17.635 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.048 * * * [progress]: [2/2] Setting up program.
0.054 * [progress]: [Phase 2 of 3] Improving.
0.055 * [simplify]: Simplifying:
  (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.055 * * [simplify]: iteration 0: 9 enodes
0.058 * * [simplify]: iteration 1: 22 enodes
0.065 * * [simplify]: iteration 2: 48 enodes
0.080 * * [simplify]: iteration 3: 103 enodes
0.109 * * [simplify]: iteration 4: 208 enodes
0.171 * * [simplify]: iteration 5: 403 enodes
0.286 * * [simplify]: iteration 6: 840 enodes
0.794 * * [simplify]: iteration 7: 3699 enodes
2.628 * * [simplify]: iteration complete: 5000 enodes
2.628 * * [simplify]: Extracting #0: cost 1 inf + 0
2.629 * * [simplify]: Extracting #1: cost 239 inf + 0
2.633 * * [simplify]: Extracting #2: cost 844 inf + 1
2.640 * * [simplify]: Extracting #3: cost 1424 inf + 617
2.660 * * [simplify]: Extracting #4: cost 754 inf + 50096
2.706 * * [simplify]: Extracting #5: cost 101 inf + 180290
2.802 * * [simplify]: Extracting #6: cost 1 inf + 211970
2.885 * * [simplify]: Extracting #7: cost 0 inf + 212372
2.944 * [simplify]: Simplified to:
  (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
2.951 * * [progress]: iteration 1 / 4
2.951 * * * [progress]: picking best candidate
2.957 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))>
2.957 * * * [progress]: localizing error
2.972 * * * [progress]: generating rewritten candidates
2.972 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
2.986 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
3.010 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
3.106 * * * [progress]: generating series expansions
3.106 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
3.108 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
3.108 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
3.108 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
3.108 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.108 * [taylor]: Taking taylor expansion of y in x
3.108 * [backup-simplify]: Simplify y into y
3.108 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.108 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.108 * [taylor]: Taking taylor expansion of y in x
3.108 * [backup-simplify]: Simplify y into y
3.108 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.108 * [taylor]: Taking taylor expansion of x in x
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 1 into 1
3.108 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.108 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.108 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.108 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
3.108 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
3.108 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.108 * [taylor]: Taking taylor expansion of y in y
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 1 into 1
3.108 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.108 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.108 * [taylor]: Taking taylor expansion of y in y
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 1 into 1
3.109 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.109 * [taylor]: Taking taylor expansion of x in y
3.109 * [backup-simplify]: Simplify x into x
3.109 * [backup-simplify]: Simplify (* 1 1) into 1
3.109 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.109 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.109 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.109 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
3.109 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.109 * [taylor]: Taking taylor expansion of y in y
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify 1 into 1
3.109 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.109 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.109 * [taylor]: Taking taylor expansion of y in y
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify 1 into 1
3.109 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.109 * [taylor]: Taking taylor expansion of x in y
3.109 * [backup-simplify]: Simplify x into x
3.110 * [backup-simplify]: Simplify (* 1 1) into 1
3.110 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.110 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.110 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.110 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.110 * [taylor]: Taking taylor expansion of x in x
3.110 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify 1 into 1
3.110 * [backup-simplify]: Simplify (* 1 1) into 1
3.111 * [backup-simplify]: Simplify (/ 1 1) into 1
3.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.112 * [backup-simplify]: Simplify 0 into 0
3.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.113 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.113 * [backup-simplify]: Simplify (+ 0 0) into 0
3.113 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
3.113 * [taylor]: Taking taylor expansion of 0 in x
3.113 * [backup-simplify]: Simplify 0 into 0
3.113 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.115 * [backup-simplify]: Simplify (* 1 1) into 1
3.116 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
3.116 * [backup-simplify]: Simplify (+ 1 0) into 1
3.116 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
3.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
3.116 * [taylor]: Taking taylor expansion of (pow x 4) in x
3.116 * [taylor]: Taking taylor expansion of x in x
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 1 into 1
3.117 * [backup-simplify]: Simplify (* 1 1) into 1
3.117 * [backup-simplify]: Simplify (* 1 1) into 1
3.117 * [backup-simplify]: Simplify (/ 1 1) into 1
3.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.131 * [backup-simplify]: Simplify (- 0) into 0
3.131 * [backup-simplify]: Simplify 0 into 0
3.132 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.134 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
3.134 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
3.134 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.134 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.134 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.135 * [taylor]: Taking taylor expansion of y in x
3.135 * [backup-simplify]: Simplify y into y
3.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.135 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.135 * [taylor]: Taking taylor expansion of y in x
3.135 * [backup-simplify]: Simplify y into y
3.135 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.135 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.135 * [taylor]: Taking taylor expansion of x in x
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 1 into 1
3.135 * [backup-simplify]: Simplify (* 1 1) into 1
3.136 * [backup-simplify]: Simplify (/ 1 1) into 1
3.136 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.136 * [backup-simplify]: Simplify (+ 0 1) into 1
3.137 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.137 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.137 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.137 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.137 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.137 * [taylor]: Taking taylor expansion of y in y
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify 1 into 1
3.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.137 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.137 * [taylor]: Taking taylor expansion of y in y
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify 1 into 1
3.137 * [backup-simplify]: Simplify (* 1 1) into 1
3.138 * [backup-simplify]: Simplify (/ 1 1) into 1
3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.138 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.138 * [taylor]: Taking taylor expansion of x in y
3.138 * [backup-simplify]: Simplify x into x
