7.722 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.039 * * * [progress]: [2/2] Setting up program.
0.042 * [progress]: [Phase 2 of 3] Improving.
0.042 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.042 * * [simplify]: Extracting # 0 : cost  0
0.042 * * [simplify]: Extracting # 1 : cost  0
0.042 * * [simplify]: Extracting # 2 : cost  0
0.042 * * [simplify]: Extracting # 3 : cost  0
0.042 * * [simplify]: Extracting # 4 : cost  0
0.042 * * [simplify]: iteration  0 :  5  enodes  (cost  7 )
0.044 * * [simplify]: Extracting # 0 : cost  0
0.044 * * [simplify]: Extracting # 1 : cost  0
0.044 * * [simplify]: iteration  1 :  7  enodes  (cost  6 )
0.046 * * [simplify]: Extracting # 0 : cost  0
0.046 * * [simplify]: iteration  2 :  8  enodes  (cost  6 )
0.048 * * [simplify]: Extracting # 0 : cost  0
0.048 * * [simplify]: iteration done:  8  enodes  (cost  6 )
0.048 * [simplify]: Simplified to:
  (fma x x (* y y))
0.053 * * [progress]: iteration 1 / 4
0.053 * * * [progress]: picking best candidate
0.064 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.064 * * * [progress]: localizing error
0.075 * * * [progress]: generating rewritten candidates
0.075 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.092 * * * [progress]: generating series expansions
0.092 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.093 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.093 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.093 * [taylor]: Taking taylor expansion of x in y
0.093 * [backup-simplify]: Simplify x into x
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.093 * [taylor]: Taking taylor expansion of y in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.093 * [taylor]: Taking taylor expansion of y in x
0.093 * [backup-simplify]: Simplify y into y
0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.093 * [taylor]: Taking taylor expansion of y in x
0.094 * [backup-simplify]: Simplify y into y
0.094 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.094 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.094 * [taylor]: Taking taylor expansion of y in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [taylor]: Taking taylor expansion of 0 in y
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (* 1 1) into 1
0.096 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.096 * [backup-simplify]: Simplify (+ 1 0) into 1
0.096 * [taylor]: Taking taylor expansion of 1 in y
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.098 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [taylor]: Taking taylor expansion of 0 in y
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.101 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [taylor]: Taking taylor expansion of 0 in y
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.102 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.102 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.103 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
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 * [backup-simplify]: Simplify (* 1 1) into 1
0.104 * [backup-simplify]: Simplify (/ 1 1) into 1
0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.104 * [taylor]: Taking taylor expansion of x in x
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (* 1 1) into 1
0.104 * [backup-simplify]: Simplify (/ 1 1) into 1
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.104 * [taylor]: Taking taylor expansion of y in x
0.105 * [backup-simplify]: Simplify y into y
0.105 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.105 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.105 * [taylor]: Taking taylor expansion of x in x
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (* 1 1) into 1
0.106 * [backup-simplify]: Simplify (/ 1 1) into 1
0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.106 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.106 * [taylor]: Taking taylor expansion of y in x
0.106 * [backup-simplify]: Simplify y into y
0.106 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.106 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.106 * [backup-simplify]: Simplify (+ 1 0) into 1
0.106 * [taylor]: Taking taylor expansion of 1 in y
0.106 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [taylor]: Taking taylor expansion of 0 in y
0.108 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.110 * [taylor]: Taking taylor expansion of y in y
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify (* 1 1) into 1
0.111 * [backup-simplify]: Simplify (/ 1 1) into 1
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [taylor]: Taking taylor expansion of 0 in y
0.113 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [taylor]: Taking taylor expansion of 0 in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.121 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.121 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.121 * [taylor]: Taking taylor expansion of x in y
0.121 * [backup-simplify]: Simplify x into x
0.121 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.121 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.121 * [taylor]: Taking taylor expansion of y in y
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (* 1 1) into 1
0.122 * [backup-simplify]: Simplify (/ 1 1) into 1
0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.122 * [taylor]: Taking taylor expansion of x in x
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify (* 1 1) into 1
0.123 * [backup-simplify]: Simplify (/ 1 1) into 1
0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.123 * [taylor]: Taking taylor expansion of y in x
0.123 * [backup-simplify]: Simplify y into y
0.123 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.123 * [taylor]: Taking taylor expansion of x in x
0.123 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify (* 1 1) into 1
0.124 * [backup-simplify]: Simplify (/ 1 1) into 1
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.124 * [taylor]: Taking taylor expansion of y in x
0.124 * [backup-simplify]: Simplify y into y
0.124 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.125 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.125 * [backup-simplify]: Simplify (+ 1 0) into 1
0.125 * [taylor]: Taking taylor expansion of 1 in y
0.125 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [taylor]: Taking taylor expansion of 0 in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.129 * [taylor]: Taking taylor expansion of y in y
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (* 1 1) into 1
0.130 * [backup-simplify]: Simplify (/ 1 1) into 1
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [taylor]: Taking taylor expansion of 0 in y
0.133 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.138 * [taylor]: Taking taylor expansion of 0 in y
0.138 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.140 * * * [progress]: simplifying candidates
0.141 * [simplify]: Simplifying:
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* 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))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.142 * * [simplify]: Extracting # 0 : cost  0
0.142 * * [simplify]: Extracting # 1 : cost  0
0.142 * * [simplify]: Extracting # 2 : cost  0
0.142 * * [simplify]: Extracting # 3 : cost  0
0.142 * * [simplify]: Extracting # 4 : cost  0
0.142 * * [simplify]: Extracting # 5 : cost  0
0.142 * * [simplify]: Extracting # 6 : cost  0
0.142 * * [simplify]: iteration  0 :  32  enodes  (cost  182 )
0.156 * * [simplify]: Extracting # 0 : cost  0
0.156 * * [simplify]: Extracting # 1 : cost  0
0.157 * * [simplify]: Extracting # 2 : cost  0
0.157 * * [simplify]: Extracting # 3 : cost  0
0.157 * * [simplify]: iteration  1 :  108  enodes  (cost  151 )
0.213 * * [simplify]: Extracting # 0 : cost  0
0.214 * * [simplify]: Extracting # 1 : cost  0
0.214 * * [simplify]: Extracting # 2 : cost  0
0.214 * * [simplify]: Extracting # 3 : cost  0
0.215 * * [simplify]: Extracting # 4 : cost  0
0.215 * * [simplify]: iteration  2 :  332  enodes  (cost  124 )
0.352 * * [simplify]: Extracting # 0 : cost  0
0.353 * * [simplify]: Extracting # 1 : cost  0
0.354 * * [simplify]: Extracting # 2 : cost  0
0.355 * * [simplify]: Extracting # 3 : cost  0
0.356 * * [simplify]: Extracting # 4 : cost  0
0.356 * * [simplify]: iteration  3 :  853  enodes  (cost  124 )
1.059 * * [simplify]: Extracting # 0 : cost  0
1.067 * * [simplify]: Extracting # 1 : cost  0
1.069 * * [simplify]: Extracting # 2 : cost  0
1.071 * * [simplify]: Extracting # 3 : cost  0
1.073 * * [simplify]: Extracting # 4 : cost  0
1.075 * * [simplify]: iteration  4 :  2424  enodes  (cost  124 )
2.291 * * [simplify]: Extracting # 0 : cost  0
2.296 * * [simplify]: Extracting # 1 : cost  0
2.301 * * [simplify]: Extracting # 2 : cost  0
2.306 * * [simplify]: Extracting # 3 : cost  0
2.311 * * [simplify]: Extracting # 4 : cost  0
2.316 * * [simplify]: iteration done:  5000  enodes  (cost  124 )
2.316 * [simplify]: Simplified to:
  (expm1 (fma x x (pow y 2)))
