19.237 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.020 * * * [progress]: [2/2] Setting up program.
0.023 * [progress]: [Phase 2 of 3] Improving.
0.023 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.043 * * [progress]: iteration 1 / 4
0.043 * * * [progress]: picking best candidate
0.047 * * * * [pick]: Picked  #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.047 * * * [progress]: localizing error
0.057 * * * [progress]: generating rewritten candidates
0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.081 * * * [progress]: generating series expansions
0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.081 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.081 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.081 * [taylor]: Taking taylor expansion of re in im
0.081 * [backup-simplify]: Simplify re into re
0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.081 * [taylor]: Taking taylor expansion of im in im
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.081 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.082 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.082 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.082 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.090 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.090 * [taylor]: Taking taylor expansion of re in re
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.090 * [taylor]: Taking taylor expansion of im in re
0.090 * [backup-simplify]: Simplify im into im
0.090 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.090 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.091 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.091 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.091 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.091 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.091 * [taylor]: Taking taylor expansion of re in re
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.092 * [taylor]: Taking taylor expansion of im in re
0.092 * [backup-simplify]: Simplify im into im
0.092 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.092 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.092 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.093 * [taylor]: Taking taylor expansion of im in im
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [taylor]: Taking taylor expansion of 0 in im
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (* 1 1) into 1
0.094 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.094 * [backup-simplify]: Simplify (+ 1 0) into 1
0.095 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.095 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.095 * [taylor]: Taking taylor expansion of 1/2 in im
0.095 * [backup-simplify]: Simplify 1/2 into 1/2
0.095 * [taylor]: Taking taylor expansion of im in im
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 1 into 1
0.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.097 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.098 * [taylor]: Taking taylor expansion of 0 in im
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.099 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.099 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.099 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.099 * [taylor]: Taking taylor expansion of im in im
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (* 1 1) into 1
0.100 * [backup-simplify]: Simplify (/ 1 1) into 1
0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.100 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.100 * [taylor]: Taking taylor expansion of re in im
0.100 * [backup-simplify]: Simplify re into re
0.100 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.100 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.100 * [backup-simplify]: Simplify (+ 1 0) into 1
0.101 * [backup-simplify]: Simplify (sqrt 1) into 1
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.103 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.103 * [taylor]: Taking taylor expansion of im in re
0.103 * [backup-simplify]: Simplify im into im
0.103 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.103 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.103 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.103 * [taylor]: Taking taylor expansion of re in re
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [backup-simplify]: Simplify (* 1 1) into 1
0.104 * [backup-simplify]: Simplify (/ 1 1) into 1
0.104 * [backup-simplify]: Simplify (+ 0 1) into 1
0.104 * [backup-simplify]: Simplify (sqrt 1) into 1
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.106 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.106 * [taylor]: Taking taylor expansion of im in re
0.106 * [backup-simplify]: Simplify im into im
0.106 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.107 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.107 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.107 * [taylor]: Taking taylor expansion of re in re
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (/ 1 1) into 1
0.108 * [backup-simplify]: Simplify (+ 0 1) into 1
0.108 * [backup-simplify]: Simplify (sqrt 1) into 1
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.110 * [taylor]: Taking taylor expansion of 1 in im
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [taylor]: Taking taylor expansion of 0 in im
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.113 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.113 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.113 * [taylor]: Taking taylor expansion of 1/2 in im
0.113 * [backup-simplify]: Simplify 1/2 into 1/2
0.113 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.113 * [taylor]: Taking taylor expansion of im in im
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify (* 1 1) into 1
0.113 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.117 * [taylor]: Taking taylor expansion of 0 in im
0.117 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.119 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.119 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.119 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.119 * [taylor]: Taking taylor expansion of im in im
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify (* 1 1) into 1
0.120 * [backup-simplify]: Simplify (/ 1 1) into 1
0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.120 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.120 * [taylor]: Taking taylor expansion of re in im
0.120 * [backup-simplify]: Simplify re into re
0.120 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.120 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.121 * [backup-simplify]: Simplify (+ 1 0) into 1
0.121 * [backup-simplify]: Simplify (sqrt 1) into 1
0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.123 * [taylor]: Taking taylor expansion of im in re
0.123 * [backup-simplify]: Simplify im into im
0.123 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.124 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.124 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.124 * [taylor]: Taking taylor expansion of re in re
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify (* 1 1) into 1
0.124 * [backup-simplify]: Simplify (/ 1 1) into 1
0.125 * [backup-simplify]: Simplify (+ 0 1) into 1
0.125 * [backup-simplify]: Simplify (sqrt 1) into 1
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.127 * [taylor]: Taking taylor expansion of im in re
0.127 * [backup-simplify]: Simplify im into im
0.127 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.127 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.127 * [taylor]: Taking taylor expansion of re in re
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (* 1 1) into 1
0.128 * [backup-simplify]: Simplify (/ 1 1) into 1
0.128 * [backup-simplify]: Simplify (+ 0 1) into 1
0.129 * [backup-simplify]: Simplify (sqrt 1) into 1
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.131 * [taylor]: Taking taylor expansion of 1 in im
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [taylor]: Taking taylor expansion of 0 in im
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.133 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.133 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.133 * [taylor]: Taking taylor expansion of 1/2 in im
0.133 * [backup-simplify]: Simplify 1/2 into 1/2
0.133 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.133 * [taylor]: Taking taylor expansion of im in im
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (* 1 1) into 1
0.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (+ 0 0) into 0
0.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.137 * [taylor]: Taking taylor expansion of 0 in im
0.137 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.139 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.139 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.139 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.139 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.139 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.139 * [taylor]: Taking taylor expansion of re in im
0.139 * [backup-simplify]: Simplify re into re
0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.139 * [taylor]: Taking taylor expansion of im in im
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.139 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.140 * [taylor]: Taking taylor expansion of re in re
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.140 * [taylor]: Taking taylor expansion of im in re
0.140 * [backup-simplify]: Simplify im into im
0.140 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.140 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.140 * [taylor]: Taking taylor expansion of re in re
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.140 * [taylor]: Taking taylor expansion of im in re
0.140 * [backup-simplify]: Simplify im into im
0.140 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.140 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.140 * [taylor]: Taking taylor expansion of im in im
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [taylor]: Taking taylor expansion of 0 in im
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.142 * [backup-simplify]: Simplify (+ 1 0) into 1
0.142 * [taylor]: Taking taylor expansion of 1 in im
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (* 1 1) into 1
0.142 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.143 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [taylor]: Taking taylor expansion of 0 in im
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
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 (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [taylor]: Taking taylor expansion of 0 in im
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.147 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.147 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.147 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.147 * [taylor]: Taking taylor expansion of im in im
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.148 * [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 re 2)) in im
0.148 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.148 * [taylor]: Taking taylor expansion of re in im
0.148 * [backup-simplify]: Simplify re into re
0.148 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.148 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.148 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.148 * [taylor]: Taking taylor expansion of im in re
0.148 * [backup-simplify]: Simplify im into im
0.148 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.149 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.149 * [taylor]: Taking taylor expansion of re in re
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
0.149 * [backup-simplify]: Simplify (/ 1 1) into 1
0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.149 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.150 * [taylor]: Taking taylor expansion of im in re
0.150 * [backup-simplify]: Simplify im into im
0.150 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.150 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.150 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.150 * [taylor]: Taking taylor expansion of re in re
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (* 1 1) into 1
0.151 * [backup-simplify]: Simplify (/ 1 1) into 1
0.151 * [backup-simplify]: Simplify (+ 0 1) into 1
0.151 * [taylor]: Taking taylor expansion of 1 in im
0.151 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.153 * [taylor]: Taking taylor expansion of 0 in im
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.154 * [taylor]: Taking taylor expansion of im in im
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (* 1 1) into 1
0.155 * [backup-simplify]: Simplify (/ 1 1) into 1
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [taylor]: Taking taylor expansion of 0 in im
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (+ 0 0) into 0
0.162 * [taylor]: Taking taylor expansion of 0 in im
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.164 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.164 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.164 * [taylor]: Taking taylor expansion of im in im
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (* 1 1) into 1
0.165 * [backup-simplify]: Simplify (/ 1 1) into 1
0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.165 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.165 * [taylor]: Taking taylor expansion of re in im
0.165 * [backup-simplify]: Simplify re into re
0.165 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.165 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.165 * [taylor]: Taking taylor expansion of im in re
0.165 * [backup-simplify]: Simplify im into im
0.165 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.165 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.166 * [taylor]: Taking taylor expansion of re in re
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 1 into 1
0.166 * [backup-simplify]: Simplify (* 1 1) into 1
0.166 * [backup-simplify]: Simplify (/ 1 1) into 1
0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.166 * [taylor]: Taking taylor expansion of im in re
0.166 * [backup-simplify]: Simplify im into im
0.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.167 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.167 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.167 * [taylor]: Taking taylor expansion of re in re
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (* 1 1) into 1
0.167 * [backup-simplify]: Simplify (/ 1 1) into 1
0.168 * [backup-simplify]: Simplify (+ 0 1) into 1
0.168 * [taylor]: Taking taylor expansion of 1 in im
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.169 * [backup-simplify]: Simplify (+ 0 0) into 0
0.169 * [taylor]: Taking taylor expansion of 0 in im
0.169 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.171 * [taylor]: Taking taylor expansion of im in im
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (* 1 1) into 1
0.172 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.175 * [taylor]: Taking taylor expansion of 0 in im
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (+ 0 0) into 0
0.179 * [taylor]: Taking taylor expansion of 0 in im
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.181 * * * [progress]: simplifying candidates
0.182 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
1.010 * * * [progress]: adding candidates to table
1.101 * * [progress]: iteration 2 / 4
1.101 * * * [progress]: picking best candidate
1.106 * * * * [pick]: Picked  #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>
1.106 * * * [progress]: localizing error
1.122 * * * [progress]: generating rewritten candidates
1.122 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1.135 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
1.149 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.249 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
1.274 * * * [progress]: generating series expansions
1.275 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
1.275 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.275 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.275 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.275 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.275 * [taylor]: Taking taylor expansion of re in im
1.275 * [backup-simplify]: Simplify re into re
1.275 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.275 * [taylor]: Taking taylor expansion of im in im
1.275 * [backup-simplify]: Simplify 0 into 0
1.275 * [backup-simplify]: Simplify 1 into 1
1.275 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.275 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.275 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.276 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.276 * [backup-simplify]: Simplify (+ 0 0) into 0
1.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.276 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.276 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.277 * [taylor]: Taking taylor expansion of re in re
1.277 * [backup-simplify]: Simplify 0 into 0
