]: Simplify (sqrt 1) into 1
4.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.573 * [backup-simplify]: Simplify (+ 0 0) into 0
4.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.573 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.573 * [taylor]: Taking taylor expansion of y in x
4.574 * [backup-simplify]: Simplify y into y
4.574 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.574 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.574 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.574 * [taylor]: Taking taylor expansion of x in x
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 1 into 1
4.574 * [backup-simplify]: Simplify (* 1 1) into 1
4.574 * [backup-simplify]: Simplify (/ 1 1) into 1
4.575 * [backup-simplify]: Simplify (+ 0 1) into 1
4.575 * [backup-simplify]: Simplify (sqrt 1) into 1
4.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.576 * [backup-simplify]: Simplify (+ 0 0) into 0
4.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.577 * [taylor]: Taking taylor expansion of 1 in y
4.577 * [backup-simplify]: Simplify 1 into 1
4.577 * [taylor]: Taking taylor expansion of 0 in y
4.577 * [backup-simplify]: Simplify 0 into 0
4.577 * [backup-simplify]: Simplify 1 into 1
4.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.578 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.579 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.579 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.579 * [taylor]: Taking taylor expansion of 1/2 in y
4.579 * [backup-simplify]: Simplify 1/2 into 1/2
4.579 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.579 * [taylor]: Taking taylor expansion of y in y
4.579 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify 1 into 1
4.579 * [backup-simplify]: Simplify (* 1 1) into 1
4.580 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.583 * [backup-simplify]: Simplify (+ 0 0) into 0
4.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.583 * [taylor]: Taking taylor expansion of 0 in y
4.583 * [backup-simplify]: Simplify 0 into 0
4.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.585 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
4.585 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
4.585 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
4.585 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
4.585 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.585 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.585 * [taylor]: Taking taylor expansion of y in y
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 1 into 1
4.585 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.585 * [taylor]: Taking taylor expansion of x in y
4.585 * [backup-simplify]: Simplify x into x
4.585 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.585 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.585 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.585 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.586 * [backup-simplify]: Simplify (+ 0 0) into 0
4.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.586 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
4.586 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.586 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.586 * [taylor]: Taking taylor expansion of y in x
4.586 * [backup-simplify]: Simplify y into y
4.586 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.586 * [taylor]: Taking taylor expansion of x in x
4.586 * [backup-simplify]: Simplify 0 into 0
4.586 * [backup-simplify]: Simplify 1 into 1
4.586 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.586 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.586 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.586 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.587 * [backup-simplify]: Simplify (+ 0 0) into 0
4.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.587 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
4.587 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.587 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.587 * [taylor]: Taking taylor expansion of y in x
4.587 * [backup-simplify]: Simplify y into y
4.587 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.587 * [taylor]: Taking taylor expansion of x in x
4.587 * [backup-simplify]: Simplify 0 into 0
4.587 * [backup-simplify]: Simplify 1 into 1
4.587 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.587 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.587 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.587 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.588 * [backup-simplify]: Simplify (+ 0 0) into 0
4.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.588 * [taylor]: Taking taylor expansion of y in y
4.588 * [backup-simplify]: Simplify 0 into 0
4.588 * [backup-simplify]: Simplify 1 into 1
4.588 * [backup-simplify]: Simplify 0 into 0
4.588 * [taylor]: Taking taylor expansion of 0 in y
4.588 * [backup-simplify]: Simplify 0 into 0
4.588 * [backup-simplify]: Simplify 0 into 0
4.588 * [backup-simplify]: Simplify 1 into 1
4.589 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.589 * [backup-simplify]: Simplify (* 1 1) into 1
4.589 * [backup-simplify]: Simplify (+ 0 1) into 1
4.590 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.590 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.590 * [taylor]: Taking taylor expansion of 1/2 in y
4.590 * [backup-simplify]: Simplify 1/2 into 1/2
4.590 * [taylor]: Taking taylor expansion of y in y
4.590 * [backup-simplify]: Simplify 0 into 0
4.590 * [backup-simplify]: Simplify 1 into 1
4.590 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.591 * [backup-simplify]: Simplify 0 into 0
4.591 * [backup-simplify]: Simplify 0 into 0
4.591 * [backup-simplify]: Simplify 0 into 0
4.592 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.594 * [backup-simplify]: Simplify (+ 0 0) into 0
4.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
4.594 * [taylor]: Taking taylor expansion of 0 in y
4.594 * [backup-simplify]: Simplify 0 into 0
4.594 * [backup-simplify]: Simplify 0 into 0
4.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.595 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
4.596 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.596 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
4.596 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.596 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.596 * [taylor]: Taking taylor expansion of y in y
4.596 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify 1 into 1
4.597 * [backup-simplify]: Simplify (* 1 1) into 1
4.597 * [backup-simplify]: Simplify (/ 1 1) into 1
4.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.597 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.597 * [taylor]: Taking taylor expansion of x in y
4.597 * [backup-simplify]: Simplify x into x
4.598 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.598 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.598 * [backup-simplify]: Simplify (+ 1 0) into 1
4.599 * [backup-simplify]: Simplify (sqrt 1) into 1
4.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.600 * [backup-simplify]: Simplify (+ 0 0) into 0
4.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.600 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.600 * [taylor]: Taking taylor expansion of y in x
4.600 * [backup-simplify]: Simplify y into y
4.600 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.600 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.600 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.600 * [taylor]: Taking taylor expansion of x in x
4.601 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify 1 into 1
4.601 * [backup-simplify]: Simplify (* 1 1) into 1
4.601 * [backup-simplify]: Simplify (/ 1 1) into 1
4.601 * [backup-simplify]: Simplify (+ 0 1) into 1
4.602 * [backup-simplify]: Simplify (sqrt 1) into 1
4.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.603 * [backup-simplify]: Simplify (+ 0 0) into 0
4.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.604 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.604 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.604 * [taylor]: Taking taylor expansion of y in x
4.604 * [backup-simplify]: Simplify y into y
4.604 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.604 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.604 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.604 * [taylor]: Taking taylor expansion of x in x
4.604 * [backup-simplify]: Simplify 0 into 0
4.604 * [backup-simplify]: Simplify 1 into 1
4.604 * [backup-simplify]: Simplify (* 1 1) into 1
4.605 * [backup-simplify]: Simplify (/ 1 1) into 1
4.605 * [backup-simplify]: Simplify (+ 0 1) into 1
4.605 * [backup-simplify]: Simplify (sqrt 1) into 1
4.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.606 * [backup-simplify]: Simplify (+ 0 0) into 0
4.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.607 * [taylor]: Taking taylor expansion of 1 in y
4.607 * [backup-simplify]: Simplify 1 into 1
4.607 * [taylor]: Taking taylor expansion of 0 in y
4.607 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify 1 into 1
4.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.608 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.609 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.609 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.609 * [taylor]: Taking taylor expansion of 1/2 in y
4.609 * [backup-simplify]: Simplify 1/2 into 1/2
4.609 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.609 * [taylor]: Taking taylor expansion of y in y
4.609 * [backup-simplify]: Simplify 0 into 0
4.609 * [backup-simplify]: Simplify 1 into 1
4.610 * [backup-simplify]: Simplify (* 1 1) into 1
4.610 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.611 * [backup-simplify]: Simplify 0 into 0
4.611 * [backup-simplify]: Simplify 0 into 0
4.611 * [backup-simplify]: Simplify 0 into 0
4.611 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.613 * [backup-simplify]: Simplify (+ 0 0) into 0
4.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.614 * [taylor]: Taking taylor expansion of 0 in y
4.614 * [backup-simplify]: Simplify 0 into 0
4.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.615 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.615 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
4.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.615 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.615 * [taylor]: Taking taylor expansion of y in y
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 1 into 1
4.616 * [backup-simplify]: Simplify (* 1 1) into 1
4.616 * [backup-simplify]: Simplify (/ 1 1) into 1
4.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.616 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.616 * [taylor]: Taking taylor expansion of x in y
4.616 * [backup-simplify]: Simplify x into x
4.616 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.616 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.617 * [backup-simplify]: Simplify (+ 1 0) into 1
4.617 * [backup-simplify]: Simplify (sqrt 1) into 1
4.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.618 * [backup-simplify]: Simplify (+ 0 0) into 0
4.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.618 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.618 * [taylor]: Taking taylor expansion of y in x
4.619 * [backup-simplify]: Simplify y into y
4.619 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.619 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.619 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.619 * [taylor]: Taking taylor expansion of x in x
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify 1 into 1
4.619 * [backup-simplify]: Simplify (* 1 1) into 1
4.619 * [backup-simplify]: Simplify (/ 1 1) into 1
4.620 * [backup-simplify]: Simplify (+ 0 1) into 1
4.620 * [backup-simplify]: Simplify (sqrt 1) into 1
4.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.621 * [backup-simplify]: Simplify (+ 0 0) into 0
4.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.622 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.622 * [taylor]: Taking taylor expansion of y in x
4.622 * [backup-simplify]: Simplify y into y
4.622 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.622 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.622 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.622 * [taylor]: Taking taylor expansion of x in x
4.622 * [backup-simplify]: Simplify 0 into 0
4.622 * [backup-simplify]: Simplify 1 into 1
4.622 * [backup-simplify]: Simplify (* 1 1) into 1
4.622 * [backup-simplify]: Simplify (/ 1 1) into 1
4.623 * [backup-simplify]: Simplify (+ 0 1) into 1
4.623 * [backup-simplify]: Simplify (sqrt 1) into 1
4.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.624 * [backup-simplify]: Simplify (+ 0 0) into 0
4.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.625 * [taylor]: Taking taylor expansion of 1 in y
4.625 * [backup-simplify]: Simplify 1 into 1
4.625 * [taylor]: Taking taylor expansion of 0 in y
4.625 * [backup-simplify]: Simplify 0 into 0
4.625 * [backup-simplify]: Simplify 1 into 1
4.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.626 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.628 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.628 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.628 * [taylor]: Taking taylor expansion of 1/2 in y
4.628 * [backup-simplify]: Simplify 1/2 into 1/2
4.628 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.628 * [taylor]: Taking taylor expansion of y in y
4.628 * [backup-simplify]: Simplify 0 into 0
4.628 * [backup-simplify]: Simplify 1 into 1
4.629 * [backup-simplify]: Simplify (* 1 1) into 1
4.629 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.634 * [backup-simplify]: Simplify (+ 0 0) into 0
4.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.635 * [taylor]: Taking taylor expansion of 0 in y
4.635 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.638 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.638 * * * * [progress]: [ 3 / 4 ] generating series at (2)
4.638 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow y 2) (pow x 2))
4.638 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
4.638 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.639 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.639 * [taylor]: Taking taylor expansion of y in y
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 1 into 1
4.639 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.639 * [taylor]: Taking taylor expansion of x in y
4.639 * [backup-simplify]: Simplify x into x
4.639 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.639 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.639 * [taylor]: Taking taylor expansion of y in x
4.639 * [backup-simplify]: Simplify y into y
4.639 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.639 * [taylor]: Taking taylor expansion of x in x
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 1 into 1
4.639 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.639 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.639 * [taylor]: Taking taylor expansion of y in x
4.639 * [backup-simplify]: Simplify y into y
4.639 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.639 * [taylor]: Taking taylor expansion of x in x
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 1 into 1
4.639 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.639 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.639 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.639 * [taylor]: Taking taylor expansion of y in y
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify 1 into 1
4.640 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.640 * [backup-simplify]: Simplify (+ 0 0) into 0
4.640 * [taylor]: Taking taylor expansion of 0 in y
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify 0 into 0
4.641 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.641 * [backup-simplify]: Simplify (* 1 1) into 1
4.642 * [backup-simplify]: Simplify (+ 0 1) into 1
4.642 * [taylor]: Taking taylor expansion of 1 in y
4.642 * [backup-simplify]: Simplify 1 into 1
