23.812 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.043 * * * [progress]: [2/2] Setting up program.
0.046 * [progress]: [Phase 2 of 3] Improving.
0.046 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
0.046 * * [simplify]: Extracting # 0 : cost  0
0.046 * * [simplify]: Extracting # 1 : cost  0
0.046 * * [simplify]: Extracting # 2 : cost  0
0.046 * * [simplify]: Extracting # 3 : cost  0
0.046 * * [simplify]: Extracting # 4 : cost  0
0.046 * * [simplify]: iteration  0 :  5  enodes  (cost  7 )
0.048 * * [simplify]: Extracting # 0 : cost  0
0.048 * * [simplify]: iteration  1 :  6  enodes  (cost  7 )
0.050 * * [simplify]: Extracting # 0 : cost  0
0.050 * * [simplify]: iteration done:  6  enodes  (cost  7 )
0.050 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
0.051 * * [progress]: iteration 1 / 4
0.051 * * * [progress]: picking best candidate
0.053 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y y)))>
0.053 * * * [progress]: localizing error
0.064 * * * [progress]: generating rewritten candidates
0.064 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.082 * * * [progress]: generating series expansions
0.082 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.082 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.082 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.082 * [taylor]: Taking taylor expansion of x in y
0.082 * [backup-simplify]: Simplify x into x
0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.082 * [taylor]: Taking taylor expansion of y in y
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.083 * [taylor]: Taking taylor expansion of y in x
0.083 * [backup-simplify]: Simplify y into y
0.083 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.083 * [taylor]: Taking taylor expansion of y in x
0.083 * [backup-simplify]: Simplify y into y
0.083 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.083 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.083 * [taylor]: Taking taylor expansion of y in y
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [taylor]: Taking taylor expansion of 0 in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (* 1 1) into 1
0.085 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.086 * [backup-simplify]: Simplify (+ 1 0) into 1
0.086 * [taylor]: Taking taylor expansion of 1 in y
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify (* 1 1) into 1
0.086 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.088 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.092 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [taylor]: Taking taylor expansion of 0 in y
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.093 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.093 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.093 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
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 (* 1 1) into 1
0.094 * [backup-simplify]: Simplify (/ 1 1) into 1
0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.095 * [taylor]: Taking taylor expansion of x in x
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 1 into 1
0.095 * [backup-simplify]: Simplify (* 1 1) into 1
0.095 * [backup-simplify]: Simplify (/ 1 1) into 1
0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.095 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.095 * [taylor]: Taking taylor expansion of y in x
0.095 * [backup-simplify]: Simplify y into y
0.096 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.096 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.096 * [taylor]: Taking taylor expansion of x in x
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.097 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.097 * [taylor]: Taking taylor expansion of y in x
0.097 * [backup-simplify]: Simplify y into y
0.097 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.097 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.098 * [backup-simplify]: Simplify (+ 1 0) into 1
0.098 * [taylor]: Taking taylor expansion of 1 in y
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.102 * [taylor]: Taking taylor expansion of y in y
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 1 into 1
0.102 * [backup-simplify]: Simplify (* 1 1) into 1
0.103 * [backup-simplify]: Simplify (/ 1 1) into 1
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [taylor]: Taking taylor expansion of 0 in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [taylor]: Taking taylor expansion of 0 in y
0.111 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.114 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.114 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.114 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.114 * [taylor]: Taking taylor expansion of x in y
0.114 * [backup-simplify]: Simplify x into x
0.114 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.115 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.115 * [taylor]: Taking taylor expansion of y in y
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (* 1 1) into 1
0.116 * [backup-simplify]: Simplify (/ 1 1) into 1
0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.116 * [taylor]: Taking taylor expansion of x in x
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (* 1 1) into 1
0.117 * [backup-simplify]: Simplify (/ 1 1) into 1
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.117 * [taylor]: Taking taylor expansion of y in x
0.117 * [backup-simplify]: Simplify y into y
0.117 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.117 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.118 * [taylor]: Taking taylor expansion of x in x
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (* 1 1) into 1
0.118 * [backup-simplify]: Simplify (/ 1 1) into 1
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.119 * [taylor]: Taking taylor expansion of y in x
0.119 * [backup-simplify]: Simplify y into y
0.119 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.119 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.119 * [backup-simplify]: Simplify (+ 1 0) into 1
0.119 * [taylor]: Taking taylor expansion of 1 in y
0.119 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [taylor]: Taking taylor expansion of 0 in y
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.122 * [taylor]: Taking taylor expansion of y in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (* 1 1) into 1
0.123 * [backup-simplify]: Simplify (/ 1 1) into 1
0.123 * [backup-simplify]: Simplify 1 into 1
0.123 * [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
0.133 * [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
0.133 * [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
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [taylor]: Taking taylor expansion of 0 in y
0.136 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.138 * * * [progress]: simplifying candidates
0.138 * [simplify]: Simplifying:
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.139 * * [simplify]: Extracting # 0 : cost  0
0.139 * * [simplify]: Extracting # 1 : cost  0
0.139 * * [simplify]: Extracting # 2 : cost  0
0.139 * * [simplify]: Extracting # 3 : cost  0
