15.332 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.044 * * * [progress]: [2/2] Setting up program.
0.050 * [progress]: [Phase 2 of 3] Improving.
0.050 * [simplify]: Simplifying:
  (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.050 * * [simplify]: iteration 0: 9 enodes
0.053 * * [simplify]: iteration 1: 22 enodes
0.060 * * [simplify]: iteration 2: 48 enodes
0.075 * * [simplify]: iteration 3: 103 enodes
0.106 * * [simplify]: iteration 4: 208 enodes
0.196 * * [simplify]: iteration 5: 403 enodes
0.363 * * [simplify]: iteration 6: 840 enodes
0.899 * * [simplify]: iteration 7: 3699 enodes
2.581 * * [simplify]: iteration complete: 5000 enodes
2.581 * * [simplify]: Extracting #0: cost 1 inf + 0
2.582 * * [simplify]: Extracting #1: cost 239 inf + 0
2.584 * * [simplify]: Extracting #2: cost 844 inf + 1
2.588 * * [simplify]: Extracting #3: cost 1424 inf + 617
2.600 * * [simplify]: Extracting #4: cost 754 inf + 50096
2.659 * * [simplify]: Extracting #5: cost 101 inf + 180290
2.715 * * [simplify]: Extracting #6: cost 1 inf + 211970
2.811 * * [simplify]: Extracting #7: cost 0 inf + 212372
2.881 * [simplify]: Simplified to:
  (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
2.885 * * [progress]: iteration 1 / 4
2.885 * * * [progress]: picking best candidate
2.889 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))>
2.889 * * * [progress]: localizing error
2.920 * * * [progress]: generating rewritten candidates
2.920 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.948 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.981 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.076 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
3.087 * * * [progress]: generating series expansions
3.087 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.088 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
3.088 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
3.088 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
3.088 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.088 * [taylor]: Taking taylor expansion of y in x
3.088 * [backup-simplify]: Simplify y into y
3.088 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.088 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.088 * [taylor]: Taking taylor expansion of y in x
3.088 * [backup-simplify]: Simplify y into y
3.088 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.088 * [taylor]: Taking taylor expansion of x in x
3.088 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify 1 into 1
3.088 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.088 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.088 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.089 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
3.089 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
3.089 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.089 * [taylor]: Taking taylor expansion of y in y
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify 1 into 1
3.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.089 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.089 * [taylor]: Taking taylor expansion of y in y
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify 1 into 1
3.089 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.089 * [taylor]: Taking taylor expansion of x in y
3.089 * [backup-simplify]: Simplify x into x
3.090 * [backup-simplify]: Simplify (* 1 1) into 1
3.090 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.090 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.090 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.090 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
3.090 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.090 * [taylor]: Taking taylor expansion of y in y
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 1 into 1
3.090 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.090 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.090 * [taylor]: Taking taylor expansion of y in y
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 1 into 1
3.090 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.090 * [taylor]: Taking taylor expansion of x in y
3.090 * [backup-simplify]: Simplify x into x
3.091 * [backup-simplify]: Simplify (* 1 1) into 1
3.091 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.091 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.091 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.091 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.091 * [taylor]: Taking taylor expansion of x in x
3.091 * [backup-simplify]: Simplify 0 into 0
3.091 * [backup-simplify]: Simplify 1 into 1
3.092 * [backup-simplify]: Simplify (* 1 1) into 1
3.092 * [backup-simplify]: Simplify (/ 1 1) into 1
3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.095 * [backup-simplify]: Simplify 0 into 0
3.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.096 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.097 * [backup-simplify]: Simplify (+ 0 0) into 0
3.097 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
3.097 * [taylor]: Taking taylor expansion of 0 in x
3.097 * [backup-simplify]: Simplify 0 into 0
3.097 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.099 * [backup-simplify]: Simplify 0 into 0
3.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.101 * [backup-simplify]: Simplify (* 1 1) into 1
3.101 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
3.102 * [backup-simplify]: Simplify (+ 1 0) into 1
3.102 * [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)))
3.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
3.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
3.103 * [taylor]: Taking taylor expansion of (pow x 4) in x
3.103 * [taylor]: Taking taylor expansion of x in x
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify 1 into 1
3.103 * [backup-simplify]: Simplify (* 1 1) into 1
3.103 * [backup-simplify]: Simplify (* 1 1) into 1
3.104 * [backup-simplify]: Simplify (/ 1 1) into 1
3.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.115 * [backup-simplify]: Simplify (- 0) into 0
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [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)))))
3.117 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
3.117 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.117 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.117 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.117 * [taylor]: Taking taylor expansion of y in x
3.117 * [backup-simplify]: Simplify y into y
3.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.117 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.117 * [taylor]: Taking taylor expansion of y in x
3.117 * [backup-simplify]: Simplify y into y
3.118 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.118 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.118 * [taylor]: Taking taylor expansion of x in x
3.118 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify 1 into 1
3.118 * [backup-simplify]: Simplify (* 1 1) into 1
3.119 * [backup-simplify]: Simplify (/ 1 1) into 1
3.119 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.119 * [backup-simplify]: Simplify (+ 0 1) into 1
3.119 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.119 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.119 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.119 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.119 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.119 * [taylor]: Taking taylor expansion of y in y
3.119 * [backup-simplify]: Simplify 0 into 0
3.119 * [backup-simplify]: Simplify 1 into 1
3.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.120 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.120 * [taylor]: Taking taylor expansion of y in y
3.120 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify 1 into 1
3.120 * [backup-simplify]: Simplify (* 1 1) into 1
3.120 * [backup-simplify]: Simplify (/ 1 1) into 1
3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.120 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.120 * [taylor]: Taking taylor expansion of x in y
3.120 * [backup-simplify]: Simplify x into x
3.120 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.121 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.121 * [backup-simplify]: Simplify (* 1 1) into 1
3.121 * [backup-simplify]: Simplify (+ 1 0) into 1
3.122 * [backup-simplify]: Simplify (* 1 1) into 1
3.122 * [backup-simplify]: Simplify (/ 1 1) into 1
3.122 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.122 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.122 * [taylor]: Taking taylor expansion of y in y
3.122 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify 1 into 1
3.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.122 * [taylor]: Taking taylor expansion of y in y
3.122 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify 1 into 1
3.123 * [backup-simplify]: Simplify (* 1 1) into 1
3.123 * [backup-simplify]: Simplify (/ 1 1) into 1
3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.123 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.123 * [taylor]: Taking taylor expansion of x in y
3.123 * [backup-simplify]: Simplify x into x
3.123 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.123 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.124 * [backup-simplify]: Simplify (* 1 1) into 1
3.124 * [backup-simplify]: Simplify (+ 1 0) into 1
3.124 * [backup-simplify]: Simplify (* 1 1) into 1
3.125 * [backup-simplify]: Simplify (/ 1 1) into 1
3.125 * [taylor]: Taking taylor expansion of 1 in x
3.125 * [backup-simplify]: Simplify 1 into 1
3.125 * [backup-simplify]: Simplify 0 into 0
3.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.127 * [backup-simplify]: Simplify (+ 0 0) into 0
3.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.129 * [taylor]: Taking taylor expansion of 0 in x
3.129 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.132 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
3.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.133 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
3.134 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
3.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.134 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.134 * [taylor]: Taking taylor expansion of x in x
3.134 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify 1 into 1
3.135 * [backup-simplify]: Simplify (* 1 1) into 1
3.135 * [backup-simplify]: Simplify (/ 1 1) into 1
3.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.143 * [backup-simplify]: Simplify (- 0) into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.144 * [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)))))
3.144 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
3.144 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.144 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.144 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.144 * [taylor]: Taking taylor expansion of y in x
3.144 * [backup-simplify]: Simplify y into y
3.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.144 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.144 * [taylor]: Taking taylor expansion of y in x
3.144 * [backup-simplify]: Simplify y into y
3.144 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.144 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.144 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.144 * [taylor]: Taking taylor expansion of x in x
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 1 into 1
3.145 * [backup-simplify]: Simplify (* 1 1) into 1
3.145 * [backup-simplify]: Simplify (/ 1 1) into 1
3.145 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.146 * [backup-simplify]: Simplify (+ 0 1) into 1
3.146 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.146 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.146 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.146 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.146 * [taylor]: Taking taylor expansion of y in y
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.146 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.146 * [taylor]: Taking taylor expansion of y in y
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.147 * [backup-simplify]: Simplify (* 1 1) into 1
3.147 * [backup-simplify]: Simplify (/ 1 1) into 1
3.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.147 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.147 * [taylor]: Taking taylor expansion of x in y
3.147 * [backup-simplify]: Simplify x into x
3.147 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.147 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.148 * [backup-simplify]: Simplify (* 1 1) into 1
3.148 * [backup-simplify]: Simplify (+ 1 0) into 1
3.148 * [backup-simplify]: Simplify (* 1 1) into 1
3.149 * [backup-simplify]: Simplify (/ 1 1) into 1
3.149 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.149 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.149 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.149 * [taylor]: Taking taylor expansion of y in y
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify 1 into 1
3.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.149 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.149 * [taylor]: Taking taylor expansion of y in y
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify 1 into 1
3.150 * [backup-simplify]: Simplify (* 1 1) into 1
3.150 * [backup-simplify]: Simplify (/ 1 1) into 1
3.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.150 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.150 * [taylor]: Taking taylor expansion of x in y
3.150 * [backup-simplify]: Simplify x into x
3.150 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.150 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.151 * [backup-simplify]: Simplify (* 1 1) into 1
3.151 * [backup-simplify]: Simplify (+ 1 0) into 1
3.152 * [backup-simplify]: Simplify (* 1 1) into 1
3.152 * [backup-simplify]: Simplify (/ 1 1) into 1
3.152 * [taylor]: Taking taylor expansion of 1 in x
3.152 * [backup-simplify]: Simplify 1 into 1
3.152 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.154 * [backup-simplify]: Simplify (+ 0 0) into 0
3.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.156 * [taylor]: Taking taylor expansion of 0 in x
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 0 into 0
3.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.158 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
3.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.160 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
3.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
3.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.161 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.161 * [taylor]: Taking taylor expansion of x in x
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify 1 into 1
3.162 * [backup-simplify]: Simplify (* 1 1) into 1
3.162 * [backup-simplify]: Simplify (/ 1 1) into 1
3.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.170 * [backup-simplify]: Simplify (- 0) into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.171 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2)))
3.171 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0
3.171 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.171 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.171 * [taylor]: Taking taylor expansion of y in y
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 1 into 1
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 (* x x) into (pow x 2)
3.171 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.171 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.171 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
3.172 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.172 * [taylor]: Taking taylor expansion of x in x
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 1 into 1
3.172 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.172 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.172 * [taylor]: Taking taylor expansion of y in x
3.172 * [backup-simplify]: Simplify y into y
3.172 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.172 * [taylor]: Taking taylor expansion of x in x
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 1 into 1
3.172 * [backup-simplify]: Simplify (* 1 1) into 1
3.172 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.173 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.173 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.173 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
3.173 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.173 * [taylor]: Taking taylor expansion of x in x
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 1 into 1
3.173 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.173 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.173 * [taylor]: Taking taylor expansion of y in x
3.173 * [backup-simplify]: Simplify y into y
3.173 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.173 * [taylor]: Taking taylor expansion of x in x
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 1 into 1
3.174 * [backup-simplify]: Simplify (* 1 1) into 1
3.174 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.174 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.174 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.174 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.174 * [taylor]: Taking taylor expansion of y in y
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 1 into 1
3.175 * [backup-simplify]: Simplify (* 1 1) into 1
3.175 * [backup-simplify]: Simplify (/ 1 1) into 1
3.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.179 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.180 * [backup-simplify]: Simplify (+ 0 0) into 0
3.180 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.180 * [taylor]: Taking taylor expansion of 0 in y
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.182 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.184 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.184 * [backup-simplify]: Simplify (* 1 1) into 1
3.185 * [backup-simplify]: Simplify (+ 0 1) into 1
3.185 * [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)))
3.186 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.186 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.186 * [taylor]: Taking taylor expansion of y in y
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 1 into 1
3.186 * [backup-simplify]: Simplify (* 1 1) into 1
3.186 * [backup-simplify]: Simplify (* 1 1) into 1
3.187 * [backup-simplify]: Simplify (/ 1 1) into 1
3.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.198 * [backup-simplify]: Simplify (- 0) into 0
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify 0 into 0
3.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.199 * [backup-simplify]: Simplify 0 into 0
3.199 * [backup-simplify]: Simplify 0 into 0
3.200 * [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)))))
3.200 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
3.200 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.200 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.200 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.200 * [taylor]: Taking taylor expansion of x in y
3.200 * [backup-simplify]: Simplify x into x
3.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.200 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.200 * [taylor]: Taking taylor expansion of y in y
3.200 * [backup-simplify]: Simplify 0 into 0
3.200 * [backup-simplify]: Simplify 1 into 1
3.200 * [backup-simplify]: Simplify (* 1 1) into 1
3.200 * [backup-simplify]: Simplify (/ 1 1) into 1
3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.200 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.200 * [taylor]: Taking taylor expansion of x in y
3.200 * [backup-simplify]: Simplify x into x
3.200 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.200 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.200 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.201 * [backup-simplify]: Simplify (+ 1 0) into 1
3.201 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
3.201 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.201 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.201 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.201 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.201 * [taylor]: Taking taylor expansion of x in x
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 1 into 1
3.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.201 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.201 * [taylor]: Taking taylor expansion of y in x
3.201 * [backup-simplify]: Simplify y into y
3.201 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.201 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.201 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.201 * [taylor]: Taking taylor expansion of x in x
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 1 into 1
3.202 * [backup-simplify]: Simplify (* 1 1) into 1
3.202 * [backup-simplify]: Simplify (/ 1 1) into 1
3.202 * [backup-simplify]: Simplify (* 1 1) into 1
3.202 * [backup-simplify]: Simplify (+ 0 1) into 1
3.203 * [backup-simplify]: Simplify (* 1 1) into 1
3.203 * [backup-simplify]: Simplify (/ 1 1) into 1
3.203 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.203 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.203 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.203 * [taylor]: Taking taylor expansion of x in x
3.203 * [backup-simplify]: Simplify 0 into 0
3.203 * [backup-simplify]: Simplify 1 into 1
3.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.203 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.203 * [taylor]: Taking taylor expansion of y in x
3.203 * [backup-simplify]: Simplify y into y
3.203 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.203 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.203 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.203 * [taylor]: Taking taylor expansion of x in x
3.203 * [backup-simplify]: Simplify 0 into 0
3.203 * [backup-simplify]: Simplify 1 into 1
3.203 * [backup-simplify]: Simplify (* 1 1) into 1
3.204 * [backup-simplify]: Simplify (/ 1 1) into 1
3.204 * [backup-simplify]: Simplify (* 1 1) into 1
3.204 * [backup-simplify]: Simplify (+ 0 1) into 1
3.204 * [backup-simplify]: Simplify (* 1 1) into 1
3.205 * [backup-simplify]: Simplify (/ 1 1) into 1
3.205 * [taylor]: Taking taylor expansion of 1 in y
3.205 * [backup-simplify]: Simplify 1 into 1
3.205 * [backup-simplify]: Simplify 0 into 0
3.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (+ 0 0) into 0
3.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.209 * [taylor]: Taking taylor expansion of 0 in y
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 1))) into 0
3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.210 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.211 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.212 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.212 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.212 * [taylor]: Taking taylor expansion of y in y
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 1 into 1
3.212 * [backup-simplify]: Simplify (* 1 1) into 1
3.212 * [backup-simplify]: Simplify (/ 1 1) into 1
3.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.217 * [backup-simplify]: Simplify (- 0) into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [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)))))
3.217 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
3.217 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.217 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.217 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.217 * [taylor]: Taking taylor expansion of x in y
3.217 * [backup-simplify]: Simplify x into x
3.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.217 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.217 * [taylor]: Taking taylor expansion of y in y
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 1 into 1
3.217 * [backup-simplify]: Simplify (* 1 1) into 1
3.218 * [backup-simplify]: Simplify (/ 1 1) into 1
3.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.218 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.218 * [taylor]: Taking taylor expansion of x in y
3.218 * [backup-simplify]: Simplify x into x
