50.673 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.018 * * * [progress]: [2/2] Setting up program.
0.021 * [progress]: [Phase 2 of 3] Improving.
0.022 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.022 * * [simplify]: Extracting # 0 : cost  0
0.022 * * [simplify]: Extracting # 1 : cost  0
0.022 * * [simplify]: Extracting # 2 : cost  0
0.022 * * [simplify]: Extracting # 3 : cost  0
0.022 * * [simplify]: Extracting # 4 : cost  0
0.022 * * [simplify]: Extracting # 5 : cost  0
0.022 * * [simplify]: iteration  0 :  6  enodes  (cost  8 )
0.024 * * [simplify]: Extracting # 0 : cost  0
0.024 * * [simplify]: iteration  1 :  7  enodes  (cost  8 )
0.026 * * [simplify]: Extracting # 0 : cost  0
0.026 * * [simplify]: iteration done:  7  enodes  (cost  8 )
0.026 * [simplify]: Simplified to:
  (sqrt (+ (* re re) (* im im)))
0.027 * * [progress]: iteration 1 / 4
0.027 * * * [progress]: picking best candidate
0.030 * * * * [pick]: Picked  #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.030 * * * [progress]: localizing error
0.050 * * * [progress]: generating rewritten candidates
0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.079 * * * [progress]: generating series expansions
0.080 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.080 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.080 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.080 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.080 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.080 * [taylor]: Taking taylor expansion of re in im
0.080 * [backup-simplify]: Simplify re into re
0.080 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.080 * [taylor]: Taking taylor expansion of im in im
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.080 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.080 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.081 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.081 * [taylor]: Taking taylor expansion of re in re
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.082 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.082 * [taylor]: Taking taylor expansion of im in re
0.082 * [backup-simplify]: Simplify im into im
0.082 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.082 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.082 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.082 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.083 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.083 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.083 * [taylor]: Taking taylor expansion of re in re
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.083 * [taylor]: Taking taylor expansion of im in re
0.083 * [backup-simplify]: Simplify im into im
0.083 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.083 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.083 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.083 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.084 * [taylor]: Taking taylor expansion of im in im
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [taylor]: Taking taylor expansion of 0 in im
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (* 1 1) into 1
0.085 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.085 * [backup-simplify]: Simplify (+ 1 0) into 1
0.086 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.086 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.086 * [taylor]: Taking taylor expansion of 1/2 in im
0.086 * [backup-simplify]: Simplify 1/2 into 1/2
0.086 * [taylor]: Taking taylor expansion of im in im
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.089 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.089 * [taylor]: Taking taylor expansion of 0 in im
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.091 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.091 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.091 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.091 * [taylor]: Taking taylor expansion of im in im
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (* 1 1) into 1
0.092 * [backup-simplify]: Simplify (/ 1 1) into 1
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.092 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.092 * [taylor]: Taking taylor expansion of re in im
0.092 * [backup-simplify]: Simplify re into re
0.092 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.092 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.092 * [backup-simplify]: Simplify (+ 1 0) into 1
0.093 * [backup-simplify]: Simplify (sqrt 1) into 1
0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.095 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.095 * [taylor]: Taking taylor expansion of im in re
0.095 * [backup-simplify]: Simplify im into im
0.095 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.095 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.095 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.095 * [taylor]: Taking taylor expansion of re in re
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (* 1 1) into 1
0.096 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [backup-simplify]: Simplify (+ 0 1) into 1
0.097 * [backup-simplify]: Simplify (sqrt 1) into 1
0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.099 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.099 * [taylor]: Taking taylor expansion of im in re
0.099 * [backup-simplify]: Simplify im into im
0.099 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.100 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.100 * [taylor]: Taking taylor expansion of re in re
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify (* 1 1) into 1
0.100 * [backup-simplify]: Simplify (/ 1 1) into 1
0.101 * [backup-simplify]: Simplify (+ 0 1) into 1
0.101 * [backup-simplify]: Simplify (sqrt 1) into 1
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.103 * [taylor]: Taking taylor expansion of 1 in im
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [taylor]: Taking taylor expansion of 0 in im
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.107 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.107 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.107 * [taylor]: Taking taylor expansion of 1/2 in im
0.107 * [backup-simplify]: Simplify 1/2 into 1/2
0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.107 * [taylor]: Taking taylor expansion of im in im
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.112 * [taylor]: Taking taylor expansion of 0 in im
0.112 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.114 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.114 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.115 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.115 * [taylor]: Taking taylor expansion of im in im
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (* 1 1) into 1
0.115 * [backup-simplify]: Simplify (/ 1 1) into 1
0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.115 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.116 * [taylor]: Taking taylor expansion of re in im
0.116 * [backup-simplify]: Simplify re into re
0.116 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.116 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.116 * [backup-simplify]: Simplify (+ 1 0) into 1
0.117 * [backup-simplify]: Simplify (sqrt 1) into 1
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.119 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.119 * [taylor]: Taking taylor expansion of im in re
0.120 * [backup-simplify]: Simplify im into im
0.120 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.120 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.120 * [taylor]: Taking taylor expansion of re in re
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify (* 1 1) into 1
0.121 * [backup-simplify]: Simplify (/ 1 1) into 1
0.121 * [backup-simplify]: Simplify (+ 0 1) into 1
0.122 * [backup-simplify]: Simplify (sqrt 1) into 1
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.124 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.124 * [taylor]: Taking taylor expansion of im in re
0.124 * [backup-simplify]: Simplify im into im
0.124 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.124 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.125 * [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 * [backup-simplify]: Simplify (* 1 1) into 1
0.125 * [backup-simplify]: Simplify (/ 1 1) into 1
0.126 * [backup-simplify]: Simplify (+ 0 1) into 1
0.126 * [backup-simplify]: Simplify (sqrt 1) into 1
0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.129 * [taylor]: Taking taylor expansion of 1 in im
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [taylor]: Taking taylor expansion of 0 in im
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.132 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.133 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.133 * [taylor]: Taking taylor expansion of 1/2 in im
0.133 * [backup-simplify]: Simplify 1/2 into 1/2
0.133 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.133 * [taylor]: Taking taylor expansion of im in im
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (* 1 1) into 1
0.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.139 * [taylor]: Taking taylor expansion of 0 in im
0.139 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.141 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.141 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.141 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.141 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.141 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.141 * [taylor]: Taking taylor expansion of re in im
0.141 * [backup-simplify]: Simplify re into re
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
0.141 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.141 * [taylor]: Taking taylor expansion of re in re
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.142 * [taylor]: Taking taylor expansion of im in re
0.142 * [backup-simplify]: Simplify im into im
0.142 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.142 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.142 * [taylor]: Taking taylor expansion of re in re
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.142 * [taylor]: Taking taylor expansion of im in re
0.142 * [backup-simplify]: Simplify im into im
0.142 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.142 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.142 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.142 * [taylor]: Taking taylor expansion of im in im
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.142 * [backup-simplify]: Simplify (+ 0 0) into 0
0.142 * [taylor]: Taking taylor expansion of 0 in im
0.142 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (* 1 1) into 1
0.143 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.143 * [backup-simplify]: Simplify (+ 1 0) into 1
0.143 * [taylor]: Taking taylor expansion of 1 in im
0.143 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (* 1 1) into 1
0.144 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.145 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.147 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [taylor]: Taking taylor expansion of 0 in im
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.147 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.147 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.148 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.148 * [taylor]: Taking taylor expansion of im in im
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (* 1 1) into 1
0.148 * [backup-simplify]: Simplify (/ 1 1) into 1
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.148 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.148 * [taylor]: Taking taylor expansion of re in im
0.148 * [backup-simplify]: Simplify re into re
0.148 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.148 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.148 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.148 * [taylor]: Taking taylor expansion of im in re
0.148 * [backup-simplify]: Simplify im into im
0.148 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.149 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.149 * [taylor]: Taking taylor expansion of re in re
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify (* 1 1) into 1
0.149 * [backup-simplify]: Simplify (/ 1 1) into 1
0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.149 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.149 * [taylor]: Taking taylor expansion of im in re
0.149 * [backup-simplify]: Simplify im into im
0.149 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.149 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.149 * [taylor]: Taking taylor expansion of re in re
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (* 1 1) into 1
0.150 * [backup-simplify]: Simplify (/ 1 1) into 1
0.150 * [backup-simplify]: Simplify (+ 0 1) into 1
0.150 * [taylor]: Taking taylor expansion of 1 in im
0.150 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [taylor]: Taking taylor expansion of 0 in im
0.151 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.153 * [taylor]: Taking taylor expansion of im in im
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (* 1 1) into 1
0.153 * [backup-simplify]: Simplify (/ 1 1) into 1
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [taylor]: Taking taylor expansion of 0 in im
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [taylor]: Taking taylor expansion of 0 in im
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.159 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.159 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.160 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.160 * [taylor]: Taking taylor expansion of im in im
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify (* 1 1) into 1
0.160 * [backup-simplify]: Simplify (/ 1 1) into 1
0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.160 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.160 * [taylor]: Taking taylor expansion of re in im
0.160 * [backup-simplify]: Simplify re into re
0.160 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.160 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.160 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.160 * [taylor]: Taking taylor expansion of im in re
0.160 * [backup-simplify]: Simplify im into im
0.160 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.161 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.161 * [taylor]: Taking taylor expansion of re in re
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify (* 1 1) into 1
0.161 * [backup-simplify]: Simplify (/ 1 1) into 1
0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.161 * [taylor]: Taking taylor expansion of im in re
0.161 * [backup-simplify]: Simplify im into im
0.161 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.161 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.161 * [taylor]: Taking taylor expansion of re in re
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (* 1 1) into 1
0.162 * [backup-simplify]: Simplify (/ 1 1) into 1
0.162 * [backup-simplify]: Simplify (+ 0 1) into 1
0.163 * [taylor]: Taking taylor expansion of 1 in im
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [taylor]: Taking taylor expansion of 0 in im
0.164 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.172 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.172 * [taylor]: Taking taylor expansion of im in im
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (* 1 1) into 1
0.172 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.175 * [taylor]: Taking taylor expansion of 0 in im
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (+ 0 0) into 0
0.179 * [taylor]: Taking taylor expansion of 0 in im
0.179 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.182 * * * [progress]: simplifying candidates
0.182 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
0.184 * * [simplify]: Extracting # 0 : cost  0
0.184 * * [simplify]: Extracting # 1 : cost  0
0.184 * * [simplify]: Extracting # 2 : cost  0
0.184 * * [simplify]: Extracting # 3 : cost  0
0.184 * * [simplify]: Extracting # 4 : cost  0
0.184 * * [simplify]: Extracting # 5 : cost  0
0.184 * * [simplify]: iteration  0 :  48  enodes  (cost  379 )
0.221 * * [simplify]: Extracting # 0 : cost  0
0.222 * * [simplify]: Extracting # 1 : cost  0
0.222 * * [simplify]: Extracting # 2 : cost  0
0.223 * * [simplify]: Extracting # 3 : cost  0
0.223 * * [simplify]: Extracting # 4 : cost  0
0.223 * * [simplify]: Extracting # 5 : cost  0
0.224 * * [simplify]: iteration  1 :  266  enodes  (cost  339 )
1.074 * * [simplify]: Extracting # 0 : cost  0
1.080 * * [simplify]: Extracting # 1 : cost  0
1.086 * * [simplify]: Extracting # 2 : cost  0
1.092 * * [simplify]: Extracting # 3 : cost  0
1.098 * * [simplify]: Extracting # 4 : cost  0
1.104 * * [simplify]: Extracting # 5 : cost  0
1.109 * * [simplify]: iteration  2 :  2801  enodes  (cost  295 )
5.734 * * [simplify]: Extracting # 0 : cost  0
5.743 * * [simplify]: Extracting # 1 : cost  0
5.748 * * [simplify]: Extracting # 2 : cost  0
5.753 * * [simplify]: Extracting # 3 : cost  0
5.758 * * [simplify]: Extracting # 4 : cost  0
5.767 * * [simplify]: Extracting # 5 : cost  0
5.775 * * [simplify]: iteration done:  5000  enodes  (cost  295 )
5.776 * [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) (* re re))) im) (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 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) (* re re))) im) (pow re 4))
  (- (pow re 4) (pow im 4))
  (* (- re im) (+ re im))
  im
  re
  (- re)
  (+ (* re re) (pow im 2))
  (+ (* re re) (pow im 2))
  (+ (* re re) (pow im 2))
5.776 * * * [progress]: adding candidates to table
5.903 * * [progress]: iteration 2 / 4
5.903 * * * [progress]: picking best candidate
5.922 * * * * [pick]: Picked  #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>
5.922 * * * [progress]: localizing error
5.933 * * * [progress]: generating rewritten candidates
5.933 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
5.941 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
5.959 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
6.036 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
6.066 * * * [progress]: generating series expansions
6.066 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
6.067 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.067 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.067 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.067 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.067 * [taylor]: Taking taylor expansion of re in im
6.067 * [backup-simplify]: Simplify re into re
6.067 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.067 * [taylor]: Taking taylor expansion of im in im
6.067 * [backup-simplify]: Simplify 0 into 0
6.067 * [backup-simplify]: Simplify 1 into 1
6.067 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.067 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.067 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.068 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.068 * [backup-simplify]: Simplify (+ 0 0) into 0
6.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.069 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.069 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.069 * [taylor]: Taking taylor expansion of re in re
6.069 * [backup-simplify]: Simplify 0 into 0
6.069 * [backup-simplify]: Simplify 1 into 1
6.069 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.069 * [taylor]: Taking taylor expansion of im in re
6.069 * [backup-simplify]: Simplify im into im
6.069 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.069 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.069 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.069 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.070 * [backup-simplify]: Simplify (+ 0 0) into 0
6.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.070 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.070 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.070 * [taylor]: Taking taylor expansion of re in re
6.070 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify 1 into 1
6.070 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.070 * [taylor]: Taking taylor expansion of im in re
6.070 * [backup-simplify]: Simplify im into im
6.070 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.070 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.070 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.071 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.071 * [backup-simplify]: Simplify (+ 0 0) into 0