0.139 * * [simplify]: Extracting # 4 : cost  0
0.139 * * [simplify]: Extracting # 5 : cost  0
0.139 * * [simplify]: Extracting # 6 : cost  0
0.139 * * [simplify]: iteration  0 :  30  enodes  (cost  166 )
0.147 * * [simplify]: Extracting # 0 : cost  0
0.147 * * [simplify]: Extracting # 1 : cost  0
0.147 * * [simplify]: Extracting # 2 : cost  0
0.147 * * [simplify]: Extracting # 3 : cost  0
0.147 * * [simplify]: Extracting # 4 : cost  0
0.147 * * [simplify]: iteration  1 :  100  enodes  (cost  161 )
0.192 * * [simplify]: Extracting # 0 : cost  0
0.192 * * [simplify]: Extracting # 1 : cost  0
0.193 * * [simplify]: Extracting # 2 : cost  0
0.193 * * [simplify]: Extracting # 3 : cost  0
0.193 * * [simplify]: Extracting # 4 : cost  0
0.193 * * [simplify]: iteration  2 :  291  enodes  (cost  131 )
0.309 * * [simplify]: Extracting # 0 : cost  0
0.311 * * [simplify]: Extracting # 1 : cost  0
0.312 * * [simplify]: Extracting # 2 : cost  0
0.313 * * [simplify]: Extracting # 3 : cost  0
0.314 * * [simplify]: iteration  3 :  694  enodes  (cost  131 )
0.741 * * [simplify]: Extracting # 0 : cost  0
0.745 * * [simplify]: Extracting # 1 : cost  0
0.749 * * [simplify]: Extracting # 2 : cost  0
0.752 * * [simplify]: Extracting # 3 : cost  0
0.755 * * [simplify]: Extracting # 4 : cost  0
0.758 * * [simplify]: iteration  4 :  1837  enodes  (cost  131 )
1.930 * * [simplify]: Extracting # 0 : cost  0
1.942 * * [simplify]: Extracting # 1 : cost  0
1.953 * * [simplify]: Extracting # 2 : cost  0
1.963 * * [simplify]: Extracting # 3 : cost  0
1.974 * * [simplify]: Extracting # 4 : cost  0
1.984 * * [simplify]: iteration done:  5000  enodes  (cost  131 )
1.985 * [simplify]: Simplified to:
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
1.985 * * * [progress]: adding candidates to table
2.034 * * [progress]: iteration 2 / 4
2.034 * * * [progress]: picking best candidate
2.037 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>
2.037 * * * [progress]: localizing error
2.052 * * * [progress]: generating rewritten candidates
2.052 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.069 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.085 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.143 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
2.157 * * * [progress]: generating series expansions
2.157 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.158 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
2.158 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.158 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.158 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.158 * [taylor]: Taking taylor expansion of x in y
2.158 * [backup-simplify]: Simplify x into x
2.158 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.158 * [taylor]: Taking taylor expansion of y in y
2.158 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify 1 into 1
2.158 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.158 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.159 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.159 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.159 * [backup-simplify]: Simplify (+ 0 0) into 0
2.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.160 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.160 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.160 * [taylor]: Taking taylor expansion of x in x
2.160 * [backup-simplify]: Simplify 0 into 0
2.160 * [backup-simplify]: Simplify 1 into 1
2.160 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.160 * [taylor]: Taking taylor expansion of y in x
2.160 * [backup-simplify]: Simplify y into y
2.160 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.160 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.160 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.160 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.161 * [backup-simplify]: Simplify (+ 0 0) into 0
2.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.161 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.161 * [taylor]: Taking taylor expansion of x in x
2.161 * [backup-simplify]: Simplify 0 into 0
2.161 * [backup-simplify]: Simplify 1 into 1
2.161 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.161 * [taylor]: Taking taylor expansion of y in x
2.161 * [backup-simplify]: Simplify y into y
2.161 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.161 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.162 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.162 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.162 * [backup-simplify]: Simplify (+ 0 0) into 0
2.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.162 * [taylor]: Taking taylor expansion of y in y
2.162 * [backup-simplify]: Simplify 0 into 0
2.162 * [backup-simplify]: Simplify 1 into 1
2.162 * [backup-simplify]: Simplify 0 into 0
2.162 * [taylor]: Taking taylor expansion of 0 in y
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify 1 into 1
2.163 * [backup-simplify]: Simplify (* 1 1) into 1
2.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.164 * [backup-simplify]: Simplify (+ 1 0) into 1
2.165 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.165 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.165 * [taylor]: Taking taylor expansion of 1/2 in y
2.165 * [backup-simplify]: Simplify 1/2 into 1/2
2.165 * [taylor]: Taking taylor expansion of y in y
2.165 * [backup-simplify]: Simplify 0 into 0
2.165 * [backup-simplify]: Simplify 1 into 1
2.165 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.166 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify 0 into 0
2.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.168 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.168 * [backup-simplify]: Simplify (+ 0 0) into 0
2.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.169 * [taylor]: Taking taylor expansion of 0 in y
2.169 * [backup-simplify]: Simplify 0 into 0
2.169 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.170 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.170 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.170 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.170 * [taylor]: Taking taylor expansion of x in y
2.170 * [backup-simplify]: Simplify x into x
2.170 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.171 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.171 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.171 * [taylor]: Taking taylor expansion of y in y
2.171 * [backup-simplify]: Simplify 0 into 0
2.171 * [backup-simplify]: Simplify 1 into 1
2.171 * [backup-simplify]: Simplify (* 1 1) into 1
2.171 * [backup-simplify]: Simplify (/ 1 1) into 1
2.172 * [backup-simplify]: Simplify (+ 0 1) into 1
2.172 * [backup-simplify]: Simplify (sqrt 1) into 1
2.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.174 * [backup-simplify]: Simplify (+ 0 0) into 0
2.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.175 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.175 * [taylor]: Taking taylor expansion of x in x
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 1 into 1
2.175 * [backup-simplify]: Simplify (* 1 1) into 1