1.277 * [backup-simplify]: Simplify 1 into 1
1.277 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.277 * [taylor]: Taking taylor expansion of im in re
1.277 * [backup-simplify]: Simplify im into im
1.277 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.277 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.277 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.277 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.277 * [backup-simplify]: Simplify (+ 0 0) into 0
1.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.278 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.278 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.278 * [taylor]: Taking taylor expansion of re in re
1.278 * [backup-simplify]: Simplify 0 into 0
1.278 * [backup-simplify]: Simplify 1 into 1
1.278 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.278 * [taylor]: Taking taylor expansion of im in re
1.278 * [backup-simplify]: Simplify im into im
1.278 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.278 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.278 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.279 * [backup-simplify]: Simplify (+ 0 0) into 0
1.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.279 * [taylor]: Taking taylor expansion of im in im
1.279 * [backup-simplify]: Simplify 0 into 0
1.279 * [backup-simplify]: Simplify 1 into 1
1.279 * [backup-simplify]: Simplify 0 into 0
1.279 * [taylor]: Taking taylor expansion of 0 in im
1.279 * [backup-simplify]: Simplify 0 into 0
1.279 * [backup-simplify]: Simplify 0 into 0
1.279 * [backup-simplify]: Simplify 1 into 1
1.279 * [backup-simplify]: Simplify (* 1 1) into 1
1.280 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.280 * [backup-simplify]: Simplify (+ 1 0) into 1
1.281 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.281 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.281 * [taylor]: Taking taylor expansion of 1/2 in im
1.281 * [backup-simplify]: Simplify 1/2 into 1/2
1.281 * [taylor]: Taking taylor expansion of im in im
1.281 * [backup-simplify]: Simplify 0 into 0
1.281 * [backup-simplify]: Simplify 1 into 1
1.282 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
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 1)) into 0
1.284 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.284 * [backup-simplify]: Simplify (+ 0 0) into 0
1.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.284 * [taylor]: Taking taylor expansion of 0 in im
1.284 * [backup-simplify]: Simplify 0 into 0
1.284 * [backup-simplify]: Simplify 0 into 0
1.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.285 * [backup-simplify]: Simplify 0 into 0
1.285 * [backup-simplify]: Simplify 0 into 0
1.285 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.286 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.286 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.286 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.286 * [taylor]: Taking taylor expansion of im in im
1.286 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify 1 into 1
1.286 * [backup-simplify]: Simplify (* 1 1) into 1
1.287 * [backup-simplify]: Simplify (/ 1 1) into 1
1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.287 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.287 * [taylor]: Taking taylor expansion of re in im
1.287 * [backup-simplify]: Simplify re into re
1.287 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.287 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.288 * [backup-simplify]: Simplify (+ 1 0) into 1
1.288 * [backup-simplify]: Simplify (sqrt 1) into 1
1.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.290 * [backup-simplify]: Simplify (+ 0 0) into 0
1.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.290 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.290 * [taylor]: Taking taylor expansion of im in re
1.290 * [backup-simplify]: Simplify im into im
1.290 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.291 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.291 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.291 * [taylor]: Taking taylor expansion of re in re
1.291 * [backup-simplify]: Simplify 0 into 0
1.291 * [backup-simplify]: Simplify 1 into 1
1.291 * [backup-simplify]: Simplify (* 1 1) into 1
1.291 * [backup-simplify]: Simplify (/ 1 1) into 1
1.292 * [backup-simplify]: Simplify (+ 0 1) into 1
1.292 * [backup-simplify]: Simplify (sqrt 1) into 1
1.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.294 * [backup-simplify]: Simplify (+ 0 0) into 0
1.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.294 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.294 * [taylor]: Taking taylor expansion of im in re
1.294 * [backup-simplify]: Simplify im into im
1.294 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.295 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.295 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.295 * [taylor]: Taking taylor expansion of re in re
1.295 * [backup-simplify]: Simplify 0 into 0
1.295 * [backup-simplify]: Simplify 1 into 1
1.295 * [backup-simplify]: Simplify (* 1 1) into 1
1.295 * [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
1.298 * [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 1 in im
1.298 * [backup-simplify]: Simplify 1 into 1
1.298 * [taylor]: Taking taylor expansion of 0 in im
1.298 * [backup-simplify]: Simplify 0 into 0
1.298 * [backup-simplify]: Simplify 1 into 1
1.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.300 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.301 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.301 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.301 * [taylor]: Taking taylor expansion of 1/2 in im
1.301 * [backup-simplify]: Simplify 1/2 into 1/2
1.302 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.302 * [taylor]: Taking taylor expansion of im in im
1.302 * [backup-simplify]: Simplify 0 into 0
1.302 * [backup-simplify]: Simplify 1 into 1
1.302 * [backup-simplify]: Simplify (* 1 1) into 1
1.302 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.304 * [backup-simplify]: Simplify 0 into 0
1.304 * [backup-simplify]: Simplify 0 into 0
1.304 * [backup-simplify]: Simplify 0 into 0
1.304 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.306 * [backup-simplify]: Simplify (+ 0 0) into 0
1.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.311 * [taylor]: Taking taylor expansion of 0 in im
1.311 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.313 * [backup-simplify]: Simplify 0 into 0
1.313 * [backup-simplify]: Simplify 0 into 0
1.313 * [backup-simplify]: Simplify 0 into 0
1.313 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.314 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.314 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.314 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.314 * [taylor]: Taking taylor expansion of im in im
1.314 * [backup-simplify]: Simplify 0 into 0
1.314 * [backup-simplify]: Simplify 1 into 1
1.314 * [backup-simplify]: Simplify (* 1 1) into 1
1.315 * [backup-simplify]: Simplify (/ 1 1) into 1
1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.315 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.315 * [taylor]: Taking taylor expansion of re in im
1.315 * [backup-simplify]: Simplify re into re
1.315 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.315 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.315 * [backup-simplify]: Simplify (+ 1 0) into 1
1.316 * [backup-simplify]: Simplify (sqrt 1) into 1
1.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.317 * [backup-simplify]: Simplify (+ 0 0) into 0
1.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.318 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.318 * [taylor]: Taking taylor expansion of im in re
1.318 * [backup-simplify]: Simplify im into im
1.318 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.318 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.319 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.319 * [taylor]: Taking taylor expansion of re in re
1.319 * [backup-simplify]: Simplify 0 into 0
1.319 * [backup-simplify]: Simplify 1 into 1
1.319 * [backup-simplify]: Simplify (* 1 1) into 1
1.319 * [backup-simplify]: Simplify (/ 1 1) into 1
1.320 * [backup-simplify]: Simplify (+ 0 1) into 1
1.320 * [backup-simplify]: Simplify (sqrt 1) into 1
1.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.322 * [backup-simplify]: Simplify (+ 0 0) into 0
1.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.322 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.322 * [taylor]: Taking taylor expansion of im in re
1.322 * [backup-simplify]: Simplify im into im
1.322 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.323 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.323 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.323 * [taylor]: Taking taylor expansion of re in re
1.323 * [backup-simplify]: Simplify 0 into 0
1.323 * [backup-simplify]: Simplify 1 into 1
1.323 * [backup-simplify]: Simplify (* 1 1) into 1
1.323 * [backup-simplify]: Simplify (/ 1 1) into 1
1.324 * [backup-simplify]: Simplify (+ 0 1) into 1
1.324 * [backup-simplify]: Simplify (sqrt 1) into 1
1.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.326 * [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 im
1.327 * [backup-simplify]: Simplify 1 into 1
1.327 * [taylor]: Taking taylor expansion of 0 in im
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
1.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.329 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.330 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.330 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.330 * [taylor]: Taking taylor expansion of 1/2 in im
1.330 * [backup-simplify]: Simplify 1/2 into 1/2
1.330 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.330 * [taylor]: Taking taylor expansion of im in im
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
1.332 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.335 * [backup-simplify]: Simplify (+ 0 0) into 0
1.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.336 * [taylor]: Taking taylor expansion of 0 in im
1.336 * [backup-simplify]: Simplify 0 into 0
1.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.338 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
1.338 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.338 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.338 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.338 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.338 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.338 * [taylor]: Taking taylor expansion of re in im
1.338 * [backup-simplify]: Simplify re into re
1.339 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.339 * [taylor]: Taking taylor expansion of im in im
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 1 into 1
1.339 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.339 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.339 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.339 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.339 * [backup-simplify]: Simplify (+ 0 0) into 0
1.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.340 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.340 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.340 * [taylor]: Taking taylor expansion of re in re
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [backup-simplify]: Simplify 1 into 1
1.340 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.340 * [taylor]: Taking taylor expansion of im in re
1.340 * [backup-simplify]: Simplify im into im
1.340 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.340 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.340 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.340 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.341 * [backup-simplify]: Simplify (+ 0 0) into 0
1.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.341 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.341 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.341 * [taylor]: Taking taylor expansion of re in re
1.341 * [backup-simplify]: Simplify 0 into 0
1.341 * [backup-simplify]: Simplify 1 into 1
1.341 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.341 * [taylor]: Taking taylor expansion of im in re
1.341 * [backup-simplify]: Simplify im into im
1.341 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.341 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.341 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.341 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.342 * [backup-simplify]: Simplify (+ 0 0) into 0
1.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.342 * [taylor]: Taking taylor expansion of im in im
1.342 * [backup-simplify]: Simplify 0 into 0
1.342 * [backup-simplify]: Simplify 1 into 1
1.342 * [backup-simplify]: Simplify 0 into 0
1.342 * [taylor]: Taking taylor expansion of 0 in im
1.342 * [backup-simplify]: Simplify 0 into 0
1.342 * [backup-simplify]: Simplify 0 into 0
1.342 * [backup-simplify]: Simplify 1 into 1
1.343 * [backup-simplify]: Simplify (* 1 1) into 1
1.343 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.344 * [backup-simplify]: Simplify (+ 1 0) into 1
1.344 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.344 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.344 * [taylor]: Taking taylor expansion of 1/2 in im
1.344 * [backup-simplify]: Simplify 1/2 into 1/2
1.344 * [taylor]: Taking taylor expansion of im in im
1.344 * [backup-simplify]: Simplify 0 into 0
1.345 * [backup-simplify]: Simplify 1 into 1
1.345 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.346 * [backup-simplify]: Simplify 0 into 0
1.346 * [backup-simplify]: Simplify 0 into 0
1.346 * [backup-simplify]: Simplify 0 into 0
1.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.347 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.348 * [backup-simplify]: Simplify (+ 0 0) into 0
1.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.348 * [taylor]: Taking taylor expansion of 0 in im
1.348 * [backup-simplify]: Simplify 0 into 0
1.348 * [backup-simplify]: Simplify 0 into 0
1.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.349 * [backup-simplify]: Simplify 0 into 0
1.349 * [backup-simplify]: Simplify 0 into 0
1.349 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.349 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.349 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.350 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.350 * [taylor]: Taking taylor expansion of im in im
1.350 * [backup-simplify]: Simplify 0 into 0
1.350 * [backup-simplify]: Simplify 1 into 1
1.350 * [backup-simplify]: Simplify (* 1 1) into 1
1.350 * [backup-simplify]: Simplify (/ 1 1) into 1
1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.350 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.350 * [taylor]: Taking taylor expansion of re in im
1.351 * [backup-simplify]: Simplify re into re
1.351 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.351 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.351 * [backup-simplify]: Simplify (+ 1 0) into 1
1.352 * [backup-simplify]: Simplify (sqrt 1) into 1
1.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.353 * [backup-simplify]: Simplify (+ 0 0) into 0
1.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.354 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.354 * [taylor]: Taking taylor expansion of im in re
1.354 * [backup-simplify]: Simplify im into im
1.354 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.354 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.354 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.354 * [taylor]: Taking taylor expansion of re in re
1.354 * [backup-simplify]: Simplify 0 into 0
1.354 * [backup-simplify]: Simplify 1 into 1
1.355 * [backup-simplify]: Simplify (* 1 1) into 1
1.355 * [backup-simplify]: Simplify (/ 1 1) into 1
1.356 * [backup-simplify]: Simplify (+ 0 1) into 1
1.356 * [backup-simplify]: Simplify (sqrt 1) into 1
1.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.358 * [backup-simplify]: Simplify (+ 0 0) into 0
1.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.358 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.358 * [taylor]: Taking taylor expansion of im in re
1.358 * [backup-simplify]: Simplify im into im
1.358 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.358 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.358 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.358 * [taylor]: Taking taylor expansion of re in re
1.359 * [backup-simplify]: Simplify 0 into 0
1.359 * [backup-simplify]: Simplify 1 into 1
1.359 * [backup-simplify]: Simplify (* 1 1) into 1
1.359 * [backup-simplify]: Simplify (/ 1 1) into 1
1.359 * [backup-simplify]: Simplify (+ 0 1) into 1
1.359 * [backup-simplify]: Simplify (sqrt 1) into 1
1.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.360 * [backup-simplify]: Simplify (+ 0 0) into 0
1.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.361 * [taylor]: Taking taylor expansion of 1 in im
1.361 * [backup-simplify]: Simplify 1 into 1
1.361 * [taylor]: Taking taylor expansion of 0 in im
1.361 * [backup-simplify]: Simplify 0 into 0
1.361 * [backup-simplify]: Simplify 1 into 1