6.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.071 * [taylor]: Taking taylor expansion of im in im
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 1 into 1
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [taylor]: Taking taylor expansion of 0 in im
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 1 into 1
6.072 * [backup-simplify]: Simplify (* 1 1) into 1
6.072 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.073 * [backup-simplify]: Simplify (+ 1 0) into 1
6.074 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.074 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.074 * [taylor]: Taking taylor expansion of 1/2 in im
6.074 * [backup-simplify]: Simplify 1/2 into 1/2
6.074 * [taylor]: Taking taylor expansion of im in im
6.074 * [backup-simplify]: Simplify 0 into 0
6.074 * [backup-simplify]: Simplify 1 into 1
6.074 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.076 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.076 * [backup-simplify]: Simplify (+ 0 0) into 0
6.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.076 * [taylor]: Taking taylor expansion of 0 in im
6.076 * [backup-simplify]: Simplify 0 into 0
6.076 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.077 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.077 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.077 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.077 * [taylor]: Taking taylor expansion of im in im
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify 1 into 1
6.078 * [backup-simplify]: Simplify (* 1 1) into 1
6.078 * [backup-simplify]: Simplify (/ 1 1) into 1
6.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.078 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.078 * [taylor]: Taking taylor expansion of re in im
6.078 * [backup-simplify]: Simplify re into re
6.078 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.078 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.078 * [backup-simplify]: Simplify (+ 1 0) into 1
6.079 * [backup-simplify]: Simplify (sqrt 1) into 1
6.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.080 * [backup-simplify]: Simplify (+ 0 0) into 0
6.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.081 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.081 * [taylor]: Taking taylor expansion of im in re
6.081 * [backup-simplify]: Simplify im into im
6.081 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.081 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.081 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.081 * [taylor]: Taking taylor expansion of re in re
6.081 * [backup-simplify]: Simplify 0 into 0
6.081 * [backup-simplify]: Simplify 1 into 1
6.081 * [backup-simplify]: Simplify (* 1 1) into 1
6.081 * [backup-simplify]: Simplify (/ 1 1) into 1
6.082 * [backup-simplify]: Simplify (+ 0 1) into 1
6.082 * [backup-simplify]: Simplify (sqrt 1) into 1
6.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.083 * [backup-simplify]: Simplify (+ 0 0) into 0
6.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.084 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.084 * [taylor]: Taking taylor expansion of im in re
6.084 * [backup-simplify]: Simplify im into im
6.084 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.084 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.084 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.084 * [taylor]: Taking taylor expansion of re in re
6.084 * [backup-simplify]: Simplify 0 into 0
6.084 * [backup-simplify]: Simplify 1 into 1
6.084 * [backup-simplify]: Simplify (* 1 1) into 1
6.085 * [backup-simplify]: Simplify (/ 1 1) into 1
6.085 * [backup-simplify]: Simplify (+ 0 1) into 1
6.085 * [backup-simplify]: Simplify (sqrt 1) into 1
6.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.086 * [backup-simplify]: Simplify (+ 0 0) into 0
6.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.087 * [taylor]: Taking taylor expansion of 1 in im
6.087 * [backup-simplify]: Simplify 1 into 1
6.087 * [taylor]: Taking taylor expansion of 0 in im
6.087 * [backup-simplify]: Simplify 0 into 0
6.087 * [backup-simplify]: Simplify 1 into 1
6.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.088 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.089 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.089 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.089 * [taylor]: Taking taylor expansion of 1/2 in im
6.089 * [backup-simplify]: Simplify 1/2 into 1/2
6.089 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.089 * [taylor]: Taking taylor expansion of im in im
6.089 * [backup-simplify]: Simplify 0 into 0
6.089 * [backup-simplify]: Simplify 1 into 1
6.089 * [backup-simplify]: Simplify (* 1 1) into 1
6.090 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.091 * [backup-simplify]: Simplify 0 into 0
6.091 * [backup-simplify]: Simplify 0 into 0
6.091 * [backup-simplify]: Simplify 0 into 0
6.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.092 * [backup-simplify]: Simplify (+ 0 0) into 0
6.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.093 * [taylor]: Taking taylor expansion of 0 in im
6.093 * [backup-simplify]: Simplify 0 into 0
6.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.094 * [backup-simplify]: Simplify 0 into 0
6.094 * [backup-simplify]: Simplify 0 into 0
6.094 * [backup-simplify]: Simplify 0 into 0
6.094 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.094 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.094 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.095 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.095 * [taylor]: Taking taylor expansion of im in im
6.095 * [backup-simplify]: Simplify 0 into 0
6.095 * [backup-simplify]: Simplify 1 into 1
6.095 * [backup-simplify]: Simplify (* 1 1) into 1
6.095 * [backup-simplify]: Simplify (/ 1 1) into 1
6.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.095 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.095 * [taylor]: Taking taylor expansion of re in im
6.095 * [backup-simplify]: Simplify re into re
6.095 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.095 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.096 * [backup-simplify]: Simplify (+ 1 0) into 1
6.096 * [backup-simplify]: Simplify (sqrt 1) into 1
6.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.097 * [backup-simplify]: Simplify (+ 0 0) into 0
6.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.097 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.097 * [taylor]: Taking taylor expansion of im in re
6.097 * [backup-simplify]: Simplify im into im
6.098 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.098 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.098 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.098 * [taylor]: Taking taylor expansion of re in re
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify 1 into 1
6.098 * [backup-simplify]: Simplify (* 1 1) into 1
6.098 * [backup-simplify]: Simplify (/ 1 1) into 1
6.099 * [backup-simplify]: Simplify (+ 0 1) into 1
6.099 * [backup-simplify]: Simplify (sqrt 1) into 1
6.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.100 * [backup-simplify]: Simplify (+ 0 0) into 0
6.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.100 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.100 * [taylor]: Taking taylor expansion of im in re
6.100 * [backup-simplify]: Simplify im into im
6.101 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.101 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.101 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.101 * [taylor]: Taking taylor expansion of re in re
6.101 * [backup-simplify]: Simplify 0 into 0
6.101 * [backup-simplify]: Simplify 1 into 1
6.101 * [backup-simplify]: Simplify (* 1 1) into 1
6.101 * [backup-simplify]: Simplify (/ 1 1) into 1
6.101 * [backup-simplify]: Simplify (+ 0 1) into 1
6.102 * [backup-simplify]: Simplify (sqrt 1) into 1
6.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.103 * [backup-simplify]: Simplify (+ 0 0) into 0
6.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.104 * [taylor]: Taking taylor expansion of 1 in im
6.104 * [backup-simplify]: Simplify 1 into 1
6.104 * [taylor]: Taking taylor expansion of 0 in im
6.104 * [backup-simplify]: Simplify 0 into 0
6.104 * [backup-simplify]: Simplify 1 into 1
6.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.107 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.108 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.108 * [taylor]: Taking taylor expansion of 1/2 in im
6.108 * [backup-simplify]: Simplify 1/2 into 1/2
6.108 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.108 * [taylor]: Taking taylor expansion of im in im
6.108 * [backup-simplify]: Simplify 0 into 0
6.108 * [backup-simplify]: Simplify 1 into 1
6.109 * [backup-simplify]: Simplify (* 1 1) into 1
6.109 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.114 * [backup-simplify]: Simplify (+ 0 0) into 0
6.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.115 * [taylor]: Taking taylor expansion of 0 in im
6.115 * [backup-simplify]: Simplify 0 into 0
6.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.117 * [backup-simplify]: Simplify 0 into 0
6.117 * [backup-simplify]: Simplify 0 into 0
6.117 * [backup-simplify]: Simplify 0 into 0
6.117 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.117 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
6.117 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.117 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.118 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.118 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.118 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.118 * [taylor]: Taking taylor expansion of re in im
6.118 * [backup-simplify]: Simplify re into re
6.118 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.118 * [taylor]: Taking taylor expansion of im in im
6.118 * [backup-simplify]: Simplify 0 into 0
6.118 * [backup-simplify]: Simplify 1 into 1
6.118 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.118 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.118 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.118 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.119 * [backup-simplify]: Simplify (+ 0 0) into 0
6.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.119 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.119 * [taylor]: Taking taylor expansion of re in re
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify 1 into 1
6.119 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.119 * [taylor]: Taking taylor expansion of im in re
6.119 * [backup-simplify]: Simplify im into im
6.119 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.120 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.120 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.120 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.120 * [backup-simplify]: Simplify (+ 0 0) into 0
6.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.120 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.120 * [taylor]: Taking taylor expansion of re in re
6.121 * [backup-simplify]: Simplify 0 into 0
6.121 * [backup-simplify]: Simplify 1 into 1
6.121 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.121 * [taylor]: Taking taylor expansion of im in re
6.121 * [backup-simplify]: Simplify im into im
6.121 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.121 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.121 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.121 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.121 * [backup-simplify]: Simplify (+ 0 0) into 0
6.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.122 * [taylor]: Taking taylor expansion of im in im
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 1 into 1
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [taylor]: Taking taylor expansion of 0 in im
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 1 into 1
6.122 * [backup-simplify]: Simplify (* 1 1) into 1
6.123 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.123 * [backup-simplify]: Simplify (+ 1 0) into 1
6.124 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.124 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.124 * [taylor]: Taking taylor expansion of 1/2 in im
6.124 * [backup-simplify]: Simplify 1/2 into 1/2
6.124 * [taylor]: Taking taylor expansion of im in im
6.124 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify 1 into 1
6.125 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.127 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.128 * [backup-simplify]: Simplify (+ 0 0) into 0
6.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.128 * [taylor]: Taking taylor expansion of 0 in im
6.128 * [backup-simplify]: Simplify 0 into 0
6.128 * [backup-simplify]: Simplify 0 into 0
6.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.129 * [backup-simplify]: Simplify 0 into 0
6.129 * [backup-simplify]: Simplify 0 into 0
6.129 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.130 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.130 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.130 * [taylor]: Taking taylor expansion of im in im
6.130 * [backup-simplify]: Simplify 0 into 0
6.130 * [backup-simplify]: Simplify 1 into 1
6.130 * [backup-simplify]: Simplify (* 1 1) into 1
6.131 * [backup-simplify]: Simplify (/ 1 1) into 1
6.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.131 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.131 * [taylor]: Taking taylor expansion of re in im
6.131 * [backup-simplify]: Simplify re into re
6.131 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.131 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.132 * [backup-simplify]: Simplify (+ 1 0) into 1
6.132 * [backup-simplify]: Simplify (sqrt 1) into 1
6.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.134 * [backup-simplify]: Simplify (+ 0 0) into 0
6.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.135 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.135 * [taylor]: Taking taylor expansion of im in re
6.135 * [backup-simplify]: Simplify im into im
6.135 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.136 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.136 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.136 * [taylor]: Taking taylor expansion of re in re
6.136 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify 1 into 1
6.136 * [backup-simplify]: Simplify (* 1 1) into 1
6.137 * [backup-simplify]: Simplify (/ 1 1) into 1
6.137 * [backup-simplify]: Simplify (+ 0 1) into 1
6.138 * [backup-simplify]: Simplify (sqrt 1) into 1
6.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.139 * [backup-simplify]: Simplify (+ 0 0) into 0
6.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.140 * [taylor]: Taking taylor expansion of im in re
6.140 * [backup-simplify]: Simplify im into im
6.140 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.141 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.141 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.141 * [taylor]: Taking taylor expansion of re in re
6.141 * [backup-simplify]: Simplify 0 into 0
6.141 * [backup-simplify]: Simplify 1 into 1
6.141 * [backup-simplify]: Simplify (* 1 1) into 1
6.141 * [backup-simplify]: Simplify (/ 1 1) into 1
6.142 * [backup-simplify]: Simplify (+ 0 1) into 1
6.142 * [backup-simplify]: Simplify (sqrt 1) into 1
6.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.144 * [backup-simplify]: Simplify (+ 0 0) into 0
6.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.145 * [taylor]: Taking taylor expansion of 1 in im
6.145 * [backup-simplify]: Simplify 1 into 1
6.145 * [taylor]: Taking taylor expansion of 0 in im
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify 1 into 1
6.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.147 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.149 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.149 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.149 * [taylor]: Taking taylor expansion of 1/2 in im
6.149 * [backup-simplify]: Simplify 1/2 into 1/2
6.149 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.149 * [taylor]: Taking taylor expansion of im in im
6.149 * [backup-simplify]: Simplify 0 into 0
6.149 * [backup-simplify]: Simplify 1 into 1
6.149 * [backup-simplify]: Simplify (* 1 1) into 1
6.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.151 * [backup-simplify]: Simplify 0 into 0
6.151 * [backup-simplify]: Simplify 0 into 0
6.152 * [backup-simplify]: Simplify 0 into 0
6.152 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.154 * [backup-simplify]: Simplify (+ 0 0) into 0
6.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.155 * [taylor]: Taking taylor expansion of 0 in im
6.155 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.157 * [backup-simplify]: Simplify 0 into 0
6.157 * [backup-simplify]: Simplify 0 into 0
6.157 * [backup-simplify]: Simplify 0 into 0
6.157 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.158 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.158 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.158 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.158 * [taylor]: Taking taylor expansion of im in im
6.158 * [backup-simplify]: Simplify 0 into 0
6.158 * [backup-simplify]: Simplify 1 into 1
6.159 * [backup-simplify]: Simplify (* 1 1) into 1
6.159 * [backup-simplify]: Simplify (/ 1 1) into 1
6.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.159 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.159 * [taylor]: Taking taylor expansion of re in im
6.159 * [backup-simplify]: Simplify re into re
6.159 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.159 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.160 * [backup-simplify]: Simplify (+ 1 0) into 1
6.160 * [backup-simplify]: Simplify (sqrt 1) into 1
6.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.162 * [backup-simplify]: Simplify (+ 0 0) into 0
6.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.163 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.163 * [taylor]: Taking taylor expansion of im in re
6.163 * [backup-simplify]: Simplify im into im
6.163 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.164 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.164 * [taylor]: Taking taylor expansion of re in re
6.164 * [backup-simplify]: Simplify 0 into 0
6.164 * [backup-simplify]: Simplify 1 into 1
6.164 * [backup-simplify]: Simplify (* 1 1) into 1
6.165 * [backup-simplify]: Simplify (/ 1 1) into 1
6.165 * [backup-simplify]: Simplify (+ 0 1) into 1
6.165 * [backup-simplify]: Simplify (sqrt 1) into 1
6.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.167 * [backup-simplify]: Simplify (+ 0 0) into 0
6.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.168 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.168 * [taylor]: Taking taylor expansion of im in re
6.168 * [backup-simplify]: Simplify im into im
6.168 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.168 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.169 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.169 * [taylor]: Taking taylor expansion of re in re
6.169 * [backup-simplify]: Simplify 0 into 0
6.169 * [backup-simplify]: Simplify 1 into 1
6.169 * [backup-simplify]: Simplify (* 1 1) into 1
6.169 * [backup-simplify]: Simplify (/ 1 1) into 1
6.170 * [backup-simplify]: Simplify (+ 0 1) into 1
6.170 * [backup-simplify]: Simplify (sqrt 1) into 1
6.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.172 * [backup-simplify]: Simplify (+ 0 0) into 0
6.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.173 * [taylor]: Taking taylor expansion of 1 in im
6.173 * [backup-simplify]: Simplify 1 into 1
6.173 * [taylor]: Taking taylor expansion of 0 in im
6.173 * [backup-simplify]: Simplify 0 into 0
6.173 * [backup-simplify]: Simplify 1 into 1
6.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.176 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.177 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.177 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.177 * [taylor]: Taking taylor expansion of 1/2 in im
6.177 * [backup-simplify]: Simplify 1/2 into 1/2
6.177 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.177 * [taylor]: Taking taylor expansion of im in im
6.177 * [backup-simplify]: Simplify 0 into 0
6.177 * [backup-simplify]: Simplify 1 into 1
6.178 * [backup-simplify]: Simplify (* 1 1) into 1
6.178 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.180 * [backup-simplify]: Simplify 0 into 0
6.180 * [backup-simplify]: Simplify 0 into 0
6.180 * [backup-simplify]: Simplify 0 into 0
6.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.183 * [backup-simplify]: Simplify (+ 0 0) into 0
