31.081 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.052 * * * [progress]: [2/2] Setting up program.
0.055 * [progress]: [Phase 2 of 3] Improving.
0.055 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.055 * * [simplify]: Extracting # 0 : cost  0
0.055 * * [simplify]: Extracting # 1 : cost  0
0.055 * * [simplify]: Extracting # 2 : cost  0
0.055 * * [simplify]: Extracting # 3 : cost  0
0.055 * * [simplify]: Extracting # 4 : cost  0
0.055 * * [simplify]: Extracting # 5 : cost  0
0.055 * * [simplify]: Extracting # 6 : cost  0
0.055 * * [simplify]: Extracting # 7 : cost  0
0.055 * * [simplify]: Extracting # 8 : cost  0
0.055 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.057 * * [simplify]: Extracting # 0 : cost  0
0.057 * * [simplify]: Extracting # 1 : cost  0
0.057 * * [simplify]: Extracting # 2 : cost  0
0.057 * * [simplify]: iteration  1 :  24  enodes  (cost  10 )
0.061 * * [simplify]: Extracting # 0 : cost  0
0.062 * * [simplify]: iteration  2 :  30  enodes  (cost  10 )
0.065 * * [simplify]: Extracting # 0 : cost  0
0.066 * * [simplify]: iteration  3 :  32  enodes  (cost  10 )
0.073 * * [simplify]: Extracting # 0 : cost  0
0.073 * * [simplify]: iteration done:  32  enodes  (cost  10 )
0.073 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0)))
0.080 * * [progress]: iteration 1 / 4
0.080 * * * [progress]: picking best candidate
0.083 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))))>
0.083 * * * [progress]: localizing error
0.099 * * * [progress]: generating rewritten candidates
0.099 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1)
0.106 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 1 2)
0.107 * * * [progress]: generating series expansions
0.107 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1)
0.107 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
0.107 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
0.107 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.107 * [taylor]: Taking taylor expansion of re in im
0.107 * [backup-simplify]: Simplify re into re
0.107 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.107 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.107 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.107 * [taylor]: Taking taylor expansion of (* re re) in im
0.107 * [taylor]: Taking taylor expansion of re in im
0.107 * [backup-simplify]: Simplify re into re
0.107 * [taylor]: Taking taylor expansion of re in im
0.107 * [backup-simplify]: Simplify re into re
0.107 * [taylor]: Taking taylor expansion of (* im im) 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 * [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 (* re re) into (pow re 2)
0.108 * [backup-simplify]: Simplify (* 0 0) into 0
0.108 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.108 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.108 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.109 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.109 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.109 * [taylor]: Taking taylor expansion of re in re
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 1 into 1
0.109 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.109 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.109 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.109 * [taylor]: Taking taylor expansion of (* re re) in re
0.109 * [taylor]: Taking taylor expansion of re in re
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 1 into 1
0.109 * [taylor]: Taking taylor expansion of re in re
0.109 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [taylor]: Taking taylor expansion of (* im im) in re
0.110 * [taylor]: Taking taylor expansion of im in re
0.110 * [backup-simplify]: Simplify im into im
0.110 * [taylor]: Taking taylor expansion of im in re
0.110 * [backup-simplify]: Simplify im into im
0.110 * [backup-simplify]: Simplify (* 0 0) into 0
0.110 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.110 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.110 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.110 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.111 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.111 * [taylor]: Taking taylor expansion of re in re
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.111 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.111 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.111 * [taylor]: Taking taylor expansion of (* re re) in re
0.111 * [taylor]: Taking taylor expansion of re in re
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [taylor]: Taking taylor expansion of re in re
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [taylor]: Taking taylor expansion of (* im im) in re
0.111 * [taylor]: Taking taylor expansion of im in re
0.111 * [backup-simplify]: Simplify im into im
0.111 * [taylor]: Taking taylor expansion of im in re
0.111 * [backup-simplify]: Simplify im into im
0.112 * [backup-simplify]: Simplify (* 0 0) into 0
0.112 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.112 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.112 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.112 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.113 * [backup-simplify]: Simplify (+ 0 im) into im
0.113 * [taylor]: Taking taylor expansion of im in im
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (+ 1 0) into 1
0.113 * [taylor]: Taking taylor expansion of 1 in im
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.114 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.114 * [backup-simplify]: Simplify (+ 1 0) into 1
0.115 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.115 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.115 * [taylor]: Taking taylor expansion of 1/2 in im
0.115 * [backup-simplify]: Simplify 1/2 into 1/2
0.115 * [taylor]: Taking taylor expansion of (/ 1 im) 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
0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.117 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [taylor]: Taking taylor expansion of 0 in im
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.120 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.120 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.120 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.120 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.120 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.120 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.120 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.120 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.120 * [taylor]: Taking taylor expansion of re in im
0.120 * [backup-simplify]: Simplify re into re
0.120 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.120 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.120 * [taylor]: Taking taylor expansion of re in im
0.120 * [backup-simplify]: Simplify re into re
0.120 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.120 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.120 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.120 * [taylor]: Taking taylor expansion of im in im
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
0.120 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.120 * [taylor]: Taking taylor expansion of im in im
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.121 * [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
0.121 * [backup-simplify]: Simplify (sqrt 1) into 1
0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.123 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.123 * [taylor]: Taking taylor expansion of re in im
0.123 * [backup-simplify]: Simplify re into re
0.123 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.124 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.124 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.124 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.124 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.124 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.124 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.124 * [taylor]: Taking taylor expansion of re in re
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify (/ 1 1) into 1
0.124 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.124 * [taylor]: Taking taylor expansion of re in re
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify (/ 1 1) into 1
0.124 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.124 * [taylor]: Taking taylor expansion of (/ 1 im) 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 (/ 1 im) into (/ 1 im)
