53.840 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.027 * * * [progress]: [2/2] Setting up program.
0.029 * [progress]: [Phase 2 of 3] Improving.
0.030 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.030 * [simplify]: Sending expressions to egg_math:
 (* h0 (sqrt (* h1 (+ (sqrt (+ (* h2 h2) (* h3 h3))) h2))))
0.032 * * [simplify]: iteration  0 :  22  enodes  (cost  8 )
0.034 * * [simplify]: iteration  1 :  24  enodes  (cost  8 )
0.035 * * [simplify]: iteration  2 :  24  enodes  (cost  8 )
0.035 * * [progress]: iteration 1 / 4
0.035 * * * [progress]: picking best candidate
0.038 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.038 * * * [progress]: localizing error
0.048 * * * [progress]: generating rewritten candidates
0.048 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.087 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.098 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.123 * * * [progress]: generating series expansions
0.123 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.123 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.123 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.123 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.123 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.123 * [taylor]: Taking taylor expansion of re in im
0.123 * [backup-simplify]: Simplify re into re
0.123 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.123 * [taylor]: Taking taylor expansion of im in im
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.124 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.124 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.124 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.124 * [taylor]: Taking taylor expansion of im in re
0.124 * [backup-simplify]: Simplify im into im
0.125 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.125 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.125 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.125 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.125 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.125 * [taylor]: Taking taylor expansion of re in re
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.125 * [taylor]: Taking taylor expansion of im in re
0.125 * [backup-simplify]: Simplify im into im
0.125 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.125 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.126 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.126 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.126 * [taylor]: Taking taylor expansion of im in im
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [taylor]: Taking taylor expansion of 0 in im
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (* 1 1) into 1
0.127 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.127 * [backup-simplify]: Simplify (+ 1 0) into 1
0.128 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.128 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.128 * [taylor]: Taking taylor expansion of 1/2 in im
0.128 * [backup-simplify]: Simplify 1/2 into 1/2
0.128 * [taylor]: Taking taylor expansion of im in im
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.130 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.130 * [taylor]: Taking taylor expansion of 0 in im
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.131 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.131 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.131 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.131 * [taylor]: Taking taylor expansion of im in im
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (* 1 1) into 1
0.132 * [backup-simplify]: Simplify (/ 1 1) into 1
0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.132 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.132 * [taylor]: Taking taylor expansion of re in im
0.132 * [backup-simplify]: Simplify re into re
0.132 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.132 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.132 * [backup-simplify]: Simplify (+ 1 0) into 1
0.132 * [backup-simplify]: Simplify (sqrt 1) into 1
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.134 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.134 * [taylor]: Taking taylor expansion of im in re
0.134 * [backup-simplify]: Simplify im into im
0.134 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.134 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.134 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.134 * [taylor]: Taking taylor expansion of re in re
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (* 1 1) into 1
0.135 * [backup-simplify]: Simplify (/ 1 1) into 1
0.135 * [backup-simplify]: Simplify (+ 0 1) into 1
0.135 * [backup-simplify]: Simplify (sqrt 1) into 1
0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.137 * [taylor]: Taking taylor expansion of im in re
0.137 * [backup-simplify]: Simplify im into im
0.137 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.137 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.137 * [taylor]: Taking taylor expansion of re in re
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.138 * [backup-simplify]: Simplify (* 1 1) into 1
0.138 * [backup-simplify]: Simplify (/ 1 1) into 1
0.138 * [backup-simplify]: Simplify (+ 0 1) into 1
0.138 * [backup-simplify]: Simplify (sqrt 1) into 1
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.140 * [taylor]: Taking taylor expansion of 1 in im
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [taylor]: Taking taylor expansion of 0 in im
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.142 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.142 * [taylor]: Taking taylor expansion of 1/2 in im
0.142 * [backup-simplify]: Simplify 1/2 into 1/2
0.142 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.142 * [taylor]: Taking taylor expansion of im in im
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (* 1 1) into 1
0.142 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.145 * [taylor]: Taking taylor expansion of 0 in im
0.145 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
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 (* 1 (/ 1 (/ 1 re)))) into re
0.147 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.147 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
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
0.147 * [backup-simplify]: Simplify (* 1 1) into 1
0.148 * [backup-simplify]: Simplify (/ 1 1) into 1
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow 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 * [backup-simplify]: Simplify (+ 1 0) into 1
0.148 * [backup-simplify]: Simplify (sqrt 1) into 1
0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.150 * [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 * [backup-simplify]: Simplify (sqrt 1) into 1
0.151 * [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
0.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.153 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.153 * [taylor]: Taking taylor expansion of im in re
0.153 * [backup-simplify]: Simplify im into im
0.153 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.153 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.153 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.153 * [taylor]: Taking taylor expansion of re in re
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (* 1 1) into 1
0.153 * [backup-simplify]: Simplify (/ 1 1) into 1
0.154 * [backup-simplify]: Simplify (+ 0 1) into 1
0.154 * [backup-simplify]: Simplify (sqrt 1) into 1
0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.155 * [taylor]: Taking taylor expansion of 1 in im
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of 0 in im
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.157 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.157 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.157 * [taylor]: Taking taylor expansion of 1/2 in im
0.157 * [backup-simplify]: Simplify 1/2 into 1/2
0.157 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.157 * [taylor]: Taking taylor expansion of im in im
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (* 1 1) into 1
0.158 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 im)) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.161 * [taylor]: Taking taylor expansion of 0 in im
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.162 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.162 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.162 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.162 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.162 * [taylor]: Taking taylor expansion of re in im
0.162 * [backup-simplify]: Simplify re into re
0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.163 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.163 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.163 * [taylor]: Taking taylor expansion of re in im
0.163 * [backup-simplify]: Simplify re into re
0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.163 * [taylor]: Taking taylor expansion of im in im
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.163 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.163 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.163 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.163 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.163 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.163 * [taylor]: Taking taylor expansion of re in re
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.163 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.163 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.163 * [taylor]: Taking taylor expansion of re in re
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.163 * [taylor]: Taking taylor expansion of im in re
0.163 * [backup-simplify]: Simplify im into im
0.164 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.164 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.164 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.164 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.164 * [taylor]: Taking taylor expansion of re in re
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.164 * [taylor]: Taking taylor expansion of re in re
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.164 * [taylor]: Taking taylor expansion of im in re
0.164 * [backup-simplify]: Simplify im into im
0.164 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.164 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.165 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.165 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.165 * [backup-simplify]: Simplify (+ 0 im) into im
0.165 * [taylor]: Taking taylor expansion of im in im
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 1 into 1
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (+ 1 0) into 1
0.165 * [taylor]: Taking taylor expansion of 1 in im
0.165 * [backup-simplify]: Simplify 1 into 1
0.165 * [backup-simplify]: Simplify 1 into 1
0.165 * [backup-simplify]: Simplify 1 into 1
0.166 * [backup-simplify]: Simplify (* 1 1) into 1
0.166 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.166 * [backup-simplify]: Simplify (+ 1 0) into 1
0.167 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.167 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.167 * [taylor]: Taking taylor expansion of 1/2 in im
0.167 * [backup-simplify]: Simplify 1/2 into 1/2
0.167 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.167 * [taylor]: Taking taylor expansion of im in im
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
0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.169 * [backup-simplify]: Simplify (+ 0 0) into 0
0.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.170 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [taylor]: Taking taylor expansion of 0 in im
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.175 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.175 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.175 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.175 * [taylor]: Taking taylor expansion of re in im
0.175 * [backup-simplify]: Simplify re into re
0.175 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.175 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.175 * [taylor]: Taking taylor expansion of im in im
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (* 1 1) into 1
0.176 * [backup-simplify]: Simplify (/ 1 1) into 1
0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.176 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.176 * [taylor]: Taking taylor expansion of re in im
0.176 * [backup-simplify]: Simplify re into re
0.176 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.176 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.176 * [backup-simplify]: Simplify (+ 1 0) into 1
0.176 * [backup-simplify]: Simplify (sqrt 1) into 1
0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) into 0
0.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.179 * [taylor]: Taking taylor expansion of re in re
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.179 * [backup-simplify]: Simplify (/ 1 1) into 1
0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.180 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.180 * [taylor]: Taking taylor expansion of im in re
0.180 * [backup-simplify]: Simplify im into im
0.180 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.180 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.180 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.180 * [taylor]: Taking taylor expansion of re in re
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.180 * [backup-simplify]: Simplify (* 1 1) into 1
0.180 * [backup-simplify]: Simplify (/ 1 1) into 1
0.181 * [backup-simplify]: Simplify (+ 0 1) into 1
0.181 * [backup-simplify]: Simplify (sqrt 1) into 1
0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.182 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.182 * [taylor]: Taking taylor expansion of re in re
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (/ 1 1) into 1
0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.183 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.183 * [taylor]: Taking taylor expansion of im in re
0.183 * [backup-simplify]: Simplify im into im
0.183 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.183 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.183 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.183 * [taylor]: Taking taylor expansion of re in re
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (* 1 1) into 1
0.183 * [backup-simplify]: Simplify (/ 1 1) into 1
0.184 * [backup-simplify]: Simplify (+ 0 1) into 1
0.184 * [backup-simplify]: Simplify (sqrt 1) into 1
0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.186 * [backup-simplify]: Simplify (+ 1 1) into 2
0.186 * [taylor]: Taking taylor expansion of 2 in im
0.186 * [backup-simplify]: Simplify 2 into 2
0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (+ 0 0) into 0
0.186 * [taylor]: Taking taylor expansion of 0 in im
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 2 into 2
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.189 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.189 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.189 * [taylor]: Taking taylor expansion of 1/2 in im
0.189 * [backup-simplify]: Simplify 1/2 into 1/2
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.189 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.189 * [taylor]: Taking taylor expansion of im in im
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify (* 1 1) into 1
0.190 * [backup-simplify]: Simplify (/ 1 1) into 1
0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [taylor]: Taking taylor expansion of 0 in im
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.196 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.196 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.196 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.196 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.196 * [taylor]: Taking taylor expansion of im in im
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (* 1 1) into 1
0.196 * [backup-simplify]: Simplify (/ 1 1) into 1
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.197 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.197 * [taylor]: Taking taylor expansion of re in im
0.197 * [backup-simplify]: Simplify re into re
0.197 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.197 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.197 * [backup-simplify]: Simplify (+ 1 0) into 1
0.197 * [backup-simplify]: Simplify (sqrt 1) into 1
0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.199 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.199 * [taylor]: Taking taylor expansion of re in im
0.199 * [backup-simplify]: Simplify re into re
0.199 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.199 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.199 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.199 * [taylor]: Taking taylor expansion of im in re
0.199 * [backup-simplify]: Simplify im into im
0.199 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.199 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.199 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.199 * [taylor]: Taking taylor expansion of re in re
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.200 * [backup-simplify]: Simplify (/ 1 1) into 1
0.200 * [backup-simplify]: Simplify (+ 0 1) into 1
0.200 * [backup-simplify]: Simplify (sqrt 1) into 1
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.202 * [taylor]: Taking taylor expansion of re in re
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (/ 1 1) into 1
0.202 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.202 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.202 * [taylor]: Taking taylor expansion of im in re
0.202 * [backup-simplify]: Simplify im into im
0.202 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.202 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.202 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.202 * [taylor]: Taking taylor expansion of re in re
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (* 1 1) into 1
0.203 * [backup-simplify]: Simplify (/ 1 1) into 1
0.203 * [backup-simplify]: Simplify (+ 0 1) into 1
0.203 * [backup-simplify]: Simplify (sqrt 1) into 1
0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.205 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.205 * [taylor]: Taking taylor expansion of re in re
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (/ 1 1) into 1
0.205 * [backup-simplify]: Simplify (- 1) into -1
0.205 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.205 * [taylor]: Taking taylor expansion of 0 in im
0.205 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.206 * [backup-simplify]: Simplify (- 0) into 0
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [taylor]: Taking taylor expansion of 0 in im
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.208 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.209 * [backup-simplify]: Simplify (- 0) into 0
0.209 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.209 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.209 * [taylor]: Taking taylor expansion of 1/2 in im
0.209 * [backup-simplify]: Simplify 1/2 into 1/2
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.209 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.209 * [taylor]: Taking taylor expansion of im in im
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.210 * [backup-simplify]: Simplify (* 1 1) into 1
0.210 * [backup-simplify]: Simplify (/ 1 1) into 1
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.214 * [backup-simplify]: Simplify (- 0) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [taylor]: Taking taylor expansion of 0 in im
0.214 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.216 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.216 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.216 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.216 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.216 * [taylor]: Taking taylor expansion of re in im
0.216 * [backup-simplify]: Simplify re into re
0.216 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.216 * [taylor]: Taking taylor expansion of im in im
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.216 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.216 * [taylor]: Taking taylor expansion of re in re
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.216 * [taylor]: Taking taylor expansion of im in re
0.216 * [backup-simplify]: Simplify im into im
0.216 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.216 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.216 * [taylor]: Taking taylor expansion of re in re
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.216 * [taylor]: Taking taylor expansion of im in re
0.216 * [backup-simplify]: Simplify im into im
0.217 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.217 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.217 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.217 * [taylor]: Taking taylor expansion of im in im
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.217 * [taylor]: Taking taylor expansion of 0 in im
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify (* 1 1) into 1
0.218 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.218 * [backup-simplify]: Simplify (+ 1 0) into 1
0.218 * [taylor]: Taking taylor expansion of 1 in im
0.218 * [backup-simplify]: Simplify 1 into 1
0.218 * [backup-simplify]: Simplify 1 into 1
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify (* 1 1) into 1
0.218 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.219 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.219 * [taylor]: Taking taylor expansion of 0 in im
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.221 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [taylor]: Taking taylor expansion of 0 in im
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.222 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.222 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.222 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.222 * [taylor]: Taking taylor expansion of im in im
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify (* 1 1) into 1
0.222 * [backup-simplify]: Simplify (/ 1 1) into 1
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.222 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.222 * [taylor]: Taking taylor expansion of re in im
0.222 * [backup-simplify]: Simplify re into re
0.222 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.223 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.223 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.223 * [taylor]: Taking taylor expansion of im in re
0.223 * [backup-simplify]: Simplify im into im
0.223 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.223 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.223 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.223 * [taylor]: Taking taylor expansion of re in re
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (* 1 1) into 1
0.223 * [backup-simplify]: Simplify (/ 1 1) into 1
0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.223 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.223 * [taylor]: Taking taylor expansion of im in re
0.223 * [backup-simplify]: Simplify im into im
0.223 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.224 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.224 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.224 * [taylor]: Taking taylor expansion of re in re
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify (* 1 1) into 1
0.224 * [backup-simplify]: Simplify (/ 1 1) into 1
0.224 * [backup-simplify]: Simplify (+ 0 1) into 1
0.224 * [taylor]: Taking taylor expansion of 1 in im
0.224 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [taylor]: Taking taylor expansion of 0 in im
0.225 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.227 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.227 * [taylor]: Taking taylor expansion of im in im
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (* 1 1) into 1
0.227 * [backup-simplify]: Simplify (/ 1 1) into 1
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [taylor]: Taking taylor expansion of 0 in im
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [taylor]: Taking taylor expansion of 0 in im
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.234 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.234 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.234 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.234 * [taylor]: Taking taylor expansion of im in im
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (* 1 1) into 1
0.234 * [backup-simplify]: Simplify (/ 1 1) into 1
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.234 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.234 * [taylor]: Taking taylor expansion of re in im
0.234 * [backup-simplify]: Simplify re into re
0.234 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.235 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.235 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.235 * [taylor]: Taking taylor expansion of im in re
0.235 * [backup-simplify]: Simplify im into im
0.235 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.235 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.235 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.235 * [taylor]: Taking taylor expansion of re in re
