29.157 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.029 * * * [progress]: [2/2] Setting up program.
0.033 * [progress]: [Phase 2 of 3] Improving.
0.033 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.033 * * [simplify]: Extracting # 0 : cost  0
0.033 * * [simplify]: Extracting # 1 : cost  0
0.033 * * [simplify]: Extracting # 2 : cost  0
0.033 * * [simplify]: Extracting # 3 : cost  0
0.033 * * [simplify]: Extracting # 4 : cost  0
0.033 * * [simplify]: Extracting # 5 : cost  0
0.034 * * [simplify]: iteration  0 :  5  enodes  (cost  6 )
0.035 * * [simplify]: Extracting # 0 : cost  0
0.035 * * [simplify]: iteration  1 :  6  enodes  (cost  6 )
0.037 * * [simplify]: Extracting # 0 : cost  0
0.037 * * [simplify]: iteration done:  6  enodes  (cost  6 )
0.037 * [simplify]: Simplified to:
  (sqrt (+ (* x x) y))
0.037 * * [progress]: iteration 1 / 4
0.037 * * * [progress]: picking best candidate
0.049 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.049 * * * [progress]: localizing error
0.061 * * * [progress]: generating rewritten candidates
0.061 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.084 * * * [progress]: generating series expansions
0.084 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.084 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.084 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.084 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.084 * [taylor]: Taking taylor expansion of x in y
0.084 * [backup-simplify]: Simplify x into x
0.084 * [taylor]: Taking taylor expansion of y in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.085 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.085 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.085 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.086 * [backup-simplify]: Simplify (+ 0 1) into 1
0.086 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.086 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.086 * [taylor]: Taking taylor expansion of x in x
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [taylor]: Taking taylor expansion of y in x
0.086 * [backup-simplify]: Simplify y into y
0.086 * [backup-simplify]: Simplify (+ 0 y) into y
0.086 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.087 * [taylor]: Taking taylor expansion of x in x
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [taylor]: Taking taylor expansion of y in x
0.087 * [backup-simplify]: Simplify y into y
0.087 * [backup-simplify]: Simplify (+ 0 y) into y
0.087 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.088 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.088 * [taylor]: Taking taylor expansion of y in y
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (sqrt 0) into 0
0.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [taylor]: Taking taylor expansion of 0 in y
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.090 * [backup-simplify]: Simplify (* 1 1) into 1
0.091 * [backup-simplify]: Simplify (+ 1 0) into 1
0.091 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.092 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.092 * [taylor]: Taking taylor expansion of 1/2 in y
0.092 * [backup-simplify]: Simplify 1/2 into 1/2
0.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.092 * [taylor]: Taking taylor expansion of y in y
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 1 into 1
0.092 * [backup-simplify]: Simplify (/ 1 1) into 1
0.093 * [backup-simplify]: Simplify (sqrt 0) into 0
0.094 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.096 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.096 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.097 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.100 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.101 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
0.101 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.101 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.101 * [taylor]: Taking taylor expansion of x in y
0.101 * [backup-simplify]: Simplify x into x
0.101 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.101 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.101 * [taylor]: Taking taylor expansion of y in y
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.102 * [backup-simplify]: Simplify (/ 1 1) into 1
0.102 * [backup-simplify]: Simplify (+ 0 1) into 1
0.103 * [backup-simplify]: Simplify (sqrt 0) into 0
0.104 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.104 * [taylor]: Taking taylor expansion of x in x
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (* 1 1) into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.105 * [taylor]: Taking taylor expansion of y in x
0.105 * [backup-simplify]: Simplify y into y
0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.105 * [backup-simplify]: Simplify (+ 1 0) into 1
0.106 * [backup-simplify]: Simplify (sqrt 1) into 1
0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.108 * [taylor]: Taking taylor expansion of x in x
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 1 into 1
0.109 * [backup-simplify]: Simplify (* 1 1) into 1
0.109 * [backup-simplify]: Simplify (/ 1 1) into 1
0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.109 * [taylor]: Taking taylor expansion of y in x
0.110 * [backup-simplify]: Simplify y into y
0.110 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.110 * [backup-simplify]: Simplify (+ 1 0) into 1
0.110 * [backup-simplify]: Simplify (sqrt 1) into 1
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.113 * [taylor]: Taking taylor expansion of 1 in y
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [taylor]: Taking taylor expansion of 0 in y
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.117 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.117 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.117 * [taylor]: Taking taylor expansion of 1/2 in y
0.117 * [backup-simplify]: Simplify 1/2 into 1/2
0.117 * [taylor]: Taking taylor expansion of y in y
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.117 * [backup-simplify]: Simplify 1/2 into 1/2
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.121 * [taylor]: Taking taylor expansion of 0 in y
0.121 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.126 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.126 * [taylor]: Taking taylor expansion of -1/8 in y
0.126 * [backup-simplify]: Simplify -1/8 into -1/8
0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.126 * [taylor]: Taking taylor expansion of y in y
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (* 1 1) into 1
0.127 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.129 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.129 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.129 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.130 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.130 * [taylor]: Taking taylor expansion of x in y
0.130 * [backup-simplify]: Simplify x into x
0.130 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.130 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.130 * [taylor]: Taking taylor expansion of y in y
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (/ 1 1) into 1
0.131 * [backup-simplify]: Simplify (- 1) into -1
0.131 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.131 * [backup-simplify]: Simplify (sqrt 0) into 0
0.132 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.132 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.132 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.132 * [taylor]: Taking taylor expansion of x in x
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (* 1 1) into 1
0.133 * [backup-simplify]: Simplify (/ 1 1) into 1
0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.133 * [taylor]: Taking taylor expansion of y in x
0.133 * [backup-simplify]: Simplify y into y
0.133 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.133 * [backup-simplify]: Simplify (+ 1 0) into 1
0.133 * [backup-simplify]: Simplify (sqrt 1) into 1
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.135 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.135 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.135 * [taylor]: Taking taylor expansion of x in x
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (* 1 1) into 1
0.135 * [backup-simplify]: Simplify (/ 1 1) into 1
0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.135 * [taylor]: Taking taylor expansion of y in x
0.135 * [backup-simplify]: Simplify y into y
0.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.136 * [backup-simplify]: Simplify (+ 1 0) into 1
0.136 * [backup-simplify]: Simplify (sqrt 1) into 1
0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (+ 0 0) into 0
0.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.138 * [taylor]: Taking taylor expansion of 1 in y
0.138 * [backup-simplify]: Simplify 1 into 1
0.138 * [taylor]: Taking taylor expansion of 0 in y
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.139 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.140 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.140 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.140 * [taylor]: Taking taylor expansion of -1/2 in y
0.140 * [backup-simplify]: Simplify -1/2 into -1/2
0.140 * [taylor]: Taking taylor expansion of y in y
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.140 * [backup-simplify]: Simplify -1/2 into -1/2
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.142 * [backup-simplify]: Simplify (- 0) into 0
0.142 * [backup-simplify]: Simplify (+ 0 0) into 0
0.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.142 * [taylor]: Taking taylor expansion of 0 in y
0.142 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.144 * [backup-simplify]: Simplify (- 0) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.146 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.146 * [taylor]: Taking taylor expansion of -1/8 in y
0.146 * [backup-simplify]: Simplify -1/8 into -1/8
0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.146 * [taylor]: Taking taylor expansion of y in y
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify (* 1 1) into 1
0.147 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.148 * * * [progress]: simplifying candidates
0.149 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
0.149 * * [simplify]: Extracting # 0 : cost  0
0.149 * * [simplify]: Extracting # 1 : cost  0
0.149 * * [simplify]: Extracting # 2 : cost  0
0.149 * * [simplify]: Extracting # 3 : cost  0
0.149 * * [simplify]: Extracting # 4 : cost  0
0.149 * * [simplify]: Extracting # 5 : cost  0
0.149 * * [simplify]: Extracting # 6 : cost  0
0.149 * * [simplify]: Extracting # 7 : cost  0
0.150 * * [simplify]: iteration  0 :  51  enodes  (cost  195 )
0.159 * * [simplify]: Extracting # 0 : cost  0
0.160 * * [simplify]: Extracting # 1 : cost  0
0.160 * * [simplify]: Extracting # 2 : cost  0
0.160 * * [simplify]: Extracting # 3 : cost  0
0.160 * * [simplify]: Extracting # 4 : cost  0
0.160 * * [simplify]: iteration  1 :  122  enodes  (cost  173 )
0.240 * * [simplify]: Extracting # 0 : cost  0
0.240 * * [simplify]: Extracting # 1 : cost  0
0.241 * * [simplify]: Extracting # 2 : cost  0
0.241 * * [simplify]: Extracting # 3 : cost  0
0.241 * * [simplify]: iteration  2 :  448  enodes  (cost  157 )
0.822 * * [simplify]: Extracting # 0 : cost  0
0.827 * * [simplify]: Extracting # 1 : cost  0
0.833 * * [simplify]: Extracting # 2 : cost  0
0.839 * * [simplify]: Extracting # 3 : cost  0
0.845 * * [simplify]: Extracting # 4 : cost  0
0.855 * * [simplify]: iteration  3 :  2399  enodes  (cost  154 )
2.053 * * [simplify]: Extracting # 0 : cost  0
2.060 * * [simplify]: Extracting # 1 : cost  0
2.078 * * [simplify]: Extracting # 2 : cost  0
2.094 * * [simplify]: Extracting # 3 : cost  0
2.111 * * [simplify]: Extracting # 4 : cost  0
2.131 * * [simplify]: iteration done:  5003  enodes  (cost  154 )
2.131 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (sqrt (+ (* x x) y)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow y 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* y (- y (* x x)))))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (* +nan.0 (+ (- (* x x)) (- (* y y) y)))
  (+ x (* 1/2 (/ y x)))
  (- (* (/ y x) -1/2) x)
2.131 * * * [progress]: adding candidates to table
2.181 * * [progress]: iteration 2 / 4
2.181 * * * [progress]: picking best candidate
2.190 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))>
2.190 * * * [progress]: localizing error
2.214 * * * [progress]: generating rewritten candidates
2.214 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
2.234 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
2.253 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.348 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
2.368 * * * [progress]: generating series expansions
2.368 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
2.368 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
2.368 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
2.368 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
2.368 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
2.368 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.368 * [taylor]: Taking taylor expansion of x in y
2.368 * [backup-simplify]: Simplify x into x
2.368 * [taylor]: Taking taylor expansion of y in y
2.368 * [backup-simplify]: Simplify 0 into 0
2.368 * [backup-simplify]: Simplify 1 into 1
2.368 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.369 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.369 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.369 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.369 * [backup-simplify]: Simplify (+ 0 1) into 1
2.369 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
2.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
2.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
2.369 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.369 * [taylor]: Taking taylor expansion of x in x
2.369 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify 1 into 1
2.370 * [taylor]: Taking taylor expansion of y in x
2.370 * [backup-simplify]: Simplify y into y
2.370 * [backup-simplify]: Simplify (+ 0 y) into y
2.370 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
2.370 * [backup-simplify]: Simplify (+ 0 0) into 0
2.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
2.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
2.370 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
2.370 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.370 * [taylor]: Taking taylor expansion of x in x
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify 1 into 1
2.370 * [taylor]: Taking taylor expansion of y in x
2.370 * [backup-simplify]: Simplify y into y