  (log1p (fma x x (pow y 2)))
  (exp (fma x x (pow y 2)))
  (log (fma x x (pow y 2)))
  (exp (fma x x (pow y 2)))
  (* (cbrt (fma x x (pow y 2))) (cbrt (fma x x (pow y 2))))
  (cbrt (fma x x (pow y 2)))
  (pow (fma x x (pow y 2)) 3)
  (hypot x y)
  (hypot x y)
  (+ (pow x 6) (pow y 6))
  (fma (* y y) (- (* y y) (* x x)) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  (fma x x (pow y 2))
  (fma x x (pow y 2))
  (fma x x (pow y 2))
2.316 * * * [progress]: adding candidates to table
2.370 * * [progress]: iteration 2 / 4
2.370 * * * [progress]: picking best candidate
2.372 * * * * [pick]: Picked  #<alt (λ (x y) (* (hypot x y) (hypot x y)))>
2.372 * * * [progress]: localizing error
2.379 * * * [progress]: generating rewritten candidates
2.380 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
2.393 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
2.394 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
2.395 * * * [progress]: generating series expansions
2.395 * * * * [progress]: [ 1 / 3 ] generating series at (2)
2.395 * [backup-simplify]: Simplify (* (hypot x y) (hypot x y)) into (pow (hypot x y) 2)
2.395 * [approximate]: Taking taylor expansion of (pow (hypot x y) 2) in (x y) around 0
2.395 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y
2.395 * [taylor]: Taking taylor expansion of (hypot x y) in y
2.395 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.395 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
2.396 * [taylor]: Taking taylor expansion of (* x x) in y
2.396 * [taylor]: Taking taylor expansion of x in y
2.396 * [backup-simplify]: Simplify x into x
2.396 * [taylor]: Taking taylor expansion of x in y
2.396 * [backup-simplify]: Simplify x into x
2.396 * [taylor]: Taking taylor expansion of (* y y) in y
2.396 * [taylor]: Taking taylor expansion of y in y
2.396 * [backup-simplify]: Simplify 0 into 0
2.396 * [backup-simplify]: Simplify 1 into 1
2.396 * [taylor]: Taking taylor expansion of y in y
2.396 * [backup-simplify]: Simplify 0 into 0
2.396 * [backup-simplify]: Simplify 1 into 1
2.396 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.396 * [backup-simplify]: Simplify (* 0 0) into 0
2.396 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.396 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.396 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.397 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.397 * [backup-simplify]: Simplify (+ 0 0) into 0
2.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.397 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x
2.397 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.397 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.397 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.397 * [taylor]: Taking taylor expansion of (* x x) in x
2.397 * [taylor]: Taking taylor expansion of x in x
2.397 * [backup-simplify]: Simplify 0 into 0
2.397 * [backup-simplify]: Simplify 1 into 1
2.397 * [taylor]: Taking taylor expansion of x in x
2.397 * [backup-simplify]: Simplify 0 into 0
2.397 * [backup-simplify]: Simplify 1 into 1
2.397 * [taylor]: Taking taylor expansion of (* y y) in x
2.398 * [taylor]: Taking taylor expansion of y in x
2.398 * [backup-simplify]: Simplify y into y
2.398 * [taylor]: Taking taylor expansion of y in x
2.398 * [backup-simplify]: Simplify y into y
2.398 * [backup-simplify]: Simplify (* 0 0) into 0
2.398 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.398 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.398 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.398 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.398 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.399 * [backup-simplify]: Simplify (+ 0 0) into 0
2.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.399 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x
2.399 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.399 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.399 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.399 * [taylor]: Taking taylor expansion of (* x x) in x
2.399 * [taylor]: Taking taylor expansion of x in x
2.399 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify 1 into 1
2.399 * [taylor]: Taking taylor expansion of x in x
2.399 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify 1 into 1
2.399 * [taylor]: Taking taylor expansion of (* y y) in x
2.399 * [taylor]: Taking taylor expansion of y in x
2.399 * [backup-simplify]: Simplify y into y
2.399 * [taylor]: Taking taylor expansion of y in x
2.399 * [backup-simplify]: Simplify y into y
2.399 * [backup-simplify]: Simplify (* 0 0) into 0
2.399 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.400 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.400 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.400 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.400 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.400 * [backup-simplify]: Simplify (+ 0 0) into 0
2.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.401 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.401 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.401 * [taylor]: Taking taylor expansion of y in y
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify 1 into 1
2.401 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.401 * [taylor]: Taking taylor expansion of 0 in y
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.401 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.402 * [backup-simplify]: Simplify (+ 1 0) into 1
2.402 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.403 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1
2.403 * [taylor]: Taking taylor expansion of 1 in y
2.403 * [backup-simplify]: Simplify 1 into 1
2.403 * [backup-simplify]: Simplify 1 into 1
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify (* 1 1) into 1
2.403 * [backup-simplify]: Simplify 1 into 1
2.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.404 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.404 * [backup-simplify]: Simplify (+ 0 0) into 0
2.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.404 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 (/ 1/2 y)) (+ (* (/ 1/2 y) 0) (* 0 y)))) into 0
2.404 * [taylor]: Taking taylor expansion of 0 in y
2.404 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.405 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.406 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.407 * [backup-simplify]: Simplify (+ 0 0) into 0
2.407 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 y)) into (/ -1/8 (pow y 3))
2.408 * [backup-simplify]: Simplify (+ (* y (/ -1/8 (pow y 3))) (+ (* 0 0) (+ (* (/ 1/2 y) (/ 1/2 y)) (+ (* 0 0) (* (/ -1/8 (pow y 3)) y))))) into 0
2.408 * [taylor]: Taking taylor expansion of 0 in y
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
2.408 * [backup-simplify]: Simplify (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) into (pow (hypot (/ 1 x) (/ 1 y)) 2)
2.408 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in (x y) around 0
2.408 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y
2.408 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
2.409 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.409 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
2.409 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.409 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.409 * [taylor]: Taking taylor expansion of x in y
2.409 * [backup-simplify]: Simplify x into x
2.409 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.409 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.409 * [taylor]: Taking taylor expansion of x in y
2.409 * [backup-simplify]: Simplify x into x
2.409 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.409 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
2.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.409 * [taylor]: Taking taylor expansion of y in y
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify 1 into 1
2.409 * [backup-simplify]: Simplify (/ 1 1) into 1
2.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.409 * [taylor]: Taking taylor expansion of y in y
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify 1 into 1
2.409 * [backup-simplify]: Simplify (/ 1 1) into 1
2.410 * [backup-simplify]: Simplify (* 1 1) into 1
2.410 * [backup-simplify]: Simplify (+ 0 1) into 1
2.410 * [backup-simplify]: Simplify (sqrt 1) into 1
2.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.412 * [backup-simplify]: Simplify (+ 0 0) into 0
2.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.412 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x
2.412 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.412 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.412 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.412 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.412 * [taylor]: Taking taylor expansion of x in x
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 1 into 1