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (* 1 1) into 1
0.235 * [backup-simplify]: Simplify (/ 1 1) into 1
0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.235 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.235 * [taylor]: Taking taylor expansion of im in re
0.235 * [backup-simplify]: Simplify im into im
0.235 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.236 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.236 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.236 * [taylor]: Taking taylor expansion of re in re
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (* 1 1) into 1
0.236 * [backup-simplify]: Simplify (/ 1 1) into 1
0.236 * [backup-simplify]: Simplify (+ 0 1) into 1
0.236 * [taylor]: Taking taylor expansion of 1 in im
0.236 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [taylor]: Taking taylor expansion of 0 in im
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.239 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.239 * [taylor]: Taking taylor expansion of im in im
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify (* 1 1) into 1
0.239 * [backup-simplify]: Simplify (/ 1 1) into 1
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [taylor]: Taking taylor expansion of 0 in im
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [taylor]: Taking taylor expansion of 0 in im
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.245 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.245 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))))
0.246 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.246 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.246 * [taylor]: Taking taylor expansion of 2.0 in im
0.246 * [backup-simplify]: Simplify 2.0 into 2.0
0.246 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.246 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.246 * [taylor]: Taking taylor expansion of re in im
0.246 * [backup-simplify]: Simplify re into re
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.246 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.246 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.246 * [taylor]: Taking taylor expansion of re in im
0.246 * [backup-simplify]: Simplify re into re
0.246 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.246 * [taylor]: Taking taylor expansion of im in im
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.247 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.247 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.247 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.247 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.247 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.248 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.248 * [taylor]: Taking taylor expansion of 2.0 in re
0.248 * [backup-simplify]: Simplify 2.0 into 2.0
0.248 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.248 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.248 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.248 * [taylor]: Taking taylor expansion of re in re
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.249 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.249 * [taylor]: Taking taylor expansion of re in re
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.249 * [taylor]: Taking taylor expansion of im in re
0.249 * [backup-simplify]: Simplify im into im
0.249 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.249 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.249 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.249 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.249 * [backup-simplify]: Simplify (+ 0 im) into im
0.249 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.250 * [backup-simplify]: Simplify (+ 1 0) into 1
0.250 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.250 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.250 * [taylor]: Taking taylor expansion of 2.0 in re
0.250 * [backup-simplify]: Simplify 2.0 into 2.0
0.250 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.250 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.250 * [taylor]: Taking taylor expansion of re in re
0.250 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.251 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.251 * [taylor]: Taking taylor expansion of im in re
0.251 * [backup-simplify]: Simplify im into im
0.251 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.251 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.251 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.251 * [backup-simplify]: Simplify (+ 0 im) into im
0.251 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.252 * [backup-simplify]: Simplify (+ 1 0) into 1
0.252 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.252 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.252 * [taylor]: Taking taylor expansion of 2.0 in im
0.252 * [backup-simplify]: Simplify 2.0 into 2.0
0.252 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.253 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.253 * [taylor]: Taking taylor expansion of im in im
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify (sqrt 0) into 0
0.254 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.254 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.255 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.255 * [taylor]: Taking taylor expansion of 1/2 in im
0.255 * [backup-simplify]: Simplify 1/2 into 1/2
0.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.255 * [taylor]: Taking taylor expansion of 2.0 in im
0.255 * [backup-simplify]: Simplify 2.0 into 2.0
0.255 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.256 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.256 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.256 * [taylor]: Taking taylor expansion of im in im
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (/ 1 1) into 1
0.256 * [backup-simplify]: Simplify (sqrt 0) into 0
0.257 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.258 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.258 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.261 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.262 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.263 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.264 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.264 * [backup-simplify]: Simplify (* 1 1) into 1
0.264 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.265 * [backup-simplify]: Simplify (+ 1 0) into 1
0.265 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.265 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.266 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
0.266 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.267 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.267 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.267 * [taylor]: Taking taylor expansion of 1/8 in im
0.267 * [backup-simplify]: Simplify 1/8 into 1/8
0.267 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.267 * [taylor]: Taking taylor expansion of 2.0 in im
0.267 * [backup-simplify]: Simplify 2.0 into 2.0
0.267 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.268 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.268 * [taylor]: Taking taylor expansion of im in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (* 1 1) into 1
0.268 * [backup-simplify]: Simplify (* 1 1) into 1
0.268 * [backup-simplify]: Simplify (/ 1 1) into 1
0.269 * [backup-simplify]: Simplify (sqrt 0) into 0
0.269 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.280 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.281 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.282 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.285 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.285 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.288 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
0.289 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))
0.289 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0
0.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.289 * [taylor]: Taking taylor expansion of 2.0 in im
0.289 * [backup-simplify]: Simplify 2.0 into 2.0
0.289 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.290 * [taylor]: Taking taylor expansion of re in im
0.290 * [backup-simplify]: Simplify re into re
0.290 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.290 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.290 * [taylor]: Taking taylor expansion of im in im
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.290 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.290 * [taylor]: Taking taylor expansion of re in im
0.290 * [backup-simplify]: Simplify re into re
0.290 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.291 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.291 * [backup-simplify]: Simplify (+ 1 0) into 1
0.291 * [backup-simplify]: Simplify (sqrt 1) into 1
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.293 * [backup-simplify]: Simplify (+ 0 1) into 1
0.293 * [backup-simplify]: Simplify (sqrt 0) into 0
0.294 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.294 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.294 * [taylor]: Taking taylor expansion of 2.0 in re
0.294 * [backup-simplify]: Simplify 2.0 into 2.0
0.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.295 * [taylor]: Taking taylor expansion of re in re
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.295 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.295 * [taylor]: Taking taylor expansion of im in re
0.295 * [backup-simplify]: Simplify im into im
0.295 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.295 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.295 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.295 * [taylor]: Taking taylor expansion of re in re
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [backup-simplify]: Simplify (+ 0 1) into 1
0.296 * [backup-simplify]: Simplify (sqrt 1) into 1
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.298 * [backup-simplify]: Simplify (+ 1 1) into 2
0.298 * [backup-simplify]: Simplify (sqrt 0) into 0
0.299 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.299 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.299 * [taylor]: Taking taylor expansion of 2.0 in re
0.299 * [backup-simplify]: Simplify 2.0 into 2.0
0.299 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.300 * [taylor]: Taking taylor expansion of re in re
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.300 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.300 * [taylor]: Taking taylor expansion of im in re
0.300 * [backup-simplify]: Simplify im into im
0.300 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.300 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.300 * [taylor]: Taking taylor expansion of re in re
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (* 1 1) into 1
0.301 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [backup-simplify]: Simplify (+ 0 1) into 1
0.301 * [backup-simplify]: Simplify (sqrt 1) into 1
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.303 * [backup-simplify]: Simplify (+ 1 1) into 2
0.303 * [backup-simplify]: Simplify (sqrt 0) into 0
0.305 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.305 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.305 * [taylor]: Taking taylor expansion of 0 in im
0.305 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.306 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.306 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.306 * [taylor]: Taking taylor expansion of +nan.0 in im
0.306 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.307 * [taylor]: Taking taylor expansion of 2.0 in im
0.307 * [backup-simplify]: Simplify 2.0 into 2.0
0.307 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.310 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.312 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.312 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.312 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.312 * [taylor]: Taking taylor expansion of +nan.0 in im
0.312 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.312 * [taylor]: Taking taylor expansion of 2.0 in im
0.312 * [backup-simplify]: Simplify 2.0 into 2.0
0.312 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.313 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.314 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.315 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.317 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.318 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.319 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
0.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.320 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.320 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.320 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.320 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.320 * [taylor]: Taking taylor expansion of +nan.0 in im
0.320 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.320 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.320 * [taylor]: Taking taylor expansion of 2.0 in im
0.320 * [backup-simplify]: Simplify 2.0 into 2.0
0.321 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.321 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.321 * [taylor]: Taking taylor expansion of im in im
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (* 1 1) into 1
0.322 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.322 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.322 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.322 * [taylor]: Taking taylor expansion of +nan.0 in im
0.322 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.322 * [taylor]: Taking taylor expansion of 2.0 in im
0.322 * [backup-simplify]: Simplify 2.0 into 2.0
0.322 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.325 * [backup-simplify]: Simplify (- 0) into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.326 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.327 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.328 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.328 * [backup-simplify]: Simplify (- 0) into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.331 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
0.333 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.334 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.334 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.334 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.334 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.334 * [taylor]: Taking taylor expansion of +nan.0 in im
0.334 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.334 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.334 * [taylor]: Taking taylor expansion of 2.0 in im
0.334 * [backup-simplify]: Simplify 2.0 into 2.0
0.334 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.335 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.335 * [taylor]: Taking taylor expansion of im in im
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (* 1 1) into 1
0.336 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.336 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.336 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.336 * [taylor]: Taking taylor expansion of +nan.0 in im
0.336 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.336 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.336 * [taylor]: Taking taylor expansion of 2.0 in im
0.336 * [backup-simplify]: Simplify 2.0 into 2.0
0.336 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify (- 0) into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.342 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.343 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.344 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.345 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.346 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.349 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
0.349 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))
0.349 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0
0.349 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.350 * [taylor]: Taking taylor expansion of 2.0 in im
0.350 * [backup-simplify]: Simplify 2.0 into 2.0
0.350 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.350 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.350 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.350 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.350 * [taylor]: Taking taylor expansion of im in im
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.351 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.351 * [taylor]: Taking taylor expansion of re in im
0.351 * [backup-simplify]: Simplify re into re
0.351 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.351 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.351 * [backup-simplify]: Simplify (+ 1 0) into 1
0.352 * [backup-simplify]: Simplify (sqrt 1) into 1
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.353 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.353 * [taylor]: Taking taylor expansion of re in im
0.353 * [backup-simplify]: Simplify re into re
0.353 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.353 * [backup-simplify]: Simplify (+ 1 0) into 1
0.354 * [backup-simplify]: Simplify (sqrt 0) into 0
0.354 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.355 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.355 * [taylor]: Taking taylor expansion of 2.0 in re
0.355 * [backup-simplify]: Simplify 2.0 into 2.0
0.355 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.355 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.355 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.355 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.355 * [taylor]: Taking taylor expansion of im in re
0.355 * [backup-simplify]: Simplify im into im
0.355 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.356 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.356 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.356 * [taylor]: Taking taylor expansion of re in re
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (* 1 1) into 1
0.356 * [backup-simplify]: Simplify (/ 1 1) into 1
0.356 * [backup-simplify]: Simplify (+ 0 1) into 1
0.357 * [backup-simplify]: Simplify (sqrt 1) into 1
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.358 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.358 * [taylor]: Taking taylor expansion of re in re
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.359 * [backup-simplify]: Simplify (- 1) into -1
0.359 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (- 0) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.362 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (- 0) into 0
0.362 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.363 * [backup-simplify]: Simplify (sqrt 0) into 0
0.363 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.363 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.363 * [taylor]: Taking taylor expansion of 2.0 in re
0.363 * [backup-simplify]: Simplify 2.0 into 2.0
0.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.364 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.364 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.364 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.364 * [taylor]: Taking taylor expansion of im in re
0.364 * [backup-simplify]: Simplify im into im
0.364 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.364 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.364 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.364 * [taylor]: Taking taylor expansion of re in re
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 1 into 1
0.365 * [backup-simplify]: Simplify (* 1 1) into 1
0.365 * [backup-simplify]: Simplify (/ 1 1) into 1
0.365 * [backup-simplify]: Simplify (+ 0 1) into 1
0.365 * [backup-simplify]: Simplify (sqrt 1) into 1
0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.367 * [taylor]: Taking taylor expansion of re in re
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.367 * [backup-simplify]: Simplify (- 1) into -1
0.368 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (- 0) into 0
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.370 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify (- 0) into 0
0.371 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.371 * [backup-simplify]: Simplify (sqrt 0) into 0
0.372 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.372 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.372 * [taylor]: Taking taylor expansion of 0 in im
0.372 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.373 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.373 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.373 * [taylor]: Taking taylor expansion of +nan.0 in im
0.373 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.373 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.373 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.373 * [taylor]: Taking taylor expansion of 2.0 in im
0.379 * [backup-simplify]: Simplify 2.0 into 2.0
0.379 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.380 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.380 * [taylor]: Taking taylor expansion of im in im
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.380 * [backup-simplify]: Simplify (* 1 1) into 1
0.381 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.383 * [backup-simplify]: Simplify (- 0) into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (- 0) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.387 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.388 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
0.388 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.388 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.388 * [taylor]: Taking taylor expansion of +nan.0 in im
0.388 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.388 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.388 * [taylor]: Taking taylor expansion of 2.0 in im
0.388 * [backup-simplify]: Simplify 2.0 into 2.0
0.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.389 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.389 * [taylor]: Taking taylor expansion of im in im
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (* 1 1) into 1
0.389 * [backup-simplify]: Simplify (* 1 1) into 1
0.390 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.391 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.397 * [backup-simplify]: Simplify (- 0) into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.400 * [backup-simplify]: Simplify (- 0) into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.403 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (- 0) into 0
0.403 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.404 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
0.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.406 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.406 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.406 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.406 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.406 * [taylor]: Taking taylor expansion of +nan.0 in im
0.406 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.406 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.406 * [taylor]: Taking taylor expansion of 2.0 in im
0.406 * [backup-simplify]: Simplify 2.0 into 2.0
0.406 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.407 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.407 * [taylor]: Taking taylor expansion of im in im
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify 1 into 1
0.407 * [backup-simplify]: Simplify (* 1 1) into 1
0.407 * [backup-simplify]: Simplify (* 1 1) into 1
0.408 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.408 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.408 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.408 * [taylor]: Taking taylor expansion of +nan.0 in im
0.408 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.408 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.408 * [taylor]: Taking taylor expansion of 2.0 in im
0.408 * [backup-simplify]: Simplify 2.0 into 2.0
0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.409 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.409 * [taylor]: Taking taylor expansion of im in im
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.409 * [backup-simplify]: Simplify (* 1 1) into 1
0.409 * [backup-simplify]: Simplify (* 1 1) into 1
0.409 * [backup-simplify]: Simplify (* 1 1) into 1
0.410 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.432 * [backup-simplify]: Simplify (- 0) into 0
0.433 * [backup-simplify]: Simplify (+ 0 0) into 0
0.433 * [backup-simplify]: Simplify (- 0) into 0
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * * * [progress]: simplifying candidates
0.434 * [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 (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (* (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))
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
0.434 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0))
 (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (exp (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))