6.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.189 * [taylor]: Taking taylor expansion of 0 in im
6.189 * [backup-simplify]: Simplify 0 into 0
6.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.191 * [backup-simplify]: Simplify 0 into 0
6.191 * [backup-simplify]: Simplify 0 into 0
6.191 * [backup-simplify]: Simplify 0 into 0
6.192 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.192 * * * * [progress]: [ 3 / 4 ] generating series at (2)
6.192 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
6.192 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.192 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.192 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.192 * [taylor]: Taking taylor expansion of re in im
6.192 * [backup-simplify]: Simplify re into re
6.193 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.193 * [taylor]: Taking taylor expansion of im in im
6.193 * [backup-simplify]: Simplify 0 into 0
6.193 * [backup-simplify]: Simplify 1 into 1
6.193 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.193 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.193 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.193 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.194 * [backup-simplify]: Simplify (+ 0 0) into 0
6.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.194 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.194 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.194 * [taylor]: Taking taylor expansion of re in re
6.194 * [backup-simplify]: Simplify 0 into 0
6.194 * [backup-simplify]: Simplify 1 into 1
6.194 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.194 * [taylor]: Taking taylor expansion of im in re
6.194 * [backup-simplify]: Simplify im into im
6.194 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.194 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.195 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.195 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.195 * [backup-simplify]: Simplify (+ 0 0) into 0
6.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.195 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.195 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.195 * [taylor]: Taking taylor expansion of re in re
6.195 * [backup-simplify]: Simplify 0 into 0
6.195 * [backup-simplify]: Simplify 1 into 1
6.196 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.196 * [taylor]: Taking taylor expansion of im in re
6.196 * [backup-simplify]: Simplify im into im
6.196 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.196 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.196 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.196 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.196 * [backup-simplify]: Simplify (+ 0 0) into 0
6.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.197 * [taylor]: Taking taylor expansion of im in im
6.197 * [backup-simplify]: Simplify 0 into 0
6.197 * [backup-simplify]: Simplify 1 into 1
6.197 * [backup-simplify]: Simplify 0 into 0
6.197 * [taylor]: Taking taylor expansion of 0 in im
6.197 * [backup-simplify]: Simplify 0 into 0
6.197 * [backup-simplify]: Simplify 0 into 0
6.197 * [backup-simplify]: Simplify 1 into 1
6.197 * [backup-simplify]: Simplify (* 1 1) into 1
6.198 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.198 * [backup-simplify]: Simplify (+ 1 0) into 1
6.199 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.199 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.199 * [taylor]: Taking taylor expansion of 1/2 in im
6.199 * [backup-simplify]: Simplify 1/2 into 1/2
6.199 * [taylor]: Taking taylor expansion of im in im
6.199 * [backup-simplify]: Simplify 0 into 0
6.199 * [backup-simplify]: Simplify 1 into 1
6.200 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.201 * [backup-simplify]: Simplify 0 into 0
6.201 * [backup-simplify]: Simplify 0 into 0
6.201 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.203 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.203 * [backup-simplify]: Simplify (+ 0 0) into 0
6.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.203 * [taylor]: Taking taylor expansion of 0 in im
6.203 * [backup-simplify]: Simplify 0 into 0
6.203 * [backup-simplify]: Simplify 0 into 0
6.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.204 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.205 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.205 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.206 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.206 * [taylor]: Taking taylor expansion of im in im
6.206 * [backup-simplify]: Simplify 0 into 0
6.206 * [backup-simplify]: Simplify 1 into 1
6.206 * [backup-simplify]: Simplify (* 1 1) into 1
6.206 * [backup-simplify]: Simplify (/ 1 1) into 1
6.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.206 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.206 * [taylor]: Taking taylor expansion of re in im
6.206 * [backup-simplify]: Simplify re into re
6.206 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.207 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.207 * [backup-simplify]: Simplify (+ 1 0) into 1
6.207 * [backup-simplify]: Simplify (sqrt 1) into 1
6.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.208 * [backup-simplify]: Simplify (+ 0 0) into 0
6.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.209 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.209 * [taylor]: Taking taylor expansion of im in re
6.209 * [backup-simplify]: Simplify im into im
6.209 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.209 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.209 * [taylor]: Taking taylor expansion of re in re
6.209 * [backup-simplify]: Simplify 0 into 0
6.209 * [backup-simplify]: Simplify 1 into 1
6.209 * [backup-simplify]: Simplify (* 1 1) into 1
6.209 * [backup-simplify]: Simplify (/ 1 1) into 1
6.210 * [backup-simplify]: Simplify (+ 0 1) into 1
6.210 * [backup-simplify]: Simplify (sqrt 1) into 1
6.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.211 * [backup-simplify]: Simplify (+ 0 0) into 0
6.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.212 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.212 * [taylor]: Taking taylor expansion of im in re
6.212 * [backup-simplify]: Simplify im into im
6.212 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.212 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.212 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.212 * [taylor]: Taking taylor expansion of re in re
6.212 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify 1 into 1
6.212 * [backup-simplify]: Simplify (* 1 1) into 1
6.212 * [backup-simplify]: Simplify (/ 1 1) into 1
6.213 * [backup-simplify]: Simplify (+ 0 1) into 1
6.213 * [backup-simplify]: Simplify (sqrt 1) into 1
6.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.214 * [backup-simplify]: Simplify (+ 0 0) into 0
6.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.215 * [taylor]: Taking taylor expansion of 1 in im
6.215 * [backup-simplify]: Simplify 1 into 1
6.215 * [taylor]: Taking taylor expansion of 0 in im
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify 1 into 1
6.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.216 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.217 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.217 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.217 * [taylor]: Taking taylor expansion of 1/2 in im
6.217 * [backup-simplify]: Simplify 1/2 into 1/2
6.217 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.217 * [taylor]: Taking taylor expansion of im in im
6.217 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify 1 into 1
6.217 * [backup-simplify]: Simplify (* 1 1) into 1
6.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.218 * [backup-simplify]: Simplify 0 into 0
6.218 * [backup-simplify]: Simplify 0 into 0
6.218 * [backup-simplify]: Simplify 0 into 0
6.219 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.220 * [backup-simplify]: Simplify (+ 0 0) into 0
6.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.221 * [taylor]: Taking taylor expansion of 0 in im
6.221 * [backup-simplify]: Simplify 0 into 0
6.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.222 * [backup-simplify]: Simplify 0 into 0
6.222 * [backup-simplify]: Simplify 0 into 0
6.222 * [backup-simplify]: Simplify 0 into 0
6.222 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.223 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.223 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.223 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.223 * [taylor]: Taking taylor expansion of im in im
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 1 into 1
6.223 * [backup-simplify]: Simplify (* 1 1) into 1
6.223 * [backup-simplify]: Simplify (/ 1 1) into 1
6.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.223 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.223 * [taylor]: Taking taylor expansion of re in im
6.223 * [backup-simplify]: Simplify re into re
6.223 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.224 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.224 * [backup-simplify]: Simplify (+ 1 0) into 1
6.224 * [backup-simplify]: Simplify (sqrt 1) into 1
6.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.225 * [backup-simplify]: Simplify (+ 0 0) into 0
6.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.226 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.226 * [taylor]: Taking taylor expansion of im in re
6.226 * [backup-simplify]: Simplify im into im
6.226 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.226 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.226 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.226 * [taylor]: Taking taylor expansion of re in re
6.226 * [backup-simplify]: Simplify 0 into 0
6.226 * [backup-simplify]: Simplify 1 into 1
6.226 * [backup-simplify]: Simplify (* 1 1) into 1
6.227 * [backup-simplify]: Simplify (/ 1 1) into 1
6.227 * [backup-simplify]: Simplify (+ 0 1) into 1
6.227 * [backup-simplify]: Simplify (sqrt 1) into 1
6.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.228 * [backup-simplify]: Simplify (+ 0 0) into 0
6.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.229 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.229 * [taylor]: Taking taylor expansion of im in re
6.229 * [backup-simplify]: Simplify im into im
6.229 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.229 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.229 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.229 * [taylor]: Taking taylor expansion of re in re
6.229 * [backup-simplify]: Simplify 0 into 0
6.229 * [backup-simplify]: Simplify 1 into 1
6.229 * [backup-simplify]: Simplify (* 1 1) into 1
6.230 * [backup-simplify]: Simplify (/ 1 1) into 1
6.230 * [backup-simplify]: Simplify (+ 0 1) into 1
6.230 * [backup-simplify]: Simplify (sqrt 1) into 1
6.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.231 * [backup-simplify]: Simplify (+ 0 0) into 0
6.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.232 * [taylor]: Taking taylor expansion of 1 in im
6.232 * [backup-simplify]: Simplify 1 into 1
6.232 * [taylor]: Taking taylor expansion of 0 in im
6.232 * [backup-simplify]: Simplify 0 into 0
6.232 * [backup-simplify]: Simplify 1 into 1
6.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.233 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.234 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.234 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.234 * [taylor]: Taking taylor expansion of 1/2 in im
6.234 * [backup-simplify]: Simplify 1/2 into 1/2
6.234 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.234 * [taylor]: Taking taylor expansion of im in im
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify 1 into 1
6.234 * [backup-simplify]: Simplify (* 1 1) into 1
6.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.236 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.237 * [backup-simplify]: Simplify (+ 0 0) into 0
6.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.238 * [taylor]: Taking taylor expansion of 0 in im
6.238 * [backup-simplify]: Simplify 0 into 0
6.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.239 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
6.239 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
6.239 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
6.239 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.239 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.239 * [taylor]: Taking taylor expansion of re in im
6.240 * [backup-simplify]: Simplify re into re
6.240 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.240 * [taylor]: Taking taylor expansion of im in im
6.240 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify 1 into 1
6.240 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.240 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.240 * [taylor]: Taking taylor expansion of re in re
6.240 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify 1 into 1
6.240 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.240 * [taylor]: Taking taylor expansion of im in re
6.240 * [backup-simplify]: Simplify im into im
6.240 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.240 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.240 * [taylor]: Taking taylor expansion of re in re
6.240 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify 1 into 1
6.240 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.240 * [taylor]: Taking taylor expansion of im in re
6.240 * [backup-simplify]: Simplify im into im
6.240 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.240 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.240 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.240 * [taylor]: Taking taylor expansion of im in im
6.240 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify 1 into 1
6.240 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.240 * [backup-simplify]: Simplify (+ 0 0) into 0
6.240 * [taylor]: Taking taylor expansion of 0 in im
6.240 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify 0 into 0
6.241 * [backup-simplify]: Simplify (* 1 1) into 1
6.241 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.241 * [backup-simplify]: Simplify (+ 1 0) into 1
6.241 * [taylor]: Taking taylor expansion of 1 in im
6.241 * [backup-simplify]: Simplify 1 into 1
6.241 * [backup-simplify]: Simplify 1 into 1
6.241 * [backup-simplify]: Simplify 0 into 0
6.242 * [backup-simplify]: Simplify (* 1 1) into 1
6.242 * [backup-simplify]: Simplify 1 into 1
6.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.243 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.243 * [backup-simplify]: Simplify (+ 0 0) into 0
6.243 * [taylor]: Taking taylor expansion of 0 in im
6.243 * [backup-simplify]: Simplify 0 into 0
6.243 * [backup-simplify]: Simplify 0 into 0
6.243 * [backup-simplify]: Simplify 0 into 0
6.243 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.244 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.245 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
6.245 * [backup-simplify]: Simplify (+ 0 0) into 0
6.245 * [taylor]: Taking taylor expansion of 0 in im
6.245 * [backup-simplify]: Simplify 0 into 0
6.245 * [backup-simplify]: Simplify 0 into 0
6.245 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
6.246 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
6.246 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
6.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.246 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.246 * [taylor]: Taking taylor expansion of im in im
6.246 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify 1 into 1
6.246 * [backup-simplify]: Simplify (* 1 1) into 1
6.246 * [backup-simplify]: Simplify (/ 1 1) into 1
6.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.246 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.246 * [taylor]: Taking taylor expansion of re in im
6.246 * [backup-simplify]: Simplify re into re
6.247 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.247 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.247 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.247 * [taylor]: Taking taylor expansion of im in re
6.247 * [backup-simplify]: Simplify im into im
6.247 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.247 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.247 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.247 * [taylor]: Taking taylor expansion of re in re
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify 1 into 1
6.247 * [backup-simplify]: Simplify (* 1 1) into 1
6.248 * [backup-simplify]: Simplify (/ 1 1) into 1
6.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.248 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.248 * [taylor]: Taking taylor expansion of im in re
6.248 * [backup-simplify]: Simplify im into im
6.248 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.248 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.248 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.248 * [taylor]: Taking taylor expansion of re in re
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify 1 into 1
6.248 * [backup-simplify]: Simplify (* 1 1) into 1
6.248 * [backup-simplify]: Simplify (/ 1 1) into 1
6.249 * [backup-simplify]: Simplify (+ 0 1) into 1
6.249 * [taylor]: Taking taylor expansion of 1 in im
6.249 * [backup-simplify]: Simplify 1 into 1
6.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.250 * [backup-simplify]: Simplify (+ 0 0) into 0
6.250 * [taylor]: Taking taylor expansion of 0 in im
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.251 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.251 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.251 * [taylor]: Taking taylor expansion of im in im
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 1 into 1
6.252 * [backup-simplify]: Simplify (* 1 1) into 1
6.252 * [backup-simplify]: Simplify (/ 1 1) into 1
6.252 * [backup-simplify]: Simplify 1 into 1
6.252 * [backup-simplify]: Simplify 1 into 1
6.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.254 * [backup-simplify]: Simplify (+ 0 0) into 0
6.254 * [taylor]: Taking taylor expansion of 0 in im
6.254 * [backup-simplify]: Simplify 0 into 0
6.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.255 * [backup-simplify]: Simplify 0 into 0
6.255 * [backup-simplify]: Simplify 0 into 0
6.255 * [backup-simplify]: Simplify 0 into 0
6.255 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
6.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.257 * [backup-simplify]: Simplify (+ 0 0) into 0
6.257 * [taylor]: Taking taylor expansion of 0 in im
6.257 * [backup-simplify]: Simplify 0 into 0
6.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.258 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
6.259 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
6.259 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
6.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.259 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.259 * [taylor]: Taking taylor expansion of im in im
6.259 * [backup-simplify]: Simplify 0 into 0
6.259 * [backup-simplify]: Simplify 1 into 1
6.259 * [backup-simplify]: Simplify (* 1 1) into 1
6.259 * [backup-simplify]: Simplify (/ 1 1) into 1
6.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.259 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.259 * [taylor]: Taking taylor expansion of re in im
6.259 * [backup-simplify]: Simplify re into re
6.259 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.260 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.260 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.260 * [taylor]: Taking taylor expansion of im in re
6.260 * [backup-simplify]: Simplify im into im
6.260 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.260 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.260 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.260 * [taylor]: Taking taylor expansion of re in re
6.260 * [backup-simplify]: Simplify 0 into 0
6.260 * [backup-simplify]: Simplify 1 into 1
6.260 * [backup-simplify]: Simplify (* 1 1) into 1
6.260 * [backup-simplify]: Simplify (/ 1 1) into 1
6.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.260 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.260 * [taylor]: Taking taylor expansion of im in re
6.260 * [backup-simplify]: Simplify im into im
6.261 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.261 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.261 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.261 * [taylor]: Taking taylor expansion of re in re
6.261 * [backup-simplify]: Simplify 0 into 0
6.261 * [backup-simplify]: Simplify 1 into 1
6.261 * [backup-simplify]: Simplify (* 1 1) into 1