2.413 * [backup-simplify]: Simplify (/ 1 1) into 1
2.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.413 * [taylor]: Taking taylor expansion of x in x
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 1 into 1
2.413 * [backup-simplify]: Simplify (/ 1 1) into 1
2.413 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.413 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.413 * [taylor]: Taking taylor expansion of y in x
2.413 * [backup-simplify]: Simplify y into y
2.413 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.413 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.413 * [taylor]: Taking taylor expansion of y in x
2.413 * [backup-simplify]: Simplify y into y
2.413 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.413 * [backup-simplify]: Simplify (* 1 1) into 1
2.414 * [backup-simplify]: Simplify (+ 1 0) into 1
2.414 * [backup-simplify]: Simplify (sqrt 1) into 1
2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.415 * [backup-simplify]: Simplify (+ 0 0) into 0
2.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.416 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x
2.416 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.416 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.416 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.416 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.416 * [taylor]: Taking taylor expansion of x in x
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 1 into 1
2.416 * [backup-simplify]: Simplify (/ 1 1) into 1
2.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.416 * [taylor]: Taking taylor expansion of x in x
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 1 into 1
2.417 * [backup-simplify]: Simplify (/ 1 1) into 1
2.417 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.417 * [taylor]: Taking taylor expansion of y in x
2.417 * [backup-simplify]: Simplify y into y
2.417 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.417 * [taylor]: Taking taylor expansion of y in x
2.417 * [backup-simplify]: Simplify y into y
2.417 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.417 * [backup-simplify]: Simplify (* 1 1) into 1
2.417 * [backup-simplify]: Simplify (+ 1 0) into 1
2.418 * [backup-simplify]: Simplify (sqrt 1) into 1
2.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.419 * [backup-simplify]: Simplify (+ 0 0) into 0
2.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.420 * [backup-simplify]: Simplify (* 1 1) into 1
2.420 * [taylor]: Taking taylor expansion of 1 in y
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.420 * [taylor]: Taking taylor expansion of 0 in y
2.420 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.422 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
2.422 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.427 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.428 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
2.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.428 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.428 * [taylor]: Taking taylor expansion of y in y
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [backup-simplify]: Simplify (* 1 1) into 1
2.428 * [backup-simplify]: Simplify (/ 1 1) into 1
2.429 * [backup-simplify]: Simplify 1 into 1
2.429 * [backup-simplify]: Simplify 1 into 1
2.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.431 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
2.431 * [backup-simplify]: Simplify (+ 0 0) into 0
2.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
2.432 * [taylor]: Taking taylor expansion of 0 in y
2.432 * [backup-simplify]: Simplify 0 into 0
2.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.435 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.435 * [backup-simplify]: Simplify (+ 0 0) into 0
2.436 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
2.437 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
2.437 * [taylor]: Taking taylor expansion of 0 in y
2.437 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.438 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
2.439 * [backup-simplify]: Simplify (* (hypot (/ 1 (- x)) (/ 1 (- y))) (hypot (/ 1 (- x)) (/ 1 (- y)))) into (pow (hypot (/ -1 x) (/ -1 y)) 2)
2.439 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in (x y) around 0
2.439 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y
2.439 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
2.439 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.439 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
2.439 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.439 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.439 * [taylor]: Taking taylor expansion of -1 in y
2.439 * [backup-simplify]: Simplify -1 into -1
2.439 * [taylor]: Taking taylor expansion of x in y
2.439 * [backup-simplify]: Simplify x into x
2.439 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.439 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.439 * [taylor]: Taking taylor expansion of -1 in y
2.439 * [backup-simplify]: Simplify -1 into -1
2.439 * [taylor]: Taking taylor expansion of x in y
2.439 * [backup-simplify]: Simplify x into x
2.439 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.439 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
2.439 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.439 * [taylor]: Taking taylor expansion of -1 in y
2.439 * [backup-simplify]: Simplify -1 into -1
2.439 * [taylor]: Taking taylor expansion of y in y
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify 1 into 1
2.439 * [backup-simplify]: Simplify (/ -1 1) into -1
2.440 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.440 * [taylor]: Taking taylor expansion of -1 in y
2.440 * [backup-simplify]: Simplify -1 into -1
2.440 * [taylor]: Taking taylor expansion of y in y
2.440 * [backup-simplify]: Simplify 0 into 0
2.440 * [backup-simplify]: Simplify 1 into 1
2.440 * [backup-simplify]: Simplify (/ -1 1) into -1
2.440 * [backup-simplify]: Simplify (* -1 -1) into 1
2.441 * [backup-simplify]: Simplify (+ 0 1) into 1
2.441 * [backup-simplify]: Simplify (sqrt 1) into 1
2.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.442 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.443 * [backup-simplify]: Simplify (+ 0 0) into 0
2.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.443 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x
2.443 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.443 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.443 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.443 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.443 * [taylor]: Taking taylor expansion of -1 in x
2.443 * [backup-simplify]: Simplify -1 into -1
2.443 * [taylor]: Taking taylor expansion of x in x
2.443 * [backup-simplify]: Simplify 0 into 0
2.443 * [backup-simplify]: Simplify 1 into 1
2.444 * [backup-simplify]: Simplify (/ -1 1) into -1
2.444 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.444 * [taylor]: Taking taylor expansion of -1 in x
2.444 * [backup-simplify]: Simplify -1 into -1
2.444 * [taylor]: Taking taylor expansion of x in x
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 1 into 1
2.444 * [backup-simplify]: Simplify (/ -1 1) into -1
2.444 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.444 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.444 * [taylor]: Taking taylor expansion of -1 in x
2.444 * [backup-simplify]: Simplify -1 into -1
2.444 * [taylor]: Taking taylor expansion of y in x
2.444 * [backup-simplify]: Simplify y into y
2.444 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.444 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.444 * [taylor]: Taking taylor expansion of -1 in x
2.444 * [backup-simplify]: Simplify -1 into -1
2.444 * [taylor]: Taking taylor expansion of y in x
2.444 * [backup-simplify]: Simplify y into y
2.444 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.444 * [backup-simplify]: Simplify (* -1 -1) into 1
2.445 * [backup-simplify]: Simplify (+ 1 0) into 1
2.445 * [backup-simplify]: Simplify (sqrt 1) into 1
2.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.446 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.447 * [backup-simplify]: Simplify (+ 0 0) into 0
2.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.447 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x
2.448 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.448 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.448 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.448 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.448 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.448 * [taylor]: Taking taylor expansion of -1 in x
2.448 * [backup-simplify]: Simplify -1 into -1
2.448 * [taylor]: Taking taylor expansion of x in x
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 1 into 1
2.448 * [backup-simplify]: Simplify (/ -1 1) into -1
2.448 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.448 * [taylor]: Taking taylor expansion of -1 in x