2.370 * [backup-simplify]: Simplify (+ 0 y) into y
2.370 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
2.370 * [backup-simplify]: Simplify (+ 0 0) into 0
2.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
2.370 * [taylor]: Taking taylor expansion of (sqrt y) in y
2.371 * [taylor]: Taking taylor expansion of y in y
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 1 into 1
2.371 * [backup-simplify]: Simplify (sqrt 0) into 0
2.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.372 * [backup-simplify]: Simplify 0 into 0
2.372 * [taylor]: Taking taylor expansion of 0 in y
2.372 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.372 * [backup-simplify]: Simplify (* 1 1) into 1
2.372 * [backup-simplify]: Simplify (+ 1 0) into 1
2.373 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
2.373 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
2.373 * [taylor]: Taking taylor expansion of 1/2 in y
2.373 * [backup-simplify]: Simplify 1/2 into 1/2
2.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
2.373 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.373 * [taylor]: Taking taylor expansion of y in y
2.373 * [backup-simplify]: Simplify 0 into 0
2.373 * [backup-simplify]: Simplify 1 into 1
2.373 * [backup-simplify]: Simplify (/ 1 1) into 1
2.373 * [backup-simplify]: Simplify (sqrt 0) into 0
2.374 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.375 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
2.375 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.375 * [backup-simplify]: Simplify 0 into 0
2.377 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.377 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.378 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
2.378 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
2.378 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
2.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
2.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
2.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.378 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.378 * [taylor]: Taking taylor expansion of x in y
2.378 * [backup-simplify]: Simplify x into x
2.378 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.378 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.378 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.378 * [taylor]: Taking taylor expansion of y in y
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 1 into 1
2.378 * [backup-simplify]: Simplify (/ 1 1) into 1
2.379 * [backup-simplify]: Simplify (+ 0 1) into 1
2.379 * [backup-simplify]: Simplify (sqrt 0) into 0
2.380 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
2.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
2.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.380 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.380 * [taylor]: Taking taylor expansion of x in x
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 1 into 1
2.380 * [backup-simplify]: Simplify (* 1 1) into 1
2.380 * [backup-simplify]: Simplify (/ 1 1) into 1
2.380 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.380 * [taylor]: Taking taylor expansion of y in x
2.380 * [backup-simplify]: Simplify y into y
2.380 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.381 * [backup-simplify]: Simplify (+ 1 0) into 1
2.381 * [backup-simplify]: Simplify (sqrt 1) into 1
2.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.382 * [backup-simplify]: Simplify (+ 0 0) into 0
2.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
2.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.382 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.382 * [taylor]: Taking taylor expansion of x in x
2.382 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify 1 into 1
2.383 * [backup-simplify]: Simplify (* 1 1) into 1
2.383 * [backup-simplify]: Simplify (/ 1 1) into 1
2.383 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.383 * [taylor]: Taking taylor expansion of y in x
2.383 * [backup-simplify]: Simplify y into y
2.383 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.383 * [backup-simplify]: Simplify (+ 1 0) into 1
2.384 * [backup-simplify]: Simplify (sqrt 1) into 1
2.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.385 * [backup-simplify]: Simplify (+ 0 0) into 0
2.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.385 * [taylor]: Taking taylor expansion of 1 in y
2.385 * [backup-simplify]: Simplify 1 into 1
2.385 * [taylor]: Taking taylor expansion of 0 in y
2.385 * [backup-simplify]: Simplify 0 into 0
2.385 * [backup-simplify]: Simplify 1 into 1
2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.386 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
2.387 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
2.387 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.387 * [taylor]: Taking taylor expansion of 1/2 in y
2.387 * [backup-simplify]: Simplify 1/2 into 1/2
2.387 * [taylor]: Taking taylor expansion of y in y
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.387 * [backup-simplify]: Simplify 1/2 into 1/2
2.387 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.389 * [backup-simplify]: Simplify (+ 0 0) into 0
2.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
2.389 * [taylor]: Taking taylor expansion of 0 in y
2.389 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.391 * [backup-simplify]: Simplify (+ 0 0) into 0
2.392 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
2.392 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
2.392 * [taylor]: Taking taylor expansion of -1/8 in y
2.392 * [backup-simplify]: Simplify -1/8 into -1/8
2.392 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.392 * [taylor]: Taking taylor expansion of y in y
2.392 * [backup-simplify]: Simplify 0 into 0
2.392 * [backup-simplify]: Simplify 1 into 1
2.393 * [backup-simplify]: Simplify (* 1 1) into 1
2.393 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
2.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
2.394 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
2.394 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
2.394 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
2.394 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
2.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.394 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.394 * [taylor]: Taking taylor expansion of x in y
2.394 * [backup-simplify]: Simplify x into x
2.394 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.394 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.394 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.394 * [taylor]: Taking taylor expansion of y in y
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 1 into 1
2.395 * [backup-simplify]: Simplify (/ 1 1) into 1
2.395 * [backup-simplify]: Simplify (- 1) into -1
2.395 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.395 * [backup-simplify]: Simplify (sqrt 0) into 0
2.396 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.396 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
2.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
2.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.396 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.396 * [taylor]: Taking taylor expansion of x in x
2.396 * [backup-simplify]: Simplify 0 into 0
2.396 * [backup-simplify]: Simplify 1 into 1
2.397 * [backup-simplify]: Simplify (* 1 1) into 1
2.397 * [backup-simplify]: Simplify (/ 1 1) into 1
2.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.397 * [taylor]: Taking taylor expansion of y in x
2.397 * [backup-simplify]: Simplify y into y
2.397 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.397 * [backup-simplify]: Simplify (+ 1 0) into 1
2.397 * [backup-simplify]: Simplify (sqrt 1) into 1
2.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.398 * [backup-simplify]: Simplify (+ 0 0) into 0
2.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.399 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
2.399 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.399 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.399 * [taylor]: Taking taylor expansion of x in x
2.399 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify 1 into 1
2.399 * [backup-simplify]: Simplify (* 1 1) into 1
2.399 * [backup-simplify]: Simplify (/ 1 1) into 1
2.399 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.399 * [taylor]: Taking taylor expansion of y in x
2.400 * [backup-simplify]: Simplify y into y
2.400 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.400 * [backup-simplify]: Simplify (+ 1 0) into 1
2.400 * [backup-simplify]: Simplify (sqrt 1) into 1
2.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.401 * [backup-simplify]: Simplify (+ 0 0) into 0
2.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.402 * [taylor]: Taking taylor expansion of 1 in y
2.402 * [backup-simplify]: Simplify 1 into 1
2.402 * [taylor]: Taking taylor expansion of 0 in y
2.402 * [backup-simplify]: Simplify 0 into 0
2.402 * [backup-simplify]: Simplify 1 into 1
2.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.406 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
2.406 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
2.407 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
2.407 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
2.407 * [taylor]: Taking taylor expansion of -1/2 in y
2.407 * [backup-simplify]: Simplify -1/2 into -1/2
2.407 * [taylor]: Taking taylor expansion of y in y
2.407 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify 1 into 1
2.407 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.407 * [backup-simplify]: Simplify -1/2 into -1/2
2.407 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.409 * [backup-simplify]: Simplify (- 0) into 0
2.409 * [backup-simplify]: Simplify (+ 0 0) into 0
2.409 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
2.409 * [taylor]: Taking taylor expansion of 0 in y
2.409 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.413 * [backup-simplify]: Simplify (- 0) into 0
2.413 * [backup-simplify]: Simplify (+ 0 0) into 0
2.415 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
2.415 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
2.415 * [taylor]: Taking taylor expansion of -1/8 in y
2.415 * [backup-simplify]: Simplify -1/8 into -1/8
2.415 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.415 * [taylor]: Taking taylor expansion of y in y
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 1 into 1
2.415 * [backup-simplify]: Simplify (* 1 1) into 1
2.416 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
2.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
2.418 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
2.418 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
2.418 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
2.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
2.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
2.418 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.418 * [taylor]: Taking taylor expansion of x in y
2.418 * [backup-simplify]: Simplify x into x
2.418 * [taylor]: Taking taylor expansion of y in y
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 1 into 1
2.418 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.418 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.419 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.419 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.419 * [backup-simplify]: Simplify (+ 0 1) into 1
2.419 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
2.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
2.420 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
2.420 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.420 * [taylor]: Taking taylor expansion of x in x
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [taylor]: Taking taylor expansion of y in x
2.420 * [backup-simplify]: Simplify y into y
2.420 * [backup-simplify]: Simplify (+ 0 y) into y
2.420 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
2.420 * [backup-simplify]: Simplify (+ 0 0) into 0
2.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
2.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
2.420 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
2.420 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.420 * [taylor]: Taking taylor expansion of x in x
2.420 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify 1 into 1
2.421 * [taylor]: Taking taylor expansion of y in x
2.421 * [backup-simplify]: Simplify y into y
2.421 * [backup-simplify]: Simplify (+ 0 y) into y
2.421 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
2.421 * [backup-simplify]: Simplify (+ 0 0) into 0
2.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
2.421 * [taylor]: Taking taylor expansion of (sqrt y) in y
2.421 * [taylor]: Taking taylor expansion of y in y
2.421 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify 1 into 1
2.422 * [backup-simplify]: Simplify (sqrt 0) into 0
2.423 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [taylor]: Taking taylor expansion of 0 in y
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.424 * [backup-simplify]: Simplify (* 1 1) into 1
2.424 * [backup-simplify]: Simplify (+ 1 0) into 1
2.425 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
2.425 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
2.425 * [taylor]: Taking taylor expansion of 1/2 in y
2.425 * [backup-simplify]: Simplify 1/2 into 1/2
2.425 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
2.425 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.425 * [taylor]: Taking taylor expansion of y in y
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 1 into 1
2.426 * [backup-simplify]: Simplify (/ 1 1) into 1
2.426 * [backup-simplify]: Simplify (sqrt 0) into 0
2.427 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.429 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
2.429 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.429 * [backup-simplify]: Simplify 0 into 0
2.432 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.432 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.433 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
2.433 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
2.433 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
2.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
2.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.434 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.434 * [taylor]: Taking taylor expansion of x in y
2.434 * [backup-simplify]: Simplify x into x
2.434 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.434 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.434 * [taylor]: Taking taylor expansion of y in y
2.434 * [backup-simplify]: Simplify 0 into 0