6.261 * [backup-simplify]: Simplify (/ 1 1) into 1
6.262 * [backup-simplify]: Simplify (+ 0 1) into 1
6.262 * [taylor]: Taking taylor expansion of 1 in im
6.262 * [backup-simplify]: Simplify 1 into 1
6.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.263 * [backup-simplify]: Simplify (+ 0 0) into 0
6.263 * [taylor]: Taking taylor expansion of 0 in im
6.263 * [backup-simplify]: Simplify 0 into 0
6.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.264 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.264 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.264 * [taylor]: Taking taylor expansion of im in im
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [backup-simplify]: Simplify 1 into 1
6.264 * [backup-simplify]: Simplify (* 1 1) into 1
6.265 * [backup-simplify]: Simplify (/ 1 1) into 1
6.265 * [backup-simplify]: Simplify 1 into 1
6.265 * [backup-simplify]: Simplify 1 into 1
6.265 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.266 * [backup-simplify]: Simplify (+ 0 0) into 0
6.266 * [taylor]: Taking taylor expansion of 0 in im
6.266 * [backup-simplify]: Simplify 0 into 0
6.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.267 * [backup-simplify]: Simplify 0 into 0
6.267 * [backup-simplify]: Simplify 0 into 0
6.267 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
6.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.269 * [backup-simplify]: Simplify (+ 0 0) into 0
6.269 * [taylor]: Taking taylor expansion of 0 in im
6.270 * [backup-simplify]: Simplify 0 into 0
6.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.271 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
6.271 * * * [progress]: simplifying candidates
6.273 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (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)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
6.276 * * [simplify]: Extracting # 0 : cost  0
6.277 * * [simplify]: Extracting # 1 : cost  0
6.277 * * [simplify]: Extracting # 2 : cost  0
6.277 * * [simplify]: Extracting # 3 : cost  0
6.277 * * [simplify]: Extracting # 4 : cost  0
6.277 * * [simplify]: Extracting # 5 : cost  0
6.278 * * [simplify]: Extracting # 6 : cost  0
6.278 * * [simplify]: iteration  0 :  121  enodes  (cost  2803 )
11.719 * * [simplify]: Extracting # 0 : cost  0
11.735 * * [simplify]: Extracting # 1 : cost  0
11.747 * * [simplify]: Extracting # 2 : cost  0
11.754 * * [simplify]: Extracting # 3 : cost  0
11.760 * * [simplify]: Extracting # 4 : cost  0
11.767 * * [simplify]: Extracting # 5 : cost  0
11.773 * * [simplify]: Extracting # 6 : cost  0
11.780 * * [simplify]: Extracting # 7 : cost  0
11.787 * * [simplify]: iteration done:  5000  enodes  (cost  1781 )
11.788 * [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))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (- (+ (pow re (* 2 2)) (pow im (* 2 2))) (* (* re re) (* im im))))
  (sqrt (- (pow re (* 2 2)) (pow im (* 2 2))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (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))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (- (+ (pow re (* 2 2)) (pow im (* 2 2))) (* (* re re) (* im im))))
  (sqrt (- (pow re (* 2 2)) (pow im (* 2 2))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (* 2 1/2)
  (+ 1/2 (/ 1 2))
  2
  (* 2 (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  1
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (/ 1 2)
  (+ (* re re) (* im im))
  (sqrt (+ (* re re) (* im im)))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ (* re re) (* im im))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  2
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* 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))) (+ (* re re) (* im im)))
  (+ (* re re) (* im im))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (- (+ (pow re (* 2 2)) (pow im (* 2 2))) (* (* re re) (* im im))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (pow re (* 2 2)) (pow im (* 2 2))))))
  (* (sqrt (sqrt (- (+ (pow re (* 2 2)) (pow im (* 2 2))) (* (* re re) (* im im))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (pow re (* 2 2)) (pow im (* 2 2))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (+ (pow re (* 2 2)) (pow im (* 2 2))) (* (* re re) (* im im))))))
  (sqrt (- (pow re (* 2 2)) (pow im (* 2 2))))
  (sqrt (- (* re re) (* im im)))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (* 2 1/2)
  2
  (* 2 (/ 1/2 2))
  1
  (/ 1 2)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow re 2) (pow im 2)))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow re 2) (pow im 2)))) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (sqrt (+ (pow re 2) (pow im 2))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (pow re 2) (pow im 2)))) (sqrt (sqrt (- (pow re (* 2 2)) (pow im (* 2 2))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (pow re (* 2 2)) (pow im (* 2 2))))) (sqrt (sqrt (+ (pow re 2) (pow im 2)))))
  (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)))
  (* (* (+ (* 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))
  (- (+ (pow re (* 2 2)) (pow im (* 2 2))) (* (* re re) (* im im)))
  (- (pow re (* 2 2)) (pow im (* 2 2)))
  (- (* re re) (* im im))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
11.789 * * * [progress]: adding candidates to table
12.253 * * [progress]: iteration 3 / 4
12.253 * * * [progress]: picking best candidate
12.269 * * * * [pick]: Picked  #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))>
12.269 * * * [progress]: localizing error
12.318 * * * [progress]: generating rewritten candidates
12.318 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
12.326 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
12.335 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1)
12.343 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1)
12.353 * * * [progress]: generating series expansions
12.353 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
12.353 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
12.353 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
12.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
12.353 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
12.353 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.353 * [taylor]: Taking taylor expansion of re in im
12.353 * [backup-simplify]: Simplify re into re
12.353 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.353 * [taylor]: Taking taylor expansion of im in im
12.353 * [backup-simplify]: Simplify 0 into 0
12.353 * [backup-simplify]: Simplify 1 into 1
12.353 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.353 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.354 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.354 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.354 * [backup-simplify]: Simplify (+ 0 0) into 0
12.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.354 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.354 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.354 * [taylor]: Taking taylor expansion of re in re
12.354 * [backup-simplify]: Simplify 0 into 0
12.354 * [backup-simplify]: Simplify 1 into 1
12.354 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.354 * [taylor]: Taking taylor expansion of im in re
12.354 * [backup-simplify]: Simplify im into im
12.355 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.355 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.355 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.355 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.355 * [backup-simplify]: Simplify (+ 0 0) into 0
12.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.355 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.355 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.355 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.355 * [taylor]: Taking taylor expansion of re in re
12.355 * [backup-simplify]: Simplify 0 into 0
12.355 * [backup-simplify]: Simplify 1 into 1
12.355 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.355 * [taylor]: Taking taylor expansion of im in re
12.355 * [backup-simplify]: Simplify im into im
12.355 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.356 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.356 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.356 * [backup-simplify]: Simplify (+ 0 0) into 0
12.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.356 * [taylor]: Taking taylor expansion of im in im
12.356 * [backup-simplify]: Simplify 0 into 0
12.356 * [backup-simplify]: Simplify 1 into 1
12.356 * [backup-simplify]: Simplify 0 into 0
12.356 * [taylor]: Taking taylor expansion of 0 in im
12.356 * [backup-simplify]: Simplify 0 into 0
12.356 * [backup-simplify]: Simplify 0 into 0
12.356 * [backup-simplify]: Simplify 1 into 1
12.357 * [backup-simplify]: Simplify (* 1 1) into 1
12.357 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.357 * [backup-simplify]: Simplify (+ 1 0) into 1
12.358 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.358 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
12.358 * [taylor]: Taking taylor expansion of 1/2 in im
12.358 * [backup-simplify]: Simplify 1/2 into 1/2
12.358 * [taylor]: Taking taylor expansion of im in im
12.358 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify 1 into 1
12.358 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.359 * [backup-simplify]: Simplify 0 into 0
12.359 * [backup-simplify]: Simplify 0 into 0
12.359 * [backup-simplify]: Simplify 0 into 0
12.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.361 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.361 * [backup-simplify]: Simplify (+ 0 0) into 0
12.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.361 * [taylor]: Taking taylor expansion of 0 in im
12.361 * [backup-simplify]: Simplify 0 into 0
12.361 * [backup-simplify]: Simplify 0 into 0
12.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.362 * [backup-simplify]: Simplify 0 into 0
12.362 * [backup-simplify]: Simplify 0 into 0
12.362 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
12.363 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.363 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.363 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.363 * [taylor]: Taking taylor expansion of im in im
12.363 * [backup-simplify]: Simplify 0 into 0
12.363 * [backup-simplify]: Simplify 1 into 1
12.363 * [backup-simplify]: Simplify (* 1 1) into 1
12.363 * [backup-simplify]: Simplify (/ 1 1) into 1
12.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.364 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.364 * [taylor]: Taking taylor expansion of re in im
12.364 * [backup-simplify]: Simplify re into re
12.364 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.364 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.364 * [backup-simplify]: Simplify (+ 1 0) into 1
12.365 * [backup-simplify]: Simplify (sqrt 1) into 1
12.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.366 * [backup-simplify]: Simplify (+ 0 0) into 0
12.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.367 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.367 * [taylor]: Taking taylor expansion of im in re
12.367 * [backup-simplify]: Simplify im into im
12.367 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.368 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.368 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.368 * [taylor]: Taking taylor expansion of re in re
12.368 * [backup-simplify]: Simplify 0 into 0
12.368 * [backup-simplify]: Simplify 1 into 1
12.368 * [backup-simplify]: Simplify (* 1 1) into 1
12.369 * [backup-simplify]: Simplify (/ 1 1) into 1
12.369 * [backup-simplify]: Simplify (+ 0 1) into 1
12.369 * [backup-simplify]: Simplify (sqrt 1) into 1
12.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.380 * [backup-simplify]: Simplify (+ 0 0) into 0
12.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.382 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.382 * [taylor]: Taking taylor expansion of im in re
12.382 * [backup-simplify]: Simplify im into im
12.382 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.382 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.382 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.382 * [taylor]: Taking taylor expansion of re in re
12.382 * [backup-simplify]: Simplify 0 into 0
12.382 * [backup-simplify]: Simplify 1 into 1
12.383 * [backup-simplify]: Simplify (* 1 1) into 1
12.383 * [backup-simplify]: Simplify (/ 1 1) into 1
12.384 * [backup-simplify]: Simplify (+ 0 1) into 1
12.384 * [backup-simplify]: Simplify (sqrt 1) into 1
12.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.386 * [backup-simplify]: Simplify (+ 0 0) into 0
12.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.387 * [taylor]: Taking taylor expansion of 1 in im
12.387 * [backup-simplify]: Simplify 1 into 1
12.387 * [taylor]: Taking taylor expansion of 0 in im
12.387 * [backup-simplify]: Simplify 0 into 0
12.388 * [backup-simplify]: Simplify 1 into 1
12.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.390 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.392 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.392 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.392 * [taylor]: Taking taylor expansion of 1/2 in im
12.392 * [backup-simplify]: Simplify 1/2 into 1/2
12.392 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.392 * [taylor]: Taking taylor expansion of im in im
12.392 * [backup-simplify]: Simplify 0 into 0
12.392 * [backup-simplify]: Simplify 1 into 1
12.393 * [backup-simplify]: Simplify (* 1 1) into 1
12.393 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.395 * [backup-simplify]: Simplify 0 into 0
12.395 * [backup-simplify]: Simplify 0 into 0
12.395 * [backup-simplify]: Simplify 0 into 0
12.395 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.398 * [backup-simplify]: Simplify (+ 0 0) into 0
12.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.399 * [taylor]: Taking taylor expansion of 0 in im
12.399 * [backup-simplify]: Simplify 0 into 0
12.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.401 * [backup-simplify]: Simplify 0 into 0
12.401 * [backup-simplify]: Simplify 0 into 0
12.401 * [backup-simplify]: Simplify 0 into 0
12.401 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
12.402 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.402 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.402 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.402 * [taylor]: Taking taylor expansion of im in im
12.402 * [backup-simplify]: Simplify 0 into 0
12.402 * [backup-simplify]: Simplify 1 into 1
12.403 * [backup-simplify]: Simplify (* 1 1) into 1
12.403 * [backup-simplify]: Simplify (/ 1 1) into 1
12.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.403 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.403 * [taylor]: Taking taylor expansion of re in im
12.403 * [backup-simplify]: Simplify re into re
12.403 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.403 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.404 * [backup-simplify]: Simplify (+ 1 0) into 1
12.404 * [backup-simplify]: Simplify (sqrt 1) into 1
12.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.406 * [backup-simplify]: Simplify (+ 0 0) into 0
12.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.407 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.407 * [taylor]: Taking taylor expansion of im in re
12.407 * [backup-simplify]: Simplify im into im
12.407 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.407 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.407 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.407 * [taylor]: Taking taylor expansion of re in re
12.407 * [backup-simplify]: Simplify 0 into 0
12.408 * [backup-simplify]: Simplify 1 into 1
12.408 * [backup-simplify]: Simplify (* 1 1) into 1
12.408 * [backup-simplify]: Simplify (/ 1 1) into 1
12.409 * [backup-simplify]: Simplify (+ 0 1) into 1
12.409 * [backup-simplify]: Simplify (sqrt 1) into 1
12.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.411 * [backup-simplify]: Simplify (+ 0 0) into 0
12.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.412 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.412 * [taylor]: Taking taylor expansion of im in re
12.412 * [backup-simplify]: Simplify im into im
12.412 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.412 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.412 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.412 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.412 * [taylor]: Taking taylor expansion of re in re
12.412 * [backup-simplify]: Simplify 0 into 0
12.412 * [backup-simplify]: Simplify 1 into 1
12.413 * [backup-simplify]: Simplify (* 1 1) into 1
12.413 * [backup-simplify]: Simplify (/ 1 1) into 1
12.414 * [backup-simplify]: Simplify (+ 0 1) into 1
12.414 * [backup-simplify]: Simplify (sqrt 1) into 1
12.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.416 * [backup-simplify]: Simplify (+ 0 0) into 0
12.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.417 * [taylor]: Taking taylor expansion of 1 in im
12.417 * [backup-simplify]: Simplify 1 into 1
12.417 * [taylor]: Taking taylor expansion of 0 in im
12.417 * [backup-simplify]: Simplify 0 into 0
12.417 * [backup-simplify]: Simplify 1 into 1
12.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.419 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.420 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.420 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.420 * [taylor]: Taking taylor expansion of 1/2 in im
12.420 * [backup-simplify]: Simplify 1/2 into 1/2
12.420 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.420 * [taylor]: Taking taylor expansion of im in im
12.420 * [backup-simplify]: Simplify 0 into 0
12.420 * [backup-simplify]: Simplify 1 into 1
12.421 * [backup-simplify]: Simplify (* 1 1) into 1
12.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.423 * [backup-simplify]: Simplify 0 into 0
12.423 * [backup-simplify]: Simplify 0 into 0
12.423 * [backup-simplify]: Simplify 0 into 0
12.423 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.425 * [backup-simplify]: Simplify (+ 0 0) into 0
12.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.426 * [taylor]: Taking taylor expansion of 0 in im
12.426 * [backup-simplify]: Simplify 0 into 0
12.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.428 * [backup-simplify]: Simplify 0 into 0
12.428 * [backup-simplify]: Simplify 0 into 0
12.428 * [backup-simplify]: Simplify 0 into 0
12.428 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
12.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
12.429 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
12.429 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
12.429 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
12.429 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
12.429 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.429 * [taylor]: Taking taylor expansion of re in im
12.429 * [backup-simplify]: Simplify re into re
12.429 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.429 * [taylor]: Taking taylor expansion of im in im
12.429 * [backup-simplify]: Simplify 0 into 0
12.429 * [backup-simplify]: Simplify 1 into 1
12.429 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.429 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.430 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.430 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.430 * [backup-simplify]: Simplify (+ 0 0) into 0
12.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.430 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.430 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.430 * [taylor]: Taking taylor expansion of re in re
12.430 * [backup-simplify]: Simplify 0 into 0
12.430 * [backup-simplify]: Simplify 1 into 1
12.430 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.430 * [taylor]: Taking taylor expansion of im in re
12.430 * [backup-simplify]: Simplify im into im
12.430 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.431 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.431 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.431 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.431 * [backup-simplify]: Simplify (+ 0 0) into 0
12.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.431 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.431 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.431 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.431 * [taylor]: Taking taylor expansion of re in re
12.431 * [backup-simplify]: Simplify 0 into 0
12.431 * [backup-simplify]: Simplify 1 into 1
12.431 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.431 * [taylor]: Taking taylor expansion of im in re