2.448 * [backup-simplify]: Simplify -1 into -1
2.448 * [taylor]: Taking taylor expansion of x in x
2.448 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 1 into 1
2.449 * [backup-simplify]: Simplify (/ -1 1) into -1
2.449 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.449 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.449 * [taylor]: Taking taylor expansion of -1 in x
2.449 * [backup-simplify]: Simplify -1 into -1
2.449 * [taylor]: Taking taylor expansion of y in x
2.449 * [backup-simplify]: Simplify y into y
2.449 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.449 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.449 * [taylor]: Taking taylor expansion of -1 in x
2.449 * [backup-simplify]: Simplify -1 into -1
2.449 * [taylor]: Taking taylor expansion of y in x
2.449 * [backup-simplify]: Simplify y into y
2.449 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.450 * [backup-simplify]: Simplify (* -1 -1) into 1
2.450 * [backup-simplify]: Simplify (+ 1 0) into 1
2.450 * [backup-simplify]: Simplify (sqrt 1) into 1
2.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.453 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.453 * [backup-simplify]: Simplify (+ 0 0) into 0
2.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.454 * [backup-simplify]: Simplify (* 1 1) into 1
2.454 * [taylor]: Taking taylor expansion of 1 in y
2.454 * [backup-simplify]: Simplify 1 into 1
2.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.455 * [taylor]: Taking taylor expansion of 0 in y
2.455 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.457 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.458 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
2.458 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.459 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.460 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
2.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.460 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.460 * [taylor]: Taking taylor expansion of y in y
2.460 * [backup-simplify]: Simplify 0 into 0
2.460 * [backup-simplify]: Simplify 1 into 1
2.460 * [backup-simplify]: Simplify (* 1 1) into 1
2.461 * [backup-simplify]: Simplify (/ 1 1) into 1
2.461 * [backup-simplify]: Simplify 1 into 1
2.461 * [backup-simplify]: Simplify 1 into 1
2.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.464 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.464 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.464 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.464 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
2.464 * [backup-simplify]: Simplify (+ 0 0) into 0
2.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
2.466 * [taylor]: Taking taylor expansion of 0 in y
2.466 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.471 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
2.471 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.471 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.471 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
2.472 * [backup-simplify]: Simplify (+ 0 0) into 0
2.473 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
2.474 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
2.474 * [taylor]: Taking taylor expansion of 0 in y
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
2.477 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
2.477 * [backup-simplify]: Simplify (hypot x y) into (hypot x y)
2.477 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0
2.477 * [taylor]: Taking taylor expansion of (hypot x y) in y
2.477 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.477 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
2.477 * [taylor]: Taking taylor expansion of (* x x) in y
2.477 * [taylor]: Taking taylor expansion of x in y
2.477 * [backup-simplify]: Simplify x into x
2.477 * [taylor]: Taking taylor expansion of x in y
2.477 * [backup-simplify]: Simplify x into x
2.477 * [taylor]: Taking taylor expansion of (* y y) in y
2.477 * [taylor]: Taking taylor expansion of y in y
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [taylor]: Taking taylor expansion of y in y
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.478 * [backup-simplify]: Simplify (* 0 0) into 0
2.478 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.478 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.478 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.479 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.479 * [backup-simplify]: Simplify (+ 0 0) into 0
2.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.479 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.479 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.479 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.480 * [taylor]: Taking taylor expansion of (* x x) in x
2.480 * [taylor]: Taking taylor expansion of x in x
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify 1 into 1
2.480 * [taylor]: Taking taylor expansion of x in x
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify 1 into 1
2.480 * [taylor]: Taking taylor expansion of (* y y) in x
2.480 * [taylor]: Taking taylor expansion of y in x
2.480 * [backup-simplify]: Simplify y into y
2.480 * [taylor]: Taking taylor expansion of y in x
2.480 * [backup-simplify]: Simplify y into y
2.480 * [backup-simplify]: Simplify (* 0 0) into 0
2.480 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.480 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.481 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.481 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.481 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.482 * [backup-simplify]: Simplify (+ 0 0) into 0
2.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.482 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.482 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.482 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.482 * [taylor]: Taking taylor expansion of (* x x) in x
2.482 * [taylor]: Taking taylor expansion of x in x
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 1 into 1
2.482 * [taylor]: Taking taylor expansion of x in x
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 1 into 1
2.482 * [taylor]: Taking taylor expansion of (* y y) in x
2.482 * [taylor]: Taking taylor expansion of y in x
2.482 * [backup-simplify]: Simplify y into y
2.482 * [taylor]: Taking taylor expansion of y in x
2.482 * [backup-simplify]: Simplify y into y
2.483 * [backup-simplify]: Simplify (* 0 0) into 0
2.483 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.483 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.483 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.484 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.484 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.484 * [backup-simplify]: Simplify (+ 0 0) into 0
2.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.484 * [taylor]: Taking taylor expansion of y in y
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 1 into 1
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [taylor]: Taking taylor expansion of 0 in y
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 1 into 1
2.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.486 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.486 * [backup-simplify]: Simplify (+ 1 0) into 1
2.487 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.487 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.487 * [taylor]: Taking taylor expansion of 1/2 in y
2.487 * [backup-simplify]: Simplify 1/2 into 1/2
2.487 * [taylor]: Taking taylor expansion of y in y
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify 1 into 1
2.487 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.490 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.491 * [backup-simplify]: Simplify (+ 0 0) into 0
2.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.491 * [taylor]: Taking taylor expansion of 0 in y
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.492 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y))
2.493 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0
2.493 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
2.493 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.493 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
2.493 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.493 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.493 * [taylor]: Taking taylor expansion of x in y
2.493 * [backup-simplify]: Simplify x into x
2.493 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.493 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.493 * [taylor]: Taking taylor expansion of x in y
2.493 * [backup-simplify]: Simplify x into x
2.493 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.493 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
2.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.493 * [taylor]: Taking taylor expansion of y in y