2.176 * [backup-simplify]: Simplify (/ 1 1) into 1
2.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.176 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.176 * [taylor]: Taking taylor expansion of y in x
2.176 * [backup-simplify]: Simplify y into y
2.176 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.176 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.177 * [backup-simplify]: Simplify (+ 1 0) into 1
2.177 * [backup-simplify]: Simplify (sqrt 1) into 1
2.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.179 * [backup-simplify]: Simplify (+ 0 0) into 0
2.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.180 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.180 * [taylor]: Taking taylor expansion of x in x
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify 1 into 1
2.180 * [backup-simplify]: Simplify (* 1 1) into 1
2.180 * [backup-simplify]: Simplify (/ 1 1) into 1
2.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.180 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.180 * [taylor]: Taking taylor expansion of y in x
2.181 * [backup-simplify]: Simplify y into y
2.181 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.181 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.181 * [backup-simplify]: Simplify (+ 1 0) into 1
2.182 * [backup-simplify]: Simplify (sqrt 1) into 1
2.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.183 * [backup-simplify]: Simplify (+ 0 0) into 0
2.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.184 * [taylor]: Taking taylor expansion of 1 in y
2.184 * [backup-simplify]: Simplify 1 into 1
2.184 * [taylor]: Taking taylor expansion of 0 in y
2.184 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify 1 into 1
2.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.187 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.188 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.188 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.188 * [taylor]: Taking taylor expansion of 1/2 in y
2.188 * [backup-simplify]: Simplify 1/2 into 1/2
2.188 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.188 * [taylor]: Taking taylor expansion of y in y
2.188 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify 1 into 1
2.189 * [backup-simplify]: Simplify (* 1 1) into 1
2.189 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.191 * [backup-simplify]: Simplify 0 into 0
2.191 * [backup-simplify]: Simplify 0 into 0
2.191 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.193 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.194 * [backup-simplify]: Simplify (+ 0 0) into 0
2.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.195 * [taylor]: Taking taylor expansion of 0 in y
2.195 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.197 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.197 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.197 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.198 * [taylor]: Taking taylor expansion of x in y
2.198 * [backup-simplify]: Simplify x into x
2.198 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.198 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.198 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.198 * [taylor]: Taking taylor expansion of y in y
2.198 * [backup-simplify]: Simplify 0 into 0
2.198 * [backup-simplify]: Simplify 1 into 1
2.199 * [backup-simplify]: Simplify (* 1 1) into 1
2.199 * [backup-simplify]: Simplify (/ 1 1) into 1
2.200 * [backup-simplify]: Simplify (+ 0 1) into 1
2.200 * [backup-simplify]: Simplify (sqrt 1) into 1
2.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.202 * [backup-simplify]: Simplify (+ 0 0) into 0
2.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.203 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.203 * [taylor]: Taking taylor expansion of x in x
2.203 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify 1 into 1
2.203 * [backup-simplify]: Simplify (* 1 1) into 1
2.204 * [backup-simplify]: Simplify (/ 1 1) into 1
2.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.204 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.204 * [taylor]: Taking taylor expansion of y in x
2.204 * [backup-simplify]: Simplify y into y
2.204 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.204 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.204 * [backup-simplify]: Simplify (+ 1 0) into 1
2.205 * [backup-simplify]: Simplify (sqrt 1) into 1
2.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.207 * [backup-simplify]: Simplify (+ 0 0) into 0
2.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.208 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.208 * [taylor]: Taking taylor expansion of x in x
2.208 * [backup-simplify]: Simplify 0 into 0
2.208 * [backup-simplify]: Simplify 1 into 1
2.208 * [backup-simplify]: Simplify (* 1 1) into 1
2.209 * [backup-simplify]: Simplify (/ 1 1) into 1
2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.209 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.209 * [taylor]: Taking taylor expansion of y in x
2.209 * [backup-simplify]: Simplify y into y
2.209 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.209 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.210 * [backup-simplify]: Simplify (+ 1 0) into 1
2.210 * [backup-simplify]: Simplify (sqrt 1) into 1
2.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.212 * [backup-simplify]: Simplify (+ 0 0) into 0
2.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.213 * [taylor]: Taking taylor expansion of 1 in y
2.213 * [backup-simplify]: Simplify 1 into 1
2.213 * [taylor]: Taking taylor expansion of 0 in y
2.213 * [backup-simplify]: Simplify 0 into 0
2.213 * [backup-simplify]: Simplify 1 into 1
2.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.214 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.215 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.215 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.215 * [taylor]: Taking taylor expansion of 1/2 in y
2.215 * [backup-simplify]: Simplify 1/2 into 1/2
2.215 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.215 * [taylor]: Taking taylor expansion of y in y
2.215 * [backup-simplify]: Simplify 0 into 0
2.215 * [backup-simplify]: Simplify 1 into 1
2.215 * [backup-simplify]: Simplify (* 1 1) into 1
2.216 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.217 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.218 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.218 * [backup-simplify]: Simplify (+ 0 0) into 0
2.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.219 * [taylor]: Taking taylor expansion of 0 in y
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.220 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.221 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
2.221 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.221 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.221 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.221 * [taylor]: Taking taylor expansion of x in y
2.221 * [backup-simplify]: Simplify x into x
2.221 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.221 * [taylor]: Taking taylor expansion of y in y