12.431 * [backup-simplify]: Simplify im into im
12.431 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.431 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.431 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.431 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.432 * [backup-simplify]: Simplify (+ 0 0) into 0
12.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.432 * [taylor]: Taking taylor expansion of im in im
12.432 * [backup-simplify]: Simplify 0 into 0
12.432 * [backup-simplify]: Simplify 1 into 1
12.432 * [backup-simplify]: Simplify 0 into 0
12.432 * [taylor]: Taking taylor expansion of 0 in im
12.432 * [backup-simplify]: Simplify 0 into 0
12.432 * [backup-simplify]: Simplify 0 into 0
12.432 * [backup-simplify]: Simplify 1 into 1
12.432 * [backup-simplify]: Simplify (* 1 1) into 1
12.433 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.433 * [backup-simplify]: Simplify (+ 1 0) into 1
12.433 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.433 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
12.433 * [taylor]: Taking taylor expansion of 1/2 in im
12.434 * [backup-simplify]: Simplify 1/2 into 1/2
12.434 * [taylor]: Taking taylor expansion of im in im
12.434 * [backup-simplify]: Simplify 0 into 0
12.434 * [backup-simplify]: Simplify 1 into 1
12.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.434 * [backup-simplify]: Simplify 0 into 0
12.434 * [backup-simplify]: Simplify 0 into 0
12.434 * [backup-simplify]: Simplify 0 into 0
12.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.435 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.436 * [backup-simplify]: Simplify (+ 0 0) into 0
12.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.436 * [taylor]: Taking taylor expansion of 0 in im
12.436 * [backup-simplify]: Simplify 0 into 0
12.436 * [backup-simplify]: Simplify 0 into 0
12.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.436 * [backup-simplify]: Simplify 0 into 0
12.437 * [backup-simplify]: Simplify 0 into 0
12.437 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
12.437 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.437 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.437 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.437 * [taylor]: Taking taylor expansion of im in im
12.437 * [backup-simplify]: Simplify 0 into 0
12.437 * [backup-simplify]: Simplify 1 into 1
12.437 * [backup-simplify]: Simplify (* 1 1) into 1
12.437 * [backup-simplify]: Simplify (/ 1 1) into 1
12.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.437 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.437 * [taylor]: Taking taylor expansion of re in im
12.438 * [backup-simplify]: Simplify re into re
12.438 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.438 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.438 * [backup-simplify]: Simplify (+ 1 0) into 1
12.438 * [backup-simplify]: Simplify (sqrt 1) into 1
12.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.439 * [backup-simplify]: Simplify (+ 0 0) into 0
12.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.440 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.440 * [taylor]: Taking taylor expansion of im in re
12.440 * [backup-simplify]: Simplify im into im
12.440 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.440 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.440 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.440 * [taylor]: Taking taylor expansion of re in re
12.440 * [backup-simplify]: Simplify 0 into 0
12.440 * [backup-simplify]: Simplify 1 into 1
12.440 * [backup-simplify]: Simplify (* 1 1) into 1
12.441 * [backup-simplify]: Simplify (/ 1 1) into 1
12.441 * [backup-simplify]: Simplify (+ 0 1) into 1
12.441 * [backup-simplify]: Simplify (sqrt 1) into 1
12.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.443 * [backup-simplify]: Simplify (+ 0 0) into 0
12.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.443 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.443 * [taylor]: Taking taylor expansion of im in re
12.443 * [backup-simplify]: Simplify im into im
12.443 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.443 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.443 * [taylor]: Taking taylor expansion of re in re
12.443 * [backup-simplify]: Simplify 0 into 0
12.443 * [backup-simplify]: Simplify 1 into 1
12.444 * [backup-simplify]: Simplify (* 1 1) into 1
12.444 * [backup-simplify]: Simplify (/ 1 1) into 1
12.444 * [backup-simplify]: Simplify (+ 0 1) into 1
12.444 * [backup-simplify]: Simplify (sqrt 1) into 1
12.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.445 * [backup-simplify]: Simplify (+ 0 0) into 0
12.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.446 * [taylor]: Taking taylor expansion of 1 in im
12.446 * [backup-simplify]: Simplify 1 into 1
12.446 * [taylor]: Taking taylor expansion of 0 in im
12.446 * [backup-simplify]: Simplify 0 into 0
12.446 * [backup-simplify]: Simplify 1 into 1
12.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.447 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.448 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.448 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.448 * [taylor]: Taking taylor expansion of 1/2 in im
12.448 * [backup-simplify]: Simplify 1/2 into 1/2
12.448 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.448 * [taylor]: Taking taylor expansion of im in im
12.448 * [backup-simplify]: Simplify 0 into 0
12.448 * [backup-simplify]: Simplify 1 into 1
12.449 * [backup-simplify]: Simplify (* 1 1) into 1
12.449 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.450 * [backup-simplify]: Simplify 0 into 0
12.450 * [backup-simplify]: Simplify 0 into 0
12.450 * [backup-simplify]: Simplify 0 into 0
12.450 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.452 * [backup-simplify]: Simplify (+ 0 0) into 0
12.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.452 * [taylor]: Taking taylor expansion of 0 in im
12.452 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
12.454 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.454 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.454 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.454 * [taylor]: Taking taylor expansion of im in im
12.454 * [backup-simplify]: Simplify 0 into 0
12.454 * [backup-simplify]: Simplify 1 into 1
12.454 * [backup-simplify]: Simplify (* 1 1) into 1
12.454 * [backup-simplify]: Simplify (/ 1 1) into 1
12.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.454 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.454 * [taylor]: Taking taylor expansion of re in im
12.454 * [backup-simplify]: Simplify re into re
12.454 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.454 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.455 * [backup-simplify]: Simplify (+ 1 0) into 1
12.455 * [backup-simplify]: Simplify (sqrt 1) into 1
12.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.456 * [backup-simplify]: Simplify (+ 0 0) into 0
12.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.457 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.457 * [taylor]: Taking taylor expansion of im in re
12.457 * [backup-simplify]: Simplify im into im
12.457 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.457 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.457 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.457 * [taylor]: Taking taylor expansion of re in re
12.457 * [backup-simplify]: Simplify 0 into 0
12.457 * [backup-simplify]: Simplify 1 into 1
12.457 * [backup-simplify]: Simplify (* 1 1) into 1
12.458 * [backup-simplify]: Simplify (/ 1 1) into 1
12.458 * [backup-simplify]: Simplify (+ 0 1) into 1
12.458 * [backup-simplify]: Simplify (sqrt 1) into 1
12.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.459 * [backup-simplify]: Simplify (+ 0 0) into 0
12.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.460 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.460 * [taylor]: Taking taylor expansion of im in re
12.460 * [backup-simplify]: Simplify im into im
12.460 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.460 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.460 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.460 * [taylor]: Taking taylor expansion of re in re
12.460 * [backup-simplify]: Simplify 0 into 0
12.460 * [backup-simplify]: Simplify 1 into 1
12.460 * [backup-simplify]: Simplify (* 1 1) into 1
12.461 * [backup-simplify]: Simplify (/ 1 1) into 1
12.461 * [backup-simplify]: Simplify (+ 0 1) into 1
12.461 * [backup-simplify]: Simplify (sqrt 1) into 1
12.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.462 * [backup-simplify]: Simplify (+ 0 0) into 0
12.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.463 * [taylor]: Taking taylor expansion of 1 in im
12.463 * [backup-simplify]: Simplify 1 into 1
12.463 * [taylor]: Taking taylor expansion of 0 in im
12.463 * [backup-simplify]: Simplify 0 into 0
12.463 * [backup-simplify]: Simplify 1 into 1
12.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.464 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.465 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.465 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.465 * [taylor]: Taking taylor expansion of 1/2 in im
12.465 * [backup-simplify]: Simplify 1/2 into 1/2
12.465 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.465 * [taylor]: Taking taylor expansion of im in im
12.465 * [backup-simplify]: Simplify 0 into 0
12.465 * [backup-simplify]: Simplify 1 into 1
12.465 * [backup-simplify]: Simplify (* 1 1) into 1
12.466 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.467 * [backup-simplify]: Simplify 0 into 0
12.467 * [backup-simplify]: Simplify 0 into 0
12.467 * [backup-simplify]: Simplify 0 into 0
12.467 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.468 * [backup-simplify]: Simplify (+ 0 0) into 0
12.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.469 * [taylor]: Taking taylor expansion of 0 in im
12.469 * [backup-simplify]: Simplify 0 into 0
12.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
12.470 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1)
12.470 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
12.470 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
12.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
12.470 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
12.470 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.470 * [taylor]: Taking taylor expansion of re in im
12.470 * [backup-simplify]: Simplify re into re
12.470 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.470 * [taylor]: Taking taylor expansion of im in im
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify 1 into 1
12.471 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.471 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.471 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.471 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.471 * [backup-simplify]: Simplify (+ 0 0) into 0
12.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.471 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.471 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.471 * [taylor]: Taking taylor expansion of re in re
12.471 * [backup-simplify]: Simplify 0 into 0
12.471 * [backup-simplify]: Simplify 1 into 1
12.471 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.471 * [taylor]: Taking taylor expansion of im in re
12.471 * [backup-simplify]: Simplify im into im
12.471 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.471 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.472 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.472 * [backup-simplify]: Simplify (+ 0 0) into 0
12.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.472 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.472 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.472 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.472 * [taylor]: Taking taylor expansion of re in re
12.472 * [backup-simplify]: Simplify 0 into 0
12.472 * [backup-simplify]: Simplify 1 into 1
12.472 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.472 * [taylor]: Taking taylor expansion of im in re
12.472 * [backup-simplify]: Simplify im into im
12.472 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.472 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.472 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.473 * [backup-simplify]: Simplify (+ 0 0) into 0
12.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.473 * [taylor]: Taking taylor expansion of im in im
12.473 * [backup-simplify]: Simplify 0 into 0
12.473 * [backup-simplify]: Simplify 1 into 1
12.473 * [backup-simplify]: Simplify 0 into 0
12.473 * [taylor]: Taking taylor expansion of 0 in im
12.473 * [backup-simplify]: Simplify 0 into 0
12.473 * [backup-simplify]: Simplify 0 into 0
12.473 * [backup-simplify]: Simplify 1 into 1
12.473 * [backup-simplify]: Simplify (* 1 1) into 1
12.474 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.474 * [backup-simplify]: Simplify (+ 1 0) into 1
12.474 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.474 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
12.474 * [taylor]: Taking taylor expansion of 1/2 in im
12.474 * [backup-simplify]: Simplify 1/2 into 1/2
12.474 * [taylor]: Taking taylor expansion of im in im
12.474 * [backup-simplify]: Simplify 0 into 0
12.474 * [backup-simplify]: Simplify 1 into 1
12.475 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.475 * [backup-simplify]: Simplify 0 into 0
12.475 * [backup-simplify]: Simplify 0 into 0
12.475 * [backup-simplify]: Simplify 0 into 0
12.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.476 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.477 * [backup-simplify]: Simplify (+ 0 0) into 0
12.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.477 * [taylor]: Taking taylor expansion of 0 in im
12.477 * [backup-simplify]: Simplify 0 into 0
12.477 * [backup-simplify]: Simplify 0 into 0
12.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.477 * [backup-simplify]: Simplify 0 into 0
12.477 * [backup-simplify]: Simplify 0 into 0
12.477 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
12.478 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.478 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.478 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.478 * [taylor]: Taking taylor expansion of im in im
12.478 * [backup-simplify]: Simplify 0 into 0
12.478 * [backup-simplify]: Simplify 1 into 1
12.478 * [backup-simplify]: Simplify (* 1 1) into 1
12.478 * [backup-simplify]: Simplify (/ 1 1) into 1
12.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.478 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.478 * [taylor]: Taking taylor expansion of re in im
12.478 * [backup-simplify]: Simplify re into re
12.478 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.479 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.479 * [backup-simplify]: Simplify (+ 1 0) into 1
12.479 * [backup-simplify]: Simplify (sqrt 1) into 1
12.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.480 * [backup-simplify]: Simplify (+ 0 0) into 0
12.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.481 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.481 * [taylor]: Taking taylor expansion of im in re
12.481 * [backup-simplify]: Simplify im into im
12.481 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.481 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.481 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.481 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.481 * [taylor]: Taking taylor expansion of re in re
12.481 * [backup-simplify]: Simplify 0 into 0
12.481 * [backup-simplify]: Simplify 1 into 1
12.481 * [backup-simplify]: Simplify (* 1 1) into 1
12.482 * [backup-simplify]: Simplify (/ 1 1) into 1
12.482 * [backup-simplify]: Simplify (+ 0 1) into 1
12.482 * [backup-simplify]: Simplify (sqrt 1) into 1
12.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.483 * [backup-simplify]: Simplify (+ 0 0) into 0
12.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.484 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.484 * [taylor]: Taking taylor expansion of im in re
12.484 * [backup-simplify]: Simplify im into im
12.484 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.484 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.484 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.484 * [taylor]: Taking taylor expansion of re in re
12.484 * [backup-simplify]: Simplify 0 into 0
12.484 * [backup-simplify]: Simplify 1 into 1
12.484 * [backup-simplify]: Simplify (* 1 1) into 1
12.485 * [backup-simplify]: Simplify (/ 1 1) into 1
12.485 * [backup-simplify]: Simplify (+ 0 1) into 1
12.485 * [backup-simplify]: Simplify (sqrt 1) into 1
12.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.486 * [backup-simplify]: Simplify (+ 0 0) into 0
12.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.487 * [taylor]: Taking taylor expansion of 1 in im
12.487 * [backup-simplify]: Simplify 1 into 1
12.487 * [taylor]: Taking taylor expansion of 0 in im
12.487 * [backup-simplify]: Simplify 0 into 0
12.488 * [backup-simplify]: Simplify 1 into 1
12.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.490 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.491 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.491 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.491 * [taylor]: Taking taylor expansion of 1/2 in im
12.491 * [backup-simplify]: Simplify 1/2 into 1/2
12.491 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.491 * [taylor]: Taking taylor expansion of im in im
12.492 * [backup-simplify]: Simplify 0 into 0
12.492 * [backup-simplify]: Simplify 1 into 1
12.492 * [backup-simplify]: Simplify (* 1 1) into 1
12.493 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.494 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.497 * [backup-simplify]: Simplify (+ 0 0) into 0
12.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.498 * [taylor]: Taking taylor expansion of 0 in im
12.498 * [backup-simplify]: Simplify 0 into 0
12.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.500 * [backup-simplify]: Simplify 0 into 0
12.500 * [backup-simplify]: Simplify 0 into 0
12.500 * [backup-simplify]: Simplify 0 into 0
12.500 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
12.501 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.501 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.501 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.501 * [taylor]: Taking taylor expansion of im in im
12.501 * [backup-simplify]: Simplify 0 into 0
12.501 * [backup-simplify]: Simplify 1 into 1
12.501 * [backup-simplify]: Simplify (* 1 1) into 1
12.502 * [backup-simplify]: Simplify (/ 1 1) into 1
12.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.502 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.502 * [taylor]: Taking taylor expansion of re in im
12.502 * [backup-simplify]: Simplify re into re
12.502 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.502 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.503 * [backup-simplify]: Simplify (+ 1 0) into 1
12.503 * [backup-simplify]: Simplify (sqrt 1) into 1
12.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.505 * [backup-simplify]: Simplify (+ 0 0) into 0
12.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.510 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.510 * [taylor]: Taking taylor expansion of im in re
12.510 * [backup-simplify]: Simplify im into im
12.510 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.510 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.510 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.510 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.510 * [taylor]: Taking taylor expansion of re in re
12.510 * [backup-simplify]: Simplify 0 into 0
12.511 * [backup-simplify]: Simplify 1 into 1
12.511 * [backup-simplify]: Simplify (* 1 1) into 1
12.512 * [backup-simplify]: Simplify (/ 1 1) into 1
12.512 * [backup-simplify]: Simplify (+ 0 1) into 1
12.513 * [backup-simplify]: Simplify (sqrt 1) into 1
12.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.514 * [backup-simplify]: Simplify (+ 0 0) into 0
12.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.515 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.515 * [taylor]: Taking taylor expansion of im in re
12.515 * [backup-simplify]: Simplify im into im
12.515 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.516 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.516 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.516 * [taylor]: Taking taylor expansion of re in re
12.516 * [backup-simplify]: Simplify 0 into 0
12.516 * [backup-simplify]: Simplify 1 into 1