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 1 into 1
2.494 * [backup-simplify]: Simplify (/ 1 1) into 1
2.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.494 * [taylor]: Taking taylor expansion of y in y
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 1 into 1
2.494 * [backup-simplify]: Simplify (/ 1 1) into 1
2.494 * [backup-simplify]: Simplify (* 1 1) into 1
2.495 * [backup-simplify]: Simplify (+ 0 1) into 1
2.495 * [backup-simplify]: Simplify (sqrt 1) into 1
2.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.497 * [backup-simplify]: Simplify (+ 0 0) into 0
2.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.498 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.498 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.498 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.498 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.498 * [taylor]: Taking taylor expansion of x in x
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 1 into 1
2.499 * [backup-simplify]: Simplify (/ 1 1) into 1
2.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.499 * [taylor]: Taking taylor expansion of x in x
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 1 into 1
2.499 * [backup-simplify]: Simplify (/ 1 1) into 1
2.499 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.499 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.499 * [taylor]: Taking taylor expansion of y in x
2.499 * [backup-simplify]: Simplify y into y
2.500 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.500 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.500 * [taylor]: Taking taylor expansion of y in x
2.500 * [backup-simplify]: Simplify y into y
2.500 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.500 * [backup-simplify]: Simplify (* 1 1) into 1
2.500 * [backup-simplify]: Simplify (+ 1 0) into 1
2.501 * [backup-simplify]: Simplify (sqrt 1) into 1
2.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.503 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.504 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.504 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.504 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.504 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.504 * [taylor]: Taking taylor expansion of x in x
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (/ 1 1) into 1
2.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.505 * [taylor]: Taking taylor expansion of x in x
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 1 into 1
2.505 * [backup-simplify]: Simplify (/ 1 1) into 1
2.505 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.505 * [taylor]: Taking taylor expansion of y in x
2.505 * [backup-simplify]: Simplify y into y
2.505 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.505 * [taylor]: Taking taylor expansion of y in x
2.505 * [backup-simplify]: Simplify y into y
2.505 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.506 * [backup-simplify]: Simplify (* 1 1) into 1
2.506 * [backup-simplify]: Simplify (+ 1 0) into 1
2.506 * [backup-simplify]: Simplify (sqrt 1) into 1
2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.509 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.509 * [taylor]: Taking taylor expansion of 1 in y
2.510 * [backup-simplify]: Simplify 1 into 1
2.510 * [taylor]: Taking taylor expansion of 0 in y
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 1 into 1
2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.512 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
2.513 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.514 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.514 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.514 * [taylor]: Taking taylor expansion of 1/2 in y
2.514 * [backup-simplify]: Simplify 1/2 into 1/2
2.514 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.514 * [taylor]: Taking taylor expansion of y in y
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (* 1 1) into 1
2.515 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.519 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
2.520 * [backup-simplify]: Simplify (+ 0 0) into 0
2.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.520 * [taylor]: Taking taylor expansion of 0 in y
2.520 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.522 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.523 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y))
2.523 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0
2.523 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
2.523 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.523 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
2.523 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.523 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.523 * [taylor]: Taking taylor expansion of -1 in y
2.523 * [backup-simplify]: Simplify -1 into -1
2.523 * [taylor]: Taking taylor expansion of x in y
2.523 * [backup-simplify]: Simplify x into x
2.523 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.523 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.523 * [taylor]: Taking taylor expansion of -1 in y
2.523 * [backup-simplify]: Simplify -1 into -1
2.523 * [taylor]: Taking taylor expansion of x in y
2.523 * [backup-simplify]: Simplify x into x
2.524 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.524 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
2.524 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.524 * [taylor]: Taking taylor expansion of -1 in y
2.524 * [backup-simplify]: Simplify -1 into -1
2.524 * [taylor]: Taking taylor expansion of y in y
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 1 into 1
2.524 * [backup-simplify]: Simplify (/ -1 1) into -1
2.524 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.524 * [taylor]: Taking taylor expansion of -1 in y
2.524 * [backup-simplify]: Simplify -1 into -1
2.524 * [taylor]: Taking taylor expansion of y in y
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 1 into 1
2.525 * [backup-simplify]: Simplify (/ -1 1) into -1
2.525 * [backup-simplify]: Simplify (* -1 -1) into 1
2.525 * [backup-simplify]: Simplify (+ 0 1) into 1
2.526 * [backup-simplify]: Simplify (sqrt 1) into 1
2.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.528 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.528 * [backup-simplify]: Simplify (+ 0 0) into 0
2.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.529 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.529 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.529 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.530 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.530 * [taylor]: Taking taylor expansion of -1 in x
2.530 * [backup-simplify]: Simplify -1 into -1
2.530 * [taylor]: Taking taylor expansion of x in x
2.530 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify 1 into 1
2.530 * [backup-simplify]: Simplify (/ -1 1) into -1
2.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.530 * [taylor]: Taking taylor expansion of -1 in x
2.530 * [backup-simplify]: Simplify -1 into -1
2.530 * [taylor]: Taking taylor expansion of x in x
2.530 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify 1 into 1
2.531 * [backup-simplify]: Simplify (/ -1 1) into -1
2.531 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.531 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.531 * [taylor]: Taking taylor expansion of -1 in x
2.531 * [backup-simplify]: Simplify -1 into -1
2.531 * [taylor]: Taking taylor expansion of y in x
2.531 * [backup-simplify]: Simplify y into y
2.531 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.531 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.531 * [taylor]: Taking taylor expansion of -1 in x
2.531 * [backup-simplify]: Simplify -1 into -1
2.531 * [taylor]: Taking taylor expansion of y in x
2.531 * [backup-simplify]: Simplify y into y
2.531 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.532 * [backup-simplify]: Simplify (* -1 -1) into 1
2.532 * [backup-simplify]: Simplify (+ 1 0) into 1
2.532 * [backup-simplify]: Simplify (sqrt 1) into 1
2.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.534 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.534 * [backup-simplify]: Simplify (+ 0 0) into 0
2.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.535 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.535 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.535 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.535 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.535 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.536 * [taylor]: Taking taylor expansion of -1 in x
2.536 * [backup-simplify]: Simplify -1 into -1
2.536 * [taylor]: Taking taylor expansion of x in x
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 1 into 1
2.536 * [backup-simplify]: Simplify (/ -1 1) into -1
2.536 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.536 * [taylor]: Taking taylor expansion of -1 in x