3.138 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.138 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.139 * [backup-simplify]: Simplify (* 1 1) into 1
3.139 * [backup-simplify]: Simplify (+ 1 0) into 1
3.139 * [backup-simplify]: Simplify (* 1 1) into 1
3.140 * [backup-simplify]: Simplify (/ 1 1) into 1
3.140 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.140 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.140 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.140 * [taylor]: Taking taylor expansion of y in y
3.140 * [backup-simplify]: Simplify 0 into 0
3.140 * [backup-simplify]: Simplify 1 into 1
3.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.140 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.140 * [taylor]: Taking taylor expansion of y in y
3.140 * [backup-simplify]: Simplify 0 into 0
3.140 * [backup-simplify]: Simplify 1 into 1
3.141 * [backup-simplify]: Simplify (* 1 1) into 1
3.141 * [backup-simplify]: Simplify (/ 1 1) into 1
3.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.141 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.141 * [taylor]: Taking taylor expansion of x in y
3.141 * [backup-simplify]: Simplify x into x
3.141 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.142 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.142 * [backup-simplify]: Simplify (* 1 1) into 1
3.142 * [backup-simplify]: Simplify (+ 1 0) into 1
3.143 * [backup-simplify]: Simplify (* 1 1) into 1
3.143 * [backup-simplify]: Simplify (/ 1 1) into 1
3.143 * [taylor]: Taking taylor expansion of 1 in x
3.143 * [backup-simplify]: Simplify 1 into 1
3.143 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.145 * [backup-simplify]: Simplify (+ 0 0) into 0
3.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.148 * [taylor]: Taking taylor expansion of 0 in x
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.150 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
3.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.152 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
3.153 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
3.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.153 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.153 * [taylor]: Taking taylor expansion of x in x
3.153 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 1 into 1
3.154 * [backup-simplify]: Simplify (* 1 1) into 1
3.154 * [backup-simplify]: Simplify (/ 1 1) into 1
3.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.163 * [backup-simplify]: Simplify (- 0) into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
3.164 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
3.164 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.164 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.164 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.164 * [taylor]: Taking taylor expansion of y in x
3.164 * [backup-simplify]: Simplify y into y
3.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.164 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.164 * [taylor]: Taking taylor expansion of y in x
3.165 * [backup-simplify]: Simplify y into y
3.165 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.165 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.165 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.165 * [taylor]: Taking taylor expansion of x in x
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify 1 into 1
3.165 * [backup-simplify]: Simplify (* 1 1) into 1
3.166 * [backup-simplify]: Simplify (/ 1 1) into 1
3.166 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.166 * [backup-simplify]: Simplify (+ 0 1) into 1
3.166 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.166 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.167 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.167 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.167 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.167 * [taylor]: Taking taylor expansion of y in y
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 1 into 1
3.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.167 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.167 * [taylor]: Taking taylor expansion of y in y
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 1 into 1
3.167 * [backup-simplify]: Simplify (* 1 1) into 1
3.168 * [backup-simplify]: Simplify (/ 1 1) into 1
3.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.168 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.168 * [taylor]: Taking taylor expansion of x in y
3.168 * [backup-simplify]: Simplify x into x
3.168 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.168 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.168 * [backup-simplify]: Simplify (* 1 1) into 1
3.169 * [backup-simplify]: Simplify (+ 1 0) into 1
3.169 * [backup-simplify]: Simplify (* 1 1) into 1
3.170 * [backup-simplify]: Simplify (/ 1 1) into 1
3.170 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.170 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.170 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.170 * [taylor]: Taking taylor expansion of y in y
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 1 into 1
3.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.170 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.170 * [taylor]: Taking taylor expansion of y in y
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 1 into 1
3.170 * [backup-simplify]: Simplify (* 1 1) into 1
3.171 * [backup-simplify]: Simplify (/ 1 1) into 1
3.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.171 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.171 * [taylor]: Taking taylor expansion of x in y
3.171 * [backup-simplify]: Simplify x into x
3.171 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.171 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.171 * [backup-simplify]: Simplify (* 1 1) into 1
3.172 * [backup-simplify]: Simplify (+ 1 0) into 1
3.172 * [backup-simplify]: Simplify (* 1 1) into 1
3.173 * [backup-simplify]: Simplify (/ 1 1) into 1
3.173 * [taylor]: Taking taylor expansion of 1 in x
3.173 * [backup-simplify]: Simplify 1 into 1
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.175 * [backup-simplify]: Simplify (+ 0 0) into 0
3.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.177 * [taylor]: Taking taylor expansion of 0 in x
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.179 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.181 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
3.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
3.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.182 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.182 * [taylor]: Taking taylor expansion of x in x
3.182 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify 1 into 1
3.182 * [backup-simplify]: Simplify (* 1 1) into 1
3.183 * [backup-simplify]: Simplify (/ 1 1) into 1
3.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.191 * [backup-simplify]: Simplify (- 0) into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
3.191 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2)))
3.191 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0
3.191 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
3.191 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.192 * [taylor]: Taking taylor expansion of x in y
3.192 * [backup-simplify]: Simplify x into x
3.192 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.192 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.192 * [taylor]: Taking taylor expansion of y in y
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 1 into 1
3.192 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.192 * [taylor]: Taking taylor expansion of x in y
3.192 * [backup-simplify]: Simplify x into x
3.192 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.192 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.192 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.192 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.192 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
