27.994 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.023 * * * [progress]: [2/2] Setting up program.
0.026 * [progress]: [Phase 2 of 3] Improving.
0.027 * [simplify]: Simplifying:
  (+ (+ (* x x) y) y)
0.027 * * [simplify]: iteration 0: 5 enodes
0.028 * * [simplify]: iteration 1: 9 enodes
0.029 * * [simplify]: iteration 2: 12 enodes
0.030 * * [simplify]: iteration 3: 13 enodes
0.032 * * [simplify]: iteration complete: 13 enodes
0.032 * * [simplify]: Extracting #0: cost 1 inf + 0
0.032 * * [simplify]: Extracting #1: cost 5 inf + 0
0.032 * * [simplify]: Extracting #2: cost 5 inf + 42
0.032 * * [simplify]: Extracting #3: cost 3 inf + 44
0.032 * * [simplify]: Extracting #4: cost 0 inf + 289
0.032 * [simplify]: Simplified to:
  (+ (+ (* x x) y) y)
0.033 * * [progress]: iteration 1 / 4
0.033 * * * [progress]: picking best candidate
0.036 * * * * [pick]: Picked  #<alt (λ (x y) (+ (+ (* x x) y) y))>
0.036 * * * [progress]: localizing error
0.043 * * * [progress]: generating rewritten candidates
0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.101 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.114 * * * [progress]: generating series expansions
0.114 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.115 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y))
0.115 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0
0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y
0.115 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.115 * [taylor]: Taking taylor expansion of x in y
0.115 * [backup-simplify]: Simplify x into x
0.115 * [taylor]: Taking taylor expansion of (* 2 y) in y
0.115 * [taylor]: Taking taylor expansion of 2 in y
0.115 * [backup-simplify]: Simplify 2 into 2
0.115 * [taylor]: Taking taylor expansion of y in y
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x
0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.115 * [taylor]: Taking taylor expansion of x in x
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [taylor]: Taking taylor expansion of (* 2 y) in x
0.115 * [taylor]: Taking taylor expansion of 2 in x
0.115 * [backup-simplify]: Simplify 2 into 2
0.115 * [taylor]: Taking taylor expansion of y in x
0.115 * [backup-simplify]: Simplify y into y
0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x
0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.115 * [taylor]: Taking taylor expansion of x in x
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [taylor]: Taking taylor expansion of (* 2 y) in x
0.116 * [taylor]: Taking taylor expansion of 2 in x
0.116 * [backup-simplify]: Simplify 2 into 2
0.116 * [taylor]: Taking taylor expansion of y in x
0.116 * [backup-simplify]: Simplify y into y
0.116 * [backup-simplify]: Simplify (* 2 y) into (* 2 y)
0.116 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
0.116 * [taylor]: Taking taylor expansion of (* 2 y) in y
0.116 * [taylor]: Taking taylor expansion of 2 in y
0.116 * [backup-simplify]: Simplify 2 into 2
0.116 * [taylor]: Taking taylor expansion of y in y
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (* 2 0) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [taylor]: Taking taylor expansion of 0 in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
0.119 * [backup-simplify]: Simplify 2 into 2
0.119 * [backup-simplify]: Simplify (* 1 1) into 1
0.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0
0.120 * [backup-simplify]: Simplify (+ 1 0) into 1
0.120 * [taylor]: Taking taylor expansion of 1 in y
0.120 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [taylor]: Taking taylor expansion of 0 in y
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y))
0.126 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))
0.126 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0
0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.126 * [taylor]: Taking taylor expansion of x in y
0.126 * [backup-simplify]: Simplify x into x
0.126 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.126 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.126 * [taylor]: Taking taylor expansion of 2 in y
0.126 * [backup-simplify]: Simplify 2 into 2
0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.126 * [taylor]: Taking taylor expansion of y in y
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (/ 1 1) into 1
0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.127 * [taylor]: Taking taylor expansion of x in x
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (* 1 1) into 1
0.127 * [backup-simplify]: Simplify (/ 1 1) into 1
0.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.127 * [taylor]: Taking taylor expansion of 2 in x
0.127 * [backup-simplify]: Simplify 2 into 2
0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.127 * [taylor]: Taking taylor expansion of y in x
0.128 * [backup-simplify]: Simplify y into y
0.128 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.128 * [taylor]: Taking taylor expansion of x in x
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (* 1 1) into 1
0.128 * [backup-simplify]: Simplify (/ 1 1) into 1
0.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.128 * [taylor]: Taking taylor expansion of 2 in x
0.128 * [backup-simplify]: Simplify 2 into 2
0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.128 * [taylor]: Taking taylor expansion of y in x
0.129 * [backup-simplify]: Simplify y into y
0.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.129 * [backup-simplify]: Simplify (+ 1 0) into 1
0.129 * [taylor]: Taking taylor expansion of 1 in y
0.129 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [taylor]: Taking taylor expansion of 0 in y
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
0.133 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
0.133 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.133 * [taylor]: Taking taylor expansion of 2 in y
0.133 * [backup-simplify]: Simplify 2 into 2
0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.133 * [taylor]: Taking taylor expansion of y in y
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (/ 1 1) into 1
0.133 * [backup-simplify]: Simplify (* 2 1) into 2
0.133 * [backup-simplify]: Simplify 2 into 2
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.136 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [taylor]: Taking taylor expansion of 0 in y
0.136 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [taylor]: Taking taylor expansion of 0 in y
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y))
0.142 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))
0.142 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0
0.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y
0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.142 * [taylor]: Taking taylor expansion of x in y
0.142 * [backup-simplify]: Simplify x into x
0.142 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.142 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.142 * [taylor]: Taking taylor expansion of 2 in y
0.142 * [backup-simplify]: Simplify 2 into 2
0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.142 * [taylor]: Taking taylor expansion of y in y
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (/ 1 1) into 1
0.143 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.143 * [taylor]: Taking taylor expansion of x in x
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (* 1 1) into 1
0.144 * [backup-simplify]: Simplify (/ 1 1) into 1
0.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.144 * [taylor]: Taking taylor expansion of 2 in x
0.144 * [backup-simplify]: Simplify 2 into 2
0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.144 * [taylor]: Taking taylor expansion of y in x
0.144 * [backup-simplify]: Simplify y into y
0.144 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.144 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.144 * [taylor]: Taking taylor expansion of x in x
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (* 1 1) into 1
0.145 * [backup-simplify]: Simplify (/ 1 1) into 1
0.145 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
0.145 * [taylor]: Taking taylor expansion of 2 in x
0.145 * [backup-simplify]: Simplify 2 into 2
0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.145 * [taylor]: Taking taylor expansion of y in x
0.145 * [backup-simplify]: Simplify y into y
0.145 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.145 * [backup-simplify]: Simplify (+ 1 0) into 1
0.145 * [taylor]: Taking taylor expansion of 1 in y
0.145 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [taylor]: Taking taylor expansion of 0 in y
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.148 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
0.148 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y)))
0.148 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y)))
0.148 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y
0.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.148 * [taylor]: Taking taylor expansion of 2 in y
0.148 * [backup-simplify]: Simplify 2 into 2
0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.148 * [taylor]: Taking taylor expansion of y in y
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (/ 1 1) into 1
0.149 * [backup-simplify]: Simplify (* 2 1) into 2
0.149 * [backup-simplify]: Simplify (- 2) into -2
0.149 * [backup-simplify]: Simplify -2 into -2
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.150 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
0.151 * [backup-simplify]: Simplify (- 0) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [taylor]: Taking taylor expansion of 0 in y
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.152 * [backup-simplify]: Simplify (- 0) into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.154 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.154 * [backup-simplify]: Simplify (- 0) into 0
0.154 * [backup-simplify]: Simplify (+ 0 0) into 0
0.154 * [taylor]: Taking taylor expansion of 0 in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y))
