19.415 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.028 * * * [progress]: [2/2] Setting up program.
0.030 * [progress]: [Phase 2 of 3] Improving.
0.031 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.031 * * [simplify]: Extracting # 0 : cost  0
0.031 * * [simplify]: Extracting # 1 : cost  0
0.031 * * [simplify]: Extracting # 2 : cost  0
0.031 * * [simplify]: Extracting # 3 : cost  0
0.031 * * [simplify]: Extracting # 4 : cost  0
0.031 * * [simplify]: Extracting # 5 : cost  0
0.031 * * [simplify]: Extracting # 6 : cost  0
0.031 * * [simplify]: Extracting # 7 : cost  0
0.031 * * [simplify]: Extracting # 8 : cost  0
0.031 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.033 * * [simplify]: Extracting # 0 : cost  0
0.033 * * [simplify]: Extracting # 1 : cost  0
0.033 * * [simplify]: Extracting # 2 : cost  0
0.033 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.037 * * [simplify]: Extracting # 0 : cost  0
0.037 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.040 * * [simplify]: Extracting # 0 : cost  0
0.040 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.040 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.040 * * [progress]: iteration 1 / 4
0.040 * * * [progress]: picking best candidate
0.042 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.043 * * * [progress]: localizing error
0.053 * * * [progress]: generating rewritten candidates
0.053 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.060 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.092 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.115 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.123 * * * [progress]: generating series expansions
0.123 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.124 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.124 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.124 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.124 * [taylor]: Taking taylor expansion of re in im
0.124 * [backup-simplify]: Simplify re into re
0.124 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.124 * [taylor]: Taking taylor expansion of im in im
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [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
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 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)
0.125 * [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
0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.126 * [taylor]: Taking taylor expansion of re in re
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.126 * [taylor]: Taking taylor expansion of im in re
0.126 * [backup-simplify]: Simplify im into im
0.126 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.126 * [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
0.127 * [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
0.129 * [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
0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [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
0.134 * [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
0.135 * [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
0.137 * [backup-simplify]: Simplify (* 1 1) into 1
0.137 * [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
0.138 * [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
0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.139 * [taylor]: Taking taylor expansion of 1 in im
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [taylor]: Taking taylor expansion of 0 in im
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.140 * [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))
0.141 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.141 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.141 * [taylor]: Taking taylor expansion of 1/2 in im
0.141 * [backup-simplify]: Simplify 1/2 into 1/2
0.141 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.141 * [taylor]: Taking taylor expansion of im in im
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [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
0.142 * [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
0.143 * [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
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.144 * [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
0.145 * [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
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.146 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.146 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.146 * [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
0.147 * [backup-simplify]: Simplify (/ 1 1) into 1
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.147 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.147 * [taylor]: Taking taylor expansion of re in im
0.147 * [backup-simplify]: Simplify re into re
0.147 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.147 * [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
0.148 * [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
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.153 * [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
0.156 * [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
0.158 * [taylor]: Taking taylor expansion of im in im
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [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
0.160 * [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
0.163 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 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 (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
0.164 * [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)
0.164 * [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
0.170 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.170 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.170 * [taylor]: Taking taylor expansion of 1/2 in im
0.170 * [backup-simplify]: Simplify 1/2 into 1/2
0.170 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.170 * [taylor]: Taking taylor expansion of im in im
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (/ 1 1) into 1
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.173 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [taylor]: Taking taylor expansion of 0 in im
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [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
0.175 * [backup-simplify]: Simplify (/ 1 1) into 1
0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.175 * [taylor]: Taking taylor expansion of (pow re 2) 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 (* 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
0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (+ 0 0) into 0
0.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.178 * [taylor]: Taking taylor expansion of re in re
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 1 into 1
0.178 * [backup-simplify]: Simplify (/ 1 1) into 1
0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.178 * [taylor]: Taking taylor expansion of im in re
0.178 * [backup-simplify]: Simplify im into im
0.178 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.178 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.178 * [taylor]: Taking taylor expansion of re in re
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 1 into 1
0.178 * [backup-simplify]: Simplify (* 1 1) into 1
0.179 * [backup-simplify]: Simplify (/ 1 1) into 1
0.179 * [backup-simplify]: Simplify (+ 0 1) into 1
0.179 * [backup-simplify]: Simplify (sqrt 1) into 1
0.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.181 * [taylor]: Taking taylor expansion of re in re
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.181 * [backup-simplify]: Simplify (/ 1 1) into 1
0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.181 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.181 * [taylor]: Taking taylor expansion of im in re
0.181 * [backup-simplify]: Simplify im into im
0.181 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.181 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.181 * [taylor]: Taking taylor expansion of re in re
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.181 * [backup-simplify]: Simplify (* 1 1) into 1
0.182 * [backup-simplify]: Simplify (/ 1 1) into 1
0.182 * [backup-simplify]: Simplify (+ 0 1) into 1
0.182 * [backup-simplify]: Simplify (sqrt 1) into 1
0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.184 * [backup-simplify]: Simplify (+ 1 1) into 2
0.184 * [taylor]: Taking taylor expansion of 2 in im
0.184 * [backup-simplify]: Simplify 2 into 2
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [taylor]: Taking taylor expansion of 0 in im
0.184 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 2 into 2
0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.187 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.187 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.187 * [taylor]: Taking taylor expansion of 1/2 in im
0.187 * [backup-simplify]: Simplify 1/2 into 1/2
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.187 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.187 * [taylor]: Taking taylor expansion of im in im
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.187 * [backup-simplify]: Simplify (* 1 1) into 1
0.188 * [backup-simplify]: Simplify (/ 1 1) into 1
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.192 * [backup-simplify]: Simplify (+ 0 0) into 0
0.192 * [taylor]: Taking taylor expansion of 0 in im
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.193 * [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))
0.193 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.193 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.194 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.194 * [taylor]: Taking taylor expansion of im in im
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.194 * [backup-simplify]: Simplify (* 1 1) into 1
0.194 * [backup-simplify]: Simplify (/ 1 1) into 1
0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.194 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.194 * [taylor]: Taking taylor expansion of re in im
0.194 * [backup-simplify]: Simplify re into re
0.194 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.194 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.195 * [backup-simplify]: Simplify (+ 1 0) into 1
0.195 * [backup-simplify]: Simplify (sqrt 1) into 1
0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.196 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.196 * [taylor]: Taking taylor expansion of re in im
0.196 * [backup-simplify]: Simplify re into re
0.196 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.196 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.196 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.196 * [taylor]: Taking taylor expansion of im in re
0.196 * [backup-simplify]: Simplify im into im
0.196 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.197 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.197 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.197 * [taylor]: Taking taylor expansion of re in re
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (* 1 1) into 1
0.197 * [backup-simplify]: Simplify (/ 1 1) into 1
0.197 * [backup-simplify]: Simplify (+ 0 1) into 1
0.198 * [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
0.199 * [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 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
0.199 * [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)
0.200 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.200 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.200 * [taylor]: Taking taylor expansion of re in re
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.200 * [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
0.201 * [backup-simplify]: Simplify (sqrt 1) into 1
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [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
0.203 * [backup-simplify]: Simplify (- 1) into -1
0.203 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.203 * [taylor]: Taking taylor expansion of 0 in im
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify (- 0) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [taylor]: Taking taylor expansion of 0 in im
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.206 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.206 * [backup-simplify]: Simplify (- 0) into 0
0.207 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.207 * [taylor]: Taking taylor expansion of 1/2 in im
0.207 * [backup-simplify]: Simplify 1/2 into 1/2
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.207 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.207 * [taylor]: Taking taylor expansion of im in im
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (/ 1 1) into 1
0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (- 0) into 0
0.211 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [taylor]: Taking taylor expansion of 0 in im
0.211 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.213 * [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))))))
0.213 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.213 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.213 * [taylor]: Taking taylor expansion of 2.0 in im
0.214 * [backup-simplify]: Simplify 2.0 into 2.0
0.214 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.214 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.214 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.214 * [taylor]: Taking taylor expansion of re in im
0.214 * [backup-simplify]: Simplify re into re
0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.214 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.214 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.214 * [taylor]: Taking taylor expansion of re in im
0.214 * [backup-simplify]: Simplify re into re
0.214 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.214 * [taylor]: Taking taylor expansion of im in im
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.215 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.215 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.215 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.215 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.215 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.216 * [taylor]: Taking taylor expansion of 2.0 in re
0.216 * [backup-simplify]: Simplify 2.0 into 2.0
0.216 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.216 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.216 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 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 (sqrt (+ (pow re 2) (pow im 2))) in re
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 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.217 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.217 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.217 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.217 * [backup-simplify]: Simplify (+ 0 im) into im
0.217 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.217 * [backup-simplify]: Simplify (+ 1 0) into 1
0.217 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.217 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.218 * [taylor]: Taking taylor expansion of 2.0 in re
0.218 * [backup-simplify]: Simplify 2.0 into 2.0
0.218 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.218 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.218 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.218 * [taylor]: Taking taylor expansion of re in re
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 1 into 1
0.218 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.218 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.218 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.218 * [taylor]: Taking taylor expansion of re in re
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 1 into 1
0.218 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.218 * [taylor]: Taking taylor expansion of im in re
0.218 * [backup-simplify]: Simplify im into im
0.218 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.219 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.219 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.219 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.219 * [backup-simplify]: Simplify (+ 0 im) into im
0.219 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.219 * [backup-simplify]: Simplify (+ 1 0) into 1
0.219 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.220 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.220 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.220 * [taylor]: Taking taylor expansion of 2.0 in im
0.220 * [backup-simplify]: Simplify 2.0 into 2.0
0.220 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.220 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.221 * [taylor]: Taking taylor expansion of im in im
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [backup-simplify]: Simplify (sqrt 0) into 0
0.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.222 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.223 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.223 * [taylor]: Taking taylor expansion of 1/2 in im
0.223 * [backup-simplify]: Simplify 1/2 into 1/2
0.223 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.223 * [taylor]: Taking taylor expansion of 2.0 in im
0.223 * [backup-simplify]: Simplify 2.0 into 2.0
0.223 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.223 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.223 * [taylor]: Taking taylor expansion of im in im
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify (/ 1 1) into 1
0.224 * [backup-simplify]: Simplify (sqrt 0) into 0
0.225 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.226 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.226 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.229 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.230 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.231 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.232 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.232 * [backup-simplify]: Simplify (* 1 1) into 1
0.232 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.233 * [backup-simplify]: Simplify (+ 1 0) into 1
0.233 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.233 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.234 * [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))))
0.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.235 * [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)))))
0.235 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.235 * [taylor]: Taking taylor expansion of 1/8 in im
0.235 * [backup-simplify]: Simplify 1/8 into 1/8
0.235 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.235 * [taylor]: Taking taylor expansion of 2.0 in im
0.235 * [backup-simplify]: Simplify 2.0 into 2.0
0.235 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.235 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.235 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.236 * [taylor]: Taking taylor expansion of im in im
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 (/ 1 1) into 1
0.236 * [backup-simplify]: Simplify (sqrt 0) into 0
0.237 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.241 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.242 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.243 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.244 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.246 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.247 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.250 * [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)))))))
0.250 * [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)))))))
0.250 * [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
0.250 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.250 * [taylor]: Taking taylor expansion of 2.0 in im
0.251 * [backup-simplify]: Simplify 2.0 into 2.0
0.251 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.251 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.251 * [taylor]: Taking taylor expansion of re in im
0.251 * [backup-simplify]: Simplify re into re
0.251 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.251 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.251 * [taylor]: Taking taylor expansion of im in im
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (/ 1 1) into 1
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.252 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.252 * [taylor]: Taking taylor expansion of re in im
0.252 * [backup-simplify]: Simplify re into re
0.252 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.252 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.252 * [backup-simplify]: Simplify (+ 1 0) into 1
0.253 * [backup-simplify]: Simplify (sqrt 1) into 1
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.254 * [backup-simplify]: Simplify (+ 0 1) into 1
0.255 * [backup-simplify]: Simplify (sqrt 0) into 0
0.255 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.255 * [taylor]: Taking taylor expansion of 2.0 in re
0.255 * [backup-simplify]: Simplify 2.0 into 2.0
0.256 * [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 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.256 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.256 * [taylor]: Taking taylor expansion of re in re
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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.256 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.256 * [taylor]: Taking taylor expansion of im in re
0.256 * [backup-simplify]: Simplify im into im
0.256 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.257 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.257 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.257 * [taylor]: Taking taylor expansion of re in re
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (* 1 1) into 1
0.257 * [backup-simplify]: Simplify (/ 1 1) into 1
0.257 * [backup-simplify]: Simplify (+ 0 1) into 1
0.258 * [backup-simplify]: Simplify (sqrt 1) into 1
0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.259 * [backup-simplify]: Simplify (+ 1 1) into 2
0.259 * [backup-simplify]: Simplify (sqrt 0) into 0
0.260 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.260 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.260 * [taylor]: Taking taylor expansion of 2.0 in re
0.260 * [backup-simplify]: Simplify 2.0 into 2.0
0.260 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.261 * [taylor]: Taking taylor expansion of re in re
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (/ 1 1) into 1
0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.261 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.261 * [taylor]: Taking taylor expansion of im in re
0.261 * [backup-simplify]: Simplify im into im
0.261 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.262 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.262 * [taylor]: Taking taylor expansion of re in re
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [backup-simplify]: Simplify (+ 0 1) into 1
0.263 * [backup-simplify]: Simplify (sqrt 1) into 1
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.264 * [backup-simplify]: Simplify (+ 1 1) into 2
0.265 * [backup-simplify]: Simplify (sqrt 0) into 0
0.271 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.271 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.271 * [taylor]: Taking taylor expansion of 0 in im
0.271 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.273 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.273 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.273 * [taylor]: Taking taylor expansion of +nan.0 in im
0.273 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.273 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.273 * [taylor]: Taking taylor expansion of 2.0 in im
0.273 * [backup-simplify]: Simplify 2.0 into 2.0
0.273 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.278 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.278 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.278 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.278 * [taylor]: Taking taylor expansion of +nan.0 in im
0.278 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.278 * [taylor]: Taking taylor expansion of 2.0 in im
0.278 * [backup-simplify]: Simplify 2.0 into 2.0
0.278 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.279 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.280 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.281 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.283 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.284 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.285 * [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))
0.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.286 * [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)))))
0.286 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.286 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.286 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.286 * [taylor]: Taking taylor expansion of +nan.0 in im
0.286 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.286 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.287 * [taylor]: Taking taylor expansion of 2.0 in im
0.287 * [backup-simplify]: Simplify 2.0 into 2.0
0.287 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.287 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.287 * [taylor]: Taking taylor expansion of im in im
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.288 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.288 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.288 * [taylor]: Taking taylor expansion of +nan.0 in im
0.288 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.288 * [taylor]: Taking taylor expansion of 2.0 in im
0.288 * [backup-simplify]: Simplify 2.0 into 2.0
0.288 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [backup-simplify]: Simplify (- 0) into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.292 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.293 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.294 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.294 * [backup-simplify]: Simplify (- 0) into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [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)))
0.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.299 * [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)))))
0.299 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.299 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.299 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.299 * [taylor]: Taking taylor expansion of +nan.0 in im
0.300 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.300 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.300 * [taylor]: Taking taylor expansion of 2.0 in im
0.300 * [backup-simplify]: Simplify 2.0 into 2.0
0.300 * [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 (pow im 2) in im
0.300 * [taylor]: Taking taylor expansion of im in im
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 (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.301 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.301 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.301 * [taylor]: Taking taylor expansion of +nan.0 in im
0.301 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.301 * [taylor]: Taking taylor expansion of 2.0 in im
0.301 * [backup-simplify]: Simplify 2.0 into 2.0
0.302 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (- 0) into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.307 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.308 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.309 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.311 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.312 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.315 * [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)))))))
0.315 * [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))))
0.315 * [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
0.315 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.315 * [taylor]: Taking taylor expansion of 2.0 in im
0.315 * [backup-simplify]: Simplify 2.0 into 2.0
0.315 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.316 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.316 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.316 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.316 * [taylor]: Taking taylor expansion of im in im
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.316 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.316 * [taylor]: Taking taylor expansion of re in im
0.316 * [backup-simplify]: Simplify re into re
0.317 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.317 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.317 * [backup-simplify]: Simplify (+ 1 0) into 1
0.317 * [backup-simplify]: Simplify (sqrt 1) into 1
0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.319 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.319 * [taylor]: Taking taylor expansion of re in im
0.319 * [backup-simplify]: Simplify re into re
0.319 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.319 * [backup-simplify]: Simplify (+ 1 0) into 1
0.319 * [backup-simplify]: Simplify (sqrt 0) into 0
0.320 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.320 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.320 * [taylor]: Taking taylor expansion of 2.0 in re
0.320 * [backup-simplify]: Simplify 2.0 into 2.0
0.320 * [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 (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.321 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.321 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.321 * [taylor]: Taking taylor expansion of im in re
0.321 * [backup-simplify]: Simplify im into im
0.321 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.321 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.321 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.321 * [taylor]: Taking taylor expansion of re in re
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 (/ 1 1) into 1
0.322 * [backup-simplify]: Simplify (+ 0 1) into 1
0.322 * [backup-simplify]: Simplify (sqrt 1) into 1
0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.324 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.324 * [taylor]: Taking taylor expansion of re in re
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [backup-simplify]: Simplify (- 1) into -1
0.324 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (- 0) into 0
0.325 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.327 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (- 0) into 0
0.328 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.328 * [backup-simplify]: Simplify (sqrt 0) into 0
0.329 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.329 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.329 * [taylor]: Taking taylor expansion of 2.0 in re
0.329 * [backup-simplify]: Simplify 2.0 into 2.0
0.329 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.329 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.329 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.329 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.329 * [taylor]: Taking taylor expansion of im in re
0.329 * [backup-simplify]: Simplify im into im
0.329 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.330 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.330 * [taylor]: Taking taylor expansion of re in re
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (* 1 1) into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [backup-simplify]: Simplify (+ 0 1) into 1
0.331 * [backup-simplify]: Simplify (sqrt 1) into 1
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.332 * [taylor]: Taking taylor expansion of re in re
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.333 * [backup-simplify]: Simplify (- 1) into -1
0.333 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (- 0) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.336 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (- 0) into 0
0.336 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.337 * [backup-simplify]: Simplify (sqrt 0) into 0
0.337 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.337 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.337 * [taylor]: Taking taylor expansion of 0 in im
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.338 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.338 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.338 * [taylor]: Taking taylor expansion of +nan.0 in im
0.338 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.338 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.338 * [taylor]: Taking taylor expansion of 2.0 in im
0.338 * [backup-simplify]: Simplify 2.0 into 2.0
0.338 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.339 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.339 * [taylor]: Taking taylor expansion of im in im
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify (* 1 1) into 1
0.340 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.341 * [backup-simplify]: Simplify (- 0) into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (- 0) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.347 * [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))))
0.347 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.347 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.347 * [taylor]: Taking taylor expansion of +nan.0 in im
0.347 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.347 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.347 * [taylor]: Taking taylor expansion of 2.0 in im
0.347 * [backup-simplify]: Simplify 2.0 into 2.0