4.642 * [backup-simplify]: Simplify 1 into 1
4.642 * [backup-simplify]: Simplify 0 into 0
4.642 * [backup-simplify]: Simplify (* 1 1) into 1
4.642 * [backup-simplify]: Simplify 1 into 1
4.643 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.644 * [backup-simplify]: Simplify (+ 0 0) into 0
4.644 * [taylor]: Taking taylor expansion of 0 in y
4.644 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.645 * [backup-simplify]: Simplify 0 into 0
4.647 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.648 * [backup-simplify]: Simplify (+ 0 0) into 0
4.648 * [taylor]: Taking taylor expansion of 0 in y
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 0 into 0
4.649 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
4.649 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.649 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.649 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.649 * [taylor]: Taking taylor expansion of y in y
4.649 * [backup-simplify]: Simplify 0 into 0
4.649 * [backup-simplify]: Simplify 1 into 1
4.650 * [backup-simplify]: Simplify (* 1 1) into 1
4.650 * [backup-simplify]: Simplify (/ 1 1) into 1
4.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.651 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.651 * [taylor]: Taking taylor expansion of x in y
4.651 * [backup-simplify]: Simplify x into x
4.651 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.651 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.651 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.651 * [taylor]: Taking taylor expansion of y in x
4.651 * [backup-simplify]: Simplify y into y
4.651 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.651 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.651 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.651 * [taylor]: Taking taylor expansion of x in x
4.651 * [backup-simplify]: Simplify 0 into 0
4.651 * [backup-simplify]: Simplify 1 into 1
4.652 * [backup-simplify]: Simplify (* 1 1) into 1
4.653 * [backup-simplify]: Simplify (/ 1 1) into 1
4.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.653 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.653 * [taylor]: Taking taylor expansion of y in x
4.653 * [backup-simplify]: Simplify y into y
4.653 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.653 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.653 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.653 * [taylor]: Taking taylor expansion of x in x
4.653 * [backup-simplify]: Simplify 0 into 0
4.653 * [backup-simplify]: Simplify 1 into 1
4.654 * [backup-simplify]: Simplify (* 1 1) into 1
4.654 * [backup-simplify]: Simplify (/ 1 1) into 1
4.655 * [backup-simplify]: Simplify (+ 0 1) into 1
4.655 * [taylor]: Taking taylor expansion of 1 in y
4.655 * [backup-simplify]: Simplify 1 into 1
4.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.657 * [backup-simplify]: Simplify (+ 0 0) into 0
4.657 * [taylor]: Taking taylor expansion of 0 in y
4.657 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.660 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.660 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.660 * [taylor]: Taking taylor expansion of y in y
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 1 into 1
4.661 * [backup-simplify]: Simplify (* 1 1) into 1
4.661 * [backup-simplify]: Simplify (/ 1 1) into 1
4.661 * [backup-simplify]: Simplify 1 into 1
4.661 * [backup-simplify]: Simplify 1 into 1
4.661 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.665 * [backup-simplify]: Simplify (+ 0 0) into 0
4.665 * [taylor]: Taking taylor expansion of 0 in y
4.665 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.672 * [backup-simplify]: Simplify (+ 0 0) into 0
4.672 * [taylor]: Taking taylor expansion of 0 in y
4.672 * [backup-simplify]: Simplify 0 into 0
4.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.676 * [backup-simplify]: Simplify 0 into 0
4.676 * [backup-simplify]: Simplify 0 into 0
4.676 * [backup-simplify]: Simplify 0 into 0
4.676 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
4.677 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.677 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.678 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.678 * [taylor]: Taking taylor expansion of y in y
4.678 * [backup-simplify]: Simplify 0 into 0
4.678 * [backup-simplify]: Simplify 1 into 1
4.678 * [backup-simplify]: Simplify (* 1 1) into 1
4.679 * [backup-simplify]: Simplify (/ 1 1) into 1
4.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.679 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.679 * [taylor]: Taking taylor expansion of x in y
4.679 * [backup-simplify]: Simplify x into x
4.679 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.679 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.680 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.680 * [taylor]: Taking taylor expansion of y in x
4.680 * [backup-simplify]: Simplify y into y
4.680 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.680 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.680 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.680 * [taylor]: Taking taylor expansion of x in x
4.680 * [backup-simplify]: Simplify 0 into 0
4.680 * [backup-simplify]: Simplify 1 into 1
4.680 * [backup-simplify]: Simplify (* 1 1) into 1
4.681 * [backup-simplify]: Simplify (/ 1 1) into 1
4.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.681 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.681 * [taylor]: Taking taylor expansion of y in x
4.681 * [backup-simplify]: Simplify y into y
4.681 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.681 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.681 * [taylor]: Taking taylor expansion of x in x
4.681 * [backup-simplify]: Simplify 0 into 0
4.681 * [backup-simplify]: Simplify 1 into 1
4.682 * [backup-simplify]: Simplify (* 1 1) into 1
4.682 * [backup-simplify]: Simplify (/ 1 1) into 1
4.683 * [backup-simplify]: Simplify (+ 0 1) into 1
4.683 * [taylor]: Taking taylor expansion of 1 in y
4.683 * [backup-simplify]: Simplify 1 into 1
4.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.685 * [backup-simplify]: Simplify (+ 0 0) into 0
4.685 * [taylor]: Taking taylor expansion of 0 in y
4.685 * [backup-simplify]: Simplify 0 into 0
4.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.687 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.688 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.688 * [taylor]: Taking taylor expansion of y in y
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify 1 into 1
4.688 * [backup-simplify]: Simplify (* 1 1) into 1
4.689 * [backup-simplify]: Simplify (/ 1 1) into 1
4.689 * [backup-simplify]: Simplify 1 into 1
4.689 * [backup-simplify]: Simplify 1 into 1
4.689 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.692 * [backup-simplify]: Simplify (+ 0 0) into 0
4.692 * [taylor]: Taking taylor expansion of 0 in y
4.692 * [backup-simplify]: Simplify 0 into 0
4.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.704 * [backup-simplify]: Simplify (+ 0 0) into 0
4.704 * [taylor]: Taking taylor expansion of 0 in y
4.704 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
4.707 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
4.707 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
4.707 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
4.707 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.707 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.707 * [taylor]: Taking taylor expansion of y in y
4.707 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify 1 into 1
4.707 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.707 * [taylor]: Taking taylor expansion of x in y
4.707 * [backup-simplify]: Simplify x into x
4.707 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.707 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.707 * [taylor]: Taking taylor expansion of y in x
4.707 * [backup-simplify]: Simplify y into y
4.707 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.707 * [taylor]: Taking taylor expansion of x in x
4.707 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify 1 into 1
4.707 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.707 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.707 * [taylor]: Taking taylor expansion of y in x
4.707 * [backup-simplify]: Simplify y into y
4.708 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.708 * [taylor]: Taking taylor expansion of x in x
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify 1 into 1
4.708 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.708 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.708 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.708 * [taylor]: Taking taylor expansion of y in y
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify 1 into 1
4.708 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.709 * [backup-simplify]: Simplify (+ 0 0) into 0
4.709 * [taylor]: Taking taylor expansion of 0 in y
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.710 * [backup-simplify]: Simplify (* 1 1) into 1
4.710 * [backup-simplify]: Simplify (+ 0 1) into 1
4.710 * [taylor]: Taking taylor expansion of 1 in y
4.710 * [backup-simplify]: Simplify 1 into 1
4.710 * [backup-simplify]: Simplify 1 into 1
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify (* 1 1) into 1
4.711 * [backup-simplify]: Simplify 1 into 1
4.712 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.713 * [backup-simplify]: Simplify (+ 0 0) into 0
4.713 * [taylor]: Taking taylor expansion of 0 in y
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.714 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.717 * [backup-simplify]: Simplify (+ 0 0) into 0
4.717 * [taylor]: Taking taylor expansion of 0 in y
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
4.718 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.718 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.718 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.718 * [taylor]: Taking taylor expansion of y in y
4.718 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify 1 into 1
4.719 * [backup-simplify]: Simplify (* 1 1) into 1
4.719 * [backup-simplify]: Simplify (/ 1 1) into 1
4.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.720 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.720 * [taylor]: Taking taylor expansion of x in y
4.720 * [backup-simplify]: Simplify x into x
4.720 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.720 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.720 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.720 * [taylor]: Taking taylor expansion of y in x
4.720 * [backup-simplify]: Simplify y into y
4.720 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.720 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.720 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.720 * [taylor]: Taking taylor expansion of x in x
4.720 * [backup-simplify]: Simplify 0 into 0
4.720 * [backup-simplify]: Simplify 1 into 1
4.721 * [backup-simplify]: Simplify (* 1 1) into 1
4.721 * [backup-simplify]: Simplify (/ 1 1) into 1
4.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.722 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.722 * [taylor]: Taking taylor expansion of y in x
4.722 * [backup-simplify]: Simplify y into y
4.722 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.722 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.722 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.722 * [taylor]: Taking taylor expansion of x in x
4.722 * [backup-simplify]: Simplify 0 into 0
4.722 * [backup-simplify]: Simplify 1 into 1
4.723 * [backup-simplify]: Simplify (* 1 1) into 1
4.723 * [backup-simplify]: Simplify (/ 1 1) into 1
4.724 * [backup-simplify]: Simplify (+ 0 1) into 1
4.724 * [taylor]: Taking taylor expansion of 1 in y
4.724 * [backup-simplify]: Simplify 1 into 1
4.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.726 * [backup-simplify]: Simplify (+ 0 0) into 0
4.726 * [taylor]: Taking taylor expansion of 0 in y
4.726 * [backup-simplify]: Simplify 0 into 0
4.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.728 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.728 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.728 * [taylor]: Taking taylor expansion of y in y
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [backup-simplify]: Simplify (* 1 1) into 1
4.730 * [backup-simplify]: Simplify (/ 1 1) into 1
4.730 * [backup-simplify]: Simplify 1 into 1
4.730 * [backup-simplify]: Simplify 1 into 1
4.730 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.733 * [backup-simplify]: Simplify (+ 0 0) into 0
4.733 * [taylor]: Taking taylor expansion of 0 in y
4.733 * [backup-simplify]: Simplify 0 into 0
4.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 0 into 0
4.736 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.739 * [backup-simplify]: Simplify (+ 0 0) into 0
4.739 * [taylor]: Taking taylor expansion of 0 in y
4.739 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.741 * [backup-simplify]: Simplify 0 into 0
4.741 * [backup-simplify]: Simplify 0 into 0
4.741 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
4.742 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.742 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.743 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.743 * [taylor]: Taking taylor expansion of y in y
4.743 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify 1 into 1
4.743 * [backup-simplify]: Simplify (* 1 1) into 1
4.744 * [backup-simplify]: Simplify (/ 1 1) into 1
4.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.744 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.744 * [taylor]: Taking taylor expansion of x in y
4.744 * [backup-simplify]: Simplify x into x
4.744 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.744 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.744 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.744 * [taylor]: Taking taylor expansion of y in x
4.744 * [backup-simplify]: Simplify y into y
4.744 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.744 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.745 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.745 * [taylor]: Taking taylor expansion of x in x
4.745 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify 1 into 1
4.745 * [backup-simplify]: Simplify (* 1 1) into 1
4.746 * [backup-simplify]: Simplify (/ 1 1) into 1
4.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.746 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.746 * [taylor]: Taking taylor expansion of y in x
4.746 * [backup-simplify]: Simplify y into y
4.746 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.746 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.746 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.746 * [taylor]: Taking taylor expansion of x in x
4.746 * [backup-simplify]: Simplify 0 into 0
4.746 * [backup-simplify]: Simplify 1 into 1
4.747 * [backup-simplify]: Simplify (* 1 1) into 1
4.747 * [backup-simplify]: Simplify (/ 1 1) into 1
4.748 * [backup-simplify]: Simplify (+ 0 1) into 1
4.748 * [taylor]: Taking taylor expansion of 1 in y
4.748 * [backup-simplify]: Simplify 1 into 1
4.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.750 * [backup-simplify]: Simplify (+ 0 0) into 0
4.750 * [taylor]: Taking taylor expansion of 0 in y
4.750 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.752 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.752 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.752 * [taylor]: Taking taylor expansion of y in y
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 1 into 1
4.753 * [backup-simplify]: Simplify (* 1 1) into 1
4.754 * [backup-simplify]: Simplify (/ 1 1) into 1
4.754 * [backup-simplify]: Simplify 1 into 1
4.754 * [backup-simplify]: Simplify 1 into 1
4.754 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.757 * [backup-simplify]: Simplify (+ 0 0) into 0
4.758 * [taylor]: Taking taylor expansion of 0 in y
4.758 * [backup-simplify]: Simplify 0 into 0
4.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.759 * [backup-simplify]: Simplify 0 into 0
4.759 * [backup-simplify]: Simplify 0 into 0