1.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.362 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.363 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.363 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.363 * [taylor]: Taking taylor expansion of 1/2 in im
1.363 * [backup-simplify]: Simplify 1/2 into 1/2
1.363 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.363 * [taylor]: Taking taylor expansion of im in im
1.363 * [backup-simplify]: Simplify 0 into 0
1.363 * [backup-simplify]: Simplify 1 into 1
1.363 * [backup-simplify]: Simplify (* 1 1) into 1
1.364 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.364 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.366 * [backup-simplify]: Simplify (+ 0 0) into 0
1.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.366 * [taylor]: Taking taylor expansion of 0 in im
1.366 * [backup-simplify]: Simplify 0 into 0
1.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.368 * [backup-simplify]: Simplify 0 into 0
1.368 * [backup-simplify]: Simplify 0 into 0
1.368 * [backup-simplify]: Simplify 0 into 0
1.368 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.368 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.368 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.368 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.368 * [taylor]: Taking taylor expansion of im in im
1.368 * [backup-simplify]: Simplify 0 into 0
1.368 * [backup-simplify]: Simplify 1 into 1
1.368 * [backup-simplify]: Simplify (* 1 1) into 1
1.369 * [backup-simplify]: Simplify (/ 1 1) into 1
1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.369 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.369 * [taylor]: Taking taylor expansion of re in im
1.369 * [backup-simplify]: Simplify re into re
1.369 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.369 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.369 * [backup-simplify]: Simplify (+ 1 0) into 1
1.369 * [backup-simplify]: Simplify (sqrt 1) into 1
1.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.370 * [backup-simplify]: Simplify (+ 0 0) into 0
1.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.371 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.371 * [taylor]: Taking taylor expansion of im in re
1.371 * [backup-simplify]: Simplify im into im
1.371 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.371 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.371 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.371 * [taylor]: Taking taylor expansion of re in re
1.371 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify 1 into 1
1.371 * [backup-simplify]: Simplify (* 1 1) into 1
1.371 * [backup-simplify]: Simplify (/ 1 1) into 1
1.372 * [backup-simplify]: Simplify (+ 0 1) into 1
1.372 * [backup-simplify]: Simplify (sqrt 1) into 1
1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.373 * [backup-simplify]: Simplify (+ 0 0) into 0
1.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.373 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.373 * [taylor]: Taking taylor expansion of im in re
1.373 * [backup-simplify]: Simplify im into im
1.373 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.374 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.374 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.374 * [taylor]: Taking taylor expansion of re in re
1.374 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify 1 into 1
1.374 * [backup-simplify]: Simplify (* 1 1) into 1
1.374 * [backup-simplify]: Simplify (/ 1 1) into 1
1.374 * [backup-simplify]: Simplify (+ 0 1) into 1
1.375 * [backup-simplify]: Simplify (sqrt 1) into 1
1.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.376 * [backup-simplify]: Simplify (+ 0 0) into 0
1.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.376 * [taylor]: Taking taylor expansion of 1 in im
1.376 * [backup-simplify]: Simplify 1 into 1
1.376 * [taylor]: Taking taylor expansion of 0 in im
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 1 into 1
1.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.377 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.378 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.378 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.378 * [taylor]: Taking taylor expansion of 1/2 in im
1.378 * [backup-simplify]: Simplify 1/2 into 1/2
1.378 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.378 * [taylor]: Taking taylor expansion of im in im
1.378 * [backup-simplify]: Simplify 0 into 0
1.378 * [backup-simplify]: Simplify 1 into 1
1.379 * [backup-simplify]: Simplify (* 1 1) into 1
1.379 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.380 * [backup-simplify]: Simplify 0 into 0
1.380 * [backup-simplify]: Simplify 0 into 0
1.380 * [backup-simplify]: Simplify 0 into 0
1.380 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.381 * [backup-simplify]: Simplify (+ 0 0) into 0
1.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.382 * [taylor]: Taking taylor expansion of 0 in im
1.382 * [backup-simplify]: Simplify 0 into 0
1.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.383 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.383 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
1.383 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.383 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.383 * [taylor]: Taking taylor expansion of re in im
1.384 * [backup-simplify]: Simplify re into re
1.384 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.384 * [taylor]: Taking taylor expansion of im in im
1.384 * [backup-simplify]: Simplify 0 into 0
1.384 * [backup-simplify]: Simplify 1 into 1
1.384 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.384 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.384 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.384 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.384 * [backup-simplify]: Simplify (+ 0 0) into 0
1.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.384 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.384 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.384 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.384 * [taylor]: Taking taylor expansion of re in re
1.384 * [backup-simplify]: Simplify 0 into 0
1.384 * [backup-simplify]: Simplify 1 into 1
1.384 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.384 * [taylor]: Taking taylor expansion of im in re
1.384 * [backup-simplify]: Simplify im into im
1.384 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.384 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.385 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.385 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.385 * [backup-simplify]: Simplify (+ 0 0) into 0
1.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.385 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.385 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.385 * [taylor]: Taking taylor expansion of re in re
1.385 * [backup-simplify]: Simplify 0 into 0
1.385 * [backup-simplify]: Simplify 1 into 1
1.385 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.385 * [taylor]: Taking taylor expansion of im in re
1.385 * [backup-simplify]: Simplify im into im
1.385 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.385 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.385 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.385 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.386 * [backup-simplify]: Simplify (+ 0 0) into 0
1.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.386 * [taylor]: Taking taylor expansion of im in im
1.386 * [backup-simplify]: Simplify 0 into 0
1.386 * [backup-simplify]: Simplify 1 into 1
1.386 * [backup-simplify]: Simplify 0 into 0
1.386 * [taylor]: Taking taylor expansion of 0 in im
1.386 * [backup-simplify]: Simplify 0 into 0
1.386 * [backup-simplify]: Simplify 0 into 0
1.386 * [backup-simplify]: Simplify 1 into 1
1.386 * [backup-simplify]: Simplify (* 1 1) into 1
1.386 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.387 * [backup-simplify]: Simplify (+ 1 0) into 1
1.387 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.387 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.387 * [taylor]: Taking taylor expansion of 1/2 in im
1.387 * [backup-simplify]: Simplify 1/2 into 1/2
1.387 * [taylor]: Taking taylor expansion of im in im
1.387 * [backup-simplify]: Simplify 0 into 0
1.387 * [backup-simplify]: Simplify 1 into 1
1.387 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.389 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.389 * [backup-simplify]: Simplify (+ 0 0) into 0
1.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.389 * [taylor]: Taking taylor expansion of 0 in im
1.389 * [backup-simplify]: Simplify 0 into 0
1.389 * [backup-simplify]: Simplify 0 into 0
1.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.390 * [backup-simplify]: Simplify 0 into 0
1.390 * [backup-simplify]: Simplify 0 into 0
1.390 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.390 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.391 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.391 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.391 * [taylor]: Taking taylor expansion of im in im
1.391 * [backup-simplify]: Simplify 0 into 0
1.391 * [backup-simplify]: Simplify 1 into 1
1.391 * [backup-simplify]: Simplify (* 1 1) into 1
1.391 * [backup-simplify]: Simplify (/ 1 1) into 1
1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.391 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.391 * [taylor]: Taking taylor expansion of re in im
1.391 * [backup-simplify]: Simplify re into re
1.392 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.392 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.392 * [backup-simplify]: Simplify (+ 1 0) into 1
1.392 * [backup-simplify]: Simplify (sqrt 1) into 1
1.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.394 * [backup-simplify]: Simplify (+ 0 0) into 0
1.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.395 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.395 * [taylor]: Taking taylor expansion of im in re
1.395 * [backup-simplify]: Simplify im into im
1.395 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.395 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.395 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.395 * [taylor]: Taking taylor expansion of re in re
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify 1 into 1
1.395 * [backup-simplify]: Simplify (* 1 1) into 1
1.396 * [backup-simplify]: Simplify (/ 1 1) into 1
1.396 * [backup-simplify]: Simplify (+ 0 1) into 1
1.396 * [backup-simplify]: Simplify (sqrt 1) into 1
1.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.398 * [backup-simplify]: Simplify (+ 0 0) into 0
1.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.399 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.399 * [taylor]: Taking taylor expansion of im in re
1.399 * [backup-simplify]: Simplify im into im
1.399 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.399 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.399 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.399 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.399 * [taylor]: Taking taylor expansion of re in re
1.399 * [backup-simplify]: Simplify 0 into 0
1.399 * [backup-simplify]: Simplify 1 into 1
1.400 * [backup-simplify]: Simplify (* 1 1) into 1
1.400 * [backup-simplify]: Simplify (/ 1 1) into 1
1.400 * [backup-simplify]: Simplify (+ 0 1) into 1
1.401 * [backup-simplify]: Simplify (sqrt 1) into 1
1.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.402 * [backup-simplify]: Simplify (+ 0 0) into 0
1.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.403 * [taylor]: Taking taylor expansion of 1 in im
1.403 * [backup-simplify]: Simplify 1 into 1
1.403 * [taylor]: Taking taylor expansion of 0 in im
1.403 * [backup-simplify]: Simplify 0 into 0
1.403 * [backup-simplify]: Simplify 1 into 1
1.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.404 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.406 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.406 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.406 * [taylor]: Taking taylor expansion of 1/2 in im
1.406 * [backup-simplify]: Simplify 1/2 into 1/2
1.406 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.406 * [taylor]: Taking taylor expansion of im in im
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [backup-simplify]: Simplify 1 into 1
1.406 * [backup-simplify]: Simplify (* 1 1) into 1
1.407 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.408 * [backup-simplify]: Simplify 0 into 0
1.408 * [backup-simplify]: Simplify 0 into 0
1.408 * [backup-simplify]: Simplify 0 into 0
1.408 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.411 * [backup-simplify]: Simplify (+ 0 0) into 0
1.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.411 * [taylor]: Taking taylor expansion of 0 in im
1.411 * [backup-simplify]: Simplify 0 into 0
1.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.413 * [backup-simplify]: Simplify 0 into 0
1.413 * [backup-simplify]: Simplify 0 into 0
1.413 * [backup-simplify]: Simplify 0 into 0
1.413 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.414 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.414 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.414 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.414 * [taylor]: Taking taylor expansion of im in im
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 1 into 1
1.415 * [backup-simplify]: Simplify (* 1 1) into 1
1.415 * [backup-simplify]: Simplify (/ 1 1) into 1
1.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.415 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.415 * [taylor]: Taking taylor expansion of re in im
1.415 * [backup-simplify]: Simplify re into re
1.415 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.415 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.416 * [backup-simplify]: Simplify (+ 1 0) into 1
1.416 * [backup-simplify]: Simplify (sqrt 1) into 1
1.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.418 * [backup-simplify]: Simplify (+ 0 0) into 0
1.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.418 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.418 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.418 * [taylor]: Taking taylor expansion of im in re
1.418 * [backup-simplify]: Simplify im into im
1.418 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.419 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.419 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.419 * [taylor]: Taking taylor expansion of re in re
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
1.421 * [backup-simplify]: Simplify (sqrt 1) into 1
1.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.423 * [backup-simplify]: Simplify (+ 0 0) into 0
1.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.423 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.423 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.423 * [taylor]: Taking taylor expansion of im in re
1.423 * [backup-simplify]: Simplify im into im
1.424 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.424 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.424 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.424 * [taylor]: Taking taylor expansion of re in re
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
1.425 * [backup-simplify]: Simplify (/ 1 1) into 1
1.425 * [backup-simplify]: Simplify (+ 0 1) into 1
1.425 * [backup-simplify]: Simplify (sqrt 1) into 1
1.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.427 * [backup-simplify]: Simplify (+ 0 0) into 0
1.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.428 * [taylor]: Taking taylor expansion of 1 in im
1.428 * [backup-simplify]: Simplify 1 into 1
1.428 * [taylor]: Taking taylor expansion of 0 in im
1.428 * [backup-simplify]: Simplify 0 into 0
1.428 * [backup-simplify]: Simplify 1 into 1
1.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.430 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.431 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.431 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.431 * [taylor]: Taking taylor expansion of 1/2 in im
1.431 * [backup-simplify]: Simplify 1/2 into 1/2
1.431 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.431 * [taylor]: Taking taylor expansion of im in im
1.431 * [backup-simplify]: Simplify 0 into 0
1.431 * [backup-simplify]: Simplify 1 into 1
1.431 * [backup-simplify]: Simplify (* 1 1) into 1
1.435 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.437 * [backup-simplify]: Simplify 0 into 0
1.437 * [backup-simplify]: Simplify 0 into 0
1.437 * [backup-simplify]: Simplify 0 into 0
1.437 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.440 * [backup-simplify]: Simplify (+ 0 0) into 0
1.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.441 * [taylor]: Taking taylor expansion of 0 in im
1.441 * [backup-simplify]: Simplify 0 into 0
1.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.442 * [backup-simplify]: Simplify 0 into 0
1.442 * [backup-simplify]: Simplify 0 into 0
1.442 * [backup-simplify]: Simplify 0 into 0
1.443 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.443 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