0.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.348 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.348 * [taylor]: Taking taylor expansion of im in im
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (* 1 1) into 1
0.348 * [backup-simplify]: Simplify (* 1 1) into 1
0.349 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.356 * [backup-simplify]: Simplify (- 0) into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.358 * [backup-simplify]: Simplify (- 0) into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (- 0) into 0
0.362 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.369 * [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))))))
0.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.370 * [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))))))
0.370 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.370 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.370 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.370 * [taylor]: Taking taylor expansion of +nan.0 in im
0.371 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.371 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.371 * [taylor]: Taking taylor expansion of 2.0 in im
0.371 * [backup-simplify]: Simplify 2.0 into 2.0
0.371 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.371 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.371 * [taylor]: Taking taylor expansion of im in im
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (* 1 1) into 1
0.372 * [backup-simplify]: Simplify (* 1 1) into 1
0.372 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.372 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.372 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.372 * [taylor]: Taking taylor expansion of +nan.0 in im
0.372 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.372 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.372 * [taylor]: Taking taylor expansion of 2.0 in im
0.372 * [backup-simplify]: Simplify 2.0 into 2.0
0.373 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.373 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.373 * [taylor]: Taking taylor expansion of im in im
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [backup-simplify]: Simplify (* 1 1) into 1
0.374 * [backup-simplify]: Simplify (* 1 1) into 1
0.374 * [backup-simplify]: Simplify (* 1 1) into 1
0.374 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.375 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.382 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 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 (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.396 * [backup-simplify]: Simplify (- 0) into 0
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify (- 0) into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.397 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.397 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.397 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.397 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.397 * [taylor]: Taking taylor expansion of re in im
0.397 * [backup-simplify]: Simplify re into re
0.397 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.397 * [taylor]: Taking taylor expansion of im in im
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.397 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.397 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.397 * [taylor]: Taking taylor expansion of re in re
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.397 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.397 * [taylor]: Taking taylor expansion of im in re
0.397 * [backup-simplify]: Simplify im into im
0.397 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.397 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.397 * [taylor]: Taking taylor expansion of re in re
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.397 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.397 * [taylor]: Taking taylor expansion of im in re
0.397 * [backup-simplify]: Simplify im into im
0.397 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.397 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.397 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.397 * [taylor]: Taking taylor expansion of im in im
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.398 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.398 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [taylor]: Taking taylor expansion of 0 in im
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (* 1 1) into 1
0.398 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.399 * [backup-simplify]: Simplify (+ 1 0) into 1
0.399 * [taylor]: Taking taylor expansion of 1 in im
0.399 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify (* 1 1) into 1
0.399 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.400 * [backup-simplify]: Simplify (+ 0 0) into 0
0.400 * [taylor]: Taking taylor expansion of 0 in im
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 0 into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.402 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.402 * [taylor]: Taking taylor expansion of 0 in im
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.402 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.402 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.402 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.402 * [taylor]: Taking taylor expansion of im in im
0.402 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (* 1 1) into 1
0.403 * [backup-simplify]: Simplify (/ 1 1) into 1
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.403 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.403 * [taylor]: Taking taylor expansion of re in im
0.403 * [backup-simplify]: Simplify re into re
0.403 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.403 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.403 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.403 * [taylor]: Taking taylor expansion of im in re
0.403 * [backup-simplify]: Simplify im into im
0.403 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.403 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.404 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.404 * [taylor]: Taking taylor expansion of re in re
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.404 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.404 * [taylor]: Taking taylor expansion of im in re
0.404 * [backup-simplify]: Simplify im into im
0.404 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.404 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.404 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.404 * [taylor]: Taking taylor expansion of re in re
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.405 * [backup-simplify]: Simplify (+ 0 1) into 1
0.405 * [taylor]: Taking taylor expansion of 1 in im
0.405 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [taylor]: Taking taylor expansion of 0 in im
0.406 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.408 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.408 * [taylor]: Taking taylor expansion of im in im
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 1 into 1
0.408 * [backup-simplify]: Simplify (* 1 1) into 1
0.408 * [backup-simplify]: Simplify (/ 1 1) into 1
0.408 * [backup-simplify]: Simplify 1 into 1
0.408 * [backup-simplify]: Simplify 1 into 1
0.408 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (+ 0 0) into 0
0.410 * [taylor]: Taking taylor expansion of 0 in im
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (+ 0 0) into 0
0.413 * [taylor]: Taking taylor expansion of 0 in im
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.414 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.414 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.415 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.415 * [taylor]: Taking taylor expansion of im in im
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (* 1 1) into 1
0.415 * [backup-simplify]: Simplify (/ 1 1) into 1
0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.415 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.415 * [taylor]: Taking taylor expansion of re in im
0.415 * [backup-simplify]: Simplify re into re
0.415 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.415 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.415 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.415 * [taylor]: Taking taylor expansion of im in re
0.415 * [backup-simplify]: Simplify im into im
0.415 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.415 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.416 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.416 * [taylor]: Taking taylor expansion of re in re
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify 1 into 1
0.416 * [backup-simplify]: Simplify (* 1 1) into 1
0.416 * [backup-simplify]: Simplify (/ 1 1) into 1
0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.416 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.416 * [taylor]: Taking taylor expansion of im in re
0.416 * [backup-simplify]: Simplify im into im
0.416 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.416 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.416 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.416 * [taylor]: Taking taylor expansion of re in re
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify 1 into 1
0.417 * [backup-simplify]: Simplify (* 1 1) into 1
0.417 * [backup-simplify]: Simplify (/ 1 1) into 1
0.417 * [backup-simplify]: Simplify (+ 0 1) into 1
0.417 * [taylor]: Taking taylor expansion of 1 in im
0.417 * [backup-simplify]: Simplify 1 into 1
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.418 * [taylor]: Taking taylor expansion of 0 in im
0.418 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.419 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.419 * [taylor]: Taking taylor expansion of im in im
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (* 1 1) into 1
0.420 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.421 * [backup-simplify]: Simplify (+ 0 0) into 0
0.421 * [taylor]: Taking taylor expansion of 0 in im
0.421 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [taylor]: Taking taylor expansion of 0 in im
0.424 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.426 * * * [progress]: simplifying candidates
0.427 * [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)
  (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))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +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
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
0.428 * * [simplify]: Extracting # 0 : cost  0
0.428 * * [simplify]: Extracting # 1 : cost  0
0.428 * * [simplify]: Extracting # 2 : cost  0
0.428 * * [simplify]: Extracting # 3 : cost  0
0.428 * * [simplify]: Extracting # 4 : cost  0
0.428 * * [simplify]: Extracting # 5 : cost  0
0.429 * * [simplify]: Extracting # 6 : cost  0
0.429 * * [simplify]: Extracting # 7 : cost  0
0.429 * * [simplify]: Extracting # 8 : cost  0
0.429 * * [simplify]: Extracting # 9 : cost  0
0.429 * * [simplify]: Extracting # 10 : cost  0
0.429 * * [simplify]: Extracting # 11 : cost  0
0.429 * * [simplify]: iteration  0 :  108  enodes  (cost  888 )
0.451 * * [simplify]: Extracting # 0 : cost  0
0.451 * * [simplify]: Extracting # 1 : cost  0
0.451 * * [simplify]: Extracting # 2 : cost  0
0.457 * * [simplify]: Extracting # 3 : cost  0
0.457 * * [simplify]: Extracting # 4 : cost  0
0.457 * * [simplify]: iteration  1 :  271  enodes  (cost  774 )
0.549 * * [simplify]: Extracting # 0 : cost  0
0.549 * * [simplify]: Extracting # 1 : cost  0
0.550 * * [simplify]: Extracting # 2 : cost  0
0.551 * * [simplify]: Extracting # 3 : cost  0
0.552 * * [simplify]: Extracting # 4 : cost  0
0.553 * * [simplify]: iteration  2 :  755  enodes  (cost  698 )
0.842 * * [simplify]: Extracting # 0 : cost  0
0.844 * * [simplify]: Extracting # 1 : cost  0
0.846 * * [simplify]: Extracting # 2 : cost  0
0.848 * * [simplify]: Extracting # 3 : cost  0
0.849 * * [simplify]: Extracting # 4 : cost  0
0.851 * * [simplify]: iteration  3 :  2070  enodes  (cost  673 )
1.956 * * [simplify]: Extracting # 0 : cost  0
1.962 * * [simplify]: Extracting # 1 : cost  0
1.967 * * [simplify]: Extracting # 2 : cost  0
1.977 * * [simplify]: Extracting # 3 : cost  0
1.982 * * [simplify]: Extracting # 4 : cost  0
1.986 * * [simplify]: iteration done:  5000  enodes  (cost  668 )
1.987 * [simplify]: Simplified to:
  (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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (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))) 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))
  (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (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))))
  (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im)))
  (sqrt (* (* im im) 2.0))
  (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))))
  (exp (+ (* re re) (* 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)))
  (pow (+ (* re re) (* im im)) 3)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow im 6) (pow re 6))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (- (* re re) (* im im))
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  (* (* +nan.0 (sqrt 2.0)) (- (- im re) (* re re)))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
  0
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
1.987 * * * [progress]: adding candidates to table
2.160 * * [progress]: iteration 2 / 4
2.160 * * * [progress]: picking best candidate
2.174 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
2.174 * * * [progress]: localizing error
2.189 * * * [progress]: generating rewritten candidates
2.189 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1)
2.197 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
2.242 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1)
2.252 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
2.261 * * * [progress]: generating series expansions
2.261 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1)
2.261 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.261 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.261 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.261 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.261 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.261 * [taylor]: Taking taylor expansion of re in im
2.261 * [backup-simplify]: Simplify re into re
2.261 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.261 * [taylor]: Taking taylor expansion of im in im
2.261 * [backup-simplify]: Simplify 0 into 0
2.261 * [backup-simplify]: Simplify 1 into 1
2.261 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.261 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.262 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.262 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.262 * [backup-simplify]: Simplify (+ 0 0) into 0
2.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.262 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.262 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.262 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.262 * [taylor]: Taking taylor expansion of re in re
2.262 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify 1 into 1
2.262 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.262 * [taylor]: Taking taylor expansion of im in re
2.262 * [backup-simplify]: Simplify im into im
2.262 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.262 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.262 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.263 * [backup-simplify]: Simplify (+ 0 0) into 0
2.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.263 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.263 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.263 * [taylor]: Taking taylor expansion of re in re
2.263 * [backup-simplify]: Simplify 0 into 0
2.263 * [backup-simplify]: Simplify 1 into 1
2.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.263 * [taylor]: Taking taylor expansion of im in re
2.263 * [backup-simplify]: Simplify im into im
2.263 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.263 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.263 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.264 * [backup-simplify]: Simplify (+ 0 0) into 0
2.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.264 * [taylor]: Taking taylor expansion of im in im
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 1 into 1
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [taylor]: Taking taylor expansion of 0 in im
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 1 into 1
2.264 * [backup-simplify]: Simplify (* 1 1) into 1
2.264 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.265 * [backup-simplify]: Simplify (+ 1 0) into 1
2.265 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.265 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.265 * [taylor]: Taking taylor expansion of 1/2 in im
2.265 * [backup-simplify]: Simplify 1/2 into 1/2
2.265 * [taylor]: Taking taylor expansion of im in im
2.265 * [backup-simplify]: Simplify 0 into 0
2.265 * [backup-simplify]: Simplify 1 into 1
2.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.266 * [backup-simplify]: Simplify 0 into 0
2.266 * [backup-simplify]: Simplify 0 into 0
2.266 * [backup-simplify]: Simplify 0 into 0
2.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.267 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.267 * [backup-simplify]: Simplify (+ 0 0) into 0
2.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.267 * [taylor]: Taking taylor expansion of 0 in im
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.268 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.268 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.268 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.268 * [taylor]: Taking taylor expansion of im in im
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.269 * [backup-simplify]: Simplify (* 1 1) into 1
2.269 * [backup-simplify]: Simplify (/ 1 1) into 1
2.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.269 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.269 * [taylor]: Taking taylor expansion of re in im
2.269 * [backup-simplify]: Simplify re into re
2.269 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.269 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.269 * [backup-simplify]: Simplify (+ 1 0) into 1
2.270 * [backup-simplify]: Simplify (sqrt 1) into 1
2.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.271 * [backup-simplify]: Simplify (+ 0 0) into 0
2.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.271 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.271 * [taylor]: Taking taylor expansion of im in re
2.271 * [backup-simplify]: Simplify im into im
2.271 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.271 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.271 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.271 * [taylor]: Taking taylor expansion of re in re
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify 1 into 1
2.272 * [backup-simplify]: Simplify (* 1 1) into 1
2.272 * [backup-simplify]: Simplify (/ 1 1) into 1
2.272 * [backup-simplify]: Simplify (+ 0 1) into 1
2.272 * [backup-simplify]: Simplify (sqrt 1) into 1
2.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.273 * [backup-simplify]: Simplify (+ 0 0) into 0
2.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.274 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.274 * [taylor]: Taking taylor expansion of im in re
2.274 * [backup-simplify]: Simplify im into im
2.274 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.274 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.274 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.274 * [taylor]: Taking taylor expansion of re in re
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify 1 into 1
2.274 * [backup-simplify]: Simplify (* 1 1) into 1
2.274 * [backup-simplify]: Simplify (/ 1 1) into 1
2.275 * [backup-simplify]: Simplify (+ 0 1) into 1
2.275 * [backup-simplify]: Simplify (sqrt 1) into 1
2.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.276 * [backup-simplify]: Simplify (+ 0 0) into 0
2.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.276 * [taylor]: Taking taylor expansion of 1 in im
2.276 * [backup-simplify]: Simplify 1 into 1
2.276 * [taylor]: Taking taylor expansion of 0 in im
2.277 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify 1 into 1
2.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.278 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.278 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.278 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.278 * [taylor]: Taking taylor expansion of 1/2 in im
2.279 * [backup-simplify]: Simplify 1/2 into 1/2
2.279 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.279 * [taylor]: Taking taylor expansion of im in im
2.279 * [backup-simplify]: Simplify 0 into 0
2.279 * [backup-simplify]: Simplify 1 into 1
2.279 * [backup-simplify]: Simplify (* 1 1) into 1
2.279 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.283 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.284 * [backup-simplify]: Simplify (+ 0 0) into 0
2.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.285 * [taylor]: Taking taylor expansion of 0 in im
2.285 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.286 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.286 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.287 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.287 * [taylor]: Taking taylor expansion of im in im
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 1 into 1
2.287 * [backup-simplify]: Simplify (* 1 1) into 1
2.287 * [backup-simplify]: Simplify (/ 1 1) into 1
2.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.287 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.287 * [taylor]: Taking taylor expansion of re in im
2.287 * [backup-simplify]: Simplify re into re
2.287 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.287 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.288 * [backup-simplify]: Simplify (+ 1 0) into 1
2.288 * [backup-simplify]: Simplify (sqrt 1) into 1
2.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.289 * [backup-simplify]: Simplify (+ 0 0) into 0
2.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.289 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.289 * [taylor]: Taking taylor expansion of im in re
2.289 * [backup-simplify]: Simplify im into im
2.289 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.289 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.289 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.290 * [taylor]: Taking taylor expansion of re in re
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 1 into 1
2.290 * [backup-simplify]: Simplify (* 1 1) into 1
2.290 * [backup-simplify]: Simplify (/ 1 1) into 1
2.290 * [backup-simplify]: Simplify (+ 0 1) into 1
2.290 * [backup-simplify]: Simplify (sqrt 1) into 1
2.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.291 * [backup-simplify]: Simplify (+ 0 0) into 0
2.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.292 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.292 * [taylor]: Taking taylor expansion of im in re
2.292 * [backup-simplify]: Simplify im into im
2.292 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.292 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.292 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.292 * [taylor]: Taking taylor expansion of re in re
2.292 * [backup-simplify]: Simplify 0 into 0
2.292 * [backup-simplify]: Simplify 1 into 1
2.292 * [backup-simplify]: Simplify (* 1 1) into 1
2.293 * [backup-simplify]: Simplify (/ 1 1) into 1
2.293 * [backup-simplify]: Simplify (+ 0 1) into 1
2.293 * [backup-simplify]: Simplify (sqrt 1) into 1
2.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.294 * [backup-simplify]: Simplify (+ 0 0) into 0
2.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.295 * [taylor]: Taking taylor expansion of 1 in im
2.295 * [backup-simplify]: Simplify 1 into 1
2.295 * [taylor]: Taking taylor expansion of 0 in im
2.295 * [backup-simplify]: Simplify 0 into 0
2.295 * [backup-simplify]: Simplify 1 into 1
2.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.296 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.297 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.297 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.297 * [taylor]: Taking taylor expansion of 1/2 in im
2.297 * [backup-simplify]: Simplify 1/2 into 1/2
2.297 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.297 * [taylor]: Taking taylor expansion of im in im
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify 1 into 1
2.297 * [backup-simplify]: Simplify (* 1 1) into 1
2.297 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.298 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.300 * [backup-simplify]: Simplify (+ 0 0) into 0
2.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.300 * [taylor]: Taking taylor expansion of 0 in im
2.300 * [backup-simplify]: Simplify 0 into 0
2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.301 * [backup-simplify]: Simplify 0 into 0
2.301 * [backup-simplify]: Simplify 0 into 0
2.301 * [backup-simplify]: Simplify 0 into 0
2.301 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.301 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
2.302 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
2.302 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
2.302 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
2.302 * [taylor]: Taking taylor expansion of re in im
2.302 * [backup-simplify]: Simplify re into re
2.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.302 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.302 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.302 * [taylor]: Taking taylor expansion of re in im
2.302 * [backup-simplify]: Simplify re into re
2.302 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.302 * [taylor]: Taking taylor expansion of im in im
2.302 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify 1 into 1
2.302 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.302 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.302 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.302 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.302 * [backup-simplify]: Simplify (+ 0 0) into 0
2.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.302 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
2.302 * [taylor]: Taking taylor expansion of re in re
2.303 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify 1 into 1
2.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.303 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.303 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.303 * [taylor]: Taking taylor expansion of re in re
2.303 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify 1 into 1
2.303 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.303 * [taylor]: Taking taylor expansion of im in re
2.303 * [backup-simplify]: Simplify im into im
2.303 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.303 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.303 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.303 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.303 * [backup-simplify]: Simplify (+ 0 0) into 0
2.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.303 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
2.303 * [taylor]: Taking taylor expansion of re in re
2.303 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify 1 into 1
2.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.303 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.303 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.303 * [taylor]: Taking taylor expansion of re in re
2.303 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify 1 into 1
2.303 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.303 * [taylor]: Taking taylor expansion of im in re
2.303 * [backup-simplify]: Simplify im into im
2.303 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.304 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.304 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.304 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.304 * [backup-simplify]: Simplify (+ 0 0) into 0
2.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.304 * [backup-simplify]: Simplify (+ 0 im) into im
2.304 * [taylor]: Taking taylor expansion of im in im
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify 1 into 1
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify (+ 1 0) into 1
2.304 * [taylor]: Taking taylor expansion of 1 in im
2.304 * [backup-simplify]: Simplify 1 into 1
2.305 * [backup-simplify]: Simplify 1 into 1
2.305 * [backup-simplify]: Simplify 1 into 1
2.305 * [backup-simplify]: Simplify (* 1 1) into 1
2.305 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.305 * [backup-simplify]: Simplify (+ 1 0) into 1
2.306 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.306 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.306 * [taylor]: Taking taylor expansion of 1/2 in im
2.306 * [backup-simplify]: Simplify 1/2 into 1/2
2.306 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.306 * [taylor]: Taking taylor expansion of im in im
2.306 * [backup-simplify]: Simplify 0 into 0
2.306 * [backup-simplify]: Simplify 1 into 1
2.306 * [backup-simplify]: Simplify (/ 1 1) into 1
2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.307 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.308 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.308 * [backup-simplify]: Simplify (+ 0 0) into 0
2.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.308 * [backup-simplify]: Simplify (+ 0 0) into 0
2.308 * [taylor]: Taking taylor expansion of 0 in im
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.309 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.310 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
2.310 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
2.310 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
2.310 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.310 * [taylor]: Taking taylor expansion of re in im
2.310 * [backup-simplify]: Simplify re into re
2.310 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.310 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.310 * [taylor]: Taking taylor expansion of im in im
2.310 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify 1 into 1
2.310 * [backup-simplify]: Simplify (* 1 1) into 1
2.311 * [backup-simplify]: Simplify (/ 1 1) into 1
2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.311 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.311 * [taylor]: Taking taylor expansion of re in im
2.311 * [backup-simplify]: Simplify re into re
2.311 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.311 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.311 * [backup-simplify]: Simplify (+ 1 0) into 1
2.311 * [backup-simplify]: Simplify (sqrt 1) into 1
2.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.312 * [backup-simplify]: Simplify (+ 0 0) into 0
2.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.313 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.313 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.313 * [taylor]: Taking taylor expansion of re in re
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.313 * [backup-simplify]: Simplify (/ 1 1) into 1
2.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.313 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.313 * [taylor]: Taking taylor expansion of im in re
2.313 * [backup-simplify]: Simplify im into im
2.313 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.313 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.313 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.313 * [taylor]: Taking taylor expansion of re in re
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.314 * [backup-simplify]: Simplify (* 1 1) into 1
2.314 * [backup-simplify]: Simplify (/ 1 1) into 1
2.314 * [backup-simplify]: Simplify (+ 0 1) into 1
2.314 * [backup-simplify]: Simplify (sqrt 1) into 1
2.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.315 * [backup-simplify]: Simplify (+ 0 0) into 0
2.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.316 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.316 * [taylor]: Taking taylor expansion of re in re
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify 1 into 1
2.316 * [backup-simplify]: Simplify (/ 1 1) into 1
2.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.316 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.316 * [taylor]: Taking taylor expansion of im in re
2.316 * [backup-simplify]: Simplify im into im
2.316 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.316 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.316 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.316 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.316 * [taylor]: Taking taylor expansion of re in re
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify 1 into 1
2.317 * [backup-simplify]: Simplify (* 1 1) into 1
2.317 * [backup-simplify]: Simplify (/ 1 1) into 1
2.317 * [backup-simplify]: Simplify (+ 0 1) into 1
2.317 * [backup-simplify]: Simplify (sqrt 1) into 1
2.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.318 * [backup-simplify]: Simplify (+ 0 0) into 0
2.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.319 * [backup-simplify]: Simplify (+ 1 1) into 2
2.319 * [taylor]: Taking taylor expansion of 2 in im
2.319 * [backup-simplify]: Simplify 2 into 2
2.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.320 * [backup-simplify]: Simplify (+ 0 0) into 0
2.320 * [taylor]: Taking taylor expansion of 0 in im
2.320 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify 2 into 2