4.759 * [backup-simplify]: Simplify 0 into 0
4.760 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.764 * [backup-simplify]: Simplify (+ 0 0) into 0
4.764 * [taylor]: Taking taylor expansion of 0 in y
4.764 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.766 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
4.767 * * * [progress]: simplifying candidates
4.770 * [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))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))
  (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))
  (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (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 (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (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)) (* (* x x) (* y y))))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (- (* x x) (* y y))) (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) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))))
  (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 1 1)
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) 1)
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (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))
  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))
4.773 * * [simplify]: iteration 0: 92 enodes
4.817 * * [simplify]: iteration 1: 241 enodes
5.010 * * [simplify]: iteration 2: 1282 enodes
5.512 * * [simplify]: iteration complete: 5000 enodes
5.512 * * [simplify]: Extracting #0: cost 39 inf + 0
5.513 * * [simplify]: Extracting #1: cost 577 inf + 46
5.517 * * [simplify]: Extracting #2: cost 1642 inf + 2967
5.552 * * [simplify]: Extracting #3: cost 1655 inf + 83006
5.629 * * [simplify]: Extracting #4: cost 382 inf + 334598
5.727 * * [simplify]: Extracting #5: cost 56 inf + 423805
5.867 * * [simplify]: Extracting #6: cost 9 inf + 431997
5.980 * * [simplify]: Extracting #7: cost 0 inf + 434634
6.110 * [simplify]: Simplified to:
  (log (sqrt (+ (* y y) (* x x))))
  (exp (sqrt (+ (* y y) (* x x))))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (cbrt (sqrt (+ (* y y) (* x x))))
  (* (+ (* y y) (* x x)) (sqrt (+ (* y y) (* x x))))
  (fabs (cbrt (+ (* y y) (* x x))))
  (sqrt (cbrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y)))))
  (sqrt (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (log (sqrt (+ (* y y) (* x x))))
  (exp (sqrt (+ (* y y) (* x x))))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (cbrt (sqrt (+ (* y y) (* x x))))
  (* (+ (* y y) (* x x)) (sqrt (+ (* y y) (* x x))))
  (fabs (cbrt (+ (* y y) (* x x))))
  (sqrt (cbrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y)))))
  (sqrt (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  1
  2
  1
  1
  (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))
  (+ (* y y) (* x x))
  (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))
  2
  (log (+ (* y y) (* x x)))
  (log (+ (* y y) (* x x)))
  (exp (+ (* x x) (* y y)))
  (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))
  (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))
  (cbrt (+ (* y y) (* x x)))
  (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))
  (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (+ (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y))))
  (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x)))
  (* (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x)))))
  (* (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x)))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (* (sqrt (+ (* y y) (* x x))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))
  (cbrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  1
  (+ (* y y) (* x x))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  1
  (+ (* y y) (* x x))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  1
  2
  1
  (* (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) (sqrt (+ (* y y) (* x x))))
  (* (fabs (cbrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (sqrt (+ (* y y) (* x x)))
  (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (sqrt (+ (* y y) (* x x)))
  (* (sqrt (+ (* y y) (* x x))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (* (sqrt (cbrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (+ (* y y) (* x x))
  (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (+ (* y y) (* x x))
  (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y))))))
  (* (sqrt (+ (* y y) (* x x))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y))))))
  (* (sqrt (+ (* y y) (* x x))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* y y) (* x x)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))
  (cbrt (+ (* y y) (* x x)))
  (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (+ (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y))))
  (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x)))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
6.123 * * * [progress]: adding candidates to table
6.621 * * [progress]: iteration 3 / 4
6.621 * * * [progress]: picking best candidate
6.625 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))))>
6.626 * * * [progress]: localizing error
6.695 * * * [progress]: generating rewritten candidates
6.696 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
6.844 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
6.915 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
6.922 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
6.970 * * * [progress]: generating series expansions
6.970 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
6.970 * [backup-simplify]: Simplify (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))) into (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))
6.970 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in (x y) around 0
6.970 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y
6.970 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y
6.970 * [taylor]: Taking taylor expansion of (pow x 4) in y
6.970 * [taylor]: Taking taylor expansion of x in y
6.970 * [backup-simplify]: Simplify x into x
6.970 * [taylor]: Taking taylor expansion of (pow y 4) in y
6.970 * [taylor]: Taking taylor expansion of y in y
6.970 * [backup-simplify]: Simplify 0 into 0
6.970 * [backup-simplify]: Simplify 1 into 1
6.971 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y
6.971 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.971 * [taylor]: Taking taylor expansion of x in y
6.971 * [backup-simplify]: Simplify x into x
6.971 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.971 * [taylor]: Taking taylor expansion of y in y
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify 1 into 1
6.971 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.971 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
6.971 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4)
6.971 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.971 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.971 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2)
6.971 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x
6.971 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x
6.971 * [taylor]: Taking taylor expansion of (pow x 4) in x
6.971 * [taylor]: Taking taylor expansion of x in x
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify 1 into 1
6.971 * [taylor]: Taking taylor expansion of (pow y 4) in x
6.971 * [taylor]: Taking taylor expansion of y in x
6.971 * [backup-simplify]: Simplify y into y
6.971 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x
6.971 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.971 * [taylor]: Taking taylor expansion of x in x
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify 1 into 1
6.971 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.971 * [taylor]: Taking taylor expansion of y in x
6.971 * [backup-simplify]: Simplify y into y
6.971 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.972 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
6.972 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4))
6.972 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4))
6.972 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.972 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2))
6.972 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2))
6.972 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2)
6.972 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x
6.972 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x
6.972 * [taylor]: Taking taylor expansion of (pow x 4) in x
6.972 * [taylor]: Taking taylor expansion of x in x
6.972 * [backup-simplify]: Simplify 0 into 0
6.972 * [backup-simplify]: Simplify 1 into 1
6.972 * [taylor]: Taking taylor expansion of (pow y 4) in x
6.972 * [taylor]: Taking taylor expansion of y in x
6.972 * [backup-simplify]: Simplify y into y
6.972 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x
6.972 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.972 * [taylor]: Taking taylor expansion of x in x
6.972 * [backup-simplify]: Simplify 0 into 0
6.972 * [backup-simplify]: Simplify 1 into 1
6.972 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.972 * [taylor]: Taking taylor expansion of y in x
6.973 * [backup-simplify]: Simplify y into y
6.973 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.973 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
6.973 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4))
6.973 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4))
6.973 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.973 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2))
6.973 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2))
6.973 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2)
6.973 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.973 * [taylor]: Taking taylor expansion of y in y
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify 1 into 1
6.973 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.974 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0
6.974 * [backup-simplify]: Simplify (- 0) into 0
6.975 * [backup-simplify]: Simplify (+ 0 0) into 0
6.975 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.975 * [backup-simplify]: Simplify (- 0) into 0
6.975 * [backup-simplify]: Simplify (+ 0 0) into 0
6.975 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))))) into 0
6.975 * [taylor]: Taking taylor expansion of 0 in y
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.976 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
6.977 * [backup-simplify]: Simplify (- 0) into 0
6.977 * [backup-simplify]: Simplify (+ 0 0) into 0
6.977 * [backup-simplify]: Simplify (* 1 1) into 1
6.977 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.978 * [backup-simplify]: Simplify (- 0) into 0
6.978 * [backup-simplify]: Simplify (+ 1 0) into 1
6.978 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 1 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))))) into 1
6.978 * [taylor]: Taking taylor expansion of 1 in y
6.978 * [backup-simplify]: Simplify 1 into 1
6.978 * [backup-simplify]: Simplify 1 into 1
6.978 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify (* 1 1) into 1
6.979 * [backup-simplify]: Simplify 1 into 1
6.979 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
6.980 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
6.980 * [backup-simplify]: Simplify (- 0) into 0
6.981 * [backup-simplify]: Simplify (+ 0 0) into 0
6.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.982 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
6.982 * [backup-simplify]: Simplify (- 0) into 0
6.982 * [backup-simplify]: Simplify (+ 0 0) into 0
6.983 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))) (* 0 (/ 1 (- (pow y 2)))) (* 1 (/ 0 (- (pow y 2)))))) into 0
6.983 * [taylor]: Taking taylor expansion of 0 in y
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.983 * [backup-simplify]: Simplify 0 into 0
6.984 * [backup-simplify]: Simplify (* 1 1) into 1
6.984 * [backup-simplify]: Simplify (* 1 1) into 1
6.985 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
6.986 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
6.986 * [backup-simplify]: Simplify (- 0) into 0
6.986 * [backup-simplify]: Simplify (+ 1 0) into 1
6.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.989 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
6.989 * [backup-simplify]: Simplify (- 0) into 0
6.990 * [backup-simplify]: Simplify (+ 0 0) into 0
6.991 * [backup-simplify]: Simplify (- (/ 1 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))) (* 1 (/ 1 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))))) into 0
6.991 * [taylor]: Taking taylor expansion of 0 in y
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
6.992 * [backup-simplify]: Simplify (/ (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y)))) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))
6.992 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
6.992 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
6.992 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y
6.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
6.992 * [taylor]: Taking taylor expansion of (pow x 4) in y
6.992 * [taylor]: Taking taylor expansion of x in y
6.992 * [backup-simplify]: Simplify x into x
6.992 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.992 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
6.992 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
6.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
6.992 * [taylor]: Taking taylor expansion of (pow y 4) in y
6.992 * [taylor]: Taking taylor expansion of y in y
6.992 * [backup-simplify]: Simplify 0 into 0
6.992 * [backup-simplify]: Simplify 1 into 1
6.993 * [backup-simplify]: Simplify (* 1 1) into 1
6.993 * [backup-simplify]: Simplify (* 1 1) into 1
6.994 * [backup-simplify]: Simplify (/ 1 1) into 1
6.994 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
6.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.994 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.994 * [taylor]: Taking taylor expansion of x in y
6.994 * [backup-simplify]: Simplify x into x
6.994 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.994 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.994 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.994 * [taylor]: Taking taylor expansion of y in y
6.994 * [backup-simplify]: Simplify 0 into 0
6.994 * [backup-simplify]: Simplify 1 into 1
6.995 * [backup-simplify]: Simplify (* 1 1) into 1
6.995 * [backup-simplify]: Simplify (/ 1 1) into 1
6.996 * [backup-simplify]: Simplify (- 1) into -1
6.996 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.997 * [backup-simplify]: Simplify (- 1) into -1
6.997 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.997 * [backup-simplify]: Simplify (/ -1 -1) into 1
6.997 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
6.997 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
6.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
6.997 * [taylor]: Taking taylor expansion of (pow x 4) in x
6.997 * [taylor]: Taking taylor expansion of x in x
6.997 * [backup-simplify]: Simplify 0 into 0
6.997 * [backup-simplify]: Simplify 1 into 1
6.998 * [backup-simplify]: Simplify (* 1 1) into 1
6.998 * [backup-simplify]: Simplify (* 1 1) into 1
6.999 * [backup-simplify]: Simplify (/ 1 1) into 1
6.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
6.999 * [taylor]: Taking taylor expansion of (pow y 4) in x
6.999 * [taylor]: Taking taylor expansion of y in x
6.999 * [backup-simplify]: Simplify y into y
6.999 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.999 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
6.999 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
6.999 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.999 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.999 * [taylor]: Taking taylor expansion of x in x
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 1 into 1
7.000 * [backup-simplify]: Simplify (* 1 1) into 1
7.000 * [backup-simplify]: Simplify (/ 1 1) into 1
7.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.000 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.000 * [taylor]: Taking taylor expansion of y in x