1.443 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* re re) (* im im)))) into (pow (+ (pow re 2) (pow im 2)) 1/4)
1.443 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in (re im) around 0
1.443 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im
1.443 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im
1.443 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im
1.443 * [taylor]: Taking taylor expansion of 1/4 in im
1.443 * [backup-simplify]: Simplify 1/4 into 1/4
1.443 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
1.443 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.443 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.443 * [taylor]: Taking taylor expansion of re in im
1.443 * [backup-simplify]: Simplify re into re
1.443 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.443 * [taylor]: Taking taylor expansion of im in im
1.443 * [backup-simplify]: Simplify 0 into 0
1.443 * [backup-simplify]: Simplify 1 into 1
1.443 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.444 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.444 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
1.444 * [backup-simplify]: Simplify (* 1/4 (log (pow re 2))) into (* 1/4 (log (pow re 2)))
1.444 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow re 2)))) into (pow (pow re 2) 1/4)
1.444 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re
1.444 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re
1.444 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re
1.444 * [taylor]: Taking taylor expansion of 1/4 in re
1.444 * [backup-simplify]: Simplify 1/4 into 1/4
1.444 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
1.444 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.444 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.444 * [taylor]: Taking taylor expansion of re in re
1.444 * [backup-simplify]: Simplify 0 into 0
1.444 * [backup-simplify]: Simplify 1 into 1
1.444 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.444 * [taylor]: Taking taylor expansion of im in re
1.445 * [backup-simplify]: Simplify im into im
1.445 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.445 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.445 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
1.445 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2)))
1.445 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4)
1.445 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re
1.445 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re
1.445 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re
1.445 * [taylor]: Taking taylor expansion of 1/4 in re
1.445 * [backup-simplify]: Simplify 1/4 into 1/4
1.445 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
1.445 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.445 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.445 * [taylor]: Taking taylor expansion of re in re
1.445 * [backup-simplify]: Simplify 0 into 0
1.445 * [backup-simplify]: Simplify 1 into 1
1.446 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.446 * [taylor]: Taking taylor expansion of im in re
1.446 * [backup-simplify]: Simplify im into im
1.446 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.446 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.446 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
1.446 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2)))
1.446 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4)
1.446 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/4) in im
1.446 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 2)))) in im
1.446 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 2))) in im
1.446 * [taylor]: Taking taylor expansion of 1/4 in im
1.446 * [backup-simplify]: Simplify 1/4 into 1/4
1.446 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
1.446 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.446 * [taylor]: Taking taylor expansion of im in im
1.446 * [backup-simplify]: Simplify 0 into 0
1.447 * [backup-simplify]: Simplify 1 into 1
1.447 * [backup-simplify]: Simplify (* 1 1) into 1
1.448 * [backup-simplify]: Simplify (log 1) into 0
1.448 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
1.448 * [backup-simplify]: Simplify (* 1/4 (* 2 (log im))) into (* 1/2 (log im))
1.449 * [backup-simplify]: Simplify (exp (* 1/2 (log im))) into (pow im 1/2)
1.449 * [backup-simplify]: Simplify (pow im 1/2) into (pow im 1/2)
1.449 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.449 * [backup-simplify]: Simplify (+ 0 0) into 0
1.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
1.451 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow im 2)))) into 0
1.451 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.452 * [taylor]: Taking taylor expansion of 0 in im
1.452 * [backup-simplify]: Simplify 0 into 0
1.452 * [backup-simplify]: Simplify 0 into 0
1.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.454 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.454 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
1.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log im)))) into 0
1.455 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
1.455 * [backup-simplify]: Simplify 0 into 0
1.456 * [backup-simplify]: Simplify (* 1 1) into 1
1.456 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.457 * [backup-simplify]: Simplify (+ 1 0) into 1
1.458 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
1.459 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/4 (/ 1 (pow im 2)))
1.460 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
1.460 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
1.460 * [taylor]: Taking taylor expansion of 1/4 in im
1.460 * [backup-simplify]: Simplify 1/4 into 1/4
1.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
1.460 * [taylor]: Taking taylor expansion of (pow im 3) in im
1.460 * [taylor]: Taking taylor expansion of im in im
1.460 * [backup-simplify]: Simplify 0 into 0
1.460 * [backup-simplify]: Simplify 1 into 1
1.461 * [backup-simplify]: Simplify (* 1 1) into 1
1.461 * [backup-simplify]: Simplify (* 1 1) into 1
1.461 * [backup-simplify]: Simplify (/ 1 1) into 1
1.462 * [backup-simplify]: Simplify (sqrt 0) into 0
1.463 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.468 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.470 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
1.470 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1.470 * [backup-simplify]: Simplify 0 into 0
1.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.474 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
1.474 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
1.475 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
1.476 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.476 * [backup-simplify]: Simplify 0 into 0
1.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.478 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.478 * [backup-simplify]: Simplify (+ 0 0) into 0
1.481 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
1.482 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
1.484 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.484 * [taylor]: Taking taylor expansion of 0 in im
1.484 * [backup-simplify]: Simplify 0 into 0
1.484 * [backup-simplify]: Simplify 0 into 0
1.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.492 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
1.492 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1.494 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* im (pow re 2))) (+ (* (- +nan.0) (pow (* 1 re) 2)) (pow im 1/2))) into (- (pow im 1/2) (+ (* +nan.0 (* (pow re 2) im)) (- (* +nan.0 (pow re 2)))))
1.494 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)
1.494 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in (re im) around 0
1.494 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im
1.494 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
1.494 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
1.494 * [taylor]: Taking taylor expansion of 1/4 in im
1.494 * [backup-simplify]: Simplify 1/4 into 1/4
1.494 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.494 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.494 * [taylor]: Taking taylor expansion of im in im
1.495 * [backup-simplify]: Simplify 0 into 0
1.495 * [backup-simplify]: Simplify 1 into 1
1.495 * [backup-simplify]: Simplify (* 1 1) into 1
1.495 * [backup-simplify]: Simplify (/ 1 1) into 1
1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.495 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.495 * [taylor]: Taking taylor expansion of re in im
1.495 * [backup-simplify]: Simplify re into re
1.495 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.496 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.496 * [backup-simplify]: Simplify (+ 1 0) into 1
1.496 * [backup-simplify]: Simplify (log 1) into 0
1.497 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
1.497 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im))
1.497 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2)
1.497 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re
1.497 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
1.497 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.497 * [taylor]: Taking taylor expansion of 1/4 in re
1.497 * [backup-simplify]: Simplify 1/4 into 1/4
1.497 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.497 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.497 * [taylor]: Taking taylor expansion of im in re
1.497 * [backup-simplify]: Simplify im into im
1.497 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.498 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.498 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.498 * [taylor]: Taking taylor expansion of re in re
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [backup-simplify]: Simplify 1 into 1
1.498 * [backup-simplify]: Simplify (* 1 1) into 1
1.499 * [backup-simplify]: Simplify (/ 1 1) into 1
1.499 * [backup-simplify]: Simplify (+ 0 1) into 1
1.499 * [backup-simplify]: Simplify (log 1) into 0
1.500 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.500 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re))
1.500 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
1.500 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re
1.500 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
1.500 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.500 * [taylor]: Taking taylor expansion of 1/4 in re
1.500 * [backup-simplify]: Simplify 1/4 into 1/4
1.500 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.500 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.500 * [taylor]: Taking taylor expansion of im in re
1.500 * [backup-simplify]: Simplify im into im
1.500 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.501 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.501 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.501 * [taylor]: Taking taylor expansion of re in re
1.501 * [backup-simplify]: Simplify 0 into 0
1.501 * [backup-simplify]: Simplify 1 into 1
1.501 * [backup-simplify]: Simplify (* 1 1) into 1
1.501 * [backup-simplify]: Simplify (/ 1 1) into 1
1.502 * [backup-simplify]: Simplify (+ 0 1) into 1
1.502 * [backup-simplify]: Simplify (log 1) into 0
1.503 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.503 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re))
1.503 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
1.503 * [taylor]: Taking taylor expansion of (pow re -1/2) in im
1.503 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im
1.503 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im
1.503 * [taylor]: Taking taylor expansion of -1/2 in im
1.503 * [backup-simplify]: Simplify -1/2 into -1/2
1.503 * [taylor]: Taking taylor expansion of (log re) in im
1.503 * [taylor]: Taking taylor expansion of re in im
1.503 * [backup-simplify]: Simplify re into re
1.503 * [backup-simplify]: Simplify (log re) into (log re)
1.503 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re))
1.503 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
1.503 * [backup-simplify]: Simplify (pow re -1/2) into (pow re -1/2)
1.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.505 * [backup-simplify]: Simplify (+ 0 0) into 0
1.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.507 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.507 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0
1.508 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
1.508 * [taylor]: Taking taylor expansion of 0 in im
1.508 * [backup-simplify]: Simplify 0 into 0
1.508 * [backup-simplify]: Simplify 0 into 0
1.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
1.509 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0
1.510 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
1.510 * [backup-simplify]: Simplify 0 into 0
1.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.512 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.514 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
1.514 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.515 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2)))
1.516 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
1.516 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) in im
1.516 * [taylor]: Taking taylor expansion of 1/4 in im
1.516 * [backup-simplify]: Simplify 1/4 into 1/4
1.516 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (/ 1 (pow im 2))) in im
1.516 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in im
1.516 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.516 * [taylor]: Taking taylor expansion of re in im
1.516 * [backup-simplify]: Simplify re into re
1.516 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.516 * [backup-simplify]: Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
1.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
1.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.516 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.516 * [taylor]: Taking taylor expansion of im in im
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify 1 into 1
1.517 * [backup-simplify]: Simplify (* 1 1) into 1
1.517 * [backup-simplify]: Simplify (/ 1 1) into 1
1.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
1.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 re)))) into 0
1.521 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
1.521 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (* 0 1)) into 0
1.522 * [backup-simplify]: Simplify (* (sqrt (/ 1 re)) 1) into (sqrt (/ 1 re))
1.522 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 re))))) into 0
1.522 * [backup-simplify]: Simplify 0 into 0
1.522 * [backup-simplify]: Simplify 0 into 0
1.524 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
1.525 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0
1.526 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.526 * [backup-simplify]: Simplify 0 into 0
1.526 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.528 * [backup-simplify]: Simplify (+ 0 0) into 0
1.531 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1.532 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
1.535 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.535 * [taylor]: Taking taylor expansion of 0 in im
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify (pow (/ 1 re) -1/2) into (pow (/ 1 re) -1/2)
1.535 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)
1.535 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in (re im) around 0
1.535 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im
1.535 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
1.536 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
1.536 * [taylor]: Taking taylor expansion of 1/4 in im
1.536 * [backup-simplify]: Simplify 1/4 into 1/4
1.536 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.536 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.536 * [taylor]: Taking taylor expansion of im in im
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 1 into 1
1.536 * [backup-simplify]: Simplify (* 1 1) into 1
1.536 * [backup-simplify]: Simplify (/ 1 1) into 1
1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.536 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.536 * [taylor]: Taking taylor expansion of re in im
1.537 * [backup-simplify]: Simplify re into re
1.537 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.537 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.537 * [backup-simplify]: Simplify (+ 1 0) into 1
1.537 * [backup-simplify]: Simplify (log 1) into 0
1.538 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
1.538 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im))
1.538 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2)
1.538 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re
1.538 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
1.538 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.538 * [taylor]: Taking taylor expansion of 1/4 in re
1.538 * [backup-simplify]: Simplify 1/4 into 1/4
1.538 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.538 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.538 * [taylor]: Taking taylor expansion of im in re
1.538 * [backup-simplify]: Simplify im into im