3.218 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.218 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.218 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.218 * [backup-simplify]: Simplify (+ 1 0) into 1
3.218 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
3.218 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.219 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.219 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.219 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.219 * [taylor]: Taking taylor expansion of x in x
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 1 into 1
3.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.219 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.219 * [taylor]: Taking taylor expansion of y in x
3.219 * [backup-simplify]: Simplify y into y
3.219 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.219 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.219 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.219 * [taylor]: Taking taylor expansion of x in x
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 1 into 1
3.219 * [backup-simplify]: Simplify (* 1 1) into 1
3.219 * [backup-simplify]: Simplify (/ 1 1) into 1
3.220 * [backup-simplify]: Simplify (* 1 1) into 1
3.220 * [backup-simplify]: Simplify (+ 0 1) into 1
3.220 * [backup-simplify]: Simplify (* 1 1) into 1
3.220 * [backup-simplify]: Simplify (/ 1 1) into 1
3.220 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.220 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.220 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.220 * [taylor]: Taking taylor expansion of x in x
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify 1 into 1
3.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.220 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.220 * [taylor]: Taking taylor expansion of y in x
3.221 * [backup-simplify]: Simplify y into y
3.221 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.221 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.221 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.221 * [taylor]: Taking taylor expansion of x in x
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 1 into 1
3.221 * [backup-simplify]: Simplify (* 1 1) into 1
3.221 * [backup-simplify]: Simplify (/ 1 1) into 1
3.221 * [backup-simplify]: Simplify (* 1 1) into 1
3.222 * [backup-simplify]: Simplify (+ 0 1) into 1
3.222 * [backup-simplify]: Simplify (* 1 1) into 1
3.222 * [backup-simplify]: Simplify (/ 1 1) into 1
3.222 * [taylor]: Taking taylor expansion of 1 in y
3.222 * [backup-simplify]: Simplify 1 into 1
3.222 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.223 * [backup-simplify]: Simplify (+ 0 0) into 0
3.224 * [backup-simplify]: Simplify (+ (* 1 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
3.225 * [taylor]: Taking taylor expansion of 0 in y
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.226 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.227 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.228 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
3.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.228 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.228 * [taylor]: Taking taylor expansion of y in y
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify 1 into 1
3.229 * [backup-simplify]: Simplify (* 1 1) into 1
3.229 * [backup-simplify]: Simplify (/ 1 1) into 1
3.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.237 * [backup-simplify]: Simplify (- 0) into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.238 * [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))))
3.238 * [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
3.238 * [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
3.238 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
3.238 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.238 * [taylor]: Taking taylor expansion of x in y
3.238 * [backup-simplify]: Simplify x into x
3.238 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.238 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.238 * [taylor]: Taking taylor expansion of y in y
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 1 into 1
3.238 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.238 * [taylor]: Taking taylor expansion of x in y
3.238 * [backup-simplify]: Simplify x into x
3.238 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.238 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.238 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.239 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.239 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
3.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.239 * [taylor]: Taking taylor expansion of y in y
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 1 into 1
3.239 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.239 * [taylor]: Taking taylor expansion of y in y
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 1 into 1
3.239 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.239 * [taylor]: Taking taylor expansion of x in y
3.239 * [backup-simplify]: Simplify x into x
3.239 * [backup-simplify]: Simplify (* 1 1) into 1
3.239 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.240 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.240 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.240 * [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
3.240 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
3.240 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.240 * [taylor]: Taking taylor expansion of x in x
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify 1 into 1
3.240 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.240 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.240 * [taylor]: Taking taylor expansion of y in x
3.240 * [backup-simplify]: Simplify y into y
3.240 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.240 * [taylor]: Taking taylor expansion of x in x
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify 1 into 1
3.240 * [backup-simplify]: Simplify (* 1 1) into 1
3.241 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.241 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.241 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.241 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
3.241 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.241 * [taylor]: Taking taylor expansion of y in x
3.241 * [backup-simplify]: Simplify y into y
3.241 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.241 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.241 * [taylor]: Taking taylor expansion of y in x
3.241 * [backup-simplify]: Simplify y into y
3.241 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.241 * [taylor]: Taking taylor expansion of x in x
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify 1 into 1
3.241 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.241 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.241 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.242 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
3.242 * [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
3.242 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
3.242 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.242 * [taylor]: Taking taylor expansion of x in x
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 1 into 1
3.242 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.242 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.242 * [taylor]: Taking taylor expansion of y in x
3.242 * [backup-simplify]: Simplify y into y
3.242 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.242 * [taylor]: Taking taylor expansion of x in x
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 1 into 1
3.242 * [backup-simplify]: Simplify (* 1 1) into 1
3.242 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.243 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.243 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.243 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
3.243 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.243 * [taylor]: Taking taylor expansion of y in x
3.243 * [backup-simplify]: Simplify y into y
3.243 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.243 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.243 * [taylor]: Taking taylor expansion of y in x
3.243 * [backup-simplify]: Simplify y into y
3.243 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.243 * [taylor]: Taking taylor expansion of x in x
3.243 * [backup-simplify]: Simplify 0 into 0
3.243 * [backup-simplify]: Simplify 1 into 1
3.243 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.243 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.243 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.244 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
3.244 * [backup-simplify]: Simplify (- 1) into -1
3.244 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.244 * [taylor]: Taking taylor expansion of -1 in y
3.244 * [backup-simplify]: Simplify -1 into -1
3.244 * [backup-simplify]: Simplify -1 into -1
3.245 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.245 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.245 * [backup-simplify]: Simplify (+ 0 0) into 0
3.245 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0
3.246 * [backup-simplify]: Simplify (- 0) into 0
3.246 * [backup-simplify]: Simplify (+ 0 0) into 0
3.246 * [taylor]: Taking taylor expansion of 0 in y
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.247 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.247 * [backup-simplify]: Simplify (* 1 1) into 1
3.248 * [backup-simplify]: Simplify (+ 0 1) into 1
3.248 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2)))
3.248 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2))
3.249 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
3.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.249 * [taylor]: Taking taylor expansion of 2 in y
3.249 * [backup-simplify]: Simplify 2 into 2
3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.249 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.249 * [taylor]: Taking taylor expansion of y in y
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify 1 into 1
3.249 * [backup-simplify]: Simplify (* 1 1) into 1
3.250 * [backup-simplify]: Simplify (/ 1 1) into 1
3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 0 into 0
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.255 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.255 * [backup-simplify]: Simplify (+ 0 0) into 0
3.256 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.256 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.257 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.258 * [backup-simplify]: Simplify (+ 0 0) into 0
3.259 * [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
3.259 * [backup-simplify]: Simplify (- 0) into 0
3.260 * [backup-simplify]: Simplify (+ 0 0) into 0
3.260 * [taylor]: Taking taylor expansion of 0 in y
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify -1 into -1
3.261 * [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))))))
3.261 * [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
3.261 * [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
3.261 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.261 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.261 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.261 * [taylor]: Taking taylor expansion of x in y
3.261 * [backup-simplify]: Simplify x into x
3.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.261 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.261 * [taylor]: Taking taylor expansion of y in y
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 1 into 1
3.261 * [backup-simplify]: Simplify (* 1 1) into 1
3.262 * [backup-simplify]: Simplify (/ 1 1) into 1
3.262 * [taylor]: Taking taylor expansion of (/ 1 (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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.262 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.262 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.262 * [backup-simplify]: Simplify (+ 1 0) into 1
3.263 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
3.263 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.263 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.263 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (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 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 * [backup-simplify]: Simplify (* 1 1) into 1
3.264 * [backup-simplify]: Simplify (/ 1 1) into 1
3.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.264 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.264 * [taylor]: Taking taylor expansion of x in y
3.264 * [backup-simplify]: Simplify x into x
3.264 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.264 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.265 * [backup-simplify]: Simplify (* 1 1) into 1
3.265 * [backup-simplify]: Simplify (+ 1 0) into 1
3.265 * [backup-simplify]: Simplify (* 1 1) into 1
3.266 * [backup-simplify]: Simplify (/ 1 1) into 1
3.266 * [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
3.266 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.266 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (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 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.266 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.266 * [taylor]: Taking taylor expansion of (/ 1 (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
3.267 * [backup-simplify]: Simplify (* 1 1) into 1
3.267 * [backup-simplify]: Simplify (/ 1 1) into 1
3.267 * [backup-simplify]: Simplify (* 1 1) into 1
3.268 * [backup-simplify]: Simplify (+ 0 1) into 1
3.268 * [backup-simplify]: Simplify (* 1 1) into 1
3.268 * [backup-simplify]: Simplify (/ 1 1) into 1
3.268 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.269 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.269 * [taylor]: Taking taylor expansion of y in x
3.269 * [backup-simplify]: Simplify y into y
3.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.269 * [taylor]: Taking taylor expansion of y in x
3.269 * [backup-simplify]: Simplify y into y
3.269 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.269 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.269 * [taylor]: Taking taylor expansion of x in x
3.269 * [backup-simplify]: Simplify 0 into 0
3.269 * [backup-simplify]: Simplify 1 into 1
3.269 * [backup-simplify]: Simplify (* 1 1) into 1
3.270 * [backup-simplify]: Simplify (/ 1 1) into 1
3.270 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.270 * [backup-simplify]: Simplify (+ 0 1) into 1
3.270 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.271 * [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
3.271 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.271 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.271 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.271 * [taylor]: Taking taylor expansion of x in x
3.271 * [backup-simplify]: Simplify 0 into 0
3.271 * [backup-simplify]: Simplify 1 into 1
3.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.271 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.271 * [taylor]: Taking taylor expansion of y in x
3.271 * [backup-simplify]: Simplify y into y
3.271 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.271 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.271 * [taylor]: Taking taylor expansion of x in x
3.271 * [backup-simplify]: Simplify 0 into 0
3.271 * [backup-simplify]: Simplify 1 into 1
3.272 * [backup-simplify]: Simplify (* 1 1) into 1
3.272 * [backup-simplify]: Simplify (/ 1 1) into 1
3.272 * [backup-simplify]: Simplify (* 1 1) into 1
3.273 * [backup-simplify]: Simplify (+ 0 1) into 1
3.273 * [backup-simplify]: Simplify (* 1 1) into 1
3.274 * [backup-simplify]: Simplify (/ 1 1) into 1
3.274 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.274 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.274 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.274 * [taylor]: Taking taylor expansion of y in x
3.274 * [backup-simplify]: Simplify y into y
3.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.274 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.274 * [taylor]: Taking taylor expansion of y in x
3.274 * [backup-simplify]: Simplify y into y
3.274 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.274 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.274 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.274 * [taylor]: Taking taylor expansion of x in x
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 1 into 1
3.275 * [backup-simplify]: Simplify (* 1 1) into 1
3.275 * [backup-simplify]: Simplify (/ 1 1) into 1
3.275 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.276 * [backup-simplify]: Simplify (+ 0 1) into 1
3.276 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.276 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.276 * [backup-simplify]: Simplify (+ 1 0) into 1
3.276 * [taylor]: Taking taylor expansion of 1 in y
3.276 * [backup-simplify]: Simplify 1 into 1
3.276 * [backup-simplify]: Simplify 1 into 1
3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.278 * [backup-simplify]: Simplify (+ 0 0) into 0
3.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.281 * [backup-simplify]: Simplify (+ 0 0) into 0
3.281 * [taylor]: Taking taylor expansion of 0 in y
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.283 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.284 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.285 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
3.286 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
3.286 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
3.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.286 * [taylor]: Taking taylor expansion of 2 in y
3.286 * [backup-simplify]: Simplify 2 into 2
3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.286 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.286 * [taylor]: Taking taylor expansion of y in y
3.286 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify 1 into 1
3.287 * [backup-simplify]: Simplify (* 1 1) into 1
3.287 * [backup-simplify]: Simplify (/ 1 1) into 1
3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.291 * [backup-simplify]: Simplify (- 0) into 0
3.291 * [backup-simplify]: Simplify 0 into 0
3.291 * [backup-simplify]: Simplify 0 into 0
3.291 * [backup-simplify]: Simplify 0 into 0
3.292 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.294 * [backup-simplify]: Simplify (+ 0 0) into 0
3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
3.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.299 * [backup-simplify]: Simplify (+ 0 0) into 0
3.300 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.300 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0
3.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.301 * [backup-simplify]: Simplify (- 0) into 0
3.301 * [backup-simplify]: Simplify (+ 0 0) into 0
3.301 * [taylor]: Taking taylor expansion of 0 in y
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 1 into 1
3.302 * [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))))))
3.302 * [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
3.302 * [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
3.302 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.302 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.302 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.302 * [taylor]: Taking taylor expansion of x in y
3.303 * [backup-simplify]: Simplify x into x
3.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.303 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.303 * [taylor]: Taking taylor expansion of y in y
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify 1 into 1
3.303 * [backup-simplify]: Simplify (* 1 1) into 1
3.303 * [backup-simplify]: Simplify (/ 1 1) into 1
3.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.304 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.304 * [taylor]: Taking taylor expansion of x in y
3.304 * [backup-simplify]: Simplify x into x
3.304 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.304 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.304 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.305 * [backup-simplify]: Simplify (+ 1 0) into 1
3.305 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
3.305 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.305 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.305 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.305 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.305 * [taylor]: Taking taylor expansion of y in y
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 1 into 1
3.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.305 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.305 * [taylor]: Taking taylor expansion of y in y
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 1 into 1
3.306 * [backup-simplify]: Simplify (* 1 1) into 1
3.306 * [backup-simplify]: Simplify (/ 1 1) into 1
3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.306 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.306 * [taylor]: Taking taylor expansion of x in y
3.306 * [backup-simplify]: Simplify x into x
3.306 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.307 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.307 * [backup-simplify]: Simplify (* 1 1) into 1
3.307 * [backup-simplify]: Simplify (+ 1 0) into 1
3.308 * [backup-simplify]: Simplify (* 1 1) into 1
3.308 * [backup-simplify]: Simplify (/ 1 1) into 1
3.308 * [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
3.308 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.308 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.308 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.308 * [taylor]: Taking taylor expansion of x in x
3.308 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify 1 into 1
3.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.308 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.309 * [taylor]: Taking taylor expansion of y in x
3.309 * [backup-simplify]: Simplify y into y
3.309 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.309 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.309 * [taylor]: Taking taylor expansion of x in x
3.309 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify 1 into 1
3.309 * [backup-simplify]: Simplify (* 1 1) into 1
3.310 * [backup-simplify]: Simplify (/ 1 1) into 1
3.310 * [backup-simplify]: Simplify (* 1 1) into 1
3.310 * [backup-simplify]: Simplify (+ 0 1) into 1
3.311 * [backup-simplify]: Simplify (* 1 1) into 1
3.311 * [backup-simplify]: Simplify (/ 1 1) into 1
3.311 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.311 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.311 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.311 * [taylor]: Taking taylor expansion of y in x
3.311 * [backup-simplify]: Simplify y into y
3.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.311 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.311 * [taylor]: Taking taylor expansion of y in x
3.311 * [backup-simplify]: Simplify y into y
3.312 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.312 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.312 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.312 * [taylor]: Taking taylor expansion of x in x
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [backup-simplify]: Simplify 1 into 1
3.312 * [backup-simplify]: Simplify (* 1 1) into 1
3.312 * [backup-simplify]: Simplify (/ 1 1) into 1
3.313 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.313 * [backup-simplify]: Simplify (+ 0 1) into 1
3.313 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.313 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.313 * [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
3.313 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.313 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.313 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.313 * [taylor]: Taking taylor expansion of x in x
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify 1 into 1
3.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.314 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.314 * [taylor]: Taking taylor expansion of y in x