0.124 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.124 * [taylor]: Taking taylor expansion of im in re
0.125 * [backup-simplify]: Simplify im into im
0.125 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.125 * [backup-simplify]: Simplify (* 1 1) into 1
0.125 * [backup-simplify]: Simplify (+ 1 0) into 1
0.125 * [backup-simplify]: Simplify (sqrt 1) into 1
0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.127 * [taylor]: Taking taylor expansion of re in re
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (/ 1 1) into 1
0.127 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.128 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.128 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.128 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.128 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.128 * [taylor]: Taking taylor expansion of re in re
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (/ 1 1) into 1
0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.128 * [taylor]: Taking taylor expansion of re in re
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (/ 1 1) into 1
0.128 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.128 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.128 * [taylor]: Taking taylor expansion of im in re
0.128 * [backup-simplify]: Simplify im into im
0.128 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.128 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.128 * [taylor]: Taking taylor expansion of im in re
0.128 * [backup-simplify]: Simplify im into im
0.128 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.129 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify (+ 1 0) into 1
0.129 * [backup-simplify]: Simplify (sqrt 1) into 1
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.131 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.131 * [taylor]: Taking taylor expansion of re in re
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (/ 1 1) into 1
0.132 * [backup-simplify]: Simplify (+ 1 1) into 2
0.132 * [taylor]: Taking taylor expansion of 2 in im
0.132 * [backup-simplify]: Simplify 2 into 2
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [taylor]: Taking taylor expansion of 0 in im
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 2 into 2
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.134 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.134 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.135 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.136 * [taylor]: Taking taylor expansion of 1/2 in im
0.136 * [backup-simplify]: Simplify 1/2 into 1/2
0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.136 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.136 * [taylor]: Taking taylor expansion of im in im
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (* 1 1) into 1
0.136 * [backup-simplify]: Simplify (/ 1 1) into 1
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.140 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [taylor]: Taking taylor expansion of 0 in im
0.141 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.143 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.143 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.143 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.143 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.143 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.143 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.143 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.143 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.143 * [taylor]: Taking taylor expansion of -1 in im
0.143 * [backup-simplify]: Simplify -1 into -1
0.143 * [taylor]: Taking taylor expansion of re in im
0.143 * [backup-simplify]: Simplify re into re
0.143 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.143 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.143 * [taylor]: Taking taylor expansion of -1 in im
0.143 * [backup-simplify]: Simplify -1 into -1
0.143 * [taylor]: Taking taylor expansion of re in im
0.143 * [backup-simplify]: Simplify re into re
0.143 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.143 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.143 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.144 * [taylor]: Taking taylor expansion of -1 in im
0.144 * [backup-simplify]: Simplify -1 into -1
0.144 * [taylor]: Taking taylor expansion of im in im
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (/ -1 1) into -1
0.144 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.144 * [taylor]: Taking taylor expansion of -1 in im
0.144 * [backup-simplify]: Simplify -1 into -1
0.144 * [taylor]: Taking taylor expansion of im in im
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (/ -1 1) into -1
0.144 * [backup-simplify]: Simplify (* -1 -1) into 1
0.145 * [backup-simplify]: Simplify (+ 0 1) into 1
0.145 * [backup-simplify]: Simplify (sqrt 1) into 1
0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.158 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.158 * [taylor]: Taking taylor expansion of re in im
0.158 * [backup-simplify]: Simplify re into re
0.159 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.159 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.159 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.159 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.159 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.159 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.159 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.159 * [taylor]: Taking taylor expansion of -1 in re
0.159 * [backup-simplify]: Simplify -1 into -1
0.159 * [taylor]: Taking taylor expansion of re in re
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (/ -1 1) into -1
0.162 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.162 * [taylor]: Taking taylor expansion of -1 in re
0.162 * [backup-simplify]: Simplify -1 into -1
0.162 * [taylor]: Taking taylor expansion of re in re
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.163 * [backup-simplify]: Simplify (/ -1 1) into -1
0.163 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.163 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.163 * [taylor]: Taking taylor expansion of -1 in re
0.163 * [backup-simplify]: Simplify -1 into -1
0.163 * [taylor]: Taking taylor expansion of im in re
0.163 * [backup-simplify]: Simplify im into im
0.163 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.163 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.163 * [taylor]: Taking taylor expansion of -1 in re
0.163 * [backup-simplify]: Simplify -1 into -1
0.163 * [taylor]: Taking taylor expansion of im in re
0.163 * [backup-simplify]: Simplify im into im
0.163 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.164 * [backup-simplify]: Simplify (* -1 -1) into 1
0.164 * [backup-simplify]: Simplify (+ 1 0) into 1
0.164 * [backup-simplify]: Simplify (sqrt 1) into 1
0.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.167 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.167 * [taylor]: Taking taylor expansion of re in re
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (/ 1 1) into 1
0.168 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.168 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.168 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.168 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.168 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.168 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.168 * [taylor]: Taking taylor expansion of -1 in re
0.168 * [backup-simplify]: Simplify -1 into -1
0.168 * [taylor]: Taking taylor expansion of re in re
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (/ -1 1) into -1
0.168 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.168 * [taylor]: Taking taylor expansion of -1 in re
0.168 * [backup-simplify]: Simplify -1 into -1
0.168 * [taylor]: Taking taylor expansion of re in re
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ -1 1) into -1
0.169 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.169 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.169 * [taylor]: Taking taylor expansion of -1 in re
0.169 * [backup-simplify]: Simplify -1 into -1
0.169 * [taylor]: Taking taylor expansion of im in re
0.169 * [backup-simplify]: Simplify im into im
0.169 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.169 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.169 * [taylor]: Taking taylor expansion of -1 in re