3.192 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.192 * [taylor]: Taking taylor expansion of x in x
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 1 into 1
3.192 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.193 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.193 * [taylor]: Taking taylor expansion of y in x
3.193 * [backup-simplify]: Simplify y into y
3.193 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.193 * [taylor]: Taking taylor expansion of x in x
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 1 into 1
3.193 * [backup-simplify]: Simplify (* 1 1) into 1
3.193 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.193 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.193 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.194 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
3.194 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.194 * [taylor]: Taking taylor expansion of x in x
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 1 into 1
3.194 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.194 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.194 * [taylor]: Taking taylor expansion of y in x
3.194 * [backup-simplify]: Simplify y into y
3.194 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.194 * [taylor]: Taking taylor expansion of x in x
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 1 into 1
3.194 * [backup-simplify]: Simplify (* 1 1) into 1
3.194 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.194 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.195 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.195 * [taylor]: Taking taylor expansion of y in y
3.195 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify 1 into 1
3.195 * [backup-simplify]: Simplify (* 1 1) into 1
3.196 * [backup-simplify]: Simplify (/ 1 1) into 1
3.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.198 * [backup-simplify]: Simplify 0 into 0
3.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.199 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.199 * [backup-simplify]: Simplify (+ 0 0) into 0
3.199 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.199 * [taylor]: Taking taylor expansion of 0 in y
3.199 * [backup-simplify]: Simplify 0 into 0
3.199 * [backup-simplify]: Simplify 0 into 0
3.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.201 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.201 * [backup-simplify]: Simplify (* 1 1) into 1
3.202 * [backup-simplify]: Simplify (+ 0 1) into 1
3.202 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4)))
3.202 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
3.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.202 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.202 * [taylor]: Taking taylor expansion of y in y
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.202 * [backup-simplify]: Simplify (* 1 1) into 1
3.203 * [backup-simplify]: Simplify (* 1 1) into 1
3.203 * [backup-simplify]: Simplify (/ 1 1) into 1
3.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.209 * [backup-simplify]: Simplify (- 0) into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
3.211 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
3.211 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.211 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.211 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.211 * [taylor]: Taking taylor expansion of x in y
3.211 * [backup-simplify]: Simplify x into x
3.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.211 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.211 * [taylor]: Taking taylor expansion of y in y
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 1 into 1
3.211 * [backup-simplify]: Simplify (* 1 1) into 1
3.212 * [backup-simplify]: Simplify (/ 1 1) into 1
3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.212 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.212 * [taylor]: Taking taylor expansion of x in y
3.212 * [backup-simplify]: Simplify x into x
3.212 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.212 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.212 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.212 * [backup-simplify]: Simplify (+ 1 0) into 1
3.212 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
3.212 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.212 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.212 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.212 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.212 * [taylor]: Taking taylor expansion of x in x
3.212 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 1 into 1
3.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.213 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.213 * [taylor]: Taking taylor expansion of y in x
3.213 * [backup-simplify]: Simplify y into y
3.213 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.213 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.213 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.213 * [taylor]: Taking taylor expansion of x in x
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 1 into 1
3.213 * [backup-simplify]: Simplify (* 1 1) into 1
3.213 * [backup-simplify]: Simplify (/ 1 1) into 1
3.213 * [backup-simplify]: Simplify (* 1 1) into 1
3.214 * [backup-simplify]: Simplify (+ 0 1) into 1
3.214 * [backup-simplify]: Simplify (* 1 1) into 1
3.214 * [backup-simplify]: Simplify (/ 1 1) into 1
3.214 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.214 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.214 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.214 * [taylor]: Taking taylor expansion of x in x
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 1 into 1
3.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.214 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.214 * [taylor]: Taking taylor expansion of y in x
3.214 * [backup-simplify]: Simplify y into y
3.214 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.215 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.215 * [taylor]: Taking taylor expansion of x in x
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 1 into 1
3.215 * [backup-simplify]: Simplify (* 1 1) into 1
3.215 * [backup-simplify]: Simplify (/ 1 1) into 1
3.215 * [backup-simplify]: Simplify (* 1 1) into 1
3.216 * [backup-simplify]: Simplify (+ 0 1) into 1
3.216 * [backup-simplify]: Simplify (* 1 1) into 1
3.216 * [backup-simplify]: Simplify (/ 1 1) into 1
3.216 * [taylor]: Taking taylor expansion of 1 in y
3.216 * [backup-simplify]: Simplify 1 into 1
3.216 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.217 * [backup-simplify]: Simplify (+ 0 0) into 0
3.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.218 * [taylor]: Taking taylor expansion of 0 in y
3.218 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.220 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.221 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.221 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.221 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.221 * [taylor]: Taking taylor expansion of y in y
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 1 into 1
3.222 * [backup-simplify]: Simplify (* 1 1) into 1
3.222 * [backup-simplify]: Simplify (/ 1 1) into 1
3.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.230 * [backup-simplify]: Simplify (- 0) into 0
3.230 * [backup-simplify]: Simplify 0 into 0
3.230 * [backup-simplify]: Simplify 0 into 0
3.230 * [backup-simplify]: Simplify 0 into 0
3.230 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
3.231 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
3.231 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.231 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.231 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.231 * [taylor]: Taking taylor expansion of x in y