 (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (* (* (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3))
 (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0)))
 (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0))
 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)
 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)
 (* (exp (* h0 h0)) (exp (* h1 h1)))
 (log (+ (* h0 h0) (* h1 h1)))
 (exp (+ (* h0 h0) (* h1 h1)))
 (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))
 (cbrt (+ (* h0 h0) (* h1 h1)))
 (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))
 (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))
 (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))
 (- (* h0 h0) (* h1 h1))
 (log (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
 (exp (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
 (* (cbrt (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (cbrt (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))))
 (cbrt (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
 (* (* (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
 (sqrt h2)
 (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (sqrt (* h2 (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3))))
 (sqrt (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
 (sqrt (* h2 (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0))))
 (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (/ 1 2)
 (/ 1 2)
 (sqrt (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
 (sqrt (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
 h1
 h0
 (* -1 h0)
 (+ h0 h1)
 (* 2 h0)
 0
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (- (+ (* h3 (* (sqrt h2) (pow h0 2))) (- (+ (* h3 (* (sqrt h2) h1)) (- (* h3 (* (sqrt h2) h0)))))))
 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (* h3 (/ (sqrt h2) h0)))))))
 0
0.439 * * [simplify]: iteration  0 :  274  enodes  (cost  428 )
0.444 * * [simplify]: iteration  1 :  986  enodes  (cost  391 )
0.459 * * [simplify]: iteration  2 :  3089  enodes  (cost  381 )
0.519 * * [simplify]: iteration  3 :  5002  enodes  (cost  379 )
0.521 * * * [progress]: adding candidates to table
0.707 * * [progress]: iteration 2 / 4
0.707 * * * [progress]: picking best candidate
0.722 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.722 * * * [progress]: localizing error
0.742 * * * [progress]: generating rewritten candidates
0.742 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 1)
0.750 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
0.758 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2 1)
0.767 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2)
0.802 * * * [progress]: generating series expansions
0.802 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 1)
0.802 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.802 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.802 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.802 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.802 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.802 * [taylor]: Taking taylor expansion of re in im
0.802 * [backup-simplify]: Simplify re into re
0.802 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.802 * [taylor]: Taking taylor expansion of im in im
0.802 * [backup-simplify]: Simplify 0 into 0
0.802 * [backup-simplify]: Simplify 1 into 1
0.802 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.802 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.802 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.802 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.803 * [backup-simplify]: Simplify (+ 0 0) into 0
0.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.803 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.803 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.803 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.803 * [taylor]: Taking taylor expansion of re in re
0.803 * [backup-simplify]: Simplify 0 into 0
0.803 * [backup-simplify]: Simplify 1 into 1
0.803 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.803 * [taylor]: Taking taylor expansion of im in re
0.803 * [backup-simplify]: Simplify im into im
0.803 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.803 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.804 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.804 * [backup-simplify]: Simplify (+ 0 0) into 0
0.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.804 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.804 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.804 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.804 * [taylor]: Taking taylor expansion of re in re
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 1 into 1
0.804 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.804 * [taylor]: Taking taylor expansion of im in re
0.804 * [backup-simplify]: Simplify im into im
0.804 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.804 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.804 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.805 * [backup-simplify]: Simplify (+ 0 0) into 0
0.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.805 * [taylor]: Taking taylor expansion of im in im
0.805 * [backup-simplify]: Simplify 0 into 0
0.805 * [backup-simplify]: Simplify 1 into 1
0.805 * [backup-simplify]: Simplify 0 into 0
0.805 * [taylor]: Taking taylor expansion of 0 in im
0.805 * [backup-simplify]: Simplify 0 into 0
0.805 * [backup-simplify]: Simplify 0 into 0
0.805 * [backup-simplify]: Simplify 1 into 1
0.805 * [backup-simplify]: Simplify (* 1 1) into 1
0.806 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.806 * [backup-simplify]: Simplify (+ 1 0) into 1
0.806 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.806 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.806 * [taylor]: Taking taylor expansion of 1/2 in im
0.806 * [backup-simplify]: Simplify 1/2 into 1/2
0.806 * [taylor]: Taking taylor expansion of im in im
0.806 * [backup-simplify]: Simplify 0 into 0
0.807 * [backup-simplify]: Simplify 1 into 1
0.807 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.807 * [backup-simplify]: Simplify 0 into 0
0.807 * [backup-simplify]: Simplify 0 into 0
0.807 * [backup-simplify]: Simplify 0 into 0
0.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.808 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.808 * [backup-simplify]: Simplify (+ 0 0) into 0
0.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.809 * [taylor]: Taking taylor expansion of 0 in im
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.810 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.810 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.810 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.810 * [taylor]: Taking taylor expansion of im in im
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 1 into 1
0.810 * [backup-simplify]: Simplify (* 1 1) into 1
0.810 * [backup-simplify]: Simplify (/ 1 1) into 1
0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.810 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.810 * [taylor]: Taking taylor expansion of re in im
0.810 * [backup-simplify]: Simplify re into re
0.810 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.810 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.811 * [backup-simplify]: Simplify (+ 1 0) into 1
0.811 * [backup-simplify]: Simplify (sqrt 1) into 1
0.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.812 * [backup-simplify]: Simplify (+ 0 0) into 0
0.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.813 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.813 * [taylor]: Taking taylor expansion of im in re
0.813 * [backup-simplify]: Simplify im into im
0.813 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.813 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.813 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.813 * [taylor]: Taking taylor expansion of re in re
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 1 into 1
0.813 * [backup-simplify]: Simplify (* 1 1) into 1
0.813 * [backup-simplify]: Simplify (/ 1 1) into 1
0.814 * [backup-simplify]: Simplify (+ 0 1) into 1
0.814 * [backup-simplify]: Simplify (sqrt 1) into 1
0.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.815 * [backup-simplify]: Simplify (+ 0 0) into 0
0.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.815 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.815 * [taylor]: Taking taylor expansion of im in re
0.815 * [backup-simplify]: Simplify im into im
0.815 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.815 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.816 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.816 * [taylor]: Taking taylor expansion of re in re
0.816 * [backup-simplify]: Simplify 0 into 0
0.816 * [backup-simplify]: Simplify 1 into 1
0.816 * [backup-simplify]: Simplify (* 1 1) into 1
0.816 * [backup-simplify]: Simplify (/ 1 1) into 1
0.816 * [backup-simplify]: Simplify (+ 0 1) into 1
0.817 * [backup-simplify]: Simplify (sqrt 1) into 1
0.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.818 * [backup-simplify]: Simplify (+ 0 0) into 0
0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.818 * [taylor]: Taking taylor expansion of 1 in im
0.818 * [backup-simplify]: Simplify 1 into 1
0.818 * [taylor]: Taking taylor expansion of 0 in im
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 1 into 1
0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.819 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.820 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.820 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.820 * [taylor]: Taking taylor expansion of 1/2 in im
0.820 * [backup-simplify]: Simplify 1/2 into 1/2
0.820 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.820 * [taylor]: Taking taylor expansion of im in im
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 1 into 1
0.821 * [backup-simplify]: Simplify (* 1 1) into 1
0.821 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.824 * [backup-simplify]: Simplify (+ 0 0) into 0
0.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.824 * [taylor]: Taking taylor expansion of 0 in im
0.824 * [backup-simplify]: Simplify 0 into 0
0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.826 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.826 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.826 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.826 * [taylor]: Taking taylor expansion of im in im
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify 1 into 1
0.826 * [backup-simplify]: Simplify (* 1 1) into 1
0.827 * [backup-simplify]: Simplify (/ 1 1) into 1
0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.827 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.827 * [taylor]: Taking taylor expansion of re in im
0.827 * [backup-simplify]: Simplify re into re
0.827 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.827 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.827 * [backup-simplify]: Simplify (+ 1 0) into 1
0.827 * [backup-simplify]: Simplify (sqrt 1) into 1
0.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.828 * [backup-simplify]: Simplify (+ 0 0) into 0
0.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.829 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.829 * [taylor]: Taking taylor expansion of im in re
0.829 * [backup-simplify]: Simplify im into im
0.829 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.829 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.829 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.829 * [taylor]: Taking taylor expansion of re in re
0.829 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify 1 into 1
0.829 * [backup-simplify]: Simplify (* 1 1) into 1
0.830 * [backup-simplify]: Simplify (/ 1 1) into 1
0.830 * [backup-simplify]: Simplify (+ 0 1) into 1
0.830 * [backup-simplify]: Simplify (sqrt 1) into 1
0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.831 * [backup-simplify]: Simplify (+ 0 0) into 0
0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.832 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.832 * [taylor]: Taking taylor expansion of im in re
0.832 * [backup-simplify]: Simplify im into im
0.832 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.832 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.832 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.832 * [taylor]: Taking taylor expansion of re in re
0.832 * [backup-simplify]: Simplify 0 into 0
0.832 * [backup-simplify]: Simplify 1 into 1
0.832 * [backup-simplify]: Simplify (* 1 1) into 1
0.832 * [backup-simplify]: Simplify (/ 1 1) into 1
0.833 * [backup-simplify]: Simplify (+ 0 1) into 1
0.833 * [backup-simplify]: Simplify (sqrt 1) into 1
0.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.834 * [backup-simplify]: Simplify (+ 0 0) into 0
0.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.834 * [taylor]: Taking taylor expansion of 1 in im
0.834 * [backup-simplify]: Simplify 1 into 1
0.834 * [taylor]: Taking taylor expansion of 0 in im
0.834 * [backup-simplify]: Simplify 0 into 0
0.834 * [backup-simplify]: Simplify 1 into 1
0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.836 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.836 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.836 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.836 * [taylor]: Taking taylor expansion of 1/2 in im
0.837 * [backup-simplify]: Simplify 1/2 into 1/2
0.837 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.837 * [taylor]: Taking taylor expansion of im in im
0.837 * [backup-simplify]: Simplify 0 into 0
0.837 * [backup-simplify]: Simplify 1 into 1
0.837 * [backup-simplify]: Simplify (* 1 1) into 1
0.837 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.838 * [backup-simplify]: Simplify 0 into 0
0.838 * [backup-simplify]: Simplify 0 into 0
0.838 * [backup-simplify]: Simplify 0 into 0
0.838 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.840 * [backup-simplify]: Simplify (+ 0 0) into 0
0.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.840 * [taylor]: Taking taylor expansion of 0 in im
0.840 * [backup-simplify]: Simplify 0 into 0
0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.841 * [backup-simplify]: Simplify 0 into 0
0.841 * [backup-simplify]: Simplify 0 into 0
0.841 * [backup-simplify]: Simplify 0 into 0
0.841 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.841 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1)
0.842 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.842 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.842 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.842 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.842 * [taylor]: Taking taylor expansion of re in im
0.842 * [backup-simplify]: Simplify re into re
0.842 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.842 * [taylor]: Taking taylor expansion of im in im
0.842 * [backup-simplify]: Simplify 0 into 0
0.842 * [backup-simplify]: Simplify 1 into 1
0.842 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.842 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.842 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.842 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.842 * [backup-simplify]: Simplify (+ 0 0) into 0
0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.842 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.842 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.842 * [taylor]: Taking taylor expansion of re in re
0.842 * [backup-simplify]: Simplify 0 into 0
0.842 * [backup-simplify]: Simplify 1 into 1
0.842 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.842 * [taylor]: Taking taylor expansion of im in re
0.842 * [backup-simplify]: Simplify im into im
0.843 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.843 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.843 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.843 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.843 * [backup-simplify]: Simplify (+ 0 0) into 0
0.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.843 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.843 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.843 * [taylor]: Taking taylor expansion of re in re
0.843 * [backup-simplify]: Simplify 0 into 0
0.843 * [backup-simplify]: Simplify 1 into 1
0.843 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.843 * [taylor]: Taking taylor expansion of im in re
0.843 * [backup-simplify]: Simplify im into im
0.843 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.843 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.844 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.844 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.844 * [backup-simplify]: Simplify (+ 0 0) into 0
0.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.844 * [taylor]: Taking taylor expansion of im in im
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 1 into 1
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [taylor]: Taking taylor expansion of 0 in im
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 1 into 1
0.844 * [backup-simplify]: Simplify (* 1 1) into 1
0.845 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.845 * [backup-simplify]: Simplify (+ 1 0) into 1
0.845 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.845 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.845 * [taylor]: Taking taylor expansion of 1/2 in im
0.845 * [backup-simplify]: Simplify 1/2 into 1/2
0.845 * [taylor]: Taking taylor expansion of im in im
0.845 * [backup-simplify]: Simplify 0 into 0
0.845 * [backup-simplify]: Simplify 1 into 1
0.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.846 * [backup-simplify]: Simplify 0 into 0
0.846 * [backup-simplify]: Simplify 0 into 0
0.846 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.847 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.847 * [backup-simplify]: Simplify (+ 0 0) into 0
0.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.848 * [taylor]: Taking taylor expansion of 0 in im
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.848 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.848 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.849 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.849 * [taylor]: Taking taylor expansion of im in im
0.849 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify 1 into 1
0.849 * [backup-simplify]: Simplify (* 1 1) into 1
0.849 * [backup-simplify]: Simplify (/ 1 1) into 1
0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.849 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.849 * [taylor]: Taking taylor expansion of re in im
0.849 * [backup-simplify]: Simplify re into re
0.849 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.849 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.850 * [backup-simplify]: Simplify (+ 1 0) into 1
0.850 * [backup-simplify]: Simplify (sqrt 1) into 1
0.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.851 * [backup-simplify]: Simplify (+ 0 0) into 0
0.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.851 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.851 * [taylor]: Taking taylor expansion of im in re
0.851 * [backup-simplify]: Simplify im into im
0.851 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.852 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.852 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.852 * [taylor]: Taking taylor expansion of re in re
0.852 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify 1 into 1
0.852 * [backup-simplify]: Simplify (* 1 1) into 1
0.852 * [backup-simplify]: Simplify (/ 1 1) into 1
0.852 * [backup-simplify]: Simplify (+ 0 1) into 1
0.853 * [backup-simplify]: Simplify (sqrt 1) into 1
0.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.854 * [backup-simplify]: Simplify (+ 0 0) into 0
0.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.854 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.854 * [taylor]: Taking taylor expansion of im in re
0.854 * [backup-simplify]: Simplify im into im
0.854 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.854 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.854 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.854 * [taylor]: Taking taylor expansion of re in re
0.854 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify 1 into 1
0.855 * [backup-simplify]: Simplify (* 1 1) into 1
0.855 * [backup-simplify]: Simplify (/ 1 1) into 1
0.855 * [backup-simplify]: Simplify (+ 0 1) into 1
0.855 * [backup-simplify]: Simplify (sqrt 1) into 1
0.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.856 * [backup-simplify]: Simplify (+ 0 0) into 0
0.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.857 * [taylor]: Taking taylor expansion of 1 in im
0.857 * [backup-simplify]: Simplify 1 into 1
0.857 * [taylor]: Taking taylor expansion of 0 in im
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 1 into 1
0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.858 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.859 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.859 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.859 * [taylor]: Taking taylor expansion of 1/2 in im
0.859 * [backup-simplify]: Simplify 1/2 into 1/2
0.859 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.859 * [taylor]: Taking taylor expansion of im in im
0.859 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify 1 into 1
0.859 * [backup-simplify]: Simplify (* 1 1) into 1
0.859 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.862 * [backup-simplify]: Simplify (+ 0 0) into 0
0.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.862 * [taylor]: Taking taylor expansion of 0 in im
0.862 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.864 * [backup-simplify]: Simplify 0 into 0
0.864 * [backup-simplify]: Simplify 0 into 0
0.864 * [backup-simplify]: Simplify 0 into 0
0.864 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.864 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.864 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.864 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.864 * [taylor]: Taking taylor expansion of im in im
0.864 * [backup-simplify]: Simplify 0 into 0
0.864 * [backup-simplify]: Simplify 1 into 1
0.864 * [backup-simplify]: Simplify (* 1 1) into 1
0.865 * [backup-simplify]: Simplify (/ 1 1) into 1
0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.865 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.865 * [taylor]: Taking taylor expansion of re in im
0.865 * [backup-simplify]: Simplify re into re
0.865 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.865 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.865 * [backup-simplify]: Simplify (+ 1 0) into 1
0.865 * [backup-simplify]: Simplify (sqrt 1) into 1
0.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.866 * [backup-simplify]: Simplify (+ 0 0) into 0
0.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.867 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.867 * [taylor]: Taking taylor expansion of im in re
0.867 * [backup-simplify]: Simplify im into im
0.867 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.867 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.867 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.867 * [taylor]: Taking taylor expansion of re in re
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 1 into 1
0.867 * [backup-simplify]: Simplify (* 1 1) into 1
0.868 * [backup-simplify]: Simplify (/ 1 1) into 1
0.868 * [backup-simplify]: Simplify (+ 0 1) into 1
0.868 * [backup-simplify]: Simplify (sqrt 1) into 1
0.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.869 * [backup-simplify]: Simplify (+ 0 0) into 0
0.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.870 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.870 * [taylor]: Taking taylor expansion of im in re
0.870 * [backup-simplify]: Simplify im into im
0.870 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.870 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.870 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.870 * [taylor]: Taking taylor expansion of re in re
0.870 * [backup-simplify]: Simplify 0 into 0
0.870 * [backup-simplify]: Simplify 1 into 1
0.870 * [backup-simplify]: Simplify (* 1 1) into 1
0.870 * [backup-simplify]: Simplify (/ 1 1) into 1
0.871 * [backup-simplify]: Simplify (+ 0 1) into 1
0.871 * [backup-simplify]: Simplify (sqrt 1) into 1
0.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.872 * [backup-simplify]: Simplify (+ 0 0) into 0
0.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.872 * [taylor]: Taking taylor expansion of 1 in im
0.872 * [backup-simplify]: Simplify 1 into 1
0.872 * [taylor]: Taking taylor expansion of 0 in im
0.872 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify 1 into 1
0.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.874 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.874 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.874 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.874 * [taylor]: Taking taylor expansion of 1/2 in im
0.874 * [backup-simplify]: Simplify 1/2 into 1/2
0.874 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.874 * [taylor]: Taking taylor expansion of im in im
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 1 into 1
0.875 * [backup-simplify]: Simplify (* 1 1) into 1
0.875 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.876 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.877 * [backup-simplify]: Simplify (+ 0 0) into 0