0.155 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.155 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.155 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.155 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.155 * [taylor]: Taking taylor expansion of x in y
0.155 * [backup-simplify]: Simplify x into x
0.155 * [taylor]: Taking taylor expansion of y in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.155 * [taylor]: Taking taylor expansion of x in x
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of y in x
0.155 * [backup-simplify]: Simplify y into y
0.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.155 * [taylor]: Taking taylor expansion of x in x
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of y in x
0.155 * [backup-simplify]: Simplify y into y
0.155 * [backup-simplify]: Simplify (+ 0 y) into y
0.155 * [taylor]: Taking taylor expansion of y in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.156 * [taylor]: Taking taylor expansion of 0 in y
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (* 1 1) into 1
0.156 * [backup-simplify]: Simplify (+ 1 0) into 1
0.156 * [taylor]: Taking taylor expansion of 1 in y
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [taylor]: Taking taylor expansion of 0 in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.157 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.157 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.158 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.158 * [taylor]: Taking taylor expansion of x in y
0.158 * [backup-simplify]: Simplify x into x
0.158 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.158 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.158 * [taylor]: Taking taylor expansion of y in y
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (/ 1 1) into 1
0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.158 * [taylor]: Taking taylor expansion of x in x
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (/ 1 1) into 1
0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.159 * [taylor]: Taking taylor expansion of y in x
0.159 * [backup-simplify]: Simplify y into y
0.159 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.159 * [taylor]: Taking taylor expansion of x in x
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (/ 1 1) into 1
0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.159 * [taylor]: Taking taylor expansion of y in x
0.159 * [backup-simplify]: Simplify y into y
0.159 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.160 * [backup-simplify]: Simplify (+ 1 0) into 1
0.160 * [taylor]: Taking taylor expansion of 1 in y
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [taylor]: Taking taylor expansion of 0 in y
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.162 * [taylor]: Taking taylor expansion of y in y
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (/ 1 1) into 1
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [taylor]: Taking taylor expansion of 0 in y
0.164 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [taylor]: Taking taylor expansion of 0 in y
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.167 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.167 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.167 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.167 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.167 * [taylor]: Taking taylor expansion of x in y
0.167 * [backup-simplify]: Simplify x into x
0.167 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.167 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.167 * [taylor]: Taking taylor expansion of y in y
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (/ 1 1) into 1
0.167 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.167 * [taylor]: Taking taylor expansion of x in x
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (* 1 1) into 1
0.168 * [backup-simplify]: Simplify (/ 1 1) into 1
0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.168 * [taylor]: Taking taylor expansion of y in x
0.168 * [backup-simplify]: Simplify y into y
0.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.168 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.168 * [taylor]: Taking taylor expansion of x in x
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (* 1 1) into 1
0.168 * [backup-simplify]: Simplify (/ 1 1) into 1
0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.168 * [taylor]: Taking taylor expansion of y in x
0.168 * [backup-simplify]: Simplify y into y
0.169 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.169 * [backup-simplify]: Simplify (+ 1 0) into 1
0.169 * [taylor]: Taking taylor expansion of 1 in y
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.170 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [taylor]: Taking taylor expansion of 0 in y
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.171 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.171 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.171 * [taylor]: Taking taylor expansion of y in y
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [backup-simplify]: Simplify (- 1) into -1
0.172 * [backup-simplify]: Simplify -1 into -1
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.173 * [backup-simplify]: Simplify (- 0) into 0
0.174 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [taylor]: Taking taylor expansion of 0 in y
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (- 0) into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.176 * [backup-simplify]: Simplify (- 0) into 0
0.176 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [taylor]: Taking taylor expansion of 0 in y
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.177 * * * [progress]: simplifying candidates
0.177 * [simplify]: Simplifying:
  (* (* (exp (* x x)) (exp y)) (exp y))
  (* (exp (+ (* x x) y)) (exp 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) y) 3) (pow y 3))
  (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))
  (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))
  (- (+ (* x x) y) y)
  (+ (+ (* x x) y) y)
  (+ y y)
  (* (exp (* x x)) (exp y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))
  (- (* (* x x) (* x x)) (* y y))
  (- (* x x) y)
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
0.177 * * [simplify]: iteration 0: 48 enodes
0.188 * * [simplify]: iteration 1: 155 enodes
0.273 * * [simplify]: iteration 2: 563 enodes
0.635 * * [simplify]: iteration 3: 3203 enodes
2.050 * * [simplify]: iteration complete: 5012 enodes
2.050 * * [simplify]: Extracting #0: cost 23 inf + 0
2.051 * * [simplify]: Extracting #1: cost 319 inf + 0
2.057 * * [simplify]: Extracting #2: cost 1217 inf + 370
2.075 * * [simplify]: Extracting #3: cost 1450 inf + 33620
2.144 * * [simplify]: Extracting #4: cost 482 inf + 196522
2.213 * * [simplify]: Extracting #5: cost 98 inf + 285196
2.288 * * [simplify]: Extracting #6: cost 24 inf + 301088
2.353 * * [simplify]: Extracting #7: cost 5 inf + 304691
2.414 * * [simplify]: Extracting #8: cost 0 inf + 305956
2.506 * [simplify]: Simplified to:
  (exp (+ (+ y y) (* x x)))
  (exp (+ (+ y y) (* x x)))
  (log (+ y (+ (* x x) y)))
  (exp (+ (+ y y) (* x x)))
  (* (cbrt (+ y (+ (* x x) y))) (cbrt (+ y (+ (* x x) y))))
  (cbrt (+ y (+ (* x x) y)))
  (* (+ y (+ (* x x) y)) (* (+ y (+ (* x x) y)) (+ y (+ (* x x) y))))
  (sqrt (+ y (+ (* x x) y)))
  (sqrt (+ y (+ (* x x) y)))
  (+ (* y (* y y)) (* (* (+ y (* x x)) (+ y (* x x))) (+ y (* x x))))
  (+ (* (* x x) (* x x)) (* y (+ (* x x) y)))
  (* (+ y (+ (* x x) y)) (* x x))
  (* x x)
  (+ y (+ (* x x) y))
  (+ y y)
  (exp (+ (* x x) y))
  (log (+ y (* x x)))
  (exp (+ (* x x) y))
  (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))
  (cbrt (+ y (* x x)))
  (* (* (+ y (* x x)) (+ y (* x x))) (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (+ (* y (* y y)) (* (* x x) (* (* x x) (* x x))))
  (+ (* (* x x) (* x x)) (* y (- y (* x x))))
  (* (- (* x x) y) (+ y (* x x)))
  (- (* x x) y)
  (+ y (+ (* x x) y))
  (+ y (+ (* x x) y))
  (+ y (+ (* x x) y))
  (+ y (* x x))
  (+ y (* x x))
  (+ y (* x x))
2.508 * * * [progress]: adding candidates to table
2.641 * * [progress]: iteration 2 / 4
2.641 * * * [progress]: picking best candidate
2.652 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (+ y y)))>
2.652 * * * [progress]: localizing error
2.665 * * * [progress]: generating rewritten candidates
2.665 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
2.687 * * * [progress]: generating series expansions
2.687 * * * * [progress]: [ 1 / 1 ] generating series at (2)
2.688 * [backup-simplify]: Simplify (+ (* x x) (+ y y)) into (+ (pow x 2) (* 2 y))
2.688 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0
2.688 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y
2.688 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.688 * [taylor]: Taking taylor expansion of x in y
2.688 * [backup-simplify]: Simplify x into x
2.688 * [taylor]: Taking taylor expansion of (* 2 y) in y
2.688 * [taylor]: Taking taylor expansion of 2 in y
2.688 * [backup-simplify]: Simplify 2 into 2
2.688 * [taylor]: Taking taylor expansion of y in y
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify 1 into 1
2.688 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x
2.688 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.688 * [taylor]: Taking taylor expansion of x in x
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify 1 into 1
2.688 * [taylor]: Taking taylor expansion of (* 2 y) in x
2.688 * [taylor]: Taking taylor expansion of 2 in x
2.688 * [backup-simplify]: Simplify 2 into 2
2.688 * [taylor]: Taking taylor expansion of y in x
2.688 * [backup-simplify]: Simplify y into y
2.688 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x
2.688 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.688 * [taylor]: Taking taylor expansion of x in x
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify 1 into 1