7.000 * [backup-simplify]: Simplify y into y
7.000 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.001 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.001 * [backup-simplify]: Simplify (+ 1 0) into 1
7.002 * [backup-simplify]: Simplify (+ 1 0) into 1
7.002 * [backup-simplify]: Simplify (/ 1 1) into 1
7.002 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.002 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
7.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.002 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.002 * [taylor]: Taking taylor expansion of x in x
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 1 into 1
7.003 * [backup-simplify]: Simplify (* 1 1) into 1
7.003 * [backup-simplify]: Simplify (* 1 1) into 1
7.003 * [backup-simplify]: Simplify (/ 1 1) into 1
7.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.003 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.003 * [taylor]: Taking taylor expansion of y in x
7.003 * [backup-simplify]: Simplify y into y
7.004 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.004 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.004 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.004 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.004 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.004 * [taylor]: Taking taylor expansion of x in x
7.004 * [backup-simplify]: Simplify 0 into 0
7.004 * [backup-simplify]: Simplify 1 into 1
7.005 * [backup-simplify]: Simplify (* 1 1) into 1
7.005 * [backup-simplify]: Simplify (/ 1 1) into 1
7.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.005 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.005 * [taylor]: Taking taylor expansion of y in x
7.005 * [backup-simplify]: Simplify y into y
7.005 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.005 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.006 * [backup-simplify]: Simplify (+ 1 0) into 1
7.006 * [backup-simplify]: Simplify (+ 1 0) into 1
7.007 * [backup-simplify]: Simplify (/ 1 1) into 1
7.007 * [taylor]: Taking taylor expansion of 1 in y
7.007 * [backup-simplify]: Simplify 1 into 1
7.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.009 * [backup-simplify]: Simplify (+ 0 0) into 0
7.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.012 * [backup-simplify]: Simplify (+ 0 0) into 0
7.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.013 * [taylor]: Taking taylor expansion of 0 in y
7.013 * [backup-simplify]: Simplify 0 into 0
7.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.020 * [backup-simplify]: Simplify (+ 0 0) into 0
7.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.022 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
7.023 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2)))
7.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2))
7.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.024 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.024 * [taylor]: Taking taylor expansion of y in y
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [backup-simplify]: Simplify 1 into 1
7.025 * [backup-simplify]: Simplify (* 1 1) into 1
7.025 * [backup-simplify]: Simplify (/ 1 1) into 1
7.025 * [backup-simplify]: Simplify 1 into 1
7.026 * [backup-simplify]: Simplify 1 into 1
7.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.030 * [backup-simplify]: Simplify (+ 0 0) into 0
7.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.032 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.033 * [backup-simplify]: Simplify (- 0) into 0
7.033 * [backup-simplify]: Simplify (+ 0 0) into 0
7.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0
7.035 * [taylor]: Taking taylor expansion of 0 in y
7.036 * [backup-simplify]: Simplify 0 into 0
7.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.037 * [backup-simplify]: Simplify 0 into 0
7.037 * [backup-simplify]: Simplify 0 into 0
7.037 * [backup-simplify]: Simplify 0 into 0
7.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.042 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4)))
7.042 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4)))
7.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.045 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.046 * [backup-simplify]: Simplify (- 0) into 0
7.047 * [backup-simplify]: Simplify (+ 0 0) into 0
7.049 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0
7.050 * [taylor]: Taking taylor expansion of 0 in y
7.050 * [backup-simplify]: Simplify 0 into 0
7.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
7.054 * [backup-simplify]: Simplify (/ (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y))))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.054 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
7.054 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y
7.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
7.054 * [taylor]: Taking taylor expansion of (pow x 4) in y
7.054 * [taylor]: Taking taylor expansion of x in y
7.054 * [backup-simplify]: Simplify x into x
7.054 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.054 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.054 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.054 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.054 * [taylor]: Taking taylor expansion of y in y
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 1 into 1
7.055 * [backup-simplify]: Simplify (* 1 1) into 1
7.055 * [backup-simplify]: Simplify (* 1 1) into 1
7.056 * [backup-simplify]: Simplify (/ 1 1) into 1
7.056 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.056 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.056 * [taylor]: Taking taylor expansion of x in y
7.056 * [backup-simplify]: Simplify x into x
7.056 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.056 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.056 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.056 * [taylor]: Taking taylor expansion of y in y
7.056 * [backup-simplify]: Simplify 0 into 0
7.056 * [backup-simplify]: Simplify 1 into 1
7.057 * [backup-simplify]: Simplify (* 1 1) into 1
7.057 * [backup-simplify]: Simplify (/ 1 1) into 1
7.058 * [backup-simplify]: Simplify (- 1) into -1
7.058 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.059 * [backup-simplify]: Simplify (- 1) into -1
7.059 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.059 * [backup-simplify]: Simplify (/ -1 -1) into 1
7.059 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
7.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.059 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.060 * [taylor]: Taking taylor expansion of x in x
7.060 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify 1 into 1
7.060 * [backup-simplify]: Simplify (* 1 1) into 1
7.060 * [backup-simplify]: Simplify (* 1 1) into 1
7.061 * [backup-simplify]: Simplify (/ 1 1) into 1
7.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.061 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.061 * [taylor]: Taking taylor expansion of y in x
7.061 * [backup-simplify]: Simplify y into y
7.061 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.061 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.061 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.061 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.061 * [taylor]: Taking taylor expansion of x in x
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [backup-simplify]: Simplify 1 into 1
7.062 * [backup-simplify]: Simplify (* 1 1) into 1
7.062 * [backup-simplify]: Simplify (/ 1 1) into 1
7.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.062 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.063 * [taylor]: Taking taylor expansion of y in x
7.063 * [backup-simplify]: Simplify y into y
7.063 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.063 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.063 * [backup-simplify]: Simplify (+ 1 0) into 1
7.064 * [backup-simplify]: Simplify (+ 1 0) into 1
7.064 * [backup-simplify]: Simplify (/ 1 1) into 1
7.064 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
7.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.064 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.064 * [taylor]: Taking taylor expansion of x in x
7.064 * [backup-simplify]: Simplify 0 into 0
7.064 * [backup-simplify]: Simplify 1 into 1
7.065 * [backup-simplify]: Simplify (* 1 1) into 1
7.065 * [backup-simplify]: Simplify (* 1 1) into 1
7.065 * [backup-simplify]: Simplify (/ 1 1) into 1
7.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.065 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.065 * [taylor]: Taking taylor expansion of y in x
7.065 * [backup-simplify]: Simplify y into y
7.066 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.066 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.066 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.066 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.066 * [taylor]: Taking taylor expansion of x in x
7.066 * [backup-simplify]: Simplify 0 into 0
7.066 * [backup-simplify]: Simplify 1 into 1
7.067 * [backup-simplify]: Simplify (* 1 1) into 1
7.067 * [backup-simplify]: Simplify (/ 1 1) into 1
7.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.067 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.067 * [taylor]: Taking taylor expansion of y in x
7.067 * [backup-simplify]: Simplify y into y
7.067 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.067 * [backup-simplify]: Simplify (+ 1 0) into 1
7.068 * [backup-simplify]: Simplify (+ 1 0) into 1
7.068 * [backup-simplify]: Simplify (/ 1 1) into 1
7.068 * [taylor]: Taking taylor expansion of 1 in y
7.068 * [backup-simplify]: Simplify 1 into 1
7.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.070 * [backup-simplify]: Simplify (+ 0 0) into 0
7.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.071 * [backup-simplify]: Simplify (+ 0 0) into 0
7.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.071 * [taylor]: Taking taylor expansion of 0 in y
7.071 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.073 * [backup-simplify]: Simplify (+ 0 0) into 0
7.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.075 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
7.075 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2)))
7.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2))
7.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.076 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.076 * [taylor]: Taking taylor expansion of y in y
7.076 * [backup-simplify]: Simplify 0 into 0
7.076 * [backup-simplify]: Simplify 1 into 1
7.076 * [backup-simplify]: Simplify (* 1 1) into 1
7.076 * [backup-simplify]: Simplify (/ 1 1) into 1
7.076 * [backup-simplify]: Simplify 1 into 1
7.076 * [backup-simplify]: Simplify 1 into 1
7.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.078 * [backup-simplify]: Simplify (+ 0 0) into 0
7.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.080 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.080 * [backup-simplify]: Simplify (- 0) into 0
7.081 * [backup-simplify]: Simplify (+ 0 0) into 0
7.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0
7.082 * [taylor]: Taking taylor expansion of 0 in y
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.086 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4)))
7.086 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4)))
7.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.088 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.088 * [backup-simplify]: Simplify (- 0) into 0
7.089 * [backup-simplify]: Simplify (+ 0 0) into 0
7.090 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0
7.090 * [taylor]: Taking taylor expansion of 0 in y
7.090 * [backup-simplify]: Simplify 0 into 0
7.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.091 * [backup-simplify]: Simplify 0 into 0
7.091 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
7.092 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
7.092 * [backup-simplify]: Simplify (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))) into (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))))
7.092 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in (x y) around 0
7.092 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in y
7.092 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y
7.092 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y
7.092 * [taylor]: Taking taylor expansion of (pow x 4) in y
7.092 * [taylor]: Taking taylor expansion of x in y
7.092 * [backup-simplify]: Simplify x into x
7.092 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.092 * [taylor]: Taking taylor expansion of y in y
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 1 into 1
7.092 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y
7.092 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.092 * [taylor]: Taking taylor expansion of x in y
7.093 * [backup-simplify]: Simplify x into x
7.093 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.093 * [taylor]: Taking taylor expansion of y in y
7.093 * [backup-simplify]: Simplify 0 into 0
7.093 * [backup-simplify]: Simplify 1 into 1
7.093 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.093 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.093 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4)
7.093 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.093 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.093 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2)
7.093 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.093 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.093 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0
7.094 * [backup-simplify]: Simplify (+ 0 0) into 0
7.094 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.094 * [backup-simplify]: Simplify (+ 0 0) into 0
7.095 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ 0 (pow x 2))))) into 0
7.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.095 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in x
7.095 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x
7.095 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x
7.095 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.095 * [taylor]: Taking taylor expansion of x in x
7.095 * [backup-simplify]: Simplify 0 into 0
7.095 * [backup-simplify]: Simplify 1 into 1
7.095 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.095 * [taylor]: Taking taylor expansion of y in x
7.095 * [backup-simplify]: Simplify y into y
7.095 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x
7.095 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.095 * [taylor]: Taking taylor expansion of x in x
7.095 * [backup-simplify]: Simplify 0 into 0
7.095 * [backup-simplify]: Simplify 1 into 1
7.095 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.095 * [taylor]: Taking taylor expansion of y in x
7.095 * [backup-simplify]: Simplify y into y
7.095 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.096 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.096 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4))
7.096 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4))
7.096 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.096 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2))
7.096 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2))
7.097 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2)
7.097 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.097 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.097 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0
7.098 * [backup-simplify]: Simplify (- 0) into 0
7.098 * [backup-simplify]: Simplify (+ 0 0) into 0
7.099 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.100 * [backup-simplify]: Simplify (- 0) into 0
7.100 * [backup-simplify]: Simplify (+ 0 0) into 0
7.101 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))))) into 0
7.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.101 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in x
7.101 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x
7.101 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x