0.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.878 * [taylor]: Taking taylor expansion of 0 in im
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.879 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2 1)
0.879 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.879 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.879 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.879 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.879 * [taylor]: Taking taylor expansion of re in im
0.879 * [backup-simplify]: Simplify re into re
0.879 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.879 * [taylor]: Taking taylor expansion of im in im
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 1 into 1
0.880 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.880 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.880 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.880 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.880 * [backup-simplify]: Simplify (+ 0 0) into 0
0.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.880 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.880 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.880 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.880 * [taylor]: Taking taylor expansion of re in re
0.880 * [backup-simplify]: Simplify 0 into 0
0.880 * [backup-simplify]: Simplify 1 into 1
0.880 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.880 * [taylor]: Taking taylor expansion of im in re
0.880 * [backup-simplify]: Simplify im into im
0.880 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.880 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.881 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.881 * [backup-simplify]: Simplify (+ 0 0) into 0
0.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.881 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.881 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.881 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.881 * [taylor]: Taking taylor expansion of re in re
0.881 * [backup-simplify]: Simplify 0 into 0
0.881 * [backup-simplify]: Simplify 1 into 1
0.881 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.881 * [taylor]: Taking taylor expansion of im in re
0.881 * [backup-simplify]: Simplify im into im
0.881 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.881 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.882 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.882 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.882 * [backup-simplify]: Simplify (+ 0 0) into 0
0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.882 * [taylor]: Taking taylor expansion of im in im
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 1 into 1
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [taylor]: Taking taylor expansion of 0 in im
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 1 into 1
0.882 * [backup-simplify]: Simplify (* 1 1) into 1
0.883 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.883 * [backup-simplify]: Simplify (+ 1 0) into 1
0.883 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.883 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.884 * [taylor]: Taking taylor expansion of 1/2 in im
0.884 * [backup-simplify]: Simplify 1/2 into 1/2
0.884 * [taylor]: Taking taylor expansion of im in im
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify 1 into 1
0.884 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.885 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.885 * [backup-simplify]: Simplify (+ 0 0) into 0
0.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.886 * [taylor]: Taking taylor expansion of 0 in im
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.887 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.887 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.887 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.887 * [taylor]: Taking taylor expansion of im in im
0.887 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify 1 into 1
0.887 * [backup-simplify]: Simplify (* 1 1) into 1
0.887 * [backup-simplify]: Simplify (/ 1 1) into 1
0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.887 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.887 * [taylor]: Taking taylor expansion of re in im
0.887 * [backup-simplify]: Simplify re into re
0.887 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.887 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.888 * [backup-simplify]: Simplify (+ 1 0) into 1
0.888 * [backup-simplify]: Simplify (sqrt 1) into 1
0.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.889 * [backup-simplify]: Simplify (+ 0 0) into 0
0.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.889 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.889 * [taylor]: Taking taylor expansion of im in re
0.889 * [backup-simplify]: Simplify im into im
0.889 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.890 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.890 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.890 * [taylor]: Taking taylor expansion of re in re
0.890 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify 1 into 1
0.890 * [backup-simplify]: Simplify (* 1 1) into 1
0.890 * [backup-simplify]: Simplify (/ 1 1) into 1
0.890 * [backup-simplify]: Simplify (+ 0 1) into 1
0.891 * [backup-simplify]: Simplify (sqrt 1) into 1
0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.892 * [backup-simplify]: Simplify (+ 0 0) into 0
0.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.892 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.892 * [taylor]: Taking taylor expansion of im in re
0.892 * [backup-simplify]: Simplify im into im
0.892 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.892 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.892 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.892 * [taylor]: Taking taylor expansion of re in re
0.892 * [backup-simplify]: Simplify 0 into 0
0.892 * [backup-simplify]: Simplify 1 into 1
0.893 * [backup-simplify]: Simplify (* 1 1) into 1
0.893 * [backup-simplify]: Simplify (/ 1 1) into 1
0.898 * [backup-simplify]: Simplify (+ 0 1) into 1
0.899 * [backup-simplify]: Simplify (sqrt 1) into 1
0.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.900 * [backup-simplify]: Simplify (+ 0 0) into 0
0.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.900 * [taylor]: Taking taylor expansion of 1 in im
0.900 * [backup-simplify]: Simplify 1 into 1
0.900 * [taylor]: Taking taylor expansion of 0 in im
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [backup-simplify]: Simplify 1 into 1
0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.902 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.902 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.902 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.902 * [taylor]: Taking taylor expansion of 1/2 in im
0.902 * [backup-simplify]: Simplify 1/2 into 1/2
0.902 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.903 * [taylor]: Taking taylor expansion of im in im
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify 1 into 1
0.903 * [backup-simplify]: Simplify (* 1 1) into 1
0.903 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.906 * [backup-simplify]: Simplify (+ 0 0) into 0
0.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.906 * [taylor]: Taking taylor expansion of 0 in im
0.906 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.907 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.907 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.908 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.908 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.908 * [taylor]: Taking taylor expansion of im in im
0.908 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify 1 into 1
0.908 * [backup-simplify]: Simplify (* 1 1) into 1
0.908 * [backup-simplify]: Simplify (/ 1 1) into 1
0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.908 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.908 * [taylor]: Taking taylor expansion of re in im
0.908 * [backup-simplify]: Simplify re into re
0.908 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.908 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.909 * [backup-simplify]: Simplify (+ 1 0) into 1
0.909 * [backup-simplify]: Simplify (sqrt 1) into 1
0.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.910 * [backup-simplify]: Simplify (+ 0 0) into 0
0.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.910 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.910 * [taylor]: Taking taylor expansion of im in re
0.910 * [backup-simplify]: Simplify im into im
0.910 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.911 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.911 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.911 * [taylor]: Taking taylor expansion of re in re
0.911 * [backup-simplify]: Simplify 0 into 0
0.911 * [backup-simplify]: Simplify 1 into 1
0.911 * [backup-simplify]: Simplify (* 1 1) into 1
0.911 * [backup-simplify]: Simplify (/ 1 1) into 1
0.911 * [backup-simplify]: Simplify (+ 0 1) into 1
0.912 * [backup-simplify]: Simplify (sqrt 1) into 1
0.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.913 * [backup-simplify]: Simplify (+ 0 0) into 0
0.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.913 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.913 * [taylor]: Taking taylor expansion of im in re
0.913 * [backup-simplify]: Simplify im into im
0.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.913 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.913 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.913 * [taylor]: Taking taylor expansion of re in re
0.913 * [backup-simplify]: Simplify 0 into 0
0.913 * [backup-simplify]: Simplify 1 into 1
0.914 * [backup-simplify]: Simplify (* 1 1) into 1
0.914 * [backup-simplify]: Simplify (/ 1 1) into 1
0.914 * [backup-simplify]: Simplify (+ 0 1) into 1
0.914 * [backup-simplify]: Simplify (sqrt 1) into 1
0.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.915 * [backup-simplify]: Simplify (+ 0 0) into 0
0.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.916 * [taylor]: Taking taylor expansion of 1 in im
0.916 * [backup-simplify]: Simplify 1 into 1
0.916 * [taylor]: Taking taylor expansion of 0 in im
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify 1 into 1
0.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.917 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.918 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.918 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.918 * [taylor]: Taking taylor expansion of 1/2 in im
0.918 * [backup-simplify]: Simplify 1/2 into 1/2
0.918 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.918 * [taylor]: Taking taylor expansion of im in im
0.918 * [backup-simplify]: Simplify 0 into 0
0.918 * [backup-simplify]: Simplify 1 into 1
0.918 * [backup-simplify]: Simplify (* 1 1) into 1
0.919 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.921 * [backup-simplify]: Simplify (+ 0 0) into 0
0.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.922 * [taylor]: Taking taylor expansion of 0 in im
0.922 * [backup-simplify]: Simplify 0 into 0
0.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.923 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2)
0.923 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.923 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.923 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.923 * [taylor]: Taking taylor expansion of re in im
0.923 * [backup-simplify]: Simplify re into re
0.923 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.923 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.923 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.923 * [taylor]: Taking taylor expansion of re in im
0.923 * [backup-simplify]: Simplify re into re
0.923 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.924 * [taylor]: Taking taylor expansion of im in im
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 1 into 1
0.924 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.924 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.924 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.924 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.924 * [backup-simplify]: Simplify (+ 0 0) into 0
0.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.924 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.924 * [taylor]: Taking taylor expansion of re in re
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 1 into 1
0.924 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.924 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.924 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.924 * [taylor]: Taking taylor expansion of re in re
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 1 into 1
0.924 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.924 * [taylor]: Taking taylor expansion of im in re
0.924 * [backup-simplify]: Simplify im into im
0.924 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.925 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.925 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.925 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.925 * [backup-simplify]: Simplify (+ 0 0) into 0
0.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.925 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.925 * [taylor]: Taking taylor expansion of re in re
0.925 * [backup-simplify]: Simplify 0 into 0
0.925 * [backup-simplify]: Simplify 1 into 1
0.925 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.925 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.925 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.925 * [taylor]: Taking taylor expansion of re in re
0.925 * [backup-simplify]: Simplify 0 into 0
0.925 * [backup-simplify]: Simplify 1 into 1
0.925 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.925 * [taylor]: Taking taylor expansion of im in re
0.925 * [backup-simplify]: Simplify im into im
0.925 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.925 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.925 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.926 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.926 * [backup-simplify]: Simplify (+ 0 0) into 0
0.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.926 * [backup-simplify]: Simplify (+ 0 im) into im
0.926 * [taylor]: Taking taylor expansion of im in im
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 1 into 1
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify (+ 1 0) into 1
0.926 * [taylor]: Taking taylor expansion of 1 in im
0.926 * [backup-simplify]: Simplify 1 into 1
0.926 * [backup-simplify]: Simplify 1 into 1
0.926 * [backup-simplify]: Simplify 1 into 1
0.927 * [backup-simplify]: Simplify (* 1 1) into 1
0.927 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.927 * [backup-simplify]: Simplify (+ 1 0) into 1
0.928 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.928 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.928 * [taylor]: Taking taylor expansion of 1/2 in im
0.928 * [backup-simplify]: Simplify 1/2 into 1/2
0.928 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.928 * [taylor]: Taking taylor expansion of im in im
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 1 into 1
0.928 * [backup-simplify]: Simplify (/ 1 1) into 1
0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.930 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.930 * [backup-simplify]: Simplify (+ 0 0) into 0
0.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.930 * [backup-simplify]: Simplify (+ 0 0) into 0
0.930 * [taylor]: Taking taylor expansion of 0 in im
0.930 * [backup-simplify]: Simplify 0 into 0
0.930 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.932 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.932 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.932 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.932 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.932 * [taylor]: Taking taylor expansion of re in im
0.932 * [backup-simplify]: Simplify re into re
0.932 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.932 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.932 * [taylor]: Taking taylor expansion of im in im
0.932 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify 1 into 1
0.933 * [backup-simplify]: Simplify (* 1 1) into 1
0.933 * [backup-simplify]: Simplify (/ 1 1) into 1
0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.933 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.933 * [taylor]: Taking taylor expansion of re in im
0.933 * [backup-simplify]: Simplify re into re
0.933 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.933 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.933 * [backup-simplify]: Simplify (+ 1 0) into 1
0.934 * [backup-simplify]: Simplify (sqrt 1) into 1
0.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.935 * [backup-simplify]: Simplify (+ 0 0) into 0
0.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.935 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.935 * [taylor]: Taking taylor expansion of re in re
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify 1 into 1
0.935 * [backup-simplify]: Simplify (/ 1 1) into 1
0.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.936 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.936 * [taylor]: Taking taylor expansion of im in re
0.936 * [backup-simplify]: Simplify im into im
0.936 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.936 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.936 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.936 * [taylor]: Taking taylor expansion of re in re
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify 1 into 1
0.936 * [backup-simplify]: Simplify (* 1 1) into 1
0.936 * [backup-simplify]: Simplify (/ 1 1) into 1
0.937 * [backup-simplify]: Simplify (+ 0 1) into 1
0.937 * [backup-simplify]: Simplify (sqrt 1) into 1
0.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.938 * [backup-simplify]: Simplify (+ 0 0) into 0
0.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.938 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.938 * [taylor]: Taking taylor expansion of re in re
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify 1 into 1
0.939 * [backup-simplify]: Simplify (/ 1 1) into 1
0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.939 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.939 * [taylor]: Taking taylor expansion of im in re
0.939 * [backup-simplify]: Simplify im into im
0.939 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.939 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.939 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.939 * [taylor]: Taking taylor expansion of re in re
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify 1 into 1
0.939 * [backup-simplify]: Simplify (* 1 1) into 1
0.939 * [backup-simplify]: Simplify (/ 1 1) into 1
0.940 * [backup-simplify]: Simplify (+ 0 1) into 1
0.940 * [backup-simplify]: Simplify (sqrt 1) into 1
0.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.941 * [backup-simplify]: Simplify (+ 0 0) into 0
0.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.942 * [backup-simplify]: Simplify (+ 1 1) into 2
0.942 * [taylor]: Taking taylor expansion of 2 in im
0.942 * [backup-simplify]: Simplify 2 into 2
0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.942 * [backup-simplify]: Simplify (+ 0 0) into 0
0.942 * [taylor]: Taking taylor expansion of 0 in im
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 2 into 2
0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.944 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.945 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.945 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.945 * [taylor]: Taking taylor expansion of 1/2 in im
0.945 * [backup-simplify]: Simplify 1/2 into 1/2
0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.945 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.945 * [taylor]: Taking taylor expansion of im in im
0.945 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify 1 into 1
0.945 * [backup-simplify]: Simplify (* 1 1) into 1
0.946 * [backup-simplify]: Simplify (/ 1 1) into 1
0.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.948 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.949 * [backup-simplify]: Simplify (+ 0 0) into 0
0.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.950 * [backup-simplify]: Simplify (+ 0 0) into 0
0.950 * [taylor]: Taking taylor expansion of 0 in im
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.951 * [backup-simplify]: Simplify 0 into 0
0.951 * [backup-simplify]: Simplify 0 into 0
0.951 * [backup-simplify]: Simplify 0 into 0
0.951 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.952 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.952 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.952 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.952 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.952 * [taylor]: Taking taylor expansion of im in im
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify 1 into 1
0.952 * [backup-simplify]: Simplify (* 1 1) into 1
0.952 * [backup-simplify]: Simplify (/ 1 1) into 1
0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.952 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.952 * [taylor]: Taking taylor expansion of re in im
0.952 * [backup-simplify]: Simplify re into re
0.952 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.953 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.953 * [backup-simplify]: Simplify (+ 1 0) into 1
0.953 * [backup-simplify]: Simplify (sqrt 1) into 1
0.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.954 * [backup-simplify]: Simplify (+ 0 0) into 0
0.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.955 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.955 * [taylor]: Taking taylor expansion of re in im
0.955 * [backup-simplify]: Simplify re into re
0.955 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.955 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.955 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.955 * [taylor]: Taking taylor expansion of im in re
0.955 * [backup-simplify]: Simplify im into im
0.955 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.955 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.955 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.955 * [taylor]: Taking taylor expansion of re in re
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 1 into 1
0.955 * [backup-simplify]: Simplify (* 1 1) into 1
0.955 * [backup-simplify]: Simplify (/ 1 1) into 1
0.956 * [backup-simplify]: Simplify (+ 0 1) into 1
0.956 * [backup-simplify]: Simplify (sqrt 1) into 1
0.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.957 * [backup-simplify]: Simplify (+ 0 0) into 0
0.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.957 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.957 * [taylor]: Taking taylor expansion of re in re
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify 1 into 1
0.958 * [backup-simplify]: Simplify (/ 1 1) into 1
0.958 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.958 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.958 * [taylor]: Taking taylor expansion of im in re
0.958 * [backup-simplify]: Simplify im into im
0.958 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.958 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.958 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.958 * [taylor]: Taking taylor expansion of re in re
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify 1 into 1
0.958 * [backup-simplify]: Simplify (* 1 1) into 1
0.958 * [backup-simplify]: Simplify (/ 1 1) into 1
0.959 * [backup-simplify]: Simplify (+ 0 1) into 1
0.959 * [backup-simplify]: Simplify (sqrt 1) into 1
0.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.960 * [backup-simplify]: Simplify (+ 0 0) into 0
0.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.960 * [taylor]: Taking taylor expansion of re in re
0.960 * [backup-simplify]: Simplify 0 into 0
0.960 * [backup-simplify]: Simplify 1 into 1
0.961 * [backup-simplify]: Simplify (/ 1 1) into 1
0.961 * [backup-simplify]: Simplify (- 1) into -1
0.961 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.961 * [taylor]: Taking taylor expansion of 0 in im
0.961 * [backup-simplify]: Simplify 0 into 0
0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.962 * [backup-simplify]: Simplify (- 0) into 0
0.962 * [backup-simplify]: Simplify (+ 0 0) into 0
0.962 * [taylor]: Taking taylor expansion of 0 in im
0.962 * [backup-simplify]: Simplify 0 into 0
0.962 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.963 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.964 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.965 * [backup-simplify]: Simplify (- 0) into 0
0.965 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.965 * [taylor]: Taking taylor expansion of 1/2 in im
0.965 * [backup-simplify]: Simplify 1/2 into 1/2
0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.965 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.965 * [taylor]: Taking taylor expansion of im in im
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [backup-simplify]: Simplify 1 into 1
0.965 * [backup-simplify]: Simplify (* 1 1) into 1
0.966 * [backup-simplify]: Simplify (/ 1 1) into 1
0.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.967 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.969 * [backup-simplify]: Simplify (+ 0 0) into 0