2.434 * [backup-simplify]: Simplify 1 into 1
2.434 * [backup-simplify]: Simplify (/ 1 1) into 1
2.435 * [backup-simplify]: Simplify (+ 0 1) into 1
2.435 * [backup-simplify]: Simplify (sqrt 0) into 0
2.436 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
2.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
2.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.437 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.437 * [taylor]: Taking taylor expansion of x in x
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify 1 into 1
2.437 * [backup-simplify]: Simplify (* 1 1) into 1
2.437 * [backup-simplify]: Simplify (/ 1 1) into 1
2.437 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.437 * [taylor]: Taking taylor expansion of y in x
2.437 * [backup-simplify]: Simplify y into y
2.438 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.438 * [backup-simplify]: Simplify (+ 1 0) into 1
2.438 * [backup-simplify]: Simplify (sqrt 1) into 1
2.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.440 * [backup-simplify]: Simplify (+ 0 0) into 0
2.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
2.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.441 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.441 * [taylor]: Taking taylor expansion of x in x
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify 1 into 1
2.442 * [backup-simplify]: Simplify (* 1 1) into 1
2.442 * [backup-simplify]: Simplify (/ 1 1) into 1
2.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.442 * [taylor]: Taking taylor expansion of y in x
2.442 * [backup-simplify]: Simplify y into y
2.442 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.442 * [backup-simplify]: Simplify (+ 1 0) into 1
2.443 * [backup-simplify]: Simplify (sqrt 1) into 1
2.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.445 * [backup-simplify]: Simplify (+ 0 0) into 0
2.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.445 * [taylor]: Taking taylor expansion of 1 in y
2.445 * [backup-simplify]: Simplify 1 into 1
2.446 * [taylor]: Taking taylor expansion of 0 in y
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify 1 into 1
2.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.447 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
2.449 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
2.449 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.449 * [taylor]: Taking taylor expansion of 1/2 in y
2.449 * [backup-simplify]: Simplify 1/2 into 1/2
2.449 * [taylor]: Taking taylor expansion of y in y
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 1 into 1
2.449 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.449 * [backup-simplify]: Simplify 1/2 into 1/2
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.452 * [backup-simplify]: Simplify (+ 0 0) into 0
2.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
2.453 * [taylor]: Taking taylor expansion of 0 in y
2.453 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.455 * [backup-simplify]: Simplify (+ 0 0) into 0
2.456 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
2.456 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
2.456 * [taylor]: Taking taylor expansion of -1/8 in y
2.456 * [backup-simplify]: Simplify -1/8 into -1/8
2.456 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.456 * [taylor]: Taking taylor expansion of y in y
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.457 * [backup-simplify]: Simplify (* 1 1) into 1
2.457 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
2.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
2.458 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
2.458 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
2.458 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
2.458 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
2.458 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
2.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.458 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.458 * [taylor]: Taking taylor expansion of x in y
2.458 * [backup-simplify]: Simplify x into x
2.458 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.458 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.458 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.458 * [taylor]: Taking taylor expansion of y in y
2.458 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (/ 1 1) into 1
2.459 * [backup-simplify]: Simplify (- 1) into -1
2.459 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.459 * [backup-simplify]: Simplify (sqrt 0) into 0
2.460 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.460 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
2.460 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
2.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.460 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.460 * [taylor]: Taking taylor expansion of x in x
2.460 * [backup-simplify]: Simplify 0 into 0
2.460 * [backup-simplify]: Simplify 1 into 1
2.461 * [backup-simplify]: Simplify (* 1 1) into 1
2.461 * [backup-simplify]: Simplify (/ 1 1) into 1
2.461 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.461 * [taylor]: Taking taylor expansion of y in x
2.461 * [backup-simplify]: Simplify y into y
2.461 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.461 * [backup-simplify]: Simplify (+ 1 0) into 1
2.461 * [backup-simplify]: Simplify (sqrt 1) into 1
2.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.462 * [backup-simplify]: Simplify (+ 0 0) into 0
2.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.463 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
2.463 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
2.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.463 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.463 * [taylor]: Taking taylor expansion of x in x
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify 1 into 1
2.463 * [backup-simplify]: Simplify (* 1 1) into 1
2.463 * [backup-simplify]: Simplify (/ 1 1) into 1
2.463 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.463 * [taylor]: Taking taylor expansion of y in x
2.464 * [backup-simplify]: Simplify y into y
2.464 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.464 * [backup-simplify]: Simplify (+ 1 0) into 1
2.464 * [backup-simplify]: Simplify (sqrt 1) into 1
2.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.465 * [backup-simplify]: Simplify (+ 0 0) into 0
2.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.466 * [taylor]: Taking taylor expansion of 1 in y
2.466 * [backup-simplify]: Simplify 1 into 1
2.466 * [taylor]: Taking taylor expansion of 0 in y
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 1 into 1
2.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.467 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
2.467 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
2.468 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
2.468 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
2.468 * [taylor]: Taking taylor expansion of -1/2 in y
2.468 * [backup-simplify]: Simplify -1/2 into -1/2
2.468 * [taylor]: Taking taylor expansion of y in y
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 1 into 1
2.468 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.468 * [backup-simplify]: Simplify -1/2 into -1/2
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.470 * [backup-simplify]: Simplify (- 0) into 0
2.470 * [backup-simplify]: Simplify (+ 0 0) into 0
2.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
2.470 * [taylor]: Taking taylor expansion of 0 in y
2.470 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.473 * [backup-simplify]: Simplify (- 0) into 0
2.473 * [backup-simplify]: Simplify (+ 0 0) into 0
2.474 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
2.474 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
2.474 * [taylor]: Taking taylor expansion of -1/8 in y
2.474 * [backup-simplify]: Simplify -1/8 into -1/8
2.474 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.474 * [taylor]: Taking taylor expansion of y in y
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify 1 into 1
2.474 * [backup-simplify]: Simplify (* 1 1) into 1
2.474 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
2.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
2.475 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
2.476 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.476 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) into (sqrt (+ (pow x 2) y))
2.476 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
2.476 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
2.476 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
2.476 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.476 * [taylor]: Taking taylor expansion of x in y
2.476 * [backup-simplify]: Simplify x into x
2.476 * [taylor]: Taking taylor expansion of y in y
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify 1 into 1
2.476 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.476 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.476 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.476 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.477 * [backup-simplify]: Simplify (+ 0 1) into 1
2.477 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
2.477 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
2.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
2.477 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.477 * [taylor]: Taking taylor expansion of x in x
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [taylor]: Taking taylor expansion of y in x
2.477 * [backup-simplify]: Simplify y into y
2.477 * [backup-simplify]: Simplify (+ 0 y) into y
2.477 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
2.477 * [backup-simplify]: Simplify (+ 0 0) into 0
2.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
2.477 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
2.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
2.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.478 * [taylor]: Taking taylor expansion of x in x
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.478 * [taylor]: Taking taylor expansion of y in x
2.478 * [backup-simplify]: Simplify y into y
2.478 * [backup-simplify]: Simplify (+ 0 y) into y
2.478 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
2.478 * [backup-simplify]: Simplify (+ 0 0) into 0
2.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
2.478 * [taylor]: Taking taylor expansion of (sqrt y) in y
2.478 * [taylor]: Taking taylor expansion of y in y
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.478 * [backup-simplify]: Simplify (sqrt 0) into 0
2.479 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [taylor]: Taking taylor expansion of 0 in y
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.480 * [backup-simplify]: Simplify (* 1 1) into 1
2.480 * [backup-simplify]: Simplify (+ 1 0) into 1
2.480 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
2.480 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
2.480 * [taylor]: Taking taylor expansion of 1/2 in y
2.480 * [backup-simplify]: Simplify 1/2 into 1/2
2.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
2.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.481 * [taylor]: Taking taylor expansion of y in y
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 1 into 1
2.481 * [backup-simplify]: Simplify (/ 1 1) into 1
2.481 * [backup-simplify]: Simplify (sqrt 0) into 0
2.482 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.483 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
2.483 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.483 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.485 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.485 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
2.486 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
2.486 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
2.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
2.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.486 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.486 * [taylor]: Taking taylor expansion of x in y
2.486 * [backup-simplify]: Simplify x into x
2.486 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.486 * [taylor]: Taking taylor expansion of y in y
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify 1 into 1
2.487 * [backup-simplify]: Simplify (/ 1 1) into 1
2.487 * [backup-simplify]: Simplify (+ 0 1) into 1
2.487 * [backup-simplify]: Simplify (sqrt 0) into 0
2.489 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
2.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.489 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.489 * [taylor]: Taking taylor expansion of x in x
2.489 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify 1 into 1
2.489 * [backup-simplify]: Simplify (* 1 1) into 1
2.490 * [backup-simplify]: Simplify (/ 1 1) into 1
2.490 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.490 * [taylor]: Taking taylor expansion of y in x
2.490 * [backup-simplify]: Simplify y into y
2.490 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.490 * [backup-simplify]: Simplify (+ 1 0) into 1
2.491 * [backup-simplify]: Simplify (sqrt 1) into 1
2.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.492 * [backup-simplify]: Simplify (+ 0 0) into 0
2.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
2.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
2.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.493 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.493 * [taylor]: Taking taylor expansion of x in x
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 1 into 1
2.494 * [backup-simplify]: Simplify (* 1 1) into 1
2.494 * [backup-simplify]: Simplify (/ 1 1) into 1
2.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.494 * [taylor]: Taking taylor expansion of y in x
2.494 * [backup-simplify]: Simplify y into y
2.494 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.495 * [backup-simplify]: Simplify (+ 1 0) into 1
2.495 * [backup-simplify]: Simplify (sqrt 1) into 1
2.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.497 * [backup-simplify]: Simplify (+ 0 0) into 0
2.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.498 * [taylor]: Taking taylor expansion of 1 in y
2.498 * [backup-simplify]: Simplify 1 into 1
2.498 * [taylor]: Taking taylor expansion of 0 in y
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 1 into 1
2.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.500 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
2.501 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
2.501 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.501 * [taylor]: Taking taylor expansion of 1/2 in y
2.501 * [backup-simplify]: Simplify 1/2 into 1/2