12.516 * [backup-simplify]: Simplify (* 1 1) into 1
12.516 * [backup-simplify]: Simplify (/ 1 1) into 1
12.517 * [backup-simplify]: Simplify (+ 0 1) into 1
12.517 * [backup-simplify]: Simplify (sqrt 1) into 1
12.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.519 * [backup-simplify]: Simplify (+ 0 0) into 0
12.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.520 * [taylor]: Taking taylor expansion of 1 in im
12.520 * [backup-simplify]: Simplify 1 into 1
12.520 * [taylor]: Taking taylor expansion of 0 in im
12.520 * [backup-simplify]: Simplify 0 into 0
12.520 * [backup-simplify]: Simplify 1 into 1
12.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.522 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.524 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.524 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.524 * [taylor]: Taking taylor expansion of 1/2 in im
12.524 * [backup-simplify]: Simplify 1/2 into 1/2
12.524 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.524 * [taylor]: Taking taylor expansion of im in im
12.524 * [backup-simplify]: Simplify 0 into 0
12.524 * [backup-simplify]: Simplify 1 into 1
12.524 * [backup-simplify]: Simplify (* 1 1) into 1
12.525 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.526 * [backup-simplify]: Simplify 0 into 0
12.526 * [backup-simplify]: Simplify 0 into 0
12.526 * [backup-simplify]: Simplify 0 into 0
12.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.529 * [backup-simplify]: Simplify (+ 0 0) into 0
12.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.530 * [taylor]: Taking taylor expansion of 0 in im
12.530 * [backup-simplify]: Simplify 0 into 0
12.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.532 * [backup-simplify]: Simplify 0 into 0
12.532 * [backup-simplify]: Simplify 0 into 0
12.532 * [backup-simplify]: Simplify 0 into 0
12.532 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
12.532 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1)
12.532 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
12.532 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
12.533 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
12.533 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
12.533 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.533 * [taylor]: Taking taylor expansion of re in im
12.533 * [backup-simplify]: Simplify re into re
12.533 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.533 * [taylor]: Taking taylor expansion of im in im
12.533 * [backup-simplify]: Simplify 0 into 0
12.533 * [backup-simplify]: Simplify 1 into 1
12.533 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.533 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.533 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.533 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.534 * [backup-simplify]: Simplify (+ 0 0) into 0
12.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.534 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.534 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.534 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.534 * [taylor]: Taking taylor expansion of re in re
12.534 * [backup-simplify]: Simplify 0 into 0
12.534 * [backup-simplify]: Simplify 1 into 1
12.534 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.534 * [taylor]: Taking taylor expansion of im in re
12.534 * [backup-simplify]: Simplify im into im
12.534 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.534 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.534 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.535 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.535 * [backup-simplify]: Simplify (+ 0 0) into 0
12.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.535 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.535 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.535 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.535 * [taylor]: Taking taylor expansion of re in re
12.535 * [backup-simplify]: Simplify 0 into 0
12.535 * [backup-simplify]: Simplify 1 into 1
12.535 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.535 * [taylor]: Taking taylor expansion of im in re
12.535 * [backup-simplify]: Simplify im into im
12.535 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.536 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.536 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.536 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.536 * [backup-simplify]: Simplify (+ 0 0) into 0
12.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.537 * [taylor]: Taking taylor expansion of im in im
12.537 * [backup-simplify]: Simplify 0 into 0
12.537 * [backup-simplify]: Simplify 1 into 1
12.537 * [backup-simplify]: Simplify 0 into 0
12.537 * [taylor]: Taking taylor expansion of 0 in im
12.537 * [backup-simplify]: Simplify 0 into 0
12.537 * [backup-simplify]: Simplify 0 into 0
12.537 * [backup-simplify]: Simplify 1 into 1
12.537 * [backup-simplify]: Simplify (* 1 1) into 1
12.538 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.538 * [backup-simplify]: Simplify (+ 1 0) into 1
12.539 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.539 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
12.539 * [taylor]: Taking taylor expansion of 1/2 in im
12.539 * [backup-simplify]: Simplify 1/2 into 1/2
12.539 * [taylor]: Taking taylor expansion of im in im
12.539 * [backup-simplify]: Simplify 0 into 0
12.539 * [backup-simplify]: Simplify 1 into 1
12.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.540 * [backup-simplify]: Simplify 0 into 0
12.540 * [backup-simplify]: Simplify 0 into 0
12.540 * [backup-simplify]: Simplify 0 into 0
12.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.542 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.543 * [backup-simplify]: Simplify (+ 0 0) into 0
12.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.543 * [taylor]: Taking taylor expansion of 0 in im
12.543 * [backup-simplify]: Simplify 0 into 0
12.543 * [backup-simplify]: Simplify 0 into 0
12.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.544 * [backup-simplify]: Simplify 0 into 0
12.544 * [backup-simplify]: Simplify 0 into 0
12.544 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
12.545 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.545 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.545 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.545 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.545 * [taylor]: Taking taylor expansion of im in im
12.545 * [backup-simplify]: Simplify 0 into 0
12.545 * [backup-simplify]: Simplify 1 into 1
12.545 * [backup-simplify]: Simplify (* 1 1) into 1
12.546 * [backup-simplify]: Simplify (/ 1 1) into 1
12.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.546 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.546 * [taylor]: Taking taylor expansion of re in im
12.546 * [backup-simplify]: Simplify re into re
12.546 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.546 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.546 * [backup-simplify]: Simplify (+ 1 0) into 1
12.547 * [backup-simplify]: Simplify (sqrt 1) into 1
12.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.548 * [backup-simplify]: Simplify (+ 0 0) into 0
12.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.549 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.549 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.549 * [taylor]: Taking taylor expansion of im in re
12.549 * [backup-simplify]: Simplify im into im
12.549 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.550 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.550 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.550 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.550 * [taylor]: Taking taylor expansion of re in re
12.550 * [backup-simplify]: Simplify 0 into 0
12.550 * [backup-simplify]: Simplify 1 into 1
12.550 * [backup-simplify]: Simplify (* 1 1) into 1
12.551 * [backup-simplify]: Simplify (/ 1 1) into 1
12.551 * [backup-simplify]: Simplify (+ 0 1) into 1
12.551 * [backup-simplify]: Simplify (sqrt 1) into 1
12.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.553 * [backup-simplify]: Simplify (+ 0 0) into 0
12.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.554 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.554 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.554 * [taylor]: Taking taylor expansion of im in re
12.554 * [backup-simplify]: Simplify im into im
12.554 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.554 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.554 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.554 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.554 * [taylor]: Taking taylor expansion of re in re
12.554 * [backup-simplify]: Simplify 0 into 0
12.554 * [backup-simplify]: Simplify 1 into 1
12.555 * [backup-simplify]: Simplify (* 1 1) into 1
12.555 * [backup-simplify]: Simplify (/ 1 1) into 1
12.556 * [backup-simplify]: Simplify (+ 0 1) into 1
12.556 * [backup-simplify]: Simplify (sqrt 1) into 1
12.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.558 * [backup-simplify]: Simplify (+ 0 0) into 0
12.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.558 * [taylor]: Taking taylor expansion of 1 in im
12.558 * [backup-simplify]: Simplify 1 into 1
12.558 * [taylor]: Taking taylor expansion of 0 in im
12.558 * [backup-simplify]: Simplify 0 into 0
12.558 * [backup-simplify]: Simplify 1 into 1
12.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.560 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.560 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.560 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.560 * [taylor]: Taking taylor expansion of 1/2 in im
12.560 * [backup-simplify]: Simplify 1/2 into 1/2
12.560 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.560 * [taylor]: Taking taylor expansion of im in im
12.561 * [backup-simplify]: Simplify 0 into 0
12.561 * [backup-simplify]: Simplify 1 into 1
12.561 * [backup-simplify]: Simplify (* 1 1) into 1
12.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.562 * [backup-simplify]: Simplify 0 into 0
12.562 * [backup-simplify]: Simplify 0 into 0
12.562 * [backup-simplify]: Simplify 0 into 0
12.562 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.564 * [backup-simplify]: Simplify (+ 0 0) into 0
12.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.564 * [taylor]: Taking taylor expansion of 0 in im
12.564 * [backup-simplify]: Simplify 0 into 0
12.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.565 * [backup-simplify]: Simplify 0 into 0
12.565 * [backup-simplify]: Simplify 0 into 0
12.566 * [backup-simplify]: Simplify 0 into 0
12.566 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
12.566 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.566 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.566 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.566 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.566 * [taylor]: Taking taylor expansion of im in im
12.566 * [backup-simplify]: Simplify 0 into 0
12.566 * [backup-simplify]: Simplify 1 into 1
12.566 * [backup-simplify]: Simplify (* 1 1) into 1
12.566 * [backup-simplify]: Simplify (/ 1 1) into 1
12.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.567 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.567 * [taylor]: Taking taylor expansion of re in im
12.567 * [backup-simplify]: Simplify re into re
12.567 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.567 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.567 * [backup-simplify]: Simplify (+ 1 0) into 1
12.567 * [backup-simplify]: Simplify (sqrt 1) into 1
12.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.568 * [backup-simplify]: Simplify (+ 0 0) into 0
12.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.569 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.569 * [taylor]: Taking taylor expansion of im in re
12.569 * [backup-simplify]: Simplify im into im
12.569 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.569 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.569 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.569 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.569 * [taylor]: Taking taylor expansion of re in re
12.569 * [backup-simplify]: Simplify 0 into 0
12.569 * [backup-simplify]: Simplify 1 into 1
12.569 * [backup-simplify]: Simplify (* 1 1) into 1
12.570 * [backup-simplify]: Simplify (/ 1 1) into 1
12.570 * [backup-simplify]: Simplify (+ 0 1) into 1
12.570 * [backup-simplify]: Simplify (sqrt 1) into 1
12.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.571 * [backup-simplify]: Simplify (+ 0 0) into 0
12.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.572 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.572 * [taylor]: Taking taylor expansion of im in re
12.572 * [backup-simplify]: Simplify im into im
12.572 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.572 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.572 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.572 * [taylor]: Taking taylor expansion of re in re
12.572 * [backup-simplify]: Simplify 0 into 0
12.572 * [backup-simplify]: Simplify 1 into 1
12.572 * [backup-simplify]: Simplify (* 1 1) into 1
12.573 * [backup-simplify]: Simplify (/ 1 1) into 1
12.573 * [backup-simplify]: Simplify (+ 0 1) into 1
12.573 * [backup-simplify]: Simplify (sqrt 1) into 1
12.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.574 * [backup-simplify]: Simplify (+ 0 0) into 0
12.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.575 * [taylor]: Taking taylor expansion of 1 in im
12.575 * [backup-simplify]: Simplify 1 into 1
12.575 * [taylor]: Taking taylor expansion of 0 in im
12.575 * [backup-simplify]: Simplify 0 into 0
12.575 * [backup-simplify]: Simplify 1 into 1
12.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.576 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.577 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.577 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.577 * [taylor]: Taking taylor expansion of 1/2 in im
12.577 * [backup-simplify]: Simplify 1/2 into 1/2
12.577 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.577 * [taylor]: Taking taylor expansion of im in im
12.577 * [backup-simplify]: Simplify 0 into 0
12.577 * [backup-simplify]: Simplify 1 into 1
12.578 * [backup-simplify]: Simplify (* 1 1) into 1
12.578 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.579 * [backup-simplify]: Simplify 0 into 0
12.579 * [backup-simplify]: Simplify 0 into 0
12.579 * [backup-simplify]: Simplify 0 into 0
12.579 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.581 * [backup-simplify]: Simplify (+ 0 0) into 0
12.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.582 * [taylor]: Taking taylor expansion of 0 in im
12.582 * [backup-simplify]: Simplify 0 into 0
12.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.583 * [backup-simplify]: Simplify 0 into 0
12.583 * [backup-simplify]: Simplify 0 into 0
12.583 * [backup-simplify]: Simplify 0 into 0
12.583 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
12.583 * * * [progress]: simplifying candidates
12.584 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
12.585 * * [simplify]: Extracting # 0 : cost  0
12.585 * * [simplify]: Extracting # 1 : cost  0
12.585 * * [simplify]: Extracting # 2 : cost  0
12.585 * * [simplify]: Extracting # 3 : cost  0
12.585 * * [simplify]: Extracting # 4 : cost  0
12.585 * * [simplify]: Extracting # 5 : cost  0
12.585 * * [simplify]: Extracting # 6 : cost  0
12.585 * * [simplify]: iteration  0 :  38  enodes  (cost  852 )
12.601 * * [simplify]: Extracting # 0 : cost  0
12.602 * * [simplify]: Extracting # 1 : cost  0
12.602 * * [simplify]: Extracting # 2 : cost  0
12.603 * * [simplify]: Extracting # 3 : cost  0
12.603 * * [simplify]: Extracting # 4 : cost  0
12.603 * * [simplify]: iteration  1 :  170  enodes  (cost  744 )
12.754 * * [simplify]: Extracting # 0 : cost  0
12.755 * * [simplify]: Extracting # 1 : cost  0
12.755 * * [simplify]: Extracting # 2 : cost  0
12.756 * * [simplify]: Extracting # 3 : cost  0
12.757 * * [simplify]: Extracting # 4 : cost  0
12.757 * * [simplify]: iteration  2 :  626  enodes  (cost  680 )
14.177 * * [simplify]: Extracting # 0 : cost  0
14.183 * * [simplify]: Extracting # 1 : cost  0
14.187 * * [simplify]: Extracting # 2 : cost  0
14.192 * * [simplify]: Extracting # 3 : cost  0
14.196 * * [simplify]: Extracting # 4 : cost  0
14.201 * * [simplify]: Extracting # 5 : cost  0
14.206 * * [simplify]: iteration  3 :  2817  enodes  (cost  680 )
15.834 * * [simplify]: Extracting # 0 : cost  0
15.840 * * [simplify]: Extracting # 1 : cost  0
15.849 * * [simplify]: Extracting # 2 : cost  0
15.860 * * [simplify]: Extracting # 3 : cost  0
15.869 * * [simplify]: Extracting # 4 : cost  0
15.875 * * [simplify]: iteration done:  5000  enodes  (cost  680 )
15.875 * [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 3) re)))
  (sqrt (- (* (pow re 3) re) (* (pow im 3) 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))))
  (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 3) re)))
  (sqrt (- (* (pow re 3) re) (* (pow im 3) 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))))
  (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 3) re)))
  (sqrt (- (* (pow re 3) re) (* (pow im 3) 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))))
  (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 3) re)))
  (sqrt (- (* (pow re 3) re) (* (pow im 3) im)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
15.876 * * * [progress]: adding candidates to table
16.252 * * [progress]: iteration 4 / 4
16.252 * * * [progress]: picking best candidate
16.258 * * * * [pick]: Picked  #<alt (λ (re im) (exp (log (sqrt (+ (* re re) (* im im))))))>
16.258 * * * [progress]: localizing error
16.270 * * * [progress]: generating rewritten candidates
16.270 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1)
16.278 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
16.289 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1)
16.303 * * * [progress]: generating series expansions
16.303 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1)
16.304 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
16.304 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
16.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
16.304 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
16.304 * [taylor]: Taking taylor expansion of (pow re 2) in im
16.304 * [taylor]: Taking taylor expansion of re in im
16.304 * [backup-simplify]: Simplify re into re
16.304 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.304 * [taylor]: Taking taylor expansion of im in im
16.304 * [backup-simplify]: Simplify 0 into 0
16.304 * [backup-simplify]: Simplify 1 into 1
16.304 * [backup-simplify]: Simplify (* re re) into (pow re 2)
16.304 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
16.304 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
16.304 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
16.305 * [backup-simplify]: Simplify (+ 0 0) into 0
16.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
16.306 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
16.306 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
16.306 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.306 * [taylor]: Taking taylor expansion of re in re
16.306 * [backup-simplify]: Simplify 0 into 0
16.306 * [backup-simplify]: Simplify 1 into 1
16.306 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.306 * [taylor]: Taking taylor expansion of im in re
16.306 * [backup-simplify]: Simplify im into im
16.306 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.306 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
16.306 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
16.306 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
16.306 * [backup-simplify]: Simplify (+ 0 0) into 0
16.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
16.306 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
16.306 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
16.306 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.306 * [taylor]: Taking taylor expansion of re in re
16.306 * [backup-simplify]: Simplify 0 into 0
16.307 * [backup-simplify]: Simplify 1 into 1
16.307 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.307 * [taylor]: Taking taylor expansion of im in re
16.307 * [backup-simplify]: Simplify im into im
16.307 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.307 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
16.307 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
16.307 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
16.307 * [backup-simplify]: Simplify (+ 0 0) into 0