0.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.970 * [backup-simplify]: Simplify (- 0) into 0
0.970 * [backup-simplify]: Simplify (+ 0 0) into 0
0.970 * [taylor]: Taking taylor expansion of 0 in im
0.970 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * * * [progress]: simplifying candidates
0.973 * [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))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
0.973 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0))
 (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (exp (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))
 (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (* (* (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3))
 (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0)))
 (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0))
 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)
 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)
 h1
 h0
 (* -1 h0)
 h1
 h0
 (* -1 h0)
 h1
 h0
 (* -1 h0)
 (+ h0 h1)
 (* 2 h0)
 0
0.977 * * [simplify]: iteration  0 :  141  enodes  (cost  392 )
0.979 * * [simplify]: iteration  1 :  358  enodes  (cost  380 )
0.986 * * [simplify]: iteration  2 :  866  enodes  (cost  376 )
1.002 * * [simplify]: iteration  3 :  2557  enodes  (cost  375 )
1.051 * * [simplify]: iteration  4 :  5001  enodes  (cost  375 )
1.053 * * * [progress]: adding candidates to table
1.353 * * [progress]: iteration 3 / 4
1.353 * * * [progress]: picking best candidate
1.365 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
1.365 * * * [progress]: localizing error
1.378 * * * [progress]: generating rewritten candidates
1.379 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
1.387 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
1.395 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
1.429 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
1.492 * * * [progress]: generating series expansions
1.492 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
1.492 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.492 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.492 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.492 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.492 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.492 * [taylor]: Taking taylor expansion of re in im
1.492 * [backup-simplify]: Simplify re into re
1.492 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.492 * [taylor]: Taking taylor expansion of im in im
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify 1 into 1
1.492 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.493 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.493 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.493 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.493 * [backup-simplify]: Simplify (+ 0 0) into 0
1.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.493 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.493 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.494 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.494 * [taylor]: Taking taylor expansion of re in re
1.494 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify 1 into 1
1.494 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.494 * [taylor]: Taking taylor expansion of im in re
1.494 * [backup-simplify]: Simplify im into im
1.494 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.494 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.494 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.494 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.494 * [backup-simplify]: Simplify (+ 0 0) into 0
1.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.494 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.494 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.494 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.494 * [taylor]: Taking taylor expansion of re in re
1.494 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify 1 into 1
1.494 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.495 * [taylor]: Taking taylor expansion of im in re
1.495 * [backup-simplify]: Simplify im into im
1.495 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.495 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.495 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.495 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.495 * [backup-simplify]: Simplify (+ 0 0) into 0
1.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.495 * [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 0 into 0
1.495 * [taylor]: Taking taylor expansion of 0 in im
1.495 * [backup-simplify]: Simplify 0 into 0
1.495 * [backup-simplify]: Simplify 0 into 0
1.495 * [backup-simplify]: Simplify 1 into 1
1.496 * [backup-simplify]: Simplify (* 1 1) into 1
1.496 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.496 * [backup-simplify]: Simplify (+ 1 0) into 1
1.497 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.497 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.497 * [taylor]: Taking taylor expansion of 1/2 in im
1.497 * [backup-simplify]: Simplify 1/2 into 1/2
1.497 * [taylor]: Taking taylor expansion of im in im
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 1 into 1
1.497 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.499 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.499 * [backup-simplify]: Simplify (+ 0 0) into 0
1.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.499 * [taylor]: Taking taylor expansion of 0 in im
1.499 * [backup-simplify]: Simplify 0 into 0
1.499 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.500 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.500 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.500 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.500 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.500 * [taylor]: Taking taylor expansion of im in im
1.500 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify 1 into 1
1.501 * [backup-simplify]: Simplify (* 1 1) into 1
1.501 * [backup-simplify]: Simplify (/ 1 1) into 1
1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.501 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.501 * [taylor]: Taking taylor expansion of re in im
1.501 * [backup-simplify]: Simplify re into re
1.501 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.501 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.501 * [backup-simplify]: Simplify (+ 1 0) into 1
1.502 * [backup-simplify]: Simplify (sqrt 1) into 1
1.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.503 * [backup-simplify]: Simplify (+ 0 0) into 0
1.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.503 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.503 * [taylor]: Taking taylor expansion of im in re
1.503 * [backup-simplify]: Simplify im into im
1.503 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.504 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.504 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.504 * [taylor]: Taking taylor expansion of re in re
1.504 * [backup-simplify]: Simplify 0 into 0
1.504 * [backup-simplify]: Simplify 1 into 1
1.504 * [backup-simplify]: Simplify (* 1 1) into 1
1.504 * [backup-simplify]: Simplify (/ 1 1) into 1
1.504 * [backup-simplify]: Simplify (+ 0 1) into 1
1.505 * [backup-simplify]: Simplify (sqrt 1) into 1
1.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.506 * [backup-simplify]: Simplify (+ 0 0) into 0
1.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.506 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.506 * [taylor]: Taking taylor expansion of im in re
1.506 * [backup-simplify]: Simplify im into im
1.506 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.506 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.506 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.506 * [taylor]: Taking taylor expansion of re in re
1.506 * [backup-simplify]: Simplify 0 into 0
1.506 * [backup-simplify]: Simplify 1 into 1
1.507 * [backup-simplify]: Simplify (* 1 1) into 1
1.507 * [backup-simplify]: Simplify (/ 1 1) into 1
1.507 * [backup-simplify]: Simplify (+ 0 1) into 1
1.507 * [backup-simplify]: Simplify (sqrt 1) into 1
1.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.508 * [backup-simplify]: Simplify (+ 0 0) into 0
1.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.509 * [taylor]: Taking taylor expansion of 1 in im
1.509 * [backup-simplify]: Simplify 1 into 1
1.509 * [taylor]: Taking taylor expansion of 0 in im
1.509 * [backup-simplify]: Simplify 0 into 0
1.509 * [backup-simplify]: Simplify 1 into 1
1.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.510 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.511 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.511 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.511 * [taylor]: Taking taylor expansion of 1/2 in im
1.511 * [backup-simplify]: Simplify 1/2 into 1/2
1.511 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.511 * [taylor]: Taking taylor expansion of im in im
1.511 * [backup-simplify]: Simplify 0 into 0
1.511 * [backup-simplify]: Simplify 1 into 1
1.511 * [backup-simplify]: Simplify (* 1 1) into 1
1.511 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.512 * [backup-simplify]: Simplify 0 into 0
1.512 * [backup-simplify]: Simplify 0 into 0
1.512 * [backup-simplify]: Simplify 0 into 0
1.512 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.514 * [backup-simplify]: Simplify (+ 0 0) into 0
1.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.514 * [taylor]: Taking taylor expansion of 0 in im
1.514 * [backup-simplify]: Simplify 0 into 0
1.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.516 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.516 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
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
1.516 * [backup-simplify]: Simplify (* 1 1) into 1
1.517 * [backup-simplify]: Simplify (/ 1 1) into 1
1.517 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.517 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.517 * [taylor]: Taking taylor expansion of re in im
1.517 * [backup-simplify]: Simplify re into re
1.517 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.517 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.517 * [backup-simplify]: Simplify (+ 1 0) into 1
1.517 * [backup-simplify]: Simplify (sqrt 1) into 1
1.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.518 * [backup-simplify]: Simplify (+ 0 0) into 0
1.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.519 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.519 * [taylor]: Taking taylor expansion of im in re
1.519 * [backup-simplify]: Simplify im into im
1.519 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.519 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.519 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.519 * [taylor]: Taking taylor expansion of re in re
1.519 * [backup-simplify]: Simplify 0 into 0
1.519 * [backup-simplify]: Simplify 1 into 1
1.519 * [backup-simplify]: Simplify (* 1 1) into 1
1.519 * [backup-simplify]: Simplify (/ 1 1) into 1
1.520 * [backup-simplify]: Simplify (+ 0 1) into 1
1.520 * [backup-simplify]: Simplify (sqrt 1) into 1
1.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.521 * [backup-simplify]: Simplify (+ 0 0) into 0
1.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.521 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.521 * [taylor]: Taking taylor expansion of im in re
1.522 * [backup-simplify]: Simplify im into im
1.522 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.522 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.522 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.522 * [taylor]: Taking taylor expansion of re in re
1.522 * [backup-simplify]: Simplify 0 into 0
1.522 * [backup-simplify]: Simplify 1 into 1
1.522 * [backup-simplify]: Simplify (* 1 1) into 1
1.522 * [backup-simplify]: Simplify (/ 1 1) into 1
1.522 * [backup-simplify]: Simplify (+ 0 1) into 1
1.523 * [backup-simplify]: Simplify (sqrt 1) into 1
1.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.524 * [backup-simplify]: Simplify (+ 0 0) into 0
1.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.524 * [taylor]: Taking taylor expansion of 1 in im
1.524 * [backup-simplify]: Simplify 1 into 1
1.524 * [taylor]: Taking taylor expansion of 0 in im
1.524 * [backup-simplify]: Simplify 0 into 0
1.524 * [backup-simplify]: Simplify 1 into 1
1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.525 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.526 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.526 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.526 * [taylor]: Taking taylor expansion of 1/2 in im
1.526 * [backup-simplify]: Simplify 1/2 into 1/2
1.526 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.526 * [taylor]: Taking taylor expansion of im in im
1.526 * [backup-simplify]: Simplify 0 into 0
1.526 * [backup-simplify]: Simplify 1 into 1
1.527 * [backup-simplify]: Simplify (* 1 1) into 1
1.527 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.529 * [backup-simplify]: Simplify (+ 0 0) into 0
1.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.530 * [taylor]: Taking taylor expansion of 0 in im
1.530 * [backup-simplify]: Simplify 0 into 0
1.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.531 * [backup-simplify]: Simplify 0 into 0
1.531 * [backup-simplify]: Simplify 0 into 0
1.531 * [backup-simplify]: Simplify 0 into 0
1.531 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.531 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
1.531 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.531 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.531 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.531 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.531 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.531 * [taylor]: Taking taylor expansion of re in im
1.531 * [backup-simplify]: Simplify re into re
1.531 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.531 * [taylor]: Taking taylor expansion of im in im
1.531 * [backup-simplify]: Simplify 0 into 0
1.531 * [backup-simplify]: Simplify 1 into 1
1.531 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.532 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.532 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.532 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.532 * [backup-simplify]: Simplify (+ 0 0) into 0
1.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.532 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.532 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.532 * [taylor]: Taking taylor expansion of re in re
1.532 * [backup-simplify]: Simplify 0 into 0
1.532 * [backup-simplify]: Simplify 1 into 1
1.532 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.532 * [taylor]: Taking taylor expansion of im in re
1.532 * [backup-simplify]: Simplify im into im
1.532 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.532 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.532 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.532 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.533 * [backup-simplify]: Simplify (+ 0 0) into 0
1.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.533 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.533 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.533 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.533 * [taylor]: Taking taylor expansion of re in re
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [backup-simplify]: Simplify 1 into 1
1.533 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.533 * [taylor]: Taking taylor expansion of im in re
1.533 * [backup-simplify]: Simplify im into im
1.533 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.533 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.533 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.533 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.533 * [backup-simplify]: Simplify (+ 0 0) into 0
1.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.534 * [taylor]: Taking taylor expansion of im in im
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 1 into 1
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [taylor]: Taking taylor expansion of 0 in im
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 1 into 1
1.534 * [backup-simplify]: Simplify (* 1 1) into 1
1.534 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.535 * [backup-simplify]: Simplify (+ 1 0) into 1
1.535 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.535 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.535 * [taylor]: Taking taylor expansion of 1/2 in im
1.535 * [backup-simplify]: Simplify 1/2 into 1/2
1.535 * [taylor]: Taking taylor expansion of im in im
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 1 into 1
1.535 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.537 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.537 * [backup-simplify]: Simplify (+ 0 0) into 0
1.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.537 * [taylor]: Taking taylor expansion of 0 in im
1.537 * [backup-simplify]: Simplify 0 into 0
1.537 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.538 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.538 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.538 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.538 * [taylor]: Taking taylor expansion of im in im
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify 1 into 1
1.538 * [backup-simplify]: Simplify (* 1 1) into 1
1.539 * [backup-simplify]: Simplify (/ 1 1) into 1
1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.539 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.539 * [taylor]: Taking taylor expansion of re in im
1.539 * [backup-simplify]: Simplify re into re
1.539 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.539 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.539 * [backup-simplify]: Simplify (+ 1 0) into 1
1.539 * [backup-simplify]: Simplify (sqrt 1) into 1
1.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.540 * [backup-simplify]: Simplify (+ 0 0) into 0
1.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 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
1.541 * [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
1.542 * [backup-simplify]: Simplify (sqrt 1) into 1
1.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.543 * [backup-simplify]: Simplify (+ 0 0) into 0
1.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.544 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.544 * [taylor]: Taking taylor expansion of im in re
1.544 * [backup-simplify]: Simplify im into im
1.544 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.544 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.544 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.544 * [taylor]: Taking taylor expansion of re in re
1.544 * [backup-simplify]: Simplify 0 into 0
1.544 * [backup-simplify]: Simplify 1 into 1
1.544 * [backup-simplify]: Simplify (* 1 1) into 1
1.544 * [backup-simplify]: Simplify (/ 1 1) into 1
1.545 * [backup-simplify]: Simplify (+ 0 1) into 1
1.545 * [backup-simplify]: Simplify (sqrt 1) into 1
1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.546 * [backup-simplify]: Simplify (+ 0 0) into 0
1.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.546 * [taylor]: Taking taylor expansion of 1 in im
1.546 * [backup-simplify]: Simplify 1 into 1
1.546 * [taylor]: Taking taylor expansion of 0 in im
1.546 * [backup-simplify]: Simplify 0 into 0
1.546 * [backup-simplify]: Simplify 1 into 1
1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.548 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.548 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.548 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.548 * [taylor]: Taking taylor expansion of 1/2 in im
1.548 * [backup-simplify]: Simplify 1/2 into 1/2
1.548 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.548 * [taylor]: Taking taylor expansion of im in im
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify 1 into 1
1.549 * [backup-simplify]: Simplify (* 1 1) into 1
1.549 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.550 * [backup-simplify]: Simplify 0 into 0
1.550 * [backup-simplify]: Simplify 0 into 0
1.550 * [backup-simplify]: Simplify 0 into 0
1.550 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.551 * [backup-simplify]: Simplify (+ 0 0) into 0
1.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.552 * [taylor]: Taking taylor expansion of 0 in im
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.553 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.553 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.554 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.554 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.554 * [taylor]: Taking taylor expansion of im in im
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [backup-simplify]: Simplify 1 into 1
1.554 * [backup-simplify]: Simplify (* 1 1) into 1
1.554 * [backup-simplify]: Simplify (/ 1 1) into 1
1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.554 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.554 * [taylor]: Taking taylor expansion of re in im
1.554 * [backup-simplify]: Simplify re into re
1.554 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.554 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.555 * [backup-simplify]: Simplify (+ 1 0) into 1
1.555 * [backup-simplify]: Simplify (sqrt 1) into 1
1.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.556 * [backup-simplify]: Simplify (+ 0 0) into 0
1.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.556 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.556 * [taylor]: Taking taylor expansion of im in re
1.556 * [backup-simplify]: Simplify im into im
1.556 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.557 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.557 * [taylor]: Taking taylor expansion of re in re
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [backup-simplify]: Simplify 1 into 1
1.557 * [backup-simplify]: Simplify (* 1 1) into 1
1.557 * [backup-simplify]: Simplify (/ 1 1) into 1
1.557 * [backup-simplify]: Simplify (+ 0 1) into 1
1.558 * [backup-simplify]: Simplify (sqrt 1) into 1
1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.559 * [backup-simplify]: Simplify (+ 0 0) into 0
1.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.559 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.559 * [taylor]: Taking taylor expansion of im in re
1.559 * [backup-simplify]: Simplify im into im
1.559 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.559 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.559 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.559 * [taylor]: Taking taylor expansion of re in re
1.559 * [backup-simplify]: Simplify 0 into 0
1.559 * [backup-simplify]: Simplify 1 into 1
1.560 * [backup-simplify]: Simplify (* 1 1) into 1
1.560 * [backup-simplify]: Simplify (/ 1 1) into 1
1.560 * [backup-simplify]: Simplify (+ 0 1) into 1
1.560 * [backup-simplify]: Simplify (sqrt 1) into 1
1.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.561 * [backup-simplify]: Simplify (+ 0 0) into 0
1.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.562 * [taylor]: Taking taylor expansion of 1 in im
1.562 * [backup-simplify]: Simplify 1 into 1
1.562 * [taylor]: Taking taylor expansion of 0 in im
1.562 * [backup-simplify]: Simplify 0 into 0
1.562 * [backup-simplify]: Simplify 1 into 1
1.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.563 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.564 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.564 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.564 * [taylor]: Taking taylor expansion of 1/2 in im
1.564 * [backup-simplify]: Simplify 1/2 into 1/2
1.564 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.564 * [taylor]: Taking taylor expansion of im in im
1.564 * [backup-simplify]: Simplify 0 into 0
1.564 * [backup-simplify]: Simplify 1 into 1
1.564 * [backup-simplify]: Simplify (* 1 1) into 1
1.564 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.565 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.567 * [backup-simplify]: Simplify (+ 0 0) into 0
1.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.573 * [taylor]: Taking taylor expansion of 0 in im
1.573 * [backup-simplify]: Simplify 0 into 0
1.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.574 * [backup-simplify]: Simplify 0 into 0
1.574 * [backup-simplify]: Simplify 0 into 0
1.574 * [backup-simplify]: Simplify 0 into 0
1.574 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.574 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
1.574 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
1.574 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
1.574 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
1.575 * [taylor]: Taking taylor expansion of re in im
1.575 * [backup-simplify]: Simplify re into re
1.575 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.575 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.575 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.575 * [taylor]: Taking taylor expansion of re in im
1.575 * [backup-simplify]: Simplify re into re
1.575 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.575 * [taylor]: Taking taylor expansion of im in im
1.575 * [backup-simplify]: Simplify 0 into 0
1.575 * [backup-simplify]: Simplify 1 into 1