2.501 * [taylor]: Taking taylor expansion of y in y
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 1 into 1
2.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.501 * [backup-simplify]: Simplify 1/2 into 1/2
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.503 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
2.504 * [taylor]: Taking taylor expansion of 0 in y
2.504 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.508 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
2.509 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
2.509 * [taylor]: Taking taylor expansion of -1/8 in y
2.509 * [backup-simplify]: Simplify -1/8 into -1/8
2.509 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.509 * [taylor]: Taking taylor expansion of y in y
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify (* 1 1) into 1
2.510 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
2.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
2.512 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
2.512 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
2.512 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
2.512 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
2.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.512 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.512 * [taylor]: Taking taylor expansion of x in y
2.512 * [backup-simplify]: Simplify x into x
2.512 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.512 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.512 * [taylor]: Taking taylor expansion of y in y
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 1 into 1
2.513 * [backup-simplify]: Simplify (/ 1 1) into 1
2.513 * [backup-simplify]: Simplify (- 1) into -1
2.513 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.514 * [backup-simplify]: Simplify (sqrt 0) into 0
2.515 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.515 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
2.515 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
2.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.515 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.515 * [taylor]: Taking taylor expansion of x in x
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify 1 into 1
2.515 * [backup-simplify]: Simplify (* 1 1) into 1
2.516 * [backup-simplify]: Simplify (/ 1 1) into 1
2.516 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.516 * [taylor]: Taking taylor expansion of y in x
2.516 * [backup-simplify]: Simplify y into y
2.516 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.516 * [backup-simplify]: Simplify (+ 1 0) into 1
2.517 * [backup-simplify]: Simplify (sqrt 1) into 1
2.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.518 * [backup-simplify]: Simplify (+ 0 0) into 0
2.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.519 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
2.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
2.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.519 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.519 * [taylor]: Taking taylor expansion of x in x
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 1 into 1
2.519 * [backup-simplify]: Simplify (* 1 1) into 1
2.520 * [backup-simplify]: Simplify (/ 1 1) into 1
2.520 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.520 * [taylor]: Taking taylor expansion of y in x
2.520 * [backup-simplify]: Simplify y into y
2.520 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.520 * [backup-simplify]: Simplify (+ 1 0) into 1
2.520 * [backup-simplify]: Simplify (sqrt 1) into 1
2.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.522 * [backup-simplify]: Simplify (+ 0 0) into 0
2.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.523 * [taylor]: Taking taylor expansion of 1 in y
2.523 * [backup-simplify]: Simplify 1 into 1
2.523 * [taylor]: Taking taylor expansion of 0 in y
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 1 into 1
2.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.525 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
2.525 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
2.526 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
2.526 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
2.526 * [taylor]: Taking taylor expansion of -1/2 in y
2.526 * [backup-simplify]: Simplify -1/2 into -1/2
2.526 * [taylor]: Taking taylor expansion of y in y
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify 1 into 1
2.526 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.526 * [backup-simplify]: Simplify -1/2 into -1/2
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.532 * [backup-simplify]: Simplify (- 0) into 0
2.532 * [backup-simplify]: Simplify (+ 0 0) into 0
2.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
2.533 * [taylor]: Taking taylor expansion of 0 in y
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 0 into 0
2.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.536 * [backup-simplify]: Simplify (- 0) into 0
2.536 * [backup-simplify]: Simplify (+ 0 0) into 0
2.537 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
2.537 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
2.537 * [taylor]: Taking taylor expansion of -1/8 in y
2.537 * [backup-simplify]: Simplify -1/8 into -1/8
2.537 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.537 * [taylor]: Taking taylor expansion of y in y
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [backup-simplify]: Simplify 1 into 1
2.538 * [backup-simplify]: Simplify (* 1 1) into 1
2.538 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
2.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
2.539 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
2.540 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
2.540 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* x x) y))) into (pow (+ (pow x 2) y) 1/4)
2.540 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0
2.540 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y
2.540 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y
2.540 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y
2.540 * [taylor]: Taking taylor expansion of 1/4 in y
2.540 * [backup-simplify]: Simplify 1/4 into 1/4
2.540 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y
2.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
2.540 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.540 * [taylor]: Taking taylor expansion of x in y
2.540 * [backup-simplify]: Simplify x into x
2.540 * [taylor]: Taking taylor expansion of y in y
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 1 into 1
2.540 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.540 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.541 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
2.541 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2)))
2.541 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4)
2.541 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x
2.541 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x
2.541 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x
2.541 * [taylor]: Taking taylor expansion of 1/4 in x
2.541 * [backup-simplify]: Simplify 1/4 into 1/4
2.541 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x
2.541 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
2.541 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.541 * [taylor]: Taking taylor expansion of x in x
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify 1 into 1
2.541 * [taylor]: Taking taylor expansion of y in x
2.541 * [backup-simplify]: Simplify y into y
2.541 * [backup-simplify]: Simplify (+ 0 y) into y
2.541 * [backup-simplify]: Simplify (log y) into (log y)
2.541 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y))
2.541 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4)
2.541 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x
2.541 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x
2.541 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x
2.541 * [taylor]: Taking taylor expansion of 1/4 in x
2.542 * [backup-simplify]: Simplify 1/4 into 1/4
2.542 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x
2.542 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
2.542 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.542 * [taylor]: Taking taylor expansion of x in x
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [taylor]: Taking taylor expansion of y in x
2.542 * [backup-simplify]: Simplify y into y
2.542 * [backup-simplify]: Simplify (+ 0 y) into y
2.542 * [backup-simplify]: Simplify (log y) into (log y)
2.542 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y))
2.542 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4)
2.542 * [taylor]: Taking taylor expansion of (pow y 1/4) in y
2.542 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y
2.542 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y
2.542 * [taylor]: Taking taylor expansion of 1/4 in y
2.542 * [backup-simplify]: Simplify 1/4 into 1/4
2.542 * [taylor]: Taking taylor expansion of (log y) in y
2.542 * [taylor]: Taking taylor expansion of y in y
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.543 * [backup-simplify]: Simplify (log 1) into 0
2.543 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
2.543 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y))
2.543 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4)
2.543 * [backup-simplify]: Simplify (pow y 1/4) into (pow y 1/4)
2.544 * [backup-simplify]: Simplify (+ 0 0) into 0
2.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0
2.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0
2.546 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
2.546 * [taylor]: Taking taylor expansion of 0 in y
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.547 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
2.547 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0
2.547 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
2.548 * [backup-simplify]: Simplify 0 into 0
2.548 * [backup-simplify]: Simplify (* 1 1) into 1
2.548 * [backup-simplify]: Simplify (+ 1 0) into 1
2.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow y 1)))) 2) into (/ 1 y)
2.549 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (log y)))) into (* 1/4 (/ 1 y))
2.550 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 y)) 1) 1)))) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4))
2.550 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y
2.550 * [taylor]: Taking taylor expansion of 1/4 in y
2.550 * [backup-simplify]: Simplify 1/4 into 1/4
2.550 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y
2.550 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y
2.550 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y
2.550 * [taylor]: Taking taylor expansion of 1/4 in y
2.550 * [backup-simplify]: Simplify 1/4 into 1/4
2.550 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y
2.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
2.550 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.550 * [taylor]: Taking taylor expansion of y in y
2.550 * [backup-simplify]: Simplify 0 into 0
2.550 * [backup-simplify]: Simplify 1 into 1
2.551 * [backup-simplify]: Simplify (* 1 1) into 1
2.551 * [backup-simplify]: Simplify (* 1 1) into 1
2.551 * [backup-simplify]: Simplify (/ 1 1) into 1
2.551 * [backup-simplify]: Simplify (log 1) into 0
2.551 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y)))
2.552 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log y)))) into (* -3/4 (log y))
2.552 * [backup-simplify]: Simplify (exp (* -3/4 (log y))) into (pow y -3/4)
2.552 * [backup-simplify]: Simplify (* 1/4 (pow y -3/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4))
2.552 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4))
2.552 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.554 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
2.554 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log y)))) into 0
2.555 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.556 * [backup-simplify]: Simplify (+ 0 0) into 0
2.558 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow y 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow y 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow y 1)))) 6) into 0
2.558 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (log y))))) into 0
2.560 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.560 * [taylor]: Taking taylor expansion of 0 in y
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.562 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y)))
2.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log y))))) into 0
2.563 * [backup-simplify]: Simplify (* (exp (* -3/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
2.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow y -3/4))) into 0
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.567 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y)
2.568 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log y))))) into 0
2.569 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.569 * [backup-simplify]: Simplify 0 into 0
2.569 * [backup-simplify]: Simplify (+ (* (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) (pow (* 1 x) 2)) (pow y 1/4)) into (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4))
2.570 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4)
2.570 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0
2.570 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y
2.570 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y
2.570 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y
2.570 * [taylor]: Taking taylor expansion of 1/4 in y
2.570 * [backup-simplify]: Simplify 1/4 into 1/4
2.570 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y
2.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
2.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.570 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.570 * [taylor]: Taking taylor expansion of x in y
2.570 * [backup-simplify]: Simplify x into x
2.570 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.570 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.570 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.570 * [taylor]: Taking taylor expansion of y in y
2.570 * [backup-simplify]: Simplify 0 into 0
2.570 * [backup-simplify]: Simplify 1 into 1
2.571 * [backup-simplify]: Simplify (/ 1 1) into 1
2.571 * [backup-simplify]: Simplify (+ 0 1) into 1
2.571 * [backup-simplify]: Simplify (log 1) into 0
2.572 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y))
2.572 * [backup-simplify]: Simplify (* 1/4 (- (log y))) into (* -1/4 (log y))
2.572 * [backup-simplify]: Simplify (exp (* -1/4 (log y))) into (pow y -1/4)
2.572 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
