50.514 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.040 * * * [progress]: [2/2] Setting up program.
0.046 * [progress]: [Phase 2 of 3] Improving.
0.046 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.046 * * [simplify]: iteration 0: 5 enodes
0.048 * * [simplify]: iteration 1: 6 enodes
0.050 * * [simplify]: iteration complete: 6 enodes
0.051 * * [simplify]: Extracting #0: cost 1 inf + 0
0.051 * * [simplify]: Extracting #1: cost 3 inf + 0
0.051 * * [simplify]: Extracting #2: cost 5 inf + 0
0.051 * * [simplify]: Extracting #3: cost 2 inf + 43
0.051 * * [simplify]: Extracting #4: cost 0 inf + 206
0.051 * [simplify]: Simplified to:
  (+ (* y y) (* x x))
0.052 * * [progress]: iteration 1 / 4
0.052 * * * [progress]: picking best candidate
0.058 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.058 * * * [progress]: localizing error
0.073 * * * [progress]: generating rewritten candidates
0.074 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.102 * * * [progress]: generating series expansions
0.102 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.103 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.103 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.103 * [taylor]: Taking taylor expansion of x in y
0.103 * [backup-simplify]: Simplify x into x
0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.103 * [taylor]: Taking taylor expansion of y in y
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.103 * [taylor]: Taking taylor expansion of x in x
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.103 * [taylor]: Taking taylor expansion of y in x
0.103 * [backup-simplify]: Simplify y into y
0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.103 * [taylor]: Taking taylor expansion of x in x
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.103 * [taylor]: Taking taylor expansion of y in x
0.103 * [backup-simplify]: Simplify y into y
0.103 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.104 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.104 * [taylor]: Taking taylor expansion of y in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [taylor]: Taking taylor expansion of 0 in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.107 * [backup-simplify]: Simplify (+ 1 0) into 1
0.107 * [taylor]: Taking taylor expansion of 1 in y
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.109 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [taylor]: Taking taylor expansion of 0 in y
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.113 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [taylor]: Taking taylor expansion of 0 in y
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.114 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.114 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.114 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.114 * [taylor]: Taking taylor expansion of x in y
0.114 * [backup-simplify]: Simplify x into x
0.114 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.114 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y
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 * [backup-simplify]: Simplify (* 1 1) into 1
0.115 * [backup-simplify]: Simplify (/ 1 1) into 1
0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.116 * [taylor]: Taking taylor expansion of x in x
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [backup-simplify]: Simplify (* 1 1) into 1
0.116 * [backup-simplify]: Simplify (/ 1 1) into 1
0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.116 * [taylor]: Taking taylor expansion of y in x
0.116 * [backup-simplify]: Simplify y into y
0.117 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.117 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.117 * [taylor]: Taking taylor expansion of x in x
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (* 1 1) into 1
0.118 * [backup-simplify]: Simplify (/ 1 1) into 1
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.118 * [taylor]: Taking taylor expansion of y in x
0.118 * [backup-simplify]: Simplify y into y
0.118 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.119 * [backup-simplify]: Simplify (+ 1 0) into 1
0.119 * [taylor]: Taking taylor expansion of 1 in y
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [taylor]: Taking taylor expansion of 0 in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.123 * [taylor]: Taking taylor expansion of y in y
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify (* 1 1) into 1
0.124 * [backup-simplify]: Simplify (/ 1 1) into 1
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify 1 into 1
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [taylor]: Taking taylor expansion of 0 in y
0.128 * [backup-simplify]: Simplify 0 into 0
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 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [taylor]: Taking taylor expansion of 0 in y
0.135 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.138 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.138 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.138 * [taylor]: Taking taylor expansion of x in y
0.138 * [backup-simplify]: Simplify x into x
0.138 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.138 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.138 * [taylor]: Taking taylor expansion of y in y
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (* 1 1) into 1
0.139 * [backup-simplify]: Simplify (/ 1 1) into 1
0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.139 * [taylor]: Taking taylor expansion of x in x
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (* 1 1) into 1
0.140 * [backup-simplify]: Simplify (/ 1 1) into 1
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.140 * [taylor]: Taking taylor expansion of y in x
0.140 * [backup-simplify]: Simplify y into y
0.140 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.141 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.141 * [taylor]: Taking taylor expansion of x in x
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (/ 1 1) into 1
0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.142 * [taylor]: Taking taylor expansion of y in x
0.142 * [backup-simplify]: Simplify y into y
0.142 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.142 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.142 * [backup-simplify]: Simplify (+ 1 0) into 1
0.142 * [taylor]: Taking taylor expansion of 1 in y
0.142 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [taylor]: Taking taylor expansion of 0 in y
0.144 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.146 * [taylor]: Taking taylor expansion of y in y
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (* 1 1) into 1
0.147 * [backup-simplify]: Simplify (/ 1 1) into 1
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.150 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [taylor]: Taking taylor expansion of 0 in y
0.150 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.155 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [taylor]: Taking taylor expansion of 0 in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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
0.158 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.158 * * * [progress]: simplifying candidates
0.159 * [simplify]: Simplifying:
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.159 * * [simplify]: iteration 0: 30 enodes