1.575 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.575 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.575 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.575 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.575 * [backup-simplify]: Simplify (+ 0 0) into 0
1.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.575 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
1.575 * [taylor]: Taking taylor expansion of re in re
1.575 * [backup-simplify]: Simplify 0 into 0
1.575 * [backup-simplify]: Simplify 1 into 1
1.575 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.575 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.575 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.576 * [taylor]: Taking taylor expansion of re in re
1.576 * [backup-simplify]: Simplify 0 into 0
1.576 * [backup-simplify]: Simplify 1 into 1
1.576 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.576 * [taylor]: Taking taylor expansion of im in re
1.576 * [backup-simplify]: Simplify im into im
1.576 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.576 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.576 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.576 * [backup-simplify]: Simplify (+ 0 0) into 0
1.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.576 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
1.576 * [taylor]: Taking taylor expansion of re in re
1.576 * [backup-simplify]: Simplify 0 into 0
1.576 * [backup-simplify]: Simplify 1 into 1
1.576 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.576 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.576 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.576 * [taylor]: Taking taylor expansion of re in re
1.576 * [backup-simplify]: Simplify 0 into 0
1.576 * [backup-simplify]: Simplify 1 into 1
1.576 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.576 * [taylor]: Taking taylor expansion of im in re
1.576 * [backup-simplify]: Simplify im into im
1.577 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.577 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.577 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.577 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.577 * [backup-simplify]: Simplify (+ 0 0) into 0
1.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.577 * [backup-simplify]: Simplify (+ 0 im) into im
1.577 * [taylor]: Taking taylor expansion of im in im
1.577 * [backup-simplify]: Simplify 0 into 0
1.577 * [backup-simplify]: Simplify 1 into 1
1.577 * [backup-simplify]: Simplify 0 into 0
1.578 * [backup-simplify]: Simplify (+ 1 0) into 1
1.578 * [taylor]: Taking taylor expansion of 1 in im
1.578 * [backup-simplify]: Simplify 1 into 1
1.578 * [backup-simplify]: Simplify 1 into 1
1.578 * [backup-simplify]: Simplify 1 into 1
1.578 * [backup-simplify]: Simplify (* 1 1) into 1
1.578 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.578 * [backup-simplify]: Simplify (+ 1 0) into 1
1.579 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.579 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
1.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
1.579 * [taylor]: Taking taylor expansion of 1/2 in im
1.579 * [backup-simplify]: Simplify 1/2 into 1/2
1.579 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.579 * [taylor]: Taking taylor expansion of im in im
1.579 * [backup-simplify]: Simplify 0 into 0
1.579 * [backup-simplify]: Simplify 1 into 1
1.579 * [backup-simplify]: Simplify (/ 1 1) into 1
1.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify 0 into 0
1.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.581 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.581 * [backup-simplify]: Simplify (+ 0 0) into 0
1.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.582 * [backup-simplify]: Simplify (+ 0 0) into 0
1.582 * [taylor]: Taking taylor expansion of 0 in im
1.582 * [backup-simplify]: Simplify 0 into 0
1.582 * [backup-simplify]: Simplify 0 into 0
1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.583 * [backup-simplify]: Simplify 0 into 0
1.583 * [backup-simplify]: Simplify 0 into 0
1.583 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
1.583 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
1.583 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
1.583 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
1.583 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.583 * [taylor]: Taking taylor expansion of re in im
1.583 * [backup-simplify]: Simplify re into re
1.583 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.583 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.583 * [taylor]: Taking taylor expansion of im in im
1.583 * [backup-simplify]: Simplify 0 into 0
1.584 * [backup-simplify]: Simplify 1 into 1
1.584 * [backup-simplify]: Simplify (* 1 1) into 1
1.584 * [backup-simplify]: Simplify (/ 1 1) into 1
1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.584 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.584 * [taylor]: Taking taylor expansion of re in im
1.584 * [backup-simplify]: Simplify re into re
1.584 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.584 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.584 * [backup-simplify]: Simplify (+ 1 0) into 1
1.585 * [backup-simplify]: Simplify (sqrt 1) into 1
1.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.586 * [backup-simplify]: Simplify (+ 0 0) into 0
1.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.586 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.586 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.586 * [taylor]: Taking taylor expansion of re in re
1.586 * [backup-simplify]: Simplify 0 into 0
1.586 * [backup-simplify]: Simplify 1 into 1
1.586 * [backup-simplify]: Simplify (/ 1 1) into 1
1.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.587 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.587 * [taylor]: Taking taylor expansion of im in re
1.587 * [backup-simplify]: Simplify im into im
1.587 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.587 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.587 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.587 * [taylor]: Taking taylor expansion of re in re
1.587 * [backup-simplify]: Simplify 0 into 0
1.587 * [backup-simplify]: Simplify 1 into 1
1.587 * [backup-simplify]: Simplify (* 1 1) into 1
1.587 * [backup-simplify]: Simplify (/ 1 1) into 1
1.588 * [backup-simplify]: Simplify (+ 0 1) into 1
1.588 * [backup-simplify]: Simplify (sqrt 1) into 1
1.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.589 * [backup-simplify]: Simplify (+ 0 0) into 0
1.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.589 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.589 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.589 * [taylor]: Taking taylor expansion of re in re
1.589 * [backup-simplify]: Simplify 0 into 0
1.589 * [backup-simplify]: Simplify 1 into 1
1.589 * [backup-simplify]: Simplify (/ 1 1) into 1
1.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.590 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.590 * [taylor]: Taking taylor expansion of im in re
1.590 * [backup-simplify]: Simplify im into im
1.590 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.590 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.590 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.590 * [taylor]: Taking taylor expansion of re in re
1.590 * [backup-simplify]: Simplify 0 into 0
1.590 * [backup-simplify]: Simplify 1 into 1
1.590 * [backup-simplify]: Simplify (* 1 1) into 1
1.590 * [backup-simplify]: Simplify (/ 1 1) into 1
1.591 * [backup-simplify]: Simplify (+ 0 1) into 1
1.591 * [backup-simplify]: Simplify (sqrt 1) into 1
1.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.592 * [backup-simplify]: Simplify (+ 0 0) into 0
1.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.593 * [backup-simplify]: Simplify (+ 1 1) into 2
1.593 * [taylor]: Taking taylor expansion of 2 in im
1.593 * [backup-simplify]: Simplify 2 into 2
1.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.593 * [backup-simplify]: Simplify (+ 0 0) into 0
1.593 * [taylor]: Taking taylor expansion of 0 in im
1.593 * [backup-simplify]: Simplify 0 into 0
1.593 * [backup-simplify]: Simplify 2 into 2
1.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.595 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.596 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.596 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
1.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.596 * [taylor]: Taking taylor expansion of 1/2 in im
1.596 * [backup-simplify]: Simplify 1/2 into 1/2
1.596 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.596 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.596 * [taylor]: Taking taylor expansion of im in im
1.596 * [backup-simplify]: Simplify 0 into 0
1.596 * [backup-simplify]: Simplify 1 into 1
1.596 * [backup-simplify]: Simplify (* 1 1) into 1
1.597 * [backup-simplify]: Simplify (/ 1 1) into 1
1.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.598 * [backup-simplify]: Simplify 0 into 0
1.598 * [backup-simplify]: Simplify 0 into 0
1.598 * [backup-simplify]: Simplify 0 into 0
1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.599 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.600 * [backup-simplify]: Simplify (+ 0 0) into 0
1.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.601 * [backup-simplify]: Simplify (+ 0 0) into 0
1.601 * [taylor]: Taking taylor expansion of 0 in im
1.601 * [backup-simplify]: Simplify 0 into 0
1.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.602 * [backup-simplify]: Simplify 0 into 0
1.602 * [backup-simplify]: Simplify 0 into 0
1.602 * [backup-simplify]: Simplify 0 into 0
1.602 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
1.603 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
1.603 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
1.603 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
1.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.603 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.603 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.603 * [taylor]: Taking taylor expansion of im in im
1.603 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify 1 into 1
1.603 * [backup-simplify]: Simplify (* 1 1) into 1
1.604 * [backup-simplify]: Simplify (/ 1 1) into 1
1.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.604 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.604 * [taylor]: Taking taylor expansion of re in im
1.604 * [backup-simplify]: Simplify re into re
1.604 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.604 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.604 * [backup-simplify]: Simplify (+ 1 0) into 1
1.605 * [backup-simplify]: Simplify (sqrt 1) into 1
1.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.606 * [backup-simplify]: Simplify (+ 0 0) into 0
1.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.606 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.606 * [taylor]: Taking taylor expansion of re in im
1.606 * [backup-simplify]: Simplify re into re
1.606 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.606 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
1.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.606 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.606 * [taylor]: Taking taylor expansion of im in re
1.606 * [backup-simplify]: Simplify im into im
1.606 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.606 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.606 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.606 * [taylor]: Taking taylor expansion of re in re
1.606 * [backup-simplify]: Simplify 0 into 0
1.606 * [backup-simplify]: Simplify 1 into 1
1.607 * [backup-simplify]: Simplify (* 1 1) into 1
1.607 * [backup-simplify]: Simplify (/ 1 1) into 1
1.607 * [backup-simplify]: Simplify (+ 0 1) into 1
1.607 * [backup-simplify]: Simplify (sqrt 1) into 1
1.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.608 * [backup-simplify]: Simplify (+ 0 0) into 0
1.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.609 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.609 * [taylor]: Taking taylor expansion of re in re
1.609 * [backup-simplify]: Simplify 0 into 0
1.609 * [backup-simplify]: Simplify 1 into 1
1.609 * [backup-simplify]: Simplify (/ 1 1) into 1
1.609 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
1.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.609 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.609 * [taylor]: Taking taylor expansion of im in re
1.609 * [backup-simplify]: Simplify im into im
1.609 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.609 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.609 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.609 * [taylor]: Taking taylor expansion of re in re
1.610 * [backup-simplify]: Simplify 0 into 0
1.610 * [backup-simplify]: Simplify 1 into 1
1.610 * [backup-simplify]: Simplify (* 1 1) into 1
1.610 * [backup-simplify]: Simplify (/ 1 1) into 1
1.610 * [backup-simplify]: Simplify (+ 0 1) into 1
1.610 * [backup-simplify]: Simplify (sqrt 1) into 1
1.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.611 * [backup-simplify]: Simplify (+ 0 0) into 0
1.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.612 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.612 * [taylor]: Taking taylor expansion of re in re
1.612 * [backup-simplify]: Simplify 0 into 0
1.612 * [backup-simplify]: Simplify 1 into 1
1.612 * [backup-simplify]: Simplify (/ 1 1) into 1
1.612 * [backup-simplify]: Simplify (- 1) into -1
1.613 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.613 * [taylor]: Taking taylor expansion of 0 in im
1.613 * [backup-simplify]: Simplify 0 into 0
1.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.613 * [backup-simplify]: Simplify (- 0) into 0
1.614 * [backup-simplify]: Simplify (+ 0 0) into 0
1.614 * [taylor]: Taking taylor expansion of 0 in im
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.615 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.616 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.616 * [backup-simplify]: Simplify (- 0) into 0
1.617 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.617 * [taylor]: Taking taylor expansion of 1/2 in im
1.617 * [backup-simplify]: Simplify 1/2 into 1/2
1.617 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.617 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.617 * [taylor]: Taking taylor expansion of im in im
1.617 * [backup-simplify]: Simplify 0 into 0
1.617 * [backup-simplify]: Simplify 1 into 1
1.617 * [backup-simplify]: Simplify (* 1 1) into 1
1.617 * [backup-simplify]: Simplify (/ 1 1) into 1
1.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.618 * [backup-simplify]: Simplify 0 into 0
1.618 * [backup-simplify]: Simplify 0 into 0
1.618 * [backup-simplify]: Simplify 0 into 0
1.619 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.620 * [backup-simplify]: Simplify (+ 0 0) into 0
1.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.621 * [backup-simplify]: Simplify (- 0) into 0
1.621 * [backup-simplify]: Simplify (+ 0 0) into 0
1.621 * [taylor]: Taking taylor expansion of 0 in im
1.621 * [backup-simplify]: Simplify 0 into 0
1.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.623 * [backup-simplify]: Simplify 0 into 0
1.623 * [backup-simplify]: Simplify 0 into 0
1.623 * [backup-simplify]: Simplify 0 into 0
1.623 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
1.623 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
1.623 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.623 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.623 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.623 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.623 * [taylor]: Taking taylor expansion of re in im
1.623 * [backup-simplify]: Simplify re into re
1.624 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.624 * [taylor]: Taking taylor expansion of im in im
1.624 * [backup-simplify]: Simplify 0 into 0
1.624 * [backup-simplify]: Simplify 1 into 1
1.624 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.624 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.624 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.624 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.624 * [backup-simplify]: Simplify (+ 0 0) into 0
1.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.624 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.624 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.624 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.624 * [taylor]: Taking taylor expansion of re in re
1.624 * [backup-simplify]: Simplify 0 into 0
1.624 * [backup-simplify]: Simplify 1 into 1
1.624 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.624 * [taylor]: Taking taylor expansion of im in re
1.624 * [backup-simplify]: Simplify im into im
1.624 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.625 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.625 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.625 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.625 * [backup-simplify]: Simplify (+ 0 0) into 0
1.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.625 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.625 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.625 * [taylor]: Taking taylor expansion of re in re
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 1 into 1
1.625 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.625 * [taylor]: Taking taylor expansion of im in re
1.625 * [backup-simplify]: Simplify im into im
1.625 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.625 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.625 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.625 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.626 * [backup-simplify]: Simplify (+ 0 0) into 0
1.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.626 * [taylor]: Taking taylor expansion of im in im
1.626 * [backup-simplify]: Simplify 0 into 0
1.626 * [backup-simplify]: Simplify 1 into 1
1.626 * [backup-simplify]: Simplify 0 into 0
1.626 * [taylor]: Taking taylor expansion of 0 in im
1.626 * [backup-simplify]: Simplify 0 into 0
1.626 * [backup-simplify]: Simplify 0 into 0
1.626 * [backup-simplify]: Simplify 1 into 1
1.626 * [backup-simplify]: Simplify (* 1 1) into 1
1.627 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.627 * [backup-simplify]: Simplify (+ 1 0) into 1
1.627 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.627 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.627 * [taylor]: Taking taylor expansion of 1/2 in im
1.627 * [backup-simplify]: Simplify 1/2 into 1/2
1.627 * [taylor]: Taking taylor expansion of im in im
1.627 * [backup-simplify]: Simplify 0 into 0
1.627 * [backup-simplify]: Simplify 1 into 1
1.628 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.628 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.629 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.629 * [backup-simplify]: Simplify (+ 0 0) into 0
1.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.629 * [taylor]: Taking taylor expansion of 0 in im
1.629 * [backup-simplify]: Simplify 0 into 0
1.629 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.630 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.630 * [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))))
1.630 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.631 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.631 * [taylor]: Taking taylor expansion of im in im
1.631 * [backup-simplify]: Simplify 0 into 0
1.631 * [backup-simplify]: Simplify 1 into 1
1.631 * [backup-simplify]: Simplify (* 1 1) into 1
1.631 * [backup-simplify]: Simplify (/ 1 1) into 1
1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.631 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.631 * [taylor]: Taking taylor expansion of re in im
1.631 * [backup-simplify]: Simplify re into re
1.631 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.631 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.632 * [backup-simplify]: Simplify (+ 1 0) into 1
1.632 * [backup-simplify]: Simplify (sqrt 1) into 1
1.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.633 * [backup-simplify]: Simplify (+ 0 0) into 0
1.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.633 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.633 * [taylor]: Taking taylor expansion of im in re
1.633 * [backup-simplify]: Simplify im into im
1.633 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.633 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.634 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.634 * [taylor]: Taking taylor expansion of re in re
1.634 * [backup-simplify]: Simplify 0 into 0
1.634 * [backup-simplify]: Simplify 1 into 1
1.634 * [backup-simplify]: Simplify (* 1 1) into 1
1.634 * [backup-simplify]: Simplify (/ 1 1) into 1
1.634 * [backup-simplify]: Simplify (+ 0 1) into 1
1.635 * [backup-simplify]: Simplify (sqrt 1) into 1
1.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.636 * [backup-simplify]: Simplify (+ 0 0) into 0
1.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.636 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.636 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.636 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.636 * [taylor]: Taking taylor expansion of im in re
1.636 * [backup-simplify]: Simplify im into im
1.636 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.636 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.636 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.636 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.636 * [taylor]: Taking taylor expansion of re in re
1.636 * [backup-simplify]: Simplify 0 into 0
1.636 * [backup-simplify]: Simplify 1 into 1
1.637 * [backup-simplify]: Simplify (* 1 1) into 1
1.637 * [backup-simplify]: Simplify (/ 1 1) into 1
1.637 * [backup-simplify]: Simplify (+ 0 1) into 1
1.637 * [backup-simplify]: Simplify (sqrt 1) into 1
1.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.638 * [backup-simplify]: Simplify (+ 0 0) into 0
1.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.639 * [taylor]: Taking taylor expansion of 1 in im
1.639 * [backup-simplify]: Simplify 1 into 1
1.639 * [taylor]: Taking taylor expansion of 0 in im
1.639 * [backup-simplify]: Simplify 0 into 0
1.639 * [backup-simplify]: Simplify 1 into 1
1.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.640 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.641 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.641 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.641 * [taylor]: Taking taylor expansion of 1/2 in im
1.641 * [backup-simplify]: Simplify 1/2 into 1/2
1.641 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.641 * [taylor]: Taking taylor expansion of im in im
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify 1 into 1
1.641 * [backup-simplify]: Simplify (* 1 1) into 1
1.641 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.644 * [backup-simplify]: Simplify (+ 0 0) into 0
1.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.644 * [taylor]: Taking taylor expansion of 0 in im
1.644 * [backup-simplify]: Simplify 0 into 0
1.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.645 * [backup-simplify]: Simplify 0 into 0
1.645 * [backup-simplify]: Simplify 0 into 0
1.645 * [backup-simplify]: Simplify 0 into 0
1.646 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.646 * [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))))
1.646 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.646 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.646 * [taylor]: Taking taylor expansion of im in im
1.646 * [backup-simplify]: Simplify 0 into 0
1.646 * [backup-simplify]: Simplify 1 into 1
1.646 * [backup-simplify]: Simplify (* 1 1) into 1
1.647 * [backup-simplify]: Simplify (/ 1 1) into 1
1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.647 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.647 * [taylor]: Taking taylor expansion of re in im
1.647 * [backup-simplify]: Simplify re into re
1.647 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.647 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.647 * [backup-simplify]: Simplify (+ 1 0) into 1
1.647 * [backup-simplify]: Simplify (sqrt 1) into 1
1.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.648 * [backup-simplify]: Simplify (+ 0 0) into 0
1.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.649 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.649 * [taylor]: Taking taylor expansion of im in re
1.649 * [backup-simplify]: Simplify im into im
1.649 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.649 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.649 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.649 * [taylor]: Taking taylor expansion of re in re
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [backup-simplify]: Simplify 1 into 1
1.649 * [backup-simplify]: Simplify (* 1 1) into 1
1.650 * [backup-simplify]: Simplify (/ 1 1) into 1
1.650 * [backup-simplify]: Simplify (+ 0 1) into 1
1.650 * [backup-simplify]: Simplify (sqrt 1) into 1
1.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.651 * [backup-simplify]: Simplify (+ 0 0) into 0
1.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.652 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.652 * [taylor]: Taking taylor expansion of im in re
1.652 * [backup-simplify]: Simplify im into im