0.169 * [backup-simplify]: Simplify -1 into -1
0.169 * [taylor]: Taking taylor expansion of im in re
0.169 * [backup-simplify]: Simplify im into im
0.169 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.169 * [backup-simplify]: Simplify (* -1 -1) into 1
0.169 * [backup-simplify]: Simplify (+ 1 0) into 1
0.170 * [backup-simplify]: Simplify (sqrt 1) into 1
0.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.171 * [backup-simplify]: Simplify (+ 0 0) into 0
0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.172 * [taylor]: Taking taylor expansion of re in re
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) into -1
0.173 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.173 * [taylor]: Taking taylor expansion of 0 in im
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- 0) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [taylor]: Taking taylor expansion of 0 in im
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.175 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.175 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.176 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (- 0) into 0
0.177 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.177 * [taylor]: Taking taylor expansion of 1/2 in im
0.177 * [backup-simplify]: Simplify 1/2 into 1/2
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.177 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.177 * [taylor]: Taking taylor expansion of im in im
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (* 1 1) into 1
0.178 * [backup-simplify]: Simplify (/ 1 1) into 1
0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.181 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.181 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.181 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (- 0) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [taylor]: Taking taylor expansion of 0 in im
0.183 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 1 2)
0.185 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.185 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.185 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.185 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.185 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.185 * [taylor]: Taking taylor expansion of (* re re) in im
0.185 * [taylor]: Taking taylor expansion of re in im
0.185 * [backup-simplify]: Simplify re into re
0.185 * [taylor]: Taking taylor expansion of re in im
0.185 * [backup-simplify]: Simplify re into re
0.185 * [taylor]: Taking taylor expansion of (* im im) in im
0.185 * [taylor]: Taking taylor expansion of im in im
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [taylor]: Taking taylor expansion of im in im
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.186 * [backup-simplify]: Simplify (* 0 0) into 0
0.186 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.186 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.186 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.186 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.187 * [backup-simplify]: Simplify (+ 0 0) into 0
0.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.187 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.187 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.187 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.187 * [taylor]: Taking taylor expansion of (* re re) in re
0.187 * [taylor]: Taking taylor expansion of re in re
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.187 * [taylor]: Taking taylor expansion of re in re
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.187 * [taylor]: Taking taylor expansion of (* im im) in re
0.187 * [taylor]: Taking taylor expansion of im in re
0.187 * [backup-simplify]: Simplify im into im
0.187 * [taylor]: Taking taylor expansion of im in re
0.187 * [backup-simplify]: Simplify im into im
0.187 * [backup-simplify]: Simplify (* 0 0) into 0
0.187 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.187 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.187 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.188 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.188 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.188 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.188 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.188 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.188 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.188 * [taylor]: Taking taylor expansion of (* re re) in re
0.188 * [taylor]: Taking taylor expansion of re in re
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.189 * [taylor]: Taking taylor expansion of re in re
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [taylor]: Taking taylor expansion of (* im im) in re
0.189 * [taylor]: Taking taylor expansion of im in re
0.189 * [backup-simplify]: Simplify im into im
0.189 * [taylor]: Taking taylor expansion of im in re
0.189 * [backup-simplify]: Simplify im into im
0.189 * [backup-simplify]: Simplify (* 0 0) into 0
0.189 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.189 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.189 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.189 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.190 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.190 * [backup-simplify]: Simplify (+ 0 0) into 0
0.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.190 * [taylor]: Taking taylor expansion of im in im
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [taylor]: Taking taylor expansion of 0 in im
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.191 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.191 * [backup-simplify]: Simplify (+ 1 0) into 1
0.192 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.192 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.192 * [taylor]: Taking taylor expansion of 1/2 in im
0.192 * [backup-simplify]: Simplify 1/2 into 1/2
0.192 * [taylor]: Taking taylor expansion of im in im
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.194 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.194 * [taylor]: Taking taylor expansion of 0 in im
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.195 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.195 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.195 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.195 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.195 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.195 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.195 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.195 * [taylor]: Taking taylor expansion of re in im
0.195 * [backup-simplify]: Simplify re into re
0.195 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.195 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.195 * [taylor]: Taking taylor expansion of re in im
0.195 * [backup-simplify]: Simplify re into re
0.195 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.195 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.195 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.195 * [taylor]: Taking taylor expansion of im in im
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (/ 1 1) into 1
0.195 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.196 * [taylor]: Taking taylor expansion of im in im
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (/ 1 1) into 1
0.196 * [backup-simplify]: Simplify (* 1 1) into 1
0.196 * [backup-simplify]: Simplify (+ 0 1) into 1
0.197 * [backup-simplify]: Simplify (sqrt 1) into 1
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.198 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.199 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.199 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.199 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.199 * [taylor]: Taking taylor expansion of re in re
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (/ 1 1) into 1
0.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.199 * [taylor]: Taking taylor expansion of re in re
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (/ 1 1) into 1
0.199 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.199 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.199 * [taylor]: Taking taylor expansion of im in re
0.199 * [backup-simplify]: Simplify im into im
0.199 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.199 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.199 * [taylor]: Taking taylor expansion of im in re