16.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
16.307 * [taylor]: Taking taylor expansion of im in im
16.307 * [backup-simplify]: Simplify 0 into 0
16.307 * [backup-simplify]: Simplify 1 into 1
16.307 * [backup-simplify]: Simplify 0 into 0
16.307 * [taylor]: Taking taylor expansion of 0 in im
16.307 * [backup-simplify]: Simplify 0 into 0
16.307 * [backup-simplify]: Simplify 0 into 0
16.307 * [backup-simplify]: Simplify 1 into 1
16.308 * [backup-simplify]: Simplify (* 1 1) into 1
16.308 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
16.308 * [backup-simplify]: Simplify (+ 1 0) into 1
16.309 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
16.309 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
16.309 * [taylor]: Taking taylor expansion of 1/2 in im
16.309 * [backup-simplify]: Simplify 1/2 into 1/2
16.309 * [taylor]: Taking taylor expansion of im in im
16.309 * [backup-simplify]: Simplify 0 into 0
16.309 * [backup-simplify]: Simplify 1 into 1
16.309 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.310 * [backup-simplify]: Simplify 0 into 0
16.310 * [backup-simplify]: Simplify 0 into 0
16.310 * [backup-simplify]: Simplify 0 into 0
16.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.311 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
16.311 * [backup-simplify]: Simplify (+ 0 0) into 0
16.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
16.311 * [taylor]: Taking taylor expansion of 0 in im
16.311 * [backup-simplify]: Simplify 0 into 0
16.311 * [backup-simplify]: Simplify 0 into 0
16.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.312 * [backup-simplify]: Simplify 0 into 0
16.312 * [backup-simplify]: Simplify 0 into 0
16.312 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
16.312 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
16.312 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
16.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
16.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
16.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
16.312 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.312 * [taylor]: Taking taylor expansion of im in im
16.312 * [backup-simplify]: Simplify 0 into 0
16.312 * [backup-simplify]: Simplify 1 into 1
16.313 * [backup-simplify]: Simplify (* 1 1) into 1
16.313 * [backup-simplify]: Simplify (/ 1 1) into 1
16.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
16.313 * [taylor]: Taking taylor expansion of (pow re 2) in im
16.313 * [taylor]: Taking taylor expansion of re in im
16.313 * [backup-simplify]: Simplify re into re
16.313 * [backup-simplify]: Simplify (* re re) into (pow re 2)
16.313 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
16.313 * [backup-simplify]: Simplify (+ 1 0) into 1
16.314 * [backup-simplify]: Simplify (sqrt 1) into 1
16.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.320 * [backup-simplify]: Simplify (+ 0 0) into 0
16.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
16.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.321 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.321 * [taylor]: Taking taylor expansion of im in re
16.321 * [backup-simplify]: Simplify im into im
16.321 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.321 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.321 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.321 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.321 * [taylor]: Taking taylor expansion of re in re
16.321 * [backup-simplify]: Simplify 0 into 0
16.321 * [backup-simplify]: Simplify 1 into 1
16.322 * [backup-simplify]: Simplify (* 1 1) into 1
16.322 * [backup-simplify]: Simplify (/ 1 1) into 1
16.322 * [backup-simplify]: Simplify (+ 0 1) into 1
16.322 * [backup-simplify]: Simplify (sqrt 1) into 1
16.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.324 * [backup-simplify]: Simplify (+ 0 0) into 0
16.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
16.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.324 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.324 * [taylor]: Taking taylor expansion of im in re
16.324 * [backup-simplify]: Simplify im into im
16.324 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.324 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.324 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.325 * [taylor]: Taking taylor expansion of re in re
16.325 * [backup-simplify]: Simplify 0 into 0
16.325 * [backup-simplify]: Simplify 1 into 1
16.325 * [backup-simplify]: Simplify (* 1 1) into 1
16.325 * [backup-simplify]: Simplify (/ 1 1) into 1
16.325 * [backup-simplify]: Simplify (+ 0 1) into 1
16.326 * [backup-simplify]: Simplify (sqrt 1) into 1
16.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.327 * [backup-simplify]: Simplify (+ 0 0) into 0
16.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.327 * [taylor]: Taking taylor expansion of 1 in im
16.327 * [backup-simplify]: Simplify 1 into 1
16.327 * [taylor]: Taking taylor expansion of 0 in im
16.327 * [backup-simplify]: Simplify 0 into 0
16.327 * [backup-simplify]: Simplify 1 into 1
16.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.328 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
16.329 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
16.329 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
16.329 * [taylor]: Taking taylor expansion of 1/2 in im
16.329 * [backup-simplify]: Simplify 1/2 into 1/2
16.329 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.329 * [taylor]: Taking taylor expansion of im in im
16.329 * [backup-simplify]: Simplify 0 into 0
16.329 * [backup-simplify]: Simplify 1 into 1
16.330 * [backup-simplify]: Simplify (* 1 1) into 1
16.330 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.331 * [backup-simplify]: Simplify 0 into 0
16.331 * [backup-simplify]: Simplify 0 into 0
16.331 * [backup-simplify]: Simplify 0 into 0
16.331 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
16.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
16.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.333 * [backup-simplify]: Simplify (+ 0 0) into 0
16.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
16.333 * [taylor]: Taking taylor expansion of 0 in im
16.333 * [backup-simplify]: Simplify 0 into 0
16.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.334 * [backup-simplify]: Simplify 0 into 0
16.334 * [backup-simplify]: Simplify 0 into 0
16.334 * [backup-simplify]: Simplify 0 into 0
16.334 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
16.335 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
16.335 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
16.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
16.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
16.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
16.335 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.335 * [taylor]: Taking taylor expansion of im in im
16.335 * [backup-simplify]: Simplify 0 into 0
16.335 * [backup-simplify]: Simplify 1 into 1
16.335 * [backup-simplify]: Simplify (* 1 1) into 1
16.335 * [backup-simplify]: Simplify (/ 1 1) into 1
16.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
16.335 * [taylor]: Taking taylor expansion of (pow re 2) in im
16.335 * [taylor]: Taking taylor expansion of re in im
16.335 * [backup-simplify]: Simplify re into re
16.335 * [backup-simplify]: Simplify (* re re) into (pow re 2)
16.336 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
16.336 * [backup-simplify]: Simplify (+ 1 0) into 1
16.336 * [backup-simplify]: Simplify (sqrt 1) into 1
16.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.337 * [backup-simplify]: Simplify (+ 0 0) into 0
16.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
16.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.338 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.338 * [taylor]: Taking taylor expansion of im in re
16.338 * [backup-simplify]: Simplify im into im
16.338 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.338 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.338 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.338 * [taylor]: Taking taylor expansion of re in re
16.338 * [backup-simplify]: Simplify 0 into 0
16.338 * [backup-simplify]: Simplify 1 into 1
16.338 * [backup-simplify]: Simplify (* 1 1) into 1
16.338 * [backup-simplify]: Simplify (/ 1 1) into 1
16.339 * [backup-simplify]: Simplify (+ 0 1) into 1
16.339 * [backup-simplify]: Simplify (sqrt 1) into 1
16.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.340 * [backup-simplify]: Simplify (+ 0 0) into 0
16.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
16.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.341 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.341 * [taylor]: Taking taylor expansion of im in re
16.341 * [backup-simplify]: Simplify im into im
16.341 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.341 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.341 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.341 * [taylor]: Taking taylor expansion of re in re
16.341 * [backup-simplify]: Simplify 0 into 0
16.341 * [backup-simplify]: Simplify 1 into 1
16.341 * [backup-simplify]: Simplify (* 1 1) into 1
16.341 * [backup-simplify]: Simplify (/ 1 1) into 1
16.342 * [backup-simplify]: Simplify (+ 0 1) into 1
16.342 * [backup-simplify]: Simplify (sqrt 1) into 1
16.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.344 * [backup-simplify]: Simplify (+ 0 0) into 0
16.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.345 * [taylor]: Taking taylor expansion of 1 in im
16.345 * [backup-simplify]: Simplify 1 into 1
16.345 * [taylor]: Taking taylor expansion of 0 in im
16.345 * [backup-simplify]: Simplify 0 into 0
16.345 * [backup-simplify]: Simplify 1 into 1
16.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.347 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
16.348 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
16.348 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
16.348 * [taylor]: Taking taylor expansion of 1/2 in im
16.348 * [backup-simplify]: Simplify 1/2 into 1/2
16.348 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.348 * [taylor]: Taking taylor expansion of im in im
16.348 * [backup-simplify]: Simplify 0 into 0
16.348 * [backup-simplify]: Simplify 1 into 1
16.348 * [backup-simplify]: Simplify (* 1 1) into 1
16.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.349 * [backup-simplify]: Simplify 0 into 0
16.349 * [backup-simplify]: Simplify 0 into 0
16.349 * [backup-simplify]: Simplify 0 into 0
16.349 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
16.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
16.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.351 * [backup-simplify]: Simplify (+ 0 0) into 0
16.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
16.351 * [taylor]: Taking taylor expansion of 0 in im
16.351 * [backup-simplify]: Simplify 0 into 0
16.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.353 * [backup-simplify]: Simplify 0 into 0
16.353 * [backup-simplify]: Simplify 0 into 0
16.353 * [backup-simplify]: Simplify 0 into 0
16.353 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
16.353 * * * * [progress]: [ 2 / 3 ] generating series at (2)
16.353 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
16.353 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
16.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
16.353 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
16.353 * [taylor]: Taking taylor expansion of (pow re 2) in im
16.353 * [taylor]: Taking taylor expansion of re in im
16.353 * [backup-simplify]: Simplify re into re
16.353 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.353 * [taylor]: Taking taylor expansion of im in im
16.353 * [backup-simplify]: Simplify 0 into 0
16.353 * [backup-simplify]: Simplify 1 into 1
16.353 * [backup-simplify]: Simplify (* re re) into (pow re 2)
16.353 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
16.353 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
16.353 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
16.354 * [backup-simplify]: Simplify (+ 0 0) into 0
16.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
16.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
16.354 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
16.354 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.354 * [taylor]: Taking taylor expansion of re in re
16.354 * [backup-simplify]: Simplify 0 into 0
16.354 * [backup-simplify]: Simplify 1 into 1
16.354 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.354 * [taylor]: Taking taylor expansion of im in re
16.354 * [backup-simplify]: Simplify im into im
16.354 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.354 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
16.354 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
16.354 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
16.355 * [backup-simplify]: Simplify (+ 0 0) into 0
16.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
16.355 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
16.355 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
16.355 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.355 * [taylor]: Taking taylor expansion of re in re
16.355 * [backup-simplify]: Simplify 0 into 0
16.355 * [backup-simplify]: Simplify 1 into 1
16.355 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.355 * [taylor]: Taking taylor expansion of im in re
16.355 * [backup-simplify]: Simplify im into im
16.355 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.355 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
16.355 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
16.355 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
16.355 * [backup-simplify]: Simplify (+ 0 0) into 0
16.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
16.356 * [taylor]: Taking taylor expansion of im in im
16.356 * [backup-simplify]: Simplify 0 into 0
16.356 * [backup-simplify]: Simplify 1 into 1
16.356 * [backup-simplify]: Simplify 0 into 0
16.356 * [taylor]: Taking taylor expansion of 0 in im
16.356 * [backup-simplify]: Simplify 0 into 0
16.356 * [backup-simplify]: Simplify 0 into 0
16.356 * [backup-simplify]: Simplify 1 into 1
16.356 * [backup-simplify]: Simplify (* 1 1) into 1
16.356 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
16.357 * [backup-simplify]: Simplify (+ 1 0) into 1
16.357 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
16.357 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
16.357 * [taylor]: Taking taylor expansion of 1/2 in im
16.357 * [backup-simplify]: Simplify 1/2 into 1/2
16.357 * [taylor]: Taking taylor expansion of im in im
16.357 * [backup-simplify]: Simplify 0 into 0
16.357 * [backup-simplify]: Simplify 1 into 1
16.357 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.358 * [backup-simplify]: Simplify 0 into 0
16.358 * [backup-simplify]: Simplify 0 into 0
16.358 * [backup-simplify]: Simplify 0 into 0
16.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.359 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
16.359 * [backup-simplify]: Simplify (+ 0 0) into 0
16.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
16.359 * [taylor]: Taking taylor expansion of 0 in im
16.359 * [backup-simplify]: Simplify 0 into 0
16.359 * [backup-simplify]: Simplify 0 into 0
16.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.360 * [backup-simplify]: Simplify 0 into 0
16.360 * [backup-simplify]: Simplify 0 into 0
16.360 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
16.360 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
16.360 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
16.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
16.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
16.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
16.360 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.360 * [taylor]: Taking taylor expansion of im in im
16.360 * [backup-simplify]: Simplify 0 into 0
16.361 * [backup-simplify]: Simplify 1 into 1
16.361 * [backup-simplify]: Simplify (* 1 1) into 1
16.361 * [backup-simplify]: Simplify (/ 1 1) into 1
16.361 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
16.361 * [taylor]: Taking taylor expansion of (pow re 2) in im
16.361 * [taylor]: Taking taylor expansion of re in im
16.361 * [backup-simplify]: Simplify re into re
16.361 * [backup-simplify]: Simplify (* re re) into (pow re 2)
16.361 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
16.362 * [backup-simplify]: Simplify (+ 1 0) into 1
16.362 * [backup-simplify]: Simplify (sqrt 1) into 1
16.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.363 * [backup-simplify]: Simplify (+ 0 0) into 0
16.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
16.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.363 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.363 * [taylor]: Taking taylor expansion of im in re
16.363 * [backup-simplify]: Simplify im into im
16.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.364 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.364 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.364 * [taylor]: Taking taylor expansion of re in re
16.364 * [backup-simplify]: Simplify 0 into 0
16.364 * [backup-simplify]: Simplify 1 into 1
16.364 * [backup-simplify]: Simplify (* 1 1) into 1
16.364 * [backup-simplify]: Simplify (/ 1 1) into 1
16.364 * [backup-simplify]: Simplify (+ 0 1) into 1
16.365 * [backup-simplify]: Simplify (sqrt 1) into 1
16.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.366 * [backup-simplify]: Simplify (+ 0 0) into 0
16.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
16.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.366 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.366 * [taylor]: Taking taylor expansion of im in re
16.366 * [backup-simplify]: Simplify im into im
16.366 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.367 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.367 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.367 * [taylor]: Taking taylor expansion of re in re
16.367 * [backup-simplify]: Simplify 0 into 0
16.367 * [backup-simplify]: Simplify 1 into 1
16.367 * [backup-simplify]: Simplify (* 1 1) into 1
16.367 * [backup-simplify]: Simplify (/ 1 1) into 1
16.367 * [backup-simplify]: Simplify (+ 0 1) into 1
16.368 * [backup-simplify]: Simplify (sqrt 1) into 1
16.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.369 * [backup-simplify]: Simplify (+ 0 0) into 0
16.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.370 * [taylor]: Taking taylor expansion of 1 in im
16.370 * [backup-simplify]: Simplify 1 into 1
16.370 * [taylor]: Taking taylor expansion of 0 in im
16.370 * [backup-simplify]: Simplify 0 into 0
16.370 * [backup-simplify]: Simplify 1 into 1
16.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.371 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
16.372 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
16.372 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
16.372 * [taylor]: Taking taylor expansion of 1/2 in im
16.372 * [backup-simplify]: Simplify 1/2 into 1/2
16.372 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.372 * [taylor]: Taking taylor expansion of im in im
16.372 * [backup-simplify]: Simplify 0 into 0
16.372 * [backup-simplify]: Simplify 1 into 1
16.372 * [backup-simplify]: Simplify (* 1 1) into 1
16.373 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.374 * [backup-simplify]: Simplify 0 into 0
16.374 * [backup-simplify]: Simplify 0 into 0
16.374 * [backup-simplify]: Simplify 0 into 0
16.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
16.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
16.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.375 * [backup-simplify]: Simplify (+ 0 0) into 0
16.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
16.376 * [taylor]: Taking taylor expansion of 0 in im
16.376 * [backup-simplify]: Simplify 0 into 0
16.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.377 * [backup-simplify]: Simplify 0 into 0
16.377 * [backup-simplify]: Simplify 0 into 0
16.377 * [backup-simplify]: Simplify 0 into 0
16.377 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
16.378 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
16.378 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
16.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
16.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
16.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
16.378 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.378 * [taylor]: Taking taylor expansion of im in im
16.378 * [backup-simplify]: Simplify 0 into 0
16.378 * [backup-simplify]: Simplify 1 into 1
16.378 * [backup-simplify]: Simplify (* 1 1) into 1