2.536 * [backup-simplify]: Simplify -1 into -1
2.536 * [taylor]: Taking taylor expansion of x in x
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 1 into 1
2.537 * [backup-simplify]: Simplify (/ -1 1) into -1
2.537 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.537 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.537 * [taylor]: Taking taylor expansion of -1 in x
2.537 * [backup-simplify]: Simplify -1 into -1
2.537 * [taylor]: Taking taylor expansion of y in x
2.537 * [backup-simplify]: Simplify y into y
2.537 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.537 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.537 * [taylor]: Taking taylor expansion of -1 in x
2.537 * [backup-simplify]: Simplify -1 into -1
2.537 * [taylor]: Taking taylor expansion of y in x
2.537 * [backup-simplify]: Simplify y into y
2.537 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.538 * [backup-simplify]: Simplify (* -1 -1) into 1
2.538 * [backup-simplify]: Simplify (+ 1 0) into 1
2.538 * [backup-simplify]: Simplify (sqrt 1) into 1
2.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.540 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.541 * [backup-simplify]: Simplify (+ 0 0) into 0
2.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.542 * [taylor]: Taking taylor expansion of 1 in y
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [taylor]: Taking taylor expansion of 0 in y
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.545 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.545 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
2.545 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.547 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.547 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.547 * [taylor]: Taking taylor expansion of 1/2 in y
2.547 * [backup-simplify]: Simplify 1/2 into 1/2
2.547 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.547 * [taylor]: Taking taylor expansion of y in y
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 1 into 1
2.547 * [backup-simplify]: Simplify (* 1 1) into 1
2.548 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 0 into 0
2.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.552 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.552 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.552 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.552 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
2.553 * [backup-simplify]: Simplify (+ 0 0) into 0
2.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.553 * [taylor]: Taking taylor expansion of 0 in y
2.553 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.556 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
2.556 * [backup-simplify]: Simplify (hypot x y) into (hypot x y)
2.556 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0
2.556 * [taylor]: Taking taylor expansion of (hypot x y) in y
2.556 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.556 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
2.556 * [taylor]: Taking taylor expansion of (* x x) in y
2.556 * [taylor]: Taking taylor expansion of x in y
2.556 * [backup-simplify]: Simplify x into x
2.556 * [taylor]: Taking taylor expansion of x in y
2.556 * [backup-simplify]: Simplify x into x
2.556 * [taylor]: Taking taylor expansion of (* y y) in y
2.556 * [taylor]: Taking taylor expansion of y in y
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [taylor]: Taking taylor expansion of y in y
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.561 * [backup-simplify]: Simplify (* 0 0) into 0
2.561 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.561 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.561 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.562 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.562 * [backup-simplify]: Simplify (+ 0 0) into 0
2.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.563 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.563 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.563 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.563 * [taylor]: Taking taylor expansion of (* x x) in x
2.563 * [taylor]: Taking taylor expansion of x in x
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 1 into 1
2.563 * [taylor]: Taking taylor expansion of x in x
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 1 into 1
2.563 * [taylor]: Taking taylor expansion of (* y y) in x
2.563 * [taylor]: Taking taylor expansion of y in x
2.563 * [backup-simplify]: Simplify y into y
2.563 * [taylor]: Taking taylor expansion of y in x
2.563 * [backup-simplify]: Simplify y into y
2.563 * [backup-simplify]: Simplify (* 0 0) into 0
2.563 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.563 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.563 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.564 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.564 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.564 * [backup-simplify]: Simplify (+ 0 0) into 0
2.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.564 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.564 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.564 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.564 * [taylor]: Taking taylor expansion of (* x x) in x
2.564 * [taylor]: Taking taylor expansion of x in x
2.564 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify 1 into 1
2.564 * [taylor]: Taking taylor expansion of x in x
2.564 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify 1 into 1
2.564 * [taylor]: Taking taylor expansion of (* y y) in x
2.564 * [taylor]: Taking taylor expansion of y in x
2.564 * [backup-simplify]: Simplify y into y
2.564 * [taylor]: Taking taylor expansion of y in x
2.564 * [backup-simplify]: Simplify y into y
2.565 * [backup-simplify]: Simplify (* 0 0) into 0
2.565 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.565 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.565 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.565 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.565 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.566 * [backup-simplify]: Simplify (+ 0 0) into 0
2.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.566 * [taylor]: Taking taylor expansion of y in y
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify 1 into 1
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [taylor]: Taking taylor expansion of 0 in y
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify 1 into 1
2.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.567 * [backup-simplify]: Simplify (+ 1 0) into 1
2.567 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.567 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.567 * [taylor]: Taking taylor expansion of 1/2 in y
2.567 * [backup-simplify]: Simplify 1/2 into 1/2
2.567 * [taylor]: Taking taylor expansion of y in y
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify 1 into 1
2.568 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify 0 into 0
2.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.569 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.570 * [backup-simplify]: Simplify (+ 0 0) into 0
2.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.570 * [taylor]: Taking taylor expansion of 0 in y
2.570 * [backup-simplify]: Simplify 0 into 0
2.570 * [backup-simplify]: Simplify 0 into 0
2.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.570 * [backup-simplify]: Simplify 0 into 0
2.570 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.571 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y))
2.571 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0
2.571 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
2.571 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.571 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
2.571 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.571 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.571 * [taylor]: Taking taylor expansion of x in y
2.571 * [backup-simplify]: Simplify x into x
2.571 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.571 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.571 * [taylor]: Taking taylor expansion of x in y
2.571 * [backup-simplify]: Simplify x into x
2.571 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.571 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
2.571 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.571 * [taylor]: Taking taylor expansion of y in y
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 1 into 1
2.571 * [backup-simplify]: Simplify (/ 1 1) into 1
2.571 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.571 * [taylor]: Taking taylor expansion of y in y
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (/ 1 1) into 1
2.572 * [backup-simplify]: Simplify (* 1 1) into 1
2.572 * [backup-simplify]: Simplify (+ 0 1) into 1
2.572 * [backup-simplify]: Simplify (sqrt 1) into 1