3.314 * [backup-simplify]: Simplify y into y
3.314 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.314 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.314 * [taylor]: Taking taylor expansion of x in x
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 1 into 1
3.314 * [backup-simplify]: Simplify (* 1 1) into 1
3.315 * [backup-simplify]: Simplify (/ 1 1) into 1
3.315 * [backup-simplify]: Simplify (* 1 1) into 1
3.315 * [backup-simplify]: Simplify (+ 0 1) into 1
3.316 * [backup-simplify]: Simplify (* 1 1) into 1
3.316 * [backup-simplify]: Simplify (/ 1 1) into 1
3.316 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.316 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.316 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.316 * [taylor]: Taking taylor expansion of y in x
3.316 * [backup-simplify]: Simplify y into y
3.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.316 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.316 * [taylor]: Taking taylor expansion of y in x
3.316 * [backup-simplify]: Simplify y into y
3.316 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.317 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.317 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.317 * [taylor]: Taking taylor expansion of x in x
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify 1 into 1
3.317 * [backup-simplify]: Simplify (* 1 1) into 1
3.317 * [backup-simplify]: Simplify (/ 1 1) into 1
3.318 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.318 * [backup-simplify]: Simplify (+ 0 1) into 1
3.318 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.318 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.319 * [backup-simplify]: Simplify (+ 1 0) into 1
3.319 * [taylor]: Taking taylor expansion of 1 in y
3.319 * [backup-simplify]: Simplify 1 into 1
3.319 * [backup-simplify]: Simplify 1 into 1
3.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.320 * [backup-simplify]: Simplify (+ 0 0) into 0
3.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.323 * [backup-simplify]: Simplify (+ 0 0) into 0
3.323 * [taylor]: Taking taylor expansion of 0 in y
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.325 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.327 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.328 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
3.328 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
3.328 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
3.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.328 * [taylor]: Taking taylor expansion of 2 in y
3.328 * [backup-simplify]: Simplify 2 into 2
3.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.328 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.328 * [taylor]: Taking taylor expansion of y in y
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
3.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.334 * [backup-simplify]: Simplify (- 0) into 0
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.337 * [backup-simplify]: Simplify (+ 0 0) into 0
3.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.342 * [backup-simplify]: Simplify (+ 0 0) into 0
3.342 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.343 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0
3.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.343 * [backup-simplify]: Simplify (- 0) into 0
3.345 * [backup-simplify]: Simplify (+ 0 0) into 0
3.345 * [taylor]: Taking taylor expansion of 0 in y
3.345 * [backup-simplify]: Simplify 0 into 0
3.345 * [backup-simplify]: Simplify 0 into 0
3.345 * [backup-simplify]: Simplify 1 into 1
3.345 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
3.346 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
3.346 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
3.346 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.346 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.346 * [taylor]: Taking taylor expansion of y in y
3.346 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify 1 into 1
3.346 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.346 * [taylor]: Taking taylor expansion of x in y
3.346 * [backup-simplify]: Simplify x into x
3.346 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.346 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.346 * [taylor]: Taking taylor expansion of y in x
3.346 * [backup-simplify]: Simplify y into y
3.346 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.346 * [taylor]: Taking taylor expansion of x in x
3.346 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify 1 into 1
3.346 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.346 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.346 * [taylor]: Taking taylor expansion of y in x
3.346 * [backup-simplify]: Simplify y into y
3.346 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.346 * [taylor]: Taking taylor expansion of x in x
3.346 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify 1 into 1
3.346 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.347 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.347 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.347 * [taylor]: Taking taylor expansion of y in y
3.347 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify 1 into 1
3.347 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.347 * [backup-simplify]: Simplify (+ 0 0) into 0
3.347 * [taylor]: Taking taylor expansion of 0 in y
3.347 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.348 * [backup-simplify]: Simplify (* 1 1) into 1
3.349 * [backup-simplify]: Simplify (+ 0 1) into 1
3.349 * [taylor]: Taking taylor expansion of 1 in y
3.349 * [backup-simplify]: Simplify 1 into 1
3.349 * [backup-simplify]: Simplify 1 into 1
3.349 * [backup-simplify]: Simplify 0 into 0
3.349 * [backup-simplify]: Simplify (* 1 1) into 1
3.349 * [backup-simplify]: Simplify 1 into 1
3.350 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.351 * [backup-simplify]: Simplify (+ 0 0) into 0
3.351 * [taylor]: Taking taylor expansion of 0 in y
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.352 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.353 * [backup-simplify]: Simplify (+ 0 0) into 0
3.353 * [taylor]: Taking taylor expansion of 0 in y
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
3.353 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
3.353 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
3.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.353 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.353 * [taylor]: Taking taylor expansion of y in y
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 1 into 1
3.354 * [backup-simplify]: Simplify (* 1 1) into 1
3.354 * [backup-simplify]: Simplify (/ 1 1) into 1
3.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.354 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.354 * [taylor]: Taking taylor expansion of x in y
3.354 * [backup-simplify]: Simplify x into x
3.354 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.354 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.354 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.354 * [taylor]: Taking taylor expansion of y in x
3.354 * [backup-simplify]: Simplify y into y
3.354 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.354 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.354 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.354 * [taylor]: Taking taylor expansion of x in x
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.355 * [backup-simplify]: Simplify (* 1 1) into 1
3.355 * [backup-simplify]: Simplify (/ 1 1) into 1
3.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.355 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.355 * [taylor]: Taking taylor expansion of y in x
3.355 * [backup-simplify]: Simplify y into y
3.355 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.355 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.355 * [taylor]: Taking taylor expansion of x in x
3.355 * [backup-simplify]: Simplify 0 into 0
3.355 * [backup-simplify]: Simplify 1 into 1
3.355 * [backup-simplify]: Simplify (* 1 1) into 1
3.356 * [backup-simplify]: Simplify (/ 1 1) into 1
3.356 * [backup-simplify]: Simplify (+ 0 1) into 1
3.356 * [taylor]: Taking taylor expansion of 1 in y
3.356 * [backup-simplify]: Simplify 1 into 1
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 * [taylor]: Taking taylor expansion of 0 in y
3.357 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.358 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.358 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.358 * [taylor]: Taking taylor expansion of y in y
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify 1 into 1
3.359 * [backup-simplify]: Simplify (* 1 1) into 1
3.359 * [backup-simplify]: Simplify (/ 1 1) into 1
3.359 * [backup-simplify]: Simplify 1 into 1
3.359 * [backup-simplify]: Simplify 1 into 1
3.359 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.361 * [backup-simplify]: Simplify (+ 0 0) into 0
3.361 * [taylor]: Taking taylor expansion of 0 in y
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.363 * [backup-simplify]: Simplify (+ 0 0) into 0
3.363 * [taylor]: Taking taylor expansion of 0 in y
3.363 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
3.365 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
3.365 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
3.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.365 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.365 * [taylor]: Taking taylor expansion of y in y
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 1 into 1
3.365 * [backup-simplify]: Simplify (* 1 1) into 1
3.366 * [backup-simplify]: Simplify (/ 1 1) into 1
3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.366 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.366 * [taylor]: Taking taylor expansion of x in y
3.366 * [backup-simplify]: Simplify x into x
3.366 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.366 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.366 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.366 * [taylor]: Taking taylor expansion of y in x
3.366 * [backup-simplify]: Simplify y into y
3.366 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.366 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.366 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.366 * [taylor]: Taking taylor expansion of x in x
3.366 * [backup-simplify]: Simplify 0 into 0
3.366 * [backup-simplify]: Simplify 1 into 1
3.366 * [backup-simplify]: Simplify (* 1 1) into 1
3.367 * [backup-simplify]: Simplify (/ 1 1) into 1
3.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.367 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.367 * [taylor]: Taking taylor expansion of y in x
3.367 * [backup-simplify]: Simplify y into y
3.367 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.367 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.367 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.367 * [taylor]: Taking taylor expansion of x in x
3.367 * [backup-simplify]: Simplify 0 into 0
3.367 * [backup-simplify]: Simplify 1 into 1
3.367 * [backup-simplify]: Simplify (* 1 1) into 1
3.367 * [backup-simplify]: Simplify (/ 1 1) into 1
3.368 * [backup-simplify]: Simplify (+ 0 1) into 1
3.368 * [taylor]: Taking taylor expansion of 1 in y
3.368 * [backup-simplify]: Simplify 1 into 1
3.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.369 * [backup-simplify]: Simplify (+ 0 0) into 0
3.369 * [taylor]: Taking taylor expansion of 0 in y
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.370 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.370 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.370 * [taylor]: Taking taylor expansion of y in y
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify 1 into 1
3.370 * [backup-simplify]: Simplify (* 1 1) into 1
3.371 * [backup-simplify]: Simplify (/ 1 1) into 1
3.371 * [backup-simplify]: Simplify 1 into 1
3.371 * [backup-simplify]: Simplify 1 into 1
3.371 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.372 * [backup-simplify]: Simplify (+ 0 0) into 0
3.372 * [taylor]: Taking taylor expansion of 0 in y
3.372 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.375 * [backup-simplify]: Simplify (+ 0 0) into 0
3.375 * [taylor]: Taking taylor expansion of 0 in y
3.375 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.376 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
3.377 * * * [progress]: simplifying candidates
3.378 * [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))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  0
  0
  0
  0
  0
  0
  -1
  1
  1
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
3.379 * * [simplify]: iteration 0: 128 enodes
3.432 * * [simplify]: iteration 1: 425 enodes
3.966 * * [simplify]: iteration 2: 3546 enodes
5.600 * * [simplify]: iteration complete: 5002 enodes
5.600 * * [simplify]: Extracting #0: cost 79 inf + 0
5.602 * * [simplify]: Extracting #1: cost 514 inf + 46
5.612 * * [simplify]: Extracting #2: cost 1699 inf + 10757
5.661 * * [simplify]: Extracting #3: cost 810 inf + 189907
5.742 * * [simplify]: Extracting #4: cost 35 inf + 310232
5.851 * * [simplify]: Extracting #5: cost 1 inf + 317368
5.952 * * [simplify]: Extracting #6: cost 0 inf + 317610
6.027 * [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 (cbrt (+ (* x x) (* y 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 (cbrt (+ (* x x) (* y y)))) (/ x (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))) (/ (* 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))))
  (+ (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))))
  (exp (+ (* y y) (* x x)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* y y) (* x x)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (* (* (* y y) y) (* (* y y) y)) (* (* x x) (* (* x x) (* x x))))
  (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x)))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (- (* x x) (* y y))
  0
  0
  0
  0
  0
  0
  -1
  1
  1
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
6.033 * * * [progress]: adding candidates to table
6.467 * * [progress]: iteration 2 / 4
6.467 * * * [progress]: picking best candidate
6.494 * * * * [pick]: Picked  #<alt (λ (x y) -1)>
6.494 * * * [progress]: localizing error
6.495 * * * [progress]: generating rewritten candidates
6.495 * * * [progress]: generating series expansions
6.495 * * * [progress]: simplifying candidates
6.495 * [simplify]: Simplifying:
  
6.495 * * [simplify]: iteration 0: 0 enodes
6.495 * * [simplify]: iteration complete: 0 enodes
6.495 * * [simplify]: Extracting #0: cost 0 inf + 0
6.496 * [simplify]: Simplified to:
  
6.496 * * * [progress]: adding candidates to table
6.497 * * [progress]: iteration 3 / 4
6.497 * * * [progress]: picking best candidate
6.519 * * * * [pick]: Picked  #<alt (λ (x 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))))))))>
6.519 * * * [progress]: localizing error
6.679 * * * [progress]: generating rewritten candidates
6.679 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 2)
6.696 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2)
6.711 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1)
6.732 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2)
6.762 * * * [progress]: generating series expansions
6.762 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 2)
6.763 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
6.763 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
6.763 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
6.763 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.763 * [taylor]: Taking taylor expansion of y in x
6.763 * [backup-simplify]: Simplify y into y
6.763 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
6.763 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.763 * [taylor]: Taking taylor expansion of y in x
6.763 * [backup-simplify]: Simplify y into y
6.763 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.763 * [taylor]: Taking taylor expansion of x in x
6.763 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify 1 into 1
6.763 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.763 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.763 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
6.763 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
6.763 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
6.763 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.764 * [taylor]: Taking taylor expansion of y in y
6.764 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify 1 into 1
6.764 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.764 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.764 * [taylor]: Taking taylor expansion of y in y
6.764 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify 1 into 1
6.764 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.764 * [taylor]: Taking taylor expansion of x in y
6.764 * [backup-simplify]: Simplify x into x
6.764 * [backup-simplify]: Simplify (* 1 1) into 1
6.765 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.765 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.765 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.765 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
6.765 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.765 * [taylor]: Taking taylor expansion of y in y
6.765 * [backup-simplify]: Simplify 0 into 0
6.765 * [backup-simplify]: Simplify 1 into 1
6.765 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.765 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.765 * [taylor]: Taking taylor expansion of y in y
6.765 * [backup-simplify]: Simplify 0 into 0
6.765 * [backup-simplify]: Simplify 1 into 1
6.765 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.765 * [taylor]: Taking taylor expansion of x in y
6.765 * [backup-simplify]: Simplify x into x
6.766 * [backup-simplify]: Simplify (* 1 1) into 1
6.766 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.766 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.766 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.766 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.766 * [taylor]: Taking taylor expansion of x in x
6.766 * [backup-simplify]: Simplify 0 into 0
6.766 * [backup-simplify]: Simplify 1 into 1
6.767 * [backup-simplify]: Simplify (* 1 1) into 1
6.767 * [backup-simplify]: Simplify (/ 1 1) into 1
6.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.771 * [backup-simplify]: Simplify 0 into 0
6.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.771 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.771 * [backup-simplify]: Simplify (+ 0 0) into 0
6.772 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
6.772 * [taylor]: Taking taylor expansion of 0 in x
6.772 * [backup-simplify]: Simplify 0 into 0
6.772 * [backup-simplify]: Simplify 0 into 0
6.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.773 * [backup-simplify]: Simplify 0 into 0
6.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.774 * [backup-simplify]: Simplify (* 1 1) into 1
6.774 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
6.774 * [backup-simplify]: Simplify (+ 1 0) into 1
6.774 * [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)))
6.774 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
6.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
6.775 * [taylor]: Taking taylor expansion of (pow x 4) in x
6.775 * [taylor]: Taking taylor expansion of x in x
6.775 * [backup-simplify]: Simplify 0 into 0
6.775 * [backup-simplify]: Simplify 1 into 1
6.775 * [backup-simplify]: Simplify (* 1 1) into 1
6.775 * [backup-simplify]: Simplify (* 1 1) into 1
6.775 * [backup-simplify]: Simplify (/ 1 1) into 1
6.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.782 * [backup-simplify]: Simplify (- 0) into 0
6.782 * [backup-simplify]: Simplify 0 into 0
6.782 * [backup-simplify]: Simplify 0 into 0
6.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.783 * [backup-simplify]: Simplify 0 into 0
6.783 * [backup-simplify]: Simplify 0 into 0
6.783 * [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)))))
6.783 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
6.784 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.784 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.784 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.784 * [taylor]: Taking taylor expansion of y in x
6.784 * [backup-simplify]: Simplify y into y
6.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.784 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.784 * [taylor]: Taking taylor expansion of y in x
6.784 * [backup-simplify]: Simplify y into y
6.784 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.784 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.784 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.784 * [taylor]: Taking taylor expansion of x in x
6.784 * [backup-simplify]: Simplify 0 into 0
6.784 * [backup-simplify]: Simplify 1 into 1
6.784 * [backup-simplify]: Simplify (* 1 1) into 1
6.784 * [backup-simplify]: Simplify (/ 1 1) into 1
6.784 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.785 * [backup-simplify]: Simplify (+ 0 1) into 1
6.785 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
6.785 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.785 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.785 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.785 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.785 * [taylor]: Taking taylor expansion of y in y
6.785 * [backup-simplify]: Simplify 0 into 0
6.785 * [backup-simplify]: Simplify 1 into 1
6.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.785 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.785 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.785 * [taylor]: Taking taylor expansion of y in y
6.785 * [backup-simplify]: Simplify 0 into 0
6.785 * [backup-simplify]: Simplify 1 into 1
6.785 * [backup-simplify]: Simplify (* 1 1) into 1
6.786 * [backup-simplify]: Simplify (/ 1 1) into 1
6.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.786 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.786 * [taylor]: Taking taylor expansion of x in y
6.786 * [backup-simplify]: Simplify x into x
6.786 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.786 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.786 * [backup-simplify]: Simplify (* 1 1) into 1
6.786 * [backup-simplify]: Simplify (+ 1 0) into 1
6.787 * [backup-simplify]: Simplify (* 1 1) into 1
6.787 * [backup-simplify]: Simplify (/ 1 1) into 1
6.787 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.787 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.787 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.787 * [taylor]: Taking taylor expansion of y in y
6.787 * [backup-simplify]: Simplify 0 into 0
6.787 * [backup-simplify]: Simplify 1 into 1
6.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.787 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.787 * [taylor]: Taking taylor expansion of y in y
6.787 * [backup-simplify]: Simplify 0 into 0
6.787 * [backup-simplify]: Simplify 1 into 1
6.787 * [backup-simplify]: Simplify (* 1 1) into 1
6.788 * [backup-simplify]: Simplify (/ 1 1) into 1
6.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.788 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.788 * [taylor]: Taking taylor expansion of x in y
6.788 * [backup-simplify]: Simplify x into x
6.788 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.788 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.788 * [backup-simplify]: Simplify (* 1 1) into 1
6.788 * [backup-simplify]: Simplify (+ 1 0) into 1
6.789 * [backup-simplify]: Simplify (* 1 1) into 1
6.789 * [backup-simplify]: Simplify (/ 1 1) into 1
6.789 * [taylor]: Taking taylor expansion of 1 in x
6.789 * [backup-simplify]: Simplify 1 into 1
6.789 * [backup-simplify]: Simplify 0 into 0
6.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.790 * [backup-simplify]: Simplify (+ 0 0) into 0
6.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.791 * [taylor]: Taking taylor expansion of 0 in x
6.791 * [backup-simplify]: Simplify 0 into 0
6.791 * [backup-simplify]: Simplify 0 into 0
6.791 * [backup-simplify]: Simplify 0 into 0
6.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.792 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
6.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.793 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