7.101 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.101 * [taylor]: Taking taylor expansion of x in x
7.101 * [backup-simplify]: Simplify 0 into 0
7.101 * [backup-simplify]: Simplify 1 into 1
7.101 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.101 * [taylor]: Taking taylor expansion of y in x
7.101 * [backup-simplify]: Simplify y into y
7.101 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x
7.101 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.101 * [taylor]: Taking taylor expansion of x in x
7.101 * [backup-simplify]: Simplify 0 into 0
7.101 * [backup-simplify]: Simplify 1 into 1
7.101 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.101 * [taylor]: Taking taylor expansion of y in x
7.101 * [backup-simplify]: Simplify y into y
7.101 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.102 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.102 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4))
7.102 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4))
7.102 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.102 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2))
7.102 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2))
7.103 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2)
7.103 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.103 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0
7.104 * [backup-simplify]: Simplify (- 0) into 0
7.104 * [backup-simplify]: Simplify (+ 0 0) into 0
7.104 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.105 * [backup-simplify]: Simplify (- 0) into 0
7.105 * [backup-simplify]: Simplify (+ 0 0) into 0
7.106 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))))) into 0
7.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.106 * [taylor]: Taking taylor expansion of y in y
7.106 * [backup-simplify]: Simplify 0 into 0
7.106 * [backup-simplify]: Simplify 1 into 1
7.106 * [backup-simplify]: Simplify 0 into 0
7.106 * [taylor]: Taking taylor expansion of 0 in y
7.106 * [backup-simplify]: Simplify 0 into 0
7.106 * [backup-simplify]: Simplify 0 into 0
7.106 * [backup-simplify]: Simplify 1 into 1
7.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.107 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
7.108 * [backup-simplify]: Simplify (- 0) into 0
7.108 * [backup-simplify]: Simplify (+ 0 0) into 0
7.109 * [backup-simplify]: Simplify (* 1 1) into 1
7.109 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.110 * [backup-simplify]: Simplify (- 0) into 0
7.110 * [backup-simplify]: Simplify (+ 1 0) into 1
7.111 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 1 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))))) into 1
7.112 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
7.112 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
7.112 * [taylor]: Taking taylor expansion of 1/2 in y
7.112 * [backup-simplify]: Simplify 1/2 into 1/2
7.112 * [taylor]: Taking taylor expansion of y in y
7.112 * [backup-simplify]: Simplify 0 into 0
7.112 * [backup-simplify]: Simplify 1 into 1
7.112 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.113 * [backup-simplify]: Simplify 0 into 0
7.114 * [backup-simplify]: Simplify 0 into 0
7.114 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.116 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
7.116 * [backup-simplify]: Simplify (- 0) into 0
7.117 * [backup-simplify]: Simplify (+ 0 0) into 0
7.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.118 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.119 * [backup-simplify]: Simplify (- 0) into 0
7.119 * [backup-simplify]: Simplify (+ 0 0) into 0
7.120 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))) (* 0 (/ 1 (- (pow y 2)))) (* 1 (/ 0 (- (pow y 2)))))) into 0
7.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
7.120 * [taylor]: Taking taylor expansion of 0 in y
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.122 * [backup-simplify]: Simplify 0 into 0
7.122 * [backup-simplify]: Simplify 0 into 0
7.122 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
7.122 * [backup-simplify]: Simplify (sqrt (/ (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y)))) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
7.123 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0
7.123 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
7.123 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.123 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y
7.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
7.123 * [taylor]: Taking taylor expansion of (pow x 4) in y
7.123 * [taylor]: Taking taylor expansion of x in y
7.123 * [backup-simplify]: Simplify x into x
7.123 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.123 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.123 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.123 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.123 * [taylor]: Taking taylor expansion of y in y
7.123 * [backup-simplify]: Simplify 0 into 0
7.123 * [backup-simplify]: Simplify 1 into 1
7.124 * [backup-simplify]: Simplify (* 1 1) into 1
7.124 * [backup-simplify]: Simplify (* 1 1) into 1
7.125 * [backup-simplify]: Simplify (/ 1 1) into 1
7.125 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.125 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.125 * [taylor]: Taking taylor expansion of x in y
7.125 * [backup-simplify]: Simplify x into x
7.125 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.125 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.125 * [taylor]: Taking taylor expansion of y in y
7.125 * [backup-simplify]: Simplify 0 into 0
7.125 * [backup-simplify]: Simplify 1 into 1
7.126 * [backup-simplify]: Simplify (* 1 1) into 1
7.126 * [backup-simplify]: Simplify (/ 1 1) into 1
7.127 * [backup-simplify]: Simplify (- 1) into -1
7.127 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.127 * [backup-simplify]: Simplify (- 1) into -1
7.128 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.128 * [backup-simplify]: Simplify (/ -1 -1) into 1
7.129 * [backup-simplify]: Simplify (sqrt 1) into 1
7.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.131 * [backup-simplify]: Simplify (- 0) into 0
7.132 * [backup-simplify]: Simplify (+ 0 0) into 0
7.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.134 * [backup-simplify]: Simplify (- 0) into 0
7.134 * [backup-simplify]: Simplify (+ 0 0) into 0
7.135 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0
7.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.136 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
7.136 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.136 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
7.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.136 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.136 * [taylor]: Taking taylor expansion of x in x
7.136 * [backup-simplify]: Simplify 0 into 0
7.136 * [backup-simplify]: Simplify 1 into 1
7.137 * [backup-simplify]: Simplify (* 1 1) into 1
7.137 * [backup-simplify]: Simplify (* 1 1) into 1
7.138 * [backup-simplify]: Simplify (/ 1 1) into 1
7.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.138 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.138 * [taylor]: Taking taylor expansion of y in x
7.138 * [backup-simplify]: Simplify y into y
7.138 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.138 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.138 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.138 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.138 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.138 * [taylor]: Taking taylor expansion of x in x
7.138 * [backup-simplify]: Simplify 0 into 0
7.138 * [backup-simplify]: Simplify 1 into 1
7.139 * [backup-simplify]: Simplify (* 1 1) into 1
7.139 * [backup-simplify]: Simplify (/ 1 1) into 1
7.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.139 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.139 * [taylor]: Taking taylor expansion of y in x
7.140 * [backup-simplify]: Simplify y into y
7.140 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.140 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.140 * [backup-simplify]: Simplify (+ 1 0) into 1
7.141 * [backup-simplify]: Simplify (+ 1 0) into 1
7.141 * [backup-simplify]: Simplify (/ 1 1) into 1
7.142 * [backup-simplify]: Simplify (sqrt 1) into 1
7.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.143 * [backup-simplify]: Simplify (+ 0 0) into 0
7.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.145 * [backup-simplify]: Simplify (+ 0 0) into 0
7.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.146 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
7.146 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
7.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.146 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.146 * [taylor]: Taking taylor expansion of x in x
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 1 into 1
7.146 * [backup-simplify]: Simplify (* 1 1) into 1
7.146 * [backup-simplify]: Simplify (* 1 1) into 1
7.147 * [backup-simplify]: Simplify (/ 1 1) into 1
7.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.147 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.147 * [taylor]: Taking taylor expansion of y in x
7.147 * [backup-simplify]: Simplify y into y
7.147 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.147 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.147 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.147 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.147 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.147 * [taylor]: Taking taylor expansion of x in x
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify 1 into 1
7.147 * [backup-simplify]: Simplify (* 1 1) into 1
7.148 * [backup-simplify]: Simplify (/ 1 1) into 1
7.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.148 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.148 * [taylor]: Taking taylor expansion of y in x
7.148 * [backup-simplify]: Simplify y into y
7.148 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.148 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.148 * [backup-simplify]: Simplify (+ 1 0) into 1
7.148 * [backup-simplify]: Simplify (+ 1 0) into 1
7.149 * [backup-simplify]: Simplify (/ 1 1) into 1
7.149 * [backup-simplify]: Simplify (sqrt 1) into 1
7.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.151 * [backup-simplify]: Simplify (+ 0 0) into 0
7.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.152 * [backup-simplify]: Simplify (+ 0 0) into 0
7.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.153 * [taylor]: Taking taylor expansion of 1 in y
7.153 * [backup-simplify]: Simplify 1 into 1
7.153 * [taylor]: Taking taylor expansion of 0 in y
7.153 * [backup-simplify]: Simplify 0 into 0
7.153 * [backup-simplify]: Simplify 1 into 1
7.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.155 * [backup-simplify]: Simplify (+ 0 0) into 0
7.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.156 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
7.156 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2)))
7.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2))
7.158 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
7.158 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
7.158 * [taylor]: Taking taylor expansion of 1/2 in y
7.158 * [backup-simplify]: Simplify 1/2 into 1/2
7.158 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.158 * [taylor]: Taking taylor expansion of y in y
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 1 into 1
7.158 * [backup-simplify]: Simplify (* 1 1) into 1
7.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.166 * [backup-simplify]: Simplify (+ 0 0) into 0
7.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.168 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.168 * [backup-simplify]: Simplify (- 0) into 0
7.169 * [backup-simplify]: Simplify (+ 0 0) into 0
7.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0
7.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
7.170 * [taylor]: Taking taylor expansion of 0 in y
7.171 * [backup-simplify]: Simplify 0 into 0
7.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.173 * [backup-simplify]: Simplify 0 into 0
7.173 * [backup-simplify]: Simplify 0 into 0
7.173 * [backup-simplify]: Simplify 0 into 0
7.173 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.174 * [backup-simplify]: Simplify (sqrt (/ (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y))))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
7.174 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0
7.174 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
7.174 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.174 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y
7.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
7.174 * [taylor]: Taking taylor expansion of (pow x 4) in y
7.174 * [taylor]: Taking taylor expansion of x in y
7.174 * [backup-simplify]: Simplify x into x
7.175 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.175 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.175 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.175 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.175 * [taylor]: Taking taylor expansion of y in y
7.175 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify 1 into 1
7.176 * [backup-simplify]: Simplify (* 1 1) into 1
7.176 * [backup-simplify]: Simplify (* 1 1) into 1
7.177 * [backup-simplify]: Simplify (/ 1 1) into 1
7.177 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.177 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.177 * [taylor]: Taking taylor expansion of x in y
7.177 * [backup-simplify]: Simplify x into x
7.177 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.177 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.177 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.177 * [taylor]: Taking taylor expansion of y in y
7.177 * [backup-simplify]: Simplify 0 into 0
7.177 * [backup-simplify]: Simplify 1 into 1
7.178 * [backup-simplify]: Simplify (* 1 1) into 1
7.178 * [backup-simplify]: Simplify (/ 1 1) into 1
7.179 * [backup-simplify]: Simplify (- 1) into -1
7.179 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.180 * [backup-simplify]: Simplify (- 1) into -1
7.180 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.181 * [backup-simplify]: Simplify (/ -1 -1) into 1
7.181 * [backup-simplify]: Simplify (sqrt 1) into 1
7.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.184 * [backup-simplify]: Simplify (- 0) into 0
7.184 * [backup-simplify]: Simplify (+ 0 0) into 0
7.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.187 * [backup-simplify]: Simplify (- 0) into 0
7.187 * [backup-simplify]: Simplify (+ 0 0) into 0
7.188 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0
7.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.189 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
7.189 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.189 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
7.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.189 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.189 * [taylor]: Taking taylor expansion of x in x
7.189 * [backup-simplify]: Simplify 0 into 0
7.189 * [backup-simplify]: Simplify 1 into 1
7.190 * [backup-simplify]: Simplify (* 1 1) into 1
7.190 * [backup-simplify]: Simplify (* 1 1) into 1
7.190 * [backup-simplify]: Simplify (/ 1 1) into 1
7.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.190 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.190 * [taylor]: Taking taylor expansion of y in x
7.191 * [backup-simplify]: Simplify y into y
7.191 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.191 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.191 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.191 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.191 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.191 * [taylor]: Taking taylor expansion of x in x
7.191 * [backup-simplify]: Simplify 0 into 0
7.191 * [backup-simplify]: Simplify 1 into 1
7.192 * [backup-simplify]: Simplify (* 1 1) into 1
7.192 * [backup-simplify]: Simplify (/ 1 1) into 1