3.231 * [backup-simplify]: Simplify x into x
3.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.231 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.231 * [taylor]: Taking taylor expansion of y in y
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify 1 into 1
3.231 * [backup-simplify]: Simplify (* 1 1) into 1
3.232 * [backup-simplify]: Simplify (/ 1 1) into 1
3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.232 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.232 * [taylor]: Taking taylor expansion of x in y
3.232 * [backup-simplify]: Simplify x into x
3.232 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.232 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.232 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.233 * [backup-simplify]: Simplify (+ 1 0) into 1
3.233 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
3.233 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.233 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.233 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.233 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.233 * [taylor]: Taking taylor expansion of x in x
3.233 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify 1 into 1
3.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.233 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.233 * [taylor]: Taking taylor expansion of y in x
3.233 * [backup-simplify]: Simplify y into y
3.233 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.233 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.234 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.234 * [taylor]: Taking taylor expansion of x in x
3.234 * [backup-simplify]: Simplify 0 into 0
3.234 * [backup-simplify]: Simplify 1 into 1
3.234 * [backup-simplify]: Simplify (* 1 1) into 1
3.235 * [backup-simplify]: Simplify (/ 1 1) into 1
3.235 * [backup-simplify]: Simplify (* 1 1) into 1
3.236 * [backup-simplify]: Simplify (+ 0 1) into 1
3.236 * [backup-simplify]: Simplify (* 1 1) into 1
3.236 * [backup-simplify]: Simplify (/ 1 1) into 1
3.236 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.236 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.236 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.237 * [taylor]: Taking taylor expansion of x in x
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 1 into 1
3.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.237 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.237 * [taylor]: Taking taylor expansion of y in x
3.237 * [backup-simplify]: Simplify y into y
3.237 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.237 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.237 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.237 * [taylor]: Taking taylor expansion of x in x
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 1 into 1
3.238 * [backup-simplify]: Simplify (* 1 1) into 1
3.238 * [backup-simplify]: Simplify (/ 1 1) into 1
3.238 * [backup-simplify]: Simplify (* 1 1) into 1
3.239 * [backup-simplify]: Simplify (+ 0 1) into 1
3.239 * [backup-simplify]: Simplify (* 1 1) into 1
3.240 * [backup-simplify]: Simplify (/ 1 1) into 1
3.240 * [taylor]: Taking taylor expansion of 1 in y
3.240 * [backup-simplify]: Simplify 1 into 1
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.242 * [backup-simplify]: Simplify (+ 0 0) into 0
3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.244 * [taylor]: Taking taylor expansion of 0 in y
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 0 into 0
3.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.247 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.248 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.250 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.250 * [taylor]: Taking taylor expansion of y in y
3.250 * [backup-simplify]: Simplify 0 into 0
3.250 * [backup-simplify]: Simplify 1 into 1
3.250 * [backup-simplify]: Simplify (* 1 1) into 1
3.250 * [backup-simplify]: Simplify (/ 1 1) into 1
3.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.261 * [backup-simplify]: Simplify (- 0) into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * * * * [progress]: [ 3 / 3 ] generating series at (2)
3.262 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) into (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2))))
3.262 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in (x y) around 0
3.262 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in y
3.262 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
3.262 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.262 * [taylor]: Taking taylor expansion of x in y
3.262 * [backup-simplify]: Simplify x into x
3.262 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.262 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.262 * [taylor]: Taking taylor expansion of y in y
3.262 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify 1 into 1
3.262 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.262 * [taylor]: Taking taylor expansion of x in y
3.262 * [backup-simplify]: Simplify x into x
3.262 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.262 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.262 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.263 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.263 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
3.263 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.263 * [taylor]: Taking taylor expansion of y in y
3.263 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify 1 into 1
3.263 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.263 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.263 * [taylor]: Taking taylor expansion of y in y
3.263 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify 1 into 1
3.263 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.263 * [taylor]: Taking taylor expansion of x in y
3.263 * [backup-simplify]: Simplify x into x
3.264 * [backup-simplify]: Simplify (* 1 1) into 1
3.264 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.264 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.264 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.264 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x
3.264 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
3.264 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.264 * [taylor]: Taking taylor expansion of x in x
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 1 into 1
3.264 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.264 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.264 * [taylor]: Taking taylor expansion of y in x
3.264 * [backup-simplify]: Simplify y into y
3.264 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.264 * [taylor]: Taking taylor expansion of x in x
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 1 into 1
3.265 * [backup-simplify]: Simplify (* 1 1) into 1
3.265 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.265 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.265 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.265 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
3.265 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.265 * [taylor]: Taking taylor expansion of y in x
3.265 * [backup-simplify]: Simplify y into y
3.265 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.265 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.265 * [taylor]: Taking taylor expansion of y in x
3.265 * [backup-simplify]: Simplify y into y
3.265 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.265 * [taylor]: Taking taylor expansion of x in x
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 1 into 1
3.265 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.265 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.266 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.266 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