2.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.574 * [backup-simplify]: Simplify (+ 0 0) into 0
2.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.574 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.574 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.574 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.574 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.575 * [taylor]: Taking taylor expansion of x in x
2.575 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify 1 into 1
2.575 * [backup-simplify]: Simplify (/ 1 1) into 1
2.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.575 * [taylor]: Taking taylor expansion of x in x
2.575 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify 1 into 1
2.575 * [backup-simplify]: Simplify (/ 1 1) into 1
2.575 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.575 * [taylor]: Taking taylor expansion of y in x
2.575 * [backup-simplify]: Simplify y into y
2.575 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.575 * [taylor]: Taking taylor expansion of y in x
2.575 * [backup-simplify]: Simplify y into y
2.575 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.576 * [backup-simplify]: Simplify (* 1 1) into 1
2.576 * [backup-simplify]: Simplify (+ 1 0) into 1
2.576 * [backup-simplify]: Simplify (sqrt 1) into 1
2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.577 * [backup-simplify]: Simplify (+ 0 0) into 0
2.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.578 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.578 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.578 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.578 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.578 * [taylor]: Taking taylor expansion of x in x
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 1 into 1
2.578 * [backup-simplify]: Simplify (/ 1 1) into 1
2.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.578 * [taylor]: Taking taylor expansion of x in x
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 1 into 1
2.579 * [backup-simplify]: Simplify (/ 1 1) into 1
2.579 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.579 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.579 * [taylor]: Taking taylor expansion of y in x
2.579 * [backup-simplify]: Simplify y into y
2.579 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.579 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.579 * [taylor]: Taking taylor expansion of y in x
2.579 * [backup-simplify]: Simplify y into y
2.579 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.579 * [backup-simplify]: Simplify (* 1 1) into 1
2.579 * [backup-simplify]: Simplify (+ 1 0) into 1
2.580 * [backup-simplify]: Simplify (sqrt 1) into 1
2.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.581 * [backup-simplify]: Simplify (+ 0 0) into 0
2.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.582 * [taylor]: Taking taylor expansion of 1 in y
2.582 * [backup-simplify]: Simplify 1 into 1
2.582 * [taylor]: Taking taylor expansion of 0 in y
2.582 * [backup-simplify]: Simplify 0 into 0
2.582 * [backup-simplify]: Simplify 1 into 1
2.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.583 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
2.583 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.584 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.584 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.584 * [taylor]: Taking taylor expansion of 1/2 in y
2.584 * [backup-simplify]: Simplify 1/2 into 1/2
2.584 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.584 * [taylor]: Taking taylor expansion of y in y
2.584 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify 1 into 1
2.585 * [backup-simplify]: Simplify (* 1 1) into 1
2.585 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.588 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
2.588 * [backup-simplify]: Simplify (+ 0 0) into 0
2.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.588 * [taylor]: Taking taylor expansion of 0 in y
2.588 * [backup-simplify]: Simplify 0 into 0
2.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.590 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.590 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y))
2.590 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0
2.590 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
2.590 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.590 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
2.590 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.590 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.590 * [taylor]: Taking taylor expansion of -1 in y
2.590 * [backup-simplify]: Simplify -1 into -1
2.590 * [taylor]: Taking taylor expansion of x in y
2.590 * [backup-simplify]: Simplify x into x
2.590 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.590 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.590 * [taylor]: Taking taylor expansion of -1 in y
2.590 * [backup-simplify]: Simplify -1 into -1
2.590 * [taylor]: Taking taylor expansion of x in y
2.590 * [backup-simplify]: Simplify x into x
2.590 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.590 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
2.590 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.590 * [taylor]: Taking taylor expansion of -1 in y
2.590 * [backup-simplify]: Simplify -1 into -1
2.590 * [taylor]: Taking taylor expansion of y in y
2.590 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify 1 into 1
2.591 * [backup-simplify]: Simplify (/ -1 1) into -1
2.591 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.591 * [taylor]: Taking taylor expansion of -1 in y
2.591 * [backup-simplify]: Simplify -1 into -1
2.591 * [taylor]: Taking taylor expansion of y in y
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 1 into 1
2.591 * [backup-simplify]: Simplify (/ -1 1) into -1
2.592 * [backup-simplify]: Simplify (* -1 -1) into 1
2.592 * [backup-simplify]: Simplify (+ 0 1) into 1
2.592 * [backup-simplify]: Simplify (sqrt 1) into 1
2.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.593 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.594 * [backup-simplify]: Simplify (+ 0 0) into 0
2.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.594 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.594 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.594 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.594 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.594 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.594 * [taylor]: Taking taylor expansion of -1 in x
2.594 * [backup-simplify]: Simplify -1 into -1
2.594 * [taylor]: Taking taylor expansion of x in x
2.594 * [backup-simplify]: Simplify 0 into 0
2.594 * [backup-simplify]: Simplify 1 into 1
2.595 * [backup-simplify]: Simplify (/ -1 1) into -1
2.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.595 * [taylor]: Taking taylor expansion of -1 in x
2.595 * [backup-simplify]: Simplify -1 into -1
2.595 * [taylor]: Taking taylor expansion of x in x
2.595 * [backup-simplify]: Simplify 0 into 0
2.595 * [backup-simplify]: Simplify 1 into 1
2.595 * [backup-simplify]: Simplify (/ -1 1) into -1
2.595 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.595 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.595 * [taylor]: Taking taylor expansion of -1 in x
2.595 * [backup-simplify]: Simplify -1 into -1
2.595 * [taylor]: Taking taylor expansion of y in x
2.595 * [backup-simplify]: Simplify y into y
2.595 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.595 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.595 * [taylor]: Taking taylor expansion of -1 in x
2.595 * [backup-simplify]: Simplify -1 into -1
2.595 * [taylor]: Taking taylor expansion of y in x
2.595 * [backup-simplify]: Simplify y into y
2.595 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.596 * [backup-simplify]: Simplify (* -1 -1) into 1
2.596 * [backup-simplify]: Simplify (+ 1 0) into 1
2.596 * [backup-simplify]: Simplify (sqrt 1) into 1
2.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.597 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.598 * [backup-simplify]: Simplify (+ 0 0) into 0
2.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.598 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.598 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.598 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.598 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.598 * [taylor]: Taking taylor expansion of -1 in x
2.598 * [backup-simplify]: Simplify -1 into -1
2.598 * [taylor]: Taking taylor expansion of x in x
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify 1 into 1
2.599 * [backup-simplify]: Simplify (/ -1 1) into -1
2.599 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.599 * [taylor]: Taking taylor expansion of -1 in x
2.599 * [backup-simplify]: Simplify -1 into -1
2.599 * [taylor]: Taking taylor expansion of x in x
2.599 * [backup-simplify]: Simplify 0 into 0
