24.509 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.022 * * * [progress]: [2/2] Setting up program.
0.024 * [progress]: [Phase 2 of 3] Improving.
0.024 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.042 * * [progress]: iteration 1 / 4
0.042 * * * [progress]: picking best candidate
0.044 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.044 * * * [progress]: localizing error
0.054 * * * [progress]: generating rewritten candidates
0.054 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.087 * * * [progress]: generating series expansions
0.087 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.087 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
0.087 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.087 * [taylor]: Taking taylor expansion of x in y
0.087 * [backup-simplify]: Simplify x into x
0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.087 * [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 (* x x) into (pow x 2)
0.088 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.088 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.088 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.089 * [taylor]: Taking taylor expansion of x in x
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.089 * [taylor]: Taking taylor expansion of y in x
0.089 * [backup-simplify]: Simplify y into y
0.089 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.089 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.089 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.089 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.089 * [taylor]: Taking taylor expansion of x in x
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.089 * [taylor]: Taking taylor expansion of y in x
0.089 * [backup-simplify]: Simplify y into y
0.089 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.090 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.090 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.090 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.090 * [taylor]: Taking taylor expansion of y in y
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
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 1 into 1
0.091 * [backup-simplify]: Simplify (* 1 1) into 1
0.091 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.091 * [backup-simplify]: Simplify (+ 1 0) into 1
0.092 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.092 * [taylor]: Taking taylor expansion of (/ 1/2 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 y in y
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 1 into 1
0.092 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.094 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.095 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.095 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.095 * [taylor]: Taking taylor expansion of x in y
0.095 * [backup-simplify]: Simplify x into x
0.095 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.095 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.096 * [taylor]: Taking taylor expansion of y in y
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (* 1 1) into 1
0.096 * [backup-simplify]: Simplify (/ 1 1) into 1
0.096 * [backup-simplify]: Simplify (+ 0 1) into 1
0.097 * [backup-simplify]: Simplify (sqrt 1) into 1
0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.098 * [taylor]: Taking taylor expansion of x in x
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (* 1 1) into 1
0.099 * [backup-simplify]: Simplify (/ 1 1) into 1
0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.099 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.099 * [taylor]: Taking taylor expansion of y in x
0.099 * [backup-simplify]: Simplify y into y
0.099 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.099 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.099 * [backup-simplify]: Simplify (+ 1 0) into 1
0.100 * [backup-simplify]: Simplify (sqrt 1) into 1
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.101 * [taylor]: Taking taylor expansion of x in x
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (* 1 1) into 1
0.102 * [backup-simplify]: Simplify (/ 1 1) into 1
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.102 * [taylor]: Taking taylor expansion of y in x
0.102 * [backup-simplify]: Simplify y into y
0.102 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.102 * [backup-simplify]: Simplify (+ 1 0) into 1
0.102 * [backup-simplify]: Simplify (sqrt 1) into 1
0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.104 * [taylor]: Taking taylor expansion of 1 in y
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [taylor]: Taking taylor expansion of 0 in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.106 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.106 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.106 * [taylor]: Taking taylor expansion of 1/2 in y
0.106 * [backup-simplify]: Simplify 1/2 into 1/2
0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.106 * [taylor]: Taking taylor expansion of y in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.110 * [taylor]: Taking taylor expansion of 0 in y
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.111 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.111 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.111 * [taylor]: Taking taylor expansion of x in y
0.111 * [backup-simplify]: Simplify x into x
0.111 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.112 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.112 * [taylor]: Taking taylor expansion of y in y
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (* 1 1) into 1
0.112 * [backup-simplify]: Simplify (/ 1 1) into 1
0.112 * [backup-simplify]: Simplify (+ 0 1) into 1
0.113 * [backup-simplify]: Simplify (sqrt 1) into 1
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.114 * [taylor]: Taking taylor expansion of x in x
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (* 1 1) into 1
0.115 * [backup-simplify]: Simplify (/ 1 1) into 1
0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.115 * [taylor]: Taking taylor expansion of y in x
0.115 * [backup-simplify]: Simplify y into y
0.115 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.115 * [backup-simplify]: Simplify (+ 1 0) into 1
0.116 * [backup-simplify]: Simplify (sqrt 1) into 1
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.117 * [taylor]: Taking taylor expansion of x in x
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (* 1 1) into 1
0.118 * [backup-simplify]: Simplify (/ 1 1) into 1
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.118 * [taylor]: Taking taylor expansion of y in x
0.118 * [backup-simplify]: Simplify y into y
0.118 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.118 * [backup-simplify]: Simplify (+ 1 0) into 1
0.118 * [backup-simplify]: Simplify (sqrt 1) into 1
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.120 * [taylor]: Taking taylor expansion of 1 in y
0.120 * [backup-simplify]: Simplify 1 into 1
0.120 * [taylor]: Taking taylor expansion of 0 in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.122 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.122 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.122 * [taylor]: Taking taylor expansion of 1/2 in y
0.122 * [backup-simplify]: Simplify 1/2 into 1/2
0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.122 * [taylor]: Taking taylor expansion of y in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify (* 1 1) into 1
0.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.126 * [taylor]: Taking taylor expansion of 0 in y
0.126 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.127 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.127 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.128 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.128 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.128 * [taylor]: Taking taylor expansion of x in y
0.128 * [backup-simplify]: Simplify x into x
0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.128 * [taylor]: Taking taylor expansion of y in y
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.128 * [taylor]: Taking taylor expansion of x in x
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.128 * [taylor]: Taking taylor expansion of y in x
0.128 * [backup-simplify]: Simplify y into y
0.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.128 * [taylor]: Taking taylor expansion of x in x
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.128 * [taylor]: Taking taylor expansion of y in x
0.128 * [backup-simplify]: Simplify y into y
0.128 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.128 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.128 * [taylor]: Taking taylor expansion of y in y
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [taylor]: Taking taylor expansion of 0 in y
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.129 * [backup-simplify]: Simplify (+ 1 0) into 1
0.129 * [taylor]: Taking taylor expansion of 1 in y
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (* 1 1) into 1
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [taylor]: Taking taylor expansion of 0 in y
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.133 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [taylor]: Taking taylor expansion of 0 in y
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.133 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.133 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.133 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.133 * [taylor]: Taking taylor expansion of x in y
0.133 * [backup-simplify]: Simplify x into x
0.134 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.134 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.134 * [taylor]: Taking taylor expansion of y in y
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify (* 1 1) into 1
0.134 * [backup-simplify]: Simplify (/ 1 1) into 1
0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.134 * [taylor]: Taking taylor expansion of x in x
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [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 (pow y 2)) in x
0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.135 * [taylor]: Taking taylor expansion of y in x
0.135 * [backup-simplify]: Simplify y into y
0.135 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 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
0.136 * [backup-simplify]: Simplify (/ 1 1) into 1
0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.136 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.136 * [taylor]: Taking taylor expansion of y in x
0.136 * [backup-simplify]: Simplify y into y
0.136 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.136 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.136 * [backup-simplify]: Simplify (+ 1 0) into 1
0.136 * [taylor]: Taking taylor expansion of 1 in y
0.136 * [backup-simplify]: Simplify 1 into 1
0.137 * [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 * [taylor]: Taking taylor expansion of 0 in y
0.137 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.139 * [taylor]: Taking taylor expansion of y in y
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (* 1 1) into 1
0.139 * [backup-simplify]: Simplify (/ 1 1) into 1
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [taylor]: Taking taylor expansion of 0 in y
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [taylor]: Taking taylor expansion of 0 in y
0.144 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.146 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.146 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.146 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.146 * [taylor]: Taking taylor expansion of x in y
0.147 * [backup-simplify]: Simplify x into x
0.147 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.147 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.147 * [taylor]: Taking taylor expansion of y in y
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (* 1 1) into 1
0.148 * [backup-simplify]: Simplify (/ 1 1) into 1
0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.148 * [taylor]: Taking taylor expansion of x in x
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (* 1 1) into 1
0.149 * [backup-simplify]: Simplify (/ 1 1) into 1
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.149 * [taylor]: Taking taylor expansion of y in x
0.149 * [backup-simplify]: Simplify y into y
0.149 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.149 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.149 * [taylor]: Taking taylor expansion of x in x
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify (* 1 1) into 1
0.150 * [backup-simplify]: Simplify (/ 1 1) into 1
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.150 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.150 * [taylor]: Taking taylor expansion of y in x
0.150 * [backup-simplify]: Simplify y into y
0.150 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.150 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.150 * [backup-simplify]: Simplify (+ 1 0) into 1
0.150 * [taylor]: Taking taylor expansion of 1 in y
0.150 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [taylor]: Taking taylor expansion of 0 in y
0.151 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.153 * [taylor]: Taking taylor expansion of y in y
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (* 1 1) into 1
0.153 * [backup-simplify]: Simplify (/ 1 1) into 1
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.155 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [taylor]: Taking taylor expansion of 0 in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [taylor]: Taking taylor expansion of 0 in y
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.159 * * * [progress]: simplifying candidates
0.160 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.930 * * * [progress]: adding candidates to table
1.036 * * [progress]: iteration 2 / 4
1.036 * * * [progress]: picking best candidate
1.043 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
1.043 * * * [progress]: localizing error
1.059 * * * [progress]: generating rewritten candidates
1.059 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1.072 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
1.085 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.165 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
1.187 * * * [progress]: generating series expansions
1.188 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
1.188 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
1.188 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.188 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.188 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.188 * [taylor]: Taking taylor expansion of x in y
1.188 * [backup-simplify]: Simplify x into x
1.188 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.188 * [taylor]: Taking taylor expansion of y in y
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify 1 into 1
1.188 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.189 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.189 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.189 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.189 * [backup-simplify]: Simplify (+ 0 0) into 0
1.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.190 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.190 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.190 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.190 * [taylor]: Taking taylor expansion of x in x
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify 1 into 1
1.190 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.190 * [taylor]: Taking taylor expansion of y in x
1.190 * [backup-simplify]: Simplify y into y
1.190 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.190 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.190 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.190 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.190 * [backup-simplify]: Simplify (+ 0 0) into 0
1.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.191 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.191 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.191 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.191 * [taylor]: Taking taylor expansion of x in x
1.191 * [backup-simplify]: Simplify 0 into 0
1.191 * [backup-simplify]: Simplify 1 into 1
1.191 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.191 * [taylor]: Taking taylor expansion of y in x
1.191 * [backup-simplify]: Simplify y into y
1.191 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.191 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.191 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.191 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.192 * [backup-simplify]: Simplify (+ 0 0) into 0
1.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.192 * [taylor]: Taking taylor expansion of y in y
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 1 into 1
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [taylor]: Taking taylor expansion of 0 in y
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 1 into 1
1.192 * [backup-simplify]: Simplify (* 1 1) into 1
1.192 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.193 * [backup-simplify]: Simplify (+ 1 0) into 1