2.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.321 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.322 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.322 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.322 * [taylor]: Taking taylor expansion of 1/2 in im
2.322 * [backup-simplify]: Simplify 1/2 into 1/2
2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.322 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.323 * [taylor]: Taking taylor expansion of im in im
2.323 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify 1 into 1
2.323 * [backup-simplify]: Simplify (* 1 1) into 1
2.323 * [backup-simplify]: Simplify (/ 1 1) into 1
2.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.325 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.326 * [backup-simplify]: Simplify (+ 0 0) into 0
2.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.327 * [backup-simplify]: Simplify (+ 0 0) into 0
2.327 * [taylor]: Taking taylor expansion of 0 in im
2.327 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.329 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
2.329 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
2.329 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
2.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.329 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.329 * [taylor]: Taking taylor expansion of im in im
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify 1 into 1
2.330 * [backup-simplify]: Simplify (* 1 1) into 1
2.330 * [backup-simplify]: Simplify (/ 1 1) into 1
2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.330 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.330 * [taylor]: Taking taylor expansion of re in im
2.330 * [backup-simplify]: Simplify re into re
2.330 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.330 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.330 * [backup-simplify]: Simplify (+ 1 0) into 1
2.330 * [backup-simplify]: Simplify (sqrt 1) into 1
2.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.331 * [backup-simplify]: Simplify (+ 0 0) into 0
2.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.332 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.332 * [taylor]: Taking taylor expansion of re in im
2.332 * [backup-simplify]: Simplify re into re
2.332 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.332 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.332 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.332 * [taylor]: Taking taylor expansion of im in re
2.332 * [backup-simplify]: Simplify im into im
2.332 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.332 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.332 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.332 * [taylor]: Taking taylor expansion of re in re
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 1 into 1
2.333 * [backup-simplify]: Simplify (* 1 1) into 1
2.333 * [backup-simplify]: Simplify (/ 1 1) into 1
2.333 * [backup-simplify]: Simplify (+ 0 1) into 1
2.333 * [backup-simplify]: Simplify (sqrt 1) into 1
2.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.334 * [backup-simplify]: Simplify (+ 0 0) into 0
2.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.335 * [taylor]: Taking taylor expansion of re in re
2.335 * [backup-simplify]: Simplify 0 into 0
2.335 * [backup-simplify]: Simplify 1 into 1
2.335 * [backup-simplify]: Simplify (/ 1 1) into 1
2.335 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.335 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.335 * [taylor]: Taking taylor expansion of im in re
2.335 * [backup-simplify]: Simplify im into im
2.335 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.335 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.335 * [taylor]: Taking taylor expansion of re in re
2.335 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 1 into 1
2.336 * [backup-simplify]: Simplify (* 1 1) into 1
2.336 * [backup-simplify]: Simplify (/ 1 1) into 1
2.336 * [backup-simplify]: Simplify (+ 0 1) into 1
2.336 * [backup-simplify]: Simplify (sqrt 1) into 1
2.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.337 * [backup-simplify]: Simplify (+ 0 0) into 0
2.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.338 * [taylor]: Taking taylor expansion of re in re
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 1 into 1
2.338 * [backup-simplify]: Simplify (/ 1 1) into 1
2.338 * [backup-simplify]: Simplify (- 1) into -1
2.339 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.339 * [taylor]: Taking taylor expansion of 0 in im
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.339 * [backup-simplify]: Simplify (- 0) into 0
2.340 * [backup-simplify]: Simplify (+ 0 0) into 0
2.340 * [taylor]: Taking taylor expansion of 0 in im
2.340 * [backup-simplify]: Simplify 0 into 0
2.340 * [backup-simplify]: Simplify 0 into 0
2.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.341 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.342 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.342 * [backup-simplify]: Simplify (- 0) into 0
2.342 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.342 * [taylor]: Taking taylor expansion of 1/2 in im
2.342 * [backup-simplify]: Simplify 1/2 into 1/2
2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.342 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.342 * [taylor]: Taking taylor expansion of im in im
2.342 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify 1 into 1
2.343 * [backup-simplify]: Simplify (* 1 1) into 1
2.343 * [backup-simplify]: Simplify (/ 1 1) into 1
2.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.344 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.346 * [backup-simplify]: Simplify (+ 0 0) into 0
2.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.347 * [backup-simplify]: Simplify (- 0) into 0
2.347 * [backup-simplify]: Simplify (+ 0 0) into 0
2.347 * [taylor]: Taking taylor expansion of 0 in im
2.347 * [backup-simplify]: Simplify 0 into 0
2.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.349 * [backup-simplify]: Simplify 0 into 0
2.349 * [backup-simplify]: Simplify 0 into 0
2.349 * [backup-simplify]: Simplify 0 into 0
2.349 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1)
2.349 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
2.349 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.349 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.349 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.349 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.349 * [taylor]: Taking taylor expansion of re in im
2.349 * [backup-simplify]: Simplify re into re
2.349 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.349 * [taylor]: Taking taylor expansion of im in im
2.349 * [backup-simplify]: Simplify 0 into 0
2.349 * [backup-simplify]: Simplify 1 into 1
2.349 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.349 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.350 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.350 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.350 * [backup-simplify]: Simplify (+ 0 0) into 0
2.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.350 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.350 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.350 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.350 * [taylor]: Taking taylor expansion of re in re
2.350 * [backup-simplify]: Simplify 0 into 0
2.350 * [backup-simplify]: Simplify 1 into 1
2.350 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.350 * [taylor]: Taking taylor expansion of im in re
2.350 * [backup-simplify]: Simplify im into im
2.350 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.350 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.350 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.350 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.351 * [backup-simplify]: Simplify (+ 0 0) into 0
2.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.351 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.351 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.351 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.351 * [taylor]: Taking taylor expansion of re in re
2.351 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify 1 into 1
2.351 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.351 * [taylor]: Taking taylor expansion of im in re
2.351 * [backup-simplify]: Simplify im into im
2.351 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.351 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.351 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.351 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.351 * [backup-simplify]: Simplify (+ 0 0) into 0
2.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.351 * [taylor]: Taking taylor expansion of im in im
2.351 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify 1 into 1
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [taylor]: Taking taylor expansion of 0 in im
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 1 into 1
2.352 * [backup-simplify]: Simplify (* 1 1) into 1
2.352 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.352 * [backup-simplify]: Simplify (+ 1 0) into 1
2.353 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.353 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.353 * [taylor]: Taking taylor expansion of 1/2 in im
2.353 * [backup-simplify]: Simplify 1/2 into 1/2
2.353 * [taylor]: Taking taylor expansion of im in im
2.353 * [backup-simplify]: Simplify 0 into 0
2.353 * [backup-simplify]: Simplify 1 into 1
2.353 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.354 * [backup-simplify]: Simplify 0 into 0
2.354 * [backup-simplify]: Simplify 0 into 0
2.354 * [backup-simplify]: Simplify 0 into 0
2.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.355 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.355 * [backup-simplify]: Simplify (+ 0 0) into 0
2.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.355 * [taylor]: Taking taylor expansion of 0 in im
2.355 * [backup-simplify]: Simplify 0 into 0
2.355 * [backup-simplify]: Simplify 0 into 0
2.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.356 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.356 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.356 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.356 * [taylor]: Taking taylor expansion of im in im
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [backup-simplify]: Simplify (* 1 1) into 1
2.356 * [backup-simplify]: Simplify (/ 1 1) into 1
2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.357 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.357 * [taylor]: Taking taylor expansion of re in im
2.357 * [backup-simplify]: Simplify re into re
2.357 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.357 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.357 * [backup-simplify]: Simplify (+ 1 0) into 1
2.357 * [backup-simplify]: Simplify (sqrt 1) into 1
2.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.358 * [backup-simplify]: Simplify (+ 0 0) into 0
2.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.359 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.359 * [taylor]: Taking taylor expansion of im in re
2.359 * [backup-simplify]: Simplify im into im
2.359 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.359 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.359 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.359 * [taylor]: Taking taylor expansion of re in re
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify 1 into 1
2.359 * [backup-simplify]: Simplify (* 1 1) into 1
2.359 * [backup-simplify]: Simplify (/ 1 1) into 1
2.360 * [backup-simplify]: Simplify (+ 0 1) into 1
2.360 * [backup-simplify]: Simplify (sqrt 1) into 1
2.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.361 * [backup-simplify]: Simplify (+ 0 0) into 0
2.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.361 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.361 * [taylor]: Taking taylor expansion of im in re
2.361 * [backup-simplify]: Simplify im into im
2.361 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.362 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.362 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.362 * [taylor]: Taking taylor expansion of re in re
2.362 * [backup-simplify]: Simplify 0 into 0
2.362 * [backup-simplify]: Simplify 1 into 1
2.362 * [backup-simplify]: Simplify (* 1 1) into 1
2.362 * [backup-simplify]: Simplify (/ 1 1) into 1
2.362 * [backup-simplify]: Simplify (+ 0 1) into 1
2.363 * [backup-simplify]: Simplify (sqrt 1) into 1
2.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.364 * [backup-simplify]: Simplify (+ 0 0) into 0
2.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.364 * [taylor]: Taking taylor expansion of 1 in im
2.364 * [backup-simplify]: Simplify 1 into 1
2.364 * [taylor]: Taking taylor expansion of 0 in im
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify 1 into 1
2.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.365 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.366 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.366 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.366 * [taylor]: Taking taylor expansion of 1/2 in im
2.366 * [backup-simplify]: Simplify 1/2 into 1/2
2.366 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.366 * [taylor]: Taking taylor expansion of im in im
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify 1 into 1
2.366 * [backup-simplify]: Simplify (* 1 1) into 1
2.367 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.368 * [backup-simplify]: Simplify 0 into 0
2.368 * [backup-simplify]: Simplify 0 into 0
2.368 * [backup-simplify]: Simplify 0 into 0
2.368 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.369 * [backup-simplify]: Simplify (+ 0 0) into 0
2.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.370 * [taylor]: Taking taylor expansion of 0 in im
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.371 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.371 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.371 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.371 * [taylor]: Taking taylor expansion of im in im
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 1 into 1
2.371 * [backup-simplify]: Simplify (* 1 1) into 1
2.372 * [backup-simplify]: Simplify (/ 1 1) into 1
2.372 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.372 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.372 * [taylor]: Taking taylor expansion of re in im
2.372 * [backup-simplify]: Simplify re into re
2.372 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.372 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.372 * [backup-simplify]: Simplify (+ 1 0) into 1
2.372 * [backup-simplify]: Simplify (sqrt 1) into 1
2.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.373 * [backup-simplify]: Simplify (+ 0 0) into 0
2.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.374 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.374 * [taylor]: Taking taylor expansion of im in re
2.374 * [backup-simplify]: Simplify im into im
2.374 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.374 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.374 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.374 * [taylor]: Taking taylor expansion of re in re
2.374 * [backup-simplify]: Simplify 0 into 0
2.374 * [backup-simplify]: Simplify 1 into 1
2.374 * [backup-simplify]: Simplify (* 1 1) into 1
2.374 * [backup-simplify]: Simplify (/ 1 1) into 1
2.375 * [backup-simplify]: Simplify (+ 0 1) into 1
2.375 * [backup-simplify]: Simplify (sqrt 1) into 1
2.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.376 * [backup-simplify]: Simplify (+ 0 0) into 0
2.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.376 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.376 * [taylor]: Taking taylor expansion of im in re
2.376 * [backup-simplify]: Simplify im into im
2.377 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.377 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.377 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.377 * [taylor]: Taking taylor expansion of re in re
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [backup-simplify]: Simplify 1 into 1
2.377 * [backup-simplify]: Simplify (* 1 1) into 1
2.377 * [backup-simplify]: Simplify (/ 1 1) into 1
2.377 * [backup-simplify]: Simplify (+ 0 1) into 1
2.378 * [backup-simplify]: Simplify (sqrt 1) into 1
2.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.381 * [backup-simplify]: Simplify (+ 0 0) into 0
2.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.382 * [taylor]: Taking taylor expansion of 1 in im
2.382 * [backup-simplify]: Simplify 1 into 1
2.382 * [taylor]: Taking taylor expansion of 0 in im
2.382 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify 1 into 1
2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.383 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.384 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.384 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.384 * [taylor]: Taking taylor expansion of 1/2 in im
2.384 * [backup-simplify]: Simplify 1/2 into 1/2
2.384 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.384 * [taylor]: Taking taylor expansion of im in im
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify 1 into 1
2.384 * [backup-simplify]: Simplify (* 1 1) into 1
2.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.387 * [backup-simplify]: Simplify (+ 0 0) into 0
2.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.388 * [taylor]: Taking taylor expansion of 0 in im
2.388 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.389 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1)
2.389 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
2.389 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
2.389 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.389 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.389 * [taylor]: Taking taylor expansion of re in im
2.389 * [backup-simplify]: Simplify re into re
2.389 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.389 * [taylor]: Taking taylor expansion of im in im
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 1 into 1
2.389 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.389 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.389 * [taylor]: Taking taylor expansion of re in re
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 1 into 1
2.389 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.389 * [taylor]: Taking taylor expansion of im in re
2.390 * [backup-simplify]: Simplify im into im
2.390 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.390 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.390 * [taylor]: Taking taylor expansion of re in re
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify 1 into 1
2.390 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.390 * [taylor]: Taking taylor expansion of im in re
2.390 * [backup-simplify]: Simplify im into im
2.390 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.390 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.390 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.390 * [taylor]: Taking taylor expansion of im in im
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify 1 into 1
2.390 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.390 * [backup-simplify]: Simplify (+ 0 0) into 0
2.390 * [taylor]: Taking taylor expansion of 0 in im
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify (* 1 1) into 1
2.391 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.391 * [backup-simplify]: Simplify (+ 1 0) into 1
2.391 * [taylor]: Taking taylor expansion of 1 in im
2.391 * [backup-simplify]: Simplify 1 into 1
2.391 * [backup-simplify]: Simplify 1 into 1
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify (* 1 1) into 1
2.391 * [backup-simplify]: Simplify 1 into 1
2.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.392 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.393 * [backup-simplify]: Simplify (+ 0 0) into 0
2.393 * [taylor]: Taking taylor expansion of 0 in im
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.393 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.394 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
2.394 * [backup-simplify]: Simplify (+ 0 0) into 0
2.394 * [taylor]: Taking taylor expansion of 0 in im
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
2.395 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
2.395 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
2.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.395 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.395 * [taylor]: Taking taylor expansion of im in im
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify 1 into 1
2.395 * [backup-simplify]: Simplify (* 1 1) into 1
2.395 * [backup-simplify]: Simplify (/ 1 1) into 1
2.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.396 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.396 * [taylor]: Taking taylor expansion of re in im
2.396 * [backup-simplify]: Simplify re into re
2.396 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.396 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.396 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.396 * [taylor]: Taking taylor expansion of im in re
2.396 * [backup-simplify]: Simplify im into im
2.396 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.396 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.396 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.396 * [taylor]: Taking taylor expansion of re in re
2.396 * [backup-simplify]: Simplify 0 into 0
2.396 * [backup-simplify]: Simplify 1 into 1
2.396 * [backup-simplify]: Simplify (* 1 1) into 1
2.396 * [backup-simplify]: Simplify (/ 1 1) into 1
2.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.397 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.397 * [taylor]: Taking taylor expansion of im in re
2.397 * [backup-simplify]: Simplify im into im
2.397 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.397 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.397 * [taylor]: Taking taylor expansion of re in re
2.397 * [backup-simplify]: Simplify 0 into 0
2.397 * [backup-simplify]: Simplify 1 into 1
2.397 * [backup-simplify]: Simplify (* 1 1) into 1
2.397 * [backup-simplify]: Simplify (/ 1 1) into 1
2.397 * [backup-simplify]: Simplify (+ 0 1) into 1
2.398 * [taylor]: Taking taylor expansion of 1 in im
2.398 * [backup-simplify]: Simplify 1 into 1
2.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.399 * [backup-simplify]: Simplify (+ 0 0) into 0
2.399 * [taylor]: Taking taylor expansion of 0 in im
2.399 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.400 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.400 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.400 * [taylor]: Taking taylor expansion of im in im
2.400 * [backup-simplify]: Simplify 0 into 0
2.400 * [backup-simplify]: Simplify 1 into 1
2.400 * [backup-simplify]: Simplify (* 1 1) into 1
2.400 * [backup-simplify]: Simplify (/ 1 1) into 1
2.400 * [backup-simplify]: Simplify 1 into 1
2.400 * [backup-simplify]: Simplify 1 into 1
2.400 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.402 * [backup-simplify]: Simplify (+ 0 0) into 0
2.402 * [taylor]: Taking taylor expansion of 0 in im
2.402 * [backup-simplify]: Simplify 0 into 0
2.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
2.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.405 * [backup-simplify]: Simplify (+ 0 0) into 0
2.405 * [taylor]: Taking taylor expansion of 0 in im
2.405 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
2.406 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
2.406 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
2.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.406 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.406 * [taylor]: Taking taylor expansion of im in im
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 1 into 1
2.407 * [backup-simplify]: Simplify (* 1 1) into 1
2.407 * [backup-simplify]: Simplify (/ 1 1) into 1
2.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.407 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.407 * [taylor]: Taking taylor expansion of re in im
2.407 * [backup-simplify]: Simplify re into re
2.407 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.407 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.407 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.407 * [taylor]: Taking taylor expansion of im in re
2.407 * [backup-simplify]: Simplify im into im
2.407 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.407 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.407 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.407 * [taylor]: Taking taylor expansion of re in re
2.407 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify 1 into 1
2.408 * [backup-simplify]: Simplify (* 1 1) into 1
2.408 * [backup-simplify]: Simplify (/ 1 1) into 1
2.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.408 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.408 * [taylor]: Taking taylor expansion of im in re
2.408 * [backup-simplify]: Simplify im into im
2.408 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.408 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.408 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.408 * [taylor]: Taking taylor expansion of re in re
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 1 into 1
2.408 * [backup-simplify]: Simplify (* 1 1) into 1
2.409 * [backup-simplify]: Simplify (/ 1 1) into 1
2.409 * [backup-simplify]: Simplify (+ 0 1) into 1
2.409 * [taylor]: Taking taylor expansion of 1 in im
2.409 * [backup-simplify]: Simplify 1 into 1
2.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.410 * [backup-simplify]: Simplify (+ 0 0) into 0
2.410 * [taylor]: Taking taylor expansion of 0 in im
2.410 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.411 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.411 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.411 * [taylor]: Taking taylor expansion of im in im
2.411 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify 1 into 1
2.412 * [backup-simplify]: Simplify (* 1 1) into 1
2.412 * [backup-simplify]: Simplify (/ 1 1) into 1
2.412 * [backup-simplify]: Simplify 1 into 1
2.412 * [backup-simplify]: Simplify 1 into 1
2.412 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.413 * [backup-simplify]: Simplify (+ 0 0) into 0
2.413 * [taylor]: Taking taylor expansion of 0 in im
2.413 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
2.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.416 * [backup-simplify]: Simplify (+ 0 0) into 0
2.416 * [taylor]: Taking taylor expansion of 0 in im
2.416 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
2.418 * * * [progress]: simplifying candidates
2.419 * [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 (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (exp (log (sqrt (+ (* re re) (* im im))))) re)
  (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (exp (log (sqrt (cbrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (exp (log (sqrt (- (* re re) (* im im)))))
  (log (exp (log (sqrt (+ (* re re) (* im im))))))
  (exp (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))
  (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
2.420 * * [simplify]: Extracting # 0 : cost  0
2.420 * * [simplify]: Extracting # 1 : cost  0
2.420 * * [simplify]: Extracting # 2 : cost  0
2.420 * * [simplify]: Extracting # 3 : cost  0
2.420 * * [simplify]: Extracting # 4 : cost  0
2.421 * * [simplify]: Extracting # 5 : cost  0
2.421 * * [simplify]: Extracting # 6 : cost  0
2.421 * * [simplify]: iteration  0 :  108  enodes  (cost  993 )
2.442 * * [simplify]: Extracting # 0 : cost  0
2.443 * * [simplify]: Extracting # 1 : cost  0
2.443 * * [simplify]: Extracting # 2 : cost  0
2.443 * * [simplify]: Extracting # 3 : cost  0
2.443 * * [simplify]: Extracting # 4 : cost  0
2.444 * * [simplify]: iteration  1 :  220  enodes  (cost  795 )
2.508 * * [simplify]: Extracting # 0 : cost  0
2.509 * * [simplify]: Extracting # 1 : cost  0
2.509 * * [simplify]: Extracting # 2 : cost  0
2.509 * * [simplify]: Extracting # 3 : cost  0
2.510 * * [simplify]: Extracting # 4 : cost  0
2.510 * * [simplify]: iteration  2 :  537  enodes  (cost  707 )
2.692 * * [simplify]: Extracting # 0 : cost  0
2.693 * * [simplify]: Extracting # 1 : cost  0
2.695 * * [simplify]: Extracting # 2 : cost  0
2.696 * * [simplify]: Extracting # 3 : cost  0
2.697 * * [simplify]: Extracting # 4 : cost  0
2.698 * * [simplify]: iteration  3 :  1372  enodes  (cost  699 )
3.436 * * [simplify]: Extracting # 0 : cost  0
3.440 * * [simplify]: Extracting # 1 : cost  0
3.443 * * [simplify]: Extracting # 2 : cost  0
3.446 * * [simplify]: Extracting # 3 : cost  0
3.449 * * [simplify]: Extracting # 4 : cost  0
3.453 * * [simplify]: Extracting # 5 : cost  0
3.456 * * [simplify]: iteration  4 :  3820  enodes  (cost  691 )
4.503 * * [simplify]: Extracting # 0 : cost  0
4.508 * * [simplify]: Extracting # 1 : cost  0
4.512 * * [simplify]: Extracting # 2 : cost  0
4.523 * * [simplify]: Extracting # 3 : cost  0
4.528 * * [simplify]: Extracting # 4 : cost  0
4.533 * * [simplify]: iteration done:  5001  enodes  (cost  691 )
4.533 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (pow (+ re (sqrt (+ (* re re) (* im im)))) 3)
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ re (sqrt (+ (* re re) (* im im))))
  (exp 1/2)
  E
  (exp 1/2)
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  E
  (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (* re re) (* 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)))
  (pow (+ (* re re) (* im im)) 3)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow im 6) (pow re 6))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (- (* re re) (* im im))
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  im
  re
  (- re)
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
4.534 * * * [progress]: adding candidates to table
4.722 * * [progress]: iteration 3 / 4
4.722 * * * [progress]: picking best candidate
4.739 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))))>
4.739 * * * [progress]: localizing error
4.759 * * * [progress]: generating rewritten candidates
4.759 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
4.767 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
4.811 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1)
4.821 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
4.859 * * * [progress]: generating series expansions
4.859 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
4.859 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.859 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.859 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.859 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.859 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.859 * [taylor]: Taking taylor expansion of re in im
4.859 * [backup-simplify]: Simplify re into re
4.859 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.859 * [taylor]: Taking taylor expansion of im in im
4.859 * [backup-simplify]: Simplify 0 into 0
4.859 * [backup-simplify]: Simplify 1 into 1
4.859 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.859 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.859 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.859 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.860 * [backup-simplify]: Simplify (+ 0 0) into 0
4.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.860 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.860 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.860 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.860 * [taylor]: Taking taylor expansion of re in re
4.860 * [backup-simplify]: Simplify 0 into 0
4.860 * [backup-simplify]: Simplify 1 into 1
4.860 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.860 * [taylor]: Taking taylor expansion of im in re
4.860 * [backup-simplify]: Simplify im into im
4.860 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.860 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.860 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.860 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.861 * [backup-simplify]: Simplify (+ 0 0) into 0
4.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.861 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.861 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.861 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.861 * [taylor]: Taking taylor expansion of re in re
4.861 * [backup-simplify]: Simplify 0 into 0
4.861 * [backup-simplify]: Simplify 1 into 1
4.861 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.861 * [taylor]: Taking taylor expansion of im in re
4.861 * [backup-simplify]: Simplify im into im
4.861 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.861 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.861 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.861 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.861 * [backup-simplify]: Simplify (+ 0 0) into 0
4.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.862 * [taylor]: Taking taylor expansion of im in im
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify 1 into 1
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [taylor]: Taking taylor expansion of 0 in im
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify 1 into 1
4.862 * [backup-simplify]: Simplify (* 1 1) into 1
4.862 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.862 * [backup-simplify]: Simplify (+ 1 0) into 1
4.863 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.863 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.863 * [taylor]: Taking taylor expansion of 1/2 in im
4.863 * [backup-simplify]: Simplify 1/2 into 1/2
4.863 * [taylor]: Taking taylor expansion of im in im
4.863 * [backup-simplify]: Simplify 0 into 0
4.863 * [backup-simplify]: Simplify 1 into 1
4.863 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.864 * [backup-simplify]: Simplify 0 into 0