2.688 * [taylor]: Taking taylor expansion of (* 2 y) in x
2.688 * [taylor]: Taking taylor expansion of 2 in x
2.688 * [backup-simplify]: Simplify 2 into 2
2.688 * [taylor]: Taking taylor expansion of y in x
2.688 * [backup-simplify]: Simplify y into y
2.688 * [backup-simplify]: Simplify (* 2 y) into (* 2 y)
2.688 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
2.688 * [taylor]: Taking taylor expansion of (* 2 y) in y
2.688 * [taylor]: Taking taylor expansion of 2 in y
2.688 * [backup-simplify]: Simplify 2 into 2
2.688 * [taylor]: Taking taylor expansion of y in y
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify 1 into 1
2.689 * [backup-simplify]: Simplify (* 2 0) into 0
2.689 * [backup-simplify]: Simplify 0 into 0
2.689 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0
2.689 * [backup-simplify]: Simplify (+ 0 0) into 0
2.690 * [taylor]: Taking taylor expansion of 0 in y
2.690 * [backup-simplify]: Simplify 0 into 0
2.690 * [backup-simplify]: Simplify 0 into 0
2.690 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
2.690 * [backup-simplify]: Simplify 2 into 2
2.690 * [backup-simplify]: Simplify (* 1 1) into 1
2.691 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0
2.691 * [backup-simplify]: Simplify (+ 1 0) into 1
2.691 * [taylor]: Taking taylor expansion of 1 in y
2.691 * [backup-simplify]: Simplify 1 into 1
2.691 * [backup-simplify]: Simplify 1 into 1
2.691 * [backup-simplify]: Simplify 0 into 0
2.692 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
2.692 * [backup-simplify]: Simplify 0 into 0
2.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.693 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.693 * [backup-simplify]: Simplify (+ 0 0) into 0
2.693 * [taylor]: Taking taylor expansion of 0 in y
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y))
2.694 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (+ (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))
2.694 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0
2.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y
2.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.694 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.694 * [taylor]: Taking taylor expansion of x in y
2.694 * [backup-simplify]: Simplify x into x
2.694 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.694 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.694 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
2.694 * [taylor]: Taking taylor expansion of 2 in y
2.694 * [backup-simplify]: Simplify 2 into 2
2.694 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.694 * [taylor]: Taking taylor expansion of y in y
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 1 into 1
2.695 * [backup-simplify]: Simplify (/ 1 1) into 1
2.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
2.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.695 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.695 * [taylor]: Taking taylor expansion of x in x
2.695 * [backup-simplify]: Simplify 0 into 0
2.695 * [backup-simplify]: Simplify 1 into 1
2.695 * [backup-simplify]: Simplify (* 1 1) into 1
2.695 * [backup-simplify]: Simplify (/ 1 1) into 1
2.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
2.695 * [taylor]: Taking taylor expansion of 2 in x
2.695 * [backup-simplify]: Simplify 2 into 2
2.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.695 * [taylor]: Taking taylor expansion of y in x
2.695 * [backup-simplify]: Simplify y into y
2.695 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
2.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.695 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.695 * [taylor]: Taking taylor expansion of x in x
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify 1 into 1
2.696 * [backup-simplify]: Simplify (* 1 1) into 1
2.696 * [backup-simplify]: Simplify (/ 1 1) into 1
2.696 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
2.696 * [taylor]: Taking taylor expansion of 2 in x
2.696 * [backup-simplify]: Simplify 2 into 2
2.696 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.696 * [taylor]: Taking taylor expansion of y in x
2.696 * [backup-simplify]: Simplify y into y
2.696 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.696 * [backup-simplify]: Simplify (+ 1 0) into 1
2.696 * [taylor]: Taking taylor expansion of 1 in y
2.696 * [backup-simplify]: Simplify 1 into 1
2.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.697 * [backup-simplify]: Simplify (+ 0 0) into 0
2.698 * [taylor]: Taking taylor expansion of 0 in y
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 1 into 1
2.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
2.699 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
2.699 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
2.699 * [taylor]: Taking taylor expansion of 2 in y
2.699 * [backup-simplify]: Simplify 2 into 2
2.699 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.699 * [taylor]: Taking taylor expansion of y in y
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 1 into 1
2.699 * [backup-simplify]: Simplify (/ 1 1) into 1
2.699 * [backup-simplify]: Simplify (* 2 1) into 2
2.699 * [backup-simplify]: Simplify 2 into 2
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.701 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
2.701 * [backup-simplify]: Simplify (+ 0 0) into 0
2.701 * [taylor]: Taking taylor expansion of 0 in y
2.701 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.702 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.704 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.704 * [backup-simplify]: Simplify (+ 0 0) into 0
2.704 * [taylor]: Taking taylor expansion of 0 in y
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y))
2.705 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))
2.705 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0
2.705 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y
2.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.705 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.705 * [taylor]: Taking taylor expansion of x in y
2.705 * [backup-simplify]: Simplify x into x
2.705 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.705 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.705 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
2.705 * [taylor]: Taking taylor expansion of 2 in y
2.705 * [backup-simplify]: Simplify 2 into 2
2.705 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.705 * [taylor]: Taking taylor expansion of y in y
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 1 into 1
2.705 * [backup-simplify]: Simplify (/ 1 1) into 1
2.705 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
2.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.705 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.705 * [taylor]: Taking taylor expansion of x in x
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 1 into 1
2.705 * [backup-simplify]: Simplify (* 1 1) into 1
2.706 * [backup-simplify]: Simplify (/ 1 1) into 1
2.706 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
2.706 * [taylor]: Taking taylor expansion of 2 in x
2.706 * [backup-simplify]: Simplify 2 into 2
2.706 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.706 * [taylor]: Taking taylor expansion of y in x
2.706 * [backup-simplify]: Simplify y into y
2.706 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.706 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
2.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.706 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.706 * [taylor]: Taking taylor expansion of x in x
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 1 into 1
2.706 * [backup-simplify]: Simplify (* 1 1) into 1
2.706 * [backup-simplify]: Simplify (/ 1 1) into 1
2.706 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
2.707 * [taylor]: Taking taylor expansion of 2 in x
2.707 * [backup-simplify]: Simplify 2 into 2
2.707 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.707 * [taylor]: Taking taylor expansion of y in x
2.707 * [backup-simplify]: Simplify y into y
2.707 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.707 * [backup-simplify]: Simplify (+ 1 0) into 1
2.707 * [taylor]: Taking taylor expansion of 1 in y
2.707 * [backup-simplify]: Simplify 1 into 1
2.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.708 * [backup-simplify]: Simplify (+ 0 0) into 0
2.708 * [taylor]: Taking taylor expansion of 0 in y
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify 1 into 1
2.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.709 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
2.709 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y)))
2.709 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y)))
2.709 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y
2.709 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
2.709 * [taylor]: Taking taylor expansion of 2 in y
2.709 * [backup-simplify]: Simplify 2 into 2
2.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.709 * [taylor]: Taking taylor expansion of y in y
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.710 * [backup-simplify]: Simplify (/ 1 1) into 1
2.710 * [backup-simplify]: Simplify (* 2 1) into 2
2.710 * [backup-simplify]: Simplify (- 2) into -2
2.710 * [backup-simplify]: Simplify -2 into -2
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.712 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
2.712 * [backup-simplify]: Simplify (- 0) into 0
2.712 * [backup-simplify]: Simplify (+ 0 0) into 0
2.712 * [taylor]: Taking taylor expansion of 0 in y
2.712 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.713 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
2.713 * [backup-simplify]: Simplify (- 0) into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.715 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.715 * [backup-simplify]: Simplify (- 0) into 0