6.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
6.794 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
6.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.794 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.794 * [taylor]: Taking taylor expansion of x in x
6.794 * [backup-simplify]: Simplify 0 into 0
6.794 * [backup-simplify]: Simplify 1 into 1
6.794 * [backup-simplify]: Simplify (* 1 1) into 1
6.795 * [backup-simplify]: Simplify (/ 1 1) into 1
6.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.799 * [backup-simplify]: Simplify (- 0) into 0
6.799 * [backup-simplify]: Simplify 0 into 0
6.799 * [backup-simplify]: Simplify 0 into 0
6.799 * [backup-simplify]: Simplify 0 into 0
6.799 * [backup-simplify]: Simplify 0 into 0
6.799 * [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)))))
6.799 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
6.799 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.799 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.800 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.800 * [taylor]: Taking taylor expansion of y in x
6.800 * [backup-simplify]: Simplify y into y
6.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.800 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.800 * [taylor]: Taking taylor expansion of y in x
6.800 * [backup-simplify]: Simplify y into y
6.800 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.800 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.800 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.800 * [taylor]: Taking taylor expansion of x in x
6.800 * [backup-simplify]: Simplify 0 into 0
6.800 * [backup-simplify]: Simplify 1 into 1
6.800 * [backup-simplify]: Simplify (* 1 1) into 1
6.800 * [backup-simplify]: Simplify (/ 1 1) into 1
6.800 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.801 * [backup-simplify]: Simplify (+ 0 1) into 1
6.801 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
6.801 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.801 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.801 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.801 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.801 * [taylor]: Taking taylor expansion of y in y
6.801 * [backup-simplify]: Simplify 0 into 0
6.801 * [backup-simplify]: Simplify 1 into 1
6.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.801 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.801 * [taylor]: Taking taylor expansion of y in y
6.801 * [backup-simplify]: Simplify 0 into 0
6.801 * [backup-simplify]: Simplify 1 into 1
6.801 * [backup-simplify]: Simplify (* 1 1) into 1
6.802 * [backup-simplify]: Simplify (/ 1 1) into 1
6.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.802 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.802 * [taylor]: Taking taylor expansion of x in y
6.802 * [backup-simplify]: Simplify x into x
6.802 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.802 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.802 * [backup-simplify]: Simplify (* 1 1) into 1
6.802 * [backup-simplify]: Simplify (+ 1 0) into 1
6.803 * [backup-simplify]: Simplify (* 1 1) into 1
6.803 * [backup-simplify]: Simplify (/ 1 1) into 1
6.803 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.803 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.803 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.803 * [taylor]: Taking taylor expansion of y in y
6.803 * [backup-simplify]: Simplify 0 into 0
6.803 * [backup-simplify]: Simplify 1 into 1
6.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.803 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.803 * [taylor]: Taking taylor expansion of y in y
6.803 * [backup-simplify]: Simplify 0 into 0
6.803 * [backup-simplify]: Simplify 1 into 1
6.803 * [backup-simplify]: Simplify (* 1 1) into 1
6.804 * [backup-simplify]: Simplify (/ 1 1) into 1
6.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.804 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.804 * [taylor]: Taking taylor expansion of x in y
6.804 * [backup-simplify]: Simplify x into x
6.804 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.804 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.804 * [backup-simplify]: Simplify (* 1 1) into 1
6.804 * [backup-simplify]: Simplify (+ 1 0) into 1
6.805 * [backup-simplify]: Simplify (* 1 1) into 1
6.805 * [backup-simplify]: Simplify (/ 1 1) into 1
6.805 * [taylor]: Taking taylor expansion of 1 in x
6.805 * [backup-simplify]: Simplify 1 into 1
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.806 * [backup-simplify]: Simplify (+ 0 0) into 0
6.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.807 * [taylor]: Taking taylor expansion of 0 in x
6.807 * [backup-simplify]: Simplify 0 into 0
6.807 * [backup-simplify]: Simplify 0 into 0
6.807 * [backup-simplify]: Simplify 0 into 0
6.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.808 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
6.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.810 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
6.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
6.810 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
6.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.810 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.810 * [taylor]: Taking taylor expansion of x in x
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [backup-simplify]: Simplify 1 into 1
6.810 * [backup-simplify]: Simplify (* 1 1) into 1
6.811 * [backup-simplify]: Simplify (/ 1 1) into 1
6.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.815 * [backup-simplify]: Simplify (- 0) into 0
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2)
6.815 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
6.815 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
6.815 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
6.816 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.816 * [taylor]: Taking taylor expansion of y in x
6.816 * [backup-simplify]: Simplify y into y
6.816 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
6.816 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.816 * [taylor]: Taking taylor expansion of y in x
6.816 * [backup-simplify]: Simplify y into y
6.816 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.816 * [taylor]: Taking taylor expansion of x in x
6.816 * [backup-simplify]: Simplify 0 into 0
6.816 * [backup-simplify]: Simplify 1 into 1
6.816 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.816 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.816 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
6.816 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
6.816 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
6.816 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.816 * [taylor]: Taking taylor expansion of y in y
6.816 * [backup-simplify]: Simplify 0 into 0
6.816 * [backup-simplify]: Simplify 1 into 1
6.816 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.816 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.816 * [taylor]: Taking taylor expansion of y in y
6.816 * [backup-simplify]: Simplify 0 into 0
6.816 * [backup-simplify]: Simplify 1 into 1
6.816 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.816 * [taylor]: Taking taylor expansion of x in y
6.816 * [backup-simplify]: Simplify x into x
6.816 * [backup-simplify]: Simplify (* 1 1) into 1
6.817 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.817 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.817 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.817 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
6.817 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.817 * [taylor]: Taking taylor expansion of y in y
6.817 * [backup-simplify]: Simplify 0 into 0
6.817 * [backup-simplify]: Simplify 1 into 1
6.817 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.817 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.817 * [taylor]: Taking taylor expansion of y in y
6.817 * [backup-simplify]: Simplify 0 into 0
6.817 * [backup-simplify]: Simplify 1 into 1
6.817 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.817 * [taylor]: Taking taylor expansion of x in y
6.817 * [backup-simplify]: Simplify x into x
6.817 * [backup-simplify]: Simplify (* 1 1) into 1
6.817 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.817 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.817 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.818 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.818 * [taylor]: Taking taylor expansion of x in x
6.818 * [backup-simplify]: Simplify 0 into 0
6.818 * [backup-simplify]: Simplify 1 into 1
6.818 * [backup-simplify]: Simplify (* 1 1) into 1
6.818 * [backup-simplify]: Simplify (/ 1 1) into 1
6.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.820 * [backup-simplify]: Simplify 0 into 0
6.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.820 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.821 * [backup-simplify]: Simplify (+ 0 0) into 0
6.821 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
6.821 * [taylor]: Taking taylor expansion of 0 in x
6.821 * [backup-simplify]: Simplify 0 into 0
6.821 * [backup-simplify]: Simplify 0 into 0
6.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.822 * [backup-simplify]: Simplify 0 into 0
6.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.823 * [backup-simplify]: Simplify (* 1 1) into 1
6.823 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
6.824 * [backup-simplify]: Simplify (+ 1 0) into 1
6.824 * [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)))
6.824 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
6.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
6.824 * [taylor]: Taking taylor expansion of (pow x 4) in x
6.824 * [taylor]: Taking taylor expansion of x in x
6.824 * [backup-simplify]: Simplify 0 into 0
6.824 * [backup-simplify]: Simplify 1 into 1
6.824 * [backup-simplify]: Simplify (* 1 1) into 1
6.825 * [backup-simplify]: Simplify (* 1 1) into 1
6.825 * [backup-simplify]: Simplify (/ 1 1) into 1
6.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.839 * [backup-simplify]: Simplify (- 0) into 0
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify 0 into 0
6.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.841 * [backup-simplify]: Simplify 0 into 0
6.841 * [backup-simplify]: Simplify 0 into 0
6.842 * [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)))))
6.842 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
6.842 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.842 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.842 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.842 * [taylor]: Taking taylor expansion of y in x
6.842 * [backup-simplify]: Simplify y into y
6.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.842 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.842 * [taylor]: Taking taylor expansion of y in x
6.842 * [backup-simplify]: Simplify y into y
6.842 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.842 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.842 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.842 * [taylor]: Taking taylor expansion of x in x
6.842 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify 1 into 1
6.843 * [backup-simplify]: Simplify (* 1 1) into 1
6.843 * [backup-simplify]: Simplify (/ 1 1) into 1
6.843 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.844 * [backup-simplify]: Simplify (+ 0 1) into 1
6.844 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
6.844 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.844 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.844 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.844 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.844 * [taylor]: Taking taylor expansion of y in y
6.844 * [backup-simplify]: Simplify 0 into 0
6.844 * [backup-simplify]: Simplify 1 into 1
6.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.844 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.844 * [taylor]: Taking taylor expansion of y in y
6.844 * [backup-simplify]: Simplify 0 into 0
6.844 * [backup-simplify]: Simplify 1 into 1
6.845 * [backup-simplify]: Simplify (* 1 1) into 1
6.845 * [backup-simplify]: Simplify (/ 1 1) into 1
6.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.845 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.845 * [taylor]: Taking taylor expansion of x in y
6.845 * [backup-simplify]: Simplify x into x
6.845 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.845 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.846 * [backup-simplify]: Simplify (* 1 1) into 1
6.846 * [backup-simplify]: Simplify (+ 1 0) into 1
6.847 * [backup-simplify]: Simplify (* 1 1) into 1
6.847 * [backup-simplify]: Simplify (/ 1 1) into 1
6.847 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.847 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.847 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.847 * [taylor]: Taking taylor expansion of y in y
6.847 * [backup-simplify]: Simplify 0 into 0
6.847 * [backup-simplify]: Simplify 1 into 1
6.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.847 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.847 * [taylor]: Taking taylor expansion of y in y
6.847 * [backup-simplify]: Simplify 0 into 0
6.847 * [backup-simplify]: Simplify 1 into 1
6.848 * [backup-simplify]: Simplify (* 1 1) into 1
6.848 * [backup-simplify]: Simplify (/ 1 1) into 1
6.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.848 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.848 * [taylor]: Taking taylor expansion of x in y
6.848 * [backup-simplify]: Simplify x into x
6.848 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.848 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.849 * [backup-simplify]: Simplify (* 1 1) into 1
6.849 * [backup-simplify]: Simplify (+ 1 0) into 1
6.849 * [backup-simplify]: Simplify (* 1 1) into 1
6.850 * [backup-simplify]: Simplify (/ 1 1) into 1
6.850 * [taylor]: Taking taylor expansion of 1 in x
6.850 * [backup-simplify]: Simplify 1 into 1
6.850 * [backup-simplify]: Simplify 0 into 0
6.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.852 * [backup-simplify]: Simplify (+ 0 0) into 0
6.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.854 * [taylor]: Taking taylor expansion of 0 in x
6.854 * [backup-simplify]: Simplify 0 into 0
6.854 * [backup-simplify]: Simplify 0 into 0
6.854 * [backup-simplify]: Simplify 0 into 0
6.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.856 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
6.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.858 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
6.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
6.858 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
6.858 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.858 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.858 * [taylor]: Taking taylor expansion of x in x
6.858 * [backup-simplify]: Simplify 0 into 0
6.858 * [backup-simplify]: Simplify 1 into 1
6.859 * [backup-simplify]: Simplify (* 1 1) into 1
6.859 * [backup-simplify]: Simplify (/ 1 1) into 1
6.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.863 * [backup-simplify]: Simplify (- 0) into 0
6.863 * [backup-simplify]: Simplify 0 into 0
6.863 * [backup-simplify]: Simplify 0 into 0
6.863 * [backup-simplify]: Simplify 0 into 0
6.863 * [backup-simplify]: Simplify 0 into 0
6.864 * [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)))))
6.864 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
6.864 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.864 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.864 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.864 * [taylor]: Taking taylor expansion of y in x
6.864 * [backup-simplify]: Simplify y into y
6.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.864 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.864 * [taylor]: Taking taylor expansion of y in x
6.864 * [backup-simplify]: Simplify y into y
6.864 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.864 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.864 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.864 * [taylor]: Taking taylor expansion of x in x
6.864 * [backup-simplify]: Simplify 0 into 0
6.864 * [backup-simplify]: Simplify 1 into 1
6.864 * [backup-simplify]: Simplify (* 1 1) into 1
6.865 * [backup-simplify]: Simplify (/ 1 1) into 1
6.865 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.865 * [backup-simplify]: Simplify (+ 0 1) into 1
6.865 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
6.865 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.865 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.865 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.865 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.865 * [taylor]: Taking taylor expansion of y in y
6.865 * [backup-simplify]: Simplify 0 into 0
6.865 * [backup-simplify]: Simplify 1 into 1
6.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.865 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.865 * [taylor]: Taking taylor expansion of y in y
6.865 * [backup-simplify]: Simplify 0 into 0
6.865 * [backup-simplify]: Simplify 1 into 1
6.865 * [backup-simplify]: Simplify (* 1 1) into 1
6.866 * [backup-simplify]: Simplify (/ 1 1) into 1
6.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.866 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.866 * [taylor]: Taking taylor expansion of x in y
6.866 * [backup-simplify]: Simplify x into x
6.866 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.866 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.866 * [backup-simplify]: Simplify (* 1 1) into 1
6.866 * [backup-simplify]: Simplify (+ 1 0) into 1
6.867 * [backup-simplify]: Simplify (* 1 1) into 1
6.867 * [backup-simplify]: Simplify (/ 1 1) into 1
6.867 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.867 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.867 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.867 * [taylor]: Taking taylor expansion of y in y
6.867 * [backup-simplify]: Simplify 0 into 0
6.867 * [backup-simplify]: Simplify 1 into 1
6.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.867 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.867 * [taylor]: Taking taylor expansion of y in y
6.867 * [backup-simplify]: Simplify 0 into 0
6.867 * [backup-simplify]: Simplify 1 into 1
6.867 * [backup-simplify]: Simplify (* 1 1) into 1
6.868 * [backup-simplify]: Simplify (/ 1 1) into 1
6.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.868 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.868 * [taylor]: Taking taylor expansion of x in y
6.868 * [backup-simplify]: Simplify x into x
6.868 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.868 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.868 * [backup-simplify]: Simplify (* 1 1) into 1
6.868 * [backup-simplify]: Simplify (+ 1 0) into 1
6.869 * [backup-simplify]: Simplify (* 1 1) into 1
6.869 * [backup-simplify]: Simplify (/ 1 1) into 1
6.869 * [taylor]: Taking taylor expansion of 1 in x
6.869 * [backup-simplify]: Simplify 1 into 1
6.869 * [backup-simplify]: Simplify 0 into 0
6.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.870 * [backup-simplify]: Simplify (+ 0 0) into 0
6.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.871 * [taylor]: Taking taylor expansion of 0 in x
6.871 * [backup-simplify]: Simplify 0 into 0
6.871 * [backup-simplify]: Simplify 0 into 0
6.871 * [backup-simplify]: Simplify 0 into 0
6.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.872 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
6.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.873 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
6.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
6.874 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
6.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.874 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.874 * [taylor]: Taking taylor expansion of x in x
6.874 * [backup-simplify]: Simplify 0 into 0
6.874 * [backup-simplify]: Simplify 1 into 1
6.874 * [backup-simplify]: Simplify (* 1 1) into 1
6.874 * [backup-simplify]: Simplify (/ 1 1) into 1
6.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.879 * [backup-simplify]: Simplify (- 0) into 0
6.879 * [backup-simplify]: Simplify 0 into 0
6.879 * [backup-simplify]: Simplify 0 into 0
6.879 * [backup-simplify]: Simplify 0 into 0
6.879 * [backup-simplify]: Simplify 0 into 0
6.879 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1)
6.879 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
6.879 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
6.879 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
6.879 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.879 * [taylor]: Taking taylor expansion of y in x
6.879 * [backup-simplify]: Simplify y into y
6.879 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
6.879 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.879 * [taylor]: Taking taylor expansion of y in x
6.879 * [backup-simplify]: Simplify y into y
6.879 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.879 * [taylor]: Taking taylor expansion of x in x
6.879 * [backup-simplify]: Simplify 0 into 0
6.879 * [backup-simplify]: Simplify 1 into 1
6.880 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.880 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.880 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
6.880 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
6.880 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
6.880 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.880 * [taylor]: Taking taylor expansion of y in y
6.880 * [backup-simplify]: Simplify 0 into 0
6.880 * [backup-simplify]: Simplify 1 into 1
6.880 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.880 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.880 * [taylor]: Taking taylor expansion of y in y
6.880 * [backup-simplify]: Simplify 0 into 0
6.880 * [backup-simplify]: Simplify 1 into 1
6.880 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.880 * [taylor]: Taking taylor expansion of x in y
6.880 * [backup-simplify]: Simplify x into x
6.880 * [backup-simplify]: Simplify (* 1 1) into 1
6.880 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.880 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.880 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.881 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
6.881 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.881 * [taylor]: Taking taylor expansion of y in y
6.881 * [backup-simplify]: Simplify 0 into 0
6.881 * [backup-simplify]: Simplify 1 into 1
6.881 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.881 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.881 * [taylor]: Taking taylor expansion of y in y
6.881 * [backup-simplify]: Simplify 0 into 0
6.881 * [backup-simplify]: Simplify 1 into 1
6.881 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.881 * [taylor]: Taking taylor expansion of x in y
6.881 * [backup-simplify]: Simplify x into x
6.881 * [backup-simplify]: Simplify (* 1 1) into 1
6.881 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.881 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.881 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.881 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.881 * [taylor]: Taking taylor expansion of x in x
6.881 * [backup-simplify]: Simplify 0 into 0
6.881 * [backup-simplify]: Simplify 1 into 1
6.882 * [backup-simplify]: Simplify (* 1 1) into 1
6.882 * [backup-simplify]: Simplify (/ 1 1) into 1
6.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.884 * [backup-simplify]: Simplify 0 into 0
6.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.884 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.884 * [backup-simplify]: Simplify (+ 0 0) into 0
6.885 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
6.885 * [taylor]: Taking taylor expansion of 0 in x
6.885 * [backup-simplify]: Simplify 0 into 0
6.885 * [backup-simplify]: Simplify 0 into 0
6.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.886 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.887 * [backup-simplify]: Simplify (* 1 1) into 1
6.887 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