4.864 * [backup-simplify]: Simplify 0 into 0
4.864 * [backup-simplify]: Simplify 0 into 0
4.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.865 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.865 * [backup-simplify]: Simplify (+ 0 0) into 0
4.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.865 * [taylor]: Taking taylor expansion of 0 in im
4.865 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify 0 into 0
4.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.866 * [backup-simplify]: Simplify 0 into 0
4.866 * [backup-simplify]: Simplify 0 into 0
4.866 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.866 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.866 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.866 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.866 * [taylor]: Taking taylor expansion of im in im
4.866 * [backup-simplify]: Simplify 0 into 0
4.866 * [backup-simplify]: Simplify 1 into 1
4.866 * [backup-simplify]: Simplify (* 1 1) into 1
4.867 * [backup-simplify]: Simplify (/ 1 1) into 1
4.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.867 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.867 * [taylor]: Taking taylor expansion of re in im
4.867 * [backup-simplify]: Simplify re into re
4.867 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.867 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.867 * [backup-simplify]: Simplify (+ 1 0) into 1
4.867 * [backup-simplify]: Simplify (sqrt 1) into 1
4.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.868 * [backup-simplify]: Simplify (+ 0 0) into 0
4.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.869 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.869 * [taylor]: Taking taylor expansion of im in re
4.869 * [backup-simplify]: Simplify im into im
4.869 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.869 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.869 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.869 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.869 * [taylor]: Taking taylor expansion of re in re
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify 1 into 1
4.869 * [backup-simplify]: Simplify (* 1 1) into 1
4.870 * [backup-simplify]: Simplify (/ 1 1) into 1
4.870 * [backup-simplify]: Simplify (+ 0 1) into 1
4.870 * [backup-simplify]: Simplify (sqrt 1) into 1
4.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.871 * [backup-simplify]: Simplify (+ 0 0) into 0
4.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.872 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.872 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.872 * [taylor]: Taking taylor expansion of im in re
4.872 * [backup-simplify]: Simplify im into im
4.872 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.872 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.872 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.872 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.872 * [taylor]: Taking taylor expansion of re in re
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify 1 into 1
4.872 * [backup-simplify]: Simplify (* 1 1) into 1
4.872 * [backup-simplify]: Simplify (/ 1 1) into 1
4.873 * [backup-simplify]: Simplify (+ 0 1) into 1
4.873 * [backup-simplify]: Simplify (sqrt 1) into 1
4.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.874 * [backup-simplify]: Simplify (+ 0 0) into 0
4.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.874 * [taylor]: Taking taylor expansion of 1 in im
4.874 * [backup-simplify]: Simplify 1 into 1
4.874 * [taylor]: Taking taylor expansion of 0 in im
4.874 * [backup-simplify]: Simplify 0 into 0
4.874 * [backup-simplify]: Simplify 1 into 1
4.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.876 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.876 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.876 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.876 * [taylor]: Taking taylor expansion of 1/2 in im
4.876 * [backup-simplify]: Simplify 1/2 into 1/2
4.877 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.877 * [taylor]: Taking taylor expansion of im in im
4.877 * [backup-simplify]: Simplify 0 into 0
4.877 * [backup-simplify]: Simplify 1 into 1
4.877 * [backup-simplify]: Simplify (* 1 1) into 1
4.877 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.880 * [backup-simplify]: Simplify (+ 0 0) into 0
4.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.880 * [taylor]: Taking taylor expansion of 0 in im
4.880 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.882 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.882 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.882 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.882 * [taylor]: Taking taylor expansion of im in im
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 1 into 1
4.882 * [backup-simplify]: Simplify (* 1 1) into 1
4.882 * [backup-simplify]: Simplify (/ 1 1) into 1
4.882 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.882 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.882 * [taylor]: Taking taylor expansion of re in im
4.882 * [backup-simplify]: Simplify re into re
4.882 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.882 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.883 * [backup-simplify]: Simplify (+ 1 0) into 1
4.883 * [backup-simplify]: Simplify (sqrt 1) into 1
4.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.884 * [backup-simplify]: Simplify (+ 0 0) into 0
4.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.885 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.885 * [taylor]: Taking taylor expansion of im in re
4.885 * [backup-simplify]: Simplify im into im
4.885 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.885 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.885 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.885 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.885 * [taylor]: Taking taylor expansion of re in re
4.885 * [backup-simplify]: Simplify 0 into 0
4.885 * [backup-simplify]: Simplify 1 into 1
4.885 * [backup-simplify]: Simplify (* 1 1) into 1
4.885 * [backup-simplify]: Simplify (/ 1 1) into 1
4.886 * [backup-simplify]: Simplify (+ 0 1) into 1
4.886 * [backup-simplify]: Simplify (sqrt 1) into 1
4.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.887 * [backup-simplify]: Simplify (+ 0 0) into 0
4.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.887 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.887 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.887 * [taylor]: Taking taylor expansion of im in re
4.887 * [backup-simplify]: Simplify im into im
4.888 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.888 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.888 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.888 * [taylor]: Taking taylor expansion of re in re
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 1 into 1
4.888 * [backup-simplify]: Simplify (* 1 1) into 1
4.888 * [backup-simplify]: Simplify (/ 1 1) into 1
4.888 * [backup-simplify]: Simplify (+ 0 1) into 1
4.889 * [backup-simplify]: Simplify (sqrt 1) into 1
4.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.890 * [backup-simplify]: Simplify (+ 0 0) into 0
4.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.890 * [taylor]: Taking taylor expansion of 1 in im
4.890 * [backup-simplify]: Simplify 1 into 1
4.890 * [taylor]: Taking taylor expansion of 0 in im
4.890 * [backup-simplify]: Simplify 0 into 0
4.890 * [backup-simplify]: Simplify 1 into 1
4.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.891 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.892 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.892 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.892 * [taylor]: Taking taylor expansion of 1/2 in im
4.892 * [backup-simplify]: Simplify 1/2 into 1/2
4.892 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.892 * [taylor]: Taking taylor expansion of im in im
4.892 * [backup-simplify]: Simplify 0 into 0
4.892 * [backup-simplify]: Simplify 1 into 1
4.893 * [backup-simplify]: Simplify (* 1 1) into 1
4.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.894 * [backup-simplify]: Simplify 0 into 0
4.894 * [backup-simplify]: Simplify 0 into 0
4.894 * [backup-simplify]: Simplify 0 into 0
4.894 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.895 * [backup-simplify]: Simplify (+ 0 0) into 0
4.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.896 * [taylor]: Taking taylor expansion of 0 in im
4.896 * [backup-simplify]: Simplify 0 into 0
4.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.897 * [backup-simplify]: Simplify 0 into 0
4.897 * [backup-simplify]: Simplify 0 into 0
4.897 * [backup-simplify]: Simplify 0 into 0
4.897 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.897 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
4.897 * [backup-simplify]: Simplify (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re) into (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2))))))
4.897 * [approximate]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
4.897 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in im
4.897 * [taylor]: Taking taylor expansion of re in im
4.897 * [backup-simplify]: Simplify re into re
4.897 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in im
4.897 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in im
4.897 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in im
4.897 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im
4.897 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.897 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.897 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.897 * [taylor]: Taking taylor expansion of re in im
4.897 * [backup-simplify]: Simplify re into re
4.897 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.898 * [taylor]: Taking taylor expansion of im in im
4.898 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify 1 into 1
4.898 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.898 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.898 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.898 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.898 * [backup-simplify]: Simplify (+ 0 0) into 0
4.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.898 * [backup-simplify]: Simplify (log re) into (log re)
4.898 * [taylor]: Taking taylor expansion of (log E) in im
4.898 * [taylor]: Taking taylor expansion of E in im
4.898 * [backup-simplify]: Simplify E into E
4.898 * [backup-simplify]: Simplify (log E) into 1
4.898 * [backup-simplify]: Simplify (* (log re) 1) into (log re)
4.898 * [backup-simplify]: Simplify (exp (log re)) into re
4.898 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in re
4.898 * [taylor]: Taking taylor expansion of re in re
4.898 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify 1 into 1
4.898 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re
4.898 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re
4.898 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re
4.899 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re
4.899 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.899 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.899 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.899 * [taylor]: Taking taylor expansion of re in re
4.899 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify 1 into 1
4.899 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.899 * [taylor]: Taking taylor expansion of im in re
4.899 * [backup-simplify]: Simplify im into im
4.899 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.899 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.899 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.899 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.899 * [backup-simplify]: Simplify (+ 0 0) into 0
4.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.899 * [backup-simplify]: Simplify (log im) into (log im)
4.899 * [taylor]: Taking taylor expansion of (log E) in re
4.899 * [taylor]: Taking taylor expansion of E in re
4.899 * [backup-simplify]: Simplify E into E
4.899 * [backup-simplify]: Simplify (log E) into 1
4.899 * [backup-simplify]: Simplify (* (log im) 1) into (log im)
4.899 * [backup-simplify]: Simplify (exp (log im)) into im
4.900 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in re
4.900 * [taylor]: Taking taylor expansion of re in re
4.900 * [backup-simplify]: Simplify 0 into 0
4.900 * [backup-simplify]: Simplify 1 into 1
4.900 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re
4.900 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re
4.900 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re
4.900 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re
4.900 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.900 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.900 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.900 * [taylor]: Taking taylor expansion of re in re
4.900 * [backup-simplify]: Simplify 0 into 0
4.900 * [backup-simplify]: Simplify 1 into 1
4.900 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.900 * [taylor]: Taking taylor expansion of im in re
4.900 * [backup-simplify]: Simplify im into im
4.900 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.900 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.900 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.900 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.900 * [backup-simplify]: Simplify (+ 0 0) into 0
4.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.900 * [backup-simplify]: Simplify (log im) into (log im)
4.900 * [taylor]: Taking taylor expansion of (log E) in re
4.900 * [taylor]: Taking taylor expansion of E in re
4.901 * [backup-simplify]: Simplify E into E
4.901 * [backup-simplify]: Simplify (log E) into 1
4.901 * [backup-simplify]: Simplify (* (log im) 1) into (log im)
4.901 * [backup-simplify]: Simplify (exp (log im)) into im
4.901 * [backup-simplify]: Simplify (+ 0 im) into im
4.901 * [taylor]: Taking taylor expansion of im in im
4.901 * [backup-simplify]: Simplify 0 into 0
4.901 * [backup-simplify]: Simplify 1 into 1
4.901 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
4.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
4.902 * [backup-simplify]: Simplify (+ (* (log im) 0) (* 0 1)) into 0
4.903 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.903 * [backup-simplify]: Simplify (+ 1 0) into 1
4.903 * [taylor]: Taking taylor expansion of 1 in im
4.903 * [backup-simplify]: Simplify 1 into 1
4.903 * [backup-simplify]: Simplify 1 into 1
4.903 * [backup-simplify]: Simplify 1 into 1
4.905 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0
4.905 * [backup-simplify]: Simplify (* 1 1) into 1
4.906 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.906 * [backup-simplify]: Simplify (+ 1 0) into 1
4.906 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.907 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
4.907 * [backup-simplify]: Simplify (+ (* (log im) 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 1/2 (/ 1 (pow im 2)))
4.908 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im)
4.908 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
4.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.908 * [taylor]: Taking taylor expansion of 1/2 in im
4.908 * [backup-simplify]: Simplify 1/2 into 1/2
4.908 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.908 * [taylor]: Taking taylor expansion of im in im
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify 1 into 1
4.908 * [backup-simplify]: Simplify (/ 1 1) into 1
4.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) into 0
4.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.913 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.913 * [backup-simplify]: Simplify (+ 0 0) into 0
4.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.915 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
4.916 * [backup-simplify]: Simplify (+ (* (log im) 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0
4.917 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.917 * [backup-simplify]: Simplify (+ 0 0) into 0
4.917 * [taylor]: Taking taylor expansion of 0 in im
4.917 * [backup-simplify]: Simplify 0 into 0
4.917 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.918 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
4.919 * [backup-simplify]: Simplify (+ (pow E (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))
4.919 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0
4.919 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
4.919 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.919 * [taylor]: Taking taylor expansion of re in im
4.919 * [backup-simplify]: Simplify re into re
4.919 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.919 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.919 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im
4.919 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im
4.919 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.919 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.919 * [taylor]: Taking taylor expansion of im in im
4.919 * [backup-simplify]: Simplify 0 into 0
4.919 * [backup-simplify]: Simplify 1 into 1
4.919 * [backup-simplify]: Simplify (* 1 1) into 1
4.919 * [backup-simplify]: Simplify (/ 1 1) into 1
4.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.920 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.920 * [taylor]: Taking taylor expansion of re in im
4.920 * [backup-simplify]: Simplify re into re
4.920 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.920 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.920 * [backup-simplify]: Simplify (+ 1 0) into 1
4.920 * [backup-simplify]: Simplify (sqrt 1) into 1
4.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.921 * [backup-simplify]: Simplify (+ 0 0) into 0
4.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.922 * [backup-simplify]: Simplify (log 1) into 0
4.922 * [taylor]: Taking taylor expansion of (log E) in im
4.922 * [taylor]: Taking taylor expansion of E in im
4.922 * [backup-simplify]: Simplify E into E
4.922 * [backup-simplify]: Simplify (log E) into 1
4.922 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
4.922 * [backup-simplify]: Simplify (* (- (log im)) 1) into (* -1 (log im))
4.922 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
4.922 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
4.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.922 * [taylor]: Taking taylor expansion of re in re
4.922 * [backup-simplify]: Simplify 0 into 0
4.922 * [backup-simplify]: Simplify 1 into 1
4.923 * [backup-simplify]: Simplify (/ 1 1) into 1
4.923 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.923 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
4.923 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
4.923 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.923 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.923 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.923 * [taylor]: Taking taylor expansion of im in re
4.923 * [backup-simplify]: Simplify im into im
4.923 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.923 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.923 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.923 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.923 * [taylor]: Taking taylor expansion of re in re
4.923 * [backup-simplify]: Simplify 0 into 0
4.923 * [backup-simplify]: Simplify 1 into 1
4.923 * [backup-simplify]: Simplify (* 1 1) into 1
4.924 * [backup-simplify]: Simplify (/ 1 1) into 1
4.924 * [backup-simplify]: Simplify (+ 0 1) into 1
4.924 * [backup-simplify]: Simplify (sqrt 1) into 1
4.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.925 * [backup-simplify]: Simplify (+ 0 0) into 0
4.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.926 * [backup-simplify]: Simplify (log 1) into 0
4.926 * [taylor]: Taking taylor expansion of (log E) in re
4.926 * [taylor]: Taking taylor expansion of E in re
4.926 * [backup-simplify]: Simplify E into E
4.926 * [backup-simplify]: Simplify (log E) into 1
4.926 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
4.926 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
4.926 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.926 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
4.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.926 * [taylor]: Taking taylor expansion of re in re
4.926 * [backup-simplify]: Simplify 0 into 0
4.926 * [backup-simplify]: Simplify 1 into 1
4.926 * [backup-simplify]: Simplify (/ 1 1) into 1
4.926 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.926 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
4.926 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
4.927 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.927 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.927 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.927 * [taylor]: Taking taylor expansion of im in re
4.927 * [backup-simplify]: Simplify im into im
4.927 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.927 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.927 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.927 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.927 * [taylor]: Taking taylor expansion of re in re
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify 1 into 1
4.927 * [backup-simplify]: Simplify (* 1 1) into 1
4.927 * [backup-simplify]: Simplify (/ 1 1) into 1
4.928 * [backup-simplify]: Simplify (+ 0 1) into 1
4.928 * [backup-simplify]: Simplify (sqrt 1) into 1
4.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.929 * [backup-simplify]: Simplify (+ 0 0) into 0
4.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.930 * [backup-simplify]: Simplify (log 1) into 0
4.930 * [taylor]: Taking taylor expansion of (log E) in re
4.930 * [taylor]: Taking taylor expansion of E in re
4.930 * [backup-simplify]: Simplify E into E
4.930 * [backup-simplify]: Simplify (log E) into 1
4.930 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
4.930 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
4.930 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.931 * [backup-simplify]: Simplify (+ 1 0) into 1
4.931 * [taylor]: Taking taylor expansion of 1 in im
4.931 * [backup-simplify]: Simplify 1 into 1
4.931 * [backup-simplify]: Simplify 1 into 1
4.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.931 * [backup-simplify]: Simplify (+ 0 (pow re -1)) into (pow re -1)
4.931 * [taylor]: Taking taylor expansion of (pow re -1) in im
4.931 * [taylor]: Taking taylor expansion of re in im
4.931 * [backup-simplify]: Simplify re into re
4.932 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.932 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.932 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.932 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
4.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
4.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.934 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (* 0 1)) into 0
4.935 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.935 * [backup-simplify]: Simplify (+ 0 0) into 0
4.935 * [taylor]: Taking taylor expansion of 0 in im
4.935 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.935 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.936 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
4.941 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0
4.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.942 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.943 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.944 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
4.945 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 1/2 (/ 1 (pow im 2)))
4.945 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2)))
4.945 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* re (pow im 2)))) into (* 1/2 (/ 1 (* re (pow im 2))))
4.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im
4.945 * [taylor]: Taking taylor expansion of 1/2 in im
4.945 * [backup-simplify]: Simplify 1/2 into 1/2
4.945 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im
4.945 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im
4.945 * [taylor]: Taking taylor expansion of re in im
4.945 * [backup-simplify]: Simplify re into re
4.945 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.945 * [taylor]: Taking taylor expansion of im in im
4.945 * [backup-simplify]: Simplify 0 into 0
4.946 * [backup-simplify]: Simplify 1 into 1
4.946 * [backup-simplify]: Simplify (* 1 1) into 1
4.946 * [backup-simplify]: Simplify (* re 1) into re
4.946 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.947 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0
4.947 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0
4.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0
4.948 * [backup-simplify]: Simplify 0 into 0
4.948 * [backup-simplify]: Simplify 0 into 0
4.948 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 re)) (* 1 (* 1 (/ 1 (/ 1 re))))) into (* 2 re)
4.949 * [backup-simplify]: Simplify (+ (pow E (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re))
4.949 * [approximate]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in (re im) around 0
4.949 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in im
4.949 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.949 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im
4.949 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im
4.949 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.949 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.949 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.949 * [taylor]: Taking taylor expansion of im in im
4.949 * [backup-simplify]: Simplify 0 into 0
4.949 * [backup-simplify]: Simplify 1 into 1
4.949 * [backup-simplify]: Simplify (* 1 1) into 1
4.949 * [backup-simplify]: Simplify (/ 1 1) into 1
4.949 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.949 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.949 * [taylor]: Taking taylor expansion of re in im
4.949 * [backup-simplify]: Simplify re into re
4.949 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.949 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.950 * [backup-simplify]: Simplify (+ 1 0) into 1
4.950 * [backup-simplify]: Simplify (sqrt 1) into 1
4.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.951 * [backup-simplify]: Simplify (+ 0 0) into 0
4.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.952 * [backup-simplify]: Simplify (log 1) into 0
4.952 * [taylor]: Taking taylor expansion of (log E) in im
4.952 * [taylor]: Taking taylor expansion of E in im
4.952 * [backup-simplify]: Simplify E into E
4.952 * [backup-simplify]: Simplify (log E) into 1
4.952 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
4.952 * [backup-simplify]: Simplify (* (- (log im)) 1) into (* -1 (log im))
4.952 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
4.952 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.952 * [taylor]: Taking taylor expansion of re in im
4.952 * [backup-simplify]: Simplify re into re
4.952 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.952 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in re
4.952 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.952 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
4.952 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
4.952 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.952 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.952 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.952 * [taylor]: Taking taylor expansion of im in re
4.952 * [backup-simplify]: Simplify im into im
4.952 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.953 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.953 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.953 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.953 * [taylor]: Taking taylor expansion of re in re
4.953 * [backup-simplify]: Simplify 0 into 0
4.953 * [backup-simplify]: Simplify 1 into 1
4.953 * [backup-simplify]: Simplify (* 1 1) into 1
4.953 * [backup-simplify]: Simplify (/ 1 1) into 1
4.953 * [backup-simplify]: Simplify (+ 0 1) into 1
4.954 * [backup-simplify]: Simplify (sqrt 1) into 1
4.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.955 * [backup-simplify]: Simplify (+ 0 0) into 0
4.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.955 * [backup-simplify]: Simplify (log 1) into 0
4.955 * [taylor]: Taking taylor expansion of (log E) in re
4.955 * [taylor]: Taking taylor expansion of E in re
4.955 * [backup-simplify]: Simplify E into E
4.955 * [backup-simplify]: Simplify (log E) into 1
4.956 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
4.956 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
4.956 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.956 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.956 * [taylor]: Taking taylor expansion of re in re
4.956 * [backup-simplify]: Simplify 0 into 0
4.956 * [backup-simplify]: Simplify 1 into 1
4.956 * [backup-simplify]: Simplify (/ 1 1) into 1
4.956 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in re
4.956 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.956 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
4.956 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
4.956 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.956 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.956 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.956 * [taylor]: Taking taylor expansion of im in re
4.956 * [backup-simplify]: Simplify im into im
4.956 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.956 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.956 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.956 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.956 * [taylor]: Taking taylor expansion of re in re
4.956 * [backup-simplify]: Simplify 0 into 0
4.956 * [backup-simplify]: Simplify 1 into 1
4.957 * [backup-simplify]: Simplify (* 1 1) into 1
4.957 * [backup-simplify]: Simplify (/ 1 1) into 1
4.957 * [backup-simplify]: Simplify (+ 0 1) into 1
4.957 * [backup-simplify]: Simplify (sqrt 1) into 1
4.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.958 * [backup-simplify]: Simplify (+ 0 0) into 0
4.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.959 * [backup-simplify]: Simplify (log 1) into 0
4.959 * [taylor]: Taking taylor expansion of (log E) in re
4.959 * [taylor]: Taking taylor expansion of E in re
4.959 * [backup-simplify]: Simplify E into E
4.959 * [backup-simplify]: Simplify (log E) into 1
4.959 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
4.960 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
4.960 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.960 * [taylor]: Taking taylor expansion of re in re
4.960 * [backup-simplify]: Simplify 0 into 0
4.960 * [backup-simplify]: Simplify 1 into 1
4.960 * [backup-simplify]: Simplify (/ 1 1) into 1
4.960 * [backup-simplify]: Simplify (- 1) into -1
4.960 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.960 * [taylor]: Taking taylor expansion of -1 in im
4.960 * [backup-simplify]: Simplify -1 into -1
4.960 * [backup-simplify]: Simplify -1 into -1
4.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.961 * [backup-simplify]: Simplify (- 0) into 0
4.961 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1)
4.961 * [taylor]: Taking taylor expansion of (pow re -1) in im
4.961 * [taylor]: Taking taylor expansion of re in im
4.961 * [backup-simplify]: Simplify re into re
4.961 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.961 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.961 * [backup-simplify]: Simplify 0 into 0
4.962 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
4.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
4.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.964 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (* 0 1)) into 0
4.964 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.965 * [backup-simplify]: Simplify (- 0) into 0
4.965 * [backup-simplify]: Simplify (+ 0 0) into 0
4.965 * [taylor]: Taking taylor expansion of 0 in im
4.965 * [backup-simplify]: Simplify 0 into 0
4.965 * [backup-simplify]: Simplify 0 into 0
4.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.965 * [backup-simplify]: Simplify 0 into 0
4.965 * [backup-simplify]: Simplify 0 into 0
4.966 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
4.967 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0
4.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.968 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.969 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.970 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
4.971 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 1/2 (/ 1 (pow im 2)))
4.971 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2)))
4.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.972 * [backup-simplify]: Simplify (- 0) into 0
4.972 * [backup-simplify]: Simplify (+ (/ 1/2 (* re (pow im 2))) 0) into (* 1/2 (/ 1 (* re (pow im 2))))
4.972 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im
4.972 * [taylor]: Taking taylor expansion of 1/2 in im
4.973 * [backup-simplify]: Simplify 1/2 into 1/2
4.973 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im
4.973 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im
4.973 * [taylor]: Taking taylor expansion of re in im
4.973 * [backup-simplify]: Simplify re into re
4.973 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.973 * [taylor]: Taking taylor expansion of im in im
4.973 * [backup-simplify]: Simplify 0 into 0
4.973 * [backup-simplify]: Simplify 1 into 1
4.973 * [backup-simplify]: Simplify (* 1 1) into 1
4.973 * [backup-simplify]: Simplify (* re 1) into re
4.973 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.974 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0
4.975 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0