2.572 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x
2.572 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x
2.572 * [taylor]: Taking taylor expansion of 1/4 in x
2.572 * [backup-simplify]: Simplify 1/4 into 1/4
2.572 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x
2.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
2.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.572 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.572 * [taylor]: Taking taylor expansion of x in x
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (* 1 1) into 1
2.573 * [backup-simplify]: Simplify (/ 1 1) into 1
2.573 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.573 * [taylor]: Taking taylor expansion of y in x
2.573 * [backup-simplify]: Simplify y into y
2.573 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.573 * [backup-simplify]: Simplify (+ 1 0) into 1
2.574 * [backup-simplify]: Simplify (log 1) into 0
2.574 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.574 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
2.574 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.574 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
2.574 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x
2.574 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x
2.574 * [taylor]: Taking taylor expansion of 1/4 in x
2.574 * [backup-simplify]: Simplify 1/4 into 1/4
2.574 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x
2.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
2.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.574 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.574 * [taylor]: Taking taylor expansion of x in x
2.574 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify 1 into 1
2.575 * [backup-simplify]: Simplify (* 1 1) into 1
2.575 * [backup-simplify]: Simplify (/ 1 1) into 1
2.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.575 * [taylor]: Taking taylor expansion of y in x
2.575 * [backup-simplify]: Simplify y into y
2.575 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.575 * [backup-simplify]: Simplify (+ 1 0) into 1
2.575 * [backup-simplify]: Simplify (log 1) into 0
2.576 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.576 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
2.576 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.576 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
2.576 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
2.576 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
2.576 * [taylor]: Taking taylor expansion of -1/2 in y
2.576 * [backup-simplify]: Simplify -1/2 into -1/2
2.576 * [taylor]: Taking taylor expansion of (log x) in y
2.576 * [taylor]: Taking taylor expansion of x in y
2.576 * [backup-simplify]: Simplify x into x
2.576 * [backup-simplify]: Simplify (log x) into (log x)
2.576 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
2.576 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.577 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
2.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.578 * [backup-simplify]: Simplify (+ 0 0) into 0
2.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.579 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
2.580 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.580 * [taylor]: Taking taylor expansion of 0 in y
2.580 * [backup-simplify]: Simplify 0 into 0
2.580 * [backup-simplify]: Simplify 0 into 0
2.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
2.581 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
2.581 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.581 * [backup-simplify]: Simplify 0 into 0
2.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.583 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
2.584 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 y)) 1)) (pow 1 1)))) 2) into (/ 1 y)
2.584 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.584 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 y))
2.585 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 y)) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y)))
2.585 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y
2.585 * [taylor]: Taking taylor expansion of 1/4 in y
2.585 * [backup-simplify]: Simplify 1/4 into 1/4
2.585 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y
2.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
2.585 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.585 * [taylor]: Taking taylor expansion of x in y
2.585 * [backup-simplify]: Simplify x into x
2.585 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.585 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
2.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
2.585 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.585 * [taylor]: Taking taylor expansion of y in y
2.585 * [backup-simplify]: Simplify 0 into 0
2.585 * [backup-simplify]: Simplify 1 into 1
2.586 * [backup-simplify]: Simplify (/ 1 1) into 1
2.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.586 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
2.587 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
2.587 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (sqrt (/ 1 x)))) into 0
2.587 * [backup-simplify]: Simplify 0 into 0
2.587 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
2.589 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
2.589 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.589 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.591 * [backup-simplify]: Simplify (+ 0 0) into 0
2.593 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 y)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.593 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.594 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
2.595 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.595 * [taylor]: Taking taylor expansion of 0 in y
2.595 * [backup-simplify]: Simplify 0 into 0
2.595 * [backup-simplify]: Simplify 0 into 0
2.595 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2)
2.595 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4)
2.595 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0
2.595 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y
2.595 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y
2.595 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y
2.595 * [taylor]: Taking taylor expansion of 1/4 in y
2.595 * [backup-simplify]: Simplify 1/4 into 1/4
2.596 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y
2.596 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
2.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.596 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.596 * [taylor]: Taking taylor expansion of x in y
2.596 * [backup-simplify]: Simplify x into x
2.596 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.596 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.596 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.596 * [taylor]: Taking taylor expansion of y in y
2.596 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify 1 into 1
2.596 * [backup-simplify]: Simplify (/ 1 1) into 1
2.596 * [backup-simplify]: Simplify (- 1) into -1
2.597 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.597 * [backup-simplify]: Simplify (log -1) into (log -1)
2.597 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y))
2.598 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log y))) into (* 1/4 (- (log -1) (log y)))
2.598 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log y)))) into (exp (* 1/4 (- (log -1) (log y))))
2.598 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
2.598 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x
2.598 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x
2.598 * [taylor]: Taking taylor expansion of 1/4 in x
2.598 * [backup-simplify]: Simplify 1/4 into 1/4
2.598 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x
2.598 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
2.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.598 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.598 * [taylor]: Taking taylor expansion of x in x
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify 1 into 1
2.598 * [backup-simplify]: Simplify (* 1 1) into 1
2.599 * [backup-simplify]: Simplify (/ 1 1) into 1
2.599 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.599 * [taylor]: Taking taylor expansion of y in x
2.599 * [backup-simplify]: Simplify y into y
2.599 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.599 * [backup-simplify]: Simplify (+ 1 0) into 1
2.599 * [backup-simplify]: Simplify (log 1) into 0
2.599 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.600 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
2.600 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.600 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x
2.600 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x
2.600 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x
2.600 * [taylor]: Taking taylor expansion of 1/4 in x
2.600 * [backup-simplify]: Simplify 1/4 into 1/4
2.600 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x
2.600 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
2.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.600 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.600 * [taylor]: Taking taylor expansion of x in x
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify 1 into 1
2.600 * [backup-simplify]: Simplify (* 1 1) into 1
2.600 * [backup-simplify]: Simplify (/ 1 1) into 1
2.600 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.600 * [taylor]: Taking taylor expansion of y in x
2.600 * [backup-simplify]: Simplify y into y
2.600 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.601 * [backup-simplify]: Simplify (+ 1 0) into 1
2.601 * [backup-simplify]: Simplify (log 1) into 0
2.601 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.601 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
2.601 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.601 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
2.602 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
2.602 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
2.602 * [taylor]: Taking taylor expansion of -1/2 in y
2.602 * [backup-simplify]: Simplify -1/2 into -1/2
2.602 * [taylor]: Taking taylor expansion of (log x) in y
2.602 * [taylor]: Taking taylor expansion of x in y
2.602 * [backup-simplify]: Simplify x into x
2.602 * [backup-simplify]: Simplify (log x) into (log x)
2.602 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
2.602 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.602 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
2.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.603 * [backup-simplify]: Simplify (+ 0 0) into 0
2.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.604 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.604 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
2.605 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.605 * [taylor]: Taking taylor expansion of 0 in y
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
2.606 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
2.606 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.606 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.607 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
2.607 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
2.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 y))) 1)) (pow 1 1)))) 2) into (/ -1 y)
2.609 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.609 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (- (* 1/4 (/ 1 y)))
2.610 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 y))) 1) 1)))) into (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y)))
2.610 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y
2.610 * [taylor]: Taking taylor expansion of -1/4 in y
2.610 * [backup-simplify]: Simplify -1/4 into -1/4
2.610 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y
2.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
2.610 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.610 * [taylor]: Taking taylor expansion of x in y
2.610 * [backup-simplify]: Simplify x into x
2.610 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.610 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
2.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
2.610 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.610 * [taylor]: Taking taylor expansion of y in y
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify 1 into 1
2.610 * [backup-simplify]: Simplify (/ 1 1) into 1
2.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.611 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
2.611 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
2.611 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (sqrt (/ 1 x)))) into 0
2.612 * [backup-simplify]: Simplify 0 into 0
2.612 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
2.613 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
2.614 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.614 * [backup-simplify]: Simplify 0 into 0
2.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.615 * [backup-simplify]: Simplify (- 0) into 0
2.616 * [backup-simplify]: Simplify (+ 0 0) into 0
2.618 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (/ 1 y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.618 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.618 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
2.620 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/4 (/ 1 y))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.620 * [taylor]: Taking taylor expansion of 0 in y
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/2) into (pow (/ -1 x) -1/2)
2.620 * * * [progress]: simplifying candidates
2.622 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
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  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
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  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
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  (sqrt 1)
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  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
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  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (+ (* x x) y) (+ (* x x) y))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (* (+ (* x x) y) (+ (* x x) y))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y)))))
  (log (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (exp (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))))
  (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))
  (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* x x) y))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y))))