1.193 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.193 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.193 * [taylor]: Taking taylor expansion of 1/2 in y
1.193 * [backup-simplify]: Simplify 1/2 into 1/2
1.193 * [taylor]: Taking taylor expansion of y in y
1.193 * [backup-simplify]: Simplify 0 into 0
1.193 * [backup-simplify]: Simplify 1 into 1
1.194 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.194 * [backup-simplify]: Simplify 0 into 0
1.194 * [backup-simplify]: Simplify 0 into 0
1.194 * [backup-simplify]: Simplify 0 into 0
1.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.195 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.195 * [backup-simplify]: Simplify (+ 0 0) into 0
1.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.195 * [taylor]: Taking taylor expansion of 0 in y
1.195 * [backup-simplify]: Simplify 0 into 0
1.195 * [backup-simplify]: Simplify 0 into 0
1.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.196 * [backup-simplify]: Simplify 0 into 0
1.196 * [backup-simplify]: Simplify 0 into 0
1.196 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.196 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.197 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.197 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.197 * [taylor]: Taking taylor expansion of x in y
1.197 * [backup-simplify]: Simplify x into x
1.197 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.197 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.197 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.197 * [taylor]: Taking taylor expansion of y in y
1.197 * [backup-simplify]: Simplify 0 into 0
1.197 * [backup-simplify]: Simplify 1 into 1
1.197 * [backup-simplify]: Simplify (* 1 1) into 1
1.198 * [backup-simplify]: Simplify (/ 1 1) into 1
1.198 * [backup-simplify]: Simplify (+ 0 1) into 1
1.198 * [backup-simplify]: Simplify (sqrt 1) into 1
1.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.200 * [backup-simplify]: Simplify (+ 0 0) into 0
1.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.201 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.201 * [taylor]: Taking taylor expansion of x in x
1.201 * [backup-simplify]: Simplify 0 into 0
1.201 * [backup-simplify]: Simplify 1 into 1
1.201 * [backup-simplify]: Simplify (* 1 1) into 1
1.201 * [backup-simplify]: Simplify (/ 1 1) into 1
1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.201 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.201 * [taylor]: Taking taylor expansion of y in x
1.201 * [backup-simplify]: Simplify y into y
1.202 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.202 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.202 * [backup-simplify]: Simplify (+ 1 0) into 1
1.202 * [backup-simplify]: Simplify (sqrt 1) into 1
1.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.204 * [backup-simplify]: Simplify (+ 0 0) into 0
1.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.205 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.205 * [taylor]: Taking taylor expansion of x in x
1.205 * [backup-simplify]: Simplify 0 into 0
1.205 * [backup-simplify]: Simplify 1 into 1
1.205 * [backup-simplify]: Simplify (* 1 1) into 1
1.205 * [backup-simplify]: Simplify (/ 1 1) into 1
1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.205 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.205 * [taylor]: Taking taylor expansion of y in x
1.205 * [backup-simplify]: Simplify y into y
1.205 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.206 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.206 * [backup-simplify]: Simplify (+ 1 0) into 1
1.206 * [backup-simplify]: Simplify (sqrt 1) into 1
1.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.212 * [backup-simplify]: Simplify (+ 0 0) into 0
1.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.213 * [taylor]: Taking taylor expansion of 1 in y
1.213 * [backup-simplify]: Simplify 1 into 1
1.213 * [taylor]: Taking taylor expansion of 0 in y
1.213 * [backup-simplify]: Simplify 0 into 0
1.213 * [backup-simplify]: Simplify 1 into 1
1.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.214 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.216 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.216 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.216 * [taylor]: Taking taylor expansion of 1/2 in y
1.216 * [backup-simplify]: Simplify 1/2 into 1/2
1.216 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.216 * [taylor]: Taking taylor expansion of y in y
1.216 * [backup-simplify]: Simplify 0 into 0
1.216 * [backup-simplify]: Simplify 1 into 1
1.216 * [backup-simplify]: Simplify (* 1 1) into 1
1.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.218 * [backup-simplify]: Simplify 0 into 0
1.218 * [backup-simplify]: Simplify 0 into 0
1.218 * [backup-simplify]: Simplify 0 into 0
1.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.220 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.220 * [backup-simplify]: Simplify (+ 0 0) into 0
1.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.221 * [taylor]: Taking taylor expansion of 0 in y
1.221 * [backup-simplify]: Simplify 0 into 0
1.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.222 * [backup-simplify]: Simplify 0 into 0
1.222 * [backup-simplify]: Simplify 0 into 0
1.222 * [backup-simplify]: Simplify 0 into 0
1.223 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.223 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.223 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.223 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.223 * [taylor]: Taking taylor expansion of x in y
1.223 * [backup-simplify]: Simplify x into x
1.223 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.223 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.223 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.223 * [taylor]: Taking taylor expansion of y in y
1.223 * [backup-simplify]: Simplify 0 into 0
1.223 * [backup-simplify]: Simplify 1 into 1
1.224 * [backup-simplify]: Simplify (* 1 1) into 1
1.224 * [backup-simplify]: Simplify (/ 1 1) into 1
1.224 * [backup-simplify]: Simplify (+ 0 1) into 1
1.225 * [backup-simplify]: Simplify (sqrt 1) into 1
1.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.226 * [backup-simplify]: Simplify (+ 0 0) into 0
1.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.227 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.227 * [taylor]: Taking taylor expansion of x in x
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify 1 into 1
1.227 * [backup-simplify]: Simplify (* 1 1) into 1
1.228 * [backup-simplify]: Simplify (/ 1 1) into 1
1.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.228 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.228 * [taylor]: Taking taylor expansion of y in x
1.228 * [backup-simplify]: Simplify y into y
1.228 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.228 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.228 * [backup-simplify]: Simplify (+ 1 0) into 1
1.229 * [backup-simplify]: Simplify (sqrt 1) into 1
1.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.230 * [backup-simplify]: Simplify (+ 0 0) into 0
1.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.231 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.231 * [taylor]: Taking taylor expansion of x in x
1.231 * [backup-simplify]: Simplify 0 into 0
1.231 * [backup-simplify]: Simplify 1 into 1
1.231 * [backup-simplify]: Simplify (* 1 1) into 1
1.231 * [backup-simplify]: Simplify (/ 1 1) into 1
1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.232 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.232 * [taylor]: Taking taylor expansion of y in x
1.232 * [backup-simplify]: Simplify y into y
1.232 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.232 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.232 * [backup-simplify]: Simplify (+ 1 0) into 1
1.232 * [backup-simplify]: Simplify (sqrt 1) into 1
1.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.234 * [backup-simplify]: Simplify (+ 0 0) into 0
1.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.235 * [taylor]: Taking taylor expansion of 1 in y
1.235 * [backup-simplify]: Simplify 1 into 1
1.235 * [taylor]: Taking taylor expansion of 0 in y
1.235 * [backup-simplify]: Simplify 0 into 0
1.235 * [backup-simplify]: Simplify 1 into 1
1.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.236 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.238 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.238 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.238 * [taylor]: Taking taylor expansion of 1/2 in y
1.238 * [backup-simplify]: Simplify 1/2 into 1/2
1.238 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.238 * [taylor]: Taking taylor expansion of y in y
1.238 * [backup-simplify]: Simplify 0 into 0
1.238 * [backup-simplify]: Simplify 1 into 1
1.238 * [backup-simplify]: Simplify (* 1 1) into 1
1.238 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 0 into 0
1.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.242 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.242 * [backup-simplify]: Simplify (+ 0 0) into 0
1.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.243 * [taylor]: Taking taylor expansion of 0 in y
1.243 * [backup-simplify]: Simplify 0 into 0
1.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.244 * [backup-simplify]: Simplify 0 into 0
1.245 * [backup-simplify]: Simplify 0 into 0
1.245 * [backup-simplify]: Simplify 0 into 0
1.245 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.245 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
1.245 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
1.245 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.245 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.245 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.245 * [taylor]: Taking taylor expansion of x in y
1.245 * [backup-simplify]: Simplify x into x
1.245 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.245 * [taylor]: Taking taylor expansion of y in y
1.245 * [backup-simplify]: Simplify 0 into 0
1.245 * [backup-simplify]: Simplify 1 into 1
1.245 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.245 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.246 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.246 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.246 * [backup-simplify]: Simplify (+ 0 0) into 0
1.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.246 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.246 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.246 * [taylor]: Taking taylor expansion of x in x
1.246 * [backup-simplify]: Simplify 0 into 0
1.246 * [backup-simplify]: Simplify 1 into 1
1.246 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.246 * [taylor]: Taking taylor expansion of y in x
1.246 * [backup-simplify]: Simplify y into y
1.246 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.246 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.247 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.247 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.247 * [backup-simplify]: Simplify (+ 0 0) into 0
1.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.247 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.247 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.247 * [taylor]: Taking taylor expansion of x in x
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify 1 into 1
1.247 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.247 * [taylor]: Taking taylor expansion of y in x
1.247 * [backup-simplify]: Simplify y into y
1.247 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.247 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.247 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.247 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.248 * [backup-simplify]: Simplify (+ 0 0) into 0
1.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.248 * [taylor]: Taking taylor expansion of y in y
1.248 * [backup-simplify]: Simplify 0 into 0
1.248 * [backup-simplify]: Simplify 1 into 1
1.248 * [backup-simplify]: Simplify 0 into 0
1.248 * [taylor]: Taking taylor expansion of 0 in y
1.248 * [backup-simplify]: Simplify 0 into 0
1.248 * [backup-simplify]: Simplify 0 into 0
1.248 * [backup-simplify]: Simplify 1 into 1
1.248 * [backup-simplify]: Simplify (* 1 1) into 1
1.248 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.249 * [backup-simplify]: Simplify (+ 1 0) into 1
1.249 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.249 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.249 * [taylor]: Taking taylor expansion of 1/2 in y
1.249 * [backup-simplify]: Simplify 1/2 into 1/2
1.249 * [taylor]: Taking taylor expansion of y in y
1.249 * [backup-simplify]: Simplify 0 into 0
1.249 * [backup-simplify]: Simplify 1 into 1
1.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.250 * [backup-simplify]: Simplify 0 into 0
1.250 * [backup-simplify]: Simplify 0 into 0
1.250 * [backup-simplify]: Simplify 0 into 0
1.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.251 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.251 * [backup-simplify]: Simplify (+ 0 0) into 0
1.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.251 * [taylor]: Taking taylor expansion of 0 in y
1.251 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.252 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.252 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.252 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.252 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.253 * [taylor]: Taking taylor expansion of x in y
1.253 * [backup-simplify]: Simplify x into x
1.253 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.253 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.253 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.253 * [taylor]: Taking taylor expansion of y in y
1.253 * [backup-simplify]: Simplify 0 into 0
1.253 * [backup-simplify]: Simplify 1 into 1
1.253 * [backup-simplify]: Simplify (* 1 1) into 1
1.253 * [backup-simplify]: Simplify (/ 1 1) into 1
1.254 * [backup-simplify]: Simplify (+ 0 1) into 1
1.254 * [backup-simplify]: Simplify (sqrt 1) into 1
1.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.255 * [backup-simplify]: Simplify (+ 0 0) into 0
1.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.255 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.255 * [taylor]: Taking taylor expansion of x in x
1.255 * [backup-simplify]: Simplify 0 into 0
1.255 * [backup-simplify]: Simplify 1 into 1
1.256 * [backup-simplify]: Simplify (* 1 1) into 1
1.256 * [backup-simplify]: Simplify (/ 1 1) into 1
1.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.256 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.256 * [taylor]: Taking taylor expansion of y in x
1.256 * [backup-simplify]: Simplify y into y
1.256 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.256 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.256 * [backup-simplify]: Simplify (+ 1 0) into 1
1.257 * [backup-simplify]: Simplify (sqrt 1) into 1
1.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.258 * [backup-simplify]: Simplify (+ 0 0) into 0
1.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.258 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.258 * [taylor]: Taking taylor expansion of x in x
1.258 * [backup-simplify]: Simplify 0 into 0
1.258 * [backup-simplify]: Simplify 1 into 1
1.259 * [backup-simplify]: Simplify (* 1 1) into 1
1.259 * [backup-simplify]: Simplify (/ 1 1) into 1
1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.259 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.259 * [taylor]: Taking taylor expansion of y in x
1.259 * [backup-simplify]: Simplify y into y
1.259 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.259 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.259 * [backup-simplify]: Simplify (+ 1 0) into 1
1.260 * [backup-simplify]: Simplify (sqrt 1) into 1
1.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.261 * [backup-simplify]: Simplify (+ 0 0) into 0
1.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.261 * [taylor]: Taking taylor expansion of 1 in y
1.261 * [backup-simplify]: Simplify 1 into 1
1.261 * [taylor]: Taking taylor expansion of 0 in y
1.261 * [backup-simplify]: Simplify 0 into 0
1.261 * [backup-simplify]: Simplify 1 into 1
1.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.262 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.263 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.263 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.263 * [taylor]: Taking taylor expansion of 1/2 in y
1.263 * [backup-simplify]: Simplify 1/2 into 1/2
1.263 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.263 * [taylor]: Taking taylor expansion of y in y
1.263 * [backup-simplify]: Simplify 0 into 0
1.263 * [backup-simplify]: Simplify 1 into 1
1.264 * [backup-simplify]: Simplify (* 1 1) into 1
1.264 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.265 * [backup-simplify]: Simplify 0 into 0
1.265 * [backup-simplify]: Simplify 0 into 0
1.265 * [backup-simplify]: Simplify 0 into 0
1.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.266 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.267 * [backup-simplify]: Simplify (+ 0 0) into 0
1.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.267 * [taylor]: Taking taylor expansion of 0 in y
1.267 * [backup-simplify]: Simplify 0 into 0