4.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 (- re))) (* -1 (* 1 (/ 1 (/ 1 (- re)))))) into 0
4.975 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1)
4.976 * [backup-simplify]: Simplify (pow E (log (sqrt (+ (* re re) (* im im))))) into (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))
4.976 * [approximate]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in (re im) around 0
4.976 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in im
4.976 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in im
4.976 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in im
4.976 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im
4.976 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.976 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.976 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.976 * [taylor]: Taking taylor expansion of re in im
4.976 * [backup-simplify]: Simplify re into re
4.976 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.976 * [taylor]: Taking taylor expansion of im in im
4.976 * [backup-simplify]: Simplify 0 into 0
4.976 * [backup-simplify]: Simplify 1 into 1
4.976 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.976 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.976 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.976 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.976 * [backup-simplify]: Simplify (+ 0 0) into 0
4.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.977 * [backup-simplify]: Simplify (log re) into (log re)
4.977 * [taylor]: Taking taylor expansion of (log E) in im
4.977 * [taylor]: Taking taylor expansion of E in im
4.977 * [backup-simplify]: Simplify E into E
4.977 * [backup-simplify]: Simplify (log E) into 1
4.977 * [backup-simplify]: Simplify (* (log re) 1) into (log re)
4.977 * [backup-simplify]: Simplify (exp (log re)) into re
4.977 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re
4.977 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re
4.977 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re
4.977 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re
4.977 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.977 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.977 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.977 * [taylor]: Taking taylor expansion of re in re
4.977 * [backup-simplify]: Simplify 0 into 0
4.977 * [backup-simplify]: Simplify 1 into 1
4.977 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.977 * [taylor]: Taking taylor expansion of im in re
4.977 * [backup-simplify]: Simplify im into im
4.977 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.977 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.977 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.977 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.977 * [backup-simplify]: Simplify (+ 0 0) into 0
4.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.978 * [backup-simplify]: Simplify (log im) into (log im)
4.978 * [taylor]: Taking taylor expansion of (log E) in re
4.978 * [taylor]: Taking taylor expansion of E in re
4.978 * [backup-simplify]: Simplify E into E
4.978 * [backup-simplify]: Simplify (log E) into 1
4.978 * [backup-simplify]: Simplify (* (log im) 1) into (log im)
4.978 * [backup-simplify]: Simplify (exp (log im)) into im
4.978 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re
4.978 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re
4.978 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re
4.978 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re
4.978 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.978 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.978 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.978 * [taylor]: Taking taylor expansion of re in re
4.978 * [backup-simplify]: Simplify 0 into 0
4.978 * [backup-simplify]: Simplify 1 into 1
4.978 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.978 * [taylor]: Taking taylor expansion of im in re
4.978 * [backup-simplify]: Simplify im into im
4.978 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.978 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.978 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.978 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.979 * [backup-simplify]: Simplify (+ 0 0) into 0
4.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.979 * [backup-simplify]: Simplify (log im) into (log im)
4.979 * [taylor]: Taking taylor expansion of (log E) in re
4.979 * [taylor]: Taking taylor expansion of E in re
4.979 * [backup-simplify]: Simplify E into E
4.979 * [backup-simplify]: Simplify (log E) into 1
4.979 * [backup-simplify]: Simplify (* (log im) 1) into (log im)
4.979 * [backup-simplify]: Simplify (exp (log im)) into im
4.979 * [taylor]: Taking taylor expansion of im in im
4.979 * [backup-simplify]: Simplify 0 into 0
4.979 * [backup-simplify]: Simplify 1 into 1
4.979 * [backup-simplify]: Simplify 0 into 0
4.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
4.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
4.981 * [backup-simplify]: Simplify (+ (* (log im) 0) (* 0 1)) into 0
4.981 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.981 * [taylor]: Taking taylor expansion of 0 in im
4.981 * [backup-simplify]: Simplify 0 into 0
4.981 * [backup-simplify]: Simplify 0 into 0
4.981 * [backup-simplify]: Simplify 1 into 1
4.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0
4.983 * [backup-simplify]: Simplify (* 1 1) into 1
4.984 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.984 * [backup-simplify]: Simplify (+ 1 0) into 1
4.984 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.985 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
4.986 * [backup-simplify]: Simplify (+ (* (log im) 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 1/2 (/ 1 (pow im 2)))
4.986 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im)
4.986 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.986 * [taylor]: Taking taylor expansion of 1/2 in im
4.986 * [backup-simplify]: Simplify 1/2 into 1/2
4.986 * [taylor]: Taking taylor expansion of im in im
4.986 * [backup-simplify]: Simplify 0 into 0
4.986 * [backup-simplify]: Simplify 1 into 1
4.987 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.987 * [backup-simplify]: Simplify 0 into 0
4.987 * [backup-simplify]: Simplify 0 into 0
4.987 * [backup-simplify]: Simplify 0 into 0
4.990 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) into 0
4.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.991 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.991 * [backup-simplify]: Simplify (+ 0 0) into 0
4.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.993 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
4.993 * [backup-simplify]: Simplify (+ (* (log im) 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0
4.995 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.995 * [taylor]: Taking taylor expansion of 0 in im
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.996 * [backup-simplify]: Simplify (pow E (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))
4.996 * [approximate]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in (re im) around 0
4.996 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.996 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im
4.996 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im
4.996 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.996 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.996 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.996 * [taylor]: Taking taylor expansion of im in im
4.996 * [backup-simplify]: Simplify 0 into 0
4.996 * [backup-simplify]: Simplify 1 into 1
4.996 * [backup-simplify]: Simplify (* 1 1) into 1
4.996 * [backup-simplify]: Simplify (/ 1 1) into 1
4.996 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.996 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.996 * [taylor]: Taking taylor expansion of re in im
4.996 * [backup-simplify]: Simplify re into re
4.996 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.996 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.997 * [backup-simplify]: Simplify (+ 1 0) into 1
4.997 * [backup-simplify]: Simplify (sqrt 1) into 1
4.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.998 * [backup-simplify]: Simplify (+ 0 0) into 0
4.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.999 * [backup-simplify]: Simplify (log 1) into 0
4.999 * [taylor]: Taking taylor expansion of (log E) in im
4.999 * [taylor]: Taking taylor expansion of E in im
4.999 * [backup-simplify]: Simplify E into E
4.999 * [backup-simplify]: Simplify (log E) into 1
4.999 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
4.999 * [backup-simplify]: Simplify (* (- (log im)) 1) into (* -1 (log im))
4.999 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
4.999 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.999 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
4.999 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
4.999 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.999 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.999 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.999 * [taylor]: Taking taylor expansion of im in re
4.999 * [backup-simplify]: Simplify im into im
4.999 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.999 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.999 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.999 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.999 * [taylor]: Taking taylor expansion of re in re
4.999 * [backup-simplify]: Simplify 0 into 0
4.999 * [backup-simplify]: Simplify 1 into 1
5.000 * [backup-simplify]: Simplify (* 1 1) into 1
5.000 * [backup-simplify]: Simplify (/ 1 1) into 1
5.000 * [backup-simplify]: Simplify (+ 0 1) into 1
5.000 * [backup-simplify]: Simplify (sqrt 1) into 1
5.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.002 * [backup-simplify]: Simplify (log 1) into 0
5.002 * [taylor]: Taking taylor expansion of (log E) in re
5.002 * [taylor]: Taking taylor expansion of E in re
5.002 * [backup-simplify]: Simplify E into E
5.002 * [backup-simplify]: Simplify (log E) into 1
5.002 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.002 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
5.003 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.003 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.003 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
5.003 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
5.003 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.003 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.003 * [taylor]: Taking taylor expansion of im in re
5.003 * [backup-simplify]: Simplify im into im
5.003 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.003 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.003 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.003 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.003 * [taylor]: Taking taylor expansion of re in re
5.003 * [backup-simplify]: Simplify 0 into 0
5.003 * [backup-simplify]: Simplify 1 into 1
5.003 * [backup-simplify]: Simplify (* 1 1) into 1
5.003 * [backup-simplify]: Simplify (/ 1 1) into 1
5.004 * [backup-simplify]: Simplify (+ 0 1) into 1
5.004 * [backup-simplify]: Simplify (sqrt 1) into 1
5.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.005 * [backup-simplify]: Simplify (+ 0 0) into 0
5.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.006 * [backup-simplify]: Simplify (log 1) into 0
5.006 * [taylor]: Taking taylor expansion of (log E) in re
5.006 * [taylor]: Taking taylor expansion of E in re
5.006 * [backup-simplify]: Simplify E into E
5.006 * [backup-simplify]: Simplify (log E) into 1
5.006 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.006 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
5.006 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.006 * [taylor]: Taking taylor expansion of (pow re -1) in im
5.006 * [taylor]: Taking taylor expansion of re in im
5.006 * [backup-simplify]: Simplify re into re
5.006 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.006 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.007 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
5.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.008 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (* 0 1)) into 0
5.009 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
5.009 * [taylor]: Taking taylor expansion of 0 in im
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.011 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0
5.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.012 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.013 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
5.015 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 1/2 (/ 1 (pow im 2)))
5.015 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2)))
5.015 * [taylor]: Taking taylor expansion of (/ 1/2 (* re (pow im 2))) in im
5.015 * [taylor]: Taking taylor expansion of 1/2 in im
5.015 * [backup-simplify]: Simplify 1/2 into 1/2
5.015 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im
5.015 * [taylor]: Taking taylor expansion of re in im
5.015 * [backup-simplify]: Simplify re into re
5.015 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.015 * [taylor]: Taking taylor expansion of im in im
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 1 into 1
5.016 * [backup-simplify]: Simplify (* 1 1) into 1
5.016 * [backup-simplify]: Simplify (* re 1) into re
5.016 * [backup-simplify]: Simplify (/ 1/2 re) into (/ 1/2 re)
5.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.017 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0
5.017 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0
5.017 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)))) into 0
5.017 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
5.018 * [backup-simplify]: Simplify 0 into 0
5.018 * [backup-simplify]: Simplify 0 into 0
5.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
5.018 * [backup-simplify]: Simplify 0 into 0
5.018 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.021 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) into 0
5.021 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.022 * [backup-simplify]: Simplify (+ 0 0) into 0
5.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.025 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.026 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0
5.027 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.027 * [taylor]: Taking taylor expansion of 0 in im
5.027 * [backup-simplify]: Simplify 0 into 0
5.027 * [backup-simplify]: Simplify 0 into 0
5.027 * [backup-simplify]: Simplify (/ 1 (/ 1 re)) into re
5.028 * [backup-simplify]: Simplify (pow E (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))
5.028 * [approximate]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in (re im) around 0
5.028 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
5.028 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im
5.028 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im
5.028 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.028 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.028 * [taylor]: Taking taylor expansion of im in im
5.028 * [backup-simplify]: Simplify 0 into 0
5.028 * [backup-simplify]: Simplify 1 into 1
5.028 * [backup-simplify]: Simplify (* 1 1) into 1
5.028 * [backup-simplify]: Simplify (/ 1 1) into 1
5.028 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.028 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.028 * [taylor]: Taking taylor expansion of re in im
5.028 * [backup-simplify]: Simplify re into re
5.028 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.028 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.029 * [backup-simplify]: Simplify (+ 1 0) into 1
5.029 * [backup-simplify]: Simplify (sqrt 1) into 1
5.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.030 * [backup-simplify]: Simplify (+ 0 0) into 0
5.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.031 * [backup-simplify]: Simplify (log 1) into 0
5.031 * [taylor]: Taking taylor expansion of (log E) in im
5.031 * [taylor]: Taking taylor expansion of E in im
5.031 * [backup-simplify]: Simplify E into E
5.031 * [backup-simplify]: Simplify (log E) into 1
5.031 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
5.031 * [backup-simplify]: Simplify (* (- (log im)) 1) into (* -1 (log im))
5.031 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
5.031 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.031 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
5.031 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
5.031 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.031 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.031 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.031 * [taylor]: Taking taylor expansion of im in re
5.031 * [backup-simplify]: Simplify im into im
5.031 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.031 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.031 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.031 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.031 * [taylor]: Taking taylor expansion of re in re
5.031 * [backup-simplify]: Simplify 0 into 0
5.031 * [backup-simplify]: Simplify 1 into 1
5.032 * [backup-simplify]: Simplify (* 1 1) into 1
5.032 * [backup-simplify]: Simplify (/ 1 1) into 1
5.032 * [backup-simplify]: Simplify (+ 0 1) into 1
5.033 * [backup-simplify]: Simplify (sqrt 1) into 1
5.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.034 * [backup-simplify]: Simplify (+ 0 0) into 0
5.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.034 * [backup-simplify]: Simplify (log 1) into 0
5.034 * [taylor]: Taking taylor expansion of (log E) in re
5.034 * [taylor]: Taking taylor expansion of E in re
5.034 * [backup-simplify]: Simplify E into E
5.034 * [backup-simplify]: Simplify (log E) into 1
5.035 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.035 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
5.035 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.035 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.035 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
5.035 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
5.035 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.035 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.035 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.035 * [taylor]: Taking taylor expansion of im in re
5.035 * [backup-simplify]: Simplify im into im
5.035 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.035 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.035 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.035 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.035 * [taylor]: Taking taylor expansion of re in re
5.035 * [backup-simplify]: Simplify 0 into 0
5.035 * [backup-simplify]: Simplify 1 into 1
5.035 * [backup-simplify]: Simplify (* 1 1) into 1
5.036 * [backup-simplify]: Simplify (/ 1 1) into 1
5.036 * [backup-simplify]: Simplify (+ 0 1) into 1
5.036 * [backup-simplify]: Simplify (sqrt 1) into 1
5.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.042 * [backup-simplify]: Simplify (+ 0 0) into 0
5.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.043 * [backup-simplify]: Simplify (log 1) into 0
5.043 * [taylor]: Taking taylor expansion of (log E) in re
5.043 * [taylor]: Taking taylor expansion of E in re
5.043 * [backup-simplify]: Simplify E into E
5.043 * [backup-simplify]: Simplify (log E) into 1
5.043 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.043 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
5.044 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.044 * [taylor]: Taking taylor expansion of (pow re -1) in im
5.044 * [taylor]: Taking taylor expansion of re in im
5.044 * [backup-simplify]: Simplify re into re
5.044 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.044 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.044 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
5.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.046 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (* 0 1)) into 0
5.046 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
5.046 * [taylor]: Taking taylor expansion of 0 in im
5.046 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.047 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.048 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0
5.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.049 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.050 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
5.052 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 1/2 (/ 1 (pow im 2)))
5.052 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2)))
5.052 * [taylor]: Taking taylor expansion of (/ 1/2 (* re (pow im 2))) in im
5.052 * [taylor]: Taking taylor expansion of 1/2 in im
5.052 * [backup-simplify]: Simplify 1/2 into 1/2
5.053 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im
5.053 * [taylor]: Taking taylor expansion of re in im
5.053 * [backup-simplify]: Simplify re into re
5.053 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.053 * [taylor]: Taking taylor expansion of im in im
5.053 * [backup-simplify]: Simplify 0 into 0
5.053 * [backup-simplify]: Simplify 1 into 1
5.053 * [backup-simplify]: Simplify (* 1 1) into 1
5.053 * [backup-simplify]: Simplify (* re 1) into re
5.053 * [backup-simplify]: Simplify (/ 1/2 re) into (/ 1/2 re)
5.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.054 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0
5.054 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0
5.054 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)))) into 0
5.055 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
5.055 * [backup-simplify]: Simplify 0 into 0
5.055 * [backup-simplify]: Simplify 0 into 0
5.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
5.055 * [backup-simplify]: Simplify 0 into 0
5.055 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.058 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) into 0
5.058 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.059 * [backup-simplify]: Simplify (+ 0 0) into 0
5.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.062 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.062 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0
5.064 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.064 * [taylor]: Taking taylor expansion of 0 in im
5.064 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify (/ 1 (/ 1 (- re))) into (* -1 re)
5.064 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
5.064 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))) into (* (sqrt 2.0) (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2))))))))
5.064 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))))) in (re im) around 0
5.064 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))))) in im
5.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.064 * [taylor]: Taking taylor expansion of 2.0 in im
5.064 * [backup-simplify]: Simplify 2.0 into 2.0
5.065 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.065 * [taylor]: Taking taylor expansion of (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2))))))) in im
5.065 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in im
5.065 * [taylor]: Taking taylor expansion of re in im
5.065 * [backup-simplify]: Simplify re into re
5.065 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in im
5.065 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in im
5.065 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in im
5.065 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im
5.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.065 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.065 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.065 * [taylor]: Taking taylor expansion of re in im
5.065 * [backup-simplify]: Simplify re into re
5.065 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.065 * [taylor]: Taking taylor expansion of im in im
5.065 * [backup-simplify]: Simplify 0 into 0
5.065 * [backup-simplify]: Simplify 1 into 1
5.065 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.065 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.066 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.066 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.066 * [backup-simplify]: Simplify (+ 0 0) into 0
5.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.066 * [backup-simplify]: Simplify (log re) into (log re)
5.066 * [taylor]: Taking taylor expansion of (log E) in im
5.066 * [taylor]: Taking taylor expansion of E in im
5.066 * [backup-simplify]: Simplify E into E
5.066 * [backup-simplify]: Simplify (log E) into 1
5.066 * [backup-simplify]: Simplify (* (log re) 1) into (log re)
5.066 * [backup-simplify]: Simplify (exp (log re)) into re
5.066 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
5.066 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
5.067 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
5.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
5.068 * [backup-simplify]: Simplify (+ (* (log re) 0) (* 0 1)) into 0
5.068 * [backup-simplify]: Simplify (* (exp (log re)) (+ (* (/ (pow 0 1) 1)))) into 0
5.069 * [backup-simplify]: Simplify (+ 0 0) into 0
5.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
5.069 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))))) in re
5.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.069 * [taylor]: Taking taylor expansion of 2.0 in re
5.069 * [backup-simplify]: Simplify 2.0 into 2.0
5.069 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.069 * [taylor]: Taking taylor expansion of (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2))))))) in re
5.069 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in re
5.069 * [taylor]: Taking taylor expansion of re in re
5.069 * [backup-simplify]: Simplify 0 into 0
5.069 * [backup-simplify]: Simplify 1 into 1
5.069 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re
5.069 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re
5.069 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re
5.069 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re
5.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.070 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.070 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.070 * [taylor]: Taking taylor expansion of re in re
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify 1 into 1
5.070 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.070 * [taylor]: Taking taylor expansion of im in re
5.070 * [backup-simplify]: Simplify im into im
5.070 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.070 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.070 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.070 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.070 * [backup-simplify]: Simplify (+ 0 0) into 0
5.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.070 * [backup-simplify]: Simplify (log im) into (log im)
5.070 * [taylor]: Taking taylor expansion of (log E) in re
5.070 * [taylor]: Taking taylor expansion of E in re
5.070 * [backup-simplify]: Simplify E into E
5.070 * [backup-simplify]: Simplify (log E) into 1
5.070 * [backup-simplify]: Simplify (* (log im) 1) into (log im)
5.070 * [backup-simplify]: Simplify (exp (log im)) into im
5.071 * [backup-simplify]: Simplify (+ 0 im) into im
5.071 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
5.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
5.072 * [backup-simplify]: Simplify (+ (* (log im) 0) (* 0 1)) into 0
5.073 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
5.073 * [backup-simplify]: Simplify (+ 1 0) into 1
5.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.073 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))))) in re
5.073 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.073 * [taylor]: Taking taylor expansion of 2.0 in re
5.073 * [backup-simplify]: Simplify 2.0 into 2.0
5.073 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.074 * [taylor]: Taking taylor expansion of (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2))))))) in re
5.074 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in re
5.074 * [taylor]: Taking taylor expansion of re in re
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [backup-simplify]: Simplify 1 into 1
5.074 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re
5.074 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re
5.074 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re
5.074 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re
5.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.074 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.074 * [taylor]: Taking taylor expansion of re in re
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [backup-simplify]: Simplify 1 into 1
5.074 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.074 * [taylor]: Taking taylor expansion of im in re
5.074 * [backup-simplify]: Simplify im into im
5.074 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.074 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.074 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.074 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.075 * [backup-simplify]: Simplify (+ 0 0) into 0
5.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.075 * [backup-simplify]: Simplify (log im) into (log im)
5.075 * [taylor]: Taking taylor expansion of (log E) in re
5.075 * [taylor]: Taking taylor expansion of E in re
5.075 * [backup-simplify]: Simplify E into E
5.075 * [backup-simplify]: Simplify (log E) into 1
5.075 * [backup-simplify]: Simplify (* (log im) 1) into (log im)
5.075 * [backup-simplify]: Simplify (exp (log im)) into im
5.075 * [backup-simplify]: Simplify (+ 0 im) into im
5.075 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
5.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
5.077 * [backup-simplify]: Simplify (+ (* (log im) 0) (* 0 1)) into 0
5.077 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
5.077 * [backup-simplify]: Simplify (+ 1 0) into 1
5.078 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.078 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
5.078 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
5.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.078 * [taylor]: Taking taylor expansion of 2.0 in im
5.078 * [backup-simplify]: Simplify 2.0 into 2.0
5.078 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.079 * [taylor]: Taking taylor expansion of (sqrt im) in im
5.079 * [taylor]: Taking taylor expansion of im in im
5.079 * [backup-simplify]: Simplify 0 into 0
5.079 * [backup-simplify]: Simplify 1 into 1
5.079 * [backup-simplify]: Simplify (sqrt 0) into 0
5.080 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.080 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.080 * [backup-simplify]: Simplify 0 into 0
5.080 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
5.080 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
5.080 * [taylor]: Taking taylor expansion of 1/2 in im
5.080 * [backup-simplify]: Simplify 1/2 into 1/2
5.080 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
5.081 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.081 * [taylor]: Taking taylor expansion of 2.0 in im
5.081 * [backup-simplify]: Simplify 2.0 into 2.0
5.081 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
5.081 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.081 * [taylor]: Taking taylor expansion of im in im
5.081 * [backup-simplify]: Simplify 0 into 0
5.081 * [backup-simplify]: Simplify 1 into 1
5.082 * [backup-simplify]: Simplify (/ 1 1) into 1
5.082 * [backup-simplify]: Simplify (sqrt 0) into 0
5.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.084 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.084 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.086 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.087 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.089 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.089 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.091 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0
5.091 * [backup-simplify]: Simplify (* 1 1) into 1
5.092 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.092 * [backup-simplify]: Simplify (+ 1 0) into 1
5.092 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.093 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
5.093 * [backup-simplify]: Simplify (+ (* (log im) 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 1/2 (/ 1 (pow im 2)))
5.094 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im)
5.094 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.094 * [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))))
5.095 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.096 * [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)))))
5.096 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
5.096 * [taylor]: Taking taylor expansion of 1/8 in im
5.096 * [backup-simplify]: Simplify 1/8 into 1/8
5.096 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
5.096 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.096 * [taylor]: Taking taylor expansion of 2.0 in im
5.096 * [backup-simplify]: Simplify 2.0 into 2.0
5.096 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
5.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
5.096 * [taylor]: Taking taylor expansion of (pow im 3) in im
5.096 * [taylor]: Taking taylor expansion of im in im
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [backup-simplify]: Simplify 1 into 1
5.097 * [backup-simplify]: Simplify (* 1 1) into 1
5.097 * [backup-simplify]: Simplify (* 1 1) into 1
5.097 * [backup-simplify]: Simplify (/ 1 1) into 1
5.097 * [backup-simplify]: Simplify (sqrt 0) into 0