  (* (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))))
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  (* (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* x x) y))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt 1))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (+ (* x x) y))) 1)
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  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
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  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (* x x) y))))
  (log (sqrt (sqrt (+ (* x x) y))))
  (exp (sqrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (cbrt (sqrt (sqrt (+ (* x x) y))))
  (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
  (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))
  (sqrt (cbrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))
  (sqrt (sqrt (cbrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt 1)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))
  (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))
  (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))
  (sqrt (sqrt (- (* x x) y)))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4))
  (pow (/ 1 x) -1/2)
  (pow (/ -1 x) -1/2)
2.625 * * [simplify]: Extracting # 0 : cost  0
2.625 * * [simplify]: Extracting # 1 : cost  0
2.625 * * [simplify]: Extracting # 2 : cost  0
2.625 * * [simplify]: Extracting # 3 : cost  0
2.625 * * [simplify]: Extracting # 4 : cost  0
2.626 * * [simplify]: Extracting # 5 : cost  0
2.626 * * [simplify]: Extracting # 6 : cost  0
2.626 * * [simplify]: Extracting # 7 : cost  0
2.626 * * [simplify]: Extracting # 8 : cost  0
2.626 * * [simplify]: Extracting # 9 : cost  0
2.626 * * [simplify]: Extracting # 10 : cost  0
2.627 * * [simplify]: Extracting # 11 : cost  0
2.627 * * [simplify]: iteration  0 :  138  enodes  (cost  2475 )
2.674 * * [simplify]: Extracting # 0 : cost  0
2.674 * * [simplify]: Extracting # 1 : cost  0
2.675 * * [simplify]: Extracting # 2 : cost  0
2.675 * * [simplify]: Extracting # 3 : cost  0
2.676 * * [simplify]: Extracting # 4 : cost  0
2.676 * * [simplify]: iteration  1 :  308  enodes  (cost  1579 )
2.833 * * [simplify]: Extracting # 0 : cost  0
2.834 * * [simplify]: Extracting # 1 : cost  0
2.836 * * [simplify]: Extracting # 2 : cost  0
2.837 * * [simplify]: Extracting # 3 : cost  0
2.838 * * [simplify]: Extracting # 4 : cost  0
2.839 * * [simplify]: Extracting # 5 : cost  0
2.841 * * [simplify]: iteration  2 :  1334  enodes  (cost  1419 )
3.650 * * [simplify]: Extracting # 0 : cost  0
3.665 * * [simplify]: Extracting # 1 : cost  0
3.676 * * [simplify]: Extracting # 2 : cost  0
3.682 * * [simplify]: Extracting # 3 : cost  0
3.688 * * [simplify]: Extracting # 4 : cost  0
3.694 * * [simplify]: iteration done:  5000  enodes  (cost  1396 )
3.695 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (sqrt (+ y (* x x))) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  1
  (sqrt (+ y (* x x)))
  (sqrt (+ (pow y 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* y (- y (* x x)))))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (sqrt (+ y (* x x))) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  1
  (sqrt (+ y (* x x)))
  (sqrt (+ (pow y 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* y (- y (* x x)))))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ y (* x x))
  (sqrt (+ y (* x x)))
  (pow (sqrt (+ y (* x x))) (+ 3 1))
  (+ y (* x x))
  (pow (sqrt (+ y (* x x))) (+ 3 1))
  2
  (log (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (pow (sqrt (+ y (* x x))) 3)
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (sqrt (+ y (* x x))) 3)
  (+ y (* x x))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (+ (pow y 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* y (- y (* x x)))))
  (* (sqrt (sqrt (+ (pow y 3) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (* y y)))))
  (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (+ (pow x 4) (* y (- y (* x x)))))))
  (* (sqrt (sqrt (+ (pow y 3) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (* y y)))))
  (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (+ (pow x 4) (* y (- y (* x x)))))))
  (sqrt (- (pow x 4) (* y y)))
  (sqrt (- (* x x) y))
  (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) (+ 3 1))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  1
  (sqrt (+ y (* x x)))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  1
  (sqrt (+ y (* x x)))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  1
  (sqrt (+ y (* x x)))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
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  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ y (* x x))))
  1
  2
  1/2
  1
  1/2
  (* (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) (+ 3 1)) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (+ (* x x) y))) (fabs (cbrt (sqrt (+ (* x x) y)))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (fabs (cbrt (+ (* x x) y)))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3)
  (sqrt (sqrt (+ y (* x x))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3)
  (sqrt (sqrt (+ y (* x x))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3)
  (sqrt (sqrt (+ y (* x x))))
  (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) (+ 3 1))
  (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))
  (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3)
  (sqrt (+ y (* x x)))
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  (sqrt (+ y (* x x)))
  (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3)
  (sqrt (+ y (* x x)))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow y 3) (pow x 6)))))
  (* (sqrt (sqrt (- (pow x 4) (* y y)))) (sqrt (sqrt (+ (* x x) y))))
  (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow y 3) (pow x 6)))))
  (* (sqrt (sqrt (- (pow x 4) (* y y)))) (sqrt (sqrt (+ (* x x) y))))
  (log (sqrt (sqrt (+ (* x x) y))))
  (exp (sqrt (sqrt (+ (* x x) y))))
  (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))
  (cbrt (sqrt (sqrt (+ (* x x) y))))
  (pow (sqrt (sqrt (+ y (* x x)))) 3)
  (fabs (cbrt (sqrt (+ (* x x) y))))
  (sqrt (cbrt (sqrt (+ (* x x) y))))
  (sqrt (fabs (cbrt (+ (* x x) y))))
  (sqrt (sqrt (cbrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  1
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  1
  (sqrt (sqrt (+ y (* x x))))
  (sqrt (sqrt (+ (pow y 3) (pow x 6))))
  (sqrt (sqrt (+ (pow x 4) (* y (- y (* x x))))))
  (sqrt (sqrt (- (pow x 4) (* y y))))
  (sqrt (sqrt (- (* x x) y)))
  1/4
  1/2
  1/4
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (sqrt (sqrt (sqrt (+ (* x x) y))))
  (* +nan.0 (+ (- (* y y) y) (- (* x x))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (* +nan.0 (+ (- (* y y) y) (- (* x x))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (* +nan.0 (+ (- (* y y) y) (- (* x x))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4))
  (pow (/ 1 x) -1/2)
  (pow (/ -1 x) -1/2)
3.696 * * * [progress]: adding candidates to table
4.210 * * [progress]: iteration 3 / 4
4.210 * * * [progress]: picking best candidate
4.214 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
4.214 * * * [progress]: localizing error
4.220 * * * [progress]: generating rewritten candidates
4.220 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
4.226 * * * [progress]: generating series expansions
4.226 * * * * [progress]: [ 1 / 1 ] generating series at (2)
4.227 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x)))
4.227 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0
4.227 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
4.227 * [taylor]: Taking taylor expansion of x in y
4.227 * [backup-simplify]: Simplify x into x
4.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
4.227 * [taylor]: Taking taylor expansion of 1/2 in y
4.227 * [backup-simplify]: Simplify 1/2 into 1/2
4.227 * [taylor]: Taking taylor expansion of (/ y x) in y
4.227 * [taylor]: Taking taylor expansion of y in y
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 1 into 1
4.227 * [taylor]: Taking taylor expansion of x in y
4.227 * [backup-simplify]: Simplify x into x
4.227 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.227 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
4.227 * [taylor]: Taking taylor expansion of x in x
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 1 into 1
4.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
4.227 * [taylor]: Taking taylor expansion of 1/2 in x
4.227 * [backup-simplify]: Simplify 1/2 into 1/2
4.227 * [taylor]: Taking taylor expansion of (/ y x) in x
4.227 * [taylor]: Taking taylor expansion of y in x
4.227 * [backup-simplify]: Simplify y into y
4.227 * [taylor]: Taking taylor expansion of x in x
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 1 into 1
4.227 * [backup-simplify]: Simplify (/ y 1) into y
4.227 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
4.227 * [taylor]: Taking taylor expansion of x in x
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 1 into 1
4.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
4.227 * [taylor]: Taking taylor expansion of 1/2 in x
4.227 * [backup-simplify]: Simplify 1/2 into 1/2
4.227 * [taylor]: Taking taylor expansion of (/ y x) in x
4.227 * [taylor]: Taking taylor expansion of y in x
4.227 * [backup-simplify]: Simplify y into y
4.227 * [taylor]: Taking taylor expansion of x in x
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 1 into 1
4.227 * [backup-simplify]: Simplify (/ y 1) into y
4.227 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
4.227 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y)
4.228 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
4.228 * [taylor]: Taking taylor expansion of 1/2 in y
4.228 * [backup-simplify]: Simplify 1/2 into 1/2
4.228 * [taylor]: Taking taylor expansion of y in y
4.228 * [backup-simplify]: Simplify 0 into 0
4.228 * [backup-simplify]: Simplify 1 into 1
4.228 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.228 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0
4.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
4.229 * [backup-simplify]: Simplify (+ 0 0) into 0
4.229 * [taylor]: Taking taylor expansion of 0 in y
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify 0 into 0
4.230 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.230 * [backup-simplify]: Simplify 1/2 into 1/2
4.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
4.231 * [backup-simplify]: Simplify (+ 1 0) into 1
4.231 * [taylor]: Taking taylor expansion of 1 in y
4.231 * [backup-simplify]: Simplify 1 into 1
4.231 * [backup-simplify]: Simplify 1 into 1
4.231 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.232 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.234 * [backup-simplify]: Simplify (+ 0 0) into 0
4.234 * [taylor]: Taking taylor expansion of 0 in y
4.234 * [backup-simplify]: Simplify 0 into 0
4.234 * [backup-simplify]: Simplify 0 into 0
4.234 * [backup-simplify]: Simplify 0 into 0
4.234 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
4.235 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x))
4.235 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
4.235 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
4.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.236 * [taylor]: Taking taylor expansion of 1/2 in y
4.236 * [backup-simplify]: Simplify 1/2 into 1/2
4.236 * [taylor]: Taking taylor expansion of (/ x y) in y
4.236 * [taylor]: Taking taylor expansion of x in y
4.236 * [backup-simplify]: Simplify x into x
4.236 * [taylor]: Taking taylor expansion of y in y
4.236 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify 1 into 1
4.236 * [backup-simplify]: Simplify (/ x 1) into x
4.236 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.236 * [taylor]: Taking taylor expansion of x in y
4.236 * [backup-simplify]: Simplify x into x
4.236 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.236 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
4.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.236 * [taylor]: Taking taylor expansion of 1/2 in x
4.236 * [backup-simplify]: Simplify 1/2 into 1/2
4.236 * [taylor]: Taking taylor expansion of (/ x y) in x
4.236 * [taylor]: Taking taylor expansion of x in x
4.236 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify 1 into 1
4.236 * [taylor]: Taking taylor expansion of y in x
4.236 * [backup-simplify]: Simplify y into y
4.236 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.236 * [taylor]: Taking taylor expansion of x in x
4.236 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify 1 into 1
4.236 * [backup-simplify]: Simplify (/ 1 1) into 1
4.236 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
4.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.236 * [taylor]: Taking taylor expansion of 1/2 in x
4.236 * [backup-simplify]: Simplify 1/2 into 1/2
4.236 * [taylor]: Taking taylor expansion of (/ x y) in x
4.236 * [taylor]: Taking taylor expansion of x in x
4.236 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify 1 into 1
4.236 * [taylor]: Taking taylor expansion of y in x
4.236 * [backup-simplify]: Simplify y into y
4.236 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.236 * [taylor]: Taking taylor expansion of x in x
4.237 * [backup-simplify]: Simplify 0 into 0
4.237 * [backup-simplify]: Simplify 1 into 1
4.237 * [backup-simplify]: Simplify (/ 1 1) into 1
4.237 * [backup-simplify]: Simplify (+ 0 1) into 1
4.237 * [taylor]: Taking taylor expansion of 1 in y
4.237 * [backup-simplify]: Simplify 1 into 1
4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.238 * [backup-simplify]: Simplify (+ 0 0) into 0
4.238 * [taylor]: Taking taylor expansion of 0 in y
4.238 * [backup-simplify]: Simplify 0 into 0
4.238 * [backup-simplify]: Simplify 1 into 1
4.238 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.239 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
4.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
4.239 * [taylor]: Taking taylor expansion of 1/2 in y
4.239 * [backup-simplify]: Simplify 1/2 into 1/2
4.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.239 * [taylor]: Taking taylor expansion of y in y
4.239 * [backup-simplify]: Simplify 0 into 0
4.239 * [backup-simplify]: Simplify 1 into 1
4.239 * [backup-simplify]: Simplify (/ 1 1) into 1
4.239 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.239 * [backup-simplify]: Simplify 1/2 into 1/2
4.239 * [backup-simplify]: Simplify 0 into 0
4.239 * [backup-simplify]: Simplify 0 into 0
4.239 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
4.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.240 * [backup-simplify]: Simplify (+ 0 0) into 0
4.240 * [taylor]: Taking taylor expansion of 0 in y