1.652 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.652 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.652 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.652 * [taylor]: Taking taylor expansion of re in re
1.652 * [backup-simplify]: Simplify 0 into 0
1.652 * [backup-simplify]: Simplify 1 into 1
1.652 * [backup-simplify]: Simplify (* 1 1) into 1
1.652 * [backup-simplify]: Simplify (/ 1 1) into 1
1.653 * [backup-simplify]: Simplify (+ 0 1) into 1
1.653 * [backup-simplify]: Simplify (sqrt 1) into 1
1.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.654 * [backup-simplify]: Simplify (+ 0 0) into 0
1.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.654 * [taylor]: Taking taylor expansion of 1 in im
1.655 * [backup-simplify]: Simplify 1 into 1
1.655 * [taylor]: Taking taylor expansion of 0 in im
1.655 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify 1 into 1
1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.656 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.657 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.657 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.657 * [taylor]: Taking taylor expansion of 1/2 in im
1.657 * [backup-simplify]: Simplify 1/2 into 1/2
1.657 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.657 * [taylor]: Taking taylor expansion of im in im
1.657 * [backup-simplify]: Simplify 0 into 0
1.657 * [backup-simplify]: Simplify 1 into 1
1.657 * [backup-simplify]: Simplify (* 1 1) into 1
1.657 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.660 * [backup-simplify]: Simplify (+ 0 0) into 0
1.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.660 * [taylor]: Taking taylor expansion of 0 in im
1.660 * [backup-simplify]: Simplify 0 into 0
1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.661 * [backup-simplify]: Simplify 0 into 0
1.661 * [backup-simplify]: Simplify 0 into 0
1.661 * [backup-simplify]: Simplify 0 into 0
1.661 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.661 * * * [progress]: simplifying candidates
1.664 * [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))))
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  im
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  im
  re
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1.670 * [simplify]: Sending expressions to egg_math:
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 (* (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))))
 (* (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))))
 (* (* (cbrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))))
 (* (cbrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))))
 (* (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))))
 (* (sqrt (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* 1 1)
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1/2 2))
 (* 2 (/ 1 2))
 (* 2 (/ (/ 1 2) 2))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) 1)
 (* (cbrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))))
 (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))))
 (* (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (* (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 h1
 h0
 (* -1 h0)
 h1
 h0
 (* -1 h0)
 (+ h0 h1)
 (* 2 h0)
 0
 h1
 h0
 (* -1 h0)
1.676 * * [simplify]: iteration  0 :  267  enodes  (cost  1096 )
1.682 * * [simplify]: iteration  1 :  974  enodes  (cost  974 )
1.708 * * [simplify]: iteration  2 :  5001  enodes  (cost  950 )
1.714 * * * [progress]: adding candidates to table
2.001 * * [progress]: iteration 4 / 4
2.001 * * * [progress]: picking best candidate
2.015 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
2.015 * * * [progress]: localizing error
2.037 * * * [progress]: generating rewritten candidates
2.037 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1)
2.045 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1)
2.054 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1)
2.062 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1)
2.072 * * * [progress]: generating series expansions
2.072 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1)
2.072 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.072 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.072 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.072 * [taylor]: Taking taylor expansion of re in im
2.072 * [backup-simplify]: Simplify re into re
2.072 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.072 * [taylor]: Taking taylor expansion of im in im
2.072 * [backup-simplify]: Simplify 0 into 0
2.072 * [backup-simplify]: Simplify 1 into 1
2.072 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.072 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.072 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.072 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.073 * [backup-simplify]: Simplify (+ 0 0) into 0
2.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.073 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.073 * [taylor]: Taking taylor expansion of re in re
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 1 into 1
2.073 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.073 * [taylor]: Taking taylor expansion of im in re
2.073 * [backup-simplify]: Simplify im into im
2.073 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.073 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.073 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.073 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.074 * [backup-simplify]: Simplify (+ 0 0) into 0
2.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.074 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.074 * [taylor]: Taking taylor expansion of re in re
2.074 * [backup-simplify]: Simplify 0 into 0
2.074 * [backup-simplify]: Simplify 1 into 1
2.074 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.074 * [taylor]: Taking taylor expansion of im in re
2.074 * [backup-simplify]: Simplify im into im
2.074 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.074 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.074 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.074 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.075 * [backup-simplify]: Simplify (+ 0 0) into 0
2.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.075 * [taylor]: Taking taylor expansion of im in im
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify 1 into 1
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [taylor]: Taking taylor expansion of 0 in im
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify 1 into 1
2.075 * [backup-simplify]: Simplify (* 1 1) into 1
2.076 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.076 * [backup-simplify]: Simplify (+ 1 0) into 1
2.076 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.076 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.076 * [taylor]: Taking taylor expansion of 1/2 in im
2.076 * [backup-simplify]: Simplify 1/2 into 1/2
2.077 * [taylor]: Taking taylor expansion of im in im
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 1 into 1
2.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.078 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.078 * [backup-simplify]: Simplify (+ 0 0) into 0
2.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.079 * [taylor]: Taking taylor expansion of 0 in im
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.080 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.080 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.080 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.080 * [taylor]: Taking taylor expansion of im in im
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [backup-simplify]: Simplify 1 into 1
2.080 * [backup-simplify]: Simplify (* 1 1) into 1
2.080 * [backup-simplify]: Simplify (/ 1 1) into 1
2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.080 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.080 * [taylor]: Taking taylor expansion of re in im
2.080 * [backup-simplify]: Simplify re into re
2.080 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.080 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.081 * [backup-simplify]: Simplify (+ 1 0) into 1
2.081 * [backup-simplify]: Simplify (sqrt 1) into 1
2.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.082 * [backup-simplify]: Simplify (+ 0 0) into 0
2.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.083 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.083 * [taylor]: Taking taylor expansion of im in re
2.083 * [backup-simplify]: Simplify im into im
2.083 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.083 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.083 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.083 * [taylor]: Taking taylor expansion of re in re
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify 1 into 1
2.083 * [backup-simplify]: Simplify (* 1 1) into 1
2.083 * [backup-simplify]: Simplify (/ 1 1) into 1
2.084 * [backup-simplify]: Simplify (+ 0 1) into 1
2.084 * [backup-simplify]: Simplify (sqrt 1) into 1
2.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.085 * [backup-simplify]: Simplify (+ 0 0) into 0
2.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.085 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.085 * [taylor]: Taking taylor expansion of im in re
2.085 * [backup-simplify]: Simplify im into im
2.085 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.085 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.085 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.085 * [taylor]: Taking taylor expansion of re in re
2.086 * [backup-simplify]: Simplify 0 into 0
2.086 * [backup-simplify]: Simplify 1 into 1
2.086 * [backup-simplify]: Simplify (* 1 1) into 1
2.086 * [backup-simplify]: Simplify (/ 1 1) into 1
2.086 * [backup-simplify]: Simplify (+ 0 1) into 1
2.086 * [backup-simplify]: Simplify (sqrt 1) into 1
2.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.087 * [backup-simplify]: Simplify (+ 0 0) into 0
2.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.088 * [taylor]: Taking taylor expansion of 1 in im
2.088 * [backup-simplify]: Simplify 1 into 1
2.088 * [taylor]: Taking taylor expansion of 0 in im
2.088 * [backup-simplify]: Simplify 0 into 0
2.088 * [backup-simplify]: Simplify 1 into 1
2.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.089 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.090 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.090 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.090 * [taylor]: Taking taylor expansion of 1/2 in im
2.090 * [backup-simplify]: Simplify 1/2 into 1/2
2.090 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.090 * [taylor]: Taking taylor expansion of im in im
2.090 * [backup-simplify]: Simplify 0 into 0
2.090 * [backup-simplify]: Simplify 1 into 1
2.090 * [backup-simplify]: Simplify (* 1 1) into 1
2.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.091 * [backup-simplify]: Simplify 0 into 0
2.092 * [backup-simplify]: Simplify 0 into 0
2.092 * [backup-simplify]: Simplify 0 into 0
2.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.093 * [backup-simplify]: Simplify (+ 0 0) into 0
2.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.094 * [taylor]: Taking taylor expansion of 0 in im
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.095 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.095 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.095 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.095 * [taylor]: Taking taylor expansion of im in im
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify 1 into 1
2.095 * [backup-simplify]: Simplify (* 1 1) into 1
2.096 * [backup-simplify]: Simplify (/ 1 1) into 1
2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.096 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.096 * [taylor]: Taking taylor expansion of re in im
2.096 * [backup-simplify]: Simplify re into re
2.096 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.096 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.096 * [backup-simplify]: Simplify (+ 1 0) into 1
2.096 * [backup-simplify]: Simplify (sqrt 1) into 1
2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.097 * [backup-simplify]: Simplify (+ 0 0) into 0
2.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.098 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.098 * [taylor]: Taking taylor expansion of im in re
2.098 * [backup-simplify]: Simplify im into im
2.098 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.098 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.098 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.098 * [taylor]: Taking taylor expansion of re in re
2.098 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify 1 into 1
2.098 * [backup-simplify]: Simplify (* 1 1) into 1
2.099 * [backup-simplify]: Simplify (/ 1 1) into 1
2.099 * [backup-simplify]: Simplify (+ 0 1) into 1
2.099 * [backup-simplify]: Simplify (sqrt 1) into 1
2.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.100 * [backup-simplify]: Simplify (+ 0 0) into 0
2.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.101 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.101 * [taylor]: Taking taylor expansion of im in re
2.101 * [backup-simplify]: Simplify im into im
2.101 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.101 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.101 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.101 * [taylor]: Taking taylor expansion of re in re
2.101 * [backup-simplify]: Simplify 0 into 0
2.101 * [backup-simplify]: Simplify 1 into 1
2.101 * [backup-simplify]: Simplify (* 1 1) into 1
2.101 * [backup-simplify]: Simplify (/ 1 1) into 1
2.102 * [backup-simplify]: Simplify (+ 0 1) into 1
2.102 * [backup-simplify]: Simplify (sqrt 1) into 1
2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.103 * [backup-simplify]: Simplify (+ 0 0) into 0
2.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.103 * [taylor]: Taking taylor expansion of 1 in im
2.103 * [backup-simplify]: Simplify 1 into 1
2.103 * [taylor]: Taking taylor expansion of 0 in im
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify 1 into 1
2.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.105 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.105 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.105 * [taylor]: Taking taylor expansion of 1/2 in im
2.105 * [backup-simplify]: Simplify 1/2 into 1/2
2.105 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.106 * [taylor]: Taking taylor expansion of im in im
2.106 * [backup-simplify]: Simplify 0 into 0
2.106 * [backup-simplify]: Simplify 1 into 1
2.106 * [backup-simplify]: Simplify (* 1 1) into 1
2.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.108 * [backup-simplify]: Simplify (+ 0 0) into 0
2.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.109 * [taylor]: Taking taylor expansion of 0 in im
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.110 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1)
2.111 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.111 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.111 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.111 * [taylor]: Taking taylor expansion of re in im
2.111 * [backup-simplify]: Simplify re into re
2.111 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.111 * [taylor]: Taking taylor expansion of im in im
2.111 * [backup-simplify]: Simplify 0 into 0
2.111 * [backup-simplify]: Simplify 1 into 1
2.111 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.111 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.111 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.111 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.111 * [backup-simplify]: Simplify (+ 0 0) into 0
2.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.111 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.111 * [taylor]: Taking taylor expansion of re in re
2.111 * [backup-simplify]: Simplify 0 into 0
2.111 * [backup-simplify]: Simplify 1 into 1
2.112 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.112 * [taylor]: Taking taylor expansion of im in re
2.112 * [backup-simplify]: Simplify im into im
2.112 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.112 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.112 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.112 * [backup-simplify]: Simplify (+ 0 0) into 0
2.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.112 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.112 * [taylor]: Taking taylor expansion of re in re
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 1 into 1
2.112 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.112 * [taylor]: Taking taylor expansion of im in re
2.112 * [backup-simplify]: Simplify im into im
2.112 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.112 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.113 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.113 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.117 * [backup-simplify]: Simplify (+ 0 0) into 0
2.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.117 * [taylor]: Taking taylor expansion of im in im
2.117 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify 1 into 1
2.117 * [backup-simplify]: Simplify 0 into 0
2.117 * [taylor]: Taking taylor expansion of 0 in im
2.117 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify 1 into 1
2.118 * [backup-simplify]: Simplify (* 1 1) into 1
2.118 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.118 * [backup-simplify]: Simplify (+ 1 0) into 1
2.119 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.119 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.119 * [taylor]: Taking taylor expansion of 1/2 in im
2.119 * [backup-simplify]: Simplify 1/2 into 1/2
2.119 * [taylor]: Taking taylor expansion of im in im
2.119 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify 1 into 1
2.119 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.121 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.121 * [backup-simplify]: Simplify (+ 0 0) into 0
2.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.121 * [taylor]: Taking taylor expansion of 0 in im
2.121 * [backup-simplify]: Simplify 0 into 0
2.121 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.122 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.122 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.122 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.122 * [taylor]: Taking taylor expansion of im in im
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 1 into 1
2.122 * [backup-simplify]: Simplify (* 1 1) into 1
2.122 * [backup-simplify]: Simplify (/ 1 1) into 1
2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.123 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.123 * [taylor]: Taking taylor expansion of re in im
2.123 * [backup-simplify]: Simplify re into re
2.123 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.123 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.123 * [backup-simplify]: Simplify (+ 1 0) into 1
2.123 * [backup-simplify]: Simplify (sqrt 1) into 1
2.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.124 * [backup-simplify]: Simplify (+ 0 0) into 0
2.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.125 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.125 * [taylor]: Taking taylor expansion of im in re
2.125 * [backup-simplify]: Simplify im into im
2.125 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.125 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.125 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.125 * [taylor]: Taking taylor expansion of re in re
2.125 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify 1 into 1
2.125 * [backup-simplify]: Simplify (* 1 1) into 1
2.125 * [backup-simplify]: Simplify (/ 1 1) into 1
2.126 * [backup-simplify]: Simplify (+ 0 1) into 1
2.126 * [backup-simplify]: Simplify (sqrt 1) into 1
2.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.127 * [backup-simplify]: Simplify (+ 0 0) into 0
2.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.127 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.127 * [taylor]: Taking taylor expansion of im in re
2.127 * [backup-simplify]: Simplify im into im
2.128 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.128 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.128 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.128 * [taylor]: Taking taylor expansion of re in re
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 1 into 1
2.128 * [backup-simplify]: Simplify (* 1 1) into 1
2.128 * [backup-simplify]: Simplify (/ 1 1) into 1
2.128 * [backup-simplify]: Simplify (+ 0 1) into 1
2.129 * [backup-simplify]: Simplify (sqrt 1) into 1
2.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.130 * [backup-simplify]: Simplify (+ 0 0) into 0
2.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.130 * [taylor]: Taking taylor expansion of 1 in im
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [taylor]: Taking taylor expansion of 0 in im
2.130 * [backup-simplify]: Simplify 0 into 0
2.130 * [backup-simplify]: Simplify 1 into 1
2.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.131 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.132 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.132 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.132 * [taylor]: Taking taylor expansion of 1/2 in im
2.132 * [backup-simplify]: Simplify 1/2 into 1/2
2.132 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.132 * [taylor]: Taking taylor expansion of im in im
2.132 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify 1 into 1
2.133 * [backup-simplify]: Simplify (* 1 1) into 1
2.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.135 * [backup-simplify]: Simplify (+ 0 0) into 0
2.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.136 * [taylor]: Taking taylor expansion of 0 in im
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.137 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.137 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.137 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.137 * [taylor]: Taking taylor expansion of im in im
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.138 * [backup-simplify]: Simplify (* 1 1) into 1
2.138 * [backup-simplify]: Simplify (/ 1 1) into 1
2.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.138 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.138 * [taylor]: Taking taylor expansion of re in im
2.138 * [backup-simplify]: Simplify re into re
2.138 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.138 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.138 * [backup-simplify]: Simplify (+ 1 0) into 1
2.138 * [backup-simplify]: Simplify (sqrt 1) into 1
2.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.139 * [backup-simplify]: Simplify (+ 0 0) into 0
2.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.140 * [taylor]: Taking taylor expansion of im in re
2.140 * [backup-simplify]: Simplify im into im
2.140 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.140 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.140 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.140 * [taylor]: Taking taylor expansion of re in re
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 1 into 1
2.140 * [backup-simplify]: Simplify (* 1 1) into 1
2.141 * [backup-simplify]: Simplify (/ 1 1) into 1
2.141 * [backup-simplify]: Simplify (+ 0 1) into 1
2.141 * [backup-simplify]: Simplify (sqrt 1) into 1
2.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.142 * [backup-simplify]: Simplify (+ 0 0) into 0
2.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.143 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.143 * [taylor]: Taking taylor expansion of im in re
2.143 * [backup-simplify]: Simplify im into im
2.143 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.143 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.143 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.143 * [taylor]: Taking taylor expansion of re in re
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify 1 into 1
2.143 * [backup-simplify]: Simplify (* 1 1) into 1
2.143 * [backup-simplify]: Simplify (/ 1 1) into 1
2.144 * [backup-simplify]: Simplify (+ 0 1) into 1
2.144 * [backup-simplify]: Simplify (sqrt 1) into 1
2.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.145 * [backup-simplify]: Simplify (+ 0 0) into 0
2.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.145 * [taylor]: Taking taylor expansion of 1 in im
2.145 * [backup-simplify]: Simplify 1 into 1
2.145 * [taylor]: Taking taylor expansion of 0 in im
2.145 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify 1 into 1
2.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.147 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.147 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.147 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.148 * [taylor]: Taking taylor expansion of 1/2 in im
2.148 * [backup-simplify]: Simplify 1/2 into 1/2
2.148 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.148 * [taylor]: Taking taylor expansion of im in im
2.148 * [backup-simplify]: Simplify 0 into 0
2.148 * [backup-simplify]: Simplify 1 into 1
2.148 * [backup-simplify]: Simplify (* 1 1) into 1
2.148 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.151 * [backup-simplify]: Simplify (+ 0 0) into 0
2.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.151 * [taylor]: Taking taylor expansion of 0 in im
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.152 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1)