0.176 * * [simplify]: iteration 1: 103 enodes
0.249 * * [simplify]: iteration 2: 347 enodes
0.628 * * [simplify]: iteration 3: 1400 enodes
3.122 * * [simplify]: iteration complete: 5002 enodes
3.122 * * [simplify]: Extracting #0: cost 11 inf + 0
3.123 * * [simplify]: Extracting #1: cost 158 inf + 0
3.127 * * [simplify]: Extracting #2: cost 1330 inf + 1
3.140 * * [simplify]: Extracting #3: cost 1714 inf + 11515
3.183 * * [simplify]: Extracting #4: cost 800 inf + 127231
3.274 * * [simplify]: Extracting #5: cost 85 inf + 265051
3.377 * * [simplify]: Extracting #6: cost 4 inf + 285253
3.473 * * [simplify]: Extracting #7: cost 0 inf + 286425
3.577 * [simplify]: Simplified to:
  (exp (+ (* y y) (* x x)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* y y) (* x x)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) (* (* y y) (* y y))))
  (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
3.578 * * * [progress]: adding candidates to table
3.668 * * [progress]: iteration 2 / 4
3.668 * * * [progress]: picking best candidate
3.675 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
3.675 * * * [progress]: localizing error
3.707 * * * [progress]: generating rewritten candidates
3.707 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.727 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
3.743 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.995 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
4.019 * * * [progress]: generating series expansions
4.019 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.019 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
4.019 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
4.019 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
4.019 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
4.019 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.019 * [taylor]: Taking taylor expansion of x in y
4.019 * [backup-simplify]: Simplify x into x
4.019 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.019 * [taylor]: Taking taylor expansion of y in y
4.019 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify 1 into 1
4.020 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.020 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.020 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.020 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.021 * [backup-simplify]: Simplify (+ 0 0) into 0
4.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
4.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.021 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.021 * [taylor]: Taking taylor expansion of x in x
4.021 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify 1 into 1
4.021 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.021 * [taylor]: Taking taylor expansion of y in x
4.021 * [backup-simplify]: Simplify y into y
4.021 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.021 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.021 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.022 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.022 * [backup-simplify]: Simplify (+ 0 0) into 0
4.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
4.022 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.022 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.022 * [taylor]: Taking taylor expansion of x in x
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify 1 into 1
4.022 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.022 * [taylor]: Taking taylor expansion of y in x
4.022 * [backup-simplify]: Simplify y into y
4.023 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.023 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.023 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.023 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.023 * [backup-simplify]: Simplify (+ 0 0) into 0
4.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.024 * [taylor]: Taking taylor expansion of y in y
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [backup-simplify]: Simplify 1 into 1
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [taylor]: Taking taylor expansion of 0 in y
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [backup-simplify]: Simplify 1 into 1
4.024 * [backup-simplify]: Simplify (* 1 1) into 1
4.025 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.025 * [backup-simplify]: Simplify (+ 1 0) into 1
4.026 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.026 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.026 * [taylor]: Taking taylor expansion of 1/2 in y
4.026 * [backup-simplify]: Simplify 1/2 into 1/2
4.026 * [taylor]: Taking taylor expansion of y in y
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 1 into 1
4.026 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.027 * [backup-simplify]: Simplify 0 into 0
4.027 * [backup-simplify]: Simplify 0 into 0
4.027 * [backup-simplify]: Simplify 0 into 0
4.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.029 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.029 * [backup-simplify]: Simplify (+ 0 0) into 0
4.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
4.029 * [taylor]: Taking taylor expansion of 0 in y
4.029 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
4.031 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.031 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
4.031 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
4.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.031 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.031 * [taylor]: Taking taylor expansion of x in y
4.031 * [backup-simplify]: Simplify x into x
4.031 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.031 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.031 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.031 * [taylor]: Taking taylor expansion of y in y
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [backup-simplify]: Simplify (* 1 1) into 1
4.032 * [backup-simplify]: Simplify (/ 1 1) into 1
4.033 * [backup-simplify]: Simplify (+ 0 1) into 1
4.033 * [backup-simplify]: Simplify (sqrt 1) into 1
4.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.035 * [backup-simplify]: Simplify (+ 0 0) into 0
4.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.036 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.036 * [taylor]: Taking taylor expansion of x in x
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify 1 into 1
4.036 * [backup-simplify]: Simplify (* 1 1) into 1
4.036 * [backup-simplify]: Simplify (/ 1 1) into 1
4.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.037 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.037 * [taylor]: Taking taylor expansion of y in x
4.037 * [backup-simplify]: Simplify y into y
4.037 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.037 * [backup-simplify]: Simplify (+ 1 0) into 1
4.038 * [backup-simplify]: Simplify (sqrt 1) into 1
4.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.039 * [backup-simplify]: Simplify (+ 0 0) into 0
4.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.039 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.039 * [taylor]: Taking taylor expansion of x in x
4.039 * [backup-simplify]: Simplify 0 into 0
4.039 * [backup-simplify]: Simplify 1 into 1
4.040 * [backup-simplify]: Simplify (* 1 1) into 1