1.538 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.539 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.539 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.539 * [taylor]: Taking taylor expansion of re in re
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify 1 into 1
1.539 * [backup-simplify]: Simplify (* 1 1) into 1
1.539 * [backup-simplify]: Simplify (/ 1 1) into 1
1.540 * [backup-simplify]: Simplify (+ 0 1) into 1
1.540 * [backup-simplify]: Simplify (log 1) into 0
1.540 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.541 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re))
1.541 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
1.541 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re
1.541 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
1.541 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.541 * [taylor]: Taking taylor expansion of 1/4 in re
1.541 * [backup-simplify]: Simplify 1/4 into 1/4
1.541 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.541 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.541 * [taylor]: Taking taylor expansion of im in re
1.541 * [backup-simplify]: Simplify im into im
1.541 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.541 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.541 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.541 * [taylor]: Taking taylor expansion of re in re
1.541 * [backup-simplify]: Simplify 0 into 0
1.541 * [backup-simplify]: Simplify 1 into 1
1.542 * [backup-simplify]: Simplify (* 1 1) into 1
1.542 * [backup-simplify]: Simplify (/ 1 1) into 1
1.542 * [backup-simplify]: Simplify (+ 0 1) into 1
1.543 * [backup-simplify]: Simplify (log 1) into 0
1.543 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.543 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re))
1.543 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
1.543 * [taylor]: Taking taylor expansion of (pow re -1/2) in im
1.543 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im
1.543 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im
1.543 * [taylor]: Taking taylor expansion of -1/2 in im
1.543 * [backup-simplify]: Simplify -1/2 into -1/2
1.543 * [taylor]: Taking taylor expansion of (log re) in im
1.543 * [taylor]: Taking taylor expansion of re in im
1.544 * [backup-simplify]: Simplify re into re
1.544 * [backup-simplify]: Simplify (log re) into (log re)
1.544 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re))
1.544 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
1.544 * [backup-simplify]: Simplify (pow re -1/2) into (pow re -1/2)
1.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.545 * [backup-simplify]: Simplify (+ 0 0) into 0
1.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.547 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.547 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0
1.548 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
1.548 * [taylor]: Taking taylor expansion of 0 in im
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify 0 into 0
1.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
1.550 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0
1.550 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
1.550 * [backup-simplify]: Simplify 0 into 0
1.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.552 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.554 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
1.554 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.555 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2)))
1.556 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
1.556 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) in im
1.556 * [taylor]: Taking taylor expansion of 1/4 in im
1.556 * [backup-simplify]: Simplify 1/4 into 1/4
1.556 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (/ 1 (pow im 2))) in im
1.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in im
1.556 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.556 * [taylor]: Taking taylor expansion of re in im
1.556 * [backup-simplify]: Simplify re into re
1.556 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.556 * [backup-simplify]: Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
1.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
1.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.556 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.556 * [taylor]: Taking taylor expansion of im in im
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 1 into 1
1.557 * [backup-simplify]: Simplify (* 1 1) into 1
1.557 * [backup-simplify]: Simplify (/ 1 1) into 1
1.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
1.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 re)))) into 0
1.561 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
1.562 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (* 0 1)) into 0
1.562 * [backup-simplify]: Simplify (* (sqrt (/ 1 re)) 1) into (sqrt (/ 1 re))
1.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 re))))) into 0
1.563 * [backup-simplify]: Simplify 0 into 0
1.563 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
1.565 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0
1.566 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.569 * [backup-simplify]: Simplify (+ 0 0) into 0
1.575 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1.576 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.576 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
1.578 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.578 * [taylor]: Taking taylor expansion of 0 in im
1.578 * [backup-simplify]: Simplify 0 into 0
1.578 * [backup-simplify]: Simplify 0 into 0
1.578 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/2) into (pow (/ -1 re) -1/2)
1.578 * * * [progress]: simplifying candidates
1.580 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (+ 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 (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (log (sqrt (sqrt (+ (* re re) (* im im)))))
  (exp (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))
  (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt 1)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))
  (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))
  (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))
  (sqrt (sqrt (- (* re re) (* im im))))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- (pow im 1/2) (+ (* +nan.0 (* (pow re 2) im)) (- (* +nan.0 (pow re 2)))))
  (pow (/ 1 re) -1/2)
  (pow (/ -1 re) -1/2)
2.277 * * * [progress]: adding candidates to table
2.680 * * [progress]: iteration 3 / 4
2.680 * * * [progress]: picking best candidate
2.685 * * * * [pick]: Picked  #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))>
2.685 * * * [progress]: localizing error
2.698 * * * [progress]: generating rewritten candidates
2.699 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
2.712 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
2.720 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
2.728 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
2.811 * * * [progress]: generating series expansions
2.812 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
2.812 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.812 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.812 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.812 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.812 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.812 * [taylor]: Taking taylor expansion of re in im
2.812 * [backup-simplify]: Simplify re into re
2.812 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.812 * [taylor]: Taking taylor expansion of im in im
2.812 * [backup-simplify]: Simplify 0 into 0
2.812 * [backup-simplify]: Simplify 1 into 1
2.812 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.812 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.812 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.813 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.813 * [backup-simplify]: Simplify (+ 0 0) into 0
2.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.813 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.813 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.813 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.813 * [taylor]: Taking taylor expansion of re in re
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify 1 into 1
2.813 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.813 * [taylor]: Taking taylor expansion of im in re
2.813 * [backup-simplify]: Simplify im into im
2.814 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.814 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.814 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.814 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.814 * [backup-simplify]: Simplify (+ 0 0) into 0
2.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.814 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.814 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.814 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.814 * [taylor]: Taking taylor expansion of re in re
2.814 * [backup-simplify]: Simplify 0 into 0
2.814 * [backup-simplify]: Simplify 1 into 1
2.815 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.815 * [taylor]: Taking taylor expansion of im in re
2.815 * [backup-simplify]: Simplify im into im
2.815 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.815 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.815 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.815 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.815 * [backup-simplify]: Simplify (+ 0 0) into 0
2.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.815 * [taylor]: Taking taylor expansion of im in im
2.816 * [backup-simplify]: Simplify 0 into 0
2.816 * [backup-simplify]: Simplify 1 into 1
2.816 * [backup-simplify]: Simplify 0 into 0
2.816 * [taylor]: Taking taylor expansion of 0 in im
2.816 * [backup-simplify]: Simplify 0 into 0
2.816 * [backup-simplify]: Simplify 0 into 0
2.816 * [backup-simplify]: Simplify 1 into 1
2.816 * [backup-simplify]: Simplify (* 1 1) into 1
2.816 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.817 * [backup-simplify]: Simplify (+ 1 0) into 1
2.817 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.817 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.817 * [taylor]: Taking taylor expansion of 1/2 in im
2.817 * [backup-simplify]: Simplify 1/2 into 1/2
2.818 * [taylor]: Taking taylor expansion of im in im
2.818 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify 1 into 1
2.818 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.819 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.820 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.820 * [backup-simplify]: Simplify (+ 0 0) into 0
2.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.820 * [taylor]: Taking taylor expansion of 0 in im
2.820 * [backup-simplify]: Simplify 0 into 0
2.820 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.822 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.822 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.822 * [taylor]: Taking taylor expansion of im in im
2.822 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify 1 into 1
2.822 * [backup-simplify]: Simplify (* 1 1) into 1
2.822 * [backup-simplify]: Simplify (/ 1 1) into 1
2.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.822 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.822 * [taylor]: Taking taylor expansion of re in im
2.823 * [backup-simplify]: Simplify re into re
2.823 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.823 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.823 * [backup-simplify]: Simplify (+ 1 0) into 1
2.823 * [backup-simplify]: Simplify (sqrt 1) into 1
2.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.825 * [backup-simplify]: Simplify (+ 0 0) into 0
2.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.826 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.826 * [taylor]: Taking taylor expansion of im in re
2.826 * [backup-simplify]: Simplify im into im
2.826 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.826 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.826 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.826 * [taylor]: Taking taylor expansion of re in re
2.826 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify 1 into 1
2.826 * [backup-simplify]: Simplify (* 1 1) into 1
2.827 * [backup-simplify]: Simplify (/ 1 1) into 1
2.827 * [backup-simplify]: Simplify (+ 0 1) into 1
2.827 * [backup-simplify]: Simplify (sqrt 1) into 1
2.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.829 * [backup-simplify]: Simplify (+ 0 0) into 0
2.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.829 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.829 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.829 * [taylor]: Taking taylor expansion of im in re
2.829 * [backup-simplify]: Simplify im into im
2.830 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.830 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.830 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.830 * [taylor]: Taking taylor expansion of re in re
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify 1 into 1
2.830 * [backup-simplify]: Simplify (* 1 1) into 1
2.830 * [backup-simplify]: Simplify (/ 1 1) into 1
2.831 * [backup-simplify]: Simplify (+ 0 1) into 1
2.831 * [backup-simplify]: Simplify (sqrt 1) into 1
2.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.832 * [backup-simplify]: Simplify (+ 0 0) into 0
2.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.833 * [taylor]: Taking taylor expansion of 1 in im
2.833 * [backup-simplify]: Simplify 1 into 1
2.833 * [taylor]: Taking taylor expansion of 0 in im
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * [backup-simplify]: Simplify 1 into 1
2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.835 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.836 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.836 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.836 * [taylor]: Taking taylor expansion of 1/2 in im
2.836 * [backup-simplify]: Simplify 1/2 into 1/2
2.836 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.836 * [taylor]: Taking taylor expansion of im in im
2.836 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify 1 into 1
2.836 * [backup-simplify]: Simplify (* 1 1) into 1
2.837 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.840 * [backup-simplify]: Simplify (+ 0 0) into 0
2.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.841 * [taylor]: Taking taylor expansion of 0 in im
2.841 * [backup-simplify]: Simplify 0 into 0
2.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.842 * [backup-simplify]: Simplify 0 into 0
2.842 * [backup-simplify]: Simplify 0 into 0
2.842 * [backup-simplify]: Simplify 0 into 0
2.842 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.843 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.843 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.843 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.843 * [taylor]: Taking taylor expansion of im in im
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify 1 into 1
2.843 * [backup-simplify]: Simplify (* 1 1) into 1
2.843 * [backup-simplify]: Simplify (/ 1 1) into 1
2.844 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.844 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.844 * [taylor]: Taking taylor expansion of re in im
2.844 * [backup-simplify]: Simplify re into re
2.844 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.844 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.844 * [backup-simplify]: Simplify (+ 1 0) into 1
2.844 * [backup-simplify]: Simplify (sqrt 1) into 1
2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.846 * [backup-simplify]: Simplify (+ 0 0) into 0
2.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.847 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.847 * [taylor]: Taking taylor expansion of im in re
2.847 * [backup-simplify]: Simplify im into im
2.847 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.847 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.847 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.847 * [taylor]: Taking taylor expansion of re in re
2.847 * [backup-simplify]: Simplify 0 into 0
2.847 * [backup-simplify]: Simplify 1 into 1
2.847 * [backup-simplify]: Simplify (* 1 1) into 1
2.847 * [backup-simplify]: Simplify (/ 1 1) into 1
2.848 * [backup-simplify]: Simplify (+ 0 1) into 1
2.848 * [backup-simplify]: Simplify (sqrt 1) into 1
2.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.849 * [backup-simplify]: Simplify (+ 0 0) into 0
2.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.850 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.850 * [taylor]: Taking taylor expansion of im in re
2.850 * [backup-simplify]: Simplify im into im
2.850 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.850 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.850 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.850 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.851 * [taylor]: Taking taylor expansion of re in re
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 1 into 1
2.851 * [backup-simplify]: Simplify (* 1 1) into 1
2.851 * [backup-simplify]: Simplify (/ 1 1) into 1