2.716 * [backup-simplify]: Simplify (+ 0 0) into 0
2.716 * [taylor]: Taking taylor expansion of 0 in y
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y))
2.716 * * * [progress]: simplifying candidates
2.716 * [simplify]: Simplifying:
  (* (exp (* x x)) (* (exp y) (exp 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))
  (+ (* x x) y)
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) (* 2 y))
2.717 * * [simplify]: iteration 0: 34 enodes
2.729 * * [simplify]: iteration 1: 109 enodes
2.775 * * [simplify]: iteration 2: 455 enodes
3.115 * * [simplify]: iteration 3: 2039 enodes
4.040 * * [simplify]: iteration complete: 5000 enodes
4.041 * * [simplify]: Extracting #0: cost 12 inf + 0
4.041 * * [simplify]: Extracting #1: cost 107 inf + 0
4.045 * * [simplify]: Extracting #2: cost 783 inf + 225
4.054 * * [simplify]: Extracting #3: cost 1287 inf + 17525
4.086 * * [simplify]: Extracting #4: cost 655 inf + 133553
4.164 * * [simplify]: Extracting #5: cost 121 inf + 240973
4.256 * * [simplify]: Extracting #6: cost 14 inf + 261259
4.317 * * [simplify]: Extracting #7: cost 0 inf + 265041
4.381 * [simplify]: Simplified to:
  (exp (+ (* x x) (+ y y)))
  (exp (+ (* x x) (+ y y)))
  (log (+ (* x x) (+ y y)))
  (exp (+ (* x x) (+ y y)))
  (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y))))
  (cbrt (+ (* x x) (+ y y)))
  (* (* (+ (* x x) (+ y y)) (+ (* x x) (+ y y))) (+ (* x x) (+ y y)))
  (sqrt (+ (* x x) (+ y y)))
  (sqrt (+ (* x x) (+ y y)))
  (+ (* (* (+ y y) (+ y y)) (+ y y)) (* (* x (* x x)) (* x (* x x))))
  (+ (* (+ y y) (- (+ y y) (* x x))) (* (* x x) (* x x)))
  (* (+ (* x x) (+ y y)) (- (* x x) (+ y y)))
  (- (* x x) (+ y y))
  (+ (* x x) y)
  (+ (* x x) (+ y y))
  (+ (* x x) (+ y y))
  (+ (* x x) (+ y y))
4.382 * * * [progress]: adding candidates to table
4.423 * * [progress]: iteration 3 / 4
4.423 * * * [progress]: picking best candidate
4.426 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))>
4.426 * * * [progress]: localizing error
4.444 * * * [progress]: generating rewritten candidates
4.444 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
4.506 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
4.542 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1)
4.554 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
4.568 * * * [progress]: generating series expansions
4.568 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
4.569 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) into (+ (pow x 2) y)
4.569 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
4.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
4.569 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.569 * [taylor]: Taking taylor expansion of x in y
4.569 * [backup-simplify]: Simplify x into x
4.569 * [taylor]: Taking taylor expansion of y in y
4.569 * [backup-simplify]: Simplify 0 into 0
4.569 * [backup-simplify]: Simplify 1 into 1
4.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
4.569 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.569 * [taylor]: Taking taylor expansion of x in x
4.569 * [backup-simplify]: Simplify 0 into 0
4.569 * [backup-simplify]: Simplify 1 into 1
4.569 * [taylor]: Taking taylor expansion of y in x
4.569 * [backup-simplify]: Simplify y into y
4.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
4.569 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.569 * [taylor]: Taking taylor expansion of x in x
4.569 * [backup-simplify]: Simplify 0 into 0
4.569 * [backup-simplify]: Simplify 1 into 1
4.569 * [taylor]: Taking taylor expansion of y in x
4.569 * [backup-simplify]: Simplify y into y
4.569 * [backup-simplify]: Simplify (+ 0 y) into y
4.569 * [taylor]: Taking taylor expansion of y in y
4.569 * [backup-simplify]: Simplify 0 into 0
4.569 * [backup-simplify]: Simplify 1 into 1
4.570 * [backup-simplify]: Simplify 0 into 0
4.570 * [backup-simplify]: Simplify (+ 0 0) into 0
4.570 * [taylor]: Taking taylor expansion of 0 in y
4.570 * [backup-simplify]: Simplify 0 into 0
4.570 * [backup-simplify]: Simplify 0 into 0
4.570 * [backup-simplify]: Simplify 1 into 1
4.571 * [backup-simplify]: Simplify (* 1 1) into 1
4.571 * [backup-simplify]: Simplify (+ 1 0) into 1
4.571 * [taylor]: Taking taylor expansion of 1 in y
4.571 * [backup-simplify]: Simplify 1 into 1
4.571 * [backup-simplify]: Simplify 1 into 1
4.571 * [backup-simplify]: Simplify 0 into 0
4.571 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.572 * [backup-simplify]: Simplify (+ 0 0) into 0
4.572 * [taylor]: Taking taylor expansion of 0 in y
4.572 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
4.573 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (/ 1 y))
4.573 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
4.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
4.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.573 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.573 * [taylor]: Taking taylor expansion of x in y
4.573 * [backup-simplify]: Simplify x into x
4.573 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.573 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.574 * [taylor]: Taking taylor expansion of y in y
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 1 into 1
4.574 * [backup-simplify]: Simplify (/ 1 1) into 1
4.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
4.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.574 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.574 * [taylor]: Taking taylor expansion of x in x
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 1 into 1
4.574 * [backup-simplify]: Simplify (* 1 1) into 1
4.575 * [backup-simplify]: Simplify (/ 1 1) into 1
4.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.575 * [taylor]: Taking taylor expansion of y in x
4.575 * [backup-simplify]: Simplify y into y
4.575 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
4.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.575 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.575 * [taylor]: Taking taylor expansion of x in x
4.575 * [backup-simplify]: Simplify 0 into 0
4.575 * [backup-simplify]: Simplify 1 into 1
4.575 * [backup-simplify]: Simplify (* 1 1) into 1
4.575 * [backup-simplify]: Simplify (/ 1 1) into 1
4.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.575 * [taylor]: Taking taylor expansion of y in x
4.575 * [backup-simplify]: Simplify y into y
4.575 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.576 * [backup-simplify]: Simplify (+ 1 0) into 1
4.576 * [taylor]: Taking taylor expansion of 1 in y
4.576 * [backup-simplify]: Simplify 1 into 1
4.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.577 * [backup-simplify]: Simplify (+ 0 0) into 0
4.577 * [taylor]: Taking taylor expansion of 0 in y
4.577 * [backup-simplify]: Simplify 0 into 0
4.577 * [backup-simplify]: Simplify 1 into 1
4.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.578 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
4.578 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.578 * [taylor]: Taking taylor expansion of y in y
4.578 * [backup-simplify]: Simplify 0 into 0
4.578 * [backup-simplify]: Simplify 1 into 1
4.578 * [backup-simplify]: Simplify (/ 1 1) into 1
4.579 * [backup-simplify]: Simplify 1 into 1
4.579 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.580 * [backup-simplify]: Simplify (+ 0 0) into 0
4.580 * [taylor]: Taking taylor expansion of 0 in y
4.580 * [backup-simplify]: Simplify 0 into 0
4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.582 * [backup-simplify]: Simplify (+ 0 0) into 0
4.582 * [taylor]: Taking taylor expansion of 0 in y
4.582 * [backup-simplify]: Simplify 0 into 0
4.582 * [backup-simplify]: Simplify 0 into 0
4.582 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
4.583 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (- (/ 1 (pow x 2)) (/ 1 y))
4.583 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
4.583 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
4.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.583 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.583 * [taylor]: Taking taylor expansion of x in y
4.583 * [backup-simplify]: Simplify x into x
4.583 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.583 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.583 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.583 * [taylor]: Taking taylor expansion of y in y
4.583 * [backup-simplify]: Simplify 0 into 0
4.583 * [backup-simplify]: Simplify 1 into 1
4.583 * [backup-simplify]: Simplify (/ 1 1) into 1
4.583 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
4.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.583 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.583 * [taylor]: Taking taylor expansion of x in x
4.583 * [backup-simplify]: Simplify 0 into 0
4.583 * [backup-simplify]: Simplify 1 into 1
4.584 * [backup-simplify]: Simplify (* 1 1) into 1
4.584 * [backup-simplify]: Simplify (/ 1 1) into 1
4.584 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.584 * [taylor]: Taking taylor expansion of y in x
4.584 * [backup-simplify]: Simplify y into y
4.584 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.584 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
4.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.584 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.584 * [taylor]: Taking taylor expansion of x in x
4.584 * [backup-simplify]: Simplify 0 into 0
4.584 * [backup-simplify]: Simplify 1 into 1
4.585 * [backup-simplify]: Simplify (* 1 1) into 1
4.585 * [backup-simplify]: Simplify (/ 1 1) into 1
4.585 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.585 * [taylor]: Taking taylor expansion of y in x
4.585 * [backup-simplify]: Simplify y into y
4.585 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.586 * [backup-simplify]: Simplify (+ 1 0) into 1
4.586 * [taylor]: Taking taylor expansion of 1 in y
4.586 * [backup-simplify]: Simplify 1 into 1