3.266 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x
3.266 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
3.266 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.266 * [taylor]: Taking taylor expansion of x in x
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 1 into 1
3.266 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.266 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.266 * [taylor]: Taking taylor expansion of y in x
3.266 * [backup-simplify]: Simplify y into y
3.266 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.266 * [taylor]: Taking taylor expansion of x in x
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 1 into 1
3.267 * [backup-simplify]: Simplify (* 1 1) into 1
3.267 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.267 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.267 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.267 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
3.267 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.267 * [taylor]: Taking taylor expansion of y in x
3.267 * [backup-simplify]: Simplify y into y
3.267 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.267 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.267 * [taylor]: Taking taylor expansion of y in x
3.267 * [backup-simplify]: Simplify y into y
3.267 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.267 * [taylor]: Taking taylor expansion of x in x
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify 1 into 1
3.267 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.267 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.268 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.268 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
3.268 * [backup-simplify]: Simplify (- 1) into -1
3.269 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.269 * [taylor]: Taking taylor expansion of -1 in y
3.269 * [backup-simplify]: Simplify -1 into -1
3.269 * [backup-simplify]: Simplify -1 into -1
3.269 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.269 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.269 * [backup-simplify]: Simplify (+ 0 0) into 0
3.270 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0
3.270 * [backup-simplify]: Simplify (- 0) into 0
3.270 * [backup-simplify]: Simplify (+ 0 0) into 0
3.270 * [taylor]: Taking taylor expansion of 0 in y
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify 0 into 0
3.271 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.271 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.272 * [backup-simplify]: Simplify (* 1 1) into 1
3.272 * [backup-simplify]: Simplify (+ 0 1) into 1
3.273 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2)))
3.273 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2))
3.273 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
3.273 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.273 * [taylor]: Taking taylor expansion of 2 in y
3.273 * [backup-simplify]: Simplify 2 into 2
3.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.273 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.273 * [taylor]: Taking taylor expansion of y in y
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 1 into 1
3.274 * [backup-simplify]: Simplify (* 1 1) into 1
3.274 * [backup-simplify]: Simplify (/ 1 1) into 1
3.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.281 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.281 * [backup-simplify]: Simplify (+ 0 0) into 0
3.282 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.283 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.283 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.284 * [backup-simplify]: Simplify (+ 0 0) into 0
3.285 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
3.286 * [backup-simplify]: Simplify (- 0) into 0
3.286 * [backup-simplify]: Simplify (+ 0 0) into 0
3.286 * [taylor]: Taking taylor expansion of 0 in y
3.286 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify -1 into -1
3.287 * [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 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))))
3.287 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0
3.287 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y
3.287 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.287 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.287 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.287 * [taylor]: Taking taylor expansion of x in y
3.287 * [backup-simplify]: Simplify x into x
3.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.287 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.287 * [taylor]: Taking taylor expansion of y in y
3.287 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify 1 into 1
3.288 * [backup-simplify]: Simplify (* 1 1) into 1
3.288 * [backup-simplify]: Simplify (/ 1 1) into 1
3.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.288 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.288 * [taylor]: Taking taylor expansion of x in y
3.288 * [backup-simplify]: Simplify x into x
3.288 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.288 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.288 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.289 * [backup-simplify]: Simplify (+ 1 0) into 1
3.289 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
3.289 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.289 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.289 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.289 * [taylor]: Taking taylor expansion of y in y
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 1 into 1
3.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.289 * [taylor]: Taking taylor expansion of y in y
3.289 * [backup-simplify]: Simplify 0 into 0
3.290 * [backup-simplify]: Simplify 1 into 1
3.290 * [backup-simplify]: Simplify (* 1 1) into 1
3.290 * [backup-simplify]: Simplify (/ 1 1) into 1
3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.290 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.290 * [taylor]: Taking taylor expansion of x in y
3.290 * [backup-simplify]: Simplify x into x
3.290 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.291 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.291 * [backup-simplify]: Simplify (* 1 1) into 1
3.291 * [backup-simplify]: Simplify (+ 1 0) into 1
3.292 * [backup-simplify]: Simplify (* 1 1) into 1
3.292 * [backup-simplify]: Simplify (/ 1 1) into 1
3.292 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
3.292 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.292 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.292 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.292 * [taylor]: Taking taylor expansion of x in x
3.292 * [backup-simplify]: Simplify 0 into 0
3.292 * [backup-simplify]: Simplify 1 into 1
3.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.292 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.292 * [taylor]: Taking taylor expansion of y in x
3.292 * [backup-simplify]: Simplify y into y
3.293 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.293 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.293 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.293 * [taylor]: Taking taylor expansion of x in x
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify 1 into 1
3.293 * [backup-simplify]: Simplify (* 1 1) into 1
3.294 * [backup-simplify]: Simplify (/ 1 1) into 1
3.294 * [backup-simplify]: Simplify (* 1 1) into 1
3.294 * [backup-simplify]: Simplify (+ 0 1) into 1
3.295 * [backup-simplify]: Simplify (* 1 1) into 1
3.295 * [backup-simplify]: Simplify (/ 1 1) into 1
3.295 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.295 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.295 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.295 * [taylor]: Taking taylor expansion of y in x
3.295 * [backup-simplify]: Simplify y into y