5.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.101 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.102 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.103 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.104 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.105 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.107 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.108 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.111 * [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)))))))
5.111 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))))
5.111 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))) in (re im) around 0
5.111 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))) in im
5.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.111 * [taylor]: Taking taylor expansion of 2.0 in im
5.111 * [backup-simplify]: Simplify 2.0 into 2.0
5.112 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
5.112 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
5.112 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.112 * [taylor]: Taking taylor expansion of re in im
5.112 * [backup-simplify]: Simplify re into re
5.112 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.112 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
5.112 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im
5.112 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im
5.112 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.112 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.112 * [taylor]: Taking taylor expansion of im in im
5.112 * [backup-simplify]: Simplify 0 into 0
5.112 * [backup-simplify]: Simplify 1 into 1
5.113 * [backup-simplify]: Simplify (* 1 1) into 1
5.113 * [backup-simplify]: Simplify (/ 1 1) into 1
5.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.113 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.113 * [taylor]: Taking taylor expansion of re in im
5.113 * [backup-simplify]: Simplify re into re
5.113 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.113 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.113 * [backup-simplify]: Simplify (+ 1 0) into 1
5.114 * [backup-simplify]: Simplify (sqrt 1) into 1
5.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.115 * [backup-simplify]: Simplify (+ 0 0) into 0
5.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.115 * [backup-simplify]: Simplify (log 1) into 0
5.115 * [taylor]: Taking taylor expansion of (log E) in im
5.115 * [taylor]: Taking taylor expansion of E in im
5.115 * [backup-simplify]: Simplify E into E
5.115 * [backup-simplify]: Simplify (log E) into 1
5.116 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
5.116 * [backup-simplify]: Simplify (* (- (log im)) 1) into (* -1 (log im))
5.116 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
5.116 * [backup-simplify]: Simplify (+ (/ 1 re) (pow im -1)) into (+ (pow im -1) (/ 1 re))
5.116 * [backup-simplify]: Simplify (sqrt (+ (pow im -1) (/ 1 re))) into (sqrt (+ (pow im -1) (/ 1 re)))
5.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.116 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
5.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
5.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.118 * [backup-simplify]: Simplify (+ (* (- (log im)) 0) (* 0 1)) into 0
5.119 * [backup-simplify]: Simplify (* (exp (* -1 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.119 * [backup-simplify]: Simplify (+ 0 0) into 0
5.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow im -1) (/ 1 re))))) into 0
5.119 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))) in re
5.119 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.119 * [taylor]: Taking taylor expansion of 2.0 in re
5.119 * [backup-simplify]: Simplify 2.0 into 2.0
5.119 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
5.120 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
5.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.120 * [taylor]: Taking taylor expansion of re in re
5.120 * [backup-simplify]: Simplify 0 into 0
5.120 * [backup-simplify]: Simplify 1 into 1
5.120 * [backup-simplify]: Simplify (/ 1 1) into 1
5.120 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.120 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
5.120 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
5.120 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.120 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.120 * [taylor]: Taking taylor expansion of im in re
5.120 * [backup-simplify]: Simplify im into im
5.120 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.120 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.120 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.120 * [taylor]: Taking taylor expansion of re in re
5.120 * [backup-simplify]: Simplify 0 into 0
5.120 * [backup-simplify]: Simplify 1 into 1
5.121 * [backup-simplify]: Simplify (* 1 1) into 1
5.121 * [backup-simplify]: Simplify (/ 1 1) into 1
5.121 * [backup-simplify]: Simplify (+ 0 1) into 1
5.121 * [backup-simplify]: Simplify (sqrt 1) into 1
5.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.122 * [backup-simplify]: Simplify (+ 0 0) into 0
5.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.123 * [backup-simplify]: Simplify (log 1) into 0
5.123 * [taylor]: Taking taylor expansion of (log E) in re
5.123 * [taylor]: Taking taylor expansion of E in re
5.123 * [backup-simplify]: Simplify E into E
5.123 * [backup-simplify]: Simplify (log E) into 1
5.123 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.123 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
5.123 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.124 * [backup-simplify]: Simplify (+ 1 0) into 1
5.124 * [backup-simplify]: Simplify (sqrt 0) into 0
5.125 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.125 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))) in re
5.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.125 * [taylor]: Taking taylor expansion of 2.0 in re
5.125 * [backup-simplify]: Simplify 2.0 into 2.0
5.125 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
5.125 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
5.125 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.125 * [taylor]: Taking taylor expansion of re in re
5.125 * [backup-simplify]: Simplify 0 into 0
5.126 * [backup-simplify]: Simplify 1 into 1
5.126 * [backup-simplify]: Simplify (/ 1 1) into 1
5.126 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.126 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
5.126 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
5.126 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.126 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.126 * [taylor]: Taking taylor expansion of im in re
5.126 * [backup-simplify]: Simplify im into im
5.126 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.126 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.126 * [taylor]: Taking taylor expansion of re in re
5.126 * [backup-simplify]: Simplify 0 into 0
5.126 * [backup-simplify]: Simplify 1 into 1
5.126 * [backup-simplify]: Simplify (* 1 1) into 1
5.127 * [backup-simplify]: Simplify (/ 1 1) into 1
5.127 * [backup-simplify]: Simplify (+ 0 1) into 1
5.127 * [backup-simplify]: Simplify (sqrt 1) into 1
5.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.128 * [backup-simplify]: Simplify (+ 0 0) into 0
5.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.129 * [backup-simplify]: Simplify (log 1) into 0
5.129 * [taylor]: Taking taylor expansion of (log E) in re
5.129 * [taylor]: Taking taylor expansion of E in re
5.129 * [backup-simplify]: Simplify E into E
5.129 * [backup-simplify]: Simplify (log E) into 1
5.129 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.129 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
5.129 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.129 * [backup-simplify]: Simplify (+ 1 0) into 1
5.130 * [backup-simplify]: Simplify (sqrt 0) into 0
5.130 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.131 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.131 * [taylor]: Taking taylor expansion of 0 in im
5.131 * [backup-simplify]: Simplify 0 into 0
5.131 * [backup-simplify]: Simplify 0 into 0
5.132 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.132 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.132 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.132 * [taylor]: Taking taylor expansion of +nan.0 in im
5.132 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.132 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.132 * [taylor]: Taking taylor expansion of 2.0 in im
5.132 * [backup-simplify]: Simplify 2.0 into 2.0
5.133 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.139 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.140 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.141 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.141 * [backup-simplify]: Simplify (+ 0 (pow re -1)) into (pow re -1)
5.142 * [backup-simplify]: Simplify (/ (- (pow re -1) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (pow re -1) +nan.0))
5.143 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.144 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.144 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im
5.144 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im
5.144 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.144 * [taylor]: Taking taylor expansion of +nan.0 in im
5.144 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.144 * [taylor]: Taking taylor expansion of 2.0 in im
5.144 * [backup-simplify]: Simplify 2.0 into 2.0
5.144 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.144 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im
5.144 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im
5.144 * [taylor]: Taking taylor expansion of +nan.0 in im
5.145 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.145 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im
5.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.145 * [taylor]: Taking taylor expansion of 2.0 in im
5.145 * [backup-simplify]: Simplify 2.0 into 2.0
5.145 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.145 * [taylor]: Taking taylor expansion of re in im
5.145 * [backup-simplify]: Simplify re into re
5.146 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re)
5.146 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.146 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re))
5.147 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re)))
5.147 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.148 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.149 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.150 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.150 * [backup-simplify]: Simplify (- 0) into 0
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.151 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
5.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.153 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (* 0 1)) into 0
5.153 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
5.153 * [backup-simplify]: Simplify (+ 0 0) into 0
5.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (pow re -1) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))
5.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.155 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.155 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im
5.156 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im
5.156 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.156 * [taylor]: Taking taylor expansion of +nan.0 in im
5.156 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.156 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.156 * [taylor]: Taking taylor expansion of 2.0 in im
5.156 * [backup-simplify]: Simplify 2.0 into 2.0
5.156 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.156 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im
5.156 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im
5.156 * [taylor]: Taking taylor expansion of +nan.0 in im
5.156 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.156 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im
5.156 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.156 * [taylor]: Taking taylor expansion of 2.0 in im
5.156 * [backup-simplify]: Simplify 2.0 into 2.0
5.157 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.157 * [taylor]: Taking taylor expansion of re in im
5.157 * [backup-simplify]: Simplify re into re
5.157 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re)
5.158 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.158 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re))
5.159 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re)))
5.159 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.160 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.161 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.164 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 re)))))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 re)))))) (* 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)))))))
5.164 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re))))
5.164 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)))) in (re im) around 0
5.164 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)))) in im
5.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.165 * [taylor]: Taking taylor expansion of 2.0 in im
5.165 * [backup-simplify]: Simplify 2.0 into 2.0
5.165 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.165 * [taylor]: Taking taylor expansion of (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re))) in im
5.165 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in im
5.165 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
5.165 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im
5.165 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im
5.165 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.165 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.165 * [taylor]: Taking taylor expansion of im in im
5.165 * [backup-simplify]: Simplify 0 into 0
5.165 * [backup-simplify]: Simplify 1 into 1
5.166 * [backup-simplify]: Simplify (* 1 1) into 1
5.166 * [backup-simplify]: Simplify (/ 1 1) into 1
5.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.166 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.166 * [taylor]: Taking taylor expansion of re in im
5.166 * [backup-simplify]: Simplify re into re
5.166 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.166 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.166 * [backup-simplify]: Simplify (+ 1 0) into 1
5.167 * [backup-simplify]: Simplify (sqrt 1) into 1
5.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.168 * [backup-simplify]: Simplify (+ 0 0) into 0
5.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.168 * [backup-simplify]: Simplify (log 1) into 0
5.168 * [taylor]: Taking taylor expansion of (log E) in im
5.168 * [taylor]: Taking taylor expansion of E in im
5.168 * [backup-simplify]: Simplify E into E
5.168 * [backup-simplify]: Simplify (log E) into 1
5.169 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
5.169 * [backup-simplify]: Simplify (* (- (log im)) 1) into (* -1 (log im))
5.169 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
5.169 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.169 * [taylor]: Taking taylor expansion of re in im
5.169 * [backup-simplify]: Simplify re into re
5.169 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.169 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
5.169 * [backup-simplify]: Simplify (+ (pow im -1) (- (/ 1 re))) into (- (pow im -1) (/ 1 re))
5.169 * [backup-simplify]: Simplify (sqrt (- (pow im -1) (/ 1 re))) into (sqrt (- (pow im -1) (/ 1 re)))
5.169 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
5.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
5.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.171 * [backup-simplify]: Simplify (+ (* (- (log im)) 0) (* 0 1)) into 0
5.172 * [backup-simplify]: Simplify (* (exp (* -1 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.172 * [backup-simplify]: Simplify (- 0) into 0
5.172 * [backup-simplify]: Simplify (+ 0 0) into 0
5.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow im -1) (/ 1 re))))) into 0
5.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)))) in re
5.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.172 * [taylor]: Taking taylor expansion of 2.0 in re
5.173 * [backup-simplify]: Simplify 2.0 into 2.0
5.173 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.173 * [taylor]: Taking taylor expansion of (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re))) in re
5.173 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in re
5.173 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.173 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
5.173 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
5.173 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.173 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.173 * [taylor]: Taking taylor expansion of im in re
5.173 * [backup-simplify]: Simplify im into im
5.173 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.174 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.174 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.174 * [taylor]: Taking taylor expansion of re in re
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify 1 into 1
5.174 * [backup-simplify]: Simplify (* 1 1) into 1
5.174 * [backup-simplify]: Simplify (/ 1 1) into 1
5.174 * [backup-simplify]: Simplify (+ 0 1) into 1
5.175 * [backup-simplify]: Simplify (sqrt 1) into 1
5.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.176 * [backup-simplify]: Simplify (+ 0 0) into 0
5.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.176 * [backup-simplify]: Simplify (log 1) into 0
5.176 * [taylor]: Taking taylor expansion of (log E) in re
5.176 * [taylor]: Taking taylor expansion of E in re
5.176 * [backup-simplify]: Simplify E into E
5.176 * [backup-simplify]: Simplify (log E) into 1
5.177 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.177 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
5.177 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.177 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.177 * [taylor]: Taking taylor expansion of re in re
5.177 * [backup-simplify]: Simplify 0 into 0
5.177 * [backup-simplify]: Simplify 1 into 1
5.177 * [backup-simplify]: Simplify (/ 1 1) into 1
5.177 * [backup-simplify]: Simplify (- 1) into -1
5.177 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.178 * [backup-simplify]: Simplify (sqrt 0) into 0
5.178 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.178 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)))) in re
5.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.178 * [taylor]: Taking taylor expansion of 2.0 in re
5.179 * [backup-simplify]: Simplify 2.0 into 2.0
5.179 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.179 * [taylor]: Taking taylor expansion of (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re))) in re
5.179 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in re
5.179 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.179 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
5.179 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
5.179 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.179 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.179 * [taylor]: Taking taylor expansion of im in re
5.179 * [backup-simplify]: Simplify im into im
5.179 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.180 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.180 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.180 * [taylor]: Taking taylor expansion of re in re
5.180 * [backup-simplify]: Simplify 0 into 0
5.180 * [backup-simplify]: Simplify 1 into 1
5.180 * [backup-simplify]: Simplify (* 1 1) into 1
5.180 * [backup-simplify]: Simplify (/ 1 1) into 1
5.180 * [backup-simplify]: Simplify (+ 0 1) into 1
5.181 * [backup-simplify]: Simplify (sqrt 1) into 1
5.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.182 * [backup-simplify]: Simplify (+ 0 0) into 0
5.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.182 * [backup-simplify]: Simplify (log 1) into 0
5.182 * [taylor]: Taking taylor expansion of (log E) in re
5.182 * [taylor]: Taking taylor expansion of E in re
5.182 * [backup-simplify]: Simplify E into E
5.182 * [backup-simplify]: Simplify (log E) into 1
5.183 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.183 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
5.183 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.183 * [taylor]: Taking taylor expansion of re in re
5.183 * [backup-simplify]: Simplify 0 into 0
5.183 * [backup-simplify]: Simplify 1 into 1
5.183 * [backup-simplify]: Simplify (/ 1 1) into 1
5.183 * [backup-simplify]: Simplify (- 1) into -1
5.184 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.184 * [backup-simplify]: Simplify (sqrt 0) into 0
5.185 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.185 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.185 * [taylor]: Taking taylor expansion of 0 in im
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.186 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.186 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.186 * [taylor]: Taking taylor expansion of +nan.0 in im
5.186 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.187 * [taylor]: Taking taylor expansion of 2.0 in im
5.187 * [backup-simplify]: Simplify 2.0 into 2.0
5.187 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.188 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.189 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.190 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.190 * [backup-simplify]: Simplify 0 into 0
5.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.190 * [backup-simplify]: Simplify (- 0) into 0
5.190 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1)
5.191 * [backup-simplify]: Simplify (/ (- (pow re -1) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (pow re -1) +nan.0))
5.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.192 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.193 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im
5.193 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im
5.193 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.193 * [taylor]: Taking taylor expansion of +nan.0 in im
5.193 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.193 * [taylor]: Taking taylor expansion of 2.0 in im
5.193 * [backup-simplify]: Simplify 2.0 into 2.0
5.193 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.193 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im
5.193 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im
5.193 * [taylor]: Taking taylor expansion of +nan.0 in im
5.193 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.193 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im
5.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.193 * [taylor]: Taking taylor expansion of 2.0 in im
5.193 * [backup-simplify]: Simplify 2.0 into 2.0
5.194 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.194 * [taylor]: Taking taylor expansion of re in im
5.194 * [backup-simplify]: Simplify re into re
5.194 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re)
5.195 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.195 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re))
5.195 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re)))
5.196 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.197 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.198 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.199 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.199 * [backup-simplify]: Simplify (- 0) into 0
5.199 * [backup-simplify]: Simplify 0 into 0
5.199 * [backup-simplify]: Simplify 0 into 0
5.199 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
5.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
5.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.201 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (* 0 1)) into 0
5.201 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.202 * [backup-simplify]: Simplify (- 0) into 0
5.202 * [backup-simplify]: Simplify (+ 0 0) into 0
5.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (pow re -1) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))
5.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.205 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.205 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im
5.205 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im
5.205 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.205 * [taylor]: Taking taylor expansion of +nan.0 in im
5.205 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.205 * [taylor]: Taking taylor expansion of 2.0 in im
5.205 * [backup-simplify]: Simplify 2.0 into 2.0
5.205 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.205 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im
5.205 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im
5.205 * [taylor]: Taking taylor expansion of +nan.0 in im
5.205 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.205 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im
5.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.205 * [taylor]: Taking taylor expansion of 2.0 in im
5.205 * [backup-simplify]: Simplify 2.0 into 2.0
5.206 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.206 * [taylor]: Taking taylor expansion of re in im
5.206 * [backup-simplify]: Simplify re into re
5.206 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re)
5.207 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.207 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re))
5.208 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re)))
5.208 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.209 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.210 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.213 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 (- re))))))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 (- re))))))) (* 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)))))))
5.213 * * * [progress]: simplifying candidates
5.214 * [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 (pow E (log (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re) (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (pow E (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (pow E (log (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (pow E (log (sqrt (+ (* re re) (* im im))))) re)
  (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)
  (* 1 (log (sqrt (+ (* re re) (* im im)))))
  (* (log E) (log (sqrt (+ (* re re) (* im im)))))
  (* (log E) (log (sqrt (+ (* re re) (* im im)))))
  (* 1 (log (sqrt (+ (* re re) (* im im)))))
  (pow E (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (pow E (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (pow E (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (pow E (log (sqrt (- (* re re) (* im im)))))
  (pow E 1/2)
  (pow E 1)
  (pow E (/ 1 2))
  (pow E (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (pow E (sqrt (log (sqrt (+ (* re re) (* im im))))))
  (pow E 1)
  (pow E (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (pow E (log (cbrt (sqrt (+ (* re re) (* im im))))))
  (pow E (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (pow E (log (sqrt (cbrt (+ (* re re) (* im im))))))
  (pow E (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (pow E (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (pow E (log (sqrt 1)))
  (pow E (log (sqrt (+ (* re re) (* im im)))))
  (pow E (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (pow E (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (pow E (log 1))
  (pow E (log (sqrt (+ (* re re) (* im im)))))
  (pow (* (cbrt E) (cbrt E)) (log (sqrt (+ (* re re) (* im im)))))
  (pow (cbrt E) (log (sqrt (+ (* re re) (* im im)))))
  (pow (sqrt E) (log (sqrt (+ (* re re) (* im im)))))
  (pow (sqrt E) (log (sqrt (+ (* re re) (* im im)))))
  (pow 1 (log (sqrt (+ (* re re) (* im im)))))
  (pow E (log (sqrt (+ (* re re) (* im im)))))
  (log (pow E (log (sqrt (+ (* re re) (* im im))))))
  (exp (pow E (log (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))))
  (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))
  (* (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (pow E (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (pow E (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (pow E (log (sqrt (+ (* re re) (* im im))))))
  (pow E (/ (log (sqrt (+ (* re re) (* im im)))) 2))
  (pow E (/ (log (sqrt (+ (* re re) (* im im)))) 2))
  (log (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  (exp (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))))
  (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  (* (* (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))) (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt 2.0)
  (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (* 2.0 (+ (pow (pow E (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))))
  (sqrt (+ (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (* 2.0 (- (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (* re re))))
  (sqrt (- (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
  (- (+ (* +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)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
5.216 * * [simplify]: Extracting # 0 : cost  0
5.216 * * [simplify]: Extracting # 1 : cost  0
5.216 * * [simplify]: Extracting # 2 : cost  0
5.217 * * [simplify]: Extracting # 3 : cost  0
5.217 * * [simplify]: Extracting # 4 : cost  0
5.217 * * [simplify]: Extracting # 5 : cost  0
5.217 * * [simplify]: Extracting # 6 : cost  0
5.217 * * [simplify]: Extracting # 7 : cost  0
5.217 * * [simplify]: Extracting # 8 : cost  0
5.218 * * [simplify]: Extracting # 9 : cost  0
5.218 * * [simplify]: Extracting # 10 : cost  0
5.218 * * [simplify]: Extracting # 11 : cost  0
5.218 * * [simplify]: iteration  0 :  151  enodes  (cost  1392 )
5.258 * * [simplify]: Extracting # 0 : cost  0
5.258 * * [simplify]: Extracting # 1 : cost  0
5.258 * * [simplify]: Extracting # 2 : cost  0
5.259 * * [simplify]: Extracting # 3 : cost  0
5.259 * * [simplify]: Extracting # 4 : cost  0
5.259 * * [simplify]: Extracting # 5 : cost  0
5.260 * * [simplify]: iteration  1 :  359  enodes  (cost  1214 )
5.388 * * [simplify]: Extracting # 0 : cost  0
5.389 * * [simplify]: Extracting # 1 : cost  0
5.390 * * [simplify]: Extracting # 2 : cost  0
5.391 * * [simplify]: Extracting # 3 : cost  0
5.392 * * [simplify]: Extracting # 4 : cost  0
5.393 * * [simplify]: Extracting # 5 : cost  0
5.394 * * [simplify]: iteration  2 :  878  enodes  (cost  1127 )
5.724 * * [simplify]: Extracting # 0 : cost  0
5.727 * * [simplify]: Extracting # 1 : cost  0
5.729 * * [simplify]: Extracting # 2 : cost  0
5.731 * * [simplify]: Extracting # 3 : cost  0
5.734 * * [simplify]: Extracting # 4 : cost  0
5.736 * * [simplify]: Extracting # 5 : cost  0
5.742 * * [simplify]: iteration  3 :  2320  enodes  (cost  1110 )
6.499 * * [simplify]: Extracting # 0 : cost  0
6.505 * * [simplify]: Extracting # 1 : cost  0
6.511 * * [simplify]: Extracting # 2 : cost  0
6.521 * * [simplify]: Extracting # 3 : cost  0
6.526 * * [simplify]: Extracting # 4 : cost  0
6.532 * * [simplify]: iteration done:  5000  enodes  (cost  1109 )
6.533 * [simplify]: Simplified to:
  (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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (log (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (pow (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re) 3)
  (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (pow E (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* re (- re (pow E (log (sqrt (+ (* re re) (* im im))))))) (pow E (* 2 (log (sqrt (+ (* re re) (* im im)))))))
  (- (pow E (* 2 (log (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (pow E (log (sqrt (+ (* re re) (* im im))))) re)
  (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (pow E (log (sqrt (+ (pow im 6) (pow re 6)))))
  (pow E (log (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))))
  (pow E (log (sqrt (- (pow re 4) (pow im 4)))))
  (pow E (log (sqrt (- (* re re) (* im im)))))
  (sqrt E)
  E
  (sqrt E)
  (pow E (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (pow E (sqrt (log (sqrt (+ (* re re) (* im im))))))
  E
  (pow E (* 2 (log (cbrt (sqrt (+ (* re re) (* im im)))))))
  (pow E (log (cbrt (sqrt (+ (* re re) (* im im))))))
  (pow E (log (fabs (cbrt (+ (* re re) (* im im))))))
  (pow E (log (sqrt (cbrt (+ (* re re) (* im im))))))
  (pow E (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (pow E (log (sqrt (sqrt (+ (* re re) (* im im))))))
  1
  (pow E (log (sqrt (+ (* re re) (* im im)))))
  (pow E (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (pow E (log (sqrt (sqrt (+ (* re re) (* im im))))))
  1
  (pow E (log (sqrt (+ (* re re) (* im im)))))
  (pow (* (cbrt E) (cbrt E)) (log (sqrt (+ (* re re) (* im im)))))
  (pow (cbrt E) (log (sqrt (+ (* re re) (* im im)))))
  (pow (sqrt E) (log (sqrt (+ (* re re) (* im im)))))
  (pow (sqrt E) (log (sqrt (+ (* re re) (* im im)))))
  1
  (pow E (log (sqrt (+ (* re re) (* im im)))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (pow E (log (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))))
  (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))
  (pow (pow E (log (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (pow E (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (pow E (log (sqrt (+ (* re re) (* im im))))))
  (pow E (/ (log (sqrt (+ (* re re) (* im im)))) 2))
  (pow E (/ (log (sqrt (+ (* re re) (* im im)))) 2))
  (log (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  (exp (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))))
  (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  (pow (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))) 3)
  (sqrt 2.0)
  (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (* 2.0 (+ (pow (pow E (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))))