1.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.268 * [backup-simplify]: Simplify 0 into 0
1.268 * [backup-simplify]: Simplify 0 into 0
1.268 * [backup-simplify]: Simplify 0 into 0
1.268 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.268 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.269 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.269 * [taylor]: Taking taylor expansion of x in y
1.269 * [backup-simplify]: Simplify x into x
1.269 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.269 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.269 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.269 * [taylor]: Taking taylor expansion of y in y
1.269 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify 1 into 1
1.269 * [backup-simplify]: Simplify (* 1 1) into 1
1.269 * [backup-simplify]: Simplify (/ 1 1) into 1
1.270 * [backup-simplify]: Simplify (+ 0 1) into 1
1.270 * [backup-simplify]: Simplify (sqrt 1) into 1
1.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.271 * [backup-simplify]: Simplify (+ 0 0) into 0
1.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.271 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.271 * [taylor]: Taking taylor expansion of x in x
1.271 * [backup-simplify]: Simplify 0 into 0
1.271 * [backup-simplify]: Simplify 1 into 1
1.272 * [backup-simplify]: Simplify (* 1 1) into 1
1.272 * [backup-simplify]: Simplify (/ 1 1) into 1
1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.272 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.272 * [taylor]: Taking taylor expansion of y in x
1.272 * [backup-simplify]: Simplify y into y
1.272 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.272 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.272 * [backup-simplify]: Simplify (+ 1 0) into 1
1.273 * [backup-simplify]: Simplify (sqrt 1) into 1
1.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.274 * [backup-simplify]: Simplify (+ 0 0) into 0
1.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.274 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.274 * [taylor]: Taking taylor expansion of x in x
1.274 * [backup-simplify]: Simplify 0 into 0
1.274 * [backup-simplify]: Simplify 1 into 1
1.275 * [backup-simplify]: Simplify (* 1 1) into 1
1.275 * [backup-simplify]: Simplify (/ 1 1) into 1
1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.275 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.275 * [taylor]: Taking taylor expansion of y in x
1.275 * [backup-simplify]: Simplify y into y
1.275 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.275 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.276 * [backup-simplify]: Simplify (+ 1 0) into 1
1.276 * [backup-simplify]: Simplify (sqrt 1) into 1
1.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.277 * [backup-simplify]: Simplify (+ 0 0) into 0
1.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.277 * [taylor]: Taking taylor expansion of 1 in y
1.277 * [backup-simplify]: Simplify 1 into 1
1.277 * [taylor]: Taking taylor expansion of 0 in y
1.277 * [backup-simplify]: Simplify 0 into 0
1.277 * [backup-simplify]: Simplify 1 into 1
1.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.279 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.280 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.280 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.280 * [taylor]: Taking taylor expansion of 1/2 in y
1.280 * [backup-simplify]: Simplify 1/2 into 1/2
1.280 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.280 * [taylor]: Taking taylor expansion of y in y
1.280 * [backup-simplify]: Simplify 0 into 0
1.280 * [backup-simplify]: Simplify 1 into 1
1.280 * [backup-simplify]: Simplify (* 1 1) into 1
1.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.282 * [backup-simplify]: Simplify 0 into 0
1.282 * [backup-simplify]: Simplify 0 into 0
1.282 * [backup-simplify]: Simplify 0 into 0
1.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.284 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.284 * [backup-simplify]: Simplify (+ 0 0) into 0
1.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.285 * [taylor]: Taking taylor expansion of 0 in y
1.285 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.287 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.287 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2)))
1.287 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
1.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
1.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.287 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.287 * [taylor]: Taking taylor expansion of x in y
1.287 * [backup-simplify]: Simplify x into x
1.287 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.287 * [taylor]: Taking taylor expansion of y in y
1.287 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify 1 into 1
1.288 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.288 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.288 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.288 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.288 * [backup-simplify]: Simplify (+ 0 0) into 0
1.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.288 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.288 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.288 * [taylor]: Taking taylor expansion of x in x
1.288 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify 1 into 1
1.288 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.288 * [taylor]: Taking taylor expansion of y in x
1.288 * [backup-simplify]: Simplify y into y
1.288 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.289 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.289 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.289 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.289 * [backup-simplify]: Simplify (+ 0 0) into 0
1.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.289 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.289 * [taylor]: Taking taylor expansion of x in x
1.289 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify 1 into 1
1.289 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.289 * [taylor]: Taking taylor expansion of y in x
1.289 * [backup-simplify]: Simplify y into y
1.289 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.290 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.290 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.290 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.290 * [backup-simplify]: Simplify (+ 0 0) into 0
1.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.290 * [taylor]: Taking taylor expansion of y in y
1.290 * [backup-simplify]: Simplify 0 into 0
1.290 * [backup-simplify]: Simplify 1 into 1
1.290 * [backup-simplify]: Simplify 0 into 0
1.290 * [taylor]: Taking taylor expansion of 0 in y
1.290 * [backup-simplify]: Simplify 0 into 0
1.290 * [backup-simplify]: Simplify 0 into 0
1.290 * [backup-simplify]: Simplify 1 into 1
1.290 * [backup-simplify]: Simplify (* 1 1) into 1
1.291 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.291 * [backup-simplify]: Simplify (+ 1 0) into 1
1.292 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.292 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.292 * [taylor]: Taking taylor expansion of 1/2 in y
1.292 * [backup-simplify]: Simplify 1/2 into 1/2
1.292 * [taylor]: Taking taylor expansion of y in y
1.292 * [backup-simplify]: Simplify 0 into 0
1.292 * [backup-simplify]: Simplify 1 into 1
1.292 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.292 * [backup-simplify]: Simplify 0 into 0
1.292 * [backup-simplify]: Simplify 0 into 0
1.293 * [backup-simplify]: Simplify 0 into 0
1.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.293 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.294 * [backup-simplify]: Simplify (+ 0 0) into 0
1.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.294 * [taylor]: Taking taylor expansion of 0 in y
1.294 * [backup-simplify]: Simplify 0 into 0
1.294 * [backup-simplify]: Simplify 0 into 0
1.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.294 * [backup-simplify]: Simplify 0 into 0
1.294 * [backup-simplify]: Simplify 0 into 0
1.295 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.295 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.295 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.295 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.295 * [taylor]: Taking taylor expansion of x in y
1.295 * [backup-simplify]: Simplify x into x
1.295 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.295 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.295 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.295 * [taylor]: Taking taylor expansion of y in y
1.295 * [backup-simplify]: Simplify 0 into 0
1.295 * [backup-simplify]: Simplify 1 into 1
1.296 * [backup-simplify]: Simplify (* 1 1) into 1
1.296 * [backup-simplify]: Simplify (/ 1 1) into 1
1.296 * [backup-simplify]: Simplify (+ 0 1) into 1
1.296 * [backup-simplify]: Simplify (sqrt 1) into 1
1.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.297 * [backup-simplify]: Simplify (+ 0 0) into 0
1.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.298 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.298 * [taylor]: Taking taylor expansion of x in x
1.298 * [backup-simplify]: Simplify 0 into 0
1.298 * [backup-simplify]: Simplify 1 into 1
1.298 * [backup-simplify]: Simplify (* 1 1) into 1
1.298 * [backup-simplify]: Simplify (/ 1 1) into 1
1.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.298 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.298 * [taylor]: Taking taylor expansion of y in x
1.299 * [backup-simplify]: Simplify y into y
1.299 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.299 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.299 * [backup-simplify]: Simplify (+ 1 0) into 1
1.299 * [backup-simplify]: Simplify (sqrt 1) into 1
1.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.300 * [backup-simplify]: Simplify (+ 0 0) into 0
1.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.301 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.301 * [taylor]: Taking taylor expansion of x in x
1.301 * [backup-simplify]: Simplify 0 into 0
1.301 * [backup-simplify]: Simplify 1 into 1
1.301 * [backup-simplify]: Simplify (* 1 1) into 1
1.301 * [backup-simplify]: Simplify (/ 1 1) into 1
1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.301 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.301 * [taylor]: Taking taylor expansion of y in x
1.301 * [backup-simplify]: Simplify y into y
1.301 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.302 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.302 * [backup-simplify]: Simplify (+ 1 0) into 1
1.302 * [backup-simplify]: Simplify (sqrt 1) into 1
1.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.303 * [backup-simplify]: Simplify (+ 0 0) into 0
1.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.304 * [taylor]: Taking taylor expansion of 1 in y
1.304 * [backup-simplify]: Simplify 1 into 1
1.304 * [taylor]: Taking taylor expansion of 0 in y
1.304 * [backup-simplify]: Simplify 0 into 0
1.304 * [backup-simplify]: Simplify 1 into 1
1.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.305 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.306 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.306 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.306 * [taylor]: Taking taylor expansion of 1/2 in y
1.306 * [backup-simplify]: Simplify 1/2 into 1/2
1.306 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.306 * [taylor]: Taking taylor expansion of y in y
1.306 * [backup-simplify]: Simplify 0 into 0
1.306 * [backup-simplify]: Simplify 1 into 1
1.306 * [backup-simplify]: Simplify (* 1 1) into 1
1.306 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.308 * [backup-simplify]: Simplify 0 into 0
1.308 * [backup-simplify]: Simplify 0 into 0
1.308 * [backup-simplify]: Simplify 0 into 0
1.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.309 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.310 * [backup-simplify]: Simplify (+ 0 0) into 0
1.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.310 * [taylor]: Taking taylor expansion of 0 in y
1.310 * [backup-simplify]: Simplify 0 into 0
1.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.312 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.313 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
1.313 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
1.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.313 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.313 * [taylor]: Taking taylor expansion of x in y
1.313 * [backup-simplify]: Simplify x into x
1.313 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.313 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.313 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.313 * [taylor]: Taking taylor expansion of y in y
1.313 * [backup-simplify]: Simplify 0 into 0
1.313 * [backup-simplify]: Simplify 1 into 1
1.314 * [backup-simplify]: Simplify (* 1 1) into 1
1.314 * [backup-simplify]: Simplify (/ 1 1) into 1
1.314 * [backup-simplify]: Simplify (+ 0 1) into 1
1.315 * [backup-simplify]: Simplify (sqrt 1) into 1
1.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.316 * [backup-simplify]: Simplify (+ 0 0) into 0
1.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.317 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.317 * [taylor]: Taking taylor expansion of x in x
1.317 * [backup-simplify]: Simplify 0 into 0
1.317 * [backup-simplify]: Simplify 1 into 1
1.317 * [backup-simplify]: Simplify (* 1 1) into 1
1.320 * [backup-simplify]: Simplify (/ 1 1) into 1
1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.320 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.320 * [taylor]: Taking taylor expansion of y in x
1.320 * [backup-simplify]: Simplify y into y
1.321 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.321 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.321 * [backup-simplify]: Simplify (+ 1 0) into 1
1.321 * [backup-simplify]: Simplify (sqrt 1) into 1
1.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.323 * [backup-simplify]: Simplify (+ 0 0) into 0
1.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.323 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.324 * [taylor]: Taking taylor expansion of x in x
1.324 * [backup-simplify]: Simplify 0 into 0
1.324 * [backup-simplify]: Simplify 1 into 1
1.324 * [backup-simplify]: Simplify (* 1 1) into 1
1.324 * [backup-simplify]: Simplify (/ 1 1) into 1
1.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.324 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.324 * [taylor]: Taking taylor expansion of y in x
1.324 * [backup-simplify]: Simplify y into y
1.324 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.324 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.325 * [backup-simplify]: Simplify (+ 1 0) into 1
1.325 * [backup-simplify]: Simplify (sqrt 1) into 1
1.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.327 * [backup-simplify]: Simplify (+ 0 0) into 0
1.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.327 * [taylor]: Taking taylor expansion of 1 in y
1.327 * [backup-simplify]: Simplify 1 into 1
1.327 * [taylor]: Taking taylor expansion of 0 in y
1.327 * [backup-simplify]: Simplify 0 into 0
1.327 * [backup-simplify]: Simplify 1 into 1
1.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.329 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.330 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.330 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.330 * [taylor]: Taking taylor expansion of 1/2 in y
1.330 * [backup-simplify]: Simplify 1/2 into 1/2
1.330 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.330 * [taylor]: Taking taylor expansion of y in y
1.330 * [backup-simplify]: Simplify 0 into 0
1.330 * [backup-simplify]: Simplify 1 into 1
1.330 * [backup-simplify]: Simplify (* 1 1) into 1
1.331 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.332 * [backup-simplify]: Simplify 0 into 0
1.332 * [backup-simplify]: Simplify 0 into 0
1.332 * [backup-simplify]: Simplify 0 into 0
1.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.334 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.334 * [backup-simplify]: Simplify (+ 0 0) into 0
1.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.335 * [taylor]: Taking taylor expansion of 0 in y
1.335 * [backup-simplify]: Simplify 0 into 0
1.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.336 * [backup-simplify]: Simplify 0 into 0
1.336 * [backup-simplify]: Simplify 0 into 0
1.336 * [backup-simplify]: Simplify 0 into 0
1.337 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.337 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
1.337 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* x x) (* y y)))) into (pow (+ (pow x 2) (pow y 2)) 1/4)
1.337 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in (x y) around 0
1.337 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in y
1.337 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in y
1.337 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in y
1.337 * [taylor]: Taking taylor expansion of 1/4 in y
1.337 * [backup-simplify]: Simplify 1/4 into 1/4
1.337 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y
1.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