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 1 into 1
2.221 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.221 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.221 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.221 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.225 * [backup-simplify]: Simplify (+ 0 0) into 0
2.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.226 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.226 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.226 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.226 * [taylor]: Taking taylor expansion of x in x
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 1 into 1
2.226 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.226 * [taylor]: Taking taylor expansion of y in x
2.226 * [backup-simplify]: Simplify y into y
2.226 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.226 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.226 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.226 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.227 * [backup-simplify]: Simplify (+ 0 0) into 0
2.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.227 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.227 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.227 * [taylor]: Taking taylor expansion of x in x
2.227 * [backup-simplify]: Simplify 0 into 0
2.227 * [backup-simplify]: Simplify 1 into 1
2.227 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.227 * [taylor]: Taking taylor expansion of y in x
2.227 * [backup-simplify]: Simplify y into y
2.227 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.227 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.227 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.227 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.228 * [backup-simplify]: Simplify (+ 0 0) into 0
2.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.228 * [taylor]: Taking taylor expansion of y in y
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify 1 into 1
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [taylor]: Taking taylor expansion of 0 in y
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify 1 into 1
2.228 * [backup-simplify]: Simplify (* 1 1) into 1
2.228 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.229 * [backup-simplify]: Simplify (+ 1 0) into 1
2.229 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.229 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.229 * [taylor]: Taking taylor expansion of 1/2 in y
2.229 * [backup-simplify]: Simplify 1/2 into 1/2
2.229 * [taylor]: Taking taylor expansion of y in y
2.229 * [backup-simplify]: Simplify 0 into 0
2.229 * [backup-simplify]: Simplify 1 into 1
2.230 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify 0 into 0
2.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.231 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.231 * [backup-simplify]: Simplify (+ 0 0) into 0
2.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.232 * [taylor]: Taking taylor expansion of 0 in y
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.233 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.233 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.233 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.233 * [taylor]: Taking taylor expansion of x in y
2.233 * [backup-simplify]: Simplify x into x
2.233 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.233 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.233 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.233 * [taylor]: Taking taylor expansion of y in y
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 1 into 1
2.233 * [backup-simplify]: Simplify (* 1 1) into 1
2.234 * [backup-simplify]: Simplify (/ 1 1) into 1
2.234 * [backup-simplify]: Simplify (+ 0 1) into 1
2.234 * [backup-simplify]: Simplify (sqrt 1) into 1
2.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.235 * [backup-simplify]: Simplify (+ 0 0) into 0
2.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.236 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.236 * [taylor]: Taking taylor expansion of x in x
2.236 * [backup-simplify]: Simplify 0 into 0
2.236 * [backup-simplify]: Simplify 1 into 1
2.236 * [backup-simplify]: Simplify (* 1 1) into 1
2.236 * [backup-simplify]: Simplify (/ 1 1) into 1
2.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.236 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.236 * [taylor]: Taking taylor expansion of y in x
2.236 * [backup-simplify]: Simplify y into y
2.236 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.237 * [backup-simplify]: Simplify (+ 1 0) into 1
2.237 * [backup-simplify]: Simplify (sqrt 1) into 1
2.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.238 * [backup-simplify]: Simplify (+ 0 0) into 0
2.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.239 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.239 * [taylor]: Taking taylor expansion of x in x
2.239 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify 1 into 1
2.239 * [backup-simplify]: Simplify (* 1 1) into 1
2.239 * [backup-simplify]: Simplify (/ 1 1) into 1
2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.239 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.239 * [taylor]: Taking taylor expansion of y in x
2.239 * [backup-simplify]: Simplify y into y
2.239 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.239 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.240 * [backup-simplify]: Simplify (+ 1 0) into 1
2.240 * [backup-simplify]: Simplify (sqrt 1) into 1
2.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.242 * [backup-simplify]: Simplify (+ 0 0) into 0
2.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.242 * [taylor]: Taking taylor expansion of 1 in y
2.243 * [backup-simplify]: Simplify 1 into 1
2.243 * [taylor]: Taking taylor expansion of 0 in y
2.243 * [backup-simplify]: Simplify 0 into 0
2.243 * [backup-simplify]: Simplify 1 into 1
2.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.245 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.246 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.246 * [taylor]: Taking taylor expansion of 1/2 in y
2.246 * [backup-simplify]: Simplify 1/2 into 1/2
2.246 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.246 * [taylor]: Taking taylor expansion of y in y
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 1 into 1
2.246 * [backup-simplify]: Simplify (* 1 1) into 1
2.247 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.250 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.251 * [backup-simplify]: Simplify (+ 0 0) into 0
2.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.252 * [taylor]: Taking taylor expansion of 0 in y
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.253 * [backup-simplify]: Simplify 0 into 0
2.253 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.254 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.254 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.254 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.254 * [taylor]: Taking taylor expansion of x in y