7.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.192 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.192 * [taylor]: Taking taylor expansion of y in x
7.192 * [backup-simplify]: Simplify y into y
7.192 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.193 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.193 * [backup-simplify]: Simplify (+ 1 0) into 1
7.194 * [backup-simplify]: Simplify (+ 1 0) into 1
7.194 * [backup-simplify]: Simplify (/ 1 1) into 1
7.195 * [backup-simplify]: Simplify (sqrt 1) into 1
7.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.197 * [backup-simplify]: Simplify (+ 0 0) into 0
7.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.199 * [backup-simplify]: Simplify (+ 0 0) into 0
7.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.201 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
7.201 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.201 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
7.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.201 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.201 * [taylor]: Taking taylor expansion of x in x
7.201 * [backup-simplify]: Simplify 0 into 0
7.201 * [backup-simplify]: Simplify 1 into 1
7.202 * [backup-simplify]: Simplify (* 1 1) into 1
7.202 * [backup-simplify]: Simplify (* 1 1) into 1
7.203 * [backup-simplify]: Simplify (/ 1 1) into 1
7.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.203 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.203 * [taylor]: Taking taylor expansion of y in x
7.203 * [backup-simplify]: Simplify y into y
7.203 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.203 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.203 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.203 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.204 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.204 * [taylor]: Taking taylor expansion of x in x
7.204 * [backup-simplify]: Simplify 0 into 0
7.204 * [backup-simplify]: Simplify 1 into 1
7.204 * [backup-simplify]: Simplify (* 1 1) into 1
7.205 * [backup-simplify]: Simplify (/ 1 1) into 1
7.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.205 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.205 * [taylor]: Taking taylor expansion of y in x
7.205 * [backup-simplify]: Simplify y into y
7.205 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.205 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.206 * [backup-simplify]: Simplify (+ 1 0) into 1
7.206 * [backup-simplify]: Simplify (+ 1 0) into 1
7.207 * [backup-simplify]: Simplify (/ 1 1) into 1
7.207 * [backup-simplify]: Simplify (sqrt 1) into 1
7.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.210 * [backup-simplify]: Simplify (+ 0 0) into 0
7.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.212 * [backup-simplify]: Simplify (+ 0 0) into 0
7.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.214 * [taylor]: Taking taylor expansion of 1 in y
7.214 * [backup-simplify]: Simplify 1 into 1
7.214 * [taylor]: Taking taylor expansion of 0 in y
7.214 * [backup-simplify]: Simplify 0 into 0
7.214 * [backup-simplify]: Simplify 1 into 1
7.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.218 * [backup-simplify]: Simplify (+ 0 0) into 0
7.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.221 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
7.221 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2)))
7.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2))
7.224 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
7.225 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
7.225 * [taylor]: Taking taylor expansion of 1/2 in y
7.225 * [backup-simplify]: Simplify 1/2 into 1/2
7.225 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.225 * [taylor]: Taking taylor expansion of y in y
7.225 * [backup-simplify]: Simplify 0 into 0
7.225 * [backup-simplify]: Simplify 1 into 1
7.225 * [backup-simplify]: Simplify (* 1 1) into 1
7.226 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify 0 into 0
7.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.232 * [backup-simplify]: Simplify (+ 0 0) into 0
7.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.234 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.235 * [backup-simplify]: Simplify (- 0) into 0
7.236 * [backup-simplify]: Simplify (+ 0 0) into 0
7.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0
7.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
7.239 * [taylor]: Taking taylor expansion of 0 in y
7.239 * [backup-simplify]: Simplify 0 into 0
7.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.241 * [backup-simplify]: Simplify 0 into 0
7.241 * [backup-simplify]: Simplify 0 into 0
7.241 * [backup-simplify]: Simplify 0 into 0
7.241 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.241 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
7.242 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
7.242 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
7.242 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
7.242 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
7.242 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.242 * [taylor]: Taking taylor expansion of y in y
7.242 * [backup-simplify]: Simplify 0 into 0
7.242 * [backup-simplify]: Simplify 1 into 1
7.242 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.242 * [taylor]: Taking taylor expansion of x in y
7.242 * [backup-simplify]: Simplify x into x
7.242 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.242 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
7.242 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.242 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.243 * [backup-simplify]: Simplify (+ 0 0) into 0
7.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
7.243 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
7.243 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.243 * [taylor]: Taking taylor expansion of y in x
7.243 * [backup-simplify]: Simplify y into y
7.243 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.243 * [taylor]: Taking taylor expansion of x in x
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 1 into 1
7.243 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.243 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.243 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.243 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.244 * [backup-simplify]: Simplify (+ 0 0) into 0
7.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
7.244 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
7.244 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.244 * [taylor]: Taking taylor expansion of y in x
7.244 * [backup-simplify]: Simplify y into y
7.244 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.244 * [taylor]: Taking taylor expansion of x in x
7.244 * [backup-simplify]: Simplify 0 into 0
7.244 * [backup-simplify]: Simplify 1 into 1
7.244 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.244 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.244 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.244 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.245 * [backup-simplify]: Simplify (+ 0 0) into 0
7.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.245 * [taylor]: Taking taylor expansion of y in y
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify 1 into 1
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [taylor]: Taking taylor expansion of 0 in y
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify 1 into 1
7.245 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.246 * [backup-simplify]: Simplify (* 1 1) into 1
7.246 * [backup-simplify]: Simplify (+ 0 1) into 1
7.246 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
7.246 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
7.246 * [taylor]: Taking taylor expansion of 1/2 in y
7.246 * [backup-simplify]: Simplify 1/2 into 1/2
7.246 * [taylor]: Taking taylor expansion of y in y
7.246 * [backup-simplify]: Simplify 0 into 0
7.247 * [backup-simplify]: Simplify 1 into 1
7.247 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.247 * [backup-simplify]: Simplify 0 into 0
7.247 * [backup-simplify]: Simplify 0 into 0
7.247 * [backup-simplify]: Simplify 0 into 0
7.248 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.249 * [backup-simplify]: Simplify (+ 0 0) into 0
7.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
7.249 * [taylor]: Taking taylor expansion of 0 in y
7.249 * [backup-simplify]: Simplify 0 into 0
7.249 * [backup-simplify]: Simplify 0 into 0
7.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.250 * [backup-simplify]: Simplify 0 into 0
7.250 * [backup-simplify]: Simplify 0 into 0
7.250 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
7.250 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
7.250 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
7.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
7.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
7.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.250 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.250 * [taylor]: Taking taylor expansion of y in y
7.250 * [backup-simplify]: Simplify 0 into 0
7.250 * [backup-simplify]: Simplify 1 into 1
7.250 * [backup-simplify]: Simplify (* 1 1) into 1
7.251 * [backup-simplify]: Simplify (/ 1 1) into 1
7.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.251 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.251 * [taylor]: Taking taylor expansion of x in y
7.251 * [backup-simplify]: Simplify x into x
7.251 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.251 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.251 * [backup-simplify]: Simplify (+ 1 0) into 1
7.251 * [backup-simplify]: Simplify (sqrt 1) into 1
7.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.253 * [backup-simplify]: Simplify (+ 0 0) into 0
7.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.253 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.253 * [taylor]: Taking taylor expansion of y in x
7.253 * [backup-simplify]: Simplify y into y
7.253 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.253 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.253 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.253 * [taylor]: Taking taylor expansion of x in x
7.253 * [backup-simplify]: Simplify 0 into 0
7.253 * [backup-simplify]: Simplify 1 into 1
7.254 * [backup-simplify]: Simplify (* 1 1) into 1
7.254 * [backup-simplify]: Simplify (/ 1 1) into 1
7.254 * [backup-simplify]: Simplify (+ 0 1) into 1
7.254 * [backup-simplify]: Simplify (sqrt 1) into 1
7.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.256 * [backup-simplify]: Simplify (+ 0 0) into 0
7.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.256 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.256 * [taylor]: Taking taylor expansion of y in x
7.256 * [backup-simplify]: Simplify y into y
7.256 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.256 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.256 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.256 * [taylor]: Taking taylor expansion of x in x
7.256 * [backup-simplify]: Simplify 0 into 0
7.256 * [backup-simplify]: Simplify 1 into 1
7.257 * [backup-simplify]: Simplify (* 1 1) into 1
7.257 * [backup-simplify]: Simplify (/ 1 1) into 1
7.257 * [backup-simplify]: Simplify (+ 0 1) into 1
7.257 * [backup-simplify]: Simplify (sqrt 1) into 1
7.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.259 * [backup-simplify]: Simplify (+ 0 0) into 0
7.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.259 * [taylor]: Taking taylor expansion of 1 in y
7.259 * [backup-simplify]: Simplify 1 into 1
7.259 * [taylor]: Taking taylor expansion of 0 in y
7.259 * [backup-simplify]: Simplify 0 into 0
7.259 * [backup-simplify]: Simplify 1 into 1
7.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.261 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
7.262 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
7.262 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
7.262 * [taylor]: Taking taylor expansion of 1/2 in y
7.262 * [backup-simplify]: Simplify 1/2 into 1/2
7.262 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.262 * [taylor]: Taking taylor expansion of y in y
7.262 * [backup-simplify]: Simplify 0 into 0
7.262 * [backup-simplify]: Simplify 1 into 1
7.262 * [backup-simplify]: Simplify (* 1 1) into 1
7.262 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.263 * [backup-simplify]: Simplify 0 into 0
7.263 * [backup-simplify]: Simplify 0 into 0
7.263 * [backup-simplify]: Simplify 0 into 0
7.264 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.265 * [backup-simplify]: Simplify (+ 0 0) into 0
7.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
7.266 * [taylor]: Taking taylor expansion of 0 in y
7.266 * [backup-simplify]: Simplify 0 into 0
7.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.267 * [backup-simplify]: Simplify 0 into 0
7.267 * [backup-simplify]: Simplify 0 into 0
7.267 * [backup-simplify]: Simplify 0 into 0
7.267 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.268 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
7.268 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
7.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
7.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
7.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.268 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.268 * [taylor]: Taking taylor expansion of y in y
7.268 * [backup-simplify]: Simplify 0 into 0
7.268 * [backup-simplify]: Simplify 1 into 1
7.268 * [backup-simplify]: Simplify (* 1 1) into 1
7.268 * [backup-simplify]: Simplify (/ 1 1) into 1
7.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.268 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.268 * [taylor]: Taking taylor expansion of x in y
7.268 * [backup-simplify]: Simplify x into x
7.269 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.269 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.269 * [backup-simplify]: Simplify (+ 1 0) into 1
7.269 * [backup-simplify]: Simplify (sqrt 1) into 1
7.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.271 * [backup-simplify]: Simplify (+ 0 0) into 0
7.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.272 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.272 * [taylor]: Taking taylor expansion of y in x
7.272 * [backup-simplify]: Simplify y into y
7.272 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.272 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.272 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.272 * [taylor]: Taking taylor expansion of x in x
7.272 * [backup-simplify]: Simplify 0 into 0
7.272 * [backup-simplify]: Simplify 1 into 1
7.273 * [backup-simplify]: Simplify (* 1 1) into 1
7.273 * [backup-simplify]: Simplify (/ 1 1) into 1
7.274 * [backup-simplify]: Simplify (+ 0 1) into 1
7.274 * [backup-simplify]: Simplify (sqrt 1) into 1
7.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.276 * [backup-simplify]: Simplify (+ 0 0) into 0
7.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.277 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.277 * [taylor]: Taking taylor expansion of y in x
7.277 * [backup-simplify]: Simplify y into y
7.277 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.277 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.277 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.277 * [taylor]: Taking taylor expansion of x in x
7.277 * [backup-simplify]: Simplify 0 into 0
7.278 * [backup-simplify]: Simplify 1 into 1
7.278 * [backup-simplify]: Simplify (* 1 1) into 1
7.279 * [backup-simplify]: Simplify (/ 1 1) into 1
7.279 * [backup-simplify]: Simplify (+ 0 1) into 1
7.279 * [backup-simplify]: Simplify (sqrt 1) into 1
7.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.281 * [backup-simplify]: Simplify (+ 0 0) into 0
7.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.282 * [taylor]: Taking taylor expansion of 1 in y
7.282 * [backup-simplify]: Simplify 1 into 1
7.282 * [taylor]: Taking taylor expansion of 0 in y
7.282 * [backup-simplify]: Simplify 0 into 0
7.282 * [backup-simplify]: Simplify 1 into 1