1.337 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.337 * [taylor]: Taking taylor expansion of x in y
1.337 * [backup-simplify]: Simplify x into x
1.337 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.337 * [taylor]: Taking taylor expansion of y in y
1.337 * [backup-simplify]: Simplify 0 into 0
1.337 * [backup-simplify]: Simplify 1 into 1
1.337 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.337 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.338 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
1.338 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2)))
1.338 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4)
1.338 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x
1.338 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x
1.338 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x
1.338 * [taylor]: Taking taylor expansion of 1/4 in x
1.338 * [backup-simplify]: Simplify 1/4 into 1/4
1.338 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
1.338 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.338 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.338 * [taylor]: Taking taylor expansion of x in x
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify 1 into 1
1.338 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.338 * [taylor]: Taking taylor expansion of y in x
1.338 * [backup-simplify]: Simplify y into y
1.338 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.338 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.338 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
1.339 * [backup-simplify]: Simplify (* 1/4 (log (pow y 2))) into (* 1/4 (log (pow y 2)))
1.339 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow y 2)))) into (pow (pow y 2) 1/4)
1.339 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x
1.339 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x
1.339 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x
1.339 * [taylor]: Taking taylor expansion of 1/4 in x
1.339 * [backup-simplify]: Simplify 1/4 into 1/4
1.339 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
1.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.339 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.339 * [taylor]: Taking taylor expansion of x in x
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 1 into 1
1.339 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.339 * [taylor]: Taking taylor expansion of y in x
1.339 * [backup-simplify]: Simplify y into y
1.339 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.339 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.340 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
1.340 * [backup-simplify]: Simplify (* 1/4 (log (pow y 2))) into (* 1/4 (log (pow y 2)))
1.340 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow y 2)))) into (pow (pow y 2) 1/4)
1.340 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/4) in y
1.340 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow y 2)))) in y
1.340 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow y 2))) in y
1.340 * [taylor]: Taking taylor expansion of 1/4 in y
1.340 * [backup-simplify]: Simplify 1/4 into 1/4
1.340 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y
1.340 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.340 * [taylor]: Taking taylor expansion of y in y
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [backup-simplify]: Simplify 1 into 1
1.340 * [backup-simplify]: Simplify (* 1 1) into 1
1.341 * [backup-simplify]: Simplify (log 1) into 0
1.341 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
1.341 * [backup-simplify]: Simplify (* 1/4 (* 2 (log y))) into (* 1/2 (log y))
1.341 * [backup-simplify]: Simplify (exp (* 1/2 (log y))) into (pow y 1/2)
1.341 * [backup-simplify]: Simplify (pow y 1/2) into (pow y 1/2)
1.342 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.342 * [backup-simplify]: Simplify (+ 0 0) into 0
1.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0
1.343 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow y 2)))) into 0
1.344 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.344 * [taylor]: Taking taylor expansion of 0 in y
1.344 * [backup-simplify]: Simplify 0 into 0
1.344 * [backup-simplify]: Simplify 0 into 0
1.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.346 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
1.346 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log y)))) into 0
1.347 * [backup-simplify]: Simplify (* (exp (* 1/2 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
1.347 * [backup-simplify]: Simplify 0 into 0
1.347 * [backup-simplify]: Simplify (* 1 1) into 1
1.348 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.348 * [backup-simplify]: Simplify (+ 1 0) into 1
1.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2))
1.350 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/4 (/ 1 (pow y 2)))
1.351 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow y 3))))
1.351 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y
1.351 * [taylor]: Taking taylor expansion of 1/4 in y
1.351 * [backup-simplify]: Simplify 1/4 into 1/4
1.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y
1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
1.351 * [taylor]: Taking taylor expansion of (pow y 3) in y
1.351 * [taylor]: Taking taylor expansion of y in y
1.351 * [backup-simplify]: Simplify 0 into 0
1.351 * [backup-simplify]: Simplify 1 into 1
1.352 * [backup-simplify]: Simplify (* 1 1) into 1
1.352 * [backup-simplify]: Simplify (* 1 1) into 1
1.352 * [backup-simplify]: Simplify (/ 1 1) into 1
1.353 * [backup-simplify]: Simplify (sqrt 0) into 0
1.354 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.358 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.359 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
1.359 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1.360 * [backup-simplify]: Simplify 0 into 0
1.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
1.363 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
1.364 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0
1.365 * [backup-simplify]: Simplify (* (exp (* 1/2 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.365 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.366 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.366 * [backup-simplify]: Simplify (+ 0 0) into 0
1.369 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0
1.370 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0
1.371 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.371 * [taylor]: Taking taylor expansion of 0 in y
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.378 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
1.379 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1.380 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* y (pow x 2))) (+ (* (- +nan.0) (pow (* 1 x) 2)) (pow y 1/2))) into (- (pow y 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (* (pow x 2) y)))))
1.380 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4)
1.380 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0
1.380 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y
1.380 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
1.380 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
1.380 * [taylor]: Taking taylor expansion of 1/4 in y
1.380 * [backup-simplify]: Simplify 1/4 into 1/4
1.380 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.380 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.380 * [taylor]: Taking taylor expansion of x in y
1.380 * [backup-simplify]: Simplify x into x
1.380 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.381 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.381 * [taylor]: Taking taylor expansion of y in y
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify 1 into 1
1.381 * [backup-simplify]: Simplify (* 1 1) into 1
1.381 * [backup-simplify]: Simplify (/ 1 1) into 1
1.382 * [backup-simplify]: Simplify (+ 0 1) into 1
1.382 * [backup-simplify]: Simplify (log 1) into 0
1.382 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
1.382 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
1.383 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
1.383 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x
1.383 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
1.383 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
1.383 * [taylor]: Taking taylor expansion of 1/4 in x
1.383 * [backup-simplify]: Simplify 1/4 into 1/4
1.383 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.383 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.383 * [taylor]: Taking taylor expansion of x in x
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify 1 into 1
1.383 * [backup-simplify]: Simplify (* 1 1) into 1
1.383 * [backup-simplify]: Simplify (/ 1 1) into 1
1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.384 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.384 * [taylor]: Taking taylor expansion of y in x
1.384 * [backup-simplify]: Simplify y into y
1.384 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.384 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.384 * [backup-simplify]: Simplify (+ 1 0) into 1
1.384 * [backup-simplify]: Simplify (log 1) into 0
1.385 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.385 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
1.385 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
1.385 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x
1.385 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
1.385 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
1.385 * [taylor]: Taking taylor expansion of 1/4 in x
1.385 * [backup-simplify]: Simplify 1/4 into 1/4
1.385 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.385 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.385 * [taylor]: Taking taylor expansion of x in x
1.385 * [backup-simplify]: Simplify 0 into 0
1.385 * [backup-simplify]: Simplify 1 into 1
1.386 * [backup-simplify]: Simplify (* 1 1) into 1
1.386 * [backup-simplify]: Simplify (/ 1 1) into 1
1.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.386 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.386 * [taylor]: Taking taylor expansion of y in x
1.386 * [backup-simplify]: Simplify y into y
1.386 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.386 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.387 * [backup-simplify]: Simplify (+ 1 0) into 1
1.387 * [backup-simplify]: Simplify (log 1) into 0
1.387 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.387 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
1.387 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
1.387 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
1.387 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
1.388 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
1.388 * [taylor]: Taking taylor expansion of -1/2 in y
1.388 * [backup-simplify]: Simplify -1/2 into -1/2
1.388 * [taylor]: Taking taylor expansion of (log x) in y
1.388 * [taylor]: Taking taylor expansion of x in y
1.388 * [backup-simplify]: Simplify x into x
1.388 * [backup-simplify]: Simplify (log x) into (log x)
1.388 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
1.388 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
1.388 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
1.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.389 * [backup-simplify]: Simplify (+ 0 0) into 0
1.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.391 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.391 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
1.392 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
1.392 * [taylor]: Taking taylor expansion of 0 in y
1.392 * [backup-simplify]: Simplify 0 into 0
1.392 * [backup-simplify]: Simplify 0 into 0
1.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
1.393 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
1.394 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
1.394 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.396 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.397 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
1.398 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.398 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 (pow y 2)))
1.399 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))
1.399 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y
1.399 * [taylor]: Taking taylor expansion of 1/4 in y
1.399 * [backup-simplify]: Simplify 1/4 into 1/4
1.399 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y
1.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
1.399 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.399 * [taylor]: Taking taylor expansion of x in y
1.399 * [backup-simplify]: Simplify x into x
1.399 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.399 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
1.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
1.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.400 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.400 * [taylor]: Taking taylor expansion of y in y
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 1 into 1
1.400 * [backup-simplify]: Simplify (* 1 1) into 1
1.400 * [backup-simplify]: Simplify (/ 1 1) into 1
1.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.404 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
1.404 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
1.405 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
1.405 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
1.406 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 x))))) into 0
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [backup-simplify]: Simplify 0 into 0
1.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
1.408 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
1.409 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.409 * [backup-simplify]: Simplify 0 into 0
1.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.411 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.411 * [backup-simplify]: Simplify (+ 0 0) into 0
1.414 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1.415 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.416 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
1.418 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.418 * [taylor]: Taking taylor expansion of 0 in y
1.418 * [backup-simplify]: Simplify 0 into 0
1.418 * [backup-simplify]: Simplify 0 into 0
1.418 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2)
1.418 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4)
1.418 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0
1.418 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y
1.418 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
1.418 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
1.418 * [taylor]: Taking taylor expansion of 1/4 in y
1.418 * [backup-simplify]: Simplify 1/4 into 1/4
1.418 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
1.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
1.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.418 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.418 * [taylor]: Taking taylor expansion of x in y
1.418 * [backup-simplify]: Simplify x into x
1.419 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.419 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.419 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.419 * [taylor]: Taking taylor expansion of y in y
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 1 into 1
1.419 * [backup-simplify]: Simplify (* 1 1) into 1
1.419 * [backup-simplify]: Simplify (/ 1 1) into 1
1.420 * [backup-simplify]: Simplify (+ 0 1) into 1
1.420 * [backup-simplify]: Simplify (log 1) into 0
1.421 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
1.421 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
1.421 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
1.421 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x
1.421 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
1.421 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
1.421 * [taylor]: Taking taylor expansion of 1/4 in x
1.421 * [backup-simplify]: Simplify 1/4 into 1/4
1.421 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.421 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.421 * [taylor]: Taking taylor expansion of x in x
1.421 * [backup-simplify]: Simplify 0 into 0
1.421 * [backup-simplify]: Simplify 1 into 1
1.421 * [backup-simplify]: Simplify (* 1 1) into 1
1.422 * [backup-simplify]: Simplify (/ 1 1) into 1
1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.422 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.422 * [taylor]: Taking taylor expansion of y in x
1.422 * [backup-simplify]: Simplify y into y
1.422 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.422 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.422 * [backup-simplify]: Simplify (+ 1 0) into 1
1.423 * [backup-simplify]: Simplify (log 1) into 0
1.423 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.423 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
1.423 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
1.423 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x
1.423 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
1.423 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
1.423 * [taylor]: Taking taylor expansion of 1/4 in x
1.423 * [backup-simplify]: Simplify 1/4 into 1/4