2.254 * [backup-simplify]: Simplify x into x
2.254 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.254 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.254 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.254 * [taylor]: Taking taylor expansion of y in y
2.255 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify 1 into 1
2.255 * [backup-simplify]: Simplify (* 1 1) into 1
2.255 * [backup-simplify]: Simplify (/ 1 1) into 1
2.256 * [backup-simplify]: Simplify (+ 0 1) into 1
2.256 * [backup-simplify]: Simplify (sqrt 1) into 1
2.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.258 * [backup-simplify]: Simplify (+ 0 0) into 0
2.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.259 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.259 * [taylor]: Taking taylor expansion of x in x
2.259 * [backup-simplify]: Simplify 0 into 0
2.259 * [backup-simplify]: Simplify 1 into 1
2.260 * [backup-simplify]: Simplify (* 1 1) into 1
2.260 * [backup-simplify]: Simplify (/ 1 1) into 1
2.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.260 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.260 * [taylor]: Taking taylor expansion of y in x
2.260 * [backup-simplify]: Simplify y into y
2.260 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.260 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.261 * [backup-simplify]: Simplify (+ 1 0) into 1
2.261 * [backup-simplify]: Simplify (sqrt 1) into 1
2.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.263 * [backup-simplify]: Simplify (+ 0 0) into 0
2.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.264 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.264 * [taylor]: Taking taylor expansion of x in x
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 1 into 1
2.264 * [backup-simplify]: Simplify (* 1 1) into 1
2.264 * [backup-simplify]: Simplify (/ 1 1) into 1
2.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.264 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.264 * [taylor]: Taking taylor expansion of y in x
2.265 * [backup-simplify]: Simplify y into y
2.265 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.265 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.265 * [backup-simplify]: Simplify (+ 1 0) into 1
2.266 * [backup-simplify]: Simplify (sqrt 1) into 1
2.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.267 * [backup-simplify]: Simplify (+ 0 0) into 0
2.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.268 * [taylor]: Taking taylor expansion of 1 in y
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [taylor]: Taking taylor expansion of 0 in y
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.271 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.271 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.271 * [taylor]: Taking taylor expansion of 1/2 in y
2.271 * [backup-simplify]: Simplify 1/2 into 1/2
2.271 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.271 * [taylor]: Taking taylor expansion of y in y
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify 1 into 1
2.272 * [backup-simplify]: Simplify (* 1 1) into 1
2.272 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.276 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.276 * [backup-simplify]: Simplify (+ 0 0) into 0
2.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.277 * [taylor]: Taking taylor expansion of 0 in y
2.277 * [backup-simplify]: Simplify 0 into 0
2.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.279 * [backup-simplify]: Simplify 0 into 0
2.279 * [backup-simplify]: Simplify 0 into 0
2.279 * [backup-simplify]: Simplify 0 into 0
2.279 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.279 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.280 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2))
2.280 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.280 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.280 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.280 * [taylor]: Taking taylor expansion of x in y
2.280 * [backup-simplify]: Simplify x into x
2.280 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.280 * [taylor]: Taking taylor expansion of y in y
2.280 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify 1 into 1
2.280 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.280 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.280 * [taylor]: Taking taylor expansion of x in x
2.280 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify 1 into 1
2.280 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.280 * [taylor]: Taking taylor expansion of y in x
2.280 * [backup-simplify]: Simplify y into y
2.280 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.280 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.280 * [taylor]: Taking taylor expansion of x in x
2.280 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify 1 into 1
2.280 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.280 * [taylor]: Taking taylor expansion of y in x
2.280 * [backup-simplify]: Simplify y into y
2.280 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.281 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.281 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.281 * [taylor]: Taking taylor expansion of y in y
2.281 * [backup-simplify]: Simplify 0 into 0
2.281 * [backup-simplify]: Simplify 1 into 1
2.281 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.281 * [backup-simplify]: Simplify (+ 0 0) into 0
2.281 * [taylor]: Taking taylor expansion of 0 in y
2.281 * [backup-simplify]: Simplify 0 into 0
2.281 * [backup-simplify]: Simplify 0 into 0
2.282 * [backup-simplify]: Simplify (* 1 1) into 1
2.282 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.283 * [backup-simplify]: Simplify (+ 1 0) into 1
2.283 * [taylor]: Taking taylor expansion of 1 in y
2.283 * [backup-simplify]: Simplify 1 into 1
2.283 * [backup-simplify]: Simplify 1 into 1
2.283 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify (* 1 1) into 1
2.283 * [backup-simplify]: Simplify 1 into 1
2.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.285 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.285 * [backup-simplify]: Simplify (+ 0 0) into 0
2.285 * [taylor]: Taking taylor expansion of 0 in y
2.285 * [backup-simplify]: Simplify 0 into 0
2.285 * [backup-simplify]: Simplify 0 into 0
2.285 * [backup-simplify]: Simplify 0 into 0
2.285 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.286 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.288 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.288 * [backup-simplify]: Simplify (+ 0 0) into 0
2.288 * [taylor]: Taking taylor expansion of 0 in y
2.288 * [backup-simplify]: Simplify 0 into 0
2.288 * [backup-simplify]: Simplify 0 into 0
2.288 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
2.289 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.289 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.289 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.290 * [taylor]: Taking taylor expansion of x in y
2.290 * [backup-simplify]: Simplify x into x