4.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.587 * [backup-simplify]: Simplify (+ 0 0) into 0
4.587 * [taylor]: Taking taylor expansion of 0 in y
4.587 * [backup-simplify]: Simplify 0 into 0
4.587 * [backup-simplify]: Simplify 1 into 1
4.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.589 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
4.589 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
4.589 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
4.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.589 * [taylor]: Taking taylor expansion of y in y
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 1 into 1
4.590 * [backup-simplify]: Simplify (/ 1 1) into 1
4.590 * [backup-simplify]: Simplify (- 1) into -1
4.590 * [backup-simplify]: Simplify -1 into -1
4.590 * [backup-simplify]: Simplify 0 into 0
4.590 * [backup-simplify]: Simplify 0 into 0
4.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.593 * [backup-simplify]: Simplify (- 0) into 0
4.593 * [backup-simplify]: Simplify (+ 0 0) into 0
4.593 * [taylor]: Taking taylor expansion of 0 in y
4.593 * [backup-simplify]: Simplify 0 into 0
4.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.594 * [backup-simplify]: Simplify (- 0) into 0
4.594 * [backup-simplify]: Simplify 0 into 0
4.594 * [backup-simplify]: Simplify 0 into 0
4.594 * [backup-simplify]: Simplify 0 into 0
4.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.597 * [backup-simplify]: Simplify (- 0) into 0
4.597 * [backup-simplify]: Simplify (+ 0 0) into 0
4.597 * [taylor]: Taking taylor expansion of 0 in y
4.597 * [backup-simplify]: Simplify 0 into 0
4.597 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
4.598 * * * * [progress]: [ 2 / 4 ] generating series at (2)
4.598 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y) into (+ (pow x 2) (* 2 y))
4.598 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0
4.598 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y
4.598 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.598 * [taylor]: Taking taylor expansion of x in y
4.598 * [backup-simplify]: Simplify x into x
4.598 * [taylor]: Taking taylor expansion of (* 2 y) in y
4.598 * [taylor]: Taking taylor expansion of 2 in y
4.598 * [backup-simplify]: Simplify 2 into 2
4.598 * [taylor]: Taking taylor expansion of y in y
4.598 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify 1 into 1
4.598 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x
4.598 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.598 * [taylor]: Taking taylor expansion of x in x
4.598 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify 1 into 1
4.598 * [taylor]: Taking taylor expansion of (* 2 y) in x
4.598 * [taylor]: Taking taylor expansion of 2 in x
4.598 * [backup-simplify]: Simplify 2 into 2
4.598 * [taylor]: Taking taylor expansion of y in x
4.599 * [backup-simplify]: Simplify y into y
4.599 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x
4.599 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.599 * [taylor]: Taking taylor expansion of x in x
4.599 * [backup-simplify]: Simplify 0 into 0
4.599 * [backup-simplify]: Simplify 1 into 1
4.599 * [taylor]: Taking taylor expansion of (* 2 y) in x
4.599 * [taylor]: Taking taylor expansion of 2 in x
4.599 * [backup-simplify]: Simplify 2 into 2
4.599 * [taylor]: Taking taylor expansion of y in x
4.599 * [backup-simplify]: Simplify y into y
4.599 * [backup-simplify]: Simplify (* 2 y) into (* 2 y)
4.599 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
4.599 * [taylor]: Taking taylor expansion of (* 2 y) in y
4.599 * [taylor]: Taking taylor expansion of 2 in y
4.599 * [backup-simplify]: Simplify 2 into 2
4.599 * [taylor]: Taking taylor expansion of y in y
4.599 * [backup-simplify]: Simplify 0 into 0
4.599 * [backup-simplify]: Simplify 1 into 1
4.600 * [backup-simplify]: Simplify (* 2 0) into 0
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0
4.600 * [backup-simplify]: Simplify (+ 0 0) into 0
4.600 * [taylor]: Taking taylor expansion of 0 in y
4.600 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
4.601 * [backup-simplify]: Simplify 2 into 2
4.602 * [backup-simplify]: Simplify (* 1 1) into 1
4.602 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0
4.603 * [backup-simplify]: Simplify (+ 1 0) into 1
4.603 * [taylor]: Taking taylor expansion of 1 in y
4.603 * [backup-simplify]: Simplify 1 into 1
4.603 * [backup-simplify]: Simplify 1 into 1
4.603 * [backup-simplify]: Simplify 0 into 0
4.604 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
4.604 * [backup-simplify]: Simplify 0 into 0
4.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.606 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.606 * [backup-simplify]: Simplify (+ 0 0) into 0
4.606 * [taylor]: Taking taylor expansion of 0 in y
4.606 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y))
4.608 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))
4.608 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0
4.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y
4.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.609 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.609 * [taylor]: Taking taylor expansion of x in y
4.609 * [backup-simplify]: Simplify x into x
4.609 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.609 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
4.609 * [taylor]: Taking taylor expansion of 2 in y
4.609 * [backup-simplify]: Simplify 2 into 2
4.609 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.609 * [taylor]: Taking taylor expansion of y in y
4.609 * [backup-simplify]: Simplify 0 into 0
4.609 * [backup-simplify]: Simplify 1 into 1
4.609 * [backup-simplify]: Simplify (/ 1 1) into 1
4.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
4.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.609 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.609 * [taylor]: Taking taylor expansion of x in x
4.609 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 1 into 1
4.610 * [backup-simplify]: Simplify (* 1 1) into 1
4.610 * [backup-simplify]: Simplify (/ 1 1) into 1
4.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
4.610 * [taylor]: Taking taylor expansion of 2 in x
4.610 * [backup-simplify]: Simplify 2 into 2
4.610 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.610 * [taylor]: Taking taylor expansion of y in x
4.610 * [backup-simplify]: Simplify y into y
4.610 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
4.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.611 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.611 * [taylor]: Taking taylor expansion of x in x
4.611 * [backup-simplify]: Simplify 0 into 0
4.611 * [backup-simplify]: Simplify 1 into 1
4.611 * [backup-simplify]: Simplify (* 1 1) into 1
4.611 * [backup-simplify]: Simplify (/ 1 1) into 1
4.611 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
4.611 * [taylor]: Taking taylor expansion of 2 in x
4.611 * [backup-simplify]: Simplify 2 into 2
4.611 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.611 * [taylor]: Taking taylor expansion of y in x
4.611 * [backup-simplify]: Simplify y into y
4.612 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.612 * [backup-simplify]: Simplify (+ 1 0) into 1
4.612 * [taylor]: Taking taylor expansion of 1 in y
4.612 * [backup-simplify]: Simplify 1 into 1
4.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.614 * [backup-simplify]: Simplify (+ 0 0) into 0
4.614 * [taylor]: Taking taylor expansion of 0 in y
4.614 * [backup-simplify]: Simplify 0 into 0
4.614 * [backup-simplify]: Simplify 1 into 1
4.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.616 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
4.616 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
4.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
4.616 * [taylor]: Taking taylor expansion of 2 in y
4.616 * [backup-simplify]: Simplify 2 into 2
4.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.616 * [taylor]: Taking taylor expansion of y in y
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 1 into 1
4.616 * [backup-simplify]: Simplify (/ 1 1) into 1
4.617 * [backup-simplify]: Simplify (* 2 1) into 2
4.617 * [backup-simplify]: Simplify 2 into 2
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.619 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
4.620 * [backup-simplify]: Simplify (+ 0 0) into 0
4.620 * [taylor]: Taking taylor expansion of 0 in y
4.620 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.621 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.624 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.624 * [backup-simplify]: Simplify (+ 0 0) into 0
4.624 * [taylor]: Taking taylor expansion of 0 in y
4.624 * [backup-simplify]: Simplify 0 into 0
4.624 * [backup-simplify]: Simplify 0 into 0
4.624 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y))
4.624 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))
4.624 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0
4.625 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y
4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.625 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.625 * [taylor]: Taking taylor expansion of x in y
4.625 * [backup-simplify]: Simplify x into x
4.625 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.625 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.625 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
4.625 * [taylor]: Taking taylor expansion of 2 in y
4.625 * [backup-simplify]: Simplify 2 into 2
4.625 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.625 * [taylor]: Taking taylor expansion of y in y
4.625 * [backup-simplify]: Simplify 0 into 0
4.625 * [backup-simplify]: Simplify 1 into 1
4.625 * [backup-simplify]: Simplify (/ 1 1) into 1
4.625 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.625 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.625 * [taylor]: Taking taylor expansion of x in x
4.625 * [backup-simplify]: Simplify 0 into 0