2.852 * [backup-simplify]: Simplify (+ 0 1) into 1
2.852 * [backup-simplify]: Simplify (sqrt 1) into 1
2.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.853 * [backup-simplify]: Simplify (+ 0 0) into 0
2.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.854 * [taylor]: Taking taylor expansion of 1 in im
2.854 * [backup-simplify]: Simplify 1 into 1
2.854 * [taylor]: Taking taylor expansion of 0 in im
2.854 * [backup-simplify]: Simplify 0 into 0
2.854 * [backup-simplify]: Simplify 1 into 1
2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.856 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.857 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.857 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.857 * [taylor]: Taking taylor expansion of 1/2 in im
2.857 * [backup-simplify]: Simplify 1/2 into 1/2
2.857 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.857 * [taylor]: Taking taylor expansion of im in im
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [backup-simplify]: Simplify (* 1 1) into 1
2.858 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (+ 0 0) into 0
2.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.862 * [taylor]: Taking taylor expansion of 0 in im
2.862 * [backup-simplify]: Simplify 0 into 0
2.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.863 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
2.864 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.864 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.864 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.864 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.864 * [taylor]: Taking taylor expansion of re in im
2.864 * [backup-simplify]: Simplify re into re
2.864 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.864 * [taylor]: Taking taylor expansion of im in im
2.864 * [backup-simplify]: Simplify 0 into 0
2.864 * [backup-simplify]: Simplify 1 into 1
2.864 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.864 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.864 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.864 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.864 * [backup-simplify]: Simplify (+ 0 0) into 0
2.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.865 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.865 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.865 * [taylor]: Taking taylor expansion of re in re
2.865 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify 1 into 1
2.865 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.865 * [taylor]: Taking taylor expansion of im in re
2.865 * [backup-simplify]: Simplify im into im
2.865 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.865 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.865 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.866 * [backup-simplify]: Simplify (+ 0 0) into 0
2.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.866 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.866 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.866 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.866 * [taylor]: Taking taylor expansion of re in re
2.866 * [backup-simplify]: Simplify 0 into 0
2.866 * [backup-simplify]: Simplify 1 into 1
2.866 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.866 * [taylor]: Taking taylor expansion of im in re
2.866 * [backup-simplify]: Simplify im into im
2.866 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.866 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.866 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.866 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.867 * [backup-simplify]: Simplify (+ 0 0) into 0
2.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.867 * [taylor]: Taking taylor expansion of im in im
2.867 * [backup-simplify]: Simplify 0 into 0
2.867 * [backup-simplify]: Simplify 1 into 1
2.867 * [backup-simplify]: Simplify 0 into 0
2.867 * [taylor]: Taking taylor expansion of 0 in im
2.867 * [backup-simplify]: Simplify 0 into 0
2.867 * [backup-simplify]: Simplify 0 into 0
2.867 * [backup-simplify]: Simplify 1 into 1
2.867 * [backup-simplify]: Simplify (* 1 1) into 1
2.868 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.868 * [backup-simplify]: Simplify (+ 1 0) into 1
2.869 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.869 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.869 * [taylor]: Taking taylor expansion of 1/2 in im
2.869 * [backup-simplify]: Simplify 1/2 into 1/2
2.869 * [taylor]: Taking taylor expansion of im in im
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 1 into 1
2.869 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.870 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.871 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.871 * [backup-simplify]: Simplify (+ 0 0) into 0
2.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.872 * [taylor]: Taking taylor expansion of 0 in im
2.872 * [backup-simplify]: Simplify 0 into 0
2.872 * [backup-simplify]: Simplify 0 into 0
2.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.877 * [backup-simplify]: Simplify 0 into 0
2.877 * [backup-simplify]: Simplify 0 into 0
2.877 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.877 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.877 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.877 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.877 * [taylor]: Taking taylor expansion of im in im
2.877 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 1 into 1
2.878 * [backup-simplify]: Simplify (* 1 1) into 1
2.878 * [backup-simplify]: Simplify (/ 1 1) into 1
2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.878 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.878 * [taylor]: Taking taylor expansion of re in im
2.878 * [backup-simplify]: Simplify re into re
2.878 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.879 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.879 * [backup-simplify]: Simplify (+ 1 0) into 1
2.879 * [backup-simplify]: Simplify (sqrt 1) into 1
2.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.881 * [backup-simplify]: Simplify (+ 0 0) into 0
2.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.881 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.881 * [taylor]: Taking taylor expansion of im in re
2.881 * [backup-simplify]: Simplify im into im
2.881 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.882 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.882 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.882 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.882 * [taylor]: Taking taylor expansion of re in re
2.882 * [backup-simplify]: Simplify 0 into 0
2.882 * [backup-simplify]: Simplify 1 into 1
2.882 * [backup-simplify]: Simplify (* 1 1) into 1
2.882 * [backup-simplify]: Simplify (/ 1 1) into 1
2.883 * [backup-simplify]: Simplify (+ 0 1) into 1
2.883 * [backup-simplify]: Simplify (sqrt 1) into 1
2.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.885 * [backup-simplify]: Simplify (+ 0 0) into 0
2.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.885 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.885 * [taylor]: Taking taylor expansion of im in re
2.885 * [backup-simplify]: Simplify im into im
2.885 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.886 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.886 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.886 * [taylor]: Taking taylor expansion of re in re
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [backup-simplify]: Simplify (* 1 1) into 1
2.886 * [backup-simplify]: Simplify (/ 1 1) into 1
2.887 * [backup-simplify]: Simplify (+ 0 1) into 1
2.887 * [backup-simplify]: Simplify (sqrt 1) into 1
2.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.889 * [backup-simplify]: Simplify (+ 0 0) into 0
2.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.889 * [taylor]: Taking taylor expansion of 1 in im
2.889 * [backup-simplify]: Simplify 1 into 1
2.889 * [taylor]: Taking taylor expansion of 0 in im
2.889 * [backup-simplify]: Simplify 0 into 0
2.889 * [backup-simplify]: Simplify 1 into 1
2.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.891 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.892 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.892 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.892 * [taylor]: Taking taylor expansion of 1/2 in im
2.892 * [backup-simplify]: Simplify 1/2 into 1/2
2.892 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.892 * [taylor]: Taking taylor expansion of im in im
2.892 * [backup-simplify]: Simplify 0 into 0
2.892 * [backup-simplify]: Simplify 1 into 1
2.893 * [backup-simplify]: Simplify (* 1 1) into 1
2.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.894 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify 0 into 0
2.895 * [backup-simplify]: Simplify 0 into 0
2.895 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.897 * [backup-simplify]: Simplify (+ 0 0) into 0
2.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.897 * [taylor]: Taking taylor expansion of 0 in im
2.897 * [backup-simplify]: Simplify 0 into 0
2.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.899 * [backup-simplify]: Simplify 0 into 0
2.899 * [backup-simplify]: Simplify 0 into 0
2.899 * [backup-simplify]: Simplify 0 into 0
2.899 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.900 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.900 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.900 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.900 * [taylor]: Taking taylor expansion of im in im
2.900 * [backup-simplify]: Simplify 0 into 0
2.900 * [backup-simplify]: Simplify 1 into 1
2.900 * [backup-simplify]: Simplify (* 1 1) into 1
2.900 * [backup-simplify]: Simplify (/ 1 1) into 1
2.900 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.900 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.900 * [taylor]: Taking taylor expansion of re in im
2.900 * [backup-simplify]: Simplify re into re
2.901 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.901 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.901 * [backup-simplify]: Simplify (+ 1 0) into 1
2.901 * [backup-simplify]: Simplify (sqrt 1) into 1
2.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.903 * [backup-simplify]: Simplify (+ 0 0) into 0
2.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.903 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.903 * [taylor]: Taking taylor expansion of im in re
2.904 * [backup-simplify]: Simplify im into im
2.904 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.904 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.904 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.904 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.904 * [taylor]: Taking taylor expansion of re in re
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 1 into 1
2.904 * [backup-simplify]: Simplify (* 1 1) into 1
2.905 * [backup-simplify]: Simplify (/ 1 1) into 1
2.905 * [backup-simplify]: Simplify (+ 0 1) into 1
2.905 * [backup-simplify]: Simplify (sqrt 1) into 1
2.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.907 * [backup-simplify]: Simplify (+ 0 0) into 0
2.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.908 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.908 * [taylor]: Taking taylor expansion of im in re
2.908 * [backup-simplify]: Simplify im into im
2.908 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.909 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.909 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.909 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.909 * [taylor]: Taking taylor expansion of re in re
2.909 * [backup-simplify]: Simplify 0 into 0
2.909 * [backup-simplify]: Simplify 1 into 1
2.909 * [backup-simplify]: Simplify (* 1 1) into 1
2.909 * [backup-simplify]: Simplify (/ 1 1) into 1
2.910 * [backup-simplify]: Simplify (+ 0 1) into 1
2.910 * [backup-simplify]: Simplify (sqrt 1) into 1
2.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.912 * [backup-simplify]: Simplify (+ 0 0) into 0
2.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.913 * [taylor]: Taking taylor expansion of 1 in im
2.913 * [backup-simplify]: Simplify 1 into 1
2.913 * [taylor]: Taking taylor expansion of 0 in im
2.913 * [backup-simplify]: Simplify 0 into 0
2.913 * [backup-simplify]: Simplify 1 into 1
2.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.914 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.915 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.915 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.915 * [taylor]: Taking taylor expansion of 1/2 in im
2.915 * [backup-simplify]: Simplify 1/2 into 1/2
2.915 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.916 * [taylor]: Taking taylor expansion of im in im
2.916 * [backup-simplify]: Simplify 0 into 0
2.916 * [backup-simplify]: Simplify 1 into 1
2.916 * [backup-simplify]: Simplify (* 1 1) into 1
2.916 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.920 * [backup-simplify]: Simplify (+ 0 0) into 0
2.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.920 * [taylor]: Taking taylor expansion of 0 in im
2.920 * [backup-simplify]: Simplify 0 into 0
2.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.922 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.922 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
2.922 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.922 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.922 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.922 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.922 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.922 * [taylor]: Taking taylor expansion of re in im
2.922 * [backup-simplify]: Simplify re into re
2.922 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.922 * [taylor]: Taking taylor expansion of im in im
2.922 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify 1 into 1
2.923 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.923 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.923 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.923 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.923 * [backup-simplify]: Simplify (+ 0 0) into 0
2.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.923 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.923 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.923 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.923 * [taylor]: Taking taylor expansion of re in re
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify 1 into 1
2.923 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.923 * [taylor]: Taking taylor expansion of im in re
2.924 * [backup-simplify]: Simplify im into im
2.924 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.924 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.924 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.924 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.924 * [backup-simplify]: Simplify (+ 0 0) into 0
2.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.924 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.924 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.924 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.924 * [taylor]: Taking taylor expansion of re in re
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 1 into 1
2.925 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.925 * [taylor]: Taking taylor expansion of im in re
2.925 * [backup-simplify]: Simplify im into im
2.925 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.925 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.925 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.925 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.925 * [backup-simplify]: Simplify (+ 0 0) into 0
2.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.925 * [taylor]: Taking taylor expansion of im in im
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 1 into 1
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [taylor]: Taking taylor expansion of 0 in im
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 1 into 1
2.926 * [backup-simplify]: Simplify (* 1 1) into 1
2.926 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.927 * [backup-simplify]: Simplify (+ 1 0) into 1
2.927 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.927 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.927 * [taylor]: Taking taylor expansion of 1/2 in im
2.927 * [backup-simplify]: Simplify 1/2 into 1/2
2.927 * [taylor]: Taking taylor expansion of im in im
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.928 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.929 * [backup-simplify]: Simplify 0 into 0
2.929 * [backup-simplify]: Simplify 0 into 0
2.929 * [backup-simplify]: Simplify 0 into 0
2.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.930 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.930 * [backup-simplify]: Simplify (+ 0 0) into 0
2.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.930 * [taylor]: Taking taylor expansion of 0 in im
2.930 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.931 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.932 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.932 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.932 * [taylor]: Taking taylor expansion of im in im