2.290 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.290 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.290 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.290 * [taylor]: Taking taylor expansion of y in y
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 1 into 1
2.290 * [backup-simplify]: Simplify (* 1 1) into 1
2.291 * [backup-simplify]: Simplify (/ 1 1) into 1
2.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.291 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.291 * [taylor]: Taking taylor expansion of x in x
2.291 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify 1 into 1
2.291 * [backup-simplify]: Simplify (* 1 1) into 1
2.292 * [backup-simplify]: Simplify (/ 1 1) into 1
2.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.292 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.292 * [taylor]: Taking taylor expansion of y in x
2.292 * [backup-simplify]: Simplify y into y
2.292 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.292 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.292 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.292 * [taylor]: Taking taylor expansion of x in x
2.292 * [backup-simplify]: Simplify 0 into 0
2.292 * [backup-simplify]: Simplify 1 into 1
2.293 * [backup-simplify]: Simplify (* 1 1) into 1
2.293 * [backup-simplify]: Simplify (/ 1 1) into 1
2.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.293 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.293 * [taylor]: Taking taylor expansion of y in x
2.293 * [backup-simplify]: Simplify y into y
2.293 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.293 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.294 * [backup-simplify]: Simplify (+ 1 0) into 1
2.294 * [taylor]: Taking taylor expansion of 1 in y
2.294 * [backup-simplify]: Simplify 1 into 1
2.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.296 * [backup-simplify]: Simplify (+ 0 0) into 0
2.296 * [taylor]: Taking taylor expansion of 0 in y
2.296 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.298 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.298 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.298 * [taylor]: Taking taylor expansion of y in y
2.298 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify 1 into 1
2.298 * [backup-simplify]: Simplify (* 1 1) into 1
2.299 * [backup-simplify]: Simplify (/ 1 1) into 1
2.299 * [backup-simplify]: Simplify 1 into 1
2.299 * [backup-simplify]: Simplify 1 into 1
2.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.301 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.301 * [backup-simplify]: Simplify (+ 0 0) into 0
2.301 * [taylor]: Taking taylor expansion of 0 in y
2.301 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.303 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.306 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.307 * [backup-simplify]: Simplify (+ 0 0) into 0
2.307 * [taylor]: Taking taylor expansion of 0 in y
2.307 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
2.310 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.310 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.310 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.310 * [taylor]: Taking taylor expansion of x in y
2.310 * [backup-simplify]: Simplify x into x
2.310 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.311 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.311 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.311 * [taylor]: Taking taylor expansion of y in y
2.311 * [backup-simplify]: Simplify 0 into 0
2.311 * [backup-simplify]: Simplify 1 into 1
2.311 * [backup-simplify]: Simplify (* 1 1) into 1
2.312 * [backup-simplify]: Simplify (/ 1 1) into 1
2.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.312 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.312 * [taylor]: Taking taylor expansion of x in x
2.312 * [backup-simplify]: Simplify 0 into 0
2.312 * [backup-simplify]: Simplify 1 into 1
2.312 * [backup-simplify]: Simplify (* 1 1) into 1
2.313 * [backup-simplify]: Simplify (/ 1 1) into 1
2.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.313 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.313 * [taylor]: Taking taylor expansion of y in x
2.313 * [backup-simplify]: Simplify y into y
2.313 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.313 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.313 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.313 * [taylor]: Taking taylor expansion of x in x
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.314 * [backup-simplify]: Simplify (* 1 1) into 1
2.314 * [backup-simplify]: Simplify (/ 1 1) into 1
2.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.314 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.314 * [taylor]: Taking taylor expansion of y in x
2.314 * [backup-simplify]: Simplify y into y
2.314 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.315 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.315 * [backup-simplify]: Simplify (+ 1 0) into 1
2.315 * [taylor]: Taking taylor expansion of 1 in y
2.315 * [backup-simplify]: Simplify 1 into 1
2.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.317 * [backup-simplify]: Simplify (+ 0 0) into 0
2.317 * [taylor]: Taking taylor expansion of 0 in y
2.317 * [backup-simplify]: Simplify 0 into 0
2.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.320 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.320 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.320 * [taylor]: Taking taylor expansion of y in y
2.320 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify 1 into 1
2.320 * [backup-simplify]: Simplify (* 1 1) into 1
2.321 * [backup-simplify]: Simplify (/ 1 1) into 1
2.321 * [backup-simplify]: Simplify 1 into 1
2.321 * [backup-simplify]: Simplify 1 into 1
2.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.323 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.324 * [backup-simplify]: Simplify (+ 0 0) into 0
2.324 * [taylor]: Taking taylor expansion of 0 in y
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.325 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify 0 into 0
2.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.328 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.329 * [backup-simplify]: Simplify (+ 0 0) into 0
2.329 * [taylor]: Taking taylor expansion of 0 in y
2.329 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
2.332 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
2.332 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
2.332 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.332 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.332 * [taylor]: Taking taylor expansion of x in y
2.332 * [backup-simplify]: Simplify x into x
2.332 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.332 * [taylor]: Taking taylor expansion of y in y
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 1 into 1
2.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.332 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.332 * [taylor]: Taking taylor expansion of x in x
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 1 into 1
2.332 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.333 * [taylor]: Taking taylor expansion of y in x