4.040 * [backup-simplify]: Simplify (/ 1 1) into 1
4.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.040 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.040 * [taylor]: Taking taylor expansion of y in x
4.040 * [backup-simplify]: Simplify y into y
4.040 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.041 * [backup-simplify]: Simplify (+ 1 0) into 1
4.041 * [backup-simplify]: Simplify (sqrt 1) into 1
4.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.042 * [backup-simplify]: Simplify (+ 0 0) into 0
4.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.042 * [taylor]: Taking taylor expansion of 1 in y
4.042 * [backup-simplify]: Simplify 1 into 1
4.043 * [taylor]: Taking taylor expansion of 0 in y
4.043 * [backup-simplify]: Simplify 0 into 0
4.043 * [backup-simplify]: Simplify 1 into 1
4.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.044 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.045 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.045 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.045 * [taylor]: Taking taylor expansion of 1/2 in y
4.045 * [backup-simplify]: Simplify 1/2 into 1/2
4.045 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.045 * [taylor]: Taking taylor expansion of y in y
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 1 into 1
4.045 * [backup-simplify]: Simplify (* 1 1) into 1
4.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.047 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.048 * [backup-simplify]: Simplify (+ 0 0) into 0
4.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.048 * [taylor]: Taking taylor expansion of 0 in y
4.048 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.049 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.050 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.050 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
4.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
4.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.050 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.050 * [taylor]: Taking taylor expansion of x in y
4.050 * [backup-simplify]: Simplify x into x
4.050 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.050 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.050 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.050 * [taylor]: Taking taylor expansion of y in y
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 1 into 1
4.051 * [backup-simplify]: Simplify (* 1 1) into 1
4.051 * [backup-simplify]: Simplify (/ 1 1) into 1
4.051 * [backup-simplify]: Simplify (+ 0 1) into 1
4.052 * [backup-simplify]: Simplify (sqrt 1) into 1
4.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.053 * [backup-simplify]: Simplify (+ 0 0) into 0
4.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.054 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.054 * [taylor]: Taking taylor expansion of x in x
4.054 * [backup-simplify]: Simplify 0 into 0
4.054 * [backup-simplify]: Simplify 1 into 1
4.054 * [backup-simplify]: Simplify (* 1 1) into 1
4.055 * [backup-simplify]: Simplify (/ 1 1) into 1
4.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.055 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.055 * [taylor]: Taking taylor expansion of y in x
4.055 * [backup-simplify]: Simplify y into y
4.055 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.055 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.056 * [backup-simplify]: Simplify (+ 1 0) into 1
4.056 * [backup-simplify]: Simplify (sqrt 1) into 1
4.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.058 * [backup-simplify]: Simplify (+ 0 0) into 0
4.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.058 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.058 * [taylor]: Taking taylor expansion of x in x
4.059 * [backup-simplify]: Simplify 0 into 0
4.059 * [backup-simplify]: Simplify 1 into 1
4.059 * [backup-simplify]: Simplify (* 1 1) into 1
4.059 * [backup-simplify]: Simplify (/ 1 1) into 1
4.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.059 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.059 * [taylor]: Taking taylor expansion of y in x
4.059 * [backup-simplify]: Simplify y into y
4.060 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.060 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.060 * [backup-simplify]: Simplify (+ 1 0) into 1
4.060 * [backup-simplify]: Simplify (sqrt 1) into 1
4.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.062 * [backup-simplify]: Simplify (+ 0 0) into 0
4.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.063 * [taylor]: Taking taylor expansion of 1 in y
4.063 * [backup-simplify]: Simplify 1 into 1
4.063 * [taylor]: Taking taylor expansion of 0 in y
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify 1 into 1
4.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.066 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.067 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.068 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.068 * [taylor]: Taking taylor expansion of 1/2 in y
4.068 * [backup-simplify]: Simplify 1/2 into 1/2
4.068 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.068 * [taylor]: Taking taylor expansion of y in y
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 1 into 1
4.068 * [backup-simplify]: Simplify (* 1 1) into 1
4.069 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.070 * [backup-simplify]: Simplify 0 into 0
4.070 * [backup-simplify]: Simplify 0 into 0
4.070 * [backup-simplify]: Simplify 0 into 0
4.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.072 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.073 * [backup-simplify]: Simplify (+ 0 0) into 0
4.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.073 * [taylor]: Taking taylor expansion of 0 in y
4.073 * [backup-simplify]: Simplify 0 into 0
4.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.076 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
4.076 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
4.076 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
4.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
4.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
4.076 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.076 * [taylor]: Taking taylor expansion of x in y
4.076 * [backup-simplify]: Simplify x into x
4.076 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.077 * [taylor]: Taking taylor expansion of y in y
4.077 * [backup-simplify]: Simplify 0 into 0
4.077 * [backup-simplify]: Simplify 1 into 1
4.077 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.077 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.077 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.077 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.078 * [backup-simplify]: Simplify (+ 0 0) into 0
4.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
4.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.078 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.078 * [taylor]: Taking taylor expansion of x in x
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify 1 into 1
4.078 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.078 * [taylor]: Taking taylor expansion of y in x
4.078 * [backup-simplify]: Simplify y into y