4.625 * [backup-simplify]: Simplify 1 into 1
4.625 * [backup-simplify]: Simplify (* 1 1) into 1
4.626 * [backup-simplify]: Simplify (/ 1 1) into 1
4.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
4.626 * [taylor]: Taking taylor expansion of 2 in x
4.626 * [backup-simplify]: Simplify 2 into 2
4.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.626 * [taylor]: Taking taylor expansion of y in x
4.626 * [backup-simplify]: Simplify y into y
4.626 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.626 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x
4.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.626 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.626 * [taylor]: Taking taylor expansion of x in x
4.626 * [backup-simplify]: Simplify 0 into 0
4.626 * [backup-simplify]: Simplify 1 into 1
4.626 * [backup-simplify]: Simplify (* 1 1) into 1
4.626 * [backup-simplify]: Simplify (/ 1 1) into 1
4.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x
4.626 * [taylor]: Taking taylor expansion of 2 in x
4.626 * [backup-simplify]: Simplify 2 into 2
4.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.626 * [taylor]: Taking taylor expansion of y in x
4.626 * [backup-simplify]: Simplify y into y
4.627 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.627 * [backup-simplify]: Simplify (+ 1 0) into 1
4.627 * [taylor]: Taking taylor expansion of 1 in y
4.627 * [backup-simplify]: Simplify 1 into 1
4.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.628 * [backup-simplify]: Simplify (+ 0 0) into 0
4.628 * [taylor]: Taking taylor expansion of 0 in y
4.628 * [backup-simplify]: Simplify 0 into 0
4.628 * [backup-simplify]: Simplify 1 into 1
4.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.629 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
4.629 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y)))
4.630 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y)))
4.630 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y
4.630 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
4.630 * [taylor]: Taking taylor expansion of 2 in y
4.630 * [backup-simplify]: Simplify 2 into 2
4.630 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.630 * [taylor]: Taking taylor expansion of y in y
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 1 into 1
4.630 * [backup-simplify]: Simplify (/ 1 1) into 1
4.630 * [backup-simplify]: Simplify (* 2 1) into 2
4.630 * [backup-simplify]: Simplify (- 2) into -2
4.630 * [backup-simplify]: Simplify -2 into -2
4.630 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.632 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
4.632 * [backup-simplify]: Simplify (- 0) into 0
4.633 * [backup-simplify]: Simplify (+ 0 0) into 0
4.633 * [taylor]: Taking taylor expansion of 0 in y
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.633 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.634 * [backup-simplify]: Simplify (- 0) into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.636 * [backup-simplify]: Simplify (- 0) into 0
4.636 * [backup-simplify]: Simplify (+ 0 0) into 0
4.636 * [taylor]: Taking taylor expansion of 0 in y
4.636 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y))
4.636 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1)
4.637 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
4.637 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
4.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
4.637 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.637 * [taylor]: Taking taylor expansion of x in y
4.637 * [backup-simplify]: Simplify x into x
4.637 * [taylor]: Taking taylor expansion of y in y
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 1 into 1
4.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
4.637 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.637 * [taylor]: Taking taylor expansion of x in x
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 1 into 1
4.637 * [taylor]: Taking taylor expansion of y in x
4.637 * [backup-simplify]: Simplify y into y
4.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
4.637 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.637 * [taylor]: Taking taylor expansion of x in x
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 1 into 1
4.637 * [taylor]: Taking taylor expansion of y in x
4.637 * [backup-simplify]: Simplify y into y
4.637 * [backup-simplify]: Simplify (+ 0 y) into y
4.637 * [taylor]: Taking taylor expansion of y in y
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 1 into 1
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify (+ 0 0) into 0
4.637 * [taylor]: Taking taylor expansion of 0 in y
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 1 into 1
4.638 * [backup-simplify]: Simplify (* 1 1) into 1
4.638 * [backup-simplify]: Simplify (+ 1 0) into 1
4.638 * [taylor]: Taking taylor expansion of 1 in y
4.638 * [backup-simplify]: Simplify 1 into 1
4.638 * [backup-simplify]: Simplify 1 into 1
4.638 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.639 * [backup-simplify]: Simplify (+ 0 0) into 0
4.639 * [taylor]: Taking taylor expansion of 0 in y
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
4.639 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
4.639 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
4.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
4.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.639 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.639 * [taylor]: Taking taylor expansion of x in y
4.639 * [backup-simplify]: Simplify x into x
4.639 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.639 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.639 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.639 * [taylor]: Taking taylor expansion of y in y
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 1 into 1
4.640 * [backup-simplify]: Simplify (/ 1 1) into 1
4.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
4.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.640 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.640 * [taylor]: Taking taylor expansion of x in x
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify 1 into 1
4.640 * [backup-simplify]: Simplify (* 1 1) into 1
4.640 * [backup-simplify]: Simplify (/ 1 1) into 1
4.640 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.640 * [taylor]: Taking taylor expansion of y in x
4.640 * [backup-simplify]: Simplify y into y
4.640 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
4.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.640 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.640 * [taylor]: Taking taylor expansion of x in x
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify 1 into 1
4.641 * [backup-simplify]: Simplify (* 1 1) into 1
4.641 * [backup-simplify]: Simplify (/ 1 1) into 1
4.641 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.641 * [taylor]: Taking taylor expansion of y in x
4.641 * [backup-simplify]: Simplify y into y
4.641 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.641 * [backup-simplify]: Simplify (+ 1 0) into 1
4.641 * [taylor]: Taking taylor expansion of 1 in y
4.641 * [backup-simplify]: Simplify 1 into 1
4.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.642 * [backup-simplify]: Simplify (+ 0 0) into 0
4.643 * [taylor]: Taking taylor expansion of 0 in y
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 1 into 1
4.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.644 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
4.644 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.644 * [taylor]: Taking taylor expansion of y in y
4.644 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify 1 into 1
4.644 * [backup-simplify]: Simplify (/ 1 1) into 1
4.644 * [backup-simplify]: Simplify 1 into 1
4.644 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.645 * [backup-simplify]: Simplify (+ 0 0) into 0
4.645 * [taylor]: Taking taylor expansion of 0 in y
4.646 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.646 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify 0 into 0
4.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.648 * [backup-simplify]: Simplify (+ 0 0) into 0
4.648 * [taylor]: Taking taylor expansion of 0 in y
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
4.648 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
4.648 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
4.648 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
4.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.648 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.648 * [taylor]: Taking taylor expansion of x in y
4.648 * [backup-simplify]: Simplify x into x
4.648 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.648 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.648 * [taylor]: Taking taylor expansion of y in y
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 1 into 1
4.649 * [backup-simplify]: Simplify (/ 1 1) into 1
4.649 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
4.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.649 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.649 * [taylor]: Taking taylor expansion of x in x
4.649 * [backup-simplify]: Simplify 0 into 0
4.649 * [backup-simplify]: Simplify 1 into 1
4.649 * [backup-simplify]: Simplify (* 1 1) into 1
4.649 * [backup-simplify]: Simplify (/ 1 1) into 1
4.649 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.649 * [taylor]: Taking taylor expansion of y in x
4.649 * [backup-simplify]: Simplify y into y
4.649 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.649 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
4.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.649 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.649 * [taylor]: Taking taylor expansion of x in x
4.649 * [backup-simplify]: Simplify 0 into 0
4.649 * [backup-simplify]: Simplify 1 into 1
4.650 * [backup-simplify]: Simplify (* 1 1) into 1