2.333 * [backup-simplify]: Simplify y into y
2.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.333 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.333 * [taylor]: Taking taylor expansion of x in x
2.333 * [backup-simplify]: Simplify 0 into 0
2.333 * [backup-simplify]: Simplify 1 into 1
2.333 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.333 * [taylor]: Taking taylor expansion of y in x
2.333 * [backup-simplify]: Simplify y into y
2.333 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.333 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.333 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.333 * [taylor]: Taking taylor expansion of y in y
2.333 * [backup-simplify]: Simplify 0 into 0
2.333 * [backup-simplify]: Simplify 1 into 1
2.333 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.334 * [backup-simplify]: Simplify (+ 0 0) into 0
2.334 * [taylor]: Taking taylor expansion of 0 in y
2.334 * [backup-simplify]: Simplify 0 into 0
2.334 * [backup-simplify]: Simplify 0 into 0
2.334 * [backup-simplify]: Simplify (* 1 1) into 1
2.335 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.335 * [backup-simplify]: Simplify (+ 1 0) into 1
2.335 * [taylor]: Taking taylor expansion of 1 in y
2.335 * [backup-simplify]: Simplify 1 into 1
2.335 * [backup-simplify]: Simplify 1 into 1
2.335 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify (* 1 1) into 1
2.336 * [backup-simplify]: Simplify 1 into 1
2.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.337 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.337 * [backup-simplify]: Simplify (+ 0 0) into 0
2.337 * [taylor]: Taking taylor expansion of 0 in y
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.338 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.340 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.341 * [backup-simplify]: Simplify (+ 0 0) into 0
2.341 * [taylor]: Taking taylor expansion of 0 in y
2.341 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
2.342 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.342 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.342 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.342 * [taylor]: Taking taylor expansion of x in y
2.342 * [backup-simplify]: Simplify x into x
2.342 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.342 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.342 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.342 * [taylor]: Taking taylor expansion of y in y
2.342 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify 1 into 1
2.343 * [backup-simplify]: Simplify (* 1 1) into 1
2.343 * [backup-simplify]: Simplify (/ 1 1) into 1
2.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.343 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.343 * [taylor]: Taking taylor expansion of x in x
2.343 * [backup-simplify]: Simplify 0 into 0
2.343 * [backup-simplify]: Simplify 1 into 1
2.344 * [backup-simplify]: Simplify (* 1 1) into 1
2.344 * [backup-simplify]: Simplify (/ 1 1) into 1
2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.344 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.344 * [taylor]: Taking taylor expansion of y in x
2.344 * [backup-simplify]: Simplify y into y
2.344 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.344 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.345 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.345 * [taylor]: Taking taylor expansion of x in x
2.345 * [backup-simplify]: Simplify 0 into 0
2.345 * [backup-simplify]: Simplify 1 into 1
2.345 * [backup-simplify]: Simplify (* 1 1) into 1
2.345 * [backup-simplify]: Simplify (/ 1 1) into 1
2.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.345 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.346 * [taylor]: Taking taylor expansion of y in x
2.346 * [backup-simplify]: Simplify y into y
2.346 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.346 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.346 * [backup-simplify]: Simplify (+ 1 0) into 1
2.346 * [taylor]: Taking taylor expansion of 1 in y
2.346 * [backup-simplify]: Simplify 1 into 1
2.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.348 * [backup-simplify]: Simplify (+ 0 0) into 0
2.348 * [taylor]: Taking taylor expansion of 0 in y
2.348 * [backup-simplify]: Simplify 0 into 0
2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.350 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.350 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.350 * [taylor]: Taking taylor expansion of y in y
2.350 * [backup-simplify]: Simplify 0 into 0
2.350 * [backup-simplify]: Simplify 1 into 1
2.351 * [backup-simplify]: Simplify (* 1 1) into 1
2.351 * [backup-simplify]: Simplify (/ 1 1) into 1
2.351 * [backup-simplify]: Simplify 1 into 1
2.351 * [backup-simplify]: Simplify 1 into 1
2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.354 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.354 * [backup-simplify]: Simplify (+ 0 0) into 0
2.354 * [taylor]: Taking taylor expansion of 0 in y
2.354 * [backup-simplify]: Simplify 0 into 0
2.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.359 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.360 * [backup-simplify]: Simplify (+ 0 0) into 0
2.360 * [taylor]: Taking taylor expansion of 0 in y
2.360 * [backup-simplify]: Simplify 0 into 0
2.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.362 * [backup-simplify]: Simplify 0 into 0
2.362 * [backup-simplify]: Simplify 0 into 0
2.362 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
2.363 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.363 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.363 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.363 * [taylor]: Taking taylor expansion of x in y
2.363 * [backup-simplify]: Simplify x into x
2.363 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.363 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.364 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.364 * [taylor]: Taking taylor expansion of y in y
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify 1 into 1
2.364 * [backup-simplify]: Simplify (* 1 1) into 1
2.364 * [backup-simplify]: Simplify (/ 1 1) into 1
2.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.365 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.365 * [taylor]: Taking taylor expansion of x in x
2.365 * [backup-simplify]: Simplify 0 into 0
2.365 * [backup-simplify]: Simplify 1 into 1
2.365 * [backup-simplify]: Simplify (* 1 1) into 1
2.365 * [backup-simplify]: Simplify (/ 1 1) into 1
2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.365 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.365 * [taylor]: Taking taylor expansion of y in x
2.366 * [backup-simplify]: Simplify y into y
2.366 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.366 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.366 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.366 * [taylor]: Taking taylor expansion of x in x
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify 1 into 1
2.366 * [backup-simplify]: Simplify (* 1 1) into 1