1.423 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.423 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.424 * [taylor]: Taking taylor expansion of x in x
1.424 * [backup-simplify]: Simplify 0 into 0
1.424 * [backup-simplify]: Simplify 1 into 1
1.424 * [backup-simplify]: Simplify (* 1 1) into 1
1.424 * [backup-simplify]: Simplify (/ 1 1) into 1
1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.424 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.424 * [taylor]: Taking taylor expansion of y in x
1.424 * [backup-simplify]: Simplify y into y
1.424 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.425 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.425 * [backup-simplify]: Simplify (+ 1 0) into 1
1.425 * [backup-simplify]: Simplify (log 1) into 0
1.426 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.426 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
1.426 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
1.426 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
1.426 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
1.426 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
1.426 * [taylor]: Taking taylor expansion of -1/2 in y
1.426 * [backup-simplify]: Simplify -1/2 into -1/2
1.426 * [taylor]: Taking taylor expansion of (log x) in y
1.426 * [taylor]: Taking taylor expansion of x in y
1.426 * [backup-simplify]: Simplify x into x
1.426 * [backup-simplify]: Simplify (log x) into (log x)
1.426 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
1.426 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
1.426 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
1.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.428 * [backup-simplify]: Simplify (+ 0 0) into 0
1.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.430 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.430 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
1.431 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
1.431 * [taylor]: Taking taylor expansion of 0 in y
1.431 * [backup-simplify]: Simplify 0 into 0
1.431 * [backup-simplify]: Simplify 0 into 0
1.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
1.432 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
1.433 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
1.433 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.435 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
1.437 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.437 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 (pow y 2)))
1.438 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))
1.438 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y
1.438 * [taylor]: Taking taylor expansion of 1/4 in y
1.438 * [backup-simplify]: Simplify 1/4 into 1/4
1.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y
1.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
1.439 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.439 * [taylor]: Taking taylor expansion of x in y
1.439 * [backup-simplify]: Simplify x into x
1.439 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.439 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
1.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.439 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.439 * [taylor]: Taking taylor expansion of y in y
1.439 * [backup-simplify]: Simplify 0 into 0
1.439 * [backup-simplify]: Simplify 1 into 1
1.439 * [backup-simplify]: Simplify (* 1 1) into 1
1.440 * [backup-simplify]: Simplify (/ 1 1) into 1
1.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.447 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
1.448 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
1.448 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
1.448 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
1.449 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 x))))) into 0
1.449 * [backup-simplify]: Simplify 0 into 0
1.449 * [backup-simplify]: Simplify 0 into 0
1.450 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
1.451 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
1.452 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.452 * [backup-simplify]: Simplify 0 into 0
1.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.454 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.454 * [backup-simplify]: Simplify (+ 0 0) into 0
1.457 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1.458 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
1.459 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
1.460 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.461 * [taylor]: Taking taylor expansion of 0 in y
1.461 * [backup-simplify]: Simplify 0 into 0
1.461 * [backup-simplify]: Simplify 0 into 0
1.461 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/2) into (pow (/ -1 x) -1/2)
1.461 * * * [progress]: simplifying candidates
1.464 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 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 y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y))))))
  (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (exp (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))))
  (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (- (* x x) (* y y)))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- (* x x) (* y y)))))
  (* (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (log (sqrt (sqrt (+ (* x x) (* y y)))))
  (exp (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))
  (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))
  (sqrt (sqrt (cbrt (+ (* x x) (* y y)))))
  (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))
  (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))
  (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))
  (sqrt 1)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))
  (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))
  (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (sqrt (sqrt (- (* x x) (* y y))))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))
  (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (- (pow y 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (* (pow x 2) y)))))
  (pow (/ 1 x) -1/2)
  (pow (/ -1 x) -1/2)
2.076 * * * [progress]: adding candidates to table
2.394 * * [progress]: iteration 3 / 4
2.394 * * * [progress]: picking best candidate
2.401 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))>
2.401 * * * [progress]: localizing error
2.427 * * * [progress]: generating rewritten candidates
2.427 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
2.439 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
2.451 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
2.462 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
2.568 * * * [progress]: generating series expansions
2.568 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
2.569 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
2.569 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.569 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.569 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.569 * [taylor]: Taking taylor expansion of x in y
2.569 * [backup-simplify]: Simplify x into x
2.569 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.569 * [taylor]: Taking taylor expansion of y in y
2.569 * [backup-simplify]: Simplify 0 into 0
2.569 * [backup-simplify]: Simplify 1 into 1
2.569 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.569 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.569 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.569 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.570 * [backup-simplify]: Simplify (+ 0 0) into 0
2.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.570 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.570 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.570 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.570 * [taylor]: Taking taylor expansion of x in x
2.570 * [backup-simplify]: Simplify 0 into 0
2.570 * [backup-simplify]: Simplify 1 into 1
2.570 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.570 * [taylor]: Taking taylor expansion of y in x
2.570 * [backup-simplify]: Simplify y into y
2.571 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.571 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.571 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.571 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.571 * [backup-simplify]: Simplify (+ 0 0) into 0
2.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.571 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.571 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.571 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.571 * [taylor]: Taking taylor expansion of x in x
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 1 into 1
2.572 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.572 * [taylor]: Taking taylor expansion of y in x
2.572 * [backup-simplify]: Simplify y into y
2.572 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.572 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.572 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.572 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.572 * [backup-simplify]: Simplify (+ 0 0) into 0
2.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.572 * [taylor]: Taking taylor expansion of y in y
2.572 * [backup-simplify]: Simplify 0 into 0
2.573 * [backup-simplify]: Simplify 1 into 1
2.573 * [backup-simplify]: Simplify 0 into 0
2.573 * [taylor]: Taking taylor expansion of 0 in y
2.573 * [backup-simplify]: Simplify 0 into 0
2.573 * [backup-simplify]: Simplify 0 into 0
2.573 * [backup-simplify]: Simplify 1 into 1
2.573 * [backup-simplify]: Simplify (* 1 1) into 1
2.573 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.574 * [backup-simplify]: Simplify (+ 1 0) into 1
2.574 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.574 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.574 * [taylor]: Taking taylor expansion of 1/2 in y
2.574 * [backup-simplify]: Simplify 1/2 into 1/2
2.574 * [taylor]: Taking taylor expansion of y in y
2.574 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify 1 into 1
2.575 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.577 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.577 * [backup-simplify]: Simplify (+ 0 0) into 0
2.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.577 * [taylor]: Taking taylor expansion of 0 in y
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.578 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.579 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.579 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.579 * [taylor]: Taking taylor expansion of x in y
2.579 * [backup-simplify]: Simplify x into x
2.579 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.579 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.579 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.579 * [taylor]: Taking taylor expansion of y in y
2.579 * [backup-simplify]: Simplify 0 into 0
2.579 * [backup-simplify]: Simplify 1 into 1
2.579 * [backup-simplify]: Simplify (* 1 1) into 1
2.580 * [backup-simplify]: Simplify (/ 1 1) into 1
2.580 * [backup-simplify]: Simplify (+ 0 1) into 1
2.580 * [backup-simplify]: Simplify (sqrt 1) into 1
2.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.582 * [backup-simplify]: Simplify (+ 0 0) into 0
2.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.582 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.582 * [taylor]: Taking taylor expansion of x in x
2.582 * [backup-simplify]: Simplify 0 into 0
2.582 * [backup-simplify]: Simplify 1 into 1
2.583 * [backup-simplify]: Simplify (* 1 1) into 1
2.583 * [backup-simplify]: Simplify (/ 1 1) into 1
2.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.583 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.583 * [taylor]: Taking taylor expansion of y in x
2.583 * [backup-simplify]: Simplify y into y
2.583 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.583 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.584 * [backup-simplify]: Simplify (+ 1 0) into 1
2.584 * [backup-simplify]: Simplify (sqrt 1) into 1
2.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.585 * [backup-simplify]: Simplify (+ 0 0) into 0
2.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.586 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.586 * [taylor]: Taking taylor expansion of x in x
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 1 into 1
2.587 * [backup-simplify]: Simplify (* 1 1) into 1
2.587 * [backup-simplify]: Simplify (/ 1 1) into 1
2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.587 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.587 * [taylor]: Taking taylor expansion of y in x
2.587 * [backup-simplify]: Simplify y into y
2.587 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.587 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.588 * [backup-simplify]: Simplify (+ 1 0) into 1
2.588 * [backup-simplify]: Simplify (sqrt 1) into 1
2.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.589 * [backup-simplify]: Simplify (+ 0 0) into 0
2.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.590 * [taylor]: Taking taylor expansion of 1 in y
2.590 * [backup-simplify]: Simplify 1 into 1
2.590 * [taylor]: Taking taylor expansion of 0 in y
2.590 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify 1 into 1
2.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.592 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.593 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.593 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.593 * [taylor]: Taking taylor expansion of 1/2 in y
2.593 * [backup-simplify]: Simplify 1/2 into 1/2
2.593 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.593 * [taylor]: Taking taylor expansion of y in y
2.593 * [backup-simplify]: Simplify 0 into 0
2.593 * [backup-simplify]: Simplify 1 into 1
2.593 * [backup-simplify]: Simplify (* 1 1) into 1
2.594 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.595 * [backup-simplify]: Simplify 0 into 0
2.595 * [backup-simplify]: Simplify 0 into 0
2.595 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.596 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.597 * [backup-simplify]: Simplify (+ 0 0) into 0
2.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.598 * [taylor]: Taking taylor expansion of 0 in y
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.599 * [backup-simplify]: Simplify 0 into 0
2.599 * [backup-simplify]: Simplify 0 into 0
2.599 * [backup-simplify]: Simplify 0 into 0
2.599 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.600 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.600 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.600 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.600 * [taylor]: Taking taylor expansion of x in y
2.600 * [backup-simplify]: Simplify x into x
2.600 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.600 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.600 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.600 * [taylor]: Taking taylor expansion of y in y
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
2.601 * [backup-simplify]: Simplify (/ 1 1) into 1
2.601 * [backup-simplify]: Simplify (+ 0 1) into 1
2.601 * [backup-simplify]: Simplify (sqrt 1) into 1
2.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.603 * [backup-simplify]: Simplify (+ 0 0) into 0
2.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.603 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.603 * [taylor]: Taking taylor expansion of x in x
2.603 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify 1 into 1
2.604 * [backup-simplify]: Simplify (* 1 1) into 1
2.604 * [backup-simplify]: Simplify (/ 1 1) into 1
2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.604 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.604 * [taylor]: Taking taylor expansion of y in x
2.604 * [backup-simplify]: Simplify y into y
2.604 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.604 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.605 * [backup-simplify]: Simplify (+ 1 0) into 1
2.605 * [backup-simplify]: Simplify (sqrt 1) into 1
2.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.606 * [backup-simplify]: Simplify (+ 0 0) into 0
2.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.607 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.607 * [taylor]: Taking taylor expansion of x in x
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.607 * [backup-simplify]: Simplify (* 1 1) into 1
2.608 * [backup-simplify]: Simplify (/ 1 1) into 1
2.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.608 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.608 * [taylor]: Taking taylor expansion of y in x
2.608 * [backup-simplify]: Simplify y into y
2.608 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.608 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.608 * [backup-simplify]: Simplify (+ 1 0) into 1
2.609 * [backup-simplify]: Simplify (sqrt 1) into 1
2.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.610 * [backup-simplify]: Simplify (+ 0 0) into 0
2.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.611 * [taylor]: Taking taylor expansion of 1 in y
2.611 * [backup-simplify]: Simplify 1 into 1
2.611 * [taylor]: Taking taylor expansion of 0 in y
2.611 * [backup-simplify]: Simplify 0 into 0