6.888 * [backup-simplify]: Simplify (+ 1 0) into 1
6.889 * [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)))
6.889 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
6.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
6.889 * [taylor]: Taking taylor expansion of (pow x 4) in x
6.889 * [taylor]: Taking taylor expansion of x in x
6.889 * [backup-simplify]: Simplify 0 into 0
6.889 * [backup-simplify]: Simplify 1 into 1
6.889 * [backup-simplify]: Simplify (* 1 1) into 1
6.890 * [backup-simplify]: Simplify (* 1 1) into 1
6.890 * [backup-simplify]: Simplify (/ 1 1) into 1
6.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.902 * [backup-simplify]: Simplify (- 0) into 0
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify 0 into 0
6.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.904 * [backup-simplify]: Simplify 0 into 0
6.904 * [backup-simplify]: Simplify 0 into 0
6.904 * [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)))))
6.904 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
6.904 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.904 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.904 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.904 * [taylor]: Taking taylor expansion of y in x
6.904 * [backup-simplify]: Simplify y into y
6.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.905 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.905 * [taylor]: Taking taylor expansion of y in x
6.905 * [backup-simplify]: Simplify y into y
6.905 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.905 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.905 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.905 * [taylor]: Taking taylor expansion of x in x
6.905 * [backup-simplify]: Simplify 0 into 0
6.905 * [backup-simplify]: Simplify 1 into 1
6.905 * [backup-simplify]: Simplify (* 1 1) into 1
6.906 * [backup-simplify]: Simplify (/ 1 1) into 1
6.906 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.906 * [backup-simplify]: Simplify (+ 0 1) into 1
6.906 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
6.906 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.906 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.906 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.906 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.906 * [taylor]: Taking taylor expansion of y in y
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 1 into 1
6.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.907 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.907 * [taylor]: Taking taylor expansion of y in y
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 1 into 1
6.907 * [backup-simplify]: Simplify (* 1 1) into 1
6.907 * [backup-simplify]: Simplify (/ 1 1) into 1
6.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.907 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.907 * [taylor]: Taking taylor expansion of x in y
6.907 * [backup-simplify]: Simplify x into x
6.907 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.907 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.908 * [backup-simplify]: Simplify (* 1 1) into 1
6.908 * [backup-simplify]: Simplify (+ 1 0) into 1
6.908 * [backup-simplify]: Simplify (* 1 1) into 1
6.908 * [backup-simplify]: Simplify (/ 1 1) into 1
6.908 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.908 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.908 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.908 * [taylor]: Taking taylor expansion of y in y
6.908 * [backup-simplify]: Simplify 0 into 0
6.908 * [backup-simplify]: Simplify 1 into 1
6.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.908 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.909 * [taylor]: Taking taylor expansion of y in y
6.909 * [backup-simplify]: Simplify 0 into 0
6.909 * [backup-simplify]: Simplify 1 into 1
6.909 * [backup-simplify]: Simplify (* 1 1) into 1
6.909 * [backup-simplify]: Simplify (/ 1 1) into 1
6.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.909 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.909 * [taylor]: Taking taylor expansion of x in y
6.909 * [backup-simplify]: Simplify x into x
6.909 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.909 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.909 * [backup-simplify]: Simplify (* 1 1) into 1
6.910 * [backup-simplify]: Simplify (+ 1 0) into 1
6.910 * [backup-simplify]: Simplify (* 1 1) into 1
6.910 * [backup-simplify]: Simplify (/ 1 1) into 1
6.910 * [taylor]: Taking taylor expansion of 1 in x
6.910 * [backup-simplify]: Simplify 1 into 1
6.910 * [backup-simplify]: Simplify 0 into 0
6.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.911 * [backup-simplify]: Simplify (+ 0 0) into 0
6.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.913 * [taylor]: Taking taylor expansion of 0 in x
6.913 * [backup-simplify]: Simplify 0 into 0
6.913 * [backup-simplify]: Simplify 0 into 0
6.913 * [backup-simplify]: Simplify 0 into 0
6.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.914 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
6.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.915 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
6.916 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
6.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.916 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.916 * [taylor]: Taking taylor expansion of x in x
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [backup-simplify]: Simplify 1 into 1
6.916 * [backup-simplify]: Simplify (* 1 1) into 1
6.916 * [backup-simplify]: Simplify (/ 1 1) into 1
6.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.921 * [backup-simplify]: Simplify (- 0) into 0
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [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)))))
6.921 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
6.921 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.921 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.921 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.921 * [taylor]: Taking taylor expansion of y in x
6.921 * [backup-simplify]: Simplify y into y
6.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.921 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.921 * [taylor]: Taking taylor expansion of y in x
6.921 * [backup-simplify]: Simplify y into y
6.921 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.921 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.921 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.921 * [taylor]: Taking taylor expansion of x in x
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify 1 into 1
6.922 * [backup-simplify]: Simplify (* 1 1) into 1
6.922 * [backup-simplify]: Simplify (/ 1 1) into 1
6.922 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.922 * [backup-simplify]: Simplify (+ 0 1) into 1
6.922 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
6.923 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.923 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.923 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.923 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.923 * [taylor]: Taking taylor expansion of y in y
6.923 * [backup-simplify]: Simplify 0 into 0
6.923 * [backup-simplify]: Simplify 1 into 1
6.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.923 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.923 * [taylor]: Taking taylor expansion of y in y
6.923 * [backup-simplify]: Simplify 0 into 0
6.923 * [backup-simplify]: Simplify 1 into 1
6.923 * [backup-simplify]: Simplify (* 1 1) into 1
6.923 * [backup-simplify]: Simplify (/ 1 1) into 1
6.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.923 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.923 * [taylor]: Taking taylor expansion of x in y
6.923 * [backup-simplify]: Simplify x into x
6.923 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.923 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.924 * [backup-simplify]: Simplify (* 1 1) into 1
6.924 * [backup-simplify]: Simplify (+ 1 0) into 1
6.924 * [backup-simplify]: Simplify (* 1 1) into 1
6.924 * [backup-simplify]: Simplify (/ 1 1) into 1
6.924 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.924 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.924 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.924 * [taylor]: Taking taylor expansion of y in y
6.924 * [backup-simplify]: Simplify 0 into 0
6.924 * [backup-simplify]: Simplify 1 into 1
6.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.925 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.925 * [taylor]: Taking taylor expansion of y in y
6.925 * [backup-simplify]: Simplify 0 into 0
6.925 * [backup-simplify]: Simplify 1 into 1
6.925 * [backup-simplify]: Simplify (* 1 1) into 1
6.925 * [backup-simplify]: Simplify (/ 1 1) into 1
6.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.925 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.925 * [taylor]: Taking taylor expansion of x in y
6.925 * [backup-simplify]: Simplify x into x
6.925 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.925 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.925 * [backup-simplify]: Simplify (* 1 1) into 1
6.926 * [backup-simplify]: Simplify (+ 1 0) into 1
6.926 * [backup-simplify]: Simplify (* 1 1) into 1
6.926 * [backup-simplify]: Simplify (/ 1 1) into 1
6.926 * [taylor]: Taking taylor expansion of 1 in x
6.926 * [backup-simplify]: Simplify 1 into 1
6.926 * [backup-simplify]: Simplify 0 into 0
6.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.927 * [backup-simplify]: Simplify (+ 0 0) into 0
6.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.929 * [taylor]: Taking taylor expansion of 0 in x
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.930 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
6.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.931 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
6.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
6.932 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
6.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.932 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.932 * [taylor]: Taking taylor expansion of x in x
6.932 * [backup-simplify]: Simplify 0 into 0
6.932 * [backup-simplify]: Simplify 1 into 1
6.932 * [backup-simplify]: Simplify (* 1 1) into 1
6.932 * [backup-simplify]: Simplify (/ 1 1) into 1
6.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.941 * [backup-simplify]: Simplify (- 0) into 0
6.941 * [backup-simplify]: Simplify 0 into 0
6.941 * [backup-simplify]: Simplify 0 into 0
6.941 * [backup-simplify]: Simplify 0 into 0
6.941 * [backup-simplify]: Simplify 0 into 0
6.941 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2)
6.941 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
6.941 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
6.941 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
6.941 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.941 * [taylor]: Taking taylor expansion of y in x
6.941 * [backup-simplify]: Simplify y into y
6.941 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
6.942 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.942 * [taylor]: Taking taylor expansion of y in x
6.942 * [backup-simplify]: Simplify y into y
6.942 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.942 * [taylor]: Taking taylor expansion of x in x
6.942 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify 1 into 1
6.942 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.942 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.942 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
6.942 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
6.942 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
6.942 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.942 * [taylor]: Taking taylor expansion of y in y
6.942 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify 1 into 1
6.942 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.942 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.942 * [taylor]: Taking taylor expansion of y in y
6.942 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify 1 into 1
6.942 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.942 * [taylor]: Taking taylor expansion of x in y
6.942 * [backup-simplify]: Simplify x into x
6.943 * [backup-simplify]: Simplify (* 1 1) into 1
6.943 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.943 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.943 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.943 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
6.943 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.943 * [taylor]: Taking taylor expansion of y in y
6.943 * [backup-simplify]: Simplify 0 into 0
6.943 * [backup-simplify]: Simplify 1 into 1
6.943 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
6.943 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.943 * [taylor]: Taking taylor expansion of y in y
6.943 * [backup-simplify]: Simplify 0 into 0
6.943 * [backup-simplify]: Simplify 1 into 1
6.943 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.943 * [taylor]: Taking taylor expansion of x in y
6.943 * [backup-simplify]: Simplify x into x
6.943 * [backup-simplify]: Simplify (* 1 1) into 1
6.943 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.944 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
6.944 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.944 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.944 * [taylor]: Taking taylor expansion of x in x
6.944 * [backup-simplify]: Simplify 0 into 0
6.944 * [backup-simplify]: Simplify 1 into 1
6.944 * [backup-simplify]: Simplify (* 1 1) into 1
6.944 * [backup-simplify]: Simplify (/ 1 1) into 1
6.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.947 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.947 * [backup-simplify]: Simplify (+ 0 0) into 0
6.947 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
6.947 * [taylor]: Taking taylor expansion of 0 in x
6.947 * [backup-simplify]: Simplify 0 into 0
6.947 * [backup-simplify]: Simplify 0 into 0
6.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.948 * [backup-simplify]: Simplify 0 into 0
6.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.949 * [backup-simplify]: Simplify (* 1 1) into 1
6.949 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
6.950 * [backup-simplify]: Simplify (+ 1 0) into 1
6.950 * [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)))
6.950 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
6.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
6.950 * [taylor]: Taking taylor expansion of (pow x 4) in x
6.950 * [taylor]: Taking taylor expansion of x in x
6.950 * [backup-simplify]: Simplify 0 into 0
6.950 * [backup-simplify]: Simplify 1 into 1
6.950 * [backup-simplify]: Simplify (* 1 1) into 1
6.950 * [backup-simplify]: Simplify (* 1 1) into 1
6.951 * [backup-simplify]: Simplify (/ 1 1) into 1
6.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.957 * [backup-simplify]: Simplify (- 0) into 0
6.957 * [backup-simplify]: Simplify 0 into 0
6.957 * [backup-simplify]: Simplify 0 into 0
6.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.959 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify 0 into 0
6.959 * [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)))))
6.959 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
6.959 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.959 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.959 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.959 * [taylor]: Taking taylor expansion of y in x
6.959 * [backup-simplify]: Simplify y into y
6.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.959 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.959 * [taylor]: Taking taylor expansion of y in x
6.959 * [backup-simplify]: Simplify y into y
6.959 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.959 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.959 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.959 * [taylor]: Taking taylor expansion of x in x
6.959 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify 1 into 1
6.959 * [backup-simplify]: Simplify (* 1 1) into 1
6.960 * [backup-simplify]: Simplify (/ 1 1) into 1
6.960 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.960 * [backup-simplify]: Simplify (+ 0 1) into 1
6.960 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
6.960 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.960 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.960 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.960 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.960 * [taylor]: Taking taylor expansion of y in y
6.960 * [backup-simplify]: Simplify 0 into 0
6.960 * [backup-simplify]: Simplify 1 into 1
6.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.960 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.960 * [taylor]: Taking taylor expansion of y in y
6.960 * [backup-simplify]: Simplify 0 into 0
6.960 * [backup-simplify]: Simplify 1 into 1
6.961 * [backup-simplify]: Simplify (* 1 1) into 1
6.961 * [backup-simplify]: Simplify (/ 1 1) into 1
6.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.961 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.961 * [taylor]: Taking taylor expansion of x in y
6.961 * [backup-simplify]: Simplify x into x
6.961 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.961 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.961 * [backup-simplify]: Simplify (* 1 1) into 1
6.962 * [backup-simplify]: Simplify (+ 1 0) into 1
6.962 * [backup-simplify]: Simplify (* 1 1) into 1
6.962 * [backup-simplify]: Simplify (/ 1 1) into 1
6.962 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.962 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.962 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.962 * [taylor]: Taking taylor expansion of y in y
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 1 into 1
6.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.962 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.962 * [taylor]: Taking taylor expansion of y in y
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 1 into 1
6.962 * [backup-simplify]: Simplify (* 1 1) into 1
6.963 * [backup-simplify]: Simplify (/ 1 1) into 1
6.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.963 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.963 * [taylor]: Taking taylor expansion of x in y
6.963 * [backup-simplify]: Simplify x into x
6.963 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.963 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.963 * [backup-simplify]: Simplify (* 1 1) into 1
6.963 * [backup-simplify]: Simplify (+ 1 0) into 1
6.964 * [backup-simplify]: Simplify (* 1 1) into 1
6.964 * [backup-simplify]: Simplify (/ 1 1) into 1
6.964 * [taylor]: Taking taylor expansion of 1 in x
6.964 * [backup-simplify]: Simplify 1 into 1
6.964 * [backup-simplify]: Simplify 0 into 0
6.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.965 * [backup-simplify]: Simplify (+ 0 0) into 0
6.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.966 * [taylor]: Taking taylor expansion of 0 in x
6.966 * [backup-simplify]: Simplify 0 into 0
6.966 * [backup-simplify]: Simplify 0 into 0
6.966 * [backup-simplify]: Simplify 0 into 0
6.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.968 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
6.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.969 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
6.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
6.969 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
6.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.969 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.969 * [taylor]: Taking taylor expansion of x in x
6.969 * [backup-simplify]: Simplify 0 into 0
6.969 * [backup-simplify]: Simplify 1 into 1
6.969 * [backup-simplify]: Simplify (* 1 1) into 1
6.970 * [backup-simplify]: Simplify (/ 1 1) into 1
6.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.977 * [backup-simplify]: Simplify (- 0) into 0
6.977 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify 0 into 0
6.977 * [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)))))
6.977 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
6.977 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
6.977 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
6.977 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.977 * [taylor]: Taking taylor expansion of y in x
6.977 * [backup-simplify]: Simplify y into y
6.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
6.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.978 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.978 * [taylor]: Taking taylor expansion of y in x
6.978 * [backup-simplify]: Simplify y into y
6.978 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.978 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.978 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.978 * [taylor]: Taking taylor expansion of x in x
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify 1 into 1
6.978 * [backup-simplify]: Simplify (* 1 1) into 1
6.979 * [backup-simplify]: Simplify (/ 1 1) into 1
6.979 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.979 * [backup-simplify]: Simplify (+ 0 1) into 1
6.979 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
6.979 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.979 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.980 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.980 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.980 * [taylor]: Taking taylor expansion of y in y
6.980 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify 1 into 1
6.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.980 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.980 * [taylor]: Taking taylor expansion of y in y
6.980 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify 1 into 1
6.980 * [backup-simplify]: Simplify (* 1 1) into 1
6.980 * [backup-simplify]: Simplify (/ 1 1) into 1
6.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.981 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.981 * [taylor]: Taking taylor expansion of x in y
6.981 * [backup-simplify]: Simplify x into x
6.981 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.981 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.981 * [backup-simplify]: Simplify (* 1 1) into 1
6.982 * [backup-simplify]: Simplify (+ 1 0) into 1
6.982 * [backup-simplify]: Simplify (* 1 1) into 1
6.982 * [backup-simplify]: Simplify (/ 1 1) into 1
6.982 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
6.982 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
6.982 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.982 * [taylor]: Taking taylor expansion of y in y
6.982 * [backup-simplify]: Simplify 0 into 0
6.982 * [backup-simplify]: Simplify 1 into 1
6.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
6.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.983 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.983 * [taylor]: Taking taylor expansion of y in y
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify 1 into 1
6.983 * [backup-simplify]: Simplify (* 1 1) into 1
6.983 * [backup-simplify]: Simplify (/ 1 1) into 1
6.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.983 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.983 * [taylor]: Taking taylor expansion of x in y
6.983 * [backup-simplify]: Simplify x into x
6.984 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.984 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.984 * [backup-simplify]: Simplify (* 1 1) into 1
6.984 * [backup-simplify]: Simplify (+ 1 0) into 1
6.985 * [backup-simplify]: Simplify (* 1 1) into 1
6.985 * [backup-simplify]: Simplify (/ 1 1) into 1
6.985 * [taylor]: Taking taylor expansion of 1 in x
6.985 * [backup-simplify]: Simplify 1 into 1
6.985 * [backup-simplify]: Simplify 0 into 0
6.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.987 * [backup-simplify]: Simplify (+ 0 0) into 0
6.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.989 * [taylor]: Taking taylor expansion of 0 in x
6.989 * [backup-simplify]: Simplify 0 into 0
6.989 * [backup-simplify]: Simplify 0 into 0
6.989 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.991 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