16.378 * [backup-simplify]: Simplify (/ 1 1) into 1
16.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
16.378 * [taylor]: Taking taylor expansion of (pow re 2) in im
16.378 * [taylor]: Taking taylor expansion of re in im
16.378 * [backup-simplify]: Simplify re into re
16.378 * [backup-simplify]: Simplify (* re re) into (pow re 2)
16.378 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
16.379 * [backup-simplify]: Simplify (+ 1 0) into 1
16.379 * [backup-simplify]: Simplify (sqrt 1) into 1
16.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.380 * [backup-simplify]: Simplify (+ 0 0) into 0
16.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
16.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.381 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.381 * [taylor]: Taking taylor expansion of im in re
16.381 * [backup-simplify]: Simplify im into im
16.381 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.381 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.381 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.381 * [taylor]: Taking taylor expansion of re in re
16.381 * [backup-simplify]: Simplify 0 into 0
16.381 * [backup-simplify]: Simplify 1 into 1
16.381 * [backup-simplify]: Simplify (* 1 1) into 1
16.381 * [backup-simplify]: Simplify (/ 1 1) into 1
16.382 * [backup-simplify]: Simplify (+ 0 1) into 1
16.382 * [backup-simplify]: Simplify (sqrt 1) into 1
16.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.384 * [backup-simplify]: Simplify (+ 0 0) into 0
16.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
16.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.385 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.385 * [taylor]: Taking taylor expansion of im in re
16.385 * [backup-simplify]: Simplify im into im
16.385 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.385 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.385 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.385 * [taylor]: Taking taylor expansion of re in re
16.385 * [backup-simplify]: Simplify 0 into 0
16.385 * [backup-simplify]: Simplify 1 into 1
16.386 * [backup-simplify]: Simplify (* 1 1) into 1
16.386 * [backup-simplify]: Simplify (/ 1 1) into 1
16.386 * [backup-simplify]: Simplify (+ 0 1) into 1
16.386 * [backup-simplify]: Simplify (sqrt 1) into 1
16.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.387 * [backup-simplify]: Simplify (+ 0 0) into 0
16.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.388 * [taylor]: Taking taylor expansion of 1 in im
16.388 * [backup-simplify]: Simplify 1 into 1
16.388 * [taylor]: Taking taylor expansion of 0 in im
16.388 * [backup-simplify]: Simplify 0 into 0
16.388 * [backup-simplify]: Simplify 1 into 1
16.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.389 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
16.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
16.390 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
16.390 * [taylor]: Taking taylor expansion of 1/2 in im
16.390 * [backup-simplify]: Simplify 1/2 into 1/2
16.390 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.390 * [taylor]: Taking taylor expansion of im in im
16.390 * [backup-simplify]: Simplify 0 into 0
16.390 * [backup-simplify]: Simplify 1 into 1
16.391 * [backup-simplify]: Simplify (* 1 1) into 1
16.391 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.392 * [backup-simplify]: Simplify 0 into 0
16.392 * [backup-simplify]: Simplify 0 into 0
16.392 * [backup-simplify]: Simplify 0 into 0
16.392 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
16.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
16.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.394 * [backup-simplify]: Simplify (+ 0 0) into 0
16.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
16.394 * [taylor]: Taking taylor expansion of 0 in im
16.394 * [backup-simplify]: Simplify 0 into 0
16.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.395 * [backup-simplify]: Simplify 0 into 0
16.395 * [backup-simplify]: Simplify 0 into 0
16.395 * [backup-simplify]: Simplify 0 into 0
16.395 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
16.395 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1)
16.395 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
16.396 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
16.396 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
16.396 * [taylor]: Taking taylor expansion of (pow re 2) in im
16.396 * [taylor]: Taking taylor expansion of re in im
16.396 * [backup-simplify]: Simplify re into re
16.396 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.396 * [taylor]: Taking taylor expansion of im in im
16.396 * [backup-simplify]: Simplify 0 into 0
16.396 * [backup-simplify]: Simplify 1 into 1
16.396 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
16.396 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.396 * [taylor]: Taking taylor expansion of re in re
16.396 * [backup-simplify]: Simplify 0 into 0
16.396 * [backup-simplify]: Simplify 1 into 1
16.396 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.396 * [taylor]: Taking taylor expansion of im in re
16.396 * [backup-simplify]: Simplify im into im
16.396 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
16.396 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.396 * [taylor]: Taking taylor expansion of re in re
16.396 * [backup-simplify]: Simplify 0 into 0
16.396 * [backup-simplify]: Simplify 1 into 1
16.396 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.396 * [taylor]: Taking taylor expansion of im in re
16.396 * [backup-simplify]: Simplify im into im
16.396 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.396 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
16.396 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.396 * [taylor]: Taking taylor expansion of im in im
16.396 * [backup-simplify]: Simplify 0 into 0
16.396 * [backup-simplify]: Simplify 1 into 1
16.396 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
16.397 * [backup-simplify]: Simplify (+ 0 0) into 0
16.397 * [taylor]: Taking taylor expansion of 0 in im
16.397 * [backup-simplify]: Simplify 0 into 0
16.397 * [backup-simplify]: Simplify 0 into 0
16.397 * [backup-simplify]: Simplify (* 1 1) into 1
16.397 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
16.397 * [backup-simplify]: Simplify (+ 1 0) into 1
16.397 * [taylor]: Taking taylor expansion of 1 in im
16.398 * [backup-simplify]: Simplify 1 into 1
16.398 * [backup-simplify]: Simplify 1 into 1
16.398 * [backup-simplify]: Simplify 0 into 0
16.398 * [backup-simplify]: Simplify (* 1 1) into 1
16.398 * [backup-simplify]: Simplify 1 into 1
16.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.399 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
16.399 * [backup-simplify]: Simplify (+ 0 0) into 0
16.399 * [taylor]: Taking taylor expansion of 0 in im
16.399 * [backup-simplify]: Simplify 0 into 0
16.399 * [backup-simplify]: Simplify 0 into 0
16.399 * [backup-simplify]: Simplify 0 into 0
16.399 * [backup-simplify]: Simplify 0 into 0
16.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.400 * [backup-simplify]: Simplify 0 into 0
16.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.401 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
16.401 * [backup-simplify]: Simplify (+ 0 0) into 0
16.401 * [taylor]: Taking taylor expansion of 0 in im
16.401 * [backup-simplify]: Simplify 0 into 0
16.401 * [backup-simplify]: Simplify 0 into 0
16.401 * [backup-simplify]: Simplify 0 into 0
16.401 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
16.402 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
16.402 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
16.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
16.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
16.402 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.402 * [taylor]: Taking taylor expansion of im in im
16.402 * [backup-simplify]: Simplify 0 into 0
16.402 * [backup-simplify]: Simplify 1 into 1
16.402 * [backup-simplify]: Simplify (* 1 1) into 1
16.402 * [backup-simplify]: Simplify (/ 1 1) into 1
16.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
16.402 * [taylor]: Taking taylor expansion of (pow re 2) in im
16.402 * [taylor]: Taking taylor expansion of re in im
16.402 * [backup-simplify]: Simplify re into re
16.402 * [backup-simplify]: Simplify (* re re) into (pow re 2)
16.402 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
16.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.403 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.403 * [taylor]: Taking taylor expansion of im in re
16.403 * [backup-simplify]: Simplify im into im
16.403 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.403 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.403 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.403 * [taylor]: Taking taylor expansion of re in re
16.403 * [backup-simplify]: Simplify 0 into 0
16.403 * [backup-simplify]: Simplify 1 into 1
16.403 * [backup-simplify]: Simplify (* 1 1) into 1
16.403 * [backup-simplify]: Simplify (/ 1 1) into 1
16.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.403 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.403 * [taylor]: Taking taylor expansion of im in re
16.403 * [backup-simplify]: Simplify im into im
16.404 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.404 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.404 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.404 * [taylor]: Taking taylor expansion of re in re
16.404 * [backup-simplify]: Simplify 0 into 0
16.404 * [backup-simplify]: Simplify 1 into 1
16.404 * [backup-simplify]: Simplify (* 1 1) into 1
16.404 * [backup-simplify]: Simplify (/ 1 1) into 1
16.405 * [backup-simplify]: Simplify (+ 0 1) into 1
16.405 * [taylor]: Taking taylor expansion of 1 in im
16.405 * [backup-simplify]: Simplify 1 into 1
16.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.406 * [backup-simplify]: Simplify (+ 0 0) into 0
16.406 * [taylor]: Taking taylor expansion of 0 in im
16.406 * [backup-simplify]: Simplify 0 into 0
16.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.407 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
16.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
16.407 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.407 * [taylor]: Taking taylor expansion of im in im
16.408 * [backup-simplify]: Simplify 0 into 0
16.408 * [backup-simplify]: Simplify 1 into 1
16.408 * [backup-simplify]: Simplify (* 1 1) into 1
16.408 * [backup-simplify]: Simplify (/ 1 1) into 1
16.408 * [backup-simplify]: Simplify 1 into 1
16.408 * [backup-simplify]: Simplify 1 into 1
16.408 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
16.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
16.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.410 * [backup-simplify]: Simplify (+ 0 0) into 0
16.410 * [taylor]: Taking taylor expansion of 0 in im
16.410 * [backup-simplify]: Simplify 0 into 0
16.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.411 * [backup-simplify]: Simplify 0 into 0
16.411 * [backup-simplify]: Simplify 0 into 0
16.411 * [backup-simplify]: Simplify 0 into 0
16.411 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
16.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
16.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.413 * [backup-simplify]: Simplify (+ 0 0) into 0
16.413 * [taylor]: Taking taylor expansion of 0 in im
16.413 * [backup-simplify]: Simplify 0 into 0
16.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.414 * [backup-simplify]: Simplify 0 into 0
16.414 * [backup-simplify]: Simplify 0 into 0
16.414 * [backup-simplify]: Simplify 0 into 0
16.415 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
16.415 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
16.415 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
16.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
16.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
16.415 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.415 * [taylor]: Taking taylor expansion of im in im
16.415 * [backup-simplify]: Simplify 0 into 0
16.415 * [backup-simplify]: Simplify 1 into 1
16.415 * [backup-simplify]: Simplify (* 1 1) into 1
16.416 * [backup-simplify]: Simplify (/ 1 1) into 1
16.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
16.416 * [taylor]: Taking taylor expansion of (pow re 2) in im
16.416 * [taylor]: Taking taylor expansion of re in im
16.416 * [backup-simplify]: Simplify re into re
16.416 * [backup-simplify]: Simplify (* re re) into (pow re 2)
16.416 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
16.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.416 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.416 * [taylor]: Taking taylor expansion of im in re
16.416 * [backup-simplify]: Simplify im into im
16.416 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.416 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.416 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.416 * [taylor]: Taking taylor expansion of re in re
16.416 * [backup-simplify]: Simplify 0 into 0
16.416 * [backup-simplify]: Simplify 1 into 1
16.416 * [backup-simplify]: Simplify (* 1 1) into 1
16.417 * [backup-simplify]: Simplify (/ 1 1) into 1
16.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
16.417 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
16.417 * [taylor]: Taking taylor expansion of (pow im 2) in re
16.417 * [taylor]: Taking taylor expansion of im in re
16.417 * [backup-simplify]: Simplify im into im
16.417 * [backup-simplify]: Simplify (* im im) into (pow im 2)
16.417 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
16.417 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
16.417 * [taylor]: Taking taylor expansion of (pow re 2) in re
16.417 * [taylor]: Taking taylor expansion of re in re
16.417 * [backup-simplify]: Simplify 0 into 0
16.417 * [backup-simplify]: Simplify 1 into 1
16.417 * [backup-simplify]: Simplify (* 1 1) into 1
16.418 * [backup-simplify]: Simplify (/ 1 1) into 1
16.418 * [backup-simplify]: Simplify (+ 0 1) into 1
16.418 * [taylor]: Taking taylor expansion of 1 in im
16.418 * [backup-simplify]: Simplify 1 into 1
16.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.419 * [backup-simplify]: Simplify (+ 0 0) into 0
16.419 * [taylor]: Taking taylor expansion of 0 in im
16.419 * [backup-simplify]: Simplify 0 into 0
16.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.425 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
16.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
16.425 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.425 * [taylor]: Taking taylor expansion of im in im
16.425 * [backup-simplify]: Simplify 0 into 0
16.425 * [backup-simplify]: Simplify 1 into 1
16.425 * [backup-simplify]: Simplify (* 1 1) into 1
16.426 * [backup-simplify]: Simplify (/ 1 1) into 1
16.426 * [backup-simplify]: Simplify 1 into 1
16.426 * [backup-simplify]: Simplify 1 into 1
16.426 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
16.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
16.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.428 * [backup-simplify]: Simplify (+ 0 0) into 0
16.428 * [taylor]: Taking taylor expansion of 0 in im
16.428 * [backup-simplify]: Simplify 0 into 0
16.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.429 * [backup-simplify]: Simplify 0 into 0
16.429 * [backup-simplify]: Simplify 0 into 0
16.429 * [backup-simplify]: Simplify 0 into 0
16.429 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
16.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
16.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.431 * [backup-simplify]: Simplify (+ 0 0) into 0
16.431 * [taylor]: Taking taylor expansion of 0 in im
16.431 * [backup-simplify]: Simplify 0 into 0
16.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.432 * [backup-simplify]: Simplify 0 into 0
16.432 * [backup-simplify]: Simplify 0 into 0
16.432 * [backup-simplify]: Simplify 0 into 0
16.433 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
16.433 * * * [progress]: simplifying candidates
16.433 * [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 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)
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
16.436 * * [simplify]: Extracting # 0 : cost  0
16.436 * * [simplify]: Extracting # 1 : cost  0
16.436 * * [simplify]: Extracting # 2 : cost  0
16.436 * * [simplify]: Extracting # 3 : cost  0
16.437 * * [simplify]: Extracting # 4 : cost  0
16.437 * * [simplify]: Extracting # 5 : cost  0
16.437 * * [simplify]: Extracting # 6 : cost  0
16.437 * * [simplify]: iteration  0 :  87  enodes  (cost  739 )
16.478 * * [simplify]: Extracting # 0 : cost  0
16.479 * * [simplify]: Extracting # 1 : cost  0
16.479 * * [simplify]: Extracting # 2 : cost  0
16.480 * * [simplify]: Extracting # 3 : cost  0
16.480 * * [simplify]: Extracting # 4 : cost  0
16.480 * * [simplify]: Extracting # 5 : cost  0
16.480 * * [simplify]: iteration  1 :  320  enodes  (cost  596 )
17.353 * * [simplify]: Extracting # 0 : cost  0
17.357 * * [simplify]: Extracting # 1 : cost  0
17.362 * * [simplify]: Extracting # 2 : cost  0
17.367 * * [simplify]: Extracting # 3 : cost  0
17.373 * * [simplify]: Extracting # 4 : cost  0
17.378 * * [simplify]: Extracting # 5 : cost  0
17.381 * * [simplify]: iteration  2 :  2867  enodes  (cost  528 )
21.769 * * [simplify]: Extracting # 0 : cost  0
21.779 * * [simplify]: Extracting # 1 : cost  0
21.784 * * [simplify]: Extracting # 2 : cost  0
21.789 * * [simplify]: Extracting # 3 : cost  0
21.797 * * [simplify]: Extracting # 4 : cost  0
21.807 * * [simplify]: Extracting # 5 : cost  0
21.816 * * [simplify]: iteration done:  5000  enodes  (cost  528 )
21.816 * [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 (+ (* (- (pow im 3) (* (* re im) re)) im) (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 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 (+ (* (- (pow im 3) (* (* re im) re)) im) (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))
  (+ (* (- (pow im 3) (* (* re im) re)) im) (pow re 4))
  (- (pow re 4) (pow im 4))
  (- (* re re) (pow im 2))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ (* re re) (pow im 2))
  (+ (* re re) (pow im 2))
  (+ (* re re) (pow im 2))
21.817 * * * [progress]: adding candidates to table
22.022 * [progress]: [Phase 3 of 3] Extracting.
22.022 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) im)>)
22.023 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re)
22.023 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) im)>)
22.084 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))>)
22.114 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) im)>)
22.152 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)>)
22.185 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) im)>)
22.236 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
22.259 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) im)>)
22.317 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
22.336 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) im)>)
22.397 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) im)>)
22.455 * * * [regime]: Found split indices: #<option (#s(si 5 34) #s(si 4 211) #s(si 2 255))>
22.456 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) im)>)
22.513 * [regimes]: Found splitpoints: (#s(sp 5 re -1.1564076018637175e+112) #s(sp 4 re 1.3595155319523303e+138) #s(sp 2 re +nan.0)) , with alts (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) im)>)
22.513 * [simplify]: Simplifying:
  (if (<= re -1.1564076018637175e+112) (- re) (if (<= re 1.3595155319523303e+138) (sqrt (+ (* re re) (* im im))) re))
22.513 * * [simplify]: Extracting # 0 : cost  0
22.513 * * [simplify]: Extracting # 1 : cost  0
22.513 * * [simplify]: Extracting # 2 : cost  0
22.514 * * [simplify]: Extracting # 3 : cost  0
22.514 * * [simplify]: Extracting # 4 : cost  0
22.514 * * [simplify]: Extracting # 5 : cost  0
22.514 * * [simplify]: Extracting # 6 : cost  0
22.514 * * [simplify]: Extracting # 7 : cost  0
22.514 * * [simplify]: Extracting # 8 : cost  0
22.514 * * [simplify]: Extracting # 9 : cost  0
22.514 * * [simplify]: iteration  0 :  13  enodes  (cost  19 )
22.514 * * [simplify]: Extracting # 0 : cost  0
22.514 * * [simplify]: iteration  1 :  14  enodes  (cost  19 )
22.515 * * [simplify]: Extracting # 0 : cost  0
22.515 * * [simplify]: iteration done:  14  enodes  (cost  19 )
22.515 * [simplify]: Simplified to:
  (if (<= re -1.1564076018637175e+112) (- re) (if (<= re 1.3595155319523303e+138) (sqrt (+ (* re re) (* im im))) re))
23.649 * [regime-testing]: Baseline error score: 31.60898001601765
23.655 * [regime-testing]: Oracle error score: 7.884190684029036
23.663 * [regime-testing]: End program error score: 17.792082895301338