2.611 * [backup-simplify]: Simplify 1 into 1
2.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.616 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.617 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.617 * [taylor]: Taking taylor expansion of 1/2 in y
2.618 * [backup-simplify]: Simplify 1/2 into 1/2
2.618 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.618 * [taylor]: Taking taylor expansion of y in y
2.618 * [backup-simplify]: Simplify 0 into 0
2.618 * [backup-simplify]: Simplify 1 into 1
2.618 * [backup-simplify]: Simplify (* 1 1) into 1
2.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.619 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.621 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.622 * [backup-simplify]: Simplify (+ 0 0) into 0
2.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.622 * [taylor]: Taking taylor expansion of 0 in y
2.622 * [backup-simplify]: Simplify 0 into 0
2.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.624 * [backup-simplify]: Simplify 0 into 0
2.624 * [backup-simplify]: Simplify 0 into 0
2.624 * [backup-simplify]: Simplify 0 into 0
2.624 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.624 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
2.624 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
2.624 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.624 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.624 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.624 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.624 * [taylor]: Taking taylor expansion of x in y
2.624 * [backup-simplify]: Simplify x into x
2.624 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.624 * [taylor]: Taking taylor expansion of y in y
2.624 * [backup-simplify]: Simplify 0 into 0
2.625 * [backup-simplify]: Simplify 1 into 1
2.625 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.625 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.625 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.625 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.625 * [backup-simplify]: Simplify (+ 0 0) into 0
2.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.625 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.625 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.625 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.625 * [taylor]: Taking taylor expansion of x in x
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [backup-simplify]: Simplify 1 into 1
2.625 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.626 * [taylor]: Taking taylor expansion of y in x
2.626 * [backup-simplify]: Simplify y into y
2.626 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.626 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.626 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.626 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.626 * [backup-simplify]: Simplify (+ 0 0) into 0
2.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.626 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.626 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.626 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.626 * [taylor]: Taking taylor expansion of x in x
2.626 * [backup-simplify]: Simplify 0 into 0
2.626 * [backup-simplify]: Simplify 1 into 1
2.627 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.627 * [taylor]: Taking taylor expansion of y in x
2.627 * [backup-simplify]: Simplify y into y
2.627 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.627 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.627 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.627 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.627 * [backup-simplify]: Simplify (+ 0 0) into 0
2.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.627 * [taylor]: Taking taylor expansion of y in y
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify 1 into 1
2.628 * [backup-simplify]: Simplify 0 into 0
2.628 * [taylor]: Taking taylor expansion of 0 in y
2.628 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify 1 into 1
2.628 * [backup-simplify]: Simplify (* 1 1) into 1
2.628 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.629 * [backup-simplify]: Simplify (+ 1 0) into 1
2.629 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.629 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.629 * [taylor]: Taking taylor expansion of 1/2 in y
2.629 * [backup-simplify]: Simplify 1/2 into 1/2
2.629 * [taylor]: Taking taylor expansion of y in y
2.629 * [backup-simplify]: Simplify 0 into 0
2.629 * [backup-simplify]: Simplify 1 into 1
2.630 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.630 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.632 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.632 * [backup-simplify]: Simplify (+ 0 0) into 0
2.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.632 * [taylor]: Taking taylor expansion of 0 in y
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.633 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.633 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.634 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.634 * [taylor]: Taking taylor expansion of x in y
2.634 * [backup-simplify]: Simplify x into x
2.634 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.634 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.634 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.634 * [taylor]: Taking taylor expansion of y in y
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 1 into 1
2.634 * [backup-simplify]: Simplify (* 1 1) into 1
2.634 * [backup-simplify]: Simplify (/ 1 1) into 1
2.635 * [backup-simplify]: Simplify (+ 0 1) into 1
2.635 * [backup-simplify]: Simplify (sqrt 1) into 1
2.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.637 * [backup-simplify]: Simplify (+ 0 0) into 0
2.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.637 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.637 * [taylor]: Taking taylor expansion of x in x
2.637 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify 1 into 1
2.638 * [backup-simplify]: Simplify (* 1 1) into 1
2.638 * [backup-simplify]: Simplify (/ 1 1) into 1
2.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.638 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.638 * [taylor]: Taking taylor expansion of y in x
2.638 * [backup-simplify]: Simplify y into y
2.638 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.638 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.639 * [backup-simplify]: Simplify (+ 1 0) into 1
2.639 * [backup-simplify]: Simplify (sqrt 1) into 1
2.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.640 * [backup-simplify]: Simplify (+ 0 0) into 0
2.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.641 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.641 * [taylor]: Taking taylor expansion of x in x
2.641 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify 1 into 1
2.641 * [backup-simplify]: Simplify (* 1 1) into 1
2.642 * [backup-simplify]: Simplify (/ 1 1) into 1
2.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.642 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.642 * [taylor]: Taking taylor expansion of y in x
2.642 * [backup-simplify]: Simplify y into y
2.642 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.642 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.642 * [backup-simplify]: Simplify (+ 1 0) into 1
2.643 * [backup-simplify]: Simplify (sqrt 1) into 1
2.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.644 * [backup-simplify]: Simplify (+ 0 0) into 0
2.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.645 * [taylor]: Taking taylor expansion of 1 in y
2.645 * [backup-simplify]: Simplify 1 into 1
2.645 * [taylor]: Taking taylor expansion of 0 in y
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 1 into 1
2.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.646 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.647 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.647 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.647 * [taylor]: Taking taylor expansion of 1/2 in y
2.648 * [backup-simplify]: Simplify 1/2 into 1/2
2.648 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.648 * [taylor]: Taking taylor expansion of y in y
2.648 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify 1 into 1
2.648 * [backup-simplify]: Simplify (* 1 1) into 1
2.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.651 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.652 * [backup-simplify]: Simplify (+ 0 0) into 0
2.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.652 * [taylor]: Taking taylor expansion of 0 in y
2.652 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.654 * [backup-simplify]: Simplify 0 into 0
2.654 * [backup-simplify]: Simplify 0 into 0
2.654 * [backup-simplify]: Simplify 0 into 0
2.654 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.654 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.654 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.654 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.654 * [taylor]: Taking taylor expansion of x in y
2.654 * [backup-simplify]: Simplify x into x
2.654 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.654 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.654 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.654 * [taylor]: Taking taylor expansion of y in y
2.655 * [backup-simplify]: Simplify 0 into 0
2.655 * [backup-simplify]: Simplify 1 into 1
2.655 * [backup-simplify]: Simplify (* 1 1) into 1
2.655 * [backup-simplify]: Simplify (/ 1 1) into 1
2.655 * [backup-simplify]: Simplify (+ 0 1) into 1
2.656 * [backup-simplify]: Simplify (sqrt 1) into 1
2.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.657 * [backup-simplify]: Simplify (+ 0 0) into 0
2.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.658 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.658 * [taylor]: Taking taylor expansion of x in x
2.658 * [backup-simplify]: Simplify 0 into 0
2.658 * [backup-simplify]: Simplify 1 into 1
2.658 * [backup-simplify]: Simplify (* 1 1) into 1
2.658 * [backup-simplify]: Simplify (/ 1 1) into 1
2.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.658 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.659 * [taylor]: Taking taylor expansion of y in x
2.659 * [backup-simplify]: Simplify y into y
2.659 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.659 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.659 * [backup-simplify]: Simplify (+ 1 0) into 1
2.659 * [backup-simplify]: Simplify (sqrt 1) into 1
2.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.660 * [backup-simplify]: Simplify (+ 0 0) into 0
2.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.661 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.661 * [taylor]: Taking taylor expansion of x in x
2.661 * [backup-simplify]: Simplify 0 into 0
2.661 * [backup-simplify]: Simplify 1 into 1
2.661 * [backup-simplify]: Simplify (* 1 1) into 1
2.661 * [backup-simplify]: Simplify (/ 1 1) into 1
2.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.662 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.662 * [taylor]: Taking taylor expansion of y in x
2.662 * [backup-simplify]: Simplify y into y
2.662 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.662 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.662 * [backup-simplify]: Simplify (+ 1 0) into 1
2.662 * [backup-simplify]: Simplify (sqrt 1) into 1
2.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.663 * [backup-simplify]: Simplify (+ 0 0) into 0
2.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.664 * [taylor]: Taking taylor expansion of 1 in y
2.664 * [backup-simplify]: Simplify 1 into 1
2.664 * [taylor]: Taking taylor expansion of 0 in y
2.664 * [backup-simplify]: Simplify 0 into 0
2.664 * [backup-simplify]: Simplify 1 into 1
2.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.665 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.666 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.666 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.666 * [taylor]: Taking taylor expansion of 1/2 in y
2.666 * [backup-simplify]: Simplify 1/2 into 1/2
2.666 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.666 * [taylor]: Taking taylor expansion of y in y
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify 1 into 1
2.666 * [backup-simplify]: Simplify (* 1 1) into 1
2.666 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.667 * [backup-simplify]: Simplify 0 into 0
2.667 * [backup-simplify]: Simplify 0 into 0
2.667 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.669 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.669 * [backup-simplify]: Simplify (+ 0 0) into 0
2.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.670 * [taylor]: Taking taylor expansion of 0 in y
2.670 * [backup-simplify]: Simplify 0 into 0
2.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.671 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
2.671 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
2.671 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.671 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.671 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.671 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.671 * [taylor]: Taking taylor expansion of x in y
2.671 * [backup-simplify]: Simplify x into x
2.671 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.671 * [taylor]: Taking taylor expansion of y in y
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify 1 into 1
2.671 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.671 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.671 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.671 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.672 * [backup-simplify]: Simplify (+ 0 0) into 0
2.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.672 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.672 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.672 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.672 * [taylor]: Taking taylor expansion of x in x
2.672 * [backup-simplify]: Simplify 0 into 0
2.672 * [backup-simplify]: Simplify 1 into 1
2.672 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.672 * [taylor]: Taking taylor expansion of y in x
2.672 * [backup-simplify]: Simplify y into y
2.672 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.672 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.672 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.672 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.673 * [backup-simplify]: Simplify (+ 0 0) into 0
2.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.673 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.673 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.673 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.673 * [taylor]: Taking taylor expansion of x in x
2.673 * [backup-simplify]: Simplify 0 into 0
2.673 * [backup-simplify]: Simplify 1 into 1
2.673 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.673 * [taylor]: Taking taylor expansion of y in x
2.673 * [backup-simplify]: Simplify y into y
2.673 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.673 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.673 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.673 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.673 * [backup-simplify]: Simplify (+ 0 0) into 0
2.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.673 * [taylor]: Taking taylor expansion of y in y
2.673 * [backup-simplify]: Simplify 0 into 0
2.673 * [backup-simplify]: Simplify 1 into 1
2.674 * [backup-simplify]: Simplify 0 into 0
2.674 * [taylor]: Taking taylor expansion of 0 in y
2.674 * [backup-simplify]: Simplify 0 into 0
2.674 * [backup-simplify]: Simplify 0 into 0
2.674 * [backup-simplify]: Simplify 1 into 1
2.674 * [backup-simplify]: Simplify (* 1 1) into 1
2.674 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.674 * [backup-simplify]: Simplify (+ 1 0) into 1
2.675 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.675 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.675 * [taylor]: Taking taylor expansion of 1/2 in y
2.675 * [backup-simplify]: Simplify 1/2 into 1/2
2.675 * [taylor]: Taking taylor expansion of y in y
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify 1 into 1
2.675 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.677 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.677 * [backup-simplify]: Simplify (+ 0 0) into 0
2.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.677 * [taylor]: Taking taylor expansion of 0 in y
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.678 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.678 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.678 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.678 * [taylor]: Taking taylor expansion of x in y
2.678 * [backup-simplify]: Simplify x into x
2.678 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.678 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.678 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.678 * [taylor]: Taking taylor expansion of y in y
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 1 into 1
2.679 * [backup-simplify]: Simplify (* 1 1) into 1
2.679 * [backup-simplify]: Simplify (/ 1 1) into 1
2.679 * [backup-simplify]: Simplify (+ 0 1) into 1
2.679 * [backup-simplify]: Simplify (sqrt 1) into 1