2.152 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.152 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.152 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.152 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.152 * [taylor]: Taking taylor expansion of re in im
2.153 * [backup-simplify]: Simplify re into re
2.153 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.153 * [taylor]: Taking taylor expansion of im in im
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 1 into 1
2.153 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.153 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.153 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.153 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.153 * [backup-simplify]: Simplify (+ 0 0) into 0
2.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.153 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.153 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.153 * [taylor]: Taking taylor expansion of re in re
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 1 into 1
2.153 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.153 * [taylor]: Taking taylor expansion of im in re
2.153 * [backup-simplify]: Simplify im into im
2.153 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.154 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.154 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.154 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.154 * [backup-simplify]: Simplify (+ 0 0) into 0
2.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.154 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.154 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.154 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.154 * [taylor]: Taking taylor expansion of re in re
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 1 into 1
2.154 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.154 * [taylor]: Taking taylor expansion of im in re
2.154 * [backup-simplify]: Simplify im into im
2.154 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.154 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.154 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.154 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.155 * [backup-simplify]: Simplify (+ 0 0) into 0
2.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.155 * [taylor]: Taking taylor expansion of im in im
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify 1 into 1
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [taylor]: Taking taylor expansion of 0 in im
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify 1 into 1
2.155 * [backup-simplify]: Simplify (* 1 1) into 1
2.155 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.156 * [backup-simplify]: Simplify (+ 1 0) into 1
2.156 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.156 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.156 * [taylor]: Taking taylor expansion of 1/2 in im
2.156 * [backup-simplify]: Simplify 1/2 into 1/2
2.156 * [taylor]: Taking taylor expansion of im in im
2.156 * [backup-simplify]: Simplify 0 into 0
2.156 * [backup-simplify]: Simplify 1 into 1
2.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.158 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.158 * [backup-simplify]: Simplify (+ 0 0) into 0
2.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.158 * [taylor]: Taking taylor expansion of 0 in im
2.158 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify 0 into 0
2.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.159 * [backup-simplify]: Simplify 0 into 0
2.159 * [backup-simplify]: Simplify 0 into 0
2.159 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.159 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.159 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.159 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.159 * [taylor]: Taking taylor expansion of im in im
2.159 * [backup-simplify]: Simplify 0 into 0
2.159 * [backup-simplify]: Simplify 1 into 1
2.160 * [backup-simplify]: Simplify (* 1 1) into 1
2.160 * [backup-simplify]: Simplify (/ 1 1) into 1
2.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.160 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.160 * [taylor]: Taking taylor expansion of re in im
2.160 * [backup-simplify]: Simplify re into re
2.160 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.160 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.160 * [backup-simplify]: Simplify (+ 1 0) into 1
2.161 * [backup-simplify]: Simplify (sqrt 1) into 1
2.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.162 * [backup-simplify]: Simplify (+ 0 0) into 0
2.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.162 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.162 * [taylor]: Taking taylor expansion of im in re
2.162 * [backup-simplify]: Simplify im into im
2.162 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.163 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.163 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.163 * [taylor]: Taking taylor expansion of re in re
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify 1 into 1
2.163 * [backup-simplify]: Simplify (* 1 1) into 1
2.163 * [backup-simplify]: Simplify (/ 1 1) into 1
2.163 * [backup-simplify]: Simplify (+ 0 1) into 1
2.164 * [backup-simplify]: Simplify (sqrt 1) into 1
2.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.165 * [backup-simplify]: Simplify (+ 0 0) into 0
2.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.165 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.165 * [taylor]: Taking taylor expansion of im in re
2.165 * [backup-simplify]: Simplify im into im
2.165 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.165 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.165 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.165 * [taylor]: Taking taylor expansion of re in re
2.165 * [backup-simplify]: Simplify 0 into 0
2.165 * [backup-simplify]: Simplify 1 into 1
2.166 * [backup-simplify]: Simplify (* 1 1) into 1
2.166 * [backup-simplify]: Simplify (/ 1 1) into 1
2.166 * [backup-simplify]: Simplify (+ 0 1) into 1
2.166 * [backup-simplify]: Simplify (sqrt 1) into 1
2.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.168 * [backup-simplify]: Simplify (+ 0 0) into 0
2.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.168 * [taylor]: Taking taylor expansion of 1 in im
2.168 * [backup-simplify]: Simplify 1 into 1
2.168 * [taylor]: Taking taylor expansion of 0 in im
2.168 * [backup-simplify]: Simplify 0 into 0
2.168 * [backup-simplify]: Simplify 1 into 1
2.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.169 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.170 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.170 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.170 * [taylor]: Taking taylor expansion of 1/2 in im
2.170 * [backup-simplify]: Simplify 1/2 into 1/2
2.170 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.170 * [taylor]: Taking taylor expansion of im in im
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify 1 into 1
2.170 * [backup-simplify]: Simplify (* 1 1) into 1
2.171 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.171 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.173 * [backup-simplify]: Simplify (+ 0 0) into 0
2.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.174 * [taylor]: Taking taylor expansion of 0 in im
2.174 * [backup-simplify]: Simplify 0 into 0
2.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.175 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.175 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.175 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.175 * [taylor]: Taking taylor expansion of im in im
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 1 into 1
2.175 * [backup-simplify]: Simplify (* 1 1) into 1
2.176 * [backup-simplify]: Simplify (/ 1 1) into 1
2.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.176 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.176 * [taylor]: Taking taylor expansion of re in im
2.176 * [backup-simplify]: Simplify re into re
2.176 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.176 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.176 * [backup-simplify]: Simplify (+ 1 0) into 1
2.176 * [backup-simplify]: Simplify (sqrt 1) into 1
2.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.177 * [backup-simplify]: Simplify (+ 0 0) into 0
2.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.178 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.178 * [taylor]: Taking taylor expansion of im in re
2.178 * [backup-simplify]: Simplify im into im
2.178 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.178 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.178 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.178 * [taylor]: Taking taylor expansion of re in re
2.178 * [backup-simplify]: Simplify 0 into 0
2.178 * [backup-simplify]: Simplify 1 into 1
2.178 * [backup-simplify]: Simplify (* 1 1) into 1
2.178 * [backup-simplify]: Simplify (/ 1 1) into 1
2.179 * [backup-simplify]: Simplify (+ 0 1) into 1
2.179 * [backup-simplify]: Simplify (sqrt 1) into 1
2.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.180 * [backup-simplify]: Simplify (+ 0 0) into 0
2.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.180 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.180 * [taylor]: Taking taylor expansion of im in re
2.181 * [backup-simplify]: Simplify im into im
2.181 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.181 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.181 * [taylor]: Taking taylor expansion of re in re
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify 1 into 1
2.181 * [backup-simplify]: Simplify (* 1 1) into 1
2.181 * [backup-simplify]: Simplify (/ 1 1) into 1
2.181 * [backup-simplify]: Simplify (+ 0 1) into 1
2.182 * [backup-simplify]: Simplify (sqrt 1) into 1
2.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.183 * [backup-simplify]: Simplify (+ 0 0) into 0
2.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.183 * [taylor]: Taking taylor expansion of 1 in im
2.183 * [backup-simplify]: Simplify 1 into 1
2.183 * [taylor]: Taking taylor expansion of 0 in im
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify 1 into 1
2.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.184 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.185 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.185 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.185 * [taylor]: Taking taylor expansion of 1/2 in im
2.185 * [backup-simplify]: Simplify 1/2 into 1/2
2.185 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.185 * [taylor]: Taking taylor expansion of im in im
2.185 * [backup-simplify]: Simplify 0 into 0
2.185 * [backup-simplify]: Simplify 1 into 1
2.186 * [backup-simplify]: Simplify (* 1 1) into 1
2.186 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.187 * [backup-simplify]: Simplify 0 into 0
2.187 * [backup-simplify]: Simplify 0 into 0
2.187 * [backup-simplify]: Simplify 0 into 0
2.187 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.188 * [backup-simplify]: Simplify (+ 0 0) into 0
2.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.189 * [taylor]: Taking taylor expansion of 0 in im
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.190 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1)
2.190 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.190 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.190 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.190 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.190 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.190 * [taylor]: Taking taylor expansion of re in im
2.190 * [backup-simplify]: Simplify re into re
2.190 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.190 * [taylor]: Taking taylor expansion of im in im
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify 1 into 1
2.190 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.190 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.191 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.191 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.191 * [backup-simplify]: Simplify (+ 0 0) into 0
2.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.191 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.191 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.191 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.191 * [taylor]: Taking taylor expansion of re in re
2.191 * [backup-simplify]: Simplify 0 into 0
2.191 * [backup-simplify]: Simplify 1 into 1
2.191 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.191 * [taylor]: Taking taylor expansion of im in re
2.191 * [backup-simplify]: Simplify im into im
2.191 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.191 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.191 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.191 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.192 * [backup-simplify]: Simplify (+ 0 0) into 0
2.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.192 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.192 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.192 * [taylor]: Taking taylor expansion of re in re
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 1 into 1
2.192 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.192 * [taylor]: Taking taylor expansion of im in re
2.192 * [backup-simplify]: Simplify im into im
2.192 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.192 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.192 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.192 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.192 * [backup-simplify]: Simplify (+ 0 0) into 0
2.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.193 * [taylor]: Taking taylor expansion of im in im
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 1 into 1
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [taylor]: Taking taylor expansion of 0 in im
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 1 into 1
2.193 * [backup-simplify]: Simplify (* 1 1) into 1
2.193 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.193 * [backup-simplify]: Simplify (+ 1 0) into 1
2.194 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.194 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.194 * [taylor]: Taking taylor expansion of 1/2 in im
2.194 * [backup-simplify]: Simplify 1/2 into 1/2
2.194 * [taylor]: Taking taylor expansion of im in im
2.194 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify 1 into 1
2.194 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.195 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.196 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.196 * [backup-simplify]: Simplify (+ 0 0) into 0
2.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.196 * [taylor]: Taking taylor expansion of 0 in im
2.196 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.197 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.197 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.197 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.197 * [taylor]: Taking taylor expansion of im in im
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 1 into 1
2.197 * [backup-simplify]: Simplify (* 1 1) into 1
2.198 * [backup-simplify]: Simplify (/ 1 1) into 1
2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.198 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.198 * [taylor]: Taking taylor expansion of re in im
2.198 * [backup-simplify]: Simplify re into re
2.198 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.198 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.198 * [backup-simplify]: Simplify (+ 1 0) into 1
2.198 * [backup-simplify]: Simplify (sqrt 1) into 1
2.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.199 * [backup-simplify]: Simplify (+ 0 0) into 0
2.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.200 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.200 * [taylor]: Taking taylor expansion of im in re
2.200 * [backup-simplify]: Simplify im into im
2.200 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.200 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.200 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.200 * [taylor]: Taking taylor expansion of re in re
2.200 * [backup-simplify]: Simplify 0 into 0
2.200 * [backup-simplify]: Simplify 1 into 1
2.200 * [backup-simplify]: Simplify (* 1 1) into 1
2.201 * [backup-simplify]: Simplify (/ 1 1) into 1
2.201 * [backup-simplify]: Simplify (+ 0 1) into 1
2.201 * [backup-simplify]: Simplify (sqrt 1) into 1
2.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.202 * [backup-simplify]: Simplify (+ 0 0) into 0
2.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.203 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.203 * [taylor]: Taking taylor expansion of im in re
2.203 * [backup-simplify]: Simplify im into im
2.203 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.203 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.203 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.203 * [taylor]: Taking taylor expansion of re in re
2.203 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify 1 into 1
2.203 * [backup-simplify]: Simplify (* 1 1) into 1
2.203 * [backup-simplify]: Simplify (/ 1 1) into 1
2.204 * [backup-simplify]: Simplify (+ 0 1) into 1
2.204 * [backup-simplify]: Simplify (sqrt 1) into 1
2.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.205 * [backup-simplify]: Simplify (+ 0 0) into 0
2.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.205 * [taylor]: Taking taylor expansion of 1 in im
2.205 * [backup-simplify]: Simplify 1 into 1
2.205 * [taylor]: Taking taylor expansion of 0 in im
2.205 * [backup-simplify]: Simplify 0 into 0
2.205 * [backup-simplify]: Simplify 1 into 1
2.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.207 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.207 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.207 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.207 * [taylor]: Taking taylor expansion of 1/2 in im
2.208 * [backup-simplify]: Simplify 1/2 into 1/2
2.208 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.208 * [taylor]: Taking taylor expansion of im in im
2.208 * [backup-simplify]: Simplify 0 into 0
2.208 * [backup-simplify]: Simplify 1 into 1
2.208 * [backup-simplify]: Simplify (* 1 1) into 1
2.208 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.209 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.211 * [backup-simplify]: Simplify (+ 0 0) into 0
2.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.211 * [taylor]: Taking taylor expansion of 0 in im
2.211 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.212 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.213 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.213 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.213 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.213 * [taylor]: Taking taylor expansion of im in im
2.213 * [backup-simplify]: Simplify 0 into 0
2.213 * [backup-simplify]: Simplify 1 into 1
2.213 * [backup-simplify]: Simplify (* 1 1) into 1
2.213 * [backup-simplify]: Simplify (/ 1 1) into 1
2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.213 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.213 * [taylor]: Taking taylor expansion of re in im
2.213 * [backup-simplify]: Simplify re into re
2.213 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.213 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.214 * [backup-simplify]: Simplify (+ 1 0) into 1
2.214 * [backup-simplify]: Simplify (sqrt 1) into 1
2.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.220 * [backup-simplify]: Simplify (+ 0 0) into 0
2.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.221 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.221 * [taylor]: Taking taylor expansion of im in re
2.221 * [backup-simplify]: Simplify im into im
2.221 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.221 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.221 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.221 * [taylor]: Taking taylor expansion of re in re
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 1 into 1
2.221 * [backup-simplify]: Simplify (* 1 1) into 1
2.222 * [backup-simplify]: Simplify (/ 1 1) into 1
2.222 * [backup-simplify]: Simplify (+ 0 1) into 1
2.222 * [backup-simplify]: Simplify (sqrt 1) into 1
2.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.223 * [backup-simplify]: Simplify (+ 0 0) into 0
2.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.224 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.224 * [taylor]: Taking taylor expansion of im in re
2.224 * [backup-simplify]: Simplify im into im
2.224 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.224 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.224 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.224 * [taylor]: Taking taylor expansion of re in re
2.224 * [backup-simplify]: Simplify 0 into 0
2.224 * [backup-simplify]: Simplify 1 into 1
2.224 * [backup-simplify]: Simplify (* 1 1) into 1
2.224 * [backup-simplify]: Simplify (/ 1 1) into 1
2.225 * [backup-simplify]: Simplify (+ 0 1) into 1
2.225 * [backup-simplify]: Simplify (sqrt 1) into 1
2.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.226 * [backup-simplify]: Simplify (+ 0 0) into 0
2.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.226 * [taylor]: Taking taylor expansion of 1 in im
2.226 * [backup-simplify]: Simplify 1 into 1
2.226 * [taylor]: Taking taylor expansion of 0 in im
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 1 into 1
2.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.228 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.228 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.228 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.228 * [taylor]: Taking taylor expansion of 1/2 in im
2.229 * [backup-simplify]: Simplify 1/2 into 1/2
2.229 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.229 * [taylor]: Taking taylor expansion of im in im
2.229 * [backup-simplify]: Simplify 0 into 0
2.229 * [backup-simplify]: Simplify 1 into 1
2.229 * [backup-simplify]: Simplify (* 1 1) into 1
2.229 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.232 * [backup-simplify]: Simplify (+ 0 0) into 0
2.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.232 * [taylor]: Taking taylor expansion of 0 in im
2.232 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.233 * * * [progress]: simplifying candidates
2.234 * [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))))
  (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))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
2.235 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 h1
 h0
 (* -1 h0)
 h1
 h0
 (* -1 h0)
 h1
 h0
 (* -1 h0)
 h1
 h0
 (* -1 h0)
2.238 * * [simplify]: iteration  0 :  89  enodes  (cost  400 )
2.240 * * [simplify]: iteration  1 :  215  enodes  (cost  388 )
2.245 * * [simplify]: iteration  2 :  503  enodes  (cost  388 )
2.254 * * [simplify]: iteration  3 :  1265  enodes  (cost  388 )
2.283 * * [simplify]: iteration  4 :  4227  enodes  (cost  388 )
2.372 * * [simplify]: iteration  5 :  5002  enodes  (cost  384 )
2.374 * * * [progress]: adding candidates to table
2.695 * [progress]: [Phase 3 of 3] Extracting.
2.695 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>)
2.702 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) im re)
2.702 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>)
2.742 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>)
2.776 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>)
2.824 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>)
2.868 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>)
2.915 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>)
2.965 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>)
3.011 * * * [regime]: Found split indices: #<option (#s(si 2 29) #s(si 5 130) #s(si 4 255))>
3.013 * [binary-search]: Only using regimes for bounds on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) and (#<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>)
3.013 * [regimes]: Found splitpoints: (#s(sp 2 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 0.0) #s(sp 5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 4.941938896942078e+76) #s(sp 4 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>)
3.013 * [simplify]: Simplifying:
  (if (<= (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 0.0) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))) (if (<= (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 4.941938896942078e+76) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (+ im re))))))
3.013 * [simplify]: Sending expressions to egg_math:
 (if (<= (sqrt (* h0 (+ (sqrt (+ (* h1 h1) (* h2 h2))) h1))) h3) (* h4 (sqrt (* h0 (/ (+ (* h2 h2) 0) (+ (sqrt (+ (* h1 h1) (* h2 h2))) (* -1 h1)))))) (if (<= (sqrt (* h0 (+ (sqrt (+ (* h1 h1) (* h2 h2))) h1))) h5) (* h4 (sqrt (* h0 (+ (* (sqrt (sqrt (+ (* h1 h1) (* h2 h2)))) (sqrt (sqrt (+ (* h1 h1) (* h2 h2))))) h1)))) (* h4 (sqrt (* h0 (+ h2 h1))))))
3.014 * * [simplify]: iteration  0 :  51  enodes  (cost  45 )
3.015 * * [simplify]: iteration  1 :  55  enodes  (cost  45 )
3.015 * * [simplify]: iteration  2 :  55  enodes  (cost  45 )
4.167 * [regime-testing]: Baseline error score: 39.420131930437826
4.167 * [regime-testing]: Oracle error score: 17.78895070647658
4.169 * [regime-testing]: End program error score: 26.72095240504129
4.225 * [regime-testing]: Target error score: 34.06456829547527