  (sqrt (+ (* re (- re (pow E (log (sqrt (+ (* re re) (* im im))))))) (pow E (* 2 (log (sqrt (+ (* re re) (* im im))))))))
  (sqrt (* 2.0 (- (pow E (* 2 (log (sqrt (+ (* re re) (* im im)))))) (* re re))))
  (sqrt (- (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (- re)
  (* (* +nan.0 (sqrt 2.0)) (- (- im re) (* re re)))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
6.533 * * * [progress]: adding candidates to table
6.770 * * [progress]: iteration 4 / 4
6.770 * * * [progress]: picking best candidate
6.795 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))))>
6.796 * * * [progress]: localizing error
6.821 * * * [progress]: generating rewritten candidates
6.821 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 2 1)
6.829 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 2 1)
6.837 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 2 1)
6.845 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
6.971 * * * [progress]: generating series expansions
6.971 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 2 1)
6.972 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.972 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.972 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.972 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.972 * [taylor]: Taking taylor expansion of re in im
6.972 * [backup-simplify]: Simplify re into re
6.972 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.972 * [taylor]: Taking taylor expansion of im in im
6.972 * [backup-simplify]: Simplify 0 into 0
6.972 * [backup-simplify]: Simplify 1 into 1
6.972 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.973 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.973 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.973 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.973 * [backup-simplify]: Simplify (+ 0 0) into 0
6.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.973 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.973 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.974 * [taylor]: Taking taylor expansion of re in re
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [backup-simplify]: Simplify 1 into 1
6.974 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.974 * [taylor]: Taking taylor expansion of im in re
6.974 * [backup-simplify]: Simplify im into im
6.974 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.974 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.974 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.974 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.974 * [backup-simplify]: Simplify (+ 0 0) into 0
6.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.974 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.974 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.974 * [taylor]: Taking taylor expansion of re in re
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [backup-simplify]: Simplify 1 into 1
6.974 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.974 * [taylor]: Taking taylor expansion of im in re
6.974 * [backup-simplify]: Simplify im into im
6.974 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.975 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.975 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.975 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.975 * [backup-simplify]: Simplify (+ 0 0) into 0
6.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.975 * [taylor]: Taking taylor expansion of im in im
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify 1 into 1
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [taylor]: Taking taylor expansion of 0 in im
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify 1 into 1
6.976 * [backup-simplify]: Simplify (* 1 1) into 1
6.976 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.976 * [backup-simplify]: Simplify (+ 1 0) into 1
6.977 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.977 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.977 * [taylor]: Taking taylor expansion of 1/2 in im
6.977 * [backup-simplify]: Simplify 1/2 into 1/2
6.977 * [taylor]: Taking taylor expansion of im in im
6.977 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify 1 into 1
6.977 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.979 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.979 * [backup-simplify]: Simplify (+ 0 0) into 0
6.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.979 * [taylor]: Taking taylor expansion of 0 in im
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.980 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.980 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.980 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.980 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.980 * [taylor]: Taking taylor expansion of im in im
6.980 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify 1 into 1
6.980 * [backup-simplify]: Simplify (* 1 1) into 1
6.980 * [backup-simplify]: Simplify (/ 1 1) into 1
6.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.980 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.981 * [taylor]: Taking taylor expansion of re in im
6.981 * [backup-simplify]: Simplify re into re
6.981 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.981 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.981 * [backup-simplify]: Simplify (+ 1 0) into 1
6.981 * [backup-simplify]: Simplify (sqrt 1) into 1
6.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.982 * [backup-simplify]: Simplify (+ 0 0) into 0
6.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.983 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.983 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.983 * [taylor]: Taking taylor expansion of im in re
6.983 * [backup-simplify]: Simplify im into im
6.983 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.983 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.983 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.983 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.983 * [taylor]: Taking taylor expansion of re in re
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify 1 into 1
6.983 * [backup-simplify]: Simplify (* 1 1) into 1
6.984 * [backup-simplify]: Simplify (/ 1 1) into 1
6.984 * [backup-simplify]: Simplify (+ 0 1) into 1
6.984 * [backup-simplify]: Simplify (sqrt 1) into 1
6.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.985 * [backup-simplify]: Simplify (+ 0 0) into 0
6.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.986 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.986 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.986 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.986 * [taylor]: Taking taylor expansion of im in re
6.986 * [backup-simplify]: Simplify im into im
6.986 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.986 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.986 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.986 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.986 * [taylor]: Taking taylor expansion of re in re
6.986 * [backup-simplify]: Simplify 0 into 0
6.986 * [backup-simplify]: Simplify 1 into 1
6.987 * [backup-simplify]: Simplify (* 1 1) into 1
6.987 * [backup-simplify]: Simplify (/ 1 1) into 1
6.987 * [backup-simplify]: Simplify (+ 0 1) into 1
6.987 * [backup-simplify]: Simplify (sqrt 1) into 1
6.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.988 * [backup-simplify]: Simplify (+ 0 0) into 0
6.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.989 * [taylor]: Taking taylor expansion of 1 in im
6.989 * [backup-simplify]: Simplify 1 into 1
6.989 * [taylor]: Taking taylor expansion of 0 in im
6.989 * [backup-simplify]: Simplify 0 into 0
6.989 * [backup-simplify]: Simplify 1 into 1
6.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.990 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.991 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.991 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.991 * [taylor]: Taking taylor expansion of 1/2 in im
6.991 * [backup-simplify]: Simplify 1/2 into 1/2
6.991 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.991 * [taylor]: Taking taylor expansion of im in im
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify 1 into 1
6.991 * [backup-simplify]: Simplify (* 1 1) into 1
6.992 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.993 * [backup-simplify]: Simplify 0 into 0
6.993 * [backup-simplify]: Simplify 0 into 0
6.993 * [backup-simplify]: Simplify 0 into 0
6.993 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.994 * [backup-simplify]: Simplify (+ 0 0) into 0
6.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.995 * [taylor]: Taking taylor expansion of 0 in im
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.996 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.996 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.996 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.996 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.996 * [taylor]: Taking taylor expansion of im in im
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify 1 into 1
7.000 * [backup-simplify]: Simplify (* 1 1) into 1
7.000 * [backup-simplify]: Simplify (/ 1 1) into 1
7.000 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.000 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.000 * [taylor]: Taking taylor expansion of re in im
7.000 * [backup-simplify]: Simplify re into re
7.000 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.000 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.001 * [backup-simplify]: Simplify (+ 1 0) into 1
7.001 * [backup-simplify]: Simplify (sqrt 1) into 1
7.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.002 * [backup-simplify]: Simplify (+ 0 0) into 0
7.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.002 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.002 * [taylor]: Taking taylor expansion of im in re
7.002 * [backup-simplify]: Simplify im into im
7.003 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.003 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.003 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.003 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.003 * [taylor]: Taking taylor expansion of re in re
7.003 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify 1 into 1
7.003 * [backup-simplify]: Simplify (* 1 1) into 1
7.003 * [backup-simplify]: Simplify (/ 1 1) into 1
7.003 * [backup-simplify]: Simplify (+ 0 1) into 1
7.004 * [backup-simplify]: Simplify (sqrt 1) into 1
7.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.005 * [backup-simplify]: Simplify (+ 0 0) into 0
7.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.005 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.005 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.005 * [taylor]: Taking taylor expansion of im in re
7.005 * [backup-simplify]: Simplify im into im
7.005 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.005 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.005 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.005 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.005 * [taylor]: Taking taylor expansion of re in re
7.005 * [backup-simplify]: Simplify 0 into 0
7.005 * [backup-simplify]: Simplify 1 into 1
7.006 * [backup-simplify]: Simplify (* 1 1) into 1
7.006 * [backup-simplify]: Simplify (/ 1 1) into 1
7.006 * [backup-simplify]: Simplify (+ 0 1) into 1
7.006 * [backup-simplify]: Simplify (sqrt 1) into 1
7.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.008 * [backup-simplify]: Simplify (+ 0 0) into 0
7.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.008 * [taylor]: Taking taylor expansion of 1 in im
7.008 * [backup-simplify]: Simplify 1 into 1
7.008 * [taylor]: Taking taylor expansion of 0 in im
7.008 * [backup-simplify]: Simplify 0 into 0
7.008 * [backup-simplify]: Simplify 1 into 1
7.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.009 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.010 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.010 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.010 * [taylor]: Taking taylor expansion of 1/2 in im
7.010 * [backup-simplify]: Simplify 1/2 into 1/2
7.010 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.010 * [taylor]: Taking taylor expansion of im in im
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 1 into 1
7.010 * [backup-simplify]: Simplify (* 1 1) into 1
7.011 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.013 * [backup-simplify]: Simplify (+ 0 0) into 0
7.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.014 * [taylor]: Taking taylor expansion of 0 in im
7.014 * [backup-simplify]: Simplify 0 into 0
7.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.015 * [backup-simplify]: Simplify 0 into 0
7.015 * [backup-simplify]: Simplify 0 into 0
7.015 * [backup-simplify]: Simplify 0 into 0
7.015 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.015 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 2 1)
7.015 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
7.015 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
7.015 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.015 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.015 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.015 * [taylor]: Taking taylor expansion of re in im
7.015 * [backup-simplify]: Simplify re into re
7.015 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.015 * [taylor]: Taking taylor expansion of im in im
7.015 * [backup-simplify]: Simplify 0 into 0
7.015 * [backup-simplify]: Simplify 1 into 1
7.015 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.015 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.016 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.016 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.016 * [backup-simplify]: Simplify (+ 0 0) into 0
7.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.016 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.016 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.016 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.016 * [taylor]: Taking taylor expansion of re in re
7.016 * [backup-simplify]: Simplify 0 into 0
7.016 * [backup-simplify]: Simplify 1 into 1
7.016 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.016 * [taylor]: Taking taylor expansion of im in re
7.016 * [backup-simplify]: Simplify im into im
7.016 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.016 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.016 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.016 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.017 * [backup-simplify]: Simplify (+ 0 0) into 0
7.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.017 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.017 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.017 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.017 * [taylor]: Taking taylor expansion of re in re
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 1 into 1
7.017 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.017 * [taylor]: Taking taylor expansion of im in re
7.017 * [backup-simplify]: Simplify im into im
7.017 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.017 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.017 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.017 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.017 * [backup-simplify]: Simplify (+ 0 0) into 0
7.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.018 * [taylor]: Taking taylor expansion of im in im
7.018 * [backup-simplify]: Simplify 0 into 0
7.018 * [backup-simplify]: Simplify 1 into 1
7.018 * [backup-simplify]: Simplify 0 into 0
7.018 * [taylor]: Taking taylor expansion of 0 in im
7.018 * [backup-simplify]: Simplify 0 into 0
7.018 * [backup-simplify]: Simplify 0 into 0
7.018 * [backup-simplify]: Simplify 1 into 1
7.018 * [backup-simplify]: Simplify (* 1 1) into 1
7.018 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.018 * [backup-simplify]: Simplify (+ 1 0) into 1
7.019 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.019 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.019 * [taylor]: Taking taylor expansion of 1/2 in im
7.019 * [backup-simplify]: Simplify 1/2 into 1/2
7.019 * [taylor]: Taking taylor expansion of im in im
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 1 into 1
7.019 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.021 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.021 * [backup-simplify]: Simplify (+ 0 0) into 0
7.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.021 * [taylor]: Taking taylor expansion of 0 in im
7.021 * [backup-simplify]: Simplify 0 into 0
7.021 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.022 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
7.022 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
7.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.022 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.022 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.022 * [taylor]: Taking taylor expansion of im in im
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify 1 into 1
7.022 * [backup-simplify]: Simplify (* 1 1) into 1
7.023 * [backup-simplify]: Simplify (/ 1 1) into 1
7.023 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.023 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.023 * [taylor]: Taking taylor expansion of re in im
7.023 * [backup-simplify]: Simplify re into re
7.023 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.023 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.023 * [backup-simplify]: Simplify (+ 1 0) into 1
7.023 * [backup-simplify]: Simplify (sqrt 1) into 1
7.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.024 * [backup-simplify]: Simplify (+ 0 0) into 0
7.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.025 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.025 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.025 * [taylor]: Taking taylor expansion of im in re
7.025 * [backup-simplify]: Simplify im into im
7.025 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.025 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.025 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.025 * [taylor]: Taking taylor expansion of re in re
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify 1 into 1
7.025 * [backup-simplify]: Simplify (* 1 1) into 1
7.026 * [backup-simplify]: Simplify (/ 1 1) into 1
7.026 * [backup-simplify]: Simplify (+ 0 1) into 1
7.026 * [backup-simplify]: Simplify (sqrt 1) into 1
7.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.027 * [backup-simplify]: Simplify (+ 0 0) into 0
7.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.028 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.028 * [taylor]: Taking taylor expansion of im in re
7.028 * [backup-simplify]: Simplify im into im
7.028 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.028 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.028 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.028 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.028 * [taylor]: Taking taylor expansion of re in re
7.028 * [backup-simplify]: Simplify 0 into 0
7.028 * [backup-simplify]: Simplify 1 into 1
7.028 * [backup-simplify]: Simplify (* 1 1) into 1
7.028 * [backup-simplify]: Simplify (/ 1 1) into 1
7.029 * [backup-simplify]: Simplify (+ 0 1) into 1
7.029 * [backup-simplify]: Simplify (sqrt 1) into 1
7.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.030 * [backup-simplify]: Simplify (+ 0 0) into 0
7.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.030 * [taylor]: Taking taylor expansion of 1 in im
7.030 * [backup-simplify]: Simplify 1 into 1
7.030 * [taylor]: Taking taylor expansion of 0 in im
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify 1 into 1
7.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.032 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.033 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.033 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.033 * [taylor]: Taking taylor expansion of 1/2 in im
7.033 * [backup-simplify]: Simplify 1/2 into 1/2
7.033 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.033 * [taylor]: Taking taylor expansion of im in im
7.033 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify 1 into 1
7.033 * [backup-simplify]: Simplify (* 1 1) into 1
7.033 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.034 * [backup-simplify]: Simplify 0 into 0
7.034 * [backup-simplify]: Simplify 0 into 0
7.034 * [backup-simplify]: Simplify 0 into 0
7.034 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.036 * [backup-simplify]: Simplify (+ 0 0) into 0
7.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.037 * [taylor]: Taking taylor expansion of 0 in im
7.037 * [backup-simplify]: Simplify 0 into 0
7.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.038 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.038 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
7.038 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
7.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.038 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.038 * [taylor]: Taking taylor expansion of im in im
7.038 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify 1 into 1
7.038 * [backup-simplify]: Simplify (* 1 1) into 1
7.039 * [backup-simplify]: Simplify (/ 1 1) into 1
7.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.039 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.039 * [taylor]: Taking taylor expansion of re in im
7.039 * [backup-simplify]: Simplify re into re
7.039 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.039 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.039 * [backup-simplify]: Simplify (+ 1 0) into 1
7.039 * [backup-simplify]: Simplify (sqrt 1) into 1
7.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.040 * [backup-simplify]: Simplify (+ 0 0) into 0
7.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.041 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.041 * [taylor]: Taking taylor expansion of im in re
7.041 * [backup-simplify]: Simplify im into im
7.041 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.041 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.041 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.041 * [taylor]: Taking taylor expansion of re in re
7.041 * [backup-simplify]: Simplify 0 into 0
7.041 * [backup-simplify]: Simplify 1 into 1
7.041 * [backup-simplify]: Simplify (* 1 1) into 1
7.042 * [backup-simplify]: Simplify (/ 1 1) into 1
7.042 * [backup-simplify]: Simplify (+ 0 1) into 1
7.042 * [backup-simplify]: Simplify (sqrt 1) into 1
7.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.043 * [backup-simplify]: Simplify (+ 0 0) into 0
7.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.044 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.044 * [taylor]: Taking taylor expansion of im in re
7.044 * [backup-simplify]: Simplify im into im
7.044 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.044 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.044 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.044 * [taylor]: Taking taylor expansion of re in re
7.044 * [backup-simplify]: Simplify 0 into 0
7.044 * [backup-simplify]: Simplify 1 into 1
7.044 * [backup-simplify]: Simplify (* 1 1) into 1
7.044 * [backup-simplify]: Simplify (/ 1 1) into 1
7.045 * [backup-simplify]: Simplify (+ 0 1) into 1
7.045 * [backup-simplify]: Simplify (sqrt 1) into 1
7.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.046 * [backup-simplify]: Simplify (+ 0 0) into 0
7.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.046 * [taylor]: Taking taylor expansion of 1 in im
7.046 * [backup-simplify]: Simplify 1 into 1
7.046 * [taylor]: Taking taylor expansion of 0 in im
7.046 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 1 into 1
7.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.048 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.048 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.049 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.049 * [taylor]: Taking taylor expansion of 1/2 in im
7.049 * [backup-simplify]: Simplify 1/2 into 1/2
7.049 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.049 * [taylor]: Taking taylor expansion of im in im
7.049 * [backup-simplify]: Simplify 0 into 0
7.049 * [backup-simplify]: Simplify 1 into 1
7.049 * [backup-simplify]: Simplify (* 1 1) into 1
7.049 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.052 * [backup-simplify]: Simplify (+ 0 0) into 0
7.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.052 * [taylor]: Taking taylor expansion of 0 in im
7.052 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.053 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.053 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 2 1)
7.053 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
7.053 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
7.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.053 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.054 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.054 * [taylor]: Taking taylor expansion of re in im
7.054 * [backup-simplify]: Simplify re into re
7.054 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.054 * [taylor]: Taking taylor expansion of im in im
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 1 into 1
7.054 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.054 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.054 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.054 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.054 * [backup-simplify]: Simplify (+ 0 0) into 0
7.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.054 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.054 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.054 * [taylor]: Taking taylor expansion of re in re
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 1 into 1
7.054 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.054 * [taylor]: Taking taylor expansion of im in re
7.054 * [backup-simplify]: Simplify im into im
7.054 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.055 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.055 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.055 * [backup-simplify]: Simplify (+ 0 0) into 0
7.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.055 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.055 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.055 * [taylor]: Taking taylor expansion of re in re
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 1 into 1
7.055 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.055 * [taylor]: Taking taylor expansion of im in re
7.055 * [backup-simplify]: Simplify im into im
7.055 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.055 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.055 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.056 * [backup-simplify]: Simplify (+ 0 0) into 0
7.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.056 * [taylor]: Taking taylor expansion of im in im
7.056 * [backup-simplify]: Simplify 0 into 0
7.056 * [backup-simplify]: Simplify 1 into 1
7.056 * [backup-simplify]: Simplify 0 into 0
7.056 * [taylor]: Taking taylor expansion of 0 in im
7.056 * [backup-simplify]: Simplify 0 into 0
7.056 * [backup-simplify]: Simplify 0 into 0
7.056 * [backup-simplify]: Simplify 1 into 1
7.056 * [backup-simplify]: Simplify (* 1 1) into 1
7.056 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.057 * [backup-simplify]: Simplify (+ 1 0) into 1
7.057 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.057 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.057 * [taylor]: Taking taylor expansion of 1/2 in im
7.057 * [backup-simplify]: Simplify 1/2 into 1/2
7.057 * [taylor]: Taking taylor expansion of im in im
7.057 * [backup-simplify]: Simplify 0 into 0
7.057 * [backup-simplify]: Simplify 1 into 1
7.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.059 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.059 * [backup-simplify]: Simplify (+ 0 0) into 0
7.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.059 * [taylor]: Taking taylor expansion of 0 in im
7.059 * [backup-simplify]: Simplify 0 into 0
7.059 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.060 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.060 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
7.060 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
7.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.060 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.060 * [taylor]: Taking taylor expansion of im in im
7.060 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify 1 into 1
7.061 * [backup-simplify]: Simplify (* 1 1) into 1
7.061 * [backup-simplify]: Simplify (/ 1 1) into 1
7.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.061 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.061 * [taylor]: Taking taylor expansion of re in im
7.061 * [backup-simplify]: Simplify re into re
7.061 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.061 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.061 * [backup-simplify]: Simplify (+ 1 0) into 1
7.062 * [backup-simplify]: Simplify (sqrt 1) into 1
7.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.063 * [backup-simplify]: Simplify (+ 0 0) into 0
7.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.063 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.063 * [taylor]: Taking taylor expansion of im in re
7.063 * [backup-simplify]: Simplify im into im
7.063 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.063 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.063 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.063 * [taylor]: Taking taylor expansion of re in re
7.063 * [backup-simplify]: Simplify 0 into 0
7.063 * [backup-simplify]: Simplify 1 into 1
7.064 * [backup-simplify]: Simplify (* 1 1) into 1
7.064 * [backup-simplify]: Simplify (/ 1 1) into 1
7.064 * [backup-simplify]: Simplify (+ 0 1) into 1
7.064 * [backup-simplify]: Simplify (sqrt 1) into 1
7.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.065 * [backup-simplify]: Simplify (+ 0 0) into 0
7.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.066 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.066 * [taylor]: Taking taylor expansion of im in re
7.066 * [backup-simplify]: Simplify im into im
7.066 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.066 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.066 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.066 * [taylor]: Taking taylor expansion of re in re
7.066 * [backup-simplify]: Simplify 0 into 0
7.066 * [backup-simplify]: Simplify 1 into 1
7.066 * [backup-simplify]: Simplify (* 1 1) into 1
7.067 * [backup-simplify]: Simplify (/ 1 1) into 1
7.067 * [backup-simplify]: Simplify (+ 0 1) into 1
7.067 * [backup-simplify]: Simplify (sqrt 1) into 1
7.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.068 * [backup-simplify]: Simplify (+ 0 0) into 0
7.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.069 * [taylor]: Taking taylor expansion of 1 in im
7.069 * [backup-simplify]: Simplify 1 into 1
7.069 * [taylor]: Taking taylor expansion of 0 in im
7.069 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify 1 into 1
7.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.070 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.071 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.071 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.071 * [taylor]: Taking taylor expansion of 1/2 in im
7.071 * [backup-simplify]: Simplify 1/2 into 1/2
7.071 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.071 * [taylor]: Taking taylor expansion of im in im
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [backup-simplify]: Simplify 1 into 1
7.071 * [backup-simplify]: Simplify (* 1 1) into 1
7.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.074 * [backup-simplify]: Simplify (+ 0 0) into 0
7.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.074 * [taylor]: Taking taylor expansion of 0 in im
7.074 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.075 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.076 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
7.076 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
7.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.076 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.076 * [taylor]: Taking taylor expansion of im in im
7.076 * [backup-simplify]: Simplify 0 into 0
7.076 * [backup-simplify]: Simplify 1 into 1
7.076 * [backup-simplify]: Simplify (* 1 1) into 1
7.076 * [backup-simplify]: Simplify (/ 1 1) into 1
7.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.076 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.076 * [taylor]: Taking taylor expansion of re in im
7.076 * [backup-simplify]: Simplify re into re
7.076 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.076 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.077 * [backup-simplify]: Simplify (+ 1 0) into 1
7.077 * [backup-simplify]: Simplify (sqrt 1) into 1
7.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.078 * [backup-simplify]: Simplify (+ 0 0) into 0
7.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.079 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.079 * [taylor]: Taking taylor expansion of im in re
7.079 * [backup-simplify]: Simplify im into im
7.079 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.079 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.079 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.079 * [taylor]: Taking taylor expansion of re in re
7.079 * [backup-simplify]: Simplify 0 into 0
7.079 * [backup-simplify]: Simplify 1 into 1
7.079 * [backup-simplify]: Simplify (* 1 1) into 1
7.079 * [backup-simplify]: Simplify (/ 1 1) into 1
7.080 * [backup-simplify]: Simplify (+ 0 1) into 1
7.080 * [backup-simplify]: Simplify (sqrt 1) into 1