2.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.680 * [backup-simplify]: Simplify (+ 0 0) into 0
2.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.681 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.681 * [taylor]: Taking taylor expansion of x in x
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 1 into 1
2.681 * [backup-simplify]: Simplify (* 1 1) into 1
2.681 * [backup-simplify]: Simplify (/ 1 1) into 1
2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.682 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.682 * [taylor]: Taking taylor expansion of y in x
2.682 * [backup-simplify]: Simplify y into y
2.682 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.682 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.682 * [backup-simplify]: Simplify (+ 1 0) into 1
2.682 * [backup-simplify]: Simplify (sqrt 1) into 1
2.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.683 * [backup-simplify]: Simplify (+ 0 0) into 0
2.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.684 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.684 * [taylor]: Taking taylor expansion of x in x
2.684 * [backup-simplify]: Simplify 0 into 0
2.684 * [backup-simplify]: Simplify 1 into 1
2.684 * [backup-simplify]: Simplify (* 1 1) into 1
2.684 * [backup-simplify]: Simplify (/ 1 1) into 1
2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.684 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.684 * [taylor]: Taking taylor expansion of y in x
2.684 * [backup-simplify]: Simplify y into y
2.684 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.685 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.685 * [backup-simplify]: Simplify (+ 1 0) into 1
2.685 * [backup-simplify]: Simplify (sqrt 1) into 1
2.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.686 * [backup-simplify]: Simplify (+ 0 0) into 0
2.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.687 * [taylor]: Taking taylor expansion of 1 in y
2.687 * [backup-simplify]: Simplify 1 into 1
2.687 * [taylor]: Taking taylor expansion of 0 in y
2.687 * [backup-simplify]: Simplify 0 into 0
2.687 * [backup-simplify]: Simplify 1 into 1
2.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.688 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.689 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.689 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.689 * [taylor]: Taking taylor expansion of 1/2 in y
2.689 * [backup-simplify]: Simplify 1/2 into 1/2
2.689 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.689 * [taylor]: Taking taylor expansion of y in y
2.689 * [backup-simplify]: Simplify 0 into 0
2.689 * [backup-simplify]: Simplify 1 into 1
2.689 * [backup-simplify]: Simplify (* 1 1) into 1
2.689 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.690 * [backup-simplify]: Simplify 0 into 0
2.690 * [backup-simplify]: Simplify 0 into 0
2.690 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.692 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.692 * [backup-simplify]: Simplify (+ 0 0) into 0
2.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.693 * [taylor]: Taking taylor expansion of 0 in y
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.694 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.694 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.694 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.694 * [taylor]: Taking taylor expansion of x in y
2.694 * [backup-simplify]: Simplify x into x
2.694 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.694 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.694 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.694 * [taylor]: Taking taylor expansion of y in y
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 1 into 1
2.695 * [backup-simplify]: Simplify (* 1 1) into 1
2.695 * [backup-simplify]: Simplify (/ 1 1) into 1
2.695 * [backup-simplify]: Simplify (+ 0 1) into 1
2.695 * [backup-simplify]: Simplify (sqrt 1) into 1
2.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.696 * [backup-simplify]: Simplify (+ 0 0) into 0
2.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.697 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.697 * [taylor]: Taking taylor expansion of x in x
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 1 into 1
2.697 * [backup-simplify]: Simplify (* 1 1) into 1
2.697 * [backup-simplify]: Simplify (/ 1 1) into 1
2.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.697 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.697 * [taylor]: Taking taylor expansion of y in x
2.698 * [backup-simplify]: Simplify y into y
2.698 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.698 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.698 * [backup-simplify]: Simplify (+ 1 0) into 1
2.698 * [backup-simplify]: Simplify (sqrt 1) into 1
2.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.700 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.700 * [taylor]: Taking taylor expansion of x in x
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 1 into 1
2.700 * [backup-simplify]: Simplify (* 1 1) into 1
2.700 * [backup-simplify]: Simplify (/ 1 1) into 1
2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.700 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.700 * [taylor]: Taking taylor expansion of y in x
2.700 * [backup-simplify]: Simplify y into y
2.700 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.701 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.701 * [backup-simplify]: Simplify (+ 1 0) into 1
2.701 * [backup-simplify]: Simplify (sqrt 1) into 1
2.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.702 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.703 * [taylor]: Taking taylor expansion of 1 in y
2.703 * [backup-simplify]: Simplify 1 into 1
2.703 * [taylor]: Taking taylor expansion of 0 in y
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 1 into 1
2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.704 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.705 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.705 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.705 * [taylor]: Taking taylor expansion of 1/2 in y
2.705 * [backup-simplify]: Simplify 1/2 into 1/2
2.705 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.705 * [taylor]: Taking taylor expansion of y in y
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 1 into 1
2.705 * [backup-simplify]: Simplify (* 1 1) into 1
2.705 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 0 into 0
2.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.708 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.708 * [backup-simplify]: Simplify (+ 0 0) into 0
2.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.708 * [taylor]: Taking taylor expansion of 0 in y
2.708 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.710 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
2.710 * [backup-simplify]: Simplify (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) into (pow (+ (pow x 2) (pow y 2)) 1/4)
2.710 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in (x y) around 0
2.710 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in y
2.710 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in y
2.710 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in y
2.710 * [taylor]: Taking taylor expansion of 1/4 in y
2.710 * [backup-simplify]: Simplify 1/4 into 1/4
2.710 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y
2.710 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.710 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.710 * [taylor]: Taking taylor expansion of x in y
2.710 * [backup-simplify]: Simplify x into x
2.710 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.710 * [taylor]: Taking taylor expansion of y in y
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 1 into 1
2.710 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.710 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.711 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
2.711 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2)))
2.711 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4)
2.711 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x
2.711 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x
2.711 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x
2.711 * [taylor]: Taking taylor expansion of 1/4 in x
2.711 * [backup-simplify]: Simplify 1/4 into 1/4
2.711 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
2.711 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.711 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.711 * [taylor]: Taking taylor expansion of x in x
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [backup-simplify]: Simplify 1 into 1
2.711 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.711 * [taylor]: Taking taylor expansion of y in x
2.711 * [backup-simplify]: Simplify y into y
2.711 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.711 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.711 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
2.711 * [backup-simplify]: Simplify (* 1/4 (log (pow y 2))) into (* 1/4 (log (pow y 2)))
2.711 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow y 2)))) into (pow (pow y 2) 1/4)
2.711 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x
2.711 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x
2.711 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x
2.711 * [taylor]: Taking taylor expansion of 1/4 in x
2.711 * [backup-simplify]: Simplify 1/4 into 1/4
2.712 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
2.712 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.712 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.712 * [taylor]: Taking taylor expansion of x in x
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify 1 into 1
2.712 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.712 * [taylor]: Taking taylor expansion of y in x
2.712 * [backup-simplify]: Simplify y into y
2.712 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.712 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.712 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
2.712 * [backup-simplify]: Simplify (* 1/4 (log (pow y 2))) into (* 1/4 (log (pow y 2)))
2.712 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow y 2)))) into (pow (pow y 2) 1/4)
2.712 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/4) in y
2.712 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow y 2)))) in y
2.712 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow y 2))) in y
2.712 * [taylor]: Taking taylor expansion of 1/4 in y
2.712 * [backup-simplify]: Simplify 1/4 into 1/4
2.712 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y
2.712 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.712 * [taylor]: Taking taylor expansion of y in y
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify 1 into 1
2.712 * [backup-simplify]: Simplify (* 1 1) into 1
2.713 * [backup-simplify]: Simplify (log 1) into 0
2.713 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
2.713 * [backup-simplify]: Simplify (* 1/4 (* 2 (log y))) into (* 1/2 (log y))
2.713 * [backup-simplify]: Simplify (exp (* 1/2 (log y))) into (pow y 1/2)
2.713 * [backup-simplify]: Simplify (pow y 1/2) into (pow y 1/2)
2.713 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.714 * [backup-simplify]: Simplify (+ 0 0) into 0
2.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0
2.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow y 2)))) into 0
2.715 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.715 * [taylor]: Taking taylor expansion of 0 in y
2.715 * [backup-simplify]: Simplify 0 into 0
2.715 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.717 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
2.717 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log y)))) into 0
2.717 * [backup-simplify]: Simplify (* (exp (* 1/2 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
2.717 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify (* 1 1) into 1
2.720 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.721 * [backup-simplify]: Simplify (+ 1 0) into 1
2.722 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2))
2.722 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/4 (/ 1 (pow y 2)))
2.723 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow y 3))))
2.723 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y
2.723 * [taylor]: Taking taylor expansion of 1/4 in y
2.723 * [backup-simplify]: Simplify 1/4 into 1/4
2.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y
2.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
2.723 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.723 * [taylor]: Taking taylor expansion of y in y
2.723 * [backup-simplify]: Simplify 0 into 0
2.723 * [backup-simplify]: Simplify 1 into 1
2.724 * [backup-simplify]: Simplify (* 1 1) into 1
2.724 * [backup-simplify]: Simplify (* 1 1) into 1
2.724 * [backup-simplify]: Simplify (/ 1 1) into 1
2.724 * [backup-simplify]: Simplify (sqrt 0) into 0
2.725 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.728 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.729 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
2.730 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.732 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.732 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
2.732 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0
2.733 * [backup-simplify]: Simplify (* (exp (* 1/2 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.734 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.734 * [backup-simplify]: Simplify (+ 0 0) into 0
2.736 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0
2.737 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0
2.739 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.739 * [taylor]: Taking taylor expansion of 0 in y
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.744 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
2.744 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.745 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* y (pow x 2))) (+ (* (- +nan.0) (pow (* 1 x) 2)) (pow y 1/2))) into (- (pow y 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (* (pow x 2) y)))))
2.745 * [backup-simplify]: Simplify (* (sqrt (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) (sqrt (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4)
2.745 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0
2.745 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y
2.745 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
2.745 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
2.745 * [taylor]: Taking taylor expansion of 1/4 in y
2.746 * [backup-simplify]: Simplify 1/4 into 1/4
2.746 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.746 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.746 * [taylor]: Taking taylor expansion of x in y
2.746 * [backup-simplify]: Simplify x into x
2.746 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.746 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.746 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.746 * [taylor]: Taking taylor expansion of y in y
2.746 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify 1 into 1
2.746 * [backup-simplify]: Simplify (* 1 1) into 1
2.746 * [backup-simplify]: Simplify (/ 1 1) into 1
2.747 * [backup-simplify]: Simplify (+ 0 1) into 1
2.747 * [backup-simplify]: Simplify (log 1) into 0
2.747 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
2.747 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
2.747 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
2.747 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x
2.747 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
2.747 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
2.747 * [taylor]: Taking taylor expansion of 1/4 in x
2.747 * [backup-simplify]: Simplify 1/4 into 1/4
2.747 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.747 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.747 * [taylor]: Taking taylor expansion of x in x
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify 1 into 1
2.748 * [backup-simplify]: Simplify (* 1 1) into 1
2.748 * [backup-simplify]: Simplify (/ 1 1) into 1
2.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.748 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.748 * [taylor]: Taking taylor expansion of y in x
2.748 * [backup-simplify]: Simplify y into y
2.748 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.748 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.748 * [backup-simplify]: Simplify (+ 1 0) into 1
2.749 * [backup-simplify]: Simplify (log 1) into 0
2.749 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.749 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
2.749 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.749 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x
2.749 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
2.749 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
2.749 * [taylor]: Taking taylor expansion of 1/4 in x
2.749 * [backup-simplify]: Simplify 1/4 into 1/4
2.749 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.749 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.749 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.749 * [taylor]: Taking taylor expansion of x in x