3.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.295 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.295 * [taylor]: Taking taylor expansion of y in x
3.295 * [backup-simplify]: Simplify y into y
3.296 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.296 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.296 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.296 * [taylor]: Taking taylor expansion of x in x
3.296 * [backup-simplify]: Simplify 0 into 0
3.296 * [backup-simplify]: Simplify 1 into 1
3.296 * [backup-simplify]: Simplify (* 1 1) into 1
3.297 * [backup-simplify]: Simplify (/ 1 1) into 1
3.297 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.297 * [backup-simplify]: Simplify (+ 0 1) into 1
3.297 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.297 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.297 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
3.297 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.297 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.297 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.297 * [taylor]: Taking taylor expansion of x in x
3.297 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify 1 into 1
3.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.298 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.298 * [taylor]: Taking taylor expansion of y in x
3.298 * [backup-simplify]: Simplify y into y
3.298 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.298 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.298 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.298 * [taylor]: Taking taylor expansion of x in x
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 1 into 1
3.298 * [backup-simplify]: Simplify (* 1 1) into 1
3.298 * [backup-simplify]: Simplify (/ 1 1) into 1
3.298 * [backup-simplify]: Simplify (* 1 1) into 1
3.299 * [backup-simplify]: Simplify (+ 0 1) into 1
3.299 * [backup-simplify]: Simplify (* 1 1) into 1
3.299 * [backup-simplify]: Simplify (/ 1 1) into 1
3.299 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.299 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.299 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.299 * [taylor]: Taking taylor expansion of y in x
3.299 * [backup-simplify]: Simplify y into y
3.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.299 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.299 * [taylor]: Taking taylor expansion of y in x
3.299 * [backup-simplify]: Simplify y into y
3.299 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.300 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.300 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.300 * [taylor]: Taking taylor expansion of x in x
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 1 into 1
3.300 * [backup-simplify]: Simplify (* 1 1) into 1
3.300 * [backup-simplify]: Simplify (/ 1 1) into 1
3.300 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.300 * [backup-simplify]: Simplify (+ 0 1) into 1
3.300 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.301 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.301 * [backup-simplify]: Simplify (+ 1 0) into 1
3.301 * [taylor]: Taking taylor expansion of 1 in y
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.302 * [backup-simplify]: Simplify (+ 0 0) into 0
3.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.304 * [backup-simplify]: Simplify (+ 0 0) into 0
3.304 * [taylor]: Taking taylor expansion of 0 in y
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.305 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.306 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.307 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
3.307 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
3.307 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
3.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.307 * [taylor]: Taking taylor expansion of 2 in y
3.307 * [backup-simplify]: Simplify 2 into 2
3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.307 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.307 * [taylor]: Taking taylor expansion of y in y
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.307 * [backup-simplify]: Simplify (* 1 1) into 1
3.307 * [backup-simplify]: Simplify (/ 1 1) into 1
3.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.310 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.310 * [backup-simplify]: Simplify (- 0) into 0
3.310 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify 0 into 0
3.311 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.312 * [backup-simplify]: Simplify (+ 0 0) into 0
3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
3.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.315 * [backup-simplify]: Simplify (+ 0 0) into 0
3.315 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.316 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0
3.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.316 * [backup-simplify]: Simplify (- 0) into 0
3.316 * [backup-simplify]: Simplify (+ 0 0) into 0
3.317 * [taylor]: Taking taylor expansion of 0 in y
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify 1 into 1
3.317 * [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 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))))
3.317 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0
3.317 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y
3.317 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.317 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.317 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.317 * [taylor]: Taking taylor expansion of x in y
3.317 * [backup-simplify]: Simplify x into x
3.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.317 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.317 * [taylor]: Taking taylor expansion of y in y
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify 1 into 1
3.318 * [backup-simplify]: Simplify (* 1 1) into 1
3.318 * [backup-simplify]: Simplify (/ 1 1) into 1
3.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.318 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.318 * [taylor]: Taking taylor expansion of x in y
3.318 * [backup-simplify]: Simplify x into x
3.318 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.318 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.319 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.319 * [backup-simplify]: Simplify (+ 1 0) into 1
3.319 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
3.319 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.319 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.319 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.319 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.319 * [taylor]: Taking taylor expansion of y in y
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 1 into 1
3.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.320 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.320 * [taylor]: Taking taylor expansion of y in y
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 1 into 1
3.320 * [backup-simplify]: Simplify (* 1 1) into 1
3.320 * [backup-simplify]: Simplify (/ 1 1) into 1
3.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.320 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.320 * [taylor]: Taking taylor expansion of x in y
3.321 * [backup-simplify]: Simplify x into x
3.321 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.321 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.321 * [backup-simplify]: Simplify (* 1 1) into 1
3.322 * [backup-simplify]: Simplify (+ 1 0) into 1
3.322 * [backup-simplify]: Simplify (* 1 1) into 1
3.322 * [backup-simplify]: Simplify (/ 1 1) into 1
3.322 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
3.322 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.322 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.322 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.322 * [taylor]: Taking taylor expansion of x in x