4.650 * [backup-simplify]: Simplify (/ 1 1) into 1
4.650 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.650 * [taylor]: Taking taylor expansion of y in x
4.650 * [backup-simplify]: Simplify y into y
4.650 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.650 * [backup-simplify]: Simplify (+ 1 0) into 1
4.650 * [taylor]: Taking taylor expansion of 1 in y
4.650 * [backup-simplify]: Simplify 1 into 1
4.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.651 * [backup-simplify]: Simplify (+ 0 0) into 0
4.652 * [taylor]: Taking taylor expansion of 0 in y
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 1 into 1
4.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.653 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
4.653 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
4.653 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
4.653 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.653 * [taylor]: Taking taylor expansion of y in y
4.653 * [backup-simplify]: Simplify 0 into 0
4.653 * [backup-simplify]: Simplify 1 into 1
4.653 * [backup-simplify]: Simplify (/ 1 1) into 1
4.653 * [backup-simplify]: Simplify (- 1) into -1
4.653 * [backup-simplify]: Simplify -1 into -1
4.653 * [backup-simplify]: Simplify 0 into 0
4.653 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.655 * [backup-simplify]: Simplify (- 0) into 0
4.655 * [backup-simplify]: Simplify (+ 0 0) into 0
4.656 * [taylor]: Taking taylor expansion of 0 in y
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.656 * [backup-simplify]: Simplify (- 0) into 0
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 0 into 0
4.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.658 * [backup-simplify]: Simplify (- 0) into 0
4.658 * [backup-simplify]: Simplify (+ 0 0) into 0
4.658 * [taylor]: Taking taylor expansion of 0 in y
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
4.659 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
4.659 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
4.659 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
4.659 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
4.659 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.659 * [taylor]: Taking taylor expansion of x in y
4.659 * [backup-simplify]: Simplify x into x
4.659 * [taylor]: Taking taylor expansion of y in y
4.659 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify 1 into 1
4.659 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
4.659 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.659 * [taylor]: Taking taylor expansion of x in x
4.659 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify 1 into 1
4.659 * [taylor]: Taking taylor expansion of y in x
4.659 * [backup-simplify]: Simplify y into y
4.659 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
4.659 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.659 * [taylor]: Taking taylor expansion of x in x
4.659 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify 1 into 1
4.659 * [taylor]: Taking taylor expansion of y in x
4.659 * [backup-simplify]: Simplify y into y
4.659 * [backup-simplify]: Simplify (+ 0 y) into y
4.659 * [taylor]: Taking taylor expansion of y in y
4.659 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify 1 into 1
4.659 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify (+ 0 0) into 0
4.659 * [taylor]: Taking taylor expansion of 0 in y
4.659 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 1 into 1
4.660 * [backup-simplify]: Simplify (* 1 1) into 1
4.660 * [backup-simplify]: Simplify (+ 1 0) into 1
4.660 * [taylor]: Taking taylor expansion of 1 in y
4.660 * [backup-simplify]: Simplify 1 into 1
4.660 * [backup-simplify]: Simplify 1 into 1
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.661 * [backup-simplify]: Simplify (+ 0 0) into 0
4.661 * [taylor]: Taking taylor expansion of 0 in y
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
4.661 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
4.661 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
4.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
4.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.661 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.661 * [taylor]: Taking taylor expansion of x in y
4.661 * [backup-simplify]: Simplify x into x
4.661 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.661 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.661 * [taylor]: Taking taylor expansion of y in y
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 1 into 1
4.662 * [backup-simplify]: Simplify (/ 1 1) into 1
4.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
4.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.662 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.662 * [taylor]: Taking taylor expansion of x in x
4.662 * [backup-simplify]: Simplify 0 into 0
4.662 * [backup-simplify]: Simplify 1 into 1
4.662 * [backup-simplify]: Simplify (* 1 1) into 1
4.662 * [backup-simplify]: Simplify (/ 1 1) into 1
4.662 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.662 * [taylor]: Taking taylor expansion of y in x
4.662 * [backup-simplify]: Simplify y into y
4.662 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
4.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.662 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.662 * [taylor]: Taking taylor expansion of x in x
4.662 * [backup-simplify]: Simplify 0 into 0
4.663 * [backup-simplify]: Simplify 1 into 1
4.663 * [backup-simplify]: Simplify (* 1 1) into 1
4.663 * [backup-simplify]: Simplify (/ 1 1) into 1
4.663 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.663 * [taylor]: Taking taylor expansion of y in x
4.663 * [backup-simplify]: Simplify y into y
4.663 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.663 * [backup-simplify]: Simplify (+ 1 0) into 1
4.663 * [taylor]: Taking taylor expansion of 1 in y
4.663 * [backup-simplify]: Simplify 1 into 1
4.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.666 * [backup-simplify]: Simplify (+ 0 0) into 0
4.666 * [taylor]: Taking taylor expansion of 0 in y
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 1 into 1
4.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.667 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
4.667 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.667 * [taylor]: Taking taylor expansion of y in y
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 1 into 1
4.668 * [backup-simplify]: Simplify (/ 1 1) into 1
4.668 * [backup-simplify]: Simplify 1 into 1
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.669 * [backup-simplify]: Simplify (+ 0 0) into 0
4.669 * [taylor]: Taking taylor expansion of 0 in y
4.669 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.671 * [backup-simplify]: Simplify (+ 0 0) into 0
4.671 * [taylor]: Taking taylor expansion of 0 in y
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
4.672 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
4.672 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
4.672 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
4.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.672 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.672 * [taylor]: Taking taylor expansion of x in y
4.672 * [backup-simplify]: Simplify x into x
4.672 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.672 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.672 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.672 * [taylor]: Taking taylor expansion of y in y
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 1 into 1
4.672 * [backup-simplify]: Simplify (/ 1 1) into 1
4.672 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
4.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.672 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.672 * [taylor]: Taking taylor expansion of x in x
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 1 into 1
4.672 * [backup-simplify]: Simplify (* 1 1) into 1
4.673 * [backup-simplify]: Simplify (/ 1 1) into 1
4.673 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.673 * [taylor]: Taking taylor expansion of y in x
4.673 * [backup-simplify]: Simplify y into y
4.673 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.673 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
4.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.673 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.673 * [taylor]: Taking taylor expansion of x in x
4.673 * [backup-simplify]: Simplify 0 into 0
4.673 * [backup-simplify]: Simplify 1 into 1
4.673 * [backup-simplify]: Simplify (* 1 1) into 1
4.673 * [backup-simplify]: Simplify (/ 1 1) into 1
4.673 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.673 * [taylor]: Taking taylor expansion of y in x
4.673 * [backup-simplify]: Simplify y into y
4.673 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.674 * [backup-simplify]: Simplify (+ 1 0) into 1
4.674 * [taylor]: Taking taylor expansion of 1 in y
4.674 * [backup-simplify]: Simplify 1 into 1
4.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (+ 0 0) into 0
4.675 * [taylor]: Taking taylor expansion of 0 in y
4.675 * [backup-simplify]: Simplify 0 into 0
4.675 * [backup-simplify]: Simplify 1 into 1
4.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.677 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
4.677 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
4.677 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
4.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.677 * [taylor]: Taking taylor expansion of y in y
4.677 * [backup-simplify]: Simplify 0 into 0
4.677 * [backup-simplify]: Simplify 1 into 1
4.678 * [backup-simplify]: Simplify (/ 1 1) into 1
4.678 * [backup-simplify]: Simplify (- 1) into -1
4.678 * [backup-simplify]: Simplify -1 into -1
4.678 * [backup-simplify]: Simplify 0 into 0
4.678 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.681 * [backup-simplify]: Simplify (- 0) into 0