4.078 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.079 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.079 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.079 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.288 * [backup-simplify]: Simplify (+ 0 0) into 0
4.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.330 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
4.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.336 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.336 * [taylor]: Taking taylor expansion of x in x
4.336 * [backup-simplify]: Simplify 0 into 0
4.336 * [backup-simplify]: Simplify 1 into 1
4.336 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.336 * [taylor]: Taking taylor expansion of y in x
4.336 * [backup-simplify]: Simplify y into y
4.337 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.337 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.337 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.337 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.357 * [backup-simplify]: Simplify (+ 0 0) into 0
4.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.368 * [taylor]: Taking taylor expansion of y in y
4.368 * [backup-simplify]: Simplify 0 into 0
4.368 * [backup-simplify]: Simplify 1 into 1
4.372 * [backup-simplify]: Simplify 0 into 0
4.372 * [taylor]: Taking taylor expansion of 0 in y
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 1 into 1
4.374 * [backup-simplify]: Simplify (* 1 1) into 1
4.374 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.374 * [backup-simplify]: Simplify (+ 1 0) into 1
4.375 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.375 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.375 * [taylor]: Taking taylor expansion of 1/2 in y
4.375 * [backup-simplify]: Simplify 1/2 into 1/2
4.375 * [taylor]: Taking taylor expansion of y in y
4.375 * [backup-simplify]: Simplify 0 into 0
4.375 * [backup-simplify]: Simplify 1 into 1
4.376 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.381 * [backup-simplify]: Simplify 0 into 0
4.381 * [backup-simplify]: Simplify 0 into 0
4.381 * [backup-simplify]: Simplify 0 into 0
4.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.383 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.383 * [backup-simplify]: Simplify (+ 0 0) into 0
4.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
4.383 * [taylor]: Taking taylor expansion of 0 in y
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify 0 into 0
4.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.387 * [backup-simplify]: Simplify 0 into 0
4.387 * [backup-simplify]: Simplify 0 into 0
4.387 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
4.392 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.393 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
4.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
4.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.393 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.393 * [taylor]: Taking taylor expansion of x in y
4.393 * [backup-simplify]: Simplify x into x
4.393 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.393 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.393 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.393 * [taylor]: Taking taylor expansion of y in y
4.393 * [backup-simplify]: Simplify 0 into 0
4.393 * [backup-simplify]: Simplify 1 into 1
4.393 * [backup-simplify]: Simplify (* 1 1) into 1
4.394 * [backup-simplify]: Simplify (/ 1 1) into 1
4.394 * [backup-simplify]: Simplify (+ 0 1) into 1
4.394 * [backup-simplify]: Simplify (sqrt 1) into 1
4.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.395 * [backup-simplify]: Simplify (+ 0 0) into 0
4.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.396 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.396 * [taylor]: Taking taylor expansion of x in x
4.396 * [backup-simplify]: Simplify 0 into 0
4.396 * [backup-simplify]: Simplify 1 into 1
4.396 * [backup-simplify]: Simplify (* 1 1) into 1
4.396 * [backup-simplify]: Simplify (/ 1 1) into 1
4.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.396 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.396 * [taylor]: Taking taylor expansion of y in x
4.396 * [backup-simplify]: Simplify y into y
4.396 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.396 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.397 * [backup-simplify]: Simplify (+ 1 0) into 1
4.397 * [backup-simplify]: Simplify (sqrt 1) into 1
4.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.399 * [backup-simplify]: Simplify (+ 0 0) into 0
4.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.399 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.399 * [taylor]: Taking taylor expansion of x in x
4.399 * [backup-simplify]: Simplify 0 into 0
4.399 * [backup-simplify]: Simplify 1 into 1
4.400 * [backup-simplify]: Simplify (* 1 1) into 1
4.400 * [backup-simplify]: Simplify (/ 1 1) into 1
4.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.400 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.400 * [taylor]: Taking taylor expansion of y in x
4.400 * [backup-simplify]: Simplify y into y
4.400 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.401 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.401 * [backup-simplify]: Simplify (+ 1 0) into 1
4.401 * [backup-simplify]: Simplify (sqrt 1) into 1
4.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.403 * [backup-simplify]: Simplify (+ 0 0) into 0
4.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.404 * [taylor]: Taking taylor expansion of 1 in y
4.404 * [backup-simplify]: Simplify 1 into 1
4.404 * [taylor]: Taking taylor expansion of 0 in y
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify 1 into 1
4.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.406 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.407 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.407 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.407 * [taylor]: Taking taylor expansion of 1/2 in y
4.407 * [backup-simplify]: Simplify 1/2 into 1/2
4.407 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.407 * [taylor]: Taking taylor expansion of y in y
4.407 * [backup-simplify]: Simplify 0 into 0
4.407 * [backup-simplify]: Simplify 1 into 1
4.407 * [backup-simplify]: Simplify (* 1 1) into 1
4.408 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.409 * [backup-simplify]: Simplify 0 into 0
4.409 * [backup-simplify]: Simplify 0 into 0
4.409 * [backup-simplify]: Simplify 0 into 0
4.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.411 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.412 * [backup-simplify]: Simplify (+ 0 0) into 0
4.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.413 * [taylor]: Taking taylor expansion of 0 in y
4.413 * [backup-simplify]: Simplify 0 into 0
4.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.415 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.415 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
4.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
4.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.415 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.415 * [taylor]: Taking taylor expansion of x in y
4.415 * [backup-simplify]: Simplify x into x
4.415 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.416 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.416 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.416 * [taylor]: Taking taylor expansion of y in y