6.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.993 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
6.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
6.994 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
6.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.994 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.994 * [taylor]: Taking taylor expansion of x in x
6.994 * [backup-simplify]: Simplify 0 into 0
6.994 * [backup-simplify]: Simplify 1 into 1
6.994 * [backup-simplify]: Simplify (* 1 1) into 1
6.995 * [backup-simplify]: Simplify (/ 1 1) into 1
6.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.003 * [backup-simplify]: Simplify (- 0) into 0
7.003 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify 0 into 0
7.003 * * * [progress]: simplifying candidates
7.005 * [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 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 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 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))))
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
7.007 * * [simplify]: iteration 0: 53 enodes
7.017 * * [simplify]: iteration 1: 175 enodes
7.105 * * [simplify]: iteration 2: 1247 enodes
8.028 * * [simplify]: iteration complete: 5001 enodes
8.028 * * [simplify]: Extracting #0: cost 23 inf + 0
8.031 * * [simplify]: Extracting #1: cost 1008 inf + 43
8.042 * * [simplify]: Extracting #2: cost 2118 inf + 2271
8.057 * * [simplify]: Extracting #3: cost 1995 inf + 21827
8.077 * * [simplify]: Extracting #4: cost 1424 inf + 130257
8.174 * * [simplify]: Extracting #5: cost 302 inf + 376240
8.338 * * [simplify]: Extracting #6: cost 4 inf + 453551
8.468 * * [simplify]: Extracting #7: cost 0 inf + 454679
8.607 * [simplify]: Simplified to:
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (exp (/ (* 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) (+ (* y y) (* x x)))))
  (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))
  (cbrt (/ (* y y) (+ (* y y) (* x x))))
  (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (- (* y y))
  (- (+ (* y y) (* x x)))
  (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))
  (/ y (cbrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  y
  (/ y (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* y y))
  (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (* y y)
  (/ (+ (* y y) (* x x)) y)
  (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (exp (/ (* 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) (+ (* y y) (* x x)))))
  (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))
  (cbrt (/ (* y y) (+ (* y y) (* x x))))
  (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (- (* y y))
  (- (+ (* y y) (* x x)))
  (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))
  (/ y (cbrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  y
  (/ y (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* y y))
  (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (* y y)
  (/ (+ (* y y) (* x x)) y)
  (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (exp (/ (* 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) (+ (* y y) (* x x)))))
  (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))
  (cbrt (/ (* y y) (+ (* y y) (* x x))))
  (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (- (* y y))
  (- (+ (* y y) (* x x)))
  (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))
  (/ y (cbrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  y
  (/ y (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* y y))
  (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (* y y)
  (/ (+ (* y y) (* x x)) y)
  (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (exp (/ (* 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) (+ (* y y) (* x x)))))
  (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))
  (cbrt (/ (* y y) (+ (* y y) (* x x))))
  (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (- (* y y))
  (- (+ (* y y) (* x x)))
  (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))
  (/ y (cbrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  y
  (/ y (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* y y))
  (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (* y y)
  (/ (+ (* y y) (* x x)) y)
  (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y))))
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
8.628 * * * [progress]: adding candidates to table
9.322 * * [progress]: iteration 4 / 4
9.322 * * * [progress]: picking best candidate
9.334 * * * * [pick]: Picked  #<alt (λ (x 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)))) (+ (* (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)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))))>
9.334 * * * [progress]: localizing error
9.532 * * * [progress]: generating rewritten candidates
9.532 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 2)
9.554 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2)
9.580 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1 2)
9.606 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 1 1 2)
9.638 * * * [progress]: generating series expansions
9.638 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 2)
9.638 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
9.638 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
9.638 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
9.638 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.638 * [taylor]: Taking taylor expansion of y in x
9.638 * [backup-simplify]: Simplify y into y
9.638 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
9.638 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.638 * [taylor]: Taking taylor expansion of y in x
9.638 * [backup-simplify]: Simplify y into y
9.638 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.638 * [taylor]: Taking taylor expansion of x in x
9.638 * [backup-simplify]: Simplify 0 into 0
9.638 * [backup-simplify]: Simplify 1 into 1
9.639 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.639 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.639 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
9.639 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
9.639 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
9.639 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.639 * [taylor]: Taking taylor expansion of y in y
9.639 * [backup-simplify]: Simplify 0 into 0
9.639 * [backup-simplify]: Simplify 1 into 1
9.639 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
9.639 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.639 * [taylor]: Taking taylor expansion of y in y
9.639 * [backup-simplify]: Simplify 0 into 0
9.639 * [backup-simplify]: Simplify 1 into 1
9.639 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.639 * [taylor]: Taking taylor expansion of x in y
9.639 * [backup-simplify]: Simplify x into x
9.640 * [backup-simplify]: Simplify (* 1 1) into 1
9.640 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.640 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
9.640 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.640 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
9.641 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.641 * [taylor]: Taking taylor expansion of y in y
9.641 * [backup-simplify]: Simplify 0 into 0
9.641 * [backup-simplify]: Simplify 1 into 1
9.641 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
9.641 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.641 * [taylor]: Taking taylor expansion of y in y
9.641 * [backup-simplify]: Simplify 0 into 0
9.641 * [backup-simplify]: Simplify 1 into 1
9.641 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.641 * [taylor]: Taking taylor expansion of x in y
9.641 * [backup-simplify]: Simplify x into x
9.641 * [backup-simplify]: Simplify (* 1 1) into 1
9.641 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.641 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
9.642 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.642 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.642 * [taylor]: Taking taylor expansion of x in x
9.642 * [backup-simplify]: Simplify 0 into 0
9.642 * [backup-simplify]: Simplify 1 into 1
9.642 * [backup-simplify]: Simplify (* 1 1) into 1
9.643 * [backup-simplify]: Simplify (/ 1 1) into 1
9.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.646 * [backup-simplify]: Simplify 0 into 0
9.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.647 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.647 * [backup-simplify]: Simplify (+ 0 0) into 0
9.647 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.648 * [taylor]: Taking taylor expansion of 0 in x
9.648 * [backup-simplify]: Simplify 0 into 0
9.648 * [backup-simplify]: Simplify 0 into 0
9.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.650 * [backup-simplify]: Simplify 0 into 0
9.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.651 * [backup-simplify]: Simplify (* 1 1) into 1
9.651 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
9.652 * [backup-simplify]: Simplify (+ 1 0) into 1
9.652 * [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)))
9.652 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
9.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
9.652 * [taylor]: Taking taylor expansion of (pow x 4) in x
9.652 * [taylor]: Taking taylor expansion of x in x
9.653 * [backup-simplify]: Simplify 0 into 0
9.653 * [backup-simplify]: Simplify 1 into 1
9.653 * [backup-simplify]: Simplify (* 1 1) into 1
9.653 * [backup-simplify]: Simplify (* 1 1) into 1
9.654 * [backup-simplify]: Simplify (/ 1 1) into 1
9.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.662 * [backup-simplify]: Simplify (- 0) into 0
9.662 * [backup-simplify]: Simplify 0 into 0
9.662 * [backup-simplify]: Simplify 0 into 0
9.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.664 * [backup-simplify]: Simplify 0 into 0
9.664 * [backup-simplify]: Simplify 0 into 0
9.664 * [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)))))
9.664 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
9.664 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
9.664 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
9.664 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.664 * [taylor]: Taking taylor expansion of y in x
9.664 * [backup-simplify]: Simplify y into y
9.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
9.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.664 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.664 * [taylor]: Taking taylor expansion of y in x
9.664 * [backup-simplify]: Simplify y into y
9.664 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.664 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.664 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.664 * [taylor]: Taking taylor expansion of x in x
9.664 * [backup-simplify]: Simplify 0 into 0
9.664 * [backup-simplify]: Simplify 1 into 1
9.665 * [backup-simplify]: Simplify (* 1 1) into 1
9.665 * [backup-simplify]: Simplify (/ 1 1) into 1
9.665 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.665 * [backup-simplify]: Simplify (+ 0 1) into 1
9.665 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
9.665 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.665 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.665 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.665 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.665 * [taylor]: Taking taylor expansion of y in y
9.665 * [backup-simplify]: Simplify 0 into 0
9.665 * [backup-simplify]: Simplify 1 into 1
9.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.665 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.665 * [taylor]: Taking taylor expansion of y in y
9.665 * [backup-simplify]: Simplify 0 into 0
9.665 * [backup-simplify]: Simplify 1 into 1
9.666 * [backup-simplify]: Simplify (* 1 1) into 1
9.666 * [backup-simplify]: Simplify (/ 1 1) into 1
9.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.666 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.666 * [taylor]: Taking taylor expansion of x in y
9.666 * [backup-simplify]: Simplify x into x
9.666 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.666 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.666 * [backup-simplify]: Simplify (* 1 1) into 1
9.667 * [backup-simplify]: Simplify (+ 1 0) into 1
9.667 * [backup-simplify]: Simplify (* 1 1) into 1
9.667 * [backup-simplify]: Simplify (/ 1 1) into 1
9.667 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.667 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.667 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.667 * [taylor]: Taking taylor expansion of y in y
9.667 * [backup-simplify]: Simplify 0 into 0
9.667 * [backup-simplify]: Simplify 1 into 1
9.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.667 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.667 * [taylor]: Taking taylor expansion of y in y
9.667 * [backup-simplify]: Simplify 0 into 0
9.667 * [backup-simplify]: Simplify 1 into 1
9.668 * [backup-simplify]: Simplify (* 1 1) into 1
9.668 * [backup-simplify]: Simplify (/ 1 1) into 1
9.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.668 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.668 * [taylor]: Taking taylor expansion of x in y
9.668 * [backup-simplify]: Simplify x into x
9.668 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.668 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.668 * [backup-simplify]: Simplify (* 1 1) into 1
9.669 * [backup-simplify]: Simplify (+ 1 0) into 1
9.669 * [backup-simplify]: Simplify (* 1 1) into 1
9.669 * [backup-simplify]: Simplify (/ 1 1) into 1
9.669 * [taylor]: Taking taylor expansion of 1 in x
9.669 * [backup-simplify]: Simplify 1 into 1
9.669 * [backup-simplify]: Simplify 0 into 0
9.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.670 * [backup-simplify]: Simplify (+ 0 0) into 0
9.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.671 * [taylor]: Taking taylor expansion of 0 in x
9.672 * [backup-simplify]: Simplify 0 into 0
9.672 * [backup-simplify]: Simplify 0 into 0
9.672 * [backup-simplify]: Simplify 0 into 0
9.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.673 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
9.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.674 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
9.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
9.674 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
9.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.674 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.674 * [taylor]: Taking taylor expansion of x in x
9.674 * [backup-simplify]: Simplify 0 into 0
9.674 * [backup-simplify]: Simplify 1 into 1
9.675 * [backup-simplify]: Simplify (* 1 1) into 1
9.675 * [backup-simplify]: Simplify (/ 1 1) into 1
9.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.679 * [backup-simplify]: Simplify (- 0) into 0
9.679 * [backup-simplify]: Simplify 0 into 0
9.679 * [backup-simplify]: Simplify 0 into 0
9.679 * [backup-simplify]: Simplify 0 into 0
9.679 * [backup-simplify]: Simplify 0 into 0
9.680 * [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)))))
9.680 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
9.680 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
9.680 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
9.680 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.680 * [taylor]: Taking taylor expansion of y in x
9.680 * [backup-simplify]: Simplify y into y
9.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
9.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.680 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.680 * [taylor]: Taking taylor expansion of y in x
9.680 * [backup-simplify]: Simplify y into y
9.680 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.680 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.680 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.680 * [taylor]: Taking taylor expansion of x in x
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [backup-simplify]: Simplify 1 into 1
9.680 * [backup-simplify]: Simplify (* 1 1) into 1
9.681 * [backup-simplify]: Simplify (/ 1 1) into 1
9.681 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.681 * [backup-simplify]: Simplify (+ 0 1) into 1
9.681 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
9.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.681 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.681 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.681 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.681 * [taylor]: Taking taylor expansion of y in y
9.681 * [backup-simplify]: Simplify 0 into 0
9.681 * [backup-simplify]: Simplify 1 into 1
9.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.681 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.681 * [taylor]: Taking taylor expansion of y in y
9.681 * [backup-simplify]: Simplify 0 into 0
9.681 * [backup-simplify]: Simplify 1 into 1
9.681 * [backup-simplify]: Simplify (* 1 1) into 1
9.682 * [backup-simplify]: Simplify (/ 1 1) into 1
9.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.682 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.682 * [taylor]: Taking taylor expansion of x in y
9.682 * [backup-simplify]: Simplify x into x
9.682 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.682 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.682 * [backup-simplify]: Simplify (* 1 1) into 1
9.682 * [backup-simplify]: Simplify (+ 1 0) into 1
9.683 * [backup-simplify]: Simplify (* 1 1) into 1
9.683 * [backup-simplify]: Simplify (/ 1 1) into 1
9.683 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.683 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.683 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.683 * [taylor]: Taking taylor expansion of y in y
9.683 * [backup-simplify]: Simplify 0 into 0
9.683 * [backup-simplify]: Simplify 1 into 1
9.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.683 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.683 * [taylor]: Taking taylor expansion of y in y
9.683 * [backup-simplify]: Simplify 0 into 0
9.683 * [backup-simplify]: Simplify 1 into 1
9.683 * [backup-simplify]: Simplify (* 1 1) into 1
9.684 * [backup-simplify]: Simplify (/ 1 1) into 1
9.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.684 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.684 * [taylor]: Taking taylor expansion of x in y
9.684 * [backup-simplify]: Simplify x into x
9.684 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.684 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.684 * [backup-simplify]: Simplify (* 1 1) into 1
9.684 * [backup-simplify]: Simplify (+ 1 0) into 1
9.684 * [backup-simplify]: Simplify (* 1 1) into 1
9.685 * [backup-simplify]: Simplify (/ 1 1) into 1
9.685 * [taylor]: Taking taylor expansion of 1 in x
9.685 * [backup-simplify]: Simplify 1 into 1
9.685 * [backup-simplify]: Simplify 0 into 0
9.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.686 * [backup-simplify]: Simplify (+ 0 0) into 0
9.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.687 * [taylor]: Taking taylor expansion of 0 in x
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.688 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
9.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.689 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
9.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
9.690 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
9.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.690 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.690 * [taylor]: Taking taylor expansion of x in x
9.690 * [backup-simplify]: Simplify 0 into 0
9.690 * [backup-simplify]: Simplify 1 into 1
9.690 * [backup-simplify]: Simplify (* 1 1) into 1
9.691 * [backup-simplify]: Simplify (/ 1 1) into 1
9.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.699 * [backup-simplify]: Simplify (- 0) into 0
9.699 * [backup-simplify]: Simplify 0 into 0
9.699 * [backup-simplify]: Simplify 0 into 0
9.699 * [backup-simplify]: Simplify 0 into 0
9.699 * [backup-simplify]: Simplify 0 into 0
9.699 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2)
9.699 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
9.699 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
9.699 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
9.699 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.699 * [taylor]: Taking taylor expansion of y in x
9.699 * [backup-simplify]: Simplify y into y
9.699 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
9.699 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.699 * [taylor]: Taking taylor expansion of y in x
9.699 * [backup-simplify]: Simplify y into y
9.699 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.699 * [taylor]: Taking taylor expansion of x in x
9.700 * [backup-simplify]: Simplify 0 into 0
9.700 * [backup-simplify]: Simplify 1 into 1
9.700 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.700 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.700 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
9.700 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
9.700 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
9.700 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.700 * [taylor]: Taking taylor expansion of y in y
9.700 * [backup-simplify]: Simplify 0 into 0
9.700 * [backup-simplify]: Simplify 1 into 1
9.700 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
9.700 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.700 * [taylor]: Taking taylor expansion of y in y
9.700 * [backup-simplify]: Simplify 0 into 0
9.700 * [backup-simplify]: Simplify 1 into 1
9.700 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.700 * [taylor]: Taking taylor expansion of x in y
9.700 * [backup-simplify]: Simplify x into x
9.701 * [backup-simplify]: Simplify (* 1 1) into 1
9.701 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.701 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
9.701 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.701 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
9.701 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.701 * [taylor]: Taking taylor expansion of y in y
9.701 * [backup-simplify]: Simplify 0 into 0
9.701 * [backup-simplify]: Simplify 1 into 1
9.701 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
9.701 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.701 * [taylor]: Taking taylor expansion of y in y
9.701 * [backup-simplify]: Simplify 0 into 0
9.702 * [backup-simplify]: Simplify 1 into 1
9.702 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.702 * [taylor]: Taking taylor expansion of x in y
9.702 * [backup-simplify]: Simplify x into x
9.702 * [backup-simplify]: Simplify (* 1 1) into 1
9.702 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.702 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
9.702 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.702 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.702 * [taylor]: Taking taylor expansion of x in x
9.703 * [backup-simplify]: Simplify 0 into 0
9.703 * [backup-simplify]: Simplify 1 into 1
9.703 * [backup-simplify]: Simplify (* 1 1) into 1
9.703 * [backup-simplify]: Simplify (/ 1 1) into 1
9.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.707 * [backup-simplify]: Simplify 0 into 0
9.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.707 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.708 * [backup-simplify]: Simplify (+ 0 0) into 0
9.708 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.708 * [taylor]: Taking taylor expansion of 0 in x
9.708 * [backup-simplify]: Simplify 0 into 0
9.708 * [backup-simplify]: Simplify 0 into 0
9.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.710 * [backup-simplify]: Simplify 0 into 0
9.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.712 * [backup-simplify]: Simplify (* 1 1) into 1
9.712 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
9.712 * [backup-simplify]: Simplify (+ 1 0) into 1
9.713 * [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)))
9.713 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
9.713 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
9.713 * [taylor]: Taking taylor expansion of (pow x 4) in x
9.713 * [taylor]: Taking taylor expansion of x in x
9.713 * [backup-simplify]: Simplify 0 into 0
9.713 * [backup-simplify]: Simplify 1 into 1