2.367 * [backup-simplify]: Simplify (/ 1 1) into 1
2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.367 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.367 * [taylor]: Taking taylor expansion of y in x
2.367 * [backup-simplify]: Simplify y into y
2.367 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.367 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.368 * [backup-simplify]: Simplify (+ 1 0) into 1
2.368 * [taylor]: Taking taylor expansion of 1 in y
2.368 * [backup-simplify]: Simplify 1 into 1
2.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.370 * [backup-simplify]: Simplify (+ 0 0) into 0
2.370 * [taylor]: Taking taylor expansion of 0 in y
2.370 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.372 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.372 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.372 * [taylor]: Taking taylor expansion of y in y
2.372 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify 1 into 1
2.377 * [backup-simplify]: Simplify (* 1 1) into 1
2.378 * [backup-simplify]: Simplify (/ 1 1) into 1
2.378 * [backup-simplify]: Simplify 1 into 1
2.378 * [backup-simplify]: Simplify 1 into 1
2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.380 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.381 * [backup-simplify]: Simplify (+ 0 0) into 0
2.381 * [taylor]: Taking taylor expansion of 0 in y
2.381 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.386 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.387 * [backup-simplify]: Simplify (+ 0 0) into 0
2.387 * [taylor]: Taking taylor expansion of 0 in y
2.387 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.388 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
2.389 * * * [progress]: simplifying candidates
2.392 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))))
  (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))
  (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))))
  (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))))
  (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 1 1)
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt 1))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* x x) (* y y))) 1)
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
2.397 * * [simplify]: Extracting # 0 : cost  0
2.397 * * [simplify]: Extracting # 1 : cost  0
2.397 * * [simplify]: Extracting # 2 : cost  0
2.398 * * [simplify]: Extracting # 3 : cost  0
2.398 * * [simplify]: Extracting # 4 : cost  0
2.398 * * [simplify]: Extracting # 5 : cost  0
2.398 * * [simplify]: Extracting # 6 : cost  0
2.399 * * [simplify]: iteration  0 :  92  enodes  (cost  1982 )
2.448 * * [simplify]: Extracting # 0 : cost  0
2.449 * * [simplify]: Extracting # 1 : cost  0
2.449 * * [simplify]: Extracting # 2 : cost  0
2.450 * * [simplify]: Extracting # 3 : cost  0
2.450 * * [simplify]: Extracting # 4 : cost  0
2.450 * * [simplify]: Extracting # 5 : cost  0
2.451 * * [simplify]: iteration  1 :  191  enodes  (cost  1397 )
2.541 * * [simplify]: Extracting # 0 : cost  0
2.541 * * [simplify]: Extracting # 1 : cost  0
2.542 * * [simplify]: Extracting # 2 : cost  0
2.542 * * [simplify]: Extracting # 3 : cost  0
2.543 * * [simplify]: Extracting # 4 : cost  0
2.544 * * [simplify]: Extracting # 5 : cost  0
2.544 * * [simplify]: iteration  2 :  550  enodes  (cost  1177 )
3.055 * * [simplify]: Extracting # 0 : cost  0
3.057 * * [simplify]: Extracting # 1 : cost  0
3.059 * * [simplify]: Extracting # 2 : cost  0
3.060 * * [simplify]: Extracting # 3 : cost  0
3.062 * * [simplify]: Extracting # 4 : cost  0
3.063 * * [simplify]: iteration  3 :  1718  enodes  (cost  1138 )
4.628 * * [simplify]: Extracting # 0 : cost  0
4.634 * * [simplify]: Extracting # 1 : cost  0
4.640 * * [simplify]: Extracting # 2 : cost  0
4.644 * * [simplify]: Extracting # 3 : cost  0
4.649 * * [simplify]: Extracting # 4 : cost  0
4.654 * * [simplify]: Extracting # 5 : cost  0
4.658 * * [simplify]: iteration done:  5001  enodes  (cost  1110 )
4.659 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (* (+ y x) (- x y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (+ (* x x) (* y y))) 3)
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow y 6) (pow x 6)))
  (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (* (+ y x) (- x y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  1
  2
  1
  1
  (pow (sqrt (+ (* x x) (* y y))) 4)
  (+ (* x x) (* y y))
  (pow (sqrt (+ (* x x) (* y y))) 4)
  2
  (log (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (pow (sqrt (+ (* x x) (* y y))) 4)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4))))
  (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4))))
  (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y))))
  (- (pow x 4) (pow y 4))
  (* (+ y x) (- x y))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4)
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
  (cbrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  (+ (* x x) (* y y))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  (+ (* x x) (* y y))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  1
  2
  1
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5)
  (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (sqrt (+ (* x x) (* y y)))
  (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4)
  (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (+ (* x x) (* y y))
  (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
  (+ (* x x) (* y y))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4))))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (* (+ y x) (- x y))
  y
  x
  (- x)
  y
  x
  (- x)
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
4.660 * * * [progress]: adding candidates to table
4.933 * [progress]: [Phase 3 of 3] Extracting.
4.933 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.934 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x)
4.934 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.944 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.958 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.972 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.983 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ (* x x) (* y y)))> #<alt (λ (x y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))>)
4.994 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
4.995 * [simplify]: Simplifying:
  (+ (* x x) (* y y))
4.995 * * [simplify]: Extracting # 0 : cost  0
4.995 * * [simplify]: Extracting # 1 : cost  0
4.995 * * [simplify]: Extracting # 2 : cost  0
4.995 * * [simplify]: Extracting # 3 : cost  0
4.995 * * [simplify]: Extracting # 4 : cost  0
4.995 * * [simplify]: iteration  0 :  5  enodes  (cost  7 )
4.995 * * [simplify]: Extracting # 0 : cost  0
4.995 * * [simplify]: iteration  1 :  6  enodes  (cost  7 )
4.995 * * [simplify]: Extracting # 0 : cost  0
4.995 * * [simplify]: iteration done:  6  enodes  (cost  7 )
4.995 * [simplify]: Simplified to:
  (+ (* x x) (* y y))
6.288 * [regime-testing]: Baseline error score: 0.008751093886735842
6.289 * [regime-testing]: Oracle error score: 0.006250781347668459
6.294 * [regime-testing]: End program error score: 0.008751093886735842