7.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.285 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
7.286 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
7.286 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
7.287 * [taylor]: Taking taylor expansion of 1/2 in y
7.287 * [backup-simplify]: Simplify 1/2 into 1/2
7.287 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.287 * [taylor]: Taking taylor expansion of y in y
7.287 * [backup-simplify]: Simplify 0 into 0
7.287 * [backup-simplify]: Simplify 1 into 1
7.287 * [backup-simplify]: Simplify (* 1 1) into 1
7.288 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.289 * [backup-simplify]: Simplify 0 into 0
7.290 * [backup-simplify]: Simplify 0 into 0
7.290 * [backup-simplify]: Simplify 0 into 0
7.290 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.293 * [backup-simplify]: Simplify (+ 0 0) into 0
7.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
7.294 * [taylor]: Taking taylor expansion of 0 in y
7.294 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.296 * [backup-simplify]: Simplify 0 into 0
7.296 * [backup-simplify]: Simplify 0 into 0
7.297 * [backup-simplify]: Simplify 0 into 0
7.297 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.297 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
7.297 * [backup-simplify]: Simplify (- (* (* x x) (* x x)) (* (* y y) (* y y))) into (- (pow x 4) (pow y 4))
7.297 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0
7.297 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y
7.297 * [taylor]: Taking taylor expansion of (pow x 4) in y
7.297 * [taylor]: Taking taylor expansion of x in y
7.297 * [backup-simplify]: Simplify x into x
7.297 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.297 * [taylor]: Taking taylor expansion of y in y
7.297 * [backup-simplify]: Simplify 0 into 0
7.297 * [backup-simplify]: Simplify 1 into 1
7.297 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x
7.297 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.297 * [taylor]: Taking taylor expansion of x in x
7.298 * [backup-simplify]: Simplify 0 into 0
7.298 * [backup-simplify]: Simplify 1 into 1
7.298 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.298 * [taylor]: Taking taylor expansion of y in x
7.298 * [backup-simplify]: Simplify y into y
7.298 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x
7.298 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.298 * [taylor]: Taking taylor expansion of x in x
7.298 * [backup-simplify]: Simplify 0 into 0
7.298 * [backup-simplify]: Simplify 1 into 1
7.298 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.298 * [taylor]: Taking taylor expansion of y in x
7.298 * [backup-simplify]: Simplify y into y
7.298 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.298 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.298 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4))
7.299 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4))
7.299 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y
7.299 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.299 * [taylor]: Taking taylor expansion of y in y
7.299 * [backup-simplify]: Simplify 0 into 0
7.299 * [backup-simplify]: Simplify 1 into 1
7.299 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.299 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0
7.300 * [backup-simplify]: Simplify (- 0) into 0
7.300 * [backup-simplify]: Simplify (+ 0 0) into 0
7.300 * [taylor]: Taking taylor expansion of 0 in y
7.300 * [backup-simplify]: Simplify 0 into 0
7.300 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.302 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
7.302 * [backup-simplify]: Simplify (- 0) into 0
7.303 * [backup-simplify]: Simplify (+ 0 0) into 0
7.303 * [taylor]: Taking taylor expansion of 0 in y
7.303 * [backup-simplify]: Simplify 0 into 0
7.303 * [backup-simplify]: Simplify 0 into 0
7.303 * [backup-simplify]: Simplify 0 into 0
7.304 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.305 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
7.305 * [backup-simplify]: Simplify (- 0) into 0
7.306 * [backup-simplify]: Simplify (+ 0 0) into 0
7.306 * [taylor]: Taking taylor expansion of 0 in y
7.306 * [backup-simplify]: Simplify 0 into 0
7.306 * [backup-simplify]: Simplify 0 into 0
7.306 * [backup-simplify]: Simplify 0 into 0
7.306 * [backup-simplify]: Simplify 0 into 0
7.306 * [backup-simplify]: Simplify 0 into 0
7.307 * [backup-simplify]: Simplify (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))
7.307 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0
7.307 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y
7.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
7.307 * [taylor]: Taking taylor expansion of (pow x 4) in y
7.307 * [taylor]: Taking taylor expansion of x in y
7.307 * [backup-simplify]: Simplify x into x
7.307 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.307 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.307 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.307 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.307 * [taylor]: Taking taylor expansion of y in y
7.307 * [backup-simplify]: Simplify 0 into 0
7.307 * [backup-simplify]: Simplify 1 into 1
7.308 * [backup-simplify]: Simplify (* 1 1) into 1
7.308 * [backup-simplify]: Simplify (* 1 1) into 1
7.309 * [backup-simplify]: Simplify (/ 1 1) into 1
7.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
7.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.309 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.309 * [taylor]: Taking taylor expansion of x in x
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 1 into 1
7.309 * [backup-simplify]: Simplify (* 1 1) into 1
7.310 * [backup-simplify]: Simplify (* 1 1) into 1
7.310 * [backup-simplify]: Simplify (/ 1 1) into 1
7.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.310 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.310 * [taylor]: Taking taylor expansion of y in x
7.310 * [backup-simplify]: Simplify y into y
7.311 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.311 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.311 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.311 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
7.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.311 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.311 * [taylor]: Taking taylor expansion of x in x
7.311 * [backup-simplify]: Simplify 0 into 0
7.311 * [backup-simplify]: Simplify 1 into 1
7.312 * [backup-simplify]: Simplify (* 1 1) into 1
7.312 * [backup-simplify]: Simplify (* 1 1) into 1
7.312 * [backup-simplify]: Simplify (/ 1 1) into 1
7.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.313 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.313 * [taylor]: Taking taylor expansion of y in x
7.313 * [backup-simplify]: Simplify y into y
7.313 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.313 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.313 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.319 * [backup-simplify]: Simplify (+ 1 0) into 1
7.319 * [taylor]: Taking taylor expansion of 1 in y
7.319 * [backup-simplify]: Simplify 1 into 1
7.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.323 * [backup-simplify]: Simplify (+ 0 0) into 0
7.323 * [taylor]: Taking taylor expansion of 0 in y
7.323 * [backup-simplify]: Simplify 0 into 0
7.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.327 * [backup-simplify]: Simplify (+ 0 0) into 0
7.327 * [taylor]: Taking taylor expansion of 0 in y
7.327 * [backup-simplify]: Simplify 0 into 0
7.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.331 * [backup-simplify]: Simplify (+ 0 0) into 0
7.331 * [taylor]: Taking taylor expansion of 0 in y
7.331 * [backup-simplify]: Simplify 0 into 0
7.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.335 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4)))
7.335 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4)))
7.336 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
7.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.336 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.336 * [taylor]: Taking taylor expansion of y in y
7.336 * [backup-simplify]: Simplify 0 into 0
7.336 * [backup-simplify]: Simplify 1 into 1
7.336 * [backup-simplify]: Simplify (* 1 1) into 1
7.337 * [backup-simplify]: Simplify (* 1 1) into 1
7.337 * [backup-simplify]: Simplify (/ 1 1) into 1
7.337 * [backup-simplify]: Simplify (- 1) into -1
7.338 * [backup-simplify]: Simplify -1 into -1
7.338 * [backup-simplify]: Simplify 1 into 1
7.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.342 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.342 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0
7.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0
7.343 * [backup-simplify]: Simplify (- 0) into 0
7.344 * [backup-simplify]: Simplify (+ 0 0) into 0
7.344 * [taylor]: Taking taylor expansion of 0 in y
7.344 * [backup-simplify]: Simplify 0 into 0
7.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.347 * [backup-simplify]: Simplify (- 0) into 0
7.347 * [backup-simplify]: Simplify 0 into 0
7.347 * [backup-simplify]: Simplify 0 into 0
7.347 * [backup-simplify]: Simplify 0 into 0
7.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.352 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.353 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
7.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0
7.354 * [backup-simplify]: Simplify (- 0) into 0
7.354 * [backup-simplify]: Simplify (+ 0 0) into 0
7.354 * [taylor]: Taking taylor expansion of 0 in y
7.355 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.358 * [backup-simplify]: Simplify (- 0) into 0
7.358 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify 0 into 0
7.359 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4))
7.360 * [backup-simplify]: Simplify (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y))))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))
7.360 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0
7.360 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y
7.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
7.360 * [taylor]: Taking taylor expansion of (pow x 4) in y
7.360 * [taylor]: Taking taylor expansion of x in y
7.360 * [backup-simplify]: Simplify x into x
7.360 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.360 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.360 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.360 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.360 * [taylor]: Taking taylor expansion of y in y
7.360 * [backup-simplify]: Simplify 0 into 0
7.360 * [backup-simplify]: Simplify 1 into 1
7.361 * [backup-simplify]: Simplify (* 1 1) into 1
7.362 * [backup-simplify]: Simplify (* 1 1) into 1
7.362 * [backup-simplify]: Simplify (/ 1 1) into 1
7.362 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
7.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.362 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.362 * [taylor]: Taking taylor expansion of x in x
7.362 * [backup-simplify]: Simplify 0 into 0
7.362 * [backup-simplify]: Simplify 1 into 1
7.363 * [backup-simplify]: Simplify (* 1 1) into 1
7.363 * [backup-simplify]: Simplify (* 1 1) into 1
7.363 * [backup-simplify]: Simplify (/ 1 1) into 1
7.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.363 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.364 * [taylor]: Taking taylor expansion of y in x
7.364 * [backup-simplify]: Simplify y into y
7.364 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.364 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.364 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x
7.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.364 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.364 * [taylor]: Taking taylor expansion of x in x
7.364 * [backup-simplify]: Simplify 0 into 0
7.364 * [backup-simplify]: Simplify 1 into 1
7.365 * [backup-simplify]: Simplify (* 1 1) into 1
7.365 * [backup-simplify]: Simplify (* 1 1) into 1
7.366 * [backup-simplify]: Simplify (/ 1 1) into 1
7.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.366 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.366 * [taylor]: Taking taylor expansion of y in x
7.366 * [backup-simplify]: Simplify y into y
7.366 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.366 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.366 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.367 * [backup-simplify]: Simplify (+ 1 0) into 1
7.367 * [taylor]: Taking taylor expansion of 1 in y
7.367 * [backup-simplify]: Simplify 1 into 1
7.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.370 * [backup-simplify]: Simplify (+ 0 0) into 0
7.370 * [taylor]: Taking taylor expansion of 0 in y
7.370 * [backup-simplify]: Simplify 0 into 0
7.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.374 * [backup-simplify]: Simplify (+ 0 0) into 0
7.375 * [taylor]: Taking taylor expansion of 0 in y
7.375 * [backup-simplify]: Simplify 0 into 0
7.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.379 * [backup-simplify]: Simplify (+ 0 0) into 0
7.379 * [taylor]: Taking taylor expansion of 0 in y
7.379 * [backup-simplify]: Simplify 0 into 0
7.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.383 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4)))
7.384 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4)))
7.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
7.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.384 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.384 * [taylor]: Taking taylor expansion of y in y
7.384 * [backup-simplify]: Simplify 0 into 0
7.384 * [backup-simplify]: Simplify 1 into 1
7.384 * [backup-simplify]: Simplify (* 1 1) into 1
7.385 * [backup-simplify]: Simplify (* 1 1) into 1
7.385 * [backup-simplify]: Simplify (/ 1 1) into 1
7.386 * [backup-simplify]: Simplify (- 1) into -1
7.386 * [backup-simplify]: Simplify -1 into -1
7.386 * [backup-simplify]: Simplify 1 into 1
7.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.390 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.390 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0
7.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0
7.391 * [backup-simplify]: Simplify (- 0) into 0
7.392 * [backup-simplify]: Simplify (+ 0 0) into 0
7.392 * [taylor]: Taking taylor expansion of 0 in y
7.392 * [backup-simplify]: Simplify 0 into 0
7.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.395 * [backup-simplify]: Simplify (- 0) into 0
7.395 * [backup-simplify]: Simplify 0 into 0
7.395 * [backup-simplify]: Simplify 0 into 0
7.395 * [backup-simplify]: Simplify 0 into 0
7.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.399 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.400 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
7.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0
7.400 * [backup-simplify]: Simplify (- 0) into 0
7.400 * [backup-simplify]: Simplify (+ 0 0) into 0
7.400 * [taylor]: Taking taylor expansion of 0 in y
7.400 * [backup-simplify]: Simplify 0 into 0
7.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.402 * [backup-simplify]: Simplify (- 0) into 0
7.402 * [backup-simplify]: Simplify 0 into 0
7.403 * [backup-simplify]: Simplify 0 into 0
7.403 * [backup-simplify]: Simplify 0 into 0
7.403 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4))
7.403 * * * [progress]: simplifying candidates
7.405 * [simplify]: Simplifying:
  (- (log (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (log (- (* x x) (* y y))))
  (log (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))
  (exp (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))
  (/ (* (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))
  (* (cbrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))) (cbrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))))
  (cbrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))
  (* (* (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))) (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))) (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))
  (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))