0.199 * [backup-simplify]: Simplify im into im
0.199 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.200 * [backup-simplify]: Simplify (* 1 1) into 1
0.200 * [backup-simplify]: Simplify (+ 1 0) into 1
0.200 * [backup-simplify]: Simplify (sqrt 1) into 1
0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.202 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.202 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.202 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.202 * [taylor]: Taking taylor expansion of re in re
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.203 * [backup-simplify]: Simplify (/ 1 1) into 1
0.203 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.203 * [taylor]: Taking taylor expansion of re in re
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.203 * [backup-simplify]: Simplify (/ 1 1) into 1
0.203 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.203 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.203 * [taylor]: Taking taylor expansion of im in re
0.203 * [backup-simplify]: Simplify im into im
0.203 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.203 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.203 * [taylor]: Taking taylor expansion of im in re
0.203 * [backup-simplify]: Simplify im into im
0.203 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.203 * [backup-simplify]: Simplify (* 1 1) into 1
0.204 * [backup-simplify]: Simplify (+ 1 0) into 1
0.204 * [backup-simplify]: Simplify (sqrt 1) into 1
0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.206 * [taylor]: Taking taylor expansion of 1 in im
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [taylor]: Taking taylor expansion of 0 in im
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.208 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.208 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.209 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.209 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.209 * [taylor]: Taking taylor expansion of 1/2 in im
0.209 * [backup-simplify]: Simplify 1/2 into 1/2
0.209 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.209 * [taylor]: Taking taylor expansion of im in im
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (* 1 1) into 1
0.209 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.212 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.213 * [taylor]: Taking taylor expansion of 0 in im
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.214 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.214 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.214 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.214 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.214 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.214 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.214 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.214 * [taylor]: Taking taylor expansion of -1 in im
0.214 * [backup-simplify]: Simplify -1 into -1
0.214 * [taylor]: Taking taylor expansion of re in im
0.214 * [backup-simplify]: Simplify re into re
0.214 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.214 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.214 * [taylor]: Taking taylor expansion of -1 in im
0.214 * [backup-simplify]: Simplify -1 into -1
0.214 * [taylor]: Taking taylor expansion of re in im
0.214 * [backup-simplify]: Simplify re into re
0.214 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.214 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.214 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.214 * [taylor]: Taking taylor expansion of -1 in im
0.214 * [backup-simplify]: Simplify -1 into -1
0.214 * [taylor]: Taking taylor expansion of im in im
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (/ -1 1) into -1
0.215 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.215 * [taylor]: Taking taylor expansion of -1 in im
0.215 * [backup-simplify]: Simplify -1 into -1
0.215 * [taylor]: Taking taylor expansion of im in im
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (/ -1 1) into -1
0.215 * [backup-simplify]: Simplify (* -1 -1) into 1
0.216 * [backup-simplify]: Simplify (+ 0 1) into 1
0.216 * [backup-simplify]: Simplify (sqrt 1) into 1
0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.217 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.218 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.218 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.218 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.218 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.218 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.218 * [taylor]: Taking taylor expansion of -1 in re
0.218 * [backup-simplify]: Simplify -1 into -1
0.218 * [taylor]: Taking taylor expansion of re in re
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 1 into 1
0.218 * [backup-simplify]: Simplify (/ -1 1) into -1
0.218 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.218 * [taylor]: Taking taylor expansion of -1 in re
0.218 * [backup-simplify]: Simplify -1 into -1
0.218 * [taylor]: Taking taylor expansion of re in re
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (/ -1 1) into -1
0.219 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.219 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.219 * [taylor]: Taking taylor expansion of -1 in re
0.219 * [backup-simplify]: Simplify -1 into -1
0.219 * [taylor]: Taking taylor expansion of im in re
0.219 * [backup-simplify]: Simplify im into im
0.219 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.219 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.219 * [taylor]: Taking taylor expansion of -1 in re
0.219 * [backup-simplify]: Simplify -1 into -1
0.219 * [taylor]: Taking taylor expansion of im in re
0.219 * [backup-simplify]: Simplify im into im
0.219 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.219 * [backup-simplify]: Simplify (* -1 -1) into 1
0.220 * [backup-simplify]: Simplify (+ 1 0) into 1
0.220 * [backup-simplify]: Simplify (sqrt 1) into 1
0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.222 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.222 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.222 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.222 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.222 * [taylor]: Taking taylor expansion of -1 in re
0.222 * [backup-simplify]: Simplify -1 into -1
0.222 * [taylor]: Taking taylor expansion of re in re
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (/ -1 1) into -1
0.223 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.223 * [taylor]: Taking taylor expansion of -1 in re
0.223 * [backup-simplify]: Simplify -1 into -1
0.223 * [taylor]: Taking taylor expansion of re in re
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (/ -1 1) into -1
0.223 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.223 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.223 * [taylor]: Taking taylor expansion of -1 in re
0.223 * [backup-simplify]: Simplify -1 into -1
0.223 * [taylor]: Taking taylor expansion of im in re
0.223 * [backup-simplify]: Simplify im into im
0.223 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.223 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.223 * [taylor]: Taking taylor expansion of -1 in re
0.223 * [backup-simplify]: Simplify -1 into -1
0.223 * [taylor]: Taking taylor expansion of im in re
0.223 * [backup-simplify]: Simplify im into im
0.223 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.223 * [backup-simplify]: Simplify (* -1 -1) into 1
0.224 * [backup-simplify]: Simplify (+ 1 0) into 1
0.224 * [backup-simplify]: Simplify (sqrt 1) into 1
0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.226 * [taylor]: Taking taylor expansion of 1 in im
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [taylor]: Taking taylor expansion of 0 in im
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.229 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.229 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.230 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.230 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.230 * [taylor]: Taking taylor expansion of 1/2 in im
0.230 * [backup-simplify]: Simplify 1/2 into 1/2
0.230 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.231 * [taylor]: Taking taylor expansion of im in im
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (* 1 1) into 1