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify 1 into 1
2.750 * [backup-simplify]: Simplify (* 1 1) into 1
2.750 * [backup-simplify]: Simplify (/ 1 1) into 1
2.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.750 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.750 * [taylor]: Taking taylor expansion of y in x
2.750 * [backup-simplify]: Simplify y into y
2.750 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.750 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.750 * [backup-simplify]: Simplify (+ 1 0) into 1
2.751 * [backup-simplify]: Simplify (log 1) into 0
2.751 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.751 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
2.751 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.751 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
2.751 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
2.751 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
2.751 * [taylor]: Taking taylor expansion of -1/2 in y
2.751 * [backup-simplify]: Simplify -1/2 into -1/2
2.751 * [taylor]: Taking taylor expansion of (log x) in y
2.751 * [taylor]: Taking taylor expansion of x in y
2.751 * [backup-simplify]: Simplify x into x
2.751 * [backup-simplify]: Simplify (log x) into (log x)
2.751 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
2.751 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.751 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
2.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.752 * [backup-simplify]: Simplify (+ 0 0) into 0
2.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.754 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.754 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
2.754 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.754 * [taylor]: Taking taylor expansion of 0 in y
2.754 * [backup-simplify]: Simplify 0 into 0
2.754 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
2.755 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
2.756 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.757 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.758 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
2.759 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.759 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 (pow y 2)))
2.760 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))
2.760 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y
2.760 * [taylor]: Taking taylor expansion of 1/4 in y
2.760 * [backup-simplify]: Simplify 1/4 into 1/4
2.760 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y
2.760 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
2.760 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.760 * [taylor]: Taking taylor expansion of x in y
2.760 * [backup-simplify]: Simplify x into x
2.760 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.760 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
2.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
2.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.760 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.760 * [taylor]: Taking taylor expansion of y in y
2.760 * [backup-simplify]: Simplify 0 into 0
2.760 * [backup-simplify]: Simplify 1 into 1
2.760 * [backup-simplify]: Simplify (* 1 1) into 1
2.761 * [backup-simplify]: Simplify (/ 1 1) into 1
2.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.763 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
2.763 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
2.764 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
2.764 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
2.764 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 x))))) into 0
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 0 into 0
2.766 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
2.766 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
2.767 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.767 * [backup-simplify]: Simplify 0 into 0
2.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.768 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.769 * [backup-simplify]: Simplify (+ 0 0) into 0
2.771 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.771 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.772 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
2.773 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.773 * [taylor]: Taking taylor expansion of 0 in y
2.773 * [backup-simplify]: Simplify 0 into 0
2.773 * [backup-simplify]: Simplify 0 into 0
2.773 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2)
2.774 * [backup-simplify]: Simplify (* (sqrt (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) (sqrt (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4)
2.774 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0
2.774 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y
2.774 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
2.774 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
2.774 * [taylor]: Taking taylor expansion of 1/4 in y
2.774 * [backup-simplify]: Simplify 1/4 into 1/4
2.774 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.774 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.774 * [taylor]: Taking taylor expansion of x in y
2.774 * [backup-simplify]: Simplify x into x
2.774 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.774 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.774 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.774 * [taylor]: Taking taylor expansion of y in y
2.774 * [backup-simplify]: Simplify 0 into 0
2.774 * [backup-simplify]: Simplify 1 into 1
2.774 * [backup-simplify]: Simplify (* 1 1) into 1
2.775 * [backup-simplify]: Simplify (/ 1 1) into 1
2.775 * [backup-simplify]: Simplify (+ 0 1) into 1
2.775 * [backup-simplify]: Simplify (log 1) into 0
2.775 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
2.776 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
2.776 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
2.776 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x
2.776 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
2.776 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
2.776 * [taylor]: Taking taylor expansion of 1/4 in x
2.776 * [backup-simplify]: Simplify 1/4 into 1/4
2.776 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.776 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.776 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.776 * [taylor]: Taking taylor expansion of x in x
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 1 into 1
2.776 * [backup-simplify]: Simplify (* 1 1) into 1
2.776 * [backup-simplify]: Simplify (/ 1 1) into 1
2.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.776 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.776 * [taylor]: Taking taylor expansion of y in x
2.776 * [backup-simplify]: Simplify y into y
2.776 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.776 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.777 * [backup-simplify]: Simplify (+ 1 0) into 1
2.777 * [backup-simplify]: Simplify (log 1) into 0
2.777 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.777 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
2.777 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.777 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x
2.777 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
2.778 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
2.778 * [taylor]: Taking taylor expansion of 1/4 in x
2.778 * [backup-simplify]: Simplify 1/4 into 1/4
2.778 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.778 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.778 * [taylor]: Taking taylor expansion of x in x
2.778 * [backup-simplify]: Simplify 0 into 0
2.778 * [backup-simplify]: Simplify 1 into 1
2.778 * [backup-simplify]: Simplify (* 1 1) into 1
2.778 * [backup-simplify]: Simplify (/ 1 1) into 1
2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.778 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.778 * [taylor]: Taking taylor expansion of y in x
2.778 * [backup-simplify]: Simplify y into y
2.778 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.778 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.779 * [backup-simplify]: Simplify (+ 1 0) into 1
2.779 * [backup-simplify]: Simplify (log 1) into 0
2.779 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.779 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
2.779 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.779 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
2.779 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
2.779 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
2.779 * [taylor]: Taking taylor expansion of -1/2 in y
2.779 * [backup-simplify]: Simplify -1/2 into -1/2
2.779 * [taylor]: Taking taylor expansion of (log x) in y
2.779 * [taylor]: Taking taylor expansion of x in y
2.779 * [backup-simplify]: Simplify x into x
2.780 * [backup-simplify]: Simplify (log x) into (log x)
2.780 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
2.780 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.780 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
2.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.781 * [backup-simplify]: Simplify (+ 0 0) into 0
2.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.782 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
2.783 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.783 * [taylor]: Taking taylor expansion of 0 in y
2.783 * [backup-simplify]: Simplify 0 into 0
2.783 * [backup-simplify]: Simplify 0 into 0
2.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
2.784 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
2.784 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.784 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.785 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
2.787 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.787 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 (pow y 2)))
2.788 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))
2.788 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y
2.788 * [taylor]: Taking taylor expansion of 1/4 in y
2.788 * [backup-simplify]: Simplify 1/4 into 1/4
2.788 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y
2.788 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
2.788 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.788 * [taylor]: Taking taylor expansion of x in y
2.788 * [backup-simplify]: Simplify x into x
2.788 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.789 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
2.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
2.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.789 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.789 * [taylor]: Taking taylor expansion of y in y
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 1 into 1
2.789 * [backup-simplify]: Simplify (* 1 1) into 1
2.789 * [backup-simplify]: Simplify (/ 1 1) into 1
2.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.792 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
2.793 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
2.793 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
2.793 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
2.794 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 x))))) into 0
2.794 * [backup-simplify]: Simplify 0 into 0
2.794 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
2.795 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
2.796 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.796 * [backup-simplify]: Simplify 0 into 0
2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.797 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.798 * [backup-simplify]: Simplify (+ 0 0) into 0
2.800 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.800 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.801 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
2.802 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.802 * [taylor]: Taking taylor expansion of 0 in y
2.802 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/2) into (pow (/ -1 x) -1/2)
2.802 * * * [progress]: simplifying candidates
2.805 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1/2 2) 2) (/ (/ 1/2 2) 2))
  (+ (/ (/ 1/2 2) 2) (/ (/ (/ 1 2) 2) 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (+ (/ (/ (/ 1 2) 2) 2) (/ (/ 1/2 2) 2))
  (+ (/ (/ (/ 1 2) 2) 2) (/ (/ (/ 1 2) 2) 2))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (log (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (log (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (exp (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (* (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (cbrt (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))) (cbrt (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))
  (cbrt (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (* (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (sqrt (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (sqrt (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))))
  (* (sqrt (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))))
  (* (sqrt (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))))
  (* (sqrt (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (sqrt (sqrt (- (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))))
  (* (sqrt (sqrt (sqrt (- (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))))
  (* (sqrt (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))))
  (* (sqrt (sqrt (sqrt (- (* x x) (* y y))))) (sqrt (sqrt (sqrt (- (* x x) (* y y))))))
  (* (* (cbrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))) (* (cbrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))
  (* (cbrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (sqrt (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))))
  (* (sqrt (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (sqrt (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))))
  (* (sqrt (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (sqrt (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))))
  (* (sqrt (sqrt (sqrt (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (cbrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 1))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* 1 1)
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1/2 2) 2))
  (* 2 (/ (/ 1 2) 2))
  (* 2 (/ (/ (/ 1 2) 2) 2))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt 1))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt 1))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 1)
  (* (cbrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))))
  (* (sqrt (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  (- (pow y 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (* (pow x 2) y)))))
  (pow (/ 1 x) -1/2)
  (pow (/ -1 x) -1/2)
3.543 * * * [progress]: adding candidates to table
4.023 * * [progress]: iteration 4 / 4
4.023 * * * [progress]: picking best candidate
4.027 * * * * [pick]: Picked  #<alt (λ (x y) x)>
4.027 * * * [progress]: localizing error
4.028 * * * [progress]: generating rewritten candidates
4.028 * * * [progress]: generating series expansions
4.028 * * * [progress]: simplifying candidates
4.028 * [simplify]: Simplifying:
  
4.044 * * * [progress]: adding candidates to table
4.045 * [progress]: [Phase 3 of 3] Extracting.
4.045 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))> #<alt (λ (x y) x)>)
4.046 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
4.046 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))> #<alt (λ (x y) x)>)
4.088 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))> #<alt (λ (x y) x)>)
4.127 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))> #<alt (λ (x y) x)>)
4.155 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))>)
4.184 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))> #<alt (λ (x y) x)>)
4.219 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))>)
4.241 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))> #<alt (λ (x y) x)>)
4.292 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))>)
4.312 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))> #<alt (λ (x y) x)>)
4.343 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))> #<alt (λ (x y) x)>)
4.391 * * * [regime]: Found split indices: #<option (#s(si 2 36) #s(si 0 106) #s(si 3 144) #s(si 0 211) #s(si 5 255))>
4.392 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))> #<alt (λ (x y) x)>)
4.492 * [regimes]: Found splitpoints: (#s(sp 2 x -1.1991152327731214e+121) #s(sp 0 x -9.538446928549385e-200) #s(sp 3 x 2.4469904649327215e-197) #s(sp 0 x 3.9375726319446014e+124) #s(sp 5 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))> #<alt (λ (x y) (* -1 x))> #<alt (λ (x y) y)> #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))))> #<alt (λ (x y) x)>)
4.492 * [simplify]: Simplifying:
  (if (<= x -1.1991152327731214e+121) (* -1 x) (if (<= x -9.538446928549385e-200) (sqrt (+ (* x x) (* y y))) (if (<= x 2.4469904649327215e-197) y (if (<= x 3.9375726319446014e+124) (sqrt (+ (* x x) (* y y))) x))))
5.682 * [regime-testing]: Baseline error score: 32.04287143900648
5.684 * [regime-testing]: Oracle error score: 7.470876200774945
5.690 * [regime-testing]: End program error score: 18.138669720033032
5.741 * [regime-testing]: Target error score: 17.747519194373805