2.932 * [backup-simplify]: Simplify 0 into 0
2.932 * [backup-simplify]: Simplify 1 into 1
2.932 * [backup-simplify]: Simplify (* 1 1) into 1
2.932 * [backup-simplify]: Simplify (/ 1 1) into 1
2.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.932 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.932 * [taylor]: Taking taylor expansion of re in im
2.932 * [backup-simplify]: Simplify re into re
2.932 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.933 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.933 * [backup-simplify]: Simplify (+ 1 0) into 1
2.933 * [backup-simplify]: Simplify (sqrt 1) into 1
2.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.935 * [backup-simplify]: Simplify (+ 0 0) into 0
2.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.935 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.935 * [taylor]: Taking taylor expansion of im in re
2.935 * [backup-simplify]: Simplify im into im
2.935 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.936 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.936 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.936 * [taylor]: Taking taylor expansion of re in re
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 1 into 1
2.936 * [backup-simplify]: Simplify (* 1 1) into 1
2.936 * [backup-simplify]: Simplify (/ 1 1) into 1
2.937 * [backup-simplify]: Simplify (+ 0 1) into 1
2.937 * [backup-simplify]: Simplify (sqrt 1) into 1
2.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.938 * [backup-simplify]: Simplify (+ 0 0) into 0
2.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.939 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.939 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.939 * [taylor]: Taking taylor expansion of im in re
2.939 * [backup-simplify]: Simplify im into im
2.939 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.939 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.939 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.939 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.939 * [taylor]: Taking taylor expansion of re in re
2.939 * [backup-simplify]: Simplify 0 into 0
2.939 * [backup-simplify]: Simplify 1 into 1
2.940 * [backup-simplify]: Simplify (* 1 1) into 1
2.940 * [backup-simplify]: Simplify (/ 1 1) into 1
2.940 * [backup-simplify]: Simplify (+ 0 1) into 1
2.941 * [backup-simplify]: Simplify (sqrt 1) into 1
2.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.942 * [backup-simplify]: Simplify (+ 0 0) into 0
2.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.943 * [taylor]: Taking taylor expansion of 1 in im
2.943 * [backup-simplify]: Simplify 1 into 1
2.943 * [taylor]: Taking taylor expansion of 0 in im
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify 1 into 1
2.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.945 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.946 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.946 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.946 * [taylor]: Taking taylor expansion of 1/2 in im
2.946 * [backup-simplify]: Simplify 1/2 into 1/2
2.946 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.946 * [taylor]: Taking taylor expansion of im in im
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify 1 into 1
2.946 * [backup-simplify]: Simplify (* 1 1) into 1
2.946 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (+ 0 0) into 0
2.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.950 * [taylor]: Taking taylor expansion of 0 in im
2.950 * [backup-simplify]: Simplify 0 into 0
2.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.953 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.953 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.953 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.953 * [taylor]: Taking taylor expansion of im in im
2.953 * [backup-simplify]: Simplify 0 into 0
2.953 * [backup-simplify]: Simplify 1 into 1
2.953 * [backup-simplify]: Simplify (* 1 1) into 1
2.953 * [backup-simplify]: Simplify (/ 1 1) into 1
2.953 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.953 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.953 * [taylor]: Taking taylor expansion of re in im
2.953 * [backup-simplify]: Simplify re into re
2.953 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.954 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.954 * [backup-simplify]: Simplify (+ 1 0) into 1
2.954 * [backup-simplify]: Simplify (sqrt 1) into 1
2.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.956 * [backup-simplify]: Simplify (+ 0 0) into 0
2.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.956 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.956 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.956 * [taylor]: Taking taylor expansion of im in re
2.956 * [backup-simplify]: Simplify im into im
2.956 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.957 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.957 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.957 * [taylor]: Taking taylor expansion of re in re
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify 1 into 1
2.957 * [backup-simplify]: Simplify (* 1 1) into 1
2.957 * [backup-simplify]: Simplify (/ 1 1) into 1
2.958 * [backup-simplify]: Simplify (+ 0 1) into 1
2.958 * [backup-simplify]: Simplify (sqrt 1) into 1
2.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.959 * [backup-simplify]: Simplify (+ 0 0) into 0
2.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.960 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.960 * [taylor]: Taking taylor expansion of im in re
2.960 * [backup-simplify]: Simplify im into im
2.960 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.960 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.960 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.960 * [taylor]: Taking taylor expansion of re in re
2.960 * [backup-simplify]: Simplify 0 into 0
2.960 * [backup-simplify]: Simplify 1 into 1
2.961 * [backup-simplify]: Simplify (* 1 1) into 1
2.961 * [backup-simplify]: Simplify (/ 1 1) into 1
2.961 * [backup-simplify]: Simplify (+ 0 1) into 1
2.962 * [backup-simplify]: Simplify (sqrt 1) into 1
2.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.963 * [backup-simplify]: Simplify (+ 0 0) into 0
2.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.964 * [taylor]: Taking taylor expansion of 1 in im
2.964 * [backup-simplify]: Simplify 1 into 1
2.964 * [taylor]: Taking taylor expansion of 0 in im
2.964 * [backup-simplify]: Simplify 0 into 0
2.964 * [backup-simplify]: Simplify 1 into 1
2.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.965 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.966 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.967 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.967 * [taylor]: Taking taylor expansion of 1/2 in im
2.967 * [backup-simplify]: Simplify 1/2 into 1/2
2.967 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.967 * [taylor]: Taking taylor expansion of im in im
2.967 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify 1 into 1
2.967 * [backup-simplify]: Simplify (* 1 1) into 1
2.967 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.971 * [backup-simplify]: Simplify (+ 0 0) into 0
2.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.971 * [taylor]: Taking taylor expansion of 0 in im
2.971 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.973 * [backup-simplify]: Simplify 0 into 0
2.973 * [backup-simplify]: Simplify 0 into 0
2.973 * [backup-simplify]: Simplify 0 into 0
2.973 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.973 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
2.974 * [backup-simplify]: Simplify (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) into (pow (+ (pow re 2) (pow im 2)) 1/4)
2.974 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in (re im) around 0
2.974 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im
2.974 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im
2.974 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im
2.974 * [taylor]: Taking taylor expansion of 1/4 in im
2.974 * [backup-simplify]: Simplify 1/4 into 1/4
2.974 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
2.974 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.974 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.974 * [taylor]: Taking taylor expansion of re in im
2.974 * [backup-simplify]: Simplify re into re
2.974 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.974 * [taylor]: Taking taylor expansion of im in im
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify 1 into 1
2.974 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.974 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.974 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
2.974 * [backup-simplify]: Simplify (* 1/4 (log (pow re 2))) into (* 1/4 (log (pow re 2)))
2.974 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow re 2)))) into (pow (pow re 2) 1/4)
2.974 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re
2.974 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re
2.974 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re
2.974 * [taylor]: Taking taylor expansion of 1/4 in re
2.974 * [backup-simplify]: Simplify 1/4 into 1/4
2.974 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
2.974 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.974 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.974 * [taylor]: Taking taylor expansion of re in re
2.975 * [backup-simplify]: Simplify 0 into 0
2.975 * [backup-simplify]: Simplify 1 into 1
2.975 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.975 * [taylor]: Taking taylor expansion of im in re
2.975 * [backup-simplify]: Simplify im into im
2.975 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.975 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.975 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
2.975 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2)))
2.975 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4)
2.975 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re
2.975 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re
2.975 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re
2.975 * [taylor]: Taking taylor expansion of 1/4 in re
2.975 * [backup-simplify]: Simplify 1/4 into 1/4
2.975 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
2.975 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.975 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.975 * [taylor]: Taking taylor expansion of re in re
2.975 * [backup-simplify]: Simplify 0 into 0
2.975 * [backup-simplify]: Simplify 1 into 1
2.975 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.975 * [taylor]: Taking taylor expansion of im in re
2.975 * [backup-simplify]: Simplify im into im
2.975 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.975 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.975 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
2.975 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2)))
2.976 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4)
2.976 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/4) in im
2.976 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 2)))) in im
2.976 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 2))) in im
2.976 * [taylor]: Taking taylor expansion of 1/4 in im
2.976 * [backup-simplify]: Simplify 1/4 into 1/4
2.976 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
2.976 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.976 * [taylor]: Taking taylor expansion of im in im
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify 1 into 1
2.976 * [backup-simplify]: Simplify (* 1 1) into 1
2.976 * [backup-simplify]: Simplify (log 1) into 0
2.977 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.977 * [backup-simplify]: Simplify (* 1/4 (* 2 (log im))) into (* 1/2 (log im))
2.977 * [backup-simplify]: Simplify (exp (* 1/2 (log im))) into (pow im 1/2)
2.977 * [backup-simplify]: Simplify (pow im 1/2) into (pow im 1/2)
2.977 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.977 * [backup-simplify]: Simplify (+ 0 0) into 0
2.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
2.978 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow im 2)))) into 0
2.979 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.979 * [taylor]: Taking taylor expansion of 0 in im
2.979 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.981 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.981 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log im)))) into 0
2.982 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify (* 1 1) into 1
2.983 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.983 * [backup-simplify]: Simplify (+ 1 0) into 1
2.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
2.985 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/4 (/ 1 (pow im 2)))
2.986 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
2.986 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
2.986 * [taylor]: Taking taylor expansion of 1/4 in im
2.986 * [backup-simplify]: Simplify 1/4 into 1/4
2.986 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
2.986 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
2.986 * [taylor]: Taking taylor expansion of (pow im 3) in im
2.986 * [taylor]: Taking taylor expansion of im in im
2.987 * [backup-simplify]: Simplify 0 into 0
2.987 * [backup-simplify]: Simplify 1 into 1
2.987 * [backup-simplify]: Simplify (* 1 1) into 1
2.987 * [backup-simplify]: Simplify (* 1 1) into 1
2.987 * [backup-simplify]: Simplify (/ 1 1) into 1
2.988 * [backup-simplify]: Simplify (sqrt 0) into 0
2.989 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.993 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.994 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
2.995 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.998 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.998 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.999 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
3.003 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.003 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.005 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.005 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
3.008 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
3.010 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.010 * [taylor]: Taking taylor expansion of 0 in im
3.010 * [backup-simplify]: Simplify 0 into 0
3.010 * [backup-simplify]: Simplify 0 into 0
3.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.017 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
3.017 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.018 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* im (pow re 2))) (+ (* (- +nan.0) (pow (* 1 re) 2)) (pow im 1/2))) into (- (pow im 1/2) (+ (* +nan.0 (* (pow re 2) im)) (- (* +nan.0 (pow re 2)))))
3.019 * [backup-simplify]: Simplify (* (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)
3.019 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in (re im) around 0
3.019 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im
3.019 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
3.019 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.019 * [taylor]: Taking taylor expansion of 1/4 in im
3.019 * [backup-simplify]: Simplify 1/4 into 1/4
3.019 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.019 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.019 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.019 * [taylor]: Taking taylor expansion of im in im
3.019 * [backup-simplify]: Simplify 0 into 0
3.019 * [backup-simplify]: Simplify 1 into 1
3.020 * [backup-simplify]: Simplify (* 1 1) into 1
3.020 * [backup-simplify]: Simplify (/ 1 1) into 1
3.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.020 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.020 * [taylor]: Taking taylor expansion of re in im
3.020 * [backup-simplify]: Simplify re into re
3.020 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.020 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.021 * [backup-simplify]: Simplify (+ 1 0) into 1
3.021 * [backup-simplify]: Simplify (log 1) into 0
3.021 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
3.021 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im))
3.021 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2)
3.022 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re
3.022 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
3.022 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.022 * [taylor]: Taking taylor expansion of 1/4 in re
3.022 * [backup-simplify]: Simplify 1/4 into 1/4
3.022 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.022 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.022 * [taylor]: Taking taylor expansion of im in re
3.022 * [backup-simplify]: Simplify im into im
3.022 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.022 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.022 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.022 * [taylor]: Taking taylor expansion of re in re
3.022 * [backup-simplify]: Simplify 0 into 0
3.022 * [backup-simplify]: Simplify 1 into 1