0.231 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.236 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.237 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.238 * [taylor]: Taking taylor expansion of 0 in im
0.238 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.240 * * * [progress]: simplifying candidates
0.241 * [simplify]: Simplifying:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
0.242 * * [simplify]: Extracting # 0 : cost  0
0.242 * * [simplify]: Extracting # 1 : cost  0
0.242 * * [simplify]: Extracting # 2 : cost  0
0.242 * * [simplify]: Extracting # 3 : cost  0
0.242 * * [simplify]: Extracting # 4 : cost  0
0.242 * * [simplify]: Extracting # 5 : cost  0
0.243 * * [simplify]: iteration  0 :  42  enodes  (cost  193 )
0.259 * * [simplify]: Extracting # 0 : cost  0
0.259 * * [simplify]: Extracting # 1 : cost  0
0.259 * * [simplify]: Extracting # 2 : cost  0
0.259 * * [simplify]: Extracting # 3 : cost  0
0.260 * * [simplify]: Extracting # 4 : cost  0
0.260 * * [simplify]: iteration  1 :  89  enodes  (cost  179 )
0.302 * * [simplify]: Extracting # 0 : cost  0
0.302 * * [simplify]: Extracting # 1 : cost  0
0.303 * * [simplify]: Extracting # 2 : cost  0
0.303 * * [simplify]: Extracting # 3 : cost  0
0.303 * * [simplify]: iteration  2 :  178  enodes  (cost  169 )
0.356 * * [simplify]: Extracting # 0 : cost  0
0.357 * * [simplify]: Extracting # 1 : cost  0
0.358 * * [simplify]: Extracting # 2 : cost  0
0.358 * * [simplify]: Extracting # 3 : cost  0
0.359 * * [simplify]: iteration  3 :  352  enodes  (cost  169 )
0.555 * * [simplify]: Extracting # 0 : cost  0
0.557 * * [simplify]: Extracting # 1 : cost  0
0.558 * * [simplify]: Extracting # 2 : cost  0
0.559 * * [simplify]: Extracting # 3 : cost  0
0.560 * * [simplify]: Extracting # 4 : cost  0
0.561 * * [simplify]: iteration  4 :  917  enodes  (cost  169 )
1.753 * * [simplify]: Extracting # 0 : cost  0
1.756 * * [simplify]: Extracting # 1 : cost  0
1.758 * * [simplify]: Extracting # 2 : cost  0
1.760 * * [simplify]: Extracting # 3 : cost  0
1.762 * * [simplify]: Extracting # 4 : cost  0
1.763 * * [simplify]: iteration  5 :  2217  enodes  (cost  169 )
5.457 * * [simplify]: Extracting # 0 : cost  0
5.463 * * [simplify]: Extracting # 1 : cost  0
5.468 * * [simplify]: Extracting # 2 : cost  0
5.477 * * [simplify]: Extracting # 3 : cost  0
5.485 * * [simplify]: Extracting # 4 : cost  0
5.494 * * [simplify]: iteration done:  5000  enodes  (cost  169 )
5.494 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (+ re re)
  0
  im
  re
  (- re)
5.495 * * * [progress]: adding candidates to table
5.635 * * [progress]: iteration 2 / 4
5.635 * * * [progress]: picking best candidate
5.669 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))>
5.669 * * * [progress]: localizing error
5.683 * * * [progress]: generating rewritten candidates
5.683 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
5.690 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2)
5.706 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2 1)
5.707 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1)
5.713 * * * [progress]: generating series expansions
5.713 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
5.713 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) into (+ re (hypot re im))
5.713 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
5.713 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
5.713 * [taylor]: Taking taylor expansion of re in im
5.713 * [backup-simplify]: Simplify re into re
5.713 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.714 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.714 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.714 * [taylor]: Taking taylor expansion of (* re re) in im
5.714 * [taylor]: Taking taylor expansion of re in im
5.714 * [backup-simplify]: Simplify re into re
5.714 * [taylor]: Taking taylor expansion of re in im
5.714 * [backup-simplify]: Simplify re into re
5.714 * [taylor]: Taking taylor expansion of (* im im) in im
5.714 * [taylor]: Taking taylor expansion of im in im
5.714 * [backup-simplify]: Simplify 0 into 0
5.714 * [backup-simplify]: Simplify 1 into 1
5.714 * [taylor]: Taking taylor expansion of im in im
5.714 * [backup-simplify]: Simplify 0 into 0
5.714 * [backup-simplify]: Simplify 1 into 1
5.714 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.715 * [backup-simplify]: Simplify (* 0 0) into 0
5.715 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.715 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.715 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.716 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.716 * [backup-simplify]: Simplify (+ 0 0) into 0
5.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.717 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.717 * [taylor]: Taking taylor expansion of re in re
5.717 * [backup-simplify]: Simplify 0 into 0
5.717 * [backup-simplify]: Simplify 1 into 1
5.717 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.717 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.717 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.717 * [taylor]: Taking taylor expansion of (* re re) in re
5.717 * [taylor]: Taking taylor expansion of re in re
5.717 * [backup-simplify]: Simplify 0 into 0
5.717 * [backup-simplify]: Simplify 1 into 1
5.717 * [taylor]: Taking taylor expansion of re in re
5.717 * [backup-simplify]: Simplify 0 into 0
5.717 * [backup-simplify]: Simplify 1 into 1
5.717 * [taylor]: Taking taylor expansion of (* im im) in re
5.717 * [taylor]: Taking taylor expansion of im in re
5.717 * [backup-simplify]: Simplify im into im
5.717 * [taylor]: Taking taylor expansion of im in re
5.717 * [backup-simplify]: Simplify im into im
5.718 * [backup-simplify]: Simplify (* 0 0) into 0
5.718 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.718 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.718 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.719 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.719 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.719 * [backup-simplify]: Simplify (+ 0 0) into 0
5.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.719 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.720 * [taylor]: Taking taylor expansion of re in re
5.720 * [backup-simplify]: Simplify 0 into 0
5.720 * [backup-simplify]: Simplify 1 into 1
5.720 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.720 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.720 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.720 * [taylor]: Taking taylor expansion of (* re re) in re
5.720 * [taylor]: Taking taylor expansion of re in re
5.720 * [backup-simplify]: Simplify 0 into 0
5.720 * [backup-simplify]: Simplify 1 into 1
5.720 * [taylor]: Taking taylor expansion of re in re
5.720 * [backup-simplify]: Simplify 0 into 0
5.720 * [backup-simplify]: Simplify 1 into 1
5.720 * [taylor]: Taking taylor expansion of (* im im) in re
5.720 * [taylor]: Taking taylor expansion of im in re
5.720 * [backup-simplify]: Simplify im into im
5.720 * [taylor]: Taking taylor expansion of im in re
5.720 * [backup-simplify]: Simplify im into im
5.721 * [backup-simplify]: Simplify (* 0 0) into 0
5.721 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.721 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.721 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.722 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.722 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.722 * [backup-simplify]: Simplify (+ 0 0) into 0
5.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.722 * [backup-simplify]: Simplify (+ 0 im) into im
5.722 * [taylor]: Taking taylor expansion of im in im
5.722 * [backup-simplify]: Simplify 0 into 0
5.722 * [backup-simplify]: Simplify 1 into 1
5.722 * [backup-simplify]: Simplify 0 into 0
5.723 * [backup-simplify]: Simplify (+ 1 0) into 1
5.723 * [taylor]: Taking taylor expansion of 1 in im
5.723 * [backup-simplify]: Simplify 1 into 1
5.723 * [backup-simplify]: Simplify 1 into 1
5.723 * [backup-simplify]: Simplify 1 into 1
5.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.724 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.725 * [backup-simplify]: Simplify (+ 1 0) into 1
5.726 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.726 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
5.726 * [taylor]: Taking taylor expansion of 1/2 in im
5.726 * [backup-simplify]: Simplify 1/2 into 1/2
5.726 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.726 * [taylor]: Taking taylor expansion of im in im
5.726 * [backup-simplify]: Simplify 0 into 0