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [backup-simplify]: Simplify 1 into 1
4.416 * [backup-simplify]: Simplify (* 1 1) into 1
4.417 * [backup-simplify]: Simplify (/ 1 1) into 1
4.417 * [backup-simplify]: Simplify (+ 0 1) into 1
4.417 * [backup-simplify]: Simplify (sqrt 1) into 1
4.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.419 * [backup-simplify]: Simplify (+ 0 0) into 0
4.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.420 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.420 * [taylor]: Taking taylor expansion of x in x
4.420 * [backup-simplify]: Simplify 0 into 0
4.420 * [backup-simplify]: Simplify 1 into 1
4.421 * [backup-simplify]: Simplify (* 1 1) into 1
4.421 * [backup-simplify]: Simplify (/ 1 1) into 1
4.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.421 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.421 * [taylor]: Taking taylor expansion of y in x
4.421 * [backup-simplify]: Simplify y into y
4.421 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.421 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.422 * [backup-simplify]: Simplify (+ 1 0) into 1
4.428 * [backup-simplify]: Simplify (sqrt 1) into 1
4.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.430 * [backup-simplify]: Simplify (+ 0 0) into 0
4.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.431 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.431 * [taylor]: Taking taylor expansion of x in x
4.431 * [backup-simplify]: Simplify 0 into 0
4.431 * [backup-simplify]: Simplify 1 into 1
4.431 * [backup-simplify]: Simplify (* 1 1) into 1
4.432 * [backup-simplify]: Simplify (/ 1 1) into 1
4.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.432 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.432 * [taylor]: Taking taylor expansion of y in x
4.432 * [backup-simplify]: Simplify y into y
4.432 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.433 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.434 * [backup-simplify]: Simplify (+ 1 0) into 1
4.434 * [backup-simplify]: Simplify (sqrt 1) into 1
4.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.436 * [backup-simplify]: Simplify (+ 0 0) into 0
4.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.436 * [taylor]: Taking taylor expansion of 1 in y
4.436 * [backup-simplify]: Simplify 1 into 1
4.436 * [taylor]: Taking taylor expansion of 0 in y
4.436 * [backup-simplify]: Simplify 0 into 0
4.436 * [backup-simplify]: Simplify 1 into 1
4.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.438 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.439 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.439 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.440 * [taylor]: Taking taylor expansion of 1/2 in y
4.440 * [backup-simplify]: Simplify 1/2 into 1/2
4.440 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.440 * [taylor]: Taking taylor expansion of y in y
4.440 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify 1 into 1
4.440 * [backup-simplify]: Simplify (* 1 1) into 1
4.440 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.441 * [backup-simplify]: Simplify 0 into 0
4.441 * [backup-simplify]: Simplify 0 into 0
4.441 * [backup-simplify]: Simplify 0 into 0
4.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.443 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.444 * [backup-simplify]: Simplify (+ 0 0) into 0
4.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.444 * [taylor]: Taking taylor expansion of 0 in y
4.444 * [backup-simplify]: Simplify 0 into 0
4.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.448 * * * * [progress]: [ 3 / 4 ] generating series at (2)
4.449 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2))
4.449 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
4.449 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
4.449 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.449 * [taylor]: Taking taylor expansion of x in y
4.449 * [backup-simplify]: Simplify x into x
4.449 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.449 * [taylor]: Taking taylor expansion of y in y
4.449 * [backup-simplify]: Simplify 0 into 0
4.449 * [backup-simplify]: Simplify 1 into 1
4.449 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.450 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.450 * [taylor]: Taking taylor expansion of x in x
4.450 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify 1 into 1
4.450 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.450 * [taylor]: Taking taylor expansion of y in x
4.450 * [backup-simplify]: Simplify y into y
4.450 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.450 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.450 * [taylor]: Taking taylor expansion of x in x
4.450 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify 1 into 1
4.450 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.450 * [taylor]: Taking taylor expansion of y in x
4.450 * [backup-simplify]: Simplify y into y
4.450 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.450 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.450 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.450 * [taylor]: Taking taylor expansion of y in y
4.450 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify 1 into 1
4.451 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.451 * [backup-simplify]: Simplify (+ 0 0) into 0
4.451 * [taylor]: Taking taylor expansion of 0 in y
4.451 * [backup-simplify]: Simplify 0 into 0
4.451 * [backup-simplify]: Simplify 0 into 0
4.452 * [backup-simplify]: Simplify (* 1 1) into 1
4.452 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.460 * [backup-simplify]: Simplify (+ 1 0) into 1
4.460 * [taylor]: Taking taylor expansion of 1 in y
4.460 * [backup-simplify]: Simplify 1 into 1
4.461 * [backup-simplify]: Simplify 1 into 1
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify (* 1 1) into 1
4.461 * [backup-simplify]: Simplify 1 into 1
4.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.463 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.463 * [backup-simplify]: Simplify (+ 0 0) into 0
4.463 * [taylor]: Taking taylor expansion of 0 in y
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify 0 into 0
4.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.464 * [backup-simplify]: Simplify 0 into 0
4.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.471 * [backup-simplify]: Simplify (+ 0 0) into 0
4.471 * [taylor]: Taking taylor expansion of 0 in y
4.471 * [backup-simplify]: Simplify 0 into 0
4.471 * [backup-simplify]: Simplify 0 into 0
4.471 * [backup-simplify]: Simplify 0 into 0
4.471 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
4.472 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.472 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.472 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.472 * [taylor]: Taking taylor expansion of x in y
4.472 * [backup-simplify]: Simplify x into x
4.472 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.472 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.473 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.473 * [taylor]: Taking taylor expansion of y in y
4.473 * [backup-simplify]: Simplify 0 into 0
4.473 * [backup-simplify]: Simplify 1 into 1
4.473 * [backup-simplify]: Simplify (* 1 1) into 1
4.474 * [backup-simplify]: Simplify (/ 1 1) into 1