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 1 into 1
3.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.323 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.323 * [taylor]: Taking taylor expansion of y in x
3.323 * [backup-simplify]: Simplify y into y
3.323 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.323 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.323 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.323 * [taylor]: Taking taylor expansion of x in x
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 1 into 1
3.323 * [backup-simplify]: Simplify (* 1 1) into 1
3.324 * [backup-simplify]: Simplify (/ 1 1) into 1
3.324 * [backup-simplify]: Simplify (* 1 1) into 1
3.325 * [backup-simplify]: Simplify (+ 0 1) into 1
3.325 * [backup-simplify]: Simplify (* 1 1) into 1
3.325 * [backup-simplify]: Simplify (/ 1 1) into 1
3.325 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.325 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.325 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.325 * [taylor]: Taking taylor expansion of y in x
3.326 * [backup-simplify]: Simplify y into y
3.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.326 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.326 * [taylor]: Taking taylor expansion of y in x
3.326 * [backup-simplify]: Simplify y into y
3.326 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.326 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.326 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.326 * [taylor]: Taking taylor expansion of x in x
3.326 * [backup-simplify]: Simplify 0 into 0
3.326 * [backup-simplify]: Simplify 1 into 1
3.326 * [backup-simplify]: Simplify (* 1 1) into 1
3.327 * [backup-simplify]: Simplify (/ 1 1) into 1
3.327 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.327 * [backup-simplify]: Simplify (+ 0 1) into 1
3.327 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.328 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.328 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
3.328 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.328 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.328 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.328 * [taylor]: Taking taylor expansion of x in x
3.328 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify 1 into 1
3.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.328 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.328 * [taylor]: Taking taylor expansion of y in x
3.328 * [backup-simplify]: Simplify y into y
3.328 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.328 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.328 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.328 * [taylor]: Taking taylor expansion of x in x
3.328 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (* 1 1) into 1
3.329 * [backup-simplify]: Simplify (/ 1 1) into 1
3.329 * [backup-simplify]: Simplify (* 1 1) into 1
3.330 * [backup-simplify]: Simplify (+ 0 1) into 1
3.330 * [backup-simplify]: Simplify (* 1 1) into 1
3.331 * [backup-simplify]: Simplify (/ 1 1) into 1
3.331 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.331 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.331 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.331 * [taylor]: Taking taylor expansion of y in x
3.331 * [backup-simplify]: Simplify y into y
3.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.331 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.331 * [taylor]: Taking taylor expansion of y in x
3.331 * [backup-simplify]: Simplify y into y
3.331 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.331 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.331 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.331 * [taylor]: Taking taylor expansion of x in x
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify 1 into 1
3.332 * [backup-simplify]: Simplify (* 1 1) into 1
3.332 * [backup-simplify]: Simplify (/ 1 1) into 1
3.332 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.333 * [backup-simplify]: Simplify (+ 0 1) into 1
3.333 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.333 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.333 * [backup-simplify]: Simplify (+ 1 0) into 1
3.333 * [taylor]: Taking taylor expansion of 1 in y
3.333 * [backup-simplify]: Simplify 1 into 1
3.333 * [backup-simplify]: Simplify 1 into 1
3.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.335 * [backup-simplify]: Simplify (+ 0 0) into 0
3.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.338 * [backup-simplify]: Simplify (+ 0 0) into 0
3.338 * [taylor]: Taking taylor expansion of 0 in y
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify 0 into 0
3.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.340 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.342 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.343 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
3.343 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
3.343 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
3.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.343 * [taylor]: Taking taylor expansion of 2 in y
3.343 * [backup-simplify]: Simplify 2 into 2
3.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.343 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.343 * [taylor]: Taking taylor expansion of y in y
3.343 * [backup-simplify]: Simplify 0 into 0
3.343 * [backup-simplify]: Simplify 1 into 1
3.344 * [backup-simplify]: Simplify (* 1 1) into 1
3.344 * [backup-simplify]: Simplify (/ 1 1) into 1
3.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.349 * [backup-simplify]: Simplify (- 0) into 0
3.349 * [backup-simplify]: Simplify 0 into 0
3.349 * [backup-simplify]: Simplify 0 into 0
3.349 * [backup-simplify]: Simplify 0 into 0
3.349 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.352 * [backup-simplify]: Simplify (+ 0 0) into 0
3.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
3.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
3.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.357 * [backup-simplify]: Simplify (+ 0 0) into 0
3.357 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.358 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0
3.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.359 * [backup-simplify]: Simplify (- 0) into 0
3.359 * [backup-simplify]: Simplify (+ 0 0) into 0
3.359 * [taylor]: Taking taylor expansion of 0 in y
3.359 * [backup-simplify]: Simplify 0 into 0
3.359 * [backup-simplify]: Simplify 0 into 0
3.359 * [backup-simplify]: Simplify 1 into 1
3.359 * * * [progress]: simplifying candidates
3.361 * [simplify]: Simplifying:
  (- (+ (log y) (log y)) (log (+ (* x x) (* y y))))
  (- (log (* y y)) (log (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (exp (/ (* y y) (+ (* x x) (* y y))))
  (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))
  (cbrt (/ (* y y) (+ (* x x) (* y y))))
  (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (- (* y y))
  (- (+ (* x x) (* y y)))
  (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ y (cbrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y 1)
  (/ y (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* y y))
  (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* y y) (sqrt (+ (* x x) (* y y))))
  (/ (* y y) 1)
  (/ (+ (* x x) (* y y)) y)
  (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (- (+ (log x) (log x)) (log (+ (* x x) (* y y))))
  (- (log (* x x)) (log (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (exp (/ (* x x) (+ (* x x) (* y y))))
  (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y)))))
  (cbrt (/ (* x x) (+ (* x x) (* y y))))
  (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (- (* x x))
  (- (+ (* x x) (* y y)))
  (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ x (cbrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x 1)