5.726 * [backup-simplify]: Simplify 1 into 1
5.727 * [backup-simplify]: Simplify (/ 1 1) into 1
5.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.728 * [backup-simplify]: Simplify 0 into 0
5.728 * [backup-simplify]: Simplify 0 into 0
5.728 * [backup-simplify]: Simplify 0 into 0
5.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.730 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.731 * [backup-simplify]: Simplify (+ 0 0) into 0
5.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.731 * [backup-simplify]: Simplify (+ 0 0) into 0
5.732 * [taylor]: Taking taylor expansion of 0 in im
5.732 * [backup-simplify]: Simplify 0 into 0
5.732 * [backup-simplify]: Simplify 0 into 0
5.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.734 * [backup-simplify]: Simplify 0 into 0
5.734 * [backup-simplify]: Simplify 0 into 0
5.734 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
5.734 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
5.734 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
5.734 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
5.734 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.734 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.735 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.735 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.735 * [taylor]: Taking taylor expansion of re in im
5.735 * [backup-simplify]: Simplify re into re
5.735 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.735 * [taylor]: Taking taylor expansion of re in im
5.735 * [backup-simplify]: Simplify re into re
5.735 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.735 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.735 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.735 * [taylor]: Taking taylor expansion of im in im
5.735 * [backup-simplify]: Simplify 0 into 0
5.735 * [backup-simplify]: Simplify 1 into 1
5.735 * [backup-simplify]: Simplify (/ 1 1) into 1
5.735 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.736 * [taylor]: Taking taylor expansion of im in im
5.736 * [backup-simplify]: Simplify 0 into 0
5.736 * [backup-simplify]: Simplify 1 into 1
5.736 * [backup-simplify]: Simplify (/ 1 1) into 1
5.736 * [backup-simplify]: Simplify (* 1 1) into 1
5.737 * [backup-simplify]: Simplify (+ 0 1) into 1
5.737 * [backup-simplify]: Simplify (sqrt 1) into 1
5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.740 * [backup-simplify]: Simplify (+ 0 0) into 0
5.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.741 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.741 * [taylor]: Taking taylor expansion of re in im
5.741 * [backup-simplify]: Simplify re into re
5.741 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.741 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.741 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.741 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.741 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.741 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.741 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.741 * [taylor]: Taking taylor expansion of re in re
5.741 * [backup-simplify]: Simplify 0 into 0
5.741 * [backup-simplify]: Simplify 1 into 1
5.742 * [backup-simplify]: Simplify (/ 1 1) into 1
5.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.742 * [taylor]: Taking taylor expansion of re in re
5.742 * [backup-simplify]: Simplify 0 into 0
5.742 * [backup-simplify]: Simplify 1 into 1
5.742 * [backup-simplify]: Simplify (/ 1 1) into 1
5.742 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.742 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.742 * [taylor]: Taking taylor expansion of im in re
5.742 * [backup-simplify]: Simplify im into im
5.742 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.742 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.742 * [taylor]: Taking taylor expansion of im in re
5.742 * [backup-simplify]: Simplify im into im
5.742 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.743 * [backup-simplify]: Simplify (* 1 1) into 1
5.743 * [backup-simplify]: Simplify (+ 1 0) into 1
5.744 * [backup-simplify]: Simplify (sqrt 1) into 1
5.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.746 * [backup-simplify]: Simplify (+ 0 0) into 0
5.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.747 * [taylor]: Taking taylor expansion of re in re
5.747 * [backup-simplify]: Simplify 0 into 0
5.747 * [backup-simplify]: Simplify 1 into 1
5.748 * [backup-simplify]: Simplify (/ 1 1) into 1
5.748 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.748 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.748 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.748 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.748 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.748 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.748 * [taylor]: Taking taylor expansion of re in re
5.748 * [backup-simplify]: Simplify 0 into 0
5.748 * [backup-simplify]: Simplify 1 into 1
5.748 * [backup-simplify]: Simplify (/ 1 1) into 1
5.748 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.749 * [taylor]: Taking taylor expansion of re in re
5.749 * [backup-simplify]: Simplify 0 into 0
5.749 * [backup-simplify]: Simplify 1 into 1
5.749 * [backup-simplify]: Simplify (/ 1 1) into 1
5.749 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.749 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.749 * [taylor]: Taking taylor expansion of im in re
5.749 * [backup-simplify]: Simplify im into im
5.749 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.749 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.749 * [taylor]: Taking taylor expansion of im in re
5.749 * [backup-simplify]: Simplify im into im
5.749 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.750 * [backup-simplify]: Simplify (* 1 1) into 1
5.750 * [backup-simplify]: Simplify (+ 1 0) into 1
5.751 * [backup-simplify]: Simplify (sqrt 1) into 1
5.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.753 * [backup-simplify]: Simplify (+ 0 0) into 0
5.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.754 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.754 * [taylor]: Taking taylor expansion of re in re
5.754 * [backup-simplify]: Simplify 0 into 0
5.754 * [backup-simplify]: Simplify 1 into 1
5.754 * [backup-simplify]: Simplify (/ 1 1) into 1
5.755 * [backup-simplify]: Simplify (+ 1 1) into 2
5.755 * [taylor]: Taking taylor expansion of 2 in im
5.755 * [backup-simplify]: Simplify 2 into 2
5.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.756 * [backup-simplify]: Simplify (+ 0 0) into 0
5.756 * [taylor]: Taking taylor expansion of 0 in im
5.756 * [backup-simplify]: Simplify 0 into 0
5.756 * [backup-simplify]: Simplify 2 into 2
5.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.759 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.760 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.761 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.762 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.762 * [taylor]: Taking taylor expansion of 1/2 in im
5.762 * [backup-simplify]: Simplify 1/2 into 1/2
5.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.762 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.762 * [taylor]: Taking taylor expansion of im in im
5.762 * [backup-simplify]: Simplify 0 into 0
5.762 * [backup-simplify]: Simplify 1 into 1
5.763 * [backup-simplify]: Simplify (* 1 1) into 1
5.763 * [backup-simplify]: Simplify (/ 1 1) into 1
5.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.765 * [backup-simplify]: Simplify 0 into 0
5.765 * [backup-simplify]: Simplify 0 into 0
5.766 * [backup-simplify]: Simplify 0 into 0
5.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.769 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.769 * [backup-simplify]: Simplify (+ 0 0) into 0
5.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.771 * [backup-simplify]: Simplify (+ 0 0) into 0
5.771 * [taylor]: Taking taylor expansion of 0 in im
5.771 * [backup-simplify]: Simplify 0 into 0
5.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.774 * [backup-simplify]: Simplify 0 into 0
5.774 * [backup-simplify]: Simplify 0 into 0
5.774 * [backup-simplify]: Simplify 0 into 0
5.775 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
5.775 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
5.775 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
5.775 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