4.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.474 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.474 * [taylor]: Taking taylor expansion of x in x
4.474 * [backup-simplify]: Simplify 0 into 0
4.474 * [backup-simplify]: Simplify 1 into 1
4.474 * [backup-simplify]: Simplify (* 1 1) into 1
4.474 * [backup-simplify]: Simplify (/ 1 1) into 1
4.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.474 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.474 * [taylor]: Taking taylor expansion of y in x
4.474 * [backup-simplify]: Simplify y into y
4.475 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.475 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.475 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.475 * [taylor]: Taking taylor expansion of x in x
4.475 * [backup-simplify]: Simplify 0 into 0
4.475 * [backup-simplify]: Simplify 1 into 1
4.475 * [backup-simplify]: Simplify (* 1 1) into 1
4.476 * [backup-simplify]: Simplify (/ 1 1) into 1
4.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.476 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.476 * [taylor]: Taking taylor expansion of y in x
4.476 * [backup-simplify]: Simplify y into y
4.476 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.476 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.477 * [backup-simplify]: Simplify (+ 1 0) into 1
4.477 * [taylor]: Taking taylor expansion of 1 in y
4.477 * [backup-simplify]: Simplify 1 into 1
4.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.479 * [backup-simplify]: Simplify (+ 0 0) into 0
4.479 * [taylor]: Taking taylor expansion of 0 in y
4.479 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.488 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.488 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.488 * [taylor]: Taking taylor expansion of y in y
4.488 * [backup-simplify]: Simplify 0 into 0
4.488 * [backup-simplify]: Simplify 1 into 1
4.489 * [backup-simplify]: Simplify (* 1 1) into 1
4.489 * [backup-simplify]: Simplify (/ 1 1) into 1
4.489 * [backup-simplify]: Simplify 1 into 1
4.489 * [backup-simplify]: Simplify 1 into 1
4.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.491 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.492 * [backup-simplify]: Simplify (+ 0 0) into 0
4.492 * [taylor]: Taking taylor expansion of 0 in y
4.492 * [backup-simplify]: Simplify 0 into 0
4.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify 0 into 0
4.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.506 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.507 * [backup-simplify]: Simplify (+ 0 0) into 0
4.507 * [taylor]: Taking taylor expansion of 0 in y
4.507 * [backup-simplify]: Simplify 0 into 0
4.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.509 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
4.510 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.516 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.516 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.516 * [taylor]: Taking taylor expansion of x in y
4.516 * [backup-simplify]: Simplify x into x
4.517 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.517 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.517 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.517 * [taylor]: Taking taylor expansion of y in y
4.517 * [backup-simplify]: Simplify 0 into 0
4.517 * [backup-simplify]: Simplify 1 into 1
4.518 * [backup-simplify]: Simplify (* 1 1) into 1
4.518 * [backup-simplify]: Simplify (/ 1 1) into 1
4.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.518 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.518 * [taylor]: Taking taylor expansion of x in x
4.518 * [backup-simplify]: Simplify 0 into 0
4.518 * [backup-simplify]: Simplify 1 into 1
4.518 * [backup-simplify]: Simplify (* 1 1) into 1
4.519 * [backup-simplify]: Simplify (/ 1 1) into 1
4.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.519 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.519 * [taylor]: Taking taylor expansion of y in x
4.519 * [backup-simplify]: Simplify y into y
4.519 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.519 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.519 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.519 * [taylor]: Taking taylor expansion of x in x
4.519 * [backup-simplify]: Simplify 0 into 0
4.519 * [backup-simplify]: Simplify 1 into 1
4.520 * [backup-simplify]: Simplify (* 1 1) into 1
4.520 * [backup-simplify]: Simplify (/ 1 1) into 1
4.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.520 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.520 * [taylor]: Taking taylor expansion of y in x
4.520 * [backup-simplify]: Simplify y into y
4.520 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.520 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.521 * [backup-simplify]: Simplify (+ 1 0) into 1
4.521 * [taylor]: Taking taylor expansion of 1 in y
4.521 * [backup-simplify]: Simplify 1 into 1
4.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.523 * [backup-simplify]: Simplify (+ 0 0) into 0
4.523 * [taylor]: Taking taylor expansion of 0 in y
4.523 * [backup-simplify]: Simplify 0 into 0
4.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.525 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.525 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.525 * [taylor]: Taking taylor expansion of y in y
4.525 * [backup-simplify]: Simplify 0 into 0
4.525 * [backup-simplify]: Simplify 1 into 1
4.525 * [backup-simplify]: Simplify (* 1 1) into 1
4.526 * [backup-simplify]: Simplify (/ 1 1) into 1
4.526 * [backup-simplify]: Simplify 1 into 1
4.526 * [backup-simplify]: Simplify 1 into 1
4.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.528 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.528 * [backup-simplify]: Simplify (+ 0 0) into 0
4.528 * [taylor]: Taking taylor expansion of 0 in y
4.528 * [backup-simplify]: Simplify 0 into 0
4.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.530 * [backup-simplify]: Simplify 0 into 0
4.530 * [backup-simplify]: Simplify 0 into 0
4.530 * [backup-simplify]: Simplify 0 into 0
4.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.532 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.533 * [backup-simplify]: Simplify (+ 0 0) into 0
4.533 * [taylor]: Taking taylor expansion of 0 in y
4.533 * [backup-simplify]: Simplify 0 into 0
4.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.535 * [backup-simplify]: Simplify 0 into 0
4.535 * [backup-simplify]: Simplify 0 into 0
4.535 * [backup-simplify]: Simplify 0 into 0
4.536 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
4.536 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
4.536 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
4.536 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
4.536 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
4.536 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.536 * [taylor]: Taking taylor expansion of x in y
4.536 * [backup-simplify]: Simplify x into x
4.536 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.536 * [taylor]: Taking taylor expansion of y in y
4.536 * [backup-simplify]: Simplify 0 into 0
4.536 * [backup-simplify]: Simplify 1 into 1
4.536 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.537 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.537 * [taylor]: Taking taylor expansion of x in x
4.537 * [backup-simplify]: Simplify 0 into 0