  (/ x (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* x x))
  (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* x x) (sqrt (+ (* x x) (* y y))))
  (/ (* x x) 1)
  (/ (+ (* x x) (* y y)) x)
  (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (/ (exp (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* 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)))))
  (* (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) (* y y))
  (- (* (* x x) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* y y)))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (- (pow (/ (* x x) (+ (* x x) (* y y))) 3) (pow (/ (* y y) (+ (* x x) (* y y))) 3))
  (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
  (- (/ (* y y) (+ (* x x) (* y y))))
  (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* 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)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
  (- (* x x) (* y y))
  (- (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))))
  (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (- (/ (* y y) (+ (* x x) (* y y))))
  0
  0
  0
  0
  0
  0
  -1
  1
  1
3.364 * * [simplify]: iteration 0: 117 enodes
3.411 * * [simplify]: iteration 1: 373 enodes
3.611 * * [simplify]: iteration 2: 2706 enodes
4.952 * * [simplify]: iteration complete: 5002 enodes
4.952 * * [simplify]: Extracting #0: cost 68 inf + 0
4.953 * * [simplify]: Extracting #1: cost 602 inf + 209
4.962 * * [simplify]: Extracting #2: cost 1920 inf + 28222
5.016 * * [simplify]: Extracting #3: cost 897 inf + 214512
5.104 * * [simplify]: Extracting #4: cost 131 inf + 397414
5.202 * * [simplify]: Extracting #5: cost 1 inf + 447052
5.314 * * [simplify]: Extracting #6: cost 0 inf + 447334
5.442 * [simplify]: Simplified to:
  (log (/ (* y y) (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (exp (/ (* y y) (+ (* x x) (* y y))))
  (* (/ (* y y) (+ (* x x) (* y y))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (* (/ (* y y) (+ (* x x) (* y y))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))
  (cbrt (/ (* y y) (+ (* x x) (* y y))))
  (* (/ (* y y) (+ (* x x) (* y y))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (- (* y y))
  (- (+ (* x x) (* y y)))
  (/ (/ y (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ y (cbrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  y
  (/ y (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* y y))
  (/ (/ (* y y) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ (* y y) (sqrt (+ (* x x) (* y y))))
  (* y y)
  (/ (+ (* x x) (* y y)) y)
  (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (/ (* y y) (+ (* x x) (* y y))) (- (* x x) (* y y)))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (exp (/ (* x x) (+ (* x x) (* y y))))
  (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))
  (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))
  (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y)))))
  (cbrt (/ (* x x) (+ (* x x) (* y y))))
  (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (* x (- x))
  (- (+ (* x x) (* y y)))
  (/ (/ x (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ x (cbrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  x
  (/ x (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* x x))
  (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* x x) (sqrt (+ (* x x) (* y y))))
  (* x x)
  (/ (+ (* x x) (* y y)) x)
  (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (/ (* x x) (+ (* x x) (* y y))) (- (* x x) (* y y)))
  (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* 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)))))
  (* (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) (* y y))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (- (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (* (/ (* y y) (+ (* x x) (* y y))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
  (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* 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))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (+ (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))
  (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
  (- (* x x) (* y y))
  (- (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x)))) (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x)))))
  (- (/ (/ (* x x) (+ (* x x) (* y y))) (- (* x x) (* y y))) (/ (/ (* y y) (+ (* x x) (* y y))) (- (* x x) (* y y))))
  (- (/ (* y y) (+ (* x x) (* y y))))
  0
  0
  0
  0
  0
  0
  -1
  1
  1
5.450 * * * [progress]: adding candidates to table
5.816 * * [progress]: iteration 2 / 4
5.816 * * * [progress]: picking best candidate
5.826 * * * * [pick]: Picked  #<alt (λ (x y) -1)>
5.826 * * * [progress]: localizing error
5.827 * * * [progress]: generating rewritten candidates
5.827 * * * [progress]: generating series expansions
5.827 * * * [progress]: simplifying candidates
5.827 * [simplify]: Simplifying:
  
5.827 * * [simplify]: iteration 0: 0 enodes
5.827 * * [simplify]: iteration complete: 0 enodes
5.827 * * [simplify]: Extracting #0: cost 0 inf + 0
5.827 * [simplify]: Simplified to:
  
5.827 * * * [progress]: adding candidates to table
5.828 * * [progress]: iteration 3 / 4
5.828 * * * [progress]: picking best candidate
5.833 * * * * [pick]: Picked  #<alt (λ (x y) 1)>
5.833 * * * [progress]: localizing error
5.834 * * * [progress]: generating rewritten candidates
5.834 * * * [progress]: generating series expansions
5.834 * * * [progress]: simplifying candidates
5.834 * [simplify]: Simplifying:
  
5.834 * * [simplify]: iteration 0: 0 enodes
5.834 * * [simplify]: iteration complete: 0 enodes
5.834 * * [simplify]: Extracting #0: cost 0 inf + 0
5.834 * [simplify]: Simplified to:
  
5.834 * * * [progress]: adding candidates to table
5.835 * [progress]: [Phase 3 of 3] Extracting.
5.835 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) -1)>)
5.836 * * * [regime-changes]: Trying 2 branch expressions: (y x)
5.836 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) -1)>)
5.919 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) -1)>)
5.995 * * * [regime]: Found split indices: #<option (#s(si 2 49) #s(si 0 138) #s(si 1 216) #s(si 0 255))>
5.996 * [binary-search]: Improving bounds with binary search for y and (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) -1)>)
6.131 * [regimes]: Found splitpoints: (#s(sp 2 y -6.379960110729306e+150) #s(sp 0 y -1.5016765466948683e-155) #s(sp 1 y 1.6656408088991096e-162) #s(sp 0 y +nan.0)) , with alts (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) -1)>)
6.132 * [simplify]: Simplifying:
  (if (<= y -6.379960110729306e+150) -1 (if (<= y -1.5016765466948683e-155) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (if (<= y 1.6656408088991096e-162) 1 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))
6.132 * * [simplify]: iteration 0: 19 enodes
6.133 * * [simplify]: iteration 1: 25 enodes
6.134 * * [simplify]: iteration complete: 25 enodes
6.134 * * [simplify]: Extracting #0: cost 1 inf + 0
6.134 * * [simplify]: Extracting #1: cost 4 inf + 0
6.134 * * [simplify]: Extracting #2: cost 10 inf + 1
6.134 * * [simplify]: Extracting #3: cost 12 inf + 4
6.134 * * [simplify]: Extracting #4: cost 13 inf + 139
6.134 * * [simplify]: Extracting #5: cost 12 inf + 181
6.134 * * [simplify]: Extracting #6: cost 7 inf + 574
6.134 * * [simplify]: Extracting #7: cost 2 inf + 1737
6.135 * * [simplify]: Extracting #8: cost 0 inf + 2879
6.135 * [simplify]: Simplified to:
  (if (<= y -6.379960110729306e+150) -1 (if (<= y -1.5016765466948683e-155) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (if (<= y 1.6656408088991096e-162) 1 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))
7.520 * [regime-testing]: Baseline error score: 19.961455623142943
7.532 * [regime-testing]: Oracle error score: 0.49565600980350927
7.559 * [regime-testing]: End program error score: 5.161188027879808
7.692 * [regime-testing]: Target error score: 0.047772701277954195