7.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.081 * [backup-simplify]: Simplify (+ 0 0) into 0
7.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.081 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.081 * [taylor]: Taking taylor expansion of im in re
7.081 * [backup-simplify]: Simplify im into im
7.081 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.081 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.081 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.081 * [taylor]: Taking taylor expansion of re in re
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify 1 into 1
7.082 * [backup-simplify]: Simplify (* 1 1) into 1
7.082 * [backup-simplify]: Simplify (/ 1 1) into 1
7.082 * [backup-simplify]: Simplify (+ 0 1) into 1
7.082 * [backup-simplify]: Simplify (sqrt 1) into 1
7.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.083 * [backup-simplify]: Simplify (+ 0 0) into 0
7.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.084 * [taylor]: Taking taylor expansion of 1 in im
7.084 * [backup-simplify]: Simplify 1 into 1
7.084 * [taylor]: Taking taylor expansion of 0 in im
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.085 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.086 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.086 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.086 * [taylor]: Taking taylor expansion of 1/2 in im
7.086 * [backup-simplify]: Simplify 1/2 into 1/2
7.086 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.086 * [taylor]: Taking taylor expansion of im in im
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 1 into 1
7.087 * [backup-simplify]: Simplify (* 1 1) into 1
7.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.089 * [backup-simplify]: Simplify (+ 0 0) into 0
7.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.090 * [taylor]: Taking taylor expansion of 0 in im
7.090 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.091 * [backup-simplify]: Simplify 0 into 0
7.091 * [backup-simplify]: Simplify 0 into 0
7.091 * [backup-simplify]: Simplify 0 into 0
7.091 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.091 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
7.092 * [backup-simplify]: Simplify (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re) into (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2))))))
7.092 * [approximate]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
7.092 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in im
7.092 * [taylor]: Taking taylor expansion of re in im
7.092 * [backup-simplify]: Simplify re into re
7.092 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in im
7.092 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in im
7.092 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in im
7.092 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im
7.092 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.092 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.092 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.092 * [taylor]: Taking taylor expansion of re in im
7.092 * [backup-simplify]: Simplify re into re
7.092 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.092 * [taylor]: Taking taylor expansion of im in im
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 1 into 1
7.092 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.092 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.092 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.092 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.093 * [backup-simplify]: Simplify (+ 0 0) into 0
7.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.093 * [backup-simplify]: Simplify (log re) into (log re)
7.093 * [taylor]: Taking taylor expansion of (log E) in im
7.093 * [taylor]: Taking taylor expansion of E in im
7.093 * [backup-simplify]: Simplify E into E
7.093 * [backup-simplify]: Simplify (log E) into 1
7.093 * [backup-simplify]: Simplify (* (log re) 1) into (log re)
7.093 * [backup-simplify]: Simplify (exp (log re)) into re
7.093 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in re
7.093 * [taylor]: Taking taylor expansion of re in re
7.093 * [backup-simplify]: Simplify 0 into 0
7.093 * [backup-simplify]: Simplify 1 into 1
7.093 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re
7.093 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re
7.093 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re
7.093 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re
7.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.093 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.093 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.093 * [taylor]: Taking taylor expansion of re in re
7.093 * [backup-simplify]: Simplify 0 into 0
7.093 * [backup-simplify]: Simplify 1 into 1
7.093 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.093 * [taylor]: Taking taylor expansion of im in re
7.093 * [backup-simplify]: Simplify im into im
7.093 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.093 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.093 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.093 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.094 * [backup-simplify]: Simplify (+ 0 0) into 0
7.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.094 * [backup-simplify]: Simplify (log im) into (log im)
7.094 * [taylor]: Taking taylor expansion of (log E) in re
7.094 * [taylor]: Taking taylor expansion of E in re
7.094 * [backup-simplify]: Simplify E into E
7.094 * [backup-simplify]: Simplify (log E) into 1
7.094 * [backup-simplify]: Simplify (* (log im) 1) into (log im)
7.094 * [backup-simplify]: Simplify (exp (log im)) into im
7.094 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in re
7.094 * [taylor]: Taking taylor expansion of re in re
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 1 into 1
7.094 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re
7.094 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re
7.094 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re
7.094 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re
7.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.094 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.094 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.094 * [taylor]: Taking taylor expansion of re in re
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 1 into 1
7.094 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.094 * [taylor]: Taking taylor expansion of im in re
7.094 * [backup-simplify]: Simplify im into im
7.094 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.094 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.095 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.095 * [backup-simplify]: Simplify (+ 0 0) into 0
7.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.095 * [backup-simplify]: Simplify (log im) into (log im)
7.095 * [taylor]: Taking taylor expansion of (log E) in re
7.095 * [taylor]: Taking taylor expansion of E in re
7.095 * [backup-simplify]: Simplify E into E
7.095 * [backup-simplify]: Simplify (log E) into 1
7.095 * [backup-simplify]: Simplify (* (log im) 1) into (log im)
7.095 * [backup-simplify]: Simplify (exp (log im)) into im
7.095 * [backup-simplify]: Simplify (+ 0 im) into im
7.095 * [taylor]: Taking taylor expansion of im in im
7.095 * [backup-simplify]: Simplify 0 into 0
7.095 * [backup-simplify]: Simplify 1 into 1
7.095 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
7.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
7.097 * [backup-simplify]: Simplify (+ (* (log im) 0) (* 0 1)) into 0
7.098 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
7.098 * [backup-simplify]: Simplify (+ 1 0) into 1
7.098 * [taylor]: Taking taylor expansion of 1 in im
7.098 * [backup-simplify]: Simplify 1 into 1
7.098 * [backup-simplify]: Simplify 1 into 1
7.098 * [backup-simplify]: Simplify 1 into 1
7.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0
7.105 * [backup-simplify]: Simplify (* 1 1) into 1
7.106 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.106 * [backup-simplify]: Simplify (+ 1 0) into 1
7.106 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
7.108 * [backup-simplify]: Simplify (+ (* (log im) 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 1/2 (/ 1 (pow im 2)))
7.108 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im)
7.108 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
7.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
7.108 * [taylor]: Taking taylor expansion of 1/2 in im
7.109 * [backup-simplify]: Simplify 1/2 into 1/2
7.109 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.109 * [taylor]: Taking taylor expansion of im in im
7.109 * [backup-simplify]: Simplify 0 into 0
7.109 * [backup-simplify]: Simplify 1 into 1
7.109 * [backup-simplify]: Simplify (/ 1 1) into 1
7.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.110 * [backup-simplify]: Simplify 0 into 0
7.110 * [backup-simplify]: Simplify 0 into 0
7.110 * [backup-simplify]: Simplify 0 into 0
7.112 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) into 0
7.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.113 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.114 * [backup-simplify]: Simplify (+ 0 0) into 0
7.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.115 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
7.116 * [backup-simplify]: Simplify (+ (* (log im) 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0
7.117 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.118 * [backup-simplify]: Simplify (+ 0 0) into 0
7.118 * [taylor]: Taking taylor expansion of 0 in im
7.118 * [backup-simplify]: Simplify 0 into 0
7.118 * [backup-simplify]: Simplify 0 into 0
7.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
7.120 * [backup-simplify]: Simplify (+ (* (* (cbrt (pow E (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (cbrt (pow E (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (cbrt (pow E (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (/ 1 re)) into (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))
7.120 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0
7.120 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
7.120 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.120 * [taylor]: Taking taylor expansion of re in im
7.120 * [backup-simplify]: Simplify re into re
7.120 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.120 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
7.120 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im
7.120 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im
7.120 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.120 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.120 * [taylor]: Taking taylor expansion of im in im
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 1 into 1
7.120 * [backup-simplify]: Simplify (* 1 1) into 1
7.120 * [backup-simplify]: Simplify (/ 1 1) into 1
7.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.121 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.121 * [taylor]: Taking taylor expansion of re in im
7.121 * [backup-simplify]: Simplify re into re
7.121 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.121 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.121 * [backup-simplify]: Simplify (+ 1 0) into 1
7.121 * [backup-simplify]: Simplify (sqrt 1) into 1
7.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.122 * [backup-simplify]: Simplify (+ 0 0) into 0
7.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.123 * [backup-simplify]: Simplify (log 1) into 0
7.123 * [taylor]: Taking taylor expansion of (log E) in im
7.123 * [taylor]: Taking taylor expansion of E in im
7.123 * [backup-simplify]: Simplify E into E
7.123 * [backup-simplify]: Simplify (log E) into 1
7.123 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
7.123 * [backup-simplify]: Simplify (* (- (log im)) 1) into (* -1 (log im))
7.123 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
7.123 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
7.123 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.123 * [taylor]: Taking taylor expansion of re in re
7.124 * [backup-simplify]: Simplify 0 into 0
7.124 * [backup-simplify]: Simplify 1 into 1
7.124 * [backup-simplify]: Simplify (/ 1 1) into 1
7.124 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
7.124 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
7.124 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
7.124 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.124 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.124 * [taylor]: Taking taylor expansion of im in re
7.124 * [backup-simplify]: Simplify im into im
7.124 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.124 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.124 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.124 * [taylor]: Taking taylor expansion of re in re
7.124 * [backup-simplify]: Simplify 0 into 0
7.124 * [backup-simplify]: Simplify 1 into 1
7.124 * [backup-simplify]: Simplify (* 1 1) into 1
7.125 * [backup-simplify]: Simplify (/ 1 1) into 1
7.125 * [backup-simplify]: Simplify (+ 0 1) into 1
7.125 * [backup-simplify]: Simplify (sqrt 1) into 1
7.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.126 * [backup-simplify]: Simplify (+ 0 0) into 0
7.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.127 * [backup-simplify]: Simplify (log 1) into 0
7.127 * [taylor]: Taking taylor expansion of (log E) in re
7.127 * [taylor]: Taking taylor expansion of E in re
7.127 * [backup-simplify]: Simplify E into E
7.127 * [backup-simplify]: Simplify (log E) into 1
7.127 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
7.127 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
7.127 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
7.127 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
7.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.127 * [taylor]: Taking taylor expansion of re in re
7.127 * [backup-simplify]: Simplify 0 into 0
7.127 * [backup-simplify]: Simplify 1 into 1
7.128 * [backup-simplify]: Simplify (/ 1 1) into 1
7.128 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
7.128 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
7.128 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
7.128 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.128 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.128 * [taylor]: Taking taylor expansion of im in re
7.128 * [backup-simplify]: Simplify im into im
7.128 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.128 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.128 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.128 * [taylor]: Taking taylor expansion of re in re
7.128 * [backup-simplify]: Simplify 0 into 0
7.128 * [backup-simplify]: Simplify 1 into 1
7.128 * [backup-simplify]: Simplify (* 1 1) into 1
7.129 * [backup-simplify]: Simplify (/ 1 1) into 1
7.129 * [backup-simplify]: Simplify (+ 0 1) into 1
7.129 * [backup-simplify]: Simplify (sqrt 1) into 1
7.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.130 * [backup-simplify]: Simplify (+ 0 0) into 0
7.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.131 * [backup-simplify]: Simplify (log 1) into 0
7.131 * [taylor]: Taking taylor expansion of (log E) in re
7.131 * [taylor]: Taking taylor expansion of E in re
7.131 * [backup-simplify]: Simplify E into E
7.131 * [backup-simplify]: Simplify (log E) into 1
7.131 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
7.131 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
7.131 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
7.132 * [backup-simplify]: Simplify (+ 1 0) into 1
7.132 * [taylor]: Taking taylor expansion of 1 in im
7.132 * [backup-simplify]: Simplify 1 into 1
7.132 * [backup-simplify]: Simplify 1 into 1
7.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.132 * [backup-simplify]: Simplify (+ 0 (pow re -1)) into (pow re -1)
7.132 * [taylor]: Taking taylor expansion of (pow re -1) in im
7.132 * [taylor]: Taking taylor expansion of re in im
7.132 * [backup-simplify]: Simplify re into re
7.132 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.132 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.132 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.133 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
7.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
7.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.135 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (* 0 1)) into 0
7.136 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
7.136 * [backup-simplify]: Simplify (+ 0 0) into 0
7.136 * [taylor]: Taking taylor expansion of 0 in im
7.136 * [backup-simplify]: Simplify 0 into 0
7.136 * [backup-simplify]: Simplify 0 into 0
7.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.136 * [backup-simplify]: Simplify 0 into 0
7.136 * [backup-simplify]: Simplify 0 into 0
7.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.137 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
7.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0
7.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.140 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.141 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
7.142 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 1/2 (/ 1 (pow im 2)))
7.143 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2)))
7.143 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* re (pow im 2)))) into (* 1/2 (/ 1 (* re (pow im 2))))
7.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im
7.143 * [taylor]: Taking taylor expansion of 1/2 in im
7.143 * [backup-simplify]: Simplify 1/2 into 1/2
7.143 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im
7.143 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im
7.143 * [taylor]: Taking taylor expansion of re in im
7.143 * [backup-simplify]: Simplify re into re
7.143 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.143 * [taylor]: Taking taylor expansion of im in im
7.143 * [backup-simplify]: Simplify 0 into 0
7.143 * [backup-simplify]: Simplify 1 into 1
7.143 * [backup-simplify]: Simplify (* 1 1) into 1
7.143 * [backup-simplify]: Simplify (* re 1) into re
7.143 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.145 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0
7.145 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0
7.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
7.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 re)) (* 1 (* 1 (/ 1 (/ 1 re))))) into (* 2 re)
7.147 * [backup-simplify]: Simplify (+ (* (* (cbrt (pow E (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (cbrt (pow E (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (cbrt (pow E (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (/ 1 (- re))) into (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re))
7.147 * [approximate]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in (re im) around 0
7.147 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in im
7.147 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
7.147 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im
7.147 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im
7.147 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.147 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.147 * [taylor]: Taking taylor expansion of im in im
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify 1 into 1
7.147 * [backup-simplify]: Simplify (* 1 1) into 1
7.148 * [backup-simplify]: Simplify (/ 1 1) into 1
7.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.148 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.148 * [taylor]: Taking taylor expansion of re in im
7.148 * [backup-simplify]: Simplify re into re
7.148 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.148 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.148 * [backup-simplify]: Simplify (+ 1 0) into 1
7.148 * [backup-simplify]: Simplify (sqrt 1) into 1
7.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.149 * [backup-simplify]: Simplify (+ 0 0) into 0
7.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.150 * [backup-simplify]: Simplify (log 1) into 0
7.150 * [taylor]: Taking taylor expansion of (log E) in im
7.150 * [taylor]: Taking taylor expansion of E in im
7.150 * [backup-simplify]: Simplify E into E
7.150 * [backup-simplify]: Simplify (log E) into 1
7.150 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
7.150 * [backup-simplify]: Simplify (* (- (log im)) 1) into (* -1 (log im))
7.151 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
7.151 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.151 * [taylor]: Taking taylor expansion of re in im
7.151 * [backup-simplify]: Simplify re into re
7.151 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.151 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in re
7.151 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
7.151 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
7.151 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
7.151 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.151 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.151 * [taylor]: Taking taylor expansion of im in re
7.151 * [backup-simplify]: Simplify im into im
7.151 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.151 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.151 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.151 * [taylor]: Taking taylor expansion of re in re
7.151 * [backup-simplify]: Simplify 0 into 0
7.151 * [backup-simplify]: Simplify 1 into 1
7.151 * [backup-simplify]: Simplify (* 1 1) into 1
7.151 * [backup-simplify]: Simplify (/ 1 1) into 1
7.152 * [backup-simplify]: Simplify (+ 0 1) into 1
7.152 * [backup-simplify]: Simplify (sqrt 1) into 1
7.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.153 * [backup-simplify]: Simplify (+ 0 0) into 0
7.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.154 * [backup-simplify]: Simplify (log 1) into 0
7.154 * [taylor]: Taking taylor expansion of (log E) in re
7.154 * [taylor]: Taking taylor expansion of E in re
7.154 * [backup-simplify]: Simplify E into E
7.154 * [backup-simplify]: Simplify (log E) into 1
7.154 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
7.154 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
7.154 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
7.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.154 * [taylor]: Taking taylor expansion of re in re
7.154 * [backup-simplify]: Simplify 0 into 0
7.154 * [backup-simplify]: Simplify 1 into 1
7.154 * [backup-simplify]: Simplify (/ 1 1) into 1
7.154 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in re
7.154 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
7.154 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re
7.154 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re
7.155 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.155 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.155 * [taylor]: Taking taylor expansion of im in re
7.155 * [backup-simplify]: Simplify im into im
7.155 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.155 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.155 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.155 * [taylor]: Taking taylor expansion of re in re
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 1 into 1
7.155 * [backup-simplify]: Simplify (* 1 1) into 1
7.155 * [backup-simplify]: Simplify (/ 1 1) into 1
7.156 * [backup-simplify]: Simplify (+ 0 1) into 1
7.156 * [backup-simplify]: Simplify (sqrt 1) into 1
7.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.157 * [backup-simplify]: Simplify (+ 0 0) into 0
7.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.157 * [backup-simplify]: Simplify (log 1) into 0
7.158 * [taylor]: Taking taylor expansion of (log E) in re
7.158 * [taylor]: Taking taylor expansion of E in re
7.158 * [backup-simplify]: Simplify E into E
7.158 * [backup-simplify]: Simplify (log E) into 1
7.158 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
7.158 * [backup-simplify]: Simplify (* (- (log re)) 1) into (* -1 (log re))
7.158 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
7.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.158 * [taylor]: Taking taylor expansion of re in re
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 1 into 1
7.158 * [backup-simplify]: Simplify (/ 1 1) into 1
7.159 * [backup-simplify]: Simplify (- 1) into -1
7.159 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.159 * [taylor]: Taking taylor expansion of -1 in im
7.159 * [backup-simplify]: Simplify -1 into -1
7.159 * [backup-simplify]: Simplify -1 into -1
7.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.160 * [backup-simplify]: Simplify (- 0) into 0
7.160 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1)
7.160 * [taylor]: Taking taylor expansion of (pow re -1) in im
7.160 * [taylor]: Taking taylor expansion of re in im
7.160 * [backup-simplify]: Simplify re into re
7.160 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.160 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.160 * [backup-simplify]: Simplify 0 into 0
7.160 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
7.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
7.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.162 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (* 0 1)) into 0
7.163 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
7.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.163 * [backup-simplify]: Simplify (- 0) into 0
7.163 * [backup-simplify]: Simplify (+ 0 0) into 0
7.164 * [taylor]: Taking taylor expansion of 0 in im
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
7.166 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0
7.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.167 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.168 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
7.169 * [backup-simplify]: Simplify (+ (* (- (log re)) 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 1/2 (/ 1 (pow im 2)))
7.170 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2)))
7.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.171 * [backup-simplify]: Simplify (- 0) into 0
7.171 * [backup-simplify]: Simplify (+ (/ 1/2 (* re (pow im 2))) 0) into (* 1/2 (/ 1 (* re (pow im 2))))
7.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im
7.171 * [taylor]: Taking taylor expansion of 1/2 in im
7.171 * [backup-simplify]: Simplify 1/2 into 1/2
7.171 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im
7.171 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im
7.171 * [taylor]: Taking taylor expansion of re in im
7.171 * [backup-simplify]: Simplify re into re
7.171 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.171 * [taylor]: Taking taylor expansion of im in im
7.171 * [backup-simplify]: Simplify 0 into 0
7.171 * [backup-simplify]: Simplify 1 into 1
7.171 * [backup-simplify]: Simplify (* 1 1) into 1
7.171 * [backup-simplify]: Simplify (* re 1) into re
7.171 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.173 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0
7.173 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0
7.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
7.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0
7.174 * [backup-simplify]: Simplify 0 into 0
7.174 * [backup-simplify]: Simplify 0 into 0
7.174 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 (- re))) (* -1 (* 1 (/ 1 (/ 1 (- re)))))) into 0
7.174 * * * [progress]: simplifying candidates
7.175 * [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 (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))))) (exp re))
  (log (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re))
  (exp (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re))
  (* (cbrt (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))
  (cbrt (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re))
  (* (* (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re) (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)) (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re))
  (sqrt (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re))
  (sqrt (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re))
  (+ (pow (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) 3) (pow re 3))
  (+ (* (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))))) (- (* re re) (* (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))
  (- (* (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))))) (* re re))
  (- (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
7.176 * * [simplify]: Extracting # 0 : cost  0
7.176 * * [simplify]: Extracting # 1 : cost  0
7.176 * * [simplify]: Extracting # 2 : cost  0
7.177 * * [simplify]: Extracting # 3 : cost  0
7.177 * * [simplify]: Extracting # 4 : cost  0
7.177 * * [simplify]: Extracting # 5 : cost  0
7.177 * * [simplify]: Extracting # 6 : cost  0
7.177 * * [simplify]: Extracting # 7 : cost  0
7.177 * * [simplify]: Extracting # 8 : cost  0
7.177 * * [simplify]: Extracting # 9 : cost  0
7.177 * * [simplify]: iteration  0 :  66  enodes  (cost  1385 )
7.191 * * [simplify]: Extracting # 0 : cost  0
7.191 * * [simplify]: Extracting # 1 : cost  0
7.191 * * [simplify]: Extracting # 2 : cost  0
7.191 * * [simplify]: Extracting # 3 : cost  0
7.191 * * [simplify]: Extracting # 4 : cost  0
7.192 * * [simplify]: iteration  1 :  170  enodes  (cost  1289 )
7.237 * * [simplify]: Extracting # 0 : cost  0
7.238 * * [simplify]: Extracting # 1 : cost  0
7.238 * * [simplify]: Extracting # 2 : cost  0
7.239 * * [simplify]: Extracting # 3 : cost  0
7.239 * * [simplify]: Extracting # 4 : cost  0
7.240 * * [simplify]: iteration  2 :  436  enodes  (cost  729 )
7.395 * * [simplify]: Extracting # 0 : cost  0
7.397 * * [simplify]: Extracting # 1 : cost  0
7.398 * * [simplify]: Extracting # 2 : cost  0
7.399 * * [simplify]: Extracting # 3 : cost  0
7.401 * * [simplify]: iteration  3 :  1156  enodes  (cost  703 )
8.316 * * [simplify]: Extracting # 0 : cost  0
8.321 * * [simplify]: Extracting # 1 : cost  0
8.325 * * [simplify]: Extracting # 2 : cost  0
8.329 * * [simplify]: Extracting # 3 : cost  0
8.333 * * [simplify]: Extracting # 4 : cost  0
8.337 * * [simplify]: Extracting # 5 : cost  0
8.340 * * [simplify]: iteration  4 :  4356  enodes  (cost  703 )
9.855 * * [simplify]: Extracting # 0 : cost  0
9.860 * * [simplify]: Extracting # 1 : cost  0
9.865 * * [simplify]: Extracting # 2 : cost  0
9.869 * * [simplify]: Extracting # 3 : cost  0
9.876 * * [simplify]: iteration done:  5000  enodes  (cost  703 )
9.877 * [simplify]: Simplified to:
  (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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (log (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (pow (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re) 3)
  (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow re 3) (pow (pow E (log (sqrt (+ (* re re) (* im im))))) 3))
  (- (* re re) (* (pow E (log (sqrt (+ (* re re) (* im im))))) (- re (pow E (log (sqrt (+ (* re re) (* im im))))))))
  (- (pow E (* 2 (log (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (pow E (log (sqrt (+ (* re re) (* im im))))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
9.877 * * * [progress]: adding candidates to table
10.183 * [progress]: [Phase 3 of 3] Extracting.
10.183 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))>)
10.185 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
10.185 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))>)
10.229 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))>)
10.270 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))>)
10.320 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))>)
10.368 * * * [regime]: Found split indices: #<option (#s(si 0 167) #s(si 1 207) #s(si 4 255))>
10.369 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))>)
10.437 * [regimes]: Found splitpoints: (#s(sp 0 re 2.0091743860303698e-187) #s(sp 1 re 3.714271113375256e+17) #s(sp 4 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow E (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))>)
10.437 * [simplify]: Simplifying:
  (if (<= re 2.0091743860303698e-187) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 3.714271113375256e+17) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
10.437 * * [simplify]: Extracting # 0 : cost  0
10.437 * * [simplify]: Extracting # 1 : cost  0
10.437 * * [simplify]: Extracting # 2 : cost  0
10.437 * * [simplify]: Extracting # 3 : cost  0
10.438 * * [simplify]: Extracting # 4 : cost  0
10.438 * * [simplify]: Extracting # 5 : cost  0
10.438 * * [simplify]: Extracting # 6 : cost  0
10.438 * * [simplify]: Extracting # 7 : cost  0
10.438 * * [simplify]: Extracting # 8 : cost  0
10.438 * * [simplify]: Extracting # 9 : cost  0
10.438 * * [simplify]: Extracting # 10 : cost  0
10.438 * * [simplify]: Extracting # 11 : cost  0
10.438 * * [simplify]: Extracting # 12 : cost  0
10.438 * * [simplify]: Extracting # 13 : cost  0
10.438 * * [simplify]: Extracting # 14 : cost  0
10.438 * * [simplify]: Extracting # 15 : cost  0
10.438 * * [simplify]: Extracting # 16 : cost  0
10.438 * * [simplify]: Extracting # 17 : cost  0
10.438 * * [simplify]: iteration  0 :  34  enodes  (cost  81 )
10.439 * * [simplify]: Extracting # 0 : cost  0
10.440 * * [simplify]: iteration  1 :  45  enodes  (cost  81 )
10.441 * * [simplify]: Extracting # 0 : cost  0
10.441 * * [simplify]: iteration  2 :  47  enodes  (cost  81 )
10.443 * * [simplify]: Extracting # 0 : cost  0
10.443 * * [simplify]: iteration done:  47  enodes  (cost  81 )
10.443 * [simplify]: Simplified to:
  (if (<= re 2.0091743860303698e-187) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 3.714271113375256e+17) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
11.658 * [regime-testing]: Baseline error score: 40.53643128887467
11.659 * [regime-testing]: Oracle error score: 17.21815233664825
11.661 * [regime-testing]: End program error score: 27.078807738975264
11.715 * [regime-testing]: Target error score: 33.28270754312074