9.714 * [backup-simplify]: Simplify (* 1 1) into 1
9.714 * [backup-simplify]: Simplify (* 1 1) into 1
9.714 * [backup-simplify]: Simplify (/ 1 1) into 1
9.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.724 * [backup-simplify]: Simplify (- 0) into 0
9.724 * [backup-simplify]: Simplify 0 into 0
9.724 * [backup-simplify]: Simplify 0 into 0
9.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.726 * [backup-simplify]: Simplify 0 into 0
9.726 * [backup-simplify]: Simplify 0 into 0
9.726 * [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)))))
9.726 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
9.726 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
9.726 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
9.726 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.726 * [taylor]: Taking taylor expansion of y in x
9.726 * [backup-simplify]: Simplify y into y
9.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
9.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.726 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.726 * [taylor]: Taking taylor expansion of y in x
9.726 * [backup-simplify]: Simplify y into y
9.726 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.726 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.726 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.726 * [taylor]: Taking taylor expansion of x in x
9.726 * [backup-simplify]: Simplify 0 into 0
9.726 * [backup-simplify]: Simplify 1 into 1
9.727 * [backup-simplify]: Simplify (* 1 1) into 1
9.727 * [backup-simplify]: Simplify (/ 1 1) into 1
9.727 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.727 * [backup-simplify]: Simplify (+ 0 1) into 1
9.727 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
9.727 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.727 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.727 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.727 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.727 * [taylor]: Taking taylor expansion of y in y
9.727 * [backup-simplify]: Simplify 0 into 0
9.727 * [backup-simplify]: Simplify 1 into 1
9.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.727 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.728 * [taylor]: Taking taylor expansion of y in y
9.728 * [backup-simplify]: Simplify 0 into 0
9.728 * [backup-simplify]: Simplify 1 into 1
9.728 * [backup-simplify]: Simplify (* 1 1) into 1
9.728 * [backup-simplify]: Simplify (/ 1 1) into 1
9.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.728 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.728 * [taylor]: Taking taylor expansion of x in y
9.728 * [backup-simplify]: Simplify x into x
9.728 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.728 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.728 * [backup-simplify]: Simplify (* 1 1) into 1
9.729 * [backup-simplify]: Simplify (+ 1 0) into 1
9.729 * [backup-simplify]: Simplify (* 1 1) into 1
9.729 * [backup-simplify]: Simplify (/ 1 1) into 1
9.729 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.729 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.729 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.729 * [taylor]: Taking taylor expansion of y in y
9.729 * [backup-simplify]: Simplify 0 into 0
9.729 * [backup-simplify]: Simplify 1 into 1
9.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.729 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.729 * [taylor]: Taking taylor expansion of y in y
9.729 * [backup-simplify]: Simplify 0 into 0
9.729 * [backup-simplify]: Simplify 1 into 1
9.730 * [backup-simplify]: Simplify (* 1 1) into 1
9.730 * [backup-simplify]: Simplify (/ 1 1) into 1
9.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.730 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.730 * [taylor]: Taking taylor expansion of x in y
9.730 * [backup-simplify]: Simplify x into x
9.730 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.730 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.730 * [backup-simplify]: Simplify (* 1 1) into 1
9.731 * [backup-simplify]: Simplify (+ 1 0) into 1
9.731 * [backup-simplify]: Simplify (* 1 1) into 1
9.731 * [backup-simplify]: Simplify (/ 1 1) into 1
9.731 * [taylor]: Taking taylor expansion of 1 in x
9.731 * [backup-simplify]: Simplify 1 into 1
9.731 * [backup-simplify]: Simplify 0 into 0
9.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.732 * [backup-simplify]: Simplify (+ 0 0) into 0
9.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.733 * [taylor]: Taking taylor expansion of 0 in x
9.733 * [backup-simplify]: Simplify 0 into 0
9.733 * [backup-simplify]: Simplify 0 into 0
9.734 * [backup-simplify]: Simplify 0 into 0
9.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.735 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
9.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.736 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
9.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
9.736 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
9.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.736 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.736 * [taylor]: Taking taylor expansion of x in x
9.736 * [backup-simplify]: Simplify 0 into 0
9.736 * [backup-simplify]: Simplify 1 into 1
9.737 * [backup-simplify]: Simplify (* 1 1) into 1
9.737 * [backup-simplify]: Simplify (/ 1 1) into 1
9.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.741 * [backup-simplify]: Simplify (- 0) into 0
9.741 * [backup-simplify]: Simplify 0 into 0
9.741 * [backup-simplify]: Simplify 0 into 0
9.741 * [backup-simplify]: Simplify 0 into 0
9.741 * [backup-simplify]: Simplify 0 into 0
9.742 * [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)))))
9.742 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
9.742 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
9.742 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
9.742 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.742 * [taylor]: Taking taylor expansion of y in x
9.742 * [backup-simplify]: Simplify y into y
9.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
9.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.742 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.742 * [taylor]: Taking taylor expansion of y in x
9.742 * [backup-simplify]: Simplify y into y
9.742 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.742 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.742 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.742 * [taylor]: Taking taylor expansion of x in x
9.742 * [backup-simplify]: Simplify 0 into 0
9.742 * [backup-simplify]: Simplify 1 into 1
9.742 * [backup-simplify]: Simplify (* 1 1) into 1
9.743 * [backup-simplify]: Simplify (/ 1 1) into 1
9.743 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.743 * [backup-simplify]: Simplify (+ 0 1) into 1
9.743 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
9.743 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.743 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.743 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.743 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.743 * [taylor]: Taking taylor expansion of y in y
9.743 * [backup-simplify]: Simplify 0 into 0
9.743 * [backup-simplify]: Simplify 1 into 1
9.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.743 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.743 * [taylor]: Taking taylor expansion of y in y
9.743 * [backup-simplify]: Simplify 0 into 0
9.743 * [backup-simplify]: Simplify 1 into 1
9.744 * [backup-simplify]: Simplify (* 1 1) into 1
9.744 * [backup-simplify]: Simplify (/ 1 1) into 1
9.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.744 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.744 * [taylor]: Taking taylor expansion of x in y
9.744 * [backup-simplify]: Simplify x into x
9.744 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.744 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.745 * [backup-simplify]: Simplify (* 1 1) into 1
9.745 * [backup-simplify]: Simplify (+ 1 0) into 1
9.745 * [backup-simplify]: Simplify (* 1 1) into 1
9.745 * [backup-simplify]: Simplify (/ 1 1) into 1
9.745 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.745 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.745 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.745 * [taylor]: Taking taylor expansion of y in y
9.745 * [backup-simplify]: Simplify 0 into 0
9.745 * [backup-simplify]: Simplify 1 into 1
9.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.745 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.746 * [taylor]: Taking taylor expansion of y in y
9.746 * [backup-simplify]: Simplify 0 into 0
9.746 * [backup-simplify]: Simplify 1 into 1
9.746 * [backup-simplify]: Simplify (* 1 1) into 1
9.749 * [backup-simplify]: Simplify (/ 1 1) into 1
9.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.750 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.750 * [taylor]: Taking taylor expansion of x in y
9.750 * [backup-simplify]: Simplify x into x
9.750 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.750 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.750 * [backup-simplify]: Simplify (* 1 1) into 1
9.751 * [backup-simplify]: Simplify (+ 1 0) into 1
9.751 * [backup-simplify]: Simplify (* 1 1) into 1
9.751 * [backup-simplify]: Simplify (/ 1 1) into 1
9.751 * [taylor]: Taking taylor expansion of 1 in x
9.751 * [backup-simplify]: Simplify 1 into 1
9.751 * [backup-simplify]: Simplify 0 into 0
9.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.752 * [backup-simplify]: Simplify (+ 0 0) into 0
9.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.753 * [taylor]: Taking taylor expansion of 0 in x
9.753 * [backup-simplify]: Simplify 0 into 0
9.753 * [backup-simplify]: Simplify 0 into 0
9.753 * [backup-simplify]: Simplify 0 into 0
9.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.755 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
9.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.756 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
9.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
9.756 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
9.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.756 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.756 * [taylor]: Taking taylor expansion of x in x
9.756 * [backup-simplify]: Simplify 0 into 0
9.756 * [backup-simplify]: Simplify 1 into 1
9.757 * [backup-simplify]: Simplify (* 1 1) into 1
9.757 * [backup-simplify]: Simplify (/ 1 1) into 1
9.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.761 * [backup-simplify]: Simplify (- 0) into 0
9.761 * [backup-simplify]: Simplify 0 into 0
9.761 * [backup-simplify]: Simplify 0 into 0
9.761 * [backup-simplify]: Simplify 0 into 0
9.761 * [backup-simplify]: Simplify 0 into 0
9.761 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1 2)
9.762 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
9.762 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
9.762 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
9.762 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.762 * [taylor]: Taking taylor expansion of y in x
9.762 * [backup-simplify]: Simplify y into y
9.762 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
9.762 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.762 * [taylor]: Taking taylor expansion of y in x
9.762 * [backup-simplify]: Simplify y into y
9.762 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.762 * [taylor]: Taking taylor expansion of x in x
9.762 * [backup-simplify]: Simplify 0 into 0
9.762 * [backup-simplify]: Simplify 1 into 1
9.762 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.762 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.762 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
9.762 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
9.762 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
9.762 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.762 * [taylor]: Taking taylor expansion of y in y
9.762 * [backup-simplify]: Simplify 0 into 0
9.762 * [backup-simplify]: Simplify 1 into 1
9.762 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
9.762 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.762 * [taylor]: Taking taylor expansion of y in y
9.762 * [backup-simplify]: Simplify 0 into 0
9.762 * [backup-simplify]: Simplify 1 into 1
9.762 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.762 * [taylor]: Taking taylor expansion of x in y
9.762 * [backup-simplify]: Simplify x into x
9.763 * [backup-simplify]: Simplify (* 1 1) into 1
9.763 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.763 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
9.763 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.763 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
9.763 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.763 * [taylor]: Taking taylor expansion of y in y
9.763 * [backup-simplify]: Simplify 0 into 0
9.763 * [backup-simplify]: Simplify 1 into 1
9.763 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
9.763 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.763 * [taylor]: Taking taylor expansion of y in y
9.763 * [backup-simplify]: Simplify 0 into 0
9.763 * [backup-simplify]: Simplify 1 into 1
9.763 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.763 * [taylor]: Taking taylor expansion of x in y
9.763 * [backup-simplify]: Simplify x into x
9.763 * [backup-simplify]: Simplify (* 1 1) into 1
9.763 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.763 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
9.764 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.764 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.764 * [taylor]: Taking taylor expansion of x in x
9.764 * [backup-simplify]: Simplify 0 into 0
9.764 * [backup-simplify]: Simplify 1 into 1
9.764 * [backup-simplify]: Simplify (* 1 1) into 1
9.764 * [backup-simplify]: Simplify (/ 1 1) into 1
9.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.766 * [backup-simplify]: Simplify 0 into 0
9.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.767 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.767 * [backup-simplify]: Simplify (+ 0 0) into 0
9.767 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.767 * [taylor]: Taking taylor expansion of 0 in x
9.767 * [backup-simplify]: Simplify 0 into 0
9.767 * [backup-simplify]: Simplify 0 into 0
9.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.768 * [backup-simplify]: Simplify 0 into 0
9.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.769 * [backup-simplify]: Simplify (* 1 1) into 1
9.769 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
9.770 * [backup-simplify]: Simplify (+ 1 0) into 1
9.770 * [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)))
9.770 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
9.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
9.770 * [taylor]: Taking taylor expansion of (pow x 4) in x
9.770 * [taylor]: Taking taylor expansion of x in x
9.770 * [backup-simplify]: Simplify 0 into 0
9.770 * [backup-simplify]: Simplify 1 into 1
9.770 * [backup-simplify]: Simplify (* 1 1) into 1
9.771 * [backup-simplify]: Simplify (* 1 1) into 1
9.771 * [backup-simplify]: Simplify (/ 1 1) into 1
9.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.777 * [backup-simplify]: Simplify (- 0) into 0
9.777 * [backup-simplify]: Simplify 0 into 0
9.777 * [backup-simplify]: Simplify 0 into 0
9.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.779 * [backup-simplify]: Simplify 0 into 0
9.779 * [backup-simplify]: Simplify 0 into 0
9.779 * [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)))))
9.779 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
9.779 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
9.779 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
9.779 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.779 * [taylor]: Taking taylor expansion of y in x
9.779 * [backup-simplify]: Simplify y into y
9.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
9.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.779 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.779 * [taylor]: Taking taylor expansion of y in x
9.779 * [backup-simplify]: Simplify y into y
9.779 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.779 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.779 * [taylor]: Taking taylor expansion of x in x
9.779 * [backup-simplify]: Simplify 0 into 0
9.779 * [backup-simplify]: Simplify 1 into 1
9.780 * [backup-simplify]: Simplify (* 1 1) into 1
9.780 * [backup-simplify]: Simplify (/ 1 1) into 1
9.780 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.780 * [backup-simplify]: Simplify (+ 0 1) into 1
9.780 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
9.780 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.780 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.780 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.780 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.780 * [taylor]: Taking taylor expansion of y in y
9.780 * [backup-simplify]: Simplify 0 into 0
9.780 * [backup-simplify]: Simplify 1 into 1
9.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.780 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.780 * [taylor]: Taking taylor expansion of y in y
9.780 * [backup-simplify]: Simplify 0 into 0
9.780 * [backup-simplify]: Simplify 1 into 1
9.781 * [backup-simplify]: Simplify (* 1 1) into 1
9.781 * [backup-simplify]: Simplify (/ 1 1) into 1
9.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.781 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.781 * [taylor]: Taking taylor expansion of x in y
9.781 * [backup-simplify]: Simplify x into x
9.781 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.781 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.781 * [backup-simplify]: Simplify (* 1 1) into 1
9.782 * [backup-simplify]: Simplify (+ 1 0) into 1
9.782 * [backup-simplify]: Simplify (* 1 1) into 1
9.782 * [backup-simplify]: Simplify (/ 1 1) into 1
9.782 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.782 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.782 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.782 * [taylor]: Taking taylor expansion of y in y
9.782 * [backup-simplify]: Simplify 0 into 0
9.782 * [backup-simplify]: Simplify 1 into 1
9.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.782 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.782 * [taylor]: Taking taylor expansion of y in y
9.782 * [backup-simplify]: Simplify 0 into 0
9.782 * [backup-simplify]: Simplify 1 into 1
9.783 * [backup-simplify]: Simplify (* 1 1) into 1
9.783 * [backup-simplify]: Simplify (/ 1 1) into 1
9.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.783 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.783 * [taylor]: Taking taylor expansion of x in y
9.783 * [backup-simplify]: Simplify x into x
9.783 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.783 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.783 * [backup-simplify]: Simplify (* 1 1) into 1
9.784 * [backup-simplify]: Simplify (+ 1 0) into 1
9.784 * [backup-simplify]: Simplify (* 1 1) into 1
9.784 * [backup-simplify]: Simplify (/ 1 1) into 1
9.784 * [taylor]: Taking taylor expansion of 1 in x
9.784 * [backup-simplify]: Simplify 1 into 1
9.784 * [backup-simplify]: Simplify 0 into 0
9.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.785 * [backup-simplify]: Simplify (+ 0 0) into 0
9.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.787 * [taylor]: Taking taylor expansion of 0 in x
9.787 * [backup-simplify]: Simplify 0 into 0
9.787 * [backup-simplify]: Simplify 0 into 0
9.787 * [backup-simplify]: Simplify 0 into 0
9.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.789 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
9.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.790 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
9.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
9.791 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
9.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.791 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.791 * [taylor]: Taking taylor expansion of x in x
9.791 * [backup-simplify]: Simplify 0 into 0
9.791 * [backup-simplify]: Simplify 1 into 1
9.791 * [backup-simplify]: Simplify (* 1 1) into 1
9.791 * [backup-simplify]: Simplify (/ 1 1) into 1
9.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.796 * [backup-simplify]: Simplify (- 0) into 0
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [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)))))
9.796 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
9.796 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
9.796 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
9.796 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.796 * [taylor]: Taking taylor expansion of y in x
9.797 * [backup-simplify]: Simplify y into y
9.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
9.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.797 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.797 * [taylor]: Taking taylor expansion of y in x
9.797 * [backup-simplify]: Simplify y into y
9.797 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.797 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.797 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.797 * [taylor]: Taking taylor expansion of x in x
9.797 * [backup-simplify]: Simplify 0 into 0
9.797 * [backup-simplify]: Simplify 1 into 1
9.797 * [backup-simplify]: Simplify (* 1 1) into 1
9.797 * [backup-simplify]: Simplify (/ 1 1) into 1
9.797 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.798 * [backup-simplify]: Simplify (+ 0 1) into 1
9.798 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
9.798 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.798 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.798 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.798 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.798 * [taylor]: Taking taylor expansion of y in y
9.798 * [backup-simplify]: Simplify 0 into 0
9.798 * [backup-simplify]: Simplify 1 into 1
9.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.798 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.798 * [taylor]: Taking taylor expansion of y in y
9.798 * [backup-simplify]: Simplify 0 into 0
9.798 * [backup-simplify]: Simplify 1 into 1
9.798 * [backup-simplify]: Simplify (* 1 1) into 1
9.798 * [backup-simplify]: Simplify (/ 1 1) into 1
9.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.799 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.799 * [taylor]: Taking taylor expansion of x in y
9.799 * [backup-simplify]: Simplify x into x
9.799 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.799 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.799 * [backup-simplify]: Simplify (* 1 1) into 1
9.799 * [backup-simplify]: Simplify (+ 1 0) into 1
9.799 * [backup-simplify]: Simplify (* 1 1) into 1
9.800 * [backup-simplify]: Simplify (/ 1 1) into 1
9.800 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.800 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.800 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.800 * [taylor]: Taking taylor expansion of y in y
9.800 * [backup-simplify]: Simplify 0 into 0
9.800 * [backup-simplify]: Simplify 1 into 1
9.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.800 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.800 * [taylor]: Taking taylor expansion of y in y
9.800 * [backup-simplify]: Simplify 0 into 0
9.800 * [backup-simplify]: Simplify 1 into 1
9.800 * [backup-simplify]: Simplify (* 1 1) into 1
9.800 * [backup-simplify]: Simplify (/ 1 1) into 1
9.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.800 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.800 * [taylor]: Taking taylor expansion of x in y
9.800 * [backup-simplify]: Simplify x into x
9.800 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.801 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.801 * [backup-simplify]: Simplify (* 1 1) into 1
9.801 * [backup-simplify]: Simplify (+ 1 0) into 1
9.801 * [backup-simplify]: Simplify (* 1 1) into 1
9.802 * [backup-simplify]: Simplify (/ 1 1) into 1
9.802 * [taylor]: Taking taylor expansion of 1 in x
9.802 * [backup-simplify]: Simplify 1 into 1
9.802 * [backup-simplify]: Simplify 0 into 0