3.022 * [backup-simplify]: Simplify (* 1 1) into 1
3.023 * [backup-simplify]: Simplify (/ 1 1) into 1
3.023 * [backup-simplify]: Simplify (+ 0 1) into 1
3.023 * [backup-simplify]: Simplify (log 1) into 0
3.024 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
3.024 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re))
3.024 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
3.024 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re
3.024 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
3.024 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.024 * [taylor]: Taking taylor expansion of 1/4 in re
3.024 * [backup-simplify]: Simplify 1/4 into 1/4
3.024 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.024 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.024 * [taylor]: Taking taylor expansion of im in re
3.024 * [backup-simplify]: Simplify im into im
3.024 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.024 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.024 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.024 * [taylor]: Taking taylor expansion of re in re
3.024 * [backup-simplify]: Simplify 0 into 0
3.024 * [backup-simplify]: Simplify 1 into 1
3.025 * [backup-simplify]: Simplify (* 1 1) into 1
3.025 * [backup-simplify]: Simplify (/ 1 1) into 1
3.025 * [backup-simplify]: Simplify (+ 0 1) into 1
3.026 * [backup-simplify]: Simplify (log 1) into 0
3.026 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
3.026 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re))
3.026 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
3.026 * [taylor]: Taking taylor expansion of (pow re -1/2) in im
3.026 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im
3.026 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im
3.026 * [taylor]: Taking taylor expansion of -1/2 in im
3.026 * [backup-simplify]: Simplify -1/2 into -1/2
3.026 * [taylor]: Taking taylor expansion of (log re) in im
3.026 * [taylor]: Taking taylor expansion of re in im
3.027 * [backup-simplify]: Simplify re into re
3.027 * [backup-simplify]: Simplify (log re) into (log re)
3.027 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re))
3.027 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
3.027 * [backup-simplify]: Simplify (pow re -1/2) into (pow re -1/2)
3.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.028 * [backup-simplify]: Simplify (+ 0 0) into 0
3.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.030 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
3.030 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0
3.031 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
3.031 * [taylor]: Taking taylor expansion of 0 in im
3.031 * [backup-simplify]: Simplify 0 into 0
3.031 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
3.032 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0
3.033 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.034 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.036 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
3.036 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
3.037 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2)))
3.038 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
3.038 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) in im
3.038 * [taylor]: Taking taylor expansion of 1/4 in im
3.038 * [backup-simplify]: Simplify 1/4 into 1/4
3.038 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (/ 1 (pow im 2))) in im
3.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in im
3.038 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.038 * [taylor]: Taking taylor expansion of re in im
3.038 * [backup-simplify]: Simplify re into re
3.038 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.038 * [backup-simplify]: Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
3.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
3.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.038 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.038 * [taylor]: Taking taylor expansion of im in im
3.039 * [backup-simplify]: Simplify 0 into 0
3.039 * [backup-simplify]: Simplify 1 into 1
3.039 * [backup-simplify]: Simplify (* 1 1) into 1
3.039 * [backup-simplify]: Simplify (/ 1 1) into 1
3.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
3.042 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 re)))) into 0
3.043 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
3.043 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (* 0 1)) into 0
3.043 * [backup-simplify]: Simplify (* (sqrt (/ 1 re)) 1) into (sqrt (/ 1 re))
3.044 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 re))))) into 0
3.044 * [backup-simplify]: Simplify 0 into 0
3.044 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
3.046 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0
3.047 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.047 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.050 * [backup-simplify]: Simplify (+ 0 0) into 0
3.053 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
3.053 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
3.054 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
3.056 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.056 * [taylor]: Taking taylor expansion of 0 in im
3.056 * [backup-simplify]: Simplify 0 into 0
3.056 * [backup-simplify]: Simplify 0 into 0
3.056 * [backup-simplify]: Simplify (pow (/ 1 re) -1/2) into (pow (/ 1 re) -1/2)
3.057 * [backup-simplify]: Simplify (* (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)
3.057 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in (re im) around 0
3.057 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im
3.057 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
3.057 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.057 * [taylor]: Taking taylor expansion of 1/4 in im
3.057 * [backup-simplify]: Simplify 1/4 into 1/4
3.057 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.057 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.057 * [taylor]: Taking taylor expansion of im in im
3.057 * [backup-simplify]: Simplify 0 into 0
3.057 * [backup-simplify]: Simplify 1 into 1
3.058 * [backup-simplify]: Simplify (* 1 1) into 1
3.058 * [backup-simplify]: Simplify (/ 1 1) into 1
3.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.058 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.058 * [taylor]: Taking taylor expansion of re in im
3.058 * [backup-simplify]: Simplify re into re
3.058 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.058 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.059 * [backup-simplify]: Simplify (+ 1 0) into 1
3.059 * [backup-simplify]: Simplify (log 1) into 0
3.059 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
3.060 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im))
3.060 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2)
3.060 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re
3.060 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
3.060 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.060 * [taylor]: Taking taylor expansion of 1/4 in re
3.060 * [backup-simplify]: Simplify 1/4 into 1/4
3.060 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.060 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.060 * [taylor]: Taking taylor expansion of im in re
3.060 * [backup-simplify]: Simplify im into im
3.060 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.060 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.060 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.060 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.060 * [taylor]: Taking taylor expansion of re in re
3.060 * [backup-simplify]: Simplify 0 into 0
3.060 * [backup-simplify]: Simplify 1 into 1
3.061 * [backup-simplify]: Simplify (* 1 1) into 1
3.061 * [backup-simplify]: Simplify (/ 1 1) into 1
3.061 * [backup-simplify]: Simplify (+ 0 1) into 1
3.062 * [backup-simplify]: Simplify (log 1) into 0
3.062 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
3.062 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re))
3.062 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
3.062 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re
3.062 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
3.062 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.062 * [taylor]: Taking taylor expansion of 1/4 in re
3.062 * [backup-simplify]: Simplify 1/4 into 1/4
3.062 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.062 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.062 * [taylor]: Taking taylor expansion of im in re
3.063 * [backup-simplify]: Simplify im into im
3.063 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.063 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.063 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.063 * [taylor]: Taking taylor expansion of re in re
3.063 * [backup-simplify]: Simplify 0 into 0
3.063 * [backup-simplify]: Simplify 1 into 1
3.063 * [backup-simplify]: Simplify (* 1 1) into 1
3.063 * [backup-simplify]: Simplify (/ 1 1) into 1
3.064 * [backup-simplify]: Simplify (+ 0 1) into 1
3.064 * [backup-simplify]: Simplify (log 1) into 0
3.065 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
3.065 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re))
3.065 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
3.065 * [taylor]: Taking taylor expansion of (pow re -1/2) in im
3.065 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im
3.065 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im
3.065 * [taylor]: Taking taylor expansion of -1/2 in im
3.065 * [backup-simplify]: Simplify -1/2 into -1/2
3.065 * [taylor]: Taking taylor expansion of (log re) in im
3.065 * [taylor]: Taking taylor expansion of re in im
3.065 * [backup-simplify]: Simplify re into re
3.065 * [backup-simplify]: Simplify (log re) into (log re)
3.065 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re))
3.065 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2)
3.065 * [backup-simplify]: Simplify (pow re -1/2) into (pow re -1/2)
3.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.067 * [backup-simplify]: Simplify (+ 0 0) into 0
3.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.069 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
3.069 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0
3.070 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
3.070 * [taylor]: Taking taylor expansion of 0 in im
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
3.071 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0
3.072 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
3.072 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.074 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
3.076 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
3.076 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2)))
3.077 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
3.077 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) in im
3.077 * [taylor]: Taking taylor expansion of 1/4 in im
3.077 * [backup-simplify]: Simplify 1/4 into 1/4
3.077 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (/ 1 (pow im 2))) in im
3.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in im
3.077 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.077 * [taylor]: Taking taylor expansion of re in im
3.077 * [backup-simplify]: Simplify re into re
3.077 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.078 * [backup-simplify]: Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
3.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.078 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.078 * [taylor]: Taking taylor expansion of im in im
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 1 into 1
3.078 * [backup-simplify]: Simplify (* 1 1) into 1
3.078 * [backup-simplify]: Simplify (/ 1 1) into 1
3.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
3.082 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 re)))) into 0
3.082 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
3.083 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (* 0 1)) into 0
3.083 * [backup-simplify]: Simplify (* (sqrt (/ 1 re)) 1) into (sqrt (/ 1 re))
3.084 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 re))))) into 0
3.084 * [backup-simplify]: Simplify 0 into 0
3.084 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
3.088 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0
3.089 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.092 * [backup-simplify]: Simplify (+ 0 0) into 0
3.095 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
3.095 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
3.096 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
3.098 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.098 * [taylor]: Taking taylor expansion of 0 in im
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/2) into (pow (/ -1 re) -1/2)
3.099 * * * [progress]: simplifying candidates
3.102 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (+ 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 (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (log (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (exp (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))
  (cbrt (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (sqrt (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))))
  (* (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))
  (* (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (sqrt (sqrt (- (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))))
  (* (sqrt (sqrt (sqrt (- (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))
  (* (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (sqrt (- (* re re) (* im im))))) (sqrt (sqrt (sqrt (- (* re re) (* im im))))))
  (* (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))
  (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))))
  (* (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))))
  (* (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))))
  (* (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 1))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* 1 1)
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* 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 (+ (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt 1))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 1))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 1)
  (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- (pow im 1/2) (+ (* +nan.0 (* (pow re 2) im)) (- (* +nan.0 (pow re 2)))))
  (pow (/ 1 re) -1/2)
  (pow (/ -1 re) -1/2)
3.891 * * * [progress]: adding candidates to table
4.367 * * [progress]: iteration 4 / 4
4.367 * * * [progress]: picking best candidate
4.371 * * * * [pick]: Picked  #<alt (λ (re im) re)>
4.371 * * * [progress]: localizing error
4.372 * * * [progress]: generating rewritten candidates
4.372 * * * [progress]: generating series expansions
4.372 * * * [progress]: simplifying candidates
4.372 * [simplify]: Simplifying:
  
4.388 * * * [progress]: adding candidates to table
4.388 * [progress]: [Phase 3 of 3] Extracting.
4.388 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* -1 re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.390 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re)
4.390 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* -1 re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.444 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* -1 re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.490 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* -1 re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.529 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.556 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* -1 re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.593 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.613 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* -1 re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.661 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.690 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* -1 re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.729 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* -1 re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.786 * * * [regime]: Found split indices: #<option (#s(si 2 36) #s(si 3 106) #s(si 0 144) #s(si 3 211) #s(si 4 255))>
4.787 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* -1 re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.900 * [regimes]: Found splitpoints: (#s(sp 2 re -1.1991152327731214e+121) #s(sp 3 re -9.538446928549385e-200) #s(sp 0 re 2.4469904649327215e-197) #s(sp 3 re 3.9375726319446014e+124) #s(sp 4 re +nan.0)) , with alts (#<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* -1 re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
4.900 * [simplify]: Simplifying:
  (if (<= re -1.1991152327731214e+121) (* -1 re) (if (<= re -9.538446928549385e-200) (sqrt (+ (* re re) (* im im))) (if (<= re 2.4469904649327215e-197) im (if (<= re 3.9375726319446014e+124) (sqrt (+ (* re re) (* im im))) re))))
5.900 * [regime-testing]: Baseline error score: 32.04287143900648
5.903 * [regime-testing]: Oracle error score: 7.470876200774945
5.909 * [regime-testing]: End program error score: 18.138669720033032