4.240 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.241 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify 0 into 0
4.242 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.243 * [backup-simplify]: Simplify (+ 0 0) into 0
4.243 * [taylor]: Taking taylor expansion of 0 in y
4.243 * [backup-simplify]: Simplify 0 into 0
4.243 * [backup-simplify]: Simplify 0 into 0
4.243 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
4.243 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x))
4.243 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0
4.243 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y
4.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
4.243 * [taylor]: Taking taylor expansion of 1/2 in y
4.243 * [backup-simplify]: Simplify 1/2 into 1/2
4.243 * [taylor]: Taking taylor expansion of (/ x y) in y
4.243 * [taylor]: Taking taylor expansion of x in y
4.243 * [backup-simplify]: Simplify x into x
4.243 * [taylor]: Taking taylor expansion of y in y
4.243 * [backup-simplify]: Simplify 0 into 0
4.243 * [backup-simplify]: Simplify 1 into 1
4.243 * [backup-simplify]: Simplify (/ x 1) into x
4.243 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.243 * [taylor]: Taking taylor expansion of x in y
4.243 * [backup-simplify]: Simplify x into x
4.244 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.244 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
4.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.244 * [taylor]: Taking taylor expansion of 1/2 in x
4.244 * [backup-simplify]: Simplify 1/2 into 1/2
4.244 * [taylor]: Taking taylor expansion of (/ x y) in x
4.244 * [taylor]: Taking taylor expansion of x in x
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 1 into 1
4.244 * [taylor]: Taking taylor expansion of y in x
4.244 * [backup-simplify]: Simplify y into y
4.244 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.244 * [taylor]: Taking taylor expansion of x in x
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 1 into 1
4.244 * [backup-simplify]: Simplify (/ 1 1) into 1
4.244 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x
4.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
4.244 * [taylor]: Taking taylor expansion of 1/2 in x
4.244 * [backup-simplify]: Simplify 1/2 into 1/2
4.244 * [taylor]: Taking taylor expansion of (/ x y) in x
4.244 * [taylor]: Taking taylor expansion of x in x
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 1 into 1
4.244 * [taylor]: Taking taylor expansion of y in x
4.244 * [backup-simplify]: Simplify y into y
4.244 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.244 * [taylor]: Taking taylor expansion of x in x
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 1 into 1
4.245 * [backup-simplify]: Simplify (/ 1 1) into 1
4.245 * [backup-simplify]: Simplify (- 1) into -1
4.245 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.245 * [taylor]: Taking taylor expansion of -1 in y
4.245 * [backup-simplify]: Simplify -1 into -1
4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.246 * [backup-simplify]: Simplify (- 0) into 0
4.246 * [backup-simplify]: Simplify (+ 0 0) into 0
4.246 * [taylor]: Taking taylor expansion of 0 in y
4.246 * [backup-simplify]: Simplify 0 into 0
4.246 * [backup-simplify]: Simplify -1 into -1
4.246 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.248 * [backup-simplify]: Simplify (- 0) into 0
4.248 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y))
4.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
4.248 * [taylor]: Taking taylor expansion of 1/2 in y
4.248 * [backup-simplify]: Simplify 1/2 into 1/2
4.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.248 * [taylor]: Taking taylor expansion of y in y
4.248 * [backup-simplify]: Simplify 0 into 0
4.248 * [backup-simplify]: Simplify 1 into 1
4.248 * [backup-simplify]: Simplify (/ 1 1) into 1
4.249 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.249 * [backup-simplify]: Simplify 1/2 into 1/2
4.249 * [backup-simplify]: Simplify 0 into 0
4.249 * [backup-simplify]: Simplify 0 into 0
4.249 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0
4.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.251 * [backup-simplify]: Simplify (- 0) into 0
4.251 * [backup-simplify]: Simplify (+ 0 0) into 0
4.251 * [taylor]: Taking taylor expansion of 0 in y
4.251 * [backup-simplify]: Simplify 0 into 0
4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.253 * [backup-simplify]: Simplify 0 into 0
4.253 * [backup-simplify]: Simplify 0 into 0
4.253 * [backup-simplify]: Simplify 0 into 0
4.253 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.256 * [backup-simplify]: Simplify (- 0) into 0
4.256 * [backup-simplify]: Simplify (+ 0 0) into 0
4.256 * [taylor]: Taking taylor expansion of 0 in y
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify 0 into 0
4.257 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
4.257 * * * [progress]: simplifying candidates
4.258 * [simplify]: Simplifying:
  (* (exp x) (exp (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (pow (* 1/2 (/ y x)) 3))
  (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x)))))
  (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x))))
  (- x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
4.258 * * [simplify]: Extracting # 0 : cost  0
4.258 * * [simplify]: Extracting # 1 : cost  0
4.258 * * [simplify]: Extracting # 2 : cost  0
4.258 * * [simplify]: Extracting # 3 : cost  0
4.258 * * [simplify]: Extracting # 4 : cost  0
4.259 * * [simplify]: Extracting # 5 : cost  0
4.259 * * [simplify]: Extracting # 6 : cost  0
4.259 * * [simplify]: iteration  0 :  27  enodes  (cost  166 )
4.272 * * [simplify]: Extracting # 0 : cost  0
4.272 * * [simplify]: Extracting # 1 : cost  0
4.272 * * [simplify]: Extracting # 2 : cost  0
4.272 * * [simplify]: Extracting # 3 : cost  0
4.273 * * [simplify]: iteration  1 :  86  enodes  (cost  157 )
4.301 * * [simplify]: Extracting # 0 : cost  0
4.301 * * [simplify]: Extracting # 1 : cost  0
4.302 * * [simplify]: Extracting # 2 : cost  0
4.302 * * [simplify]: Extracting # 3 : cost  0
4.302 * * [simplify]: Extracting # 4 : cost  0
4.308 * * [simplify]: iteration  2 :  302  enodes  (cost  143 )
4.520 * * [simplify]: Extracting # 0 : cost  0
4.523 * * [simplify]: Extracting # 1 : cost  0
4.525 * * [simplify]: Extracting # 2 : cost  0
4.527 * * [simplify]: Extracting # 3 : cost  0
4.529 * * [simplify]: Extracting # 4 : cost  0
4.531 * * [simplify]: iteration  3 :  1157  enodes  (cost  143 )
5.987 * * [simplify]: Extracting # 0 : cost  0
5.995 * * [simplify]: Extracting # 1 : cost  0
6.003 * * [simplify]: Extracting # 2 : cost  0
6.011 * * [simplify]: Extracting # 3 : cost  0
6.019 * * [simplify]: Extracting # 4 : cost  0
6.026 * * [simplify]: Extracting # 5 : cost  0
6.030 * * [simplify]: iteration  4 :  4751  enodes  (cost  143 )
7.481 * * [simplify]: Extracting # 0 : cost  0
7.489 * * [simplify]: Extracting # 1 : cost  0
7.497 * * [simplify]: Extracting # 2 : cost  0
7.506 * * [simplify]: iteration done:  5001  enodes  (cost  143 )
7.506 * [simplify]: Simplified to:
  (exp (+ x (* 1/2 (/ y x))))
  (log (+ x (* 1/2 (/ y x))))
  (exp (+ x (* 1/2 (/ y x))))
  (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x)))))
  (cbrt (+ x (* 1/2 (/ y x))))
  (pow (+ x (* 1/2 (/ y x))) 3)
  (sqrt (+ x (* 1/2 (/ y x))))
  (sqrt (+ x (* 1/2 (/ y x))))
  (+ (pow x 3) (pow (* 1/2 (/ y x)) 3))
  (+ (* x x) (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)))
  (- (* x x) (* 1/4 (* (/ y x) (/ y x))))
  (- x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
7.506 * * * [progress]: adding candidates to table
7.551 * * [progress]: iteration 4 / 4
7.551 * * * [progress]: picking best candidate
7.553 * * * * [pick]: Picked  #<alt (λ (x y) (- (* (/ y x) -1/2) x))>
7.553 * * * [progress]: localizing error
7.563 * * * [progress]: generating rewritten candidates
7.563 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
7.586 * * * [progress]: generating series expansions
7.586 * * * * [progress]: [ 1 / 1 ] generating series at (2)
7.586 * [backup-simplify]: Simplify (- (* (/ y x) -1/2) x) into (- (+ x (* 1/2 (/ y x))))
7.586 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0
7.586 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x
7.586 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x
7.587 * [taylor]: Taking taylor expansion of x in x
7.587 * [backup-simplify]: Simplify 0 into 0
7.587 * [backup-simplify]: Simplify 1 into 1
7.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x
7.587 * [taylor]: Taking taylor expansion of 1/2 in x
7.587 * [backup-simplify]: Simplify 1/2 into 1/2
7.587 * [taylor]: Taking taylor expansion of (/ y x) in x
7.587 * [taylor]: Taking taylor expansion of y in x
7.587 * [backup-simplify]: Simplify y into y
7.587 * [taylor]: Taking taylor expansion of x in x
7.587 * [backup-simplify]: Simplify 0 into 0
7.587 * [backup-simplify]: Simplify 1 into 1
7.587 * [backup-simplify]: Simplify (/ y 1) into y
7.587 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y
7.587 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
7.587 * [taylor]: Taking taylor expansion of x in y
7.587 * [backup-simplify]: Simplify x into x
7.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
7.587 * [taylor]: Taking taylor expansion of 1/2 in y
7.587 * [backup-simplify]: Simplify 1/2 into 1/2
7.587 * [taylor]: Taking taylor expansion of (/ y x) in y
7.587 * [taylor]: Taking taylor expansion of y in y
7.587 * [backup-simplify]: Simplify 0 into 0
7.587 * [backup-simplify]: Simplify 1 into 1
7.587 * [taylor]: Taking taylor expansion of x in y
7.587 * [backup-simplify]: Simplify x into x
7.587 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.587 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y
7.587 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y
7.587 * [taylor]: Taking taylor expansion of x in y
7.587 * [backup-simplify]: Simplify x into x
7.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y
7.587 * [taylor]: Taking taylor expansion of 1/2 in y
7.587 * [backup-simplify]: Simplify 1/2 into 1/2
7.587 * [taylor]: Taking taylor expansion of (/ y x) in y
7.588 * [taylor]: Taking taylor expansion of y in y
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify 1 into 1
7.588 * [taylor]: Taking taylor expansion of x in y
7.588 * [backup-simplify]: Simplify x into x
7.588 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.588 * [backup-simplify]: Simplify (+ x 0) into x
7.588 * [backup-simplify]: Simplify (- x) into (- x)
7.588 * [taylor]: Taking taylor expansion of (- x) in x
7.588 * [taylor]: Taking taylor expansion of x in x
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify 1 into 1
7.588 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
7.588 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x))
7.588 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x)))
7.588 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x
7.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x
7.588 * [taylor]: Taking taylor expansion of 1/2 in x
7.588 * [backup-simplify]: Simplify 1/2 into 1/2
7.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.588 * [taylor]: Taking taylor expansion of x in x
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify 1 into 1
7.589 * [backup-simplify]: Simplify (/ 1 1) into 1
7.589 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.590 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.590 * [backup-simplify]: Simplify -1/2 into -1/2
7.590 * [backup-simplify]: Simplify (- 0) into 0
7.590 * [backup-simplify]: Simplify 0 into 0
7.591 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
7.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0
7.591 * [backup-simplify]: Simplify (+ 0 0) into 0
7.592 * [backup-simplify]: Simplify (- 0) into 0
7.592 * [taylor]: Taking taylor expansion of 0 in x
7.592 * [backup-simplify]: Simplify 0 into 0
7.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.594 * [backup-simplify]: Simplify (- 0) into 0
7.594 * [backup-simplify]: Simplify 0 into 0
7.594 * [backup-simplify]: Simplify (- 1) into -1
7.594 * [backup-simplify]: Simplify -1 into -1
7.594 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
7.596 * [backup-simplify]: Simplify (+ 0 0) into 0
7.596 * [backup-simplify]: Simplify (- 0) into 0
7.596 * [taylor]: Taking taylor expansion of 0 in x
7.596 * [backup-simplify]: Simplify 0 into 0
7.596 * [backup-simplify]: Simplify 0 into 0
7.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.598 * [backup-simplify]: Simplify (- 0) into 0
7.598 * [backup-simplify]: Simplify 0 into 0
7.598 * [backup-simplify]: Simplify (- 0) into 0
7.599 * [backup-simplify]: Simplify 0 into 0
7.599 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
7.600 * [backup-simplify]: Simplify (+ 0 0) into 0
7.601 * [backup-simplify]: Simplify (- 0) into 0
7.601 * [taylor]: Taking taylor expansion of 0 in x
7.601 * [backup-simplify]: Simplify 0 into 0
7.601 * [backup-simplify]: Simplify 0 into 0
7.601 * [backup-simplify]: Simplify 0 into 0
7.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.603 * [backup-simplify]: Simplify (- 0) into 0
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x))))
7.604 * [backup-simplify]: Simplify (- (* (/ (/ 1 y) (/ 1 x)) -1/2) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x)))
7.604 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0
7.604 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x
7.604 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x
7.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
7.604 * [taylor]: Taking taylor expansion of 1/2 in x
7.604 * [backup-simplify]: Simplify 1/2 into 1/2
7.604 * [taylor]: Taking taylor expansion of (/ x y) in x
7.604 * [taylor]: Taking taylor expansion of x in x
7.604 * [backup-simplify]: Simplify 0 into 0
7.604 * [backup-simplify]: Simplify 1 into 1
7.604 * [taylor]: Taking taylor expansion of y in x
7.604 * [backup-simplify]: Simplify y into y
7.604 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.604 * [taylor]: Taking taylor expansion of x in x
7.604 * [backup-simplify]: Simplify 0 into 0
7.604 * [backup-simplify]: Simplify 1 into 1
7.604 * [backup-simplify]: Simplify (/ 1 1) into 1
7.604 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y
7.604 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
7.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
7.605 * [taylor]: Taking taylor expansion of 1/2 in y
7.605 * [backup-simplify]: Simplify 1/2 into 1/2
7.605 * [taylor]: Taking taylor expansion of (/ x y) in y
7.605 * [taylor]: Taking taylor expansion of x in y
7.605 * [backup-simplify]: Simplify x into x
7.605 * [taylor]: Taking taylor expansion of y in y
7.605 * [backup-simplify]: Simplify 0 into 0
7.605 * [backup-simplify]: Simplify 1 into 1
7.605 * [backup-simplify]: Simplify (/ x 1) into x