5.775 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.775 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.775 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.775 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.775 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.775 * [taylor]: Taking taylor expansion of -1 in im
5.776 * [backup-simplify]: Simplify -1 into -1
5.776 * [taylor]: Taking taylor expansion of re in im
5.776 * [backup-simplify]: Simplify re into re
5.776 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.776 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.776 * [taylor]: Taking taylor expansion of -1 in im
5.776 * [backup-simplify]: Simplify -1 into -1
5.776 * [taylor]: Taking taylor expansion of re in im
5.776 * [backup-simplify]: Simplify re into re
5.776 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.776 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.776 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.776 * [taylor]: Taking taylor expansion of -1 in im
5.776 * [backup-simplify]: Simplify -1 into -1
5.776 * [taylor]: Taking taylor expansion of im in im
5.776 * [backup-simplify]: Simplify 0 into 0
5.776 * [backup-simplify]: Simplify 1 into 1
5.776 * [backup-simplify]: Simplify (/ -1 1) into -1
5.777 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.777 * [taylor]: Taking taylor expansion of -1 in im
5.777 * [backup-simplify]: Simplify -1 into -1
5.777 * [taylor]: Taking taylor expansion of im in im
5.777 * [backup-simplify]: Simplify 0 into 0
5.777 * [backup-simplify]: Simplify 1 into 1
5.777 * [backup-simplify]: Simplify (/ -1 1) into -1
5.778 * [backup-simplify]: Simplify (* -1 -1) into 1
5.778 * [backup-simplify]: Simplify (+ 0 1) into 1
5.778 * [backup-simplify]: Simplify (sqrt 1) into 1
5.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.791 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.792 * [backup-simplify]: Simplify (+ 0 0) into 0
5.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.792 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.792 * [taylor]: Taking taylor expansion of re in im
5.792 * [backup-simplify]: Simplify re into re
5.792 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.792 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.792 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.793 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.793 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.793 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.793 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.793 * [taylor]: Taking taylor expansion of -1 in re
5.793 * [backup-simplify]: Simplify -1 into -1
5.793 * [taylor]: Taking taylor expansion of re in re
5.793 * [backup-simplify]: Simplify 0 into 0
5.793 * [backup-simplify]: Simplify 1 into 1
5.793 * [backup-simplify]: Simplify (/ -1 1) into -1
5.793 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.793 * [taylor]: Taking taylor expansion of -1 in re
5.793 * [backup-simplify]: Simplify -1 into -1
5.793 * [taylor]: Taking taylor expansion of re in re
5.793 * [backup-simplify]: Simplify 0 into 0
5.793 * [backup-simplify]: Simplify 1 into 1
5.793 * [backup-simplify]: Simplify (/ -1 1) into -1
5.793 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.793 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.793 * [taylor]: Taking taylor expansion of -1 in re
5.794 * [backup-simplify]: Simplify -1 into -1
5.794 * [taylor]: Taking taylor expansion of im in re
5.794 * [backup-simplify]: Simplify im into im
5.794 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.794 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.794 * [taylor]: Taking taylor expansion of -1 in re
5.794 * [backup-simplify]: Simplify -1 into -1
5.794 * [taylor]: Taking taylor expansion of im in re
5.794 * [backup-simplify]: Simplify im into im
5.794 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.794 * [backup-simplify]: Simplify (* -1 -1) into 1
5.794 * [backup-simplify]: Simplify (+ 1 0) into 1
5.794 * [backup-simplify]: Simplify (sqrt 1) into 1
5.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.796 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.796 * [backup-simplify]: Simplify (+ 0 0) into 0
5.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.797 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.797 * [taylor]: Taking taylor expansion of re in re
5.797 * [backup-simplify]: Simplify 0 into 0
5.797 * [backup-simplify]: Simplify 1 into 1
5.797 * [backup-simplify]: Simplify (/ 1 1) into 1
5.797 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.797 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.797 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.797 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.797 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.797 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.797 * [taylor]: Taking taylor expansion of -1 in re
5.797 * [backup-simplify]: Simplify -1 into -1
5.797 * [taylor]: Taking taylor expansion of re in re
5.797 * [backup-simplify]: Simplify 0 into 0
5.797 * [backup-simplify]: Simplify 1 into 1
5.798 * [backup-simplify]: Simplify (/ -1 1) into -1
5.798 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.798 * [taylor]: Taking taylor expansion of -1 in re
5.798 * [backup-simplify]: Simplify -1 into -1
5.798 * [taylor]: Taking taylor expansion of re in re
5.798 * [backup-simplify]: Simplify 0 into 0
5.798 * [backup-simplify]: Simplify 1 into 1
5.798 * [backup-simplify]: Simplify (/ -1 1) into -1
5.798 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.798 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.798 * [taylor]: Taking taylor expansion of -1 in re
5.798 * [backup-simplify]: Simplify -1 into -1
5.798 * [taylor]: Taking taylor expansion of im in re
5.798 * [backup-simplify]: Simplify im into im
5.798 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.798 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.798 * [taylor]: Taking taylor expansion of -1 in re
5.798 * [backup-simplify]: Simplify -1 into -1
5.798 * [taylor]: Taking taylor expansion of im in re
5.798 * [backup-simplify]: Simplify im into im
5.798 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.798 * [backup-simplify]: Simplify (* -1 -1) into 1
5.799 * [backup-simplify]: Simplify (+ 1 0) into 1
5.799 * [backup-simplify]: Simplify (sqrt 1) into 1
5.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.800 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.801 * [backup-simplify]: Simplify (+ 0 0) into 0
5.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.801 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.801 * [taylor]: Taking taylor expansion of re in re
5.801 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify 1 into 1
5.801 * [backup-simplify]: Simplify (/ 1 1) into 1
5.802 * [backup-simplify]: Simplify (- 1) into -1
5.802 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.802 * [taylor]: Taking taylor expansion of 0 in im
5.802 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.803 * [backup-simplify]: Simplify (- 0) into 0
5.803 * [backup-simplify]: Simplify (+ 0 0) into 0
5.803 * [taylor]: Taking taylor expansion of 0 in im
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.804 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.805 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.805 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.806 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.806 * [backup-simplify]: Simplify (- 0) into 0
5.806 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.806 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.806 * [taylor]: Taking taylor expansion of 1/2 in im
5.807 * [backup-simplify]: Simplify 1/2 into 1/2
5.807 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.807 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.807 * [taylor]: Taking taylor expansion of im in im
5.807 * [backup-simplify]: Simplify 0 into 0
5.807 * [backup-simplify]: Simplify 1 into 1
5.807 * [backup-simplify]: Simplify (* 1 1) into 1
5.807 * [backup-simplify]: Simplify (/ 1 1) into 1
5.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.810 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.810 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.810 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.810 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.811 * [backup-simplify]: Simplify (+ 0 0) into 0
5.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.812 * [backup-simplify]: Simplify (- 0) into 0
5.812 * [backup-simplify]: Simplify (+ 0 0) into 0
5.812 * [taylor]: Taking taylor expansion of 0 in im