4.681 * [backup-simplify]: Simplify (+ 0 0) into 0
4.681 * [taylor]: Taking taylor expansion of 0 in y
4.681 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.682 * [backup-simplify]: Simplify (- 0) into 0
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 0 into 0
4.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.685 * [backup-simplify]: Simplify (- 0) into 0
4.685 * [backup-simplify]: Simplify (+ 0 0) into 0
4.685 * [taylor]: Taking taylor expansion of 0 in y
4.685 * [backup-simplify]: Simplify 0 into 0
4.685 * [backup-simplify]: Simplify 0 into 0
4.686 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
4.686 * * * [progress]: simplifying candidates
4.688 * [simplify]: Simplifying:
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (* x x) y) (+ (* x x) y))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (* (+ (* x x) y) (+ (* x x) y))
  (+ 1 1)
  (+ (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))))
  (log (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))
  (exp (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))
  (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))))
  (* (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))))
  (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))
  (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))
  (* (+ (* x x) y) (+ (* x x) y))
  (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))
  (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))
  (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (pow (* x x) 3) (pow y 3))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y)))
  (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (pow (* x x) 3) (pow y 3))))
  (* (sqrt (- (* x x) y)) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))
  (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y))))
  (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))
  (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (* (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))
  (* (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* 1 1)
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ (* x x) y)) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (* (sqrt (+ (* x x) y)) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))
  (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (+ (* x x) y)) (sqrt 1))
  (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (+ (* x x) y)) 1)
  (* (cbrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (* (sqrt (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))))
  (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y))))
  (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* x x) y)))
  (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (* x x) y)))
  (* (exp (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (exp y))
  (log (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))
  (exp (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))
  (* (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)))
  (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))
  (* (* (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))
  (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))
  (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))
  (+ (pow (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) 3) (pow y 3))
  (+ (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (- (* y y) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)))
  (- (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* y y))
  (- (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)
  (* (exp (* x x)) (exp y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))
  (- (* (* x x) (* x x)) (* y y))
  (- (* x x) y)
  (* (exp (* x x)) (exp y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))
  (- (* (* x x) (* x x)) (* y y))
  (- (* x x) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) (* 2 y))
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
4.691 * * [simplify]: iteration 0: 105 enodes
4.735 * * [simplify]: iteration 1: 258 enodes
4.827 * * [simplify]: iteration 2: 699 enodes
5.223 * * [simplify]: iteration 3: 2634 enodes
6.118 * * [simplify]: iteration complete: 5025 enodes
6.119 * * [simplify]: Extracting #0: cost 35 inf + 0
6.120 * * [simplify]: Extracting #1: cost 359 inf + 2
6.123 * * [simplify]: Extracting #2: cost 1221 inf + 151
6.140 * * [simplify]: Extracting #3: cost 1768 inf + 21598
6.163 * * [simplify]: Extracting #4: cost 874 inf + 168731
6.221 * * [simplify]: Extracting #5: cost 153 inf + 332516
6.308 * * [simplify]: Extracting #6: cost 26 inf + 366242
6.388 * * [simplify]: Extracting #7: cost 4 inf + 370990
6.482 * * [simplify]: Extracting #8: cost 0 inf + 372002
6.576 * [simplify]: Simplified to:
  1
  1
  2
  1
  1
  (* (+ y (* x x)) (+ y (* x x)))
  (+ y (* x x))
  (* (+ y (* x x)) (+ y (* x x)))
  2
  (log (+ y (* x x)))
  (log (+ y (* x x)))
  (exp (+ (* x x) y))
  (* (+ y (* x x)) (* (+ y (* x x)) (+ y (* x x))))
  (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))
  (cbrt (+ y (* x x)))
  (* (+ y (* x x)) (* (+ y (* x x)) (+ y (* x x))))
  (* (+ y (* x x)) (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x)))
  (+ (* (* x x) (* x x)) (* y (- y (* x x))))
  (* (sqrt (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (* (- (* x x) y) (+ (* x x) y))))
  (* (sqrt (+ (* (* x x) (* x x)) (* y (- y (* x x))))) (sqrt (- (* x x) y)))
  (* (sqrt (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (* (- (* x x) y) (+ (* x x) y))))
  (* (sqrt (+ (* (* x x) (* x x)) (* y (- y (* x x))))) (sqrt (- (* x x) y)))
  (* (- (* x x) y) (+ (* x x) y))
  (- (* x x) y)
  (* (sqrt (+ y (* x x))) (cbrt (sqrt (+ y (* x x)))))
  (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))))
  (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))
  (cbrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  1
  (+ y (* x x))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  1
  (+ y (* x x))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  1
  2
  1
  (* (sqrt (+ y (* x x))) (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x))))))
  (* (sqrt (+ y (* x x))) (fabs (cbrt (+ y (* x x)))))
  (* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x)))))
  (sqrt (+ y (* x x)))
  (* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x)))))
  (sqrt (+ y (* x x)))
  (* (sqrt (+ y (* x x))) (cbrt (sqrt (+ y (* x x)))))
  (* (sqrt (+ y (* x x))) (sqrt (cbrt (+ y (* x x)))))
  (* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x)))))
  (+ y (* x x))
  (* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x)))))
  (+ y (* x x))
  (* (sqrt (+ y (* x x))) (sqrt (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x)))))
  (* (sqrt (* (- (* x x) y) (+ (* x x) y))) (sqrt (+ y (* x x))))
  (* (sqrt (+ y (* x x))) (sqrt (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x)))))
  (* (sqrt (* (- (* x x) y) (+ (* x x) y))) (sqrt (+ y (* x x))))
  (exp (+ y (+ (* x x) y)))
  (log (+ (+ y (* x x)) y))
  (exp (+ y (+ (* x x) y)))
  (* (cbrt (+ (+ y (* x x)) y)) (cbrt (+ (+ y (* x x)) y)))
  (cbrt (+ (+ y (* x x)) y))
  (* (* (+ (+ y (* x x)) y) (+ (+ y (* x x)) y)) (+ (+ y (* x x)) y))
  (sqrt (+ (+ y (* x x)) y))
  (sqrt (+ (+ y (* x x)) y))
  (+ (* y (* y y)) (* (+ y (* x x)) (* (+ y (* x x)) (+ y (* x x)))))
  (+ (* y y) (* (+ y (* x x)) (* x x)))
  (* (* x x) (+ (+ y (* x x)) y))
  (* x x)
  (exp (+ (* x x) y))
  (log (+ y (* x x)))
  (exp (+ (* x x) y))
  (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))
  (cbrt (+ y (* x x)))
  (* (+ y (* x x)) (* (+ y (* x x)) (+ y (* x x))))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x)))
  (+ (* (* x x) (* x x)) (* y (- y (* x x))))
  (* (- (* x x) y) (+ (* x x) y))
  (- (* x x) y)
  (exp (+ (* x x) y))
  (log (+ y (* x x)))
  (exp (+ (* x x) y))
  (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))
  (cbrt (+ y (* x x)))
  (* (+ y (* x x)) (* (+ y (* x x)) (+ y (* x x))))
  (sqrt (+ y (* x x)))
  (sqrt (+ y (* x x)))
  (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x)))
  (+ (* (* x x) (* x x)) (* y (- y (* x x))))
  (* (- (* x x) y) (+ (* x x) y))
  (- (* x x) y)
  (+ y (* x x))
  (+ y (* x x))
  (+ y (* x x))
  (+ (* x x) (* y 2))
  (+ (* x x) (* y 2))
  (+ (* x x) (* y 2))
  (+ y (* x x))
  (+ y (* x x))
  (+ y (* x x))
  (+ y (* x x))
  (+ y (* x x))
  (+ y (* x x))
6.584 * * * [progress]: adding candidates to table
6.956 * [progress]: [Phase 3 of 3] Extracting.
6.956 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (* x x) (+ y y)))> #<alt (λ (x y) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))>)
6.956 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x)
6.956 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ (* x x) (+ y y)))> #<alt (λ (x y) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))>)
6.987 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ (* x x) (+ y y)))> #<alt (λ (x y) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))>)
7.013 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ (* x x) (+ y y)))> #<alt (λ (x y) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))>)
7.039 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
7.039 * [simplify]: Simplifying:
  (+ (* x x) (+ y y))
7.039 * * [simplify]: iteration 0: 5 enodes
7.040 * * [simplify]: iteration 1: 6 enodes
7.040 * * [simplify]: iteration complete: 6 enodes
7.040 * * [simplify]: Extracting #0: cost 1 inf + 0
7.040 * * [simplify]: Extracting #1: cost 3 inf + 0
7.040 * * [simplify]: Extracting #2: cost 5 inf + 0
7.040 * * [simplify]: Extracting #3: cost 2 inf + 43
7.040 * * [simplify]: Extracting #4: cost 0 inf + 206
7.040 * [simplify]: Simplified to:
  (+ (* x x) (+ y y))
8.120 * [regime-testing]: Baseline error score: 0.004875609451181397
8.133 * [regime-testing]: Oracle error score: 0.003375421927740968
8.159 * [regime-testing]: End program error score: 0.004875609451181397
8.260 * [regime-testing]: Target error score: 0.004875609451181397