9.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.803 * [backup-simplify]: Simplify (+ 0 0) into 0
9.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.804 * [taylor]: Taking taylor expansion of 0 in x
9.804 * [backup-simplify]: Simplify 0 into 0
9.804 * [backup-simplify]: Simplify 0 into 0
9.804 * [backup-simplify]: Simplify 0 into 0
9.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.805 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
9.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.806 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
9.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
9.807 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
9.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.807 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.807 * [taylor]: Taking taylor expansion of x in x
9.807 * [backup-simplify]: Simplify 0 into 0
9.807 * [backup-simplify]: Simplify 1 into 1
9.807 * [backup-simplify]: Simplify (* 1 1) into 1
9.808 * [backup-simplify]: Simplify (/ 1 1) into 1
9.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.812 * [backup-simplify]: Simplify (- 0) into 0
9.812 * [backup-simplify]: Simplify 0 into 0
9.812 * [backup-simplify]: Simplify 0 into 0
9.812 * [backup-simplify]: Simplify 0 into 0
9.812 * [backup-simplify]: Simplify 0 into 0
9.812 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 1 1 2)
9.812 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
9.812 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
9.812 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
9.812 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.812 * [taylor]: Taking taylor expansion of y in x
9.812 * [backup-simplify]: Simplify y into y
9.812 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
9.812 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.812 * [taylor]: Taking taylor expansion of y in x
9.812 * [backup-simplify]: Simplify y into y
9.812 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.812 * [taylor]: Taking taylor expansion of x in x
9.812 * [backup-simplify]: Simplify 0 into 0
9.813 * [backup-simplify]: Simplify 1 into 1
9.813 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.813 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.813 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
9.813 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
9.813 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
9.813 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.813 * [taylor]: Taking taylor expansion of y in y
9.813 * [backup-simplify]: Simplify 0 into 0
9.813 * [backup-simplify]: Simplify 1 into 1
9.813 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
9.813 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.813 * [taylor]: Taking taylor expansion of y in y
9.813 * [backup-simplify]: Simplify 0 into 0
9.813 * [backup-simplify]: Simplify 1 into 1
9.813 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.813 * [taylor]: Taking taylor expansion of x in y
9.813 * [backup-simplify]: Simplify x into x
9.813 * [backup-simplify]: Simplify (* 1 1) into 1
9.813 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.813 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
9.814 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.814 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
9.814 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.814 * [taylor]: Taking taylor expansion of y in y
9.814 * [backup-simplify]: Simplify 0 into 0
9.814 * [backup-simplify]: Simplify 1 into 1
9.814 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
9.814 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.814 * [taylor]: Taking taylor expansion of y in y
9.814 * [backup-simplify]: Simplify 0 into 0
9.814 * [backup-simplify]: Simplify 1 into 1
9.814 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.814 * [taylor]: Taking taylor expansion of x in y
9.814 * [backup-simplify]: Simplify x into x
9.814 * [backup-simplify]: Simplify (* 1 1) into 1
9.814 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.814 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
9.814 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.814 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.814 * [taylor]: Taking taylor expansion of x in x
9.814 * [backup-simplify]: Simplify 0 into 0
9.814 * [backup-simplify]: Simplify 1 into 1
9.815 * [backup-simplify]: Simplify (* 1 1) into 1
9.815 * [backup-simplify]: Simplify (/ 1 1) into 1
9.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.817 * [backup-simplify]: Simplify 0 into 0
9.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.817 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.818 * [backup-simplify]: Simplify (+ 0 0) into 0
9.818 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.818 * [taylor]: Taking taylor expansion of 0 in x
9.818 * [backup-simplify]: Simplify 0 into 0
9.818 * [backup-simplify]: Simplify 0 into 0
9.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.819 * [backup-simplify]: Simplify 0 into 0
9.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.820 * [backup-simplify]: Simplify (* 1 1) into 1
9.820 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
9.821 * [backup-simplify]: Simplify (+ 1 0) into 1
9.821 * [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)))
9.821 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
9.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
9.821 * [taylor]: Taking taylor expansion of (pow x 4) in x
9.821 * [taylor]: Taking taylor expansion of x in x
9.821 * [backup-simplify]: Simplify 0 into 0
9.821 * [backup-simplify]: Simplify 1 into 1
9.821 * [backup-simplify]: Simplify (* 1 1) into 1
9.822 * [backup-simplify]: Simplify (* 1 1) into 1
9.822 * [backup-simplify]: Simplify (/ 1 1) into 1
9.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.828 * [backup-simplify]: Simplify (- 0) into 0
9.828 * [backup-simplify]: Simplify 0 into 0
9.829 * [backup-simplify]: Simplify 0 into 0
9.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.830 * [backup-simplify]: Simplify 0 into 0
9.830 * [backup-simplify]: Simplify 0 into 0
9.830 * [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)))))
9.830 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
9.830 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
9.830 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
9.830 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.830 * [taylor]: Taking taylor expansion of y in x
9.830 * [backup-simplify]: Simplify y into y
9.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
9.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.830 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.830 * [taylor]: Taking taylor expansion of y in x
9.830 * [backup-simplify]: Simplify y into y
9.830 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.830 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.830 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.830 * [taylor]: Taking taylor expansion of x in x
9.830 * [backup-simplify]: Simplify 0 into 0
9.830 * [backup-simplify]: Simplify 1 into 1
9.831 * [backup-simplify]: Simplify (* 1 1) into 1
9.831 * [backup-simplify]: Simplify (/ 1 1) into 1
9.831 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.831 * [backup-simplify]: Simplify (+ 0 1) into 1
9.831 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
9.831 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.831 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.831 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.831 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.831 * [taylor]: Taking taylor expansion of y in y
9.832 * [backup-simplify]: Simplify 0 into 0
9.832 * [backup-simplify]: Simplify 1 into 1
9.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.832 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.832 * [taylor]: Taking taylor expansion of y in y
9.832 * [backup-simplify]: Simplify 0 into 0
9.832 * [backup-simplify]: Simplify 1 into 1
9.832 * [backup-simplify]: Simplify (* 1 1) into 1
9.832 * [backup-simplify]: Simplify (/ 1 1) into 1
9.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.832 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.832 * [taylor]: Taking taylor expansion of x in y
9.832 * [backup-simplify]: Simplify x into x
9.832 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.832 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.833 * [backup-simplify]: Simplify (* 1 1) into 1
9.833 * [backup-simplify]: Simplify (+ 1 0) into 1
9.833 * [backup-simplify]: Simplify (* 1 1) into 1
9.833 * [backup-simplify]: Simplify (/ 1 1) into 1
9.833 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.833 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.833 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.833 * [taylor]: Taking taylor expansion of y in y
9.833 * [backup-simplify]: Simplify 0 into 0
9.833 * [backup-simplify]: Simplify 1 into 1
9.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.833 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.833 * [taylor]: Taking taylor expansion of y in y
9.833 * [backup-simplify]: Simplify 0 into 0
9.833 * [backup-simplify]: Simplify 1 into 1
9.834 * [backup-simplify]: Simplify (* 1 1) into 1
9.834 * [backup-simplify]: Simplify (/ 1 1) into 1
9.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.834 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.834 * [taylor]: Taking taylor expansion of x in y
9.834 * [backup-simplify]: Simplify x into x
9.834 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.834 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.834 * [backup-simplify]: Simplify (* 1 1) into 1
9.835 * [backup-simplify]: Simplify (+ 1 0) into 1
9.835 * [backup-simplify]: Simplify (* 1 1) into 1
9.835 * [backup-simplify]: Simplify (/ 1 1) into 1
9.835 * [taylor]: Taking taylor expansion of 1 in x
9.835 * [backup-simplify]: Simplify 1 into 1
9.835 * [backup-simplify]: Simplify 0 into 0
9.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.836 * [backup-simplify]: Simplify (+ 0 0) into 0
9.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.838 * [taylor]: Taking taylor expansion of 0 in x
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [backup-simplify]: Simplify 0 into 0
9.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.844 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
9.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.847 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
9.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
9.847 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
9.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.847 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.847 * [taylor]: Taking taylor expansion of x in x
9.847 * [backup-simplify]: Simplify 0 into 0
9.848 * [backup-simplify]: Simplify 1 into 1
9.848 * [backup-simplify]: Simplify (* 1 1) into 1
9.848 * [backup-simplify]: Simplify (/ 1 1) into 1
9.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.856 * [backup-simplify]: Simplify (- 0) into 0
9.856 * [backup-simplify]: Simplify 0 into 0
9.856 * [backup-simplify]: Simplify 0 into 0
9.856 * [backup-simplify]: Simplify 0 into 0
9.856 * [backup-simplify]: Simplify 0 into 0
9.857 * [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)))))
9.857 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
9.857 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
9.857 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
9.857 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.857 * [taylor]: Taking taylor expansion of y in x
9.857 * [backup-simplify]: Simplify y into y
9.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
9.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.857 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.857 * [taylor]: Taking taylor expansion of y in x
9.857 * [backup-simplify]: Simplify y into y
9.857 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.857 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.857 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.857 * [taylor]: Taking taylor expansion of x in x
9.857 * [backup-simplify]: Simplify 0 into 0
9.858 * [backup-simplify]: Simplify 1 into 1
9.858 * [backup-simplify]: Simplify (* 1 1) into 1
9.858 * [backup-simplify]: Simplify (/ 1 1) into 1
9.858 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.859 * [backup-simplify]: Simplify (+ 0 1) into 1
9.859 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
9.859 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.859 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.859 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.859 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.859 * [taylor]: Taking taylor expansion of y in y
9.859 * [backup-simplify]: Simplify 0 into 0
9.859 * [backup-simplify]: Simplify 1 into 1
9.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.859 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.859 * [taylor]: Taking taylor expansion of y in y
9.859 * [backup-simplify]: Simplify 0 into 0
9.859 * [backup-simplify]: Simplify 1 into 1
9.860 * [backup-simplify]: Simplify (* 1 1) into 1
9.860 * [backup-simplify]: Simplify (/ 1 1) into 1
9.860 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.860 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.860 * [taylor]: Taking taylor expansion of x in y
9.860 * [backup-simplify]: Simplify x into x
9.860 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.861 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.861 * [backup-simplify]: Simplify (* 1 1) into 1
9.861 * [backup-simplify]: Simplify (+ 1 0) into 1
9.862 * [backup-simplify]: Simplify (* 1 1) into 1
9.862 * [backup-simplify]: Simplify (/ 1 1) into 1
9.862 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
9.862 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
9.862 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.862 * [taylor]: Taking taylor expansion of y in y
9.862 * [backup-simplify]: Simplify 0 into 0
9.862 * [backup-simplify]: Simplify 1 into 1
9.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
9.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.862 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.862 * [taylor]: Taking taylor expansion of y in y
9.862 * [backup-simplify]: Simplify 0 into 0
9.862 * [backup-simplify]: Simplify 1 into 1
9.863 * [backup-simplify]: Simplify (* 1 1) into 1
9.863 * [backup-simplify]: Simplify (/ 1 1) into 1
9.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.863 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.863 * [taylor]: Taking taylor expansion of x in y
9.863 * [backup-simplify]: Simplify x into x
9.863 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.863 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.863 * [backup-simplify]: Simplify (* 1 1) into 1
9.864 * [backup-simplify]: Simplify (+ 1 0) into 1
9.864 * [backup-simplify]: Simplify (* 1 1) into 1
9.864 * [backup-simplify]: Simplify (/ 1 1) into 1
9.864 * [taylor]: Taking taylor expansion of 1 in x
9.864 * [backup-simplify]: Simplify 1 into 1
9.864 * [backup-simplify]: Simplify 0 into 0
9.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.865 * [backup-simplify]: Simplify (+ 0 0) into 0
9.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.866 * [taylor]: Taking taylor expansion of 0 in x
9.866 * [backup-simplify]: Simplify 0 into 0
9.866 * [backup-simplify]: Simplify 0 into 0
9.866 * [backup-simplify]: Simplify 0 into 0
9.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.868 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
9.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.869 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
9.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
9.869 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
9.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.869 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.869 * [taylor]: Taking taylor expansion of x in x
9.869 * [backup-simplify]: Simplify 0 into 0
9.869 * [backup-simplify]: Simplify 1 into 1
9.869 * [backup-simplify]: Simplify (* 1 1) into 1
9.870 * [backup-simplify]: Simplify (/ 1 1) into 1
9.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.874 * [backup-simplify]: Simplify (- 0) into 0
9.874 * [backup-simplify]: Simplify 0 into 0
9.874 * [backup-simplify]: Simplify 0 into 0
9.874 * [backup-simplify]: Simplify 0 into 0
9.874 * [backup-simplify]: Simplify 0 into 0
9.874 * * * [progress]: simplifying candidates
9.876 * [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 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 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 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))))
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
9.877 * * [simplify]: iteration 0: 53 enodes
9.887 * * [simplify]: iteration 1: 175 enodes
9.966 * * [simplify]: iteration 2: 1247 enodes
10.762 * * [simplify]: iteration complete: 5001 enodes
10.762 * * [simplify]: Extracting #0: cost 23 inf + 0
10.765 * * [simplify]: Extracting #1: cost 1008 inf + 43
10.775 * * [simplify]: Extracting #2: cost 2118 inf + 2271
10.789 * * [simplify]: Extracting #3: cost 1995 inf + 21827
10.830 * * [simplify]: Extracting #4: cost 1424 inf + 130257
10.940 * * [simplify]: Extracting #5: cost 302 inf + 376240
11.077 * * [simplify]: Extracting #6: cost 4 inf + 453551
11.168 * * [simplify]: Extracting #7: cost 0 inf + 454679
11.306 * [simplify]: Simplified to:
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (exp (/ (* 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) (+ (* y y) (* x x)))))
  (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))
  (cbrt (/ (* y y) (+ (* y y) (* x x))))
  (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (- (* y y))
  (- (+ (* y y) (* x x)))
  (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))
  (/ y (cbrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  y
  (/ y (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* y y))
  (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (* y y)
  (/ (+ (* y y) (* x x)) y)
  (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (exp (/ (* 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) (+ (* y y) (* x x)))))
  (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))
  (cbrt (/ (* y y) (+ (* y y) (* x x))))
  (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (- (* y y))
  (- (+ (* y y) (* x x)))
  (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))
  (/ y (cbrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  y
  (/ y (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* y y))
  (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (* y y)
  (/ (+ (* y y) (* x x)) y)
  (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (exp (/ (* 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) (+ (* y y) (* x x)))))
  (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))
  (cbrt (/ (* y y) (+ (* y y) (* x x))))
  (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (- (* y y))
  (- (+ (* y y) (* x x)))
  (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))
  (/ y (cbrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  y
  (/ y (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* y y))
  (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (* y y)
  (/ (+ (* y y) (* x x)) y)
  (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (exp (/ (* 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) (+ (* y y) (* x x)))))
  (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))
  (cbrt (/ (* y y) (+ (* y y) (* x x))))
  (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (- (* y y))
  (- (+ (* y y) (* x x)))
  (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))
  (/ y (cbrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  y
  (/ y (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* y y))
  (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (* y y)
  (/ (+ (* y y) (* x x)) y)
  (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y))))
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
  0
11.358 * * * [progress]: adding candidates to table
12.134 * [progress]: [Phase 3 of 3] Extracting.
12.134 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) 1)> #<alt (λ (x 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)))) (+ (* (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)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))))> #<alt (λ (x 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))))))))> #<alt (λ (x y) -1)>)
12.140 * * * [regime-changes]: Trying 2 branch expressions: (y x)
12.141 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) 1)> #<alt (λ (x 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)))) (+ (* (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)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))))> #<alt (λ (x 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))))))))> #<alt (λ (x y) -1)>)
12.239 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) 1)> #<alt (λ (x 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)))) (+ (* (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)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))))> #<alt (λ (x 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))))))))> #<alt (λ (x y) -1)>)
12.294 * * * [regime]: Found split indices: #<option (#s(si 3 51) #s(si 1 152) #s(si 3 159) #s(si 0 217) #s(si 2 255))>
12.296 * [binary-search]: Improving bounds with binary search for y and (#<alt (λ (x y) 1)> #<alt (λ (x 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)))) (+ (* (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)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))))> #<alt (λ (x 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))))))))> #<alt (λ (x y) -1)>)
12.477 * [regimes]: Found splitpoints: (#s(sp 3 y -1.57606065644376e+153) #s(sp 1 y -7.512106064144896e-163) #s(sp 3 y -9.739334495050349e-187) #s(sp 0 y 6.255179780863847e-169) #s(sp 2 y +nan.0)) , with alts (#<alt (λ (x y) 1)> #<alt (λ (x 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)))) (+ (* (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)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))))> #<alt (λ (x 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))))))))> #<alt (λ (x y) -1)>)
12.478 * [simplify]: Simplifying:
  (if (<= y -1.57606065644376e+153) -1 (if (<= y -7.512106064144896e-163) (/ (- (* (/ (* 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)))) (+ (* (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)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))) (if (<= y -9.739334495050349e-187) -1 (if (<= y 6.255179780863847e-169) 1 (/ (- (* (/ (* 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)))))))))))
12.478 * * [simplify]: iteration 0: 36 enodes
12.480 * * [simplify]: iteration 1: 46 enodes
12.481 * * [simplify]: iteration complete: 46 enodes
12.481 * * [simplify]: Extracting #0: cost 1 inf + 0
12.481 * * [simplify]: Extracting #1: cost 4 inf + 0
12.481 * * [simplify]: Extracting #2: cost 8 inf + 1
12.482 * * [simplify]: Extracting #3: cost 11 inf + 3
12.482 * * [simplify]: Extracting #4: cost 16 inf + 138
12.482 * * [simplify]: Extracting #5: cost 21 inf + 140
12.482 * * [simplify]: Extracting #6: cost 24 inf + 208
12.482 * * [simplify]: Extracting #7: cost 23 inf + 316
12.482 * * [simplify]: Extracting #8: cost 19 inf + 642
12.482 * * [simplify]: Extracting #9: cost 12 inf + 2336
12.483 * * [simplify]: Extracting #10: cost 10 inf + 2980
12.484 * * [simplify]: Extracting #11: cost 7 inf + 4226
12.485 * * [simplify]: Extracting #12: cost 4 inf + 6044
12.487 * * [simplify]: Extracting #13: cost 0 inf + 10077
12.490 * [simplify]: Simplified to:
  (if (<= y -1.57606065644376e+153) -1 (if (<= y -7.512106064144896e-163) (/ (- (* (/ (* 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))) (/ (* 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))))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))) (if (<= y -9.739334495050349e-187) -1 (if (<= y 6.255179780863847e-169) 1 (/ (- (* (/ (* 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))))) (+ (+ (* (/ (* 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))))))))))
14.620 * [regime-testing]: Baseline error score: 21.516043036546705
14.637 * [regime-testing]: Oracle error score: 0.47261484846425883
14.670 * [regime-testing]: End program error score: 5.007240686197084
14.779 * [regime-testing]: Target error score: 0.0557312148417891