7.605 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.605 * [taylor]: Taking taylor expansion of x in y
7.605 * [backup-simplify]: Simplify x into x
7.605 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.605 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y
7.605 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y
7.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
7.605 * [taylor]: Taking taylor expansion of 1/2 in y
7.605 * [backup-simplify]: Simplify 1/2 into 1/2
7.605 * [taylor]: Taking taylor expansion of (/ x y) in y
7.605 * [taylor]: Taking taylor expansion of x in y
7.605 * [backup-simplify]: Simplify x into x
7.605 * [taylor]: Taking taylor expansion of y in y
7.605 * [backup-simplify]: Simplify 0 into 0
7.605 * [backup-simplify]: Simplify 1 into 1
7.605 * [backup-simplify]: Simplify (/ x 1) into x
7.605 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.605 * [taylor]: Taking taylor expansion of x in y
7.605 * [backup-simplify]: Simplify x into x
7.605 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.606 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
7.606 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x)
7.606 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x))
7.606 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x
7.606 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.606 * [taylor]: Taking taylor expansion of 1/2 in x
7.606 * [backup-simplify]: Simplify 1/2 into 1/2
7.606 * [taylor]: Taking taylor expansion of x in x
7.606 * [backup-simplify]: Simplify 0 into 0
7.606 * [backup-simplify]: Simplify 1 into 1
7.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
7.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
7.607 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x)
7.608 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x))
7.608 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
7.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.608 * [taylor]: Taking taylor expansion of x in x
7.608 * [backup-simplify]: Simplify 0 into 0
7.608 * [backup-simplify]: Simplify 1 into 1
7.608 * [backup-simplify]: Simplify (/ 1 1) into 1
7.608 * [backup-simplify]: Simplify (- 1) into -1
7.609 * [backup-simplify]: Simplify -1 into -1
7.609 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.609 * [backup-simplify]: Simplify (- 0) into 0
7.609 * [backup-simplify]: Simplify 0 into 0
7.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
7.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
7.612 * [backup-simplify]: Simplify (+ 0 0) into 0
7.612 * [backup-simplify]: Simplify (- 0) into 0
7.612 * [taylor]: Taking taylor expansion of 0 in x
7.613 * [backup-simplify]: Simplify 0 into 0
7.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.614 * [backup-simplify]: Simplify (- 0) into 0
7.614 * [backup-simplify]: Simplify 0 into 0
7.614 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.615 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.615 * [backup-simplify]: Simplify -1/2 into -1/2
7.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
7.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.618 * [backup-simplify]: Simplify (+ 0 0) into 0
7.619 * [backup-simplify]: Simplify (- 0) into 0
7.619 * [taylor]: Taking taylor expansion of 0 in x
7.619 * [backup-simplify]: Simplify 0 into 0
7.619 * [backup-simplify]: Simplify 0 into 0
7.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.620 * [backup-simplify]: Simplify (- 0) into 0
7.620 * [backup-simplify]: Simplify 0 into 0
7.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.621 * [backup-simplify]: Simplify (- 0) into 0
7.622 * [backup-simplify]: Simplify 0 into 0
7.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
7.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.627 * [backup-simplify]: Simplify (+ 0 0) into 0
7.627 * [backup-simplify]: Simplify (- 0) into 0
7.628 * [taylor]: Taking taylor expansion of 0 in x
7.628 * [backup-simplify]: Simplify 0 into 0
7.628 * [backup-simplify]: Simplify 0 into 0
7.628 * [backup-simplify]: Simplify 0 into 0
7.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.629 * [backup-simplify]: Simplify (- 0) into 0
7.629 * [backup-simplify]: Simplify 0 into 0
7.630 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x))))
7.630 * [backup-simplify]: Simplify (- (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y)))
7.630 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0
7.630 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x
7.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.630 * [taylor]: Taking taylor expansion of x in x
7.630 * [backup-simplify]: Simplify 0 into 0
7.630 * [backup-simplify]: Simplify 1 into 1
7.631 * [backup-simplify]: Simplify (/ 1 1) into 1
7.631 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x
7.631 * [taylor]: Taking taylor expansion of 1/2 in x
7.631 * [backup-simplify]: Simplify 1/2 into 1/2
7.631 * [taylor]: Taking taylor expansion of (/ x y) in x
7.631 * [taylor]: Taking taylor expansion of x in x
7.631 * [backup-simplify]: Simplify 0 into 0
7.631 * [backup-simplify]: Simplify 1 into 1
7.631 * [taylor]: Taking taylor expansion of y in x
7.631 * [backup-simplify]: Simplify y into y
7.631 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.631 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
7.631 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.631 * [taylor]: Taking taylor expansion of x in y
7.631 * [backup-simplify]: Simplify x into x
7.631 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.631 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
7.631 * [taylor]: Taking taylor expansion of 1/2 in y
7.631 * [backup-simplify]: Simplify 1/2 into 1/2
7.631 * [taylor]: Taking taylor expansion of (/ x y) in y
7.631 * [taylor]: Taking taylor expansion of x in y
7.631 * [backup-simplify]: Simplify x into x
7.631 * [taylor]: Taking taylor expansion of y in y
7.631 * [backup-simplify]: Simplify 0 into 0
7.631 * [backup-simplify]: Simplify 1 into 1
7.631 * [backup-simplify]: Simplify (/ x 1) into x
7.631 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y
7.631 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.632 * [taylor]: Taking taylor expansion of x in y
7.632 * [backup-simplify]: Simplify x into x
7.632 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y
7.632 * [taylor]: Taking taylor expansion of 1/2 in y
7.632 * [backup-simplify]: Simplify 1/2 into 1/2
7.632 * [taylor]: Taking taylor expansion of (/ x y) in y
7.632 * [taylor]: Taking taylor expansion of x in y
7.632 * [backup-simplify]: Simplify x into x
7.632 * [taylor]: Taking taylor expansion of y in y
7.632 * [backup-simplify]: Simplify 0 into 0
7.632 * [backup-simplify]: Simplify 1 into 1
7.632 * [backup-simplify]: Simplify (/ x 1) into x
7.632 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x)
7.632 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x))
7.633 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x))
7.633 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x
7.633 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
7.633 * [taylor]: Taking taylor expansion of 1/2 in x
7.633 * [backup-simplify]: Simplify 1/2 into 1/2
7.633 * [taylor]: Taking taylor expansion of x in x
7.633 * [backup-simplify]: Simplify 0 into 0
7.633 * [backup-simplify]: Simplify 1 into 1
7.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
7.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0
7.635 * [backup-simplify]: Simplify (- 0) into 0
7.635 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
7.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.635 * [taylor]: Taking taylor expansion of x in x
7.635 * [backup-simplify]: Simplify 0 into 0
7.635 * [backup-simplify]: Simplify 1 into 1
7.635 * [backup-simplify]: Simplify (/ 1 1) into 1
7.635 * [backup-simplify]: Simplify 1 into 1
7.636 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.636 * [backup-simplify]: Simplify (- 0) into 0
7.636 * [backup-simplify]: Simplify 0 into 0
7.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
7.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0
7.639 * [backup-simplify]: Simplify (- 0) into 0
7.639 * [backup-simplify]: Simplify (+ 0 0) into 0
7.639 * [taylor]: Taking taylor expansion of 0 in x
7.639 * [backup-simplify]: Simplify 0 into 0
7.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.640 * [backup-simplify]: Simplify 0 into 0
7.641 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.641 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.641 * [backup-simplify]: Simplify -1/2 into -1/2
7.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
7.645 * [backup-simplify]: Simplify (- 0) into 0
7.646 * [backup-simplify]: Simplify (+ 0 0) into 0
7.646 * [taylor]: Taking taylor expansion of 0 in x
7.646 * [backup-simplify]: Simplify 0 into 0
7.646 * [backup-simplify]: Simplify 0 into 0
7.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.647 * [backup-simplify]: Simplify 0 into 0
7.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.649 * [backup-simplify]: Simplify (- 0) into 0
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
7.661 * [backup-simplify]: Simplify (- 0) into 0
7.662 * [backup-simplify]: Simplify (+ 0 0) into 0
7.662 * [taylor]: Taking taylor expansion of 0 in x
7.662 * [backup-simplify]: Simplify 0 into 0
7.662 * [backup-simplify]: Simplify 0 into 0
7.662 * [backup-simplify]: Simplify 0 into 0
7.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.663 * [backup-simplify]: Simplify 0 into 0
7.664 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x))))
7.664 * * * [progress]: simplifying candidates
7.664 * [simplify]: Simplifying:
  (/ (exp (* (/ y x) -1/2)) (exp x))
  (log (- (* (/ y x) -1/2) x))
  (exp (- (* (/ y x) -1/2) x))
  (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x)))
  (cbrt (- (* (/ y x) -1/2) x))
  (* (* (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x)) (- (* (/ y x) -1/2) x))
  (sqrt (- (* (/ y x) -1/2) x))
  (sqrt (- (* (/ y x) -1/2) x))
  (- (pow (* (/ y x) -1/2) 3) (pow x 3))
  (+ (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (+ (* x x) (* (* (/ y x) -1/2) x)))
  (- x)
  (- (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* x x))
  (+ (* (/ y x) -1/2) x)
  (- x)
  (- (+ x (* 1/2 (/ y x))))
  (- (+ x (* 1/2 (/ y x))))
  (- (+ x (* 1/2 (/ y x))))
7.665 * * [simplify]: Extracting # 0 : cost  0
7.665 * * [simplify]: Extracting # 1 : cost  0
7.665 * * [simplify]: Extracting # 2 : cost  0
7.665 * * [simplify]: Extracting # 3 : cost  0
7.665 * * [simplify]: Extracting # 4 : cost  0
7.665 * * [simplify]: Extracting # 5 : cost  0
7.666 * * [simplify]: Extracting # 6 : cost  0
7.666 * * [simplify]: Extracting # 7 : cost  0
7.666 * * [simplify]: iteration  0 :  32  enodes  (cost  173 )
7.678 * * [simplify]: Extracting # 0 : cost  0
7.678 * * [simplify]: Extracting # 1 : cost  0
7.678 * * [simplify]: Extracting # 2 : cost  0
7.679 * * [simplify]: Extracting # 3 : cost  0
7.679 * * [simplify]: iteration  1 :  82  enodes  (cost  166 )
7.705 * * [simplify]: Extracting # 0 : cost  0
7.706 * * [simplify]: Extracting # 1 : cost  0
7.706 * * [simplify]: Extracting # 2 : cost  0
7.706 * * [simplify]: Extracting # 3 : cost  0
7.707 * * [simplify]: Extracting # 4 : cost  0
7.707 * * [simplify]: iteration  2 :  235  enodes  (cost  149 )
7.886 * * [simplify]: Extracting # 0 : cost  0
7.889 * * [simplify]: Extracting # 1 : cost  0
7.892 * * [simplify]: Extracting # 2 : cost  0
7.895 * * [simplify]: Extracting # 3 : cost  0
7.897 * * [simplify]: Extracting # 4 : cost  0
7.900 * * [simplify]: Extracting # 5 : cost  0
7.902 * * [simplify]: iteration  3 :  1297  enodes  (cost  147 )
8.643 * * [simplify]: Extracting # 0 : cost  0
8.659 * * [simplify]: Extracting # 1 : cost  0
8.665 * * [simplify]: Extracting # 2 : cost  0
8.671 * * [simplify]: Extracting # 3 : cost  0
8.682 * * [simplify]: Extracting # 4 : cost  0
8.693 * * [simplify]: iteration done:  5000  enodes  (cost  147 )
8.694 * [simplify]: Simplified to:
  (exp (- (* (/ y x) -1/2) x))
  (log (- (* (/ y x) -1/2) x))
  (exp (- (* (/ y x) -1/2) x))
  (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x)))
  (cbrt (- (* (/ y x) -1/2) x))
  (pow (- (* (/ y x) -1/2) x) 3)
  (sqrt (- (* (/ y x) -1/2) x))
  (sqrt (- (* (/ y x) -1/2) x))
  (- (pow (* (/ y x) -1/2) 3) (pow x 3))
  (+ (* (* (/ y x) -1/2) (+ x (* (/ y x) -1/2))) (* x x))
  (- x)
  (- (* (* (/ y x) (/ y x)) 1/4) (* x x))
  (+ (* (/ y x) -1/2) x)
  (- x)
  (- (* (/ y x) -1/2) x)
  (- (* (/ y x) -1/2) x)
  (- (* (/ y x) -1/2) x)
8.694 * * * [progress]: adding candidates to table
8.738 * [progress]: [Phase 3 of 3] Extracting.
8.739 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
8.739 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
8.739 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
8.778 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
8.790 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
8.821 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
8.839 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
8.863 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))>)
8.895 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
8.915 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
8.957 * * * [regime]: Found split indices: #<option (#s(si 3 33) #s(si 1 197) #s(si 2 255))>
8.958 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
9.018 * [regimes]: Found splitpoints: (#s(sp 3 x -1.3649655464070602e+154) #s(sp 1 x 3.588070708117172e+111) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (- (* (/ y x) -1/2) x))>)
9.019 * [simplify]: Simplifying:
  (if (<= x -1.3649655464070602e+154) (- (* (/ y x) -1/2) x) (if (<= x 3.588070708117172e+111) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
9.019 * * [simplify]: Extracting # 0 : cost  0
9.019 * * [simplify]: Extracting # 1 : cost  0
9.019 * * [simplify]: Extracting # 2 : cost  0
9.019 * * [simplify]: Extracting # 3 : cost  0
9.019 * * [simplify]: Extracting # 4 : cost  0
9.019 * * [simplify]: Extracting # 5 : cost  0
9.019 * * [simplify]: Extracting # 6 : cost  0
9.019 * * [simplify]: Extracting # 7 : cost  0
9.019 * * [simplify]: iteration  0 :  18  enodes  (cost  28 )
9.021 * * [simplify]: Extracting # 0 : cost  0
9.021 * * [simplify]: iteration  1 :  22  enodes  (cost  28 )
9.022 * * [simplify]: Extracting # 0 : cost  0
9.023 * * [simplify]: iteration done:  22  enodes  (cost  28 )
9.023 * [simplify]: Simplified to:
  (if (<= x -1.3649655464070602e+154) (- (* (/ y x) -1/2) x) (if (<= x 3.588070708117172e+111) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
10.332 * [regime-testing]: Baseline error score: 21.407550943867985
10.334 * [regime-testing]: Oracle error score: 0.0023752969121140144
10.339 * [regime-testing]: End program error score: 0.13332836529873096
10.390 * [regime-testing]: Target error score: 0.49298529825820775