4.537 * [backup-simplify]: Simplify 1 into 1
4.537 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.537 * [taylor]: Taking taylor expansion of y in x
4.537 * [backup-simplify]: Simplify y into y
4.537 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.537 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.537 * [taylor]: Taking taylor expansion of x in x
4.537 * [backup-simplify]: Simplify 0 into 0
4.537 * [backup-simplify]: Simplify 1 into 1
4.537 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.537 * [taylor]: Taking taylor expansion of y in x
4.537 * [backup-simplify]: Simplify y into y
4.537 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.537 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.537 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.537 * [taylor]: Taking taylor expansion of y in y
4.537 * [backup-simplify]: Simplify 0 into 0
4.537 * [backup-simplify]: Simplify 1 into 1
4.537 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.538 * [backup-simplify]: Simplify (+ 0 0) into 0
4.538 * [taylor]: Taking taylor expansion of 0 in y
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [backup-simplify]: Simplify 0 into 0
4.539 * [backup-simplify]: Simplify (* 1 1) into 1
4.539 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.539 * [backup-simplify]: Simplify (+ 1 0) into 1
4.540 * [taylor]: Taking taylor expansion of 1 in y
4.540 * [backup-simplify]: Simplify 1 into 1
4.540 * [backup-simplify]: Simplify 1 into 1
4.540 * [backup-simplify]: Simplify 0 into 0
4.540 * [backup-simplify]: Simplify (* 1 1) into 1
4.540 * [backup-simplify]: Simplify 1 into 1
4.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.542 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.542 * [backup-simplify]: Simplify (+ 0 0) into 0
4.542 * [taylor]: Taking taylor expansion of 0 in y
4.542 * [backup-simplify]: Simplify 0 into 0
4.542 * [backup-simplify]: Simplify 0 into 0
4.542 * [backup-simplify]: Simplify 0 into 0
4.542 * [backup-simplify]: Simplify 0 into 0
4.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.543 * [backup-simplify]: Simplify 0 into 0
4.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.545 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.545 * [backup-simplify]: Simplify (+ 0 0) into 0
4.545 * [taylor]: Taking taylor expansion of 0 in y
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.546 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
4.546 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.546 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.546 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.546 * [taylor]: Taking taylor expansion of x in y
4.546 * [backup-simplify]: Simplify x into x
4.547 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.547 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.547 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.547 * [taylor]: Taking taylor expansion of y in y
4.547 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify 1 into 1
4.547 * [backup-simplify]: Simplify (* 1 1) into 1
4.548 * [backup-simplify]: Simplify (/ 1 1) into 1
4.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.548 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.548 * [taylor]: Taking taylor expansion of x in x
4.548 * [backup-simplify]: Simplify 0 into 0
4.548 * [backup-simplify]: Simplify 1 into 1
4.548 * [backup-simplify]: Simplify (* 1 1) into 1
4.549 * [backup-simplify]: Simplify (/ 1 1) into 1
4.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.549 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.549 * [taylor]: Taking taylor expansion of y in x
4.549 * [backup-simplify]: Simplify y into y
4.549 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.549 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.549 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.549 * [taylor]: Taking taylor expansion of x in x
4.549 * [backup-simplify]: Simplify 0 into 0
4.549 * [backup-simplify]: Simplify 1 into 1
4.550 * [backup-simplify]: Simplify (* 1 1) into 1
4.550 * [backup-simplify]: Simplify (/ 1 1) into 1
4.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.550 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.550 * [taylor]: Taking taylor expansion of y in x
4.550 * [backup-simplify]: Simplify y into y
4.550 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.550 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.551 * [backup-simplify]: Simplify (+ 1 0) into 1
4.551 * [taylor]: Taking taylor expansion of 1 in y
4.551 * [backup-simplify]: Simplify 1 into 1
4.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.553 * [backup-simplify]: Simplify (+ 0 0) into 0
4.553 * [taylor]: Taking taylor expansion of 0 in y
4.553 * [backup-simplify]: Simplify 0 into 0
4.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.555 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.555 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.555 * [taylor]: Taking taylor expansion of y in y
4.555 * [backup-simplify]: Simplify 0 into 0
4.555 * [backup-simplify]: Simplify 1 into 1
4.555 * [backup-simplify]: Simplify (* 1 1) into 1
4.556 * [backup-simplify]: Simplify (/ 1 1) into 1
4.556 * [backup-simplify]: Simplify 1 into 1
4.556 * [backup-simplify]: Simplify 1 into 1
4.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.558 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.566 * [backup-simplify]: Simplify (+ 0 0) into 0
4.567 * [taylor]: Taking taylor expansion of 0 in y
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.571 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) 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
4.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
4.575 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.575 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.575 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.575 * [taylor]: Taking taylor expansion of x in y
4.575 * [backup-simplify]: Simplify x into x
4.575 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.575 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.575 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.575 * [taylor]: Taking taylor expansion of y in y
4.575 * [backup-simplify]: Simplify 0 into 0
4.575 * [backup-simplify]: Simplify 1 into 1
4.576 * [backup-simplify]: Simplify (* 1 1) into 1
4.576 * [backup-simplify]: Simplify (/ 1 1) into 1
4.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.576 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.577 * [taylor]: Taking taylor expansion of x in x
4.577 * [backup-simplify]: Simplify 0 into 0
4.577 * [backup-simplify]: Simplify 1 into 1
4.577 * [backup-simplify]: Simplify (* 1 1) into 1
4.577 * [backup-simplify]: Simplify (/ 1 1) into 1
4.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.577 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.577 * [taylor]: Taking taylor expansion of y in x
4.577 * [backup-simplify]: Simplify y into y
4.578 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.578 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.578 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.578 * [taylor]: Taking taylor expansion of x in x
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 1) into 1
4.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.579 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.579 * [taylor]: Taking taylor expansion of y in x