2.599 * [backup-simplify]: Simplify 1 into 1
2.599 * [backup-simplify]: Simplify (/ -1 1) into -1
2.599 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.599 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.599 * [taylor]: Taking taylor expansion of -1 in x
2.599 * [backup-simplify]: Simplify -1 into -1
2.599 * [taylor]: Taking taylor expansion of y in x
2.599 * [backup-simplify]: Simplify y into y
2.599 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.599 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.599 * [taylor]: Taking taylor expansion of -1 in x
2.599 * [backup-simplify]: Simplify -1 into -1
2.599 * [taylor]: Taking taylor expansion of y in x
2.599 * [backup-simplify]: Simplify y into y
2.599 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.600 * [backup-simplify]: Simplify (* -1 -1) into 1
2.600 * [backup-simplify]: Simplify (+ 1 0) into 1
2.600 * [backup-simplify]: Simplify (sqrt 1) into 1
2.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.601 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.602 * [backup-simplify]: Simplify (+ 0 0) into 0
2.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.602 * [taylor]: Taking taylor expansion of 1 in y
2.602 * [backup-simplify]: Simplify 1 into 1
2.602 * [taylor]: Taking taylor expansion of 0 in y
2.602 * [backup-simplify]: Simplify 0 into 0
2.602 * [backup-simplify]: Simplify 1 into 1
2.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.604 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.604 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
2.604 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.605 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.605 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.605 * [taylor]: Taking taylor expansion of 1/2 in y
2.605 * [backup-simplify]: Simplify 1/2 into 1/2
2.605 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.605 * [taylor]: Taking taylor expansion of y in y
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify 1 into 1
2.605 * [backup-simplify]: Simplify (* 1 1) into 1
2.606 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.608 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.608 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.608 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.609 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
2.609 * [backup-simplify]: Simplify (+ 0 0) into 0
2.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.609 * [taylor]: Taking taylor expansion of 0 in y
2.609 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.611 * [backup-simplify]: Simplify 0 into 0
2.611 * [backup-simplify]: Simplify 0 into 0
2.611 * [backup-simplify]: Simplify 0 into 0
2.611 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.611 * * * [progress]: simplifying candidates
2.612 * [simplify]: Simplifying:
  (expm1 (* (hypot x y) (hypot x y)))
  (log1p (* (hypot x y) (hypot x y)))
  (+ 1 1)
  (* (hypot x y) (hypot x y))
  (+ 1 1)
  (+ (log (hypot x y)) (log (hypot x y)))
  (log (* (hypot x y) (hypot x y)))
  (exp (* (hypot x y) (hypot x y)))
  (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)))
  (* (cbrt (* (hypot x y) (hypot x y))) (cbrt (* (hypot x y) (hypot x y))))
  (cbrt (* (hypot x y) (hypot x y)))
  (* (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))) (* (hypot x y) (hypot x y)))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (sqrt (* (hypot x y) (hypot x y)))
  (sqrt (* (hypot x y) (hypot x y)))
  (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y))))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (* (sqrt (hypot x y)) (sqrt (hypot x y)))
  (* (sqrt (hypot x y)) (sqrt (hypot x y)))
  (* 1 1)
  (* (hypot x y) (hypot x y))
  (* (sqrt (hypot x y)) (sqrt (hypot x y)))
  (* (sqrt (hypot x y)) (sqrt (hypot x y)))
  (* 2 1)
  (* (hypot x y) (* (cbrt (hypot x y)) (cbrt (hypot x y))))
  (* (hypot x y) (sqrt (hypot x y)))
  (* (hypot x y) 1)
  (* (cbrt (hypot x y)) (hypot x y))
  (* (sqrt (hypot x y)) (hypot x y))
  (* (hypot x y) (hypot x y))
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (+ (* x x) (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (* (* (hypot x y) (hypot x y)) (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (+ (* x x) (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (* (* (hypot x y) (hypot x y)) (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
2.612 * * [simplify]: Extracting # 0 : cost  0
2.612 * * [simplify]: Extracting # 1 : cost  0
2.612 * * [simplify]: Extracting # 2 : cost  0
2.612 * * [simplify]: Extracting # 3 : cost  0
2.613 * * [simplify]: Extracting # 4 : cost  0
2.613 * * [simplify]: iteration  0 :  44  enodes  (cost  423 )
2.623 * * [simplify]: Extracting # 0 : cost  0
2.623 * * [simplify]: Extracting # 1 : cost  0
2.623 * * [simplify]: Extracting # 2 : cost  0
2.623 * * [simplify]: iteration  1 :  81  enodes  (cost  367 )
2.641 * * [simplify]: Extracting # 0 : cost  0
2.642 * * [simplify]: Extracting # 1 : cost  0
2.642 * * [simplify]: Extracting # 2 : cost  0
2.642 * * [simplify]: Extracting # 3 : cost  0
2.642 * * [simplify]: Extracting # 4 : cost  0
2.642 * * [simplify]: iteration  2 :  198  enodes  (cost  315 )
2.743 * * [simplify]: Extracting # 0 : cost  0
2.744 * * [simplify]: Extracting # 1 : cost  0
2.745 * * [simplify]: Extracting # 2 : cost  0
2.745 * * [simplify]: Extracting # 3 : cost  0
2.746 * * [simplify]: Extracting # 4 : cost  0
2.746 * * [simplify]: iteration  3 :  468  enodes  (cost  289 )
3.102 * * [simplify]: Extracting # 0 : cost  0
3.104 * * [simplify]: Extracting # 1 : cost  0
3.105 * * [simplify]: Extracting # 2 : cost  0
3.107 * * [simplify]: Extracting # 3 : cost  0
3.108 * * [simplify]: Extracting # 4 : cost  0
3.109 * * [simplify]: iteration  4 :  1028  enodes  (cost  284 )
5.745 * * [simplify]: Extracting # 0 : cost  0
5.757 * * [simplify]: Extracting # 1 : cost  0
5.761 * * [simplify]: Extracting # 2 : cost  0
5.767 * * [simplify]: Extracting # 3 : cost  0
5.774 * * [simplify]: Extracting # 4 : cost  0
5.781 * * [simplify]: iteration  5 :  4995  enodes  (cost  266 )
8.822 * * [simplify]: Extracting # 0 : cost  0
8.828 * * [simplify]: Extracting # 1 : cost  0
8.832 * * [simplify]: iteration done:  5000  enodes  (cost  266 )
8.833 * [simplify]: Simplified to:
  (expm1 (pow (hypot x y) 2))
  (log1p (pow (hypot x y) 2))
  2
  (pow (hypot x y) 2)
  2
  (* 2 (log (hypot x y)))
  (* 2 (log (hypot x y)))
  (exp (pow (hypot x y) 2))
  (pow (hypot x y) 6)
  (* (cbrt (pow (hypot x y) 2)) (cbrt (pow (hypot x y) 2)))
  (cbrt (pow (hypot x y) 2))
  (pow (hypot x y) 6)
  (* (fma x x (* y y)) (fma x x (* y y)))
  (fabs (hypot x y))
  (fabs (hypot x y))
  (pow (cbrt (hypot x y)) 4)
  (pow (cbrt (hypot x y)) 2)
  (hypot x y)
  (hypot x y)
  1
  (pow (hypot x y) 2)
  (hypot x y)
  (hypot x y)
  2
  (pow (cbrt (hypot x y)) 5)
  (pow (sqrt (hypot x y)) 3)
  (hypot x y)
  (pow (cbrt (hypot x y)) 4)
  (pow (sqrt (hypot x y)) 3)
  (pow (hypot x y) 2)
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (fma x x (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (pow (cbrt (hypot x y)) 2)
  (cbrt (hypot x y))
  (pow (hypot x y) 3)
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (fma x x (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (pow (cbrt (hypot x y)) 2)
  (cbrt (hypot x y))
  (pow (hypot x y) 3)
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
  y
  x
  (- x)
  y
  x
  (- x)
8.833 * * * [progress]: adding candidates to table
8.986 * [progress]: [Phase 3 of 3] Extracting.
8.986 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (hypot x y) (hypot x y)))>)
8.987 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x)
8.987 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (hypot x y) (hypot x y)))>)
9.006 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (hypot x y) (hypot x y)))>)
9.016 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (hypot x y) (hypot x y)))>)
9.028 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (hypot x y) (hypot x y)))>)
9.048 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (hypot x y) (hypot x y)))>)
9.073 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
9.073 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
9.074 * * [simplify]: Extracting # 0 : cost  0
9.074 * * [simplify]: Extracting # 1 : cost  0
9.074 * * [simplify]: Extracting # 2 : cost  0
9.074 * * [simplify]: Extracting # 3 : cost  0
9.074 * * [simplify]: Extracting # 4 : cost  0
9.074 * * [simplify]: iteration  0 :  5  enodes  (cost  7 )
9.074 * * [simplify]: Extracting # 0 : cost  0
9.074 * * [simplify]: iteration  1 :  6  enodes  (cost  7 )
9.075 * * [simplify]: Extracting # 0 : cost  0
9.075 * * [simplify]: iteration done:  6  enodes  (cost  7 )
9.075 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
10.450 * [regime-testing]: Baseline error score: 0.008751093886735842
10.451 * [regime-testing]: Oracle error score: 0.004000500062507814
10.452 * [regime-testing]: End program error score: 0.008751093886735842