  (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))
  (- (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (- (- (* x x) (* y y)))
  (/ (* (* x x) (* x x)) (- (* x x) (* y y)))
  (/ (* (* y y) (* y y)) (- (* x x) (* y y)))
  (/ (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))))
  (/ (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))))
  (/ (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (- (* x x) (* y y))))
  (/ (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))))
  (/ (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) 1)
  (/ (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y)))
  (/ (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (+ x y))
  (/ (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- x y))
  (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))))
  (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))))
  (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))))
  (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))))
  (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 1)
  (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y)))
  (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (+ x y))
  (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- x y))
  (/ 1 (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))))
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (cbrt (- (* x x) (* y y))))
  (/ 1 (sqrt (- (* x x) (* y y))))
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (sqrt (- (* x x) (* y y))))
  (/ 1 1)
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))
  (/ 1 (+ x y))
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- x y))
  (/ (+ (* x x) (* y y)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))))
  (/ (- (* x x) (* y y)) (cbrt (- (* x x) (* y y))))
  (/ (+ (* x x) (* y y)) (sqrt (- (* x x) (* y y))))
  (/ (- (* x x) (* y y)) (sqrt (- (* x x) (* y y))))
  (/ (+ (* x x) (* y y)) 1)
  (/ (- (* x x) (* y y)) (- (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ (- (* x x) (* y y)) (- x y))
  (/ 1 (- (* x x) (* y y)))
  (/ (- (* x x) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))))
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (sqrt (- (* x x) (* y y))))
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) 1)
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ x y))
  (/ (- (* x x) (* y y)) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (/ (- (* x x) (* y y)) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (/ (- (* x x) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (/ (- (* x x) (* y y)) (- (* x x) (* y y)))
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)))
  (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (* (- (* x x) (* y y)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* (* (* y y) (* y y)) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (- (* x x) (* y y)) (+ (* (* x x) (* x x)) (* (* y y) (* y y))))
  (log (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))))
  (exp (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))))
  (* (cbrt (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))) (cbrt (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))))
  (cbrt (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))))
  (* (* (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))) (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))) (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))))
  (sqrt (* (cbrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))) (cbrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))))
  (sqrt (cbrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))))
  (sqrt (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))))
  (sqrt (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))))
  (sqrt (/ (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))))
  (sqrt (/ (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y)))))
  (sqrt (/ (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (- (* x x) (* y y)))))
  (sqrt (/ (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y)))))
  (sqrt (/ (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) 1))
  (sqrt (/ (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y))))
  (sqrt (/ (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (+ x y)))
  (sqrt (/ (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- x y)))
  (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))))
  (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y)))))
  (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y)))))
  (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y)))))
  (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 1))
  (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y))))
  (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (+ x y)))
  (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- x y)))
  (sqrt (/ 1 (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))))
  (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (cbrt (- (* x x) (* y y)))))
  (sqrt (/ 1 (sqrt (- (* x x) (* y y)))))
  (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (sqrt (- (* x x) (* y y)))))
  (sqrt (/ 1 1))
  (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))
  (sqrt (/ 1 (+ x y)))
  (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- x y)))
  (sqrt (/ (+ (* x x) (* y y)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))))
  (sqrt (/ (- (* x x) (* y y)) (cbrt (- (* x x) (* y y)))))
  (sqrt (/ (+ (* x x) (* y y)) (sqrt (- (* x x) (* y y)))))
  (sqrt (/ (- (* x x) (* y y)) (sqrt (- (* x x) (* y y)))))
  (sqrt (/ (+ (* x x) (* y y)) 1))
  (sqrt (/ (- (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (/ (+ (* x x) (* y y)) (+ x y)))
  (sqrt (/ (- (* x x) (* y y)) (- x y)))
  (sqrt 1)
  (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (/ 1 (- (* x x) (* y y))))
  (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (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))) (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))))
  (sqrt (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))))
  (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) (* x x))) (exp (* (* y y) (* y y))))
  (log (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (exp (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (* (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (- (pow (* (* x x) (* x x)) 3) (pow (* (* y y) (* y y)) 3))
  (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* (* (* y y) (* y y)) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (- (* (* y y) (* y y)))
  (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* (* y y) (* y y)) (* (* y y) (* y y))))
  (+ (* (* x x) (* x x)) (* (* y y) (* y y)))
  (+ (* x x) (* y y))
  (- (* x x) (* y y))
  (- (* (* y y) (* y y)))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  0
  (- (pow x 4) (pow y 4))
  (- (pow x 4) (pow y 4))
7.408 * * [simplify]: iteration 0: 174 enodes
7.450 * * [simplify]: iteration 1: 423 enodes
7.819 * * [simplify]: iteration 2: 2950 enodes
9.198 * * [simplify]: iteration complete: 5002 enodes
9.198 * * [simplify]: Extracting #0: cost 105 inf + 0
9.200 * * [simplify]: Extracting #1: cost 652 inf + 46
9.206 * * [simplify]: Extracting #2: cost 1709 inf + 7574
9.231 * * [simplify]: Extracting #3: cost 1083 inf + 182348
9.316 * * [simplify]: Extracting #4: cost 126 inf + 380191
9.383 * * [simplify]: Extracting #5: cost 2 inf + 407967
9.447 * * [simplify]: Extracting #6: cost 0 inf + 408080
9.567 * [simplify]: Simplified to:
  (log (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* 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)))
  (- (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (- (* (+ x y) (- x y)))
  (/ (* (* x x) (* x x)) (* (+ x y) (- x y)))
  (* (/ (* y y) (+ x y)) (/ (* y y) (- x y)))
  (* (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- x y)))) (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- x y)))))
  (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- x y))))
  (/ (* (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (sqrt (* (+ x y) (- x y))))
  (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- x y))))
  (* (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (* (+ x y) (- x y)))
  (* (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (+ x y)) (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (- x y))
  (/ (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))))
  (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- x y))))
  (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- x y))))
  (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- x y))))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (+ x y)) (- x y))
  (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (+ x y))
  (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (- x y))
  (/ (/ 1 (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))))
  (/ (+ (* x x) (* y y)) (/ (cbrt (* (+ x y) (- x y))) (* (+ x y) (- x y))))
  (/ 1 (sqrt (* (+ x y) (- x y))))
  (/ (+ (* x x) (* y y)) (/ (sqrt (* (+ x y) (- x y))) (* (+ x y) (- x y))))
  1
  (+ (* x x) (* y y))
  (/ 1 (+ x y))
  (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- x y))
  (/ (/ (+ (* x x) (* y y)) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))))
  (/ (* (+ x y) (- x y)) (cbrt (* (+ x y) (- x y))))
  (/ (+ (* x x) (* y y)) (sqrt (* (+ x y) (- x y))))
  (/ (* (+ x y) (- x y)) (sqrt (* (+ x y) (- x y))))
  (+ (* x x) (* y y))
  1
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ (* (+ x y) (- x y)) (- x y))
  (/ 1 (* (+ x y) (- x y)))
  (/ (/ (* (+ x y) (- x y)) (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (* (/ (+ (* x x) (* y y)) (cbrt (* (+ x y) (- x y)))) (/ (* (+ x y) (- x y)) (cbrt (* (+ x y) (- x y)))))
  (/ (+ (* x x) (* y y)) (/ (sqrt (* (+ x y) (- x y))) (* (+ x y) (- x y))))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ x y))
  (- (/ (* x x) (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (/ (* y y) (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))))
  (- (/ (* x x) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (/ (* y y) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))))
  (/ (/ (* (+ x y) (- x y)) (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  1
  (- (/ (* (* x x) (* x x)) (- (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y))))) (/ (* (* y y) (* y y)) (- (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y))))))
  1
  (* (* (+ x y) (- x y)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (+ (* (* y y) (* y y)) (* (* x x) (* x x))) (* (* y y) (* y y)))))
  (* (* (+ x y) (- x y)) (+ (* (* y y) (* y y)) (* (* x x) (* x x))))
  (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))) (+ (* x x) (* y y)))
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (fabs (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- x y)))))
  (sqrt (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- x y)))))
  (sqrt (/ (* (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (sqrt (* (+ x y) (- x y)))))
  (sqrt (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- x y)))))
  (fabs (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (sqrt (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (* (+ x y) (- x y))))
  (sqrt (* (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (+ x y)) (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))))
  (sqrt (/ (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (- x y)))
  (sqrt (/ (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y)))))
  (sqrt (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- x y)))))
  (sqrt (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- x y)))))
  (sqrt (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- x y)))))
  (sqrt (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (sqrt (/ (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (+ x y)) (- x y)))
  (sqrt (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (+ x y)))
  (sqrt (/ (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (- x y)))
  (sqrt (/ (/ 1 (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y)))))
  (sqrt (/ (+ (* x x) (* y y)) (/ (cbrt (* (+ x y) (- x y))) (* (+ x y) (- x y)))))
  (sqrt (/ 1 (sqrt (* (+ x y) (- x y)))))
  (sqrt (/ (+ (* x x) (* y y)) (/ (sqrt (* (+ x y) (- x y))) (* (+ x y) (- x y)))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (/ 1 (+ x y)))
  (sqrt (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- x y)))
  (sqrt (/ (/ (+ (* x x) (* y y)) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y)))))
  (sqrt (/ (* (+ x y) (- x y)) (cbrt (* (+ x y) (- x y)))))
  (sqrt (/ (+ (* x x) (* y y)) (sqrt (* (+ x y) (- x y)))))
  (sqrt (/ (* (+ x y) (- x y)) (sqrt (* (+ x y) (- x y)))))
  (sqrt (+ (* x x) (* y y)))
  1
  (sqrt (/ (+ (* x x) (* y y)) (+ x y)))
  (sqrt (/ (* (+ x y) (- x y)) (- x y)))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (/ 1 (* (+ x y) (- x y))))
  (sqrt (- (/ (* (* x x) (* x x)) (- (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y))))) (/ (* (* y y) (* y y)) (- (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y)))))))
  (sqrt (+ (* (* x x) (* x x)) (* (* y y) (+ (* x x) (* y y)))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (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))))
  (* (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (sqrt (+ (* (* x x) (* x x)) (* (- (* y y) (* x x)) (* y y))))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (* (+ x y) (- x y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (exp (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (log (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (exp (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (* (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (cbrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (* (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (- (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* y y) (* (* y y) (* y y))) (* (* y y) (* (* y y) (* y y)))))
  (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (+ (* (* y y) (* y y)) (* (* x x) (* x x))) (* (* y y) (* y y))))
  (- (* (* y y) (* y y)))
  (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* (* y y) (* y y)) (* (* y y) (* y y))))
  (+ (* (* y y) (* y y)) (* (* x x) (* x x)))
  (+ (* x x) (* y y))
  (* (+ x y) (- x y))
  (- (* (* y y) (* y y)))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  y
  x
  (- x)
  y
  x
  (- x)
  0
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
9.583 * * * [progress]: adding candidates to table
10.371 * [progress]: [Phase 3 of 3] Extracting.
10.371 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))))>)
10.371 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x)
10.371 * * * * [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) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))))>)
10.400 * * * * [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) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))))>)
10.430 * * * * [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) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))))>)
10.474 * * * * [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) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))))>)
10.505 * * * * [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) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))))>)
10.536 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
10.536 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
10.536 * * [simplify]: iteration 0: 5 enodes
10.536 * * [simplify]: iteration 1: 6 enodes
10.536 * * [simplify]: iteration complete: 6 enodes
10.537 * * [simplify]: Extracting #0: cost 1 inf + 0
10.537 * * [simplify]: Extracting #1: cost 3 inf + 0
10.537 * * [simplify]: Extracting #2: cost 5 inf + 0
10.537 * * [simplify]: Extracting #3: cost 2 inf + 43
10.537 * * [simplify]: Extracting #4: cost 0 inf + 206
10.537 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
12.543 * [regime-testing]: Baseline error score: 0.005125640705088136
12.554 * [regime-testing]: Oracle error score: 0.004000500062507814
12.577 * [regime-testing]: End program error score: 0.005125640705088136