4.579 * [backup-simplify]: Simplify y into y
4.579 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.579 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.580 * [backup-simplify]: Simplify (+ 1 0) into 1
4.580 * [taylor]: Taking taylor expansion of 1 in y
4.580 * [backup-simplify]: Simplify 1 into 1
4.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.581 * [backup-simplify]: Simplify (+ 0 0) into 0
4.581 * [taylor]: Taking taylor expansion of 0 in y
4.582 * [backup-simplify]: Simplify 0 into 0
4.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.584 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.584 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.584 * [taylor]: Taking taylor expansion of y in y
4.584 * [backup-simplify]: Simplify 0 into 0
4.584 * [backup-simplify]: Simplify 1 into 1
4.584 * [backup-simplify]: Simplify (* 1 1) into 1
4.585 * [backup-simplify]: Simplify (/ 1 1) into 1
4.585 * [backup-simplify]: Simplify 1 into 1
4.585 * [backup-simplify]: Simplify 1 into 1
4.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.636 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.638 * [backup-simplify]: Simplify (+ 0 0) into 0
4.638 * [taylor]: Taking taylor expansion of 0 in y
4.638 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify 0 into 0
4.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.655 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.656 * [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
4.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
4.667 * * * [progress]: simplifying candidates
4.722 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))
  (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))
  (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))))
  (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))))
  (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 1 1)
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) 1)
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
4.726 * * [simplify]: iteration 0: 92 enodes
4.782 * * [simplify]: iteration 1: 195 enodes
4.899 * * [simplify]: iteration 2: 496 enodes
5.914 * * [simplify]: iteration 3: 1571 enodes
9.092 * * [simplify]: iteration complete: 5001 enodes
9.092 * * [simplify]: Extracting #0: cost 39 inf + 0
9.093 * * [simplify]: Extracting #1: cost 244 inf + 5
9.100 * * [simplify]: Extracting #2: cost 986 inf + 2424
9.122 * * [simplify]: Extracting #3: cost 946 inf + 43809
9.194 * * [simplify]: Extracting #4: cost 347 inf + 190758
9.307 * * [simplify]: Extracting #5: cost 29 inf + 286206
9.441 * * [simplify]: Extracting #6: cost 0 inf + 296338
9.549 * [simplify]: Simplified to:
  (log (sqrt (+ (* y y) (* x x))))
  (exp (sqrt (+ (* y y) (* x x))))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (cbrt (sqrt (+ (* y y) (* x x))))
  (* (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)))
  (fabs (cbrt (+ (* y y) (* x x))))
  (sqrt (cbrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x))))
  (sqrt (- (* (* y y) (* y y)) (* (* x x) (- (* y y) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (* (+ x y) (- x y)))
  1/2
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (log (sqrt (+ (* y y) (* x x))))
  (exp (sqrt (+ (* y y) (* x x))))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (cbrt (sqrt (+ (* y y) (* x x))))
  (* (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)))
  (fabs (cbrt (+ (* y y) (* x x))))
  (sqrt (cbrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x))))
  (sqrt (- (* (* y y) (* y y)) (* (* x x) (- (* y y) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (* (+ x y) (- x y)))
  1/2
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  1
  2
  1
  1
  (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))
  (+ (* y y) (* x x))
  (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))
  2
  (log (+ (* y y) (* x x)))
  (log (+ (* y y) (* x x)))
  (exp (+ (* y y) (* x x)))
  (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))
  (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))
  (cbrt (+ (* y y) (* x x)))
  (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))
  (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x)))
  (- (* (* y y) (* y y)) (* (* x x) (- (* y y) (* x x))))
  (* (sqrt (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (- (* (* y y) (* y y)) (* (* x x) (- (* y y) (* x x))))) (sqrt (* (+ x y) (- x y))))
  (* (sqrt (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (- (* (* y y) (* y y)) (* (* x x) (- (* y y) (* x x))))) (sqrt (* (+ x y) (- x y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (* (+ x y) (- x y))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))
  (cbrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  1
  (+ (* y y) (* x x))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  1
  (+ (* y y) (* x x))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  1
  2
  1
  (* (sqrt (+ (* y y) (* x x))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))))
  (* (fabs (cbrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (sqrt (+ (* y y) (* x x)))
  (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (sqrt (+ (* y y) (* x x)))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (* (sqrt (cbrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (+ (* y y) (* x x))
  (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (+ (* y y) (* x x))
  (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x)))))
  (* (sqrt (+ (* y y) (* x x))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x)))))
  (* (sqrt (+ (* y y) (* x x))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (exp (+ (* y y) (* x x)))
  (log (+ (* y y) (* x x)))
  (exp (+ (* y y) (* x x)))
  (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))
  (cbrt (+ (* y y) (* x x)))
  (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x)))
  (- (* (* y y) (* y y)) (* (* x x) (- (* y y) (* x x))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (* (+ x y) (- x y))
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
9.561 * * * [progress]: adding candidates to table
10.281 * [progress]: [Phase 3 of 3] Extracting.
10.281 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
10.282 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x)
10.282 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
10.342 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
10.397 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
10.459 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
10.514 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
10.580 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
10.580 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
10.580 * * [simplify]: iteration 0: 5 enodes
10.581 * * [simplify]: iteration 1: 6 enodes
10.582 * * [simplify]: iteration complete: 6 enodes
10.582 * * [simplify]: Extracting #0: cost 1 inf + 0
10.582 * * [simplify]: Extracting #1: cost 3 inf + 0
10.582 * * [simplify]: Extracting #2: cost 5 inf + 0
10.582 * * [simplify]: Extracting #3: cost 2 inf + 43
10.582 * * [simplify]: Extracting #4: cost 0 inf + 206
10.582 * [simplify]: Simplified to:
  (+ (* y y) (* x x))
13.400 * [regime-testing]: Baseline error score: 0.006500812601575197
13.417 * [regime-testing]: Oracle error score: 0.005250656332041505
13.451 * [regime-testing]: End program error score: 0.006500812601575197