5.812 * [backup-simplify]: Simplify 0 into 0
5.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.814 * [backup-simplify]: Simplify 0 into 0
5.814 * [backup-simplify]: Simplify 0 into 0
5.814 * [backup-simplify]: Simplify 0 into 0
5.814 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2)
5.814 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
5.814 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
5.814 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.814 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.814 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.814 * [taylor]: Taking taylor expansion of (* re re) in im
5.814 * [taylor]: Taking taylor expansion of re in im
5.814 * [backup-simplify]: Simplify re into re
5.814 * [taylor]: Taking taylor expansion of re in im
5.814 * [backup-simplify]: Simplify re into re
5.814 * [taylor]: Taking taylor expansion of (* im im) in im
5.814 * [taylor]: Taking taylor expansion of im in im
5.814 * [backup-simplify]: Simplify 0 into 0
5.814 * [backup-simplify]: Simplify 1 into 1
5.814 * [taylor]: Taking taylor expansion of im in im
5.814 * [backup-simplify]: Simplify 0 into 0
5.814 * [backup-simplify]: Simplify 1 into 1
5.814 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.815 * [backup-simplify]: Simplify (* 0 0) into 0
5.815 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.815 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.815 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.815 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.816 * [backup-simplify]: Simplify (+ 0 0) into 0
5.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.816 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.816 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.816 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.816 * [taylor]: Taking taylor expansion of (* re re) in re
5.816 * [taylor]: Taking taylor expansion of re in re
5.816 * [backup-simplify]: Simplify 0 into 0
5.816 * [backup-simplify]: Simplify 1 into 1
5.816 * [taylor]: Taking taylor expansion of re in re
5.816 * [backup-simplify]: Simplify 0 into 0
5.816 * [backup-simplify]: Simplify 1 into 1
5.816 * [taylor]: Taking taylor expansion of (* im im) in re
5.816 * [taylor]: Taking taylor expansion of im in re
5.816 * [backup-simplify]: Simplify im into im
5.816 * [taylor]: Taking taylor expansion of im in re
5.816 * [backup-simplify]: Simplify im into im
5.816 * [backup-simplify]: Simplify (* 0 0) into 0
5.816 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.816 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.816 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.817 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.817 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.817 * [backup-simplify]: Simplify (+ 0 0) into 0
5.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.817 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.817 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.817 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.817 * [taylor]: Taking taylor expansion of (* re re) in re
5.817 * [taylor]: Taking taylor expansion of re in re
5.817 * [backup-simplify]: Simplify 0 into 0
5.817 * [backup-simplify]: Simplify 1 into 1
5.817 * [taylor]: Taking taylor expansion of re in re
5.817 * [backup-simplify]: Simplify 0 into 0
5.817 * [backup-simplify]: Simplify 1 into 1
5.818 * [taylor]: Taking taylor expansion of (* im im) in re
5.818 * [taylor]: Taking taylor expansion of im in re
5.818 * [backup-simplify]: Simplify im into im
5.818 * [taylor]: Taking taylor expansion of im in re
5.818 * [backup-simplify]: Simplify im into im
5.818 * [backup-simplify]: Simplify (* 0 0) into 0
5.818 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.818 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.818 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.818 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.818 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.819 * [backup-simplify]: Simplify (+ 0 0) into 0
5.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.819 * [taylor]: Taking taylor expansion of im in im
5.819 * [backup-simplify]: Simplify 0 into 0
5.819 * [backup-simplify]: Simplify 1 into 1
5.819 * [backup-simplify]: Simplify 0 into 0
5.819 * [taylor]: Taking taylor expansion of 0 in im
5.819 * [backup-simplify]: Simplify 0 into 0
5.819 * [backup-simplify]: Simplify 0 into 0
5.819 * [backup-simplify]: Simplify 1 into 1
5.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.820 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.820 * [backup-simplify]: Simplify (+ 1 0) into 1
5.821 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.821 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.821 * [taylor]: Taking taylor expansion of 1/2 in im
5.821 * [backup-simplify]: Simplify 1/2 into 1/2
5.821 * [taylor]: Taking taylor expansion of im in im
5.821 * [backup-simplify]: Simplify 0 into 0
5.821 * [backup-simplify]: Simplify 1 into 1
5.821 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.821 * [backup-simplify]: Simplify 0 into 0
5.821 * [backup-simplify]: Simplify 0 into 0
5.821 * [backup-simplify]: Simplify 0 into 0
5.822 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.823 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.823 * [backup-simplify]: Simplify (+ 0 0) into 0
5.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.823 * [taylor]: Taking taylor expansion of 0 in im
5.823 * [backup-simplify]: Simplify 0 into 0
5.823 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.824 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
5.824 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
5.824 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.824 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.824 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.824 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.824 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.824 * [taylor]: Taking taylor expansion of re in im
5.824 * [backup-simplify]: Simplify re into re
5.824 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.824 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.824 * [taylor]: Taking taylor expansion of re in im
5.824 * [backup-simplify]: Simplify re into re
5.824 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.824 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.824 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.824 * [taylor]: Taking taylor expansion of im in im
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify 1 into 1
5.825 * [backup-simplify]: Simplify (/ 1 1) into 1
5.825 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.825 * [taylor]: Taking taylor expansion of im in im
5.825 * [backup-simplify]: Simplify 0 into 0
5.825 * [backup-simplify]: Simplify 1 into 1
5.825 * [backup-simplify]: Simplify (/ 1 1) into 1
5.825 * [backup-simplify]: Simplify (* 1 1) into 1
5.825 * [backup-simplify]: Simplify (+ 0 1) into 1
5.826 * [backup-simplify]: Simplify (sqrt 1) into 1
5.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.827 * [backup-simplify]: Simplify (+ 0 0) into 0
5.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.828 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.828 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.828 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.828 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.828 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.828 * [taylor]: Taking taylor expansion of re in re
5.828 * [backup-simplify]: Simplify 0 into 0
5.828 * [backup-simplify]: Simplify 1 into 1
5.828 * [backup-simplify]: Simplify (/ 1 1) into 1
5.828 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.828 * [taylor]: Taking taylor expansion of re in re
5.828 * [backup-simplify]: Simplify 0 into 0
5.828 * [backup-simplify]: Simplify 1 into 1
5.829 * [backup-simplify]: Simplify (/ 1 1) into 1
5.829 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.829 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.829 * [taylor]: Taking taylor expansion of im in re
5.829 * [backup-simplify]: Simplify im into im
5.829 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.829 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.829 * [taylor]: Taking taylor expansion of im in re
5.829 * [backup-simplify]: Simplify im into im
5.829 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.829 * [backup-simplify]: Simplify (* 1 1) into 1
5.829 * [backup-simplify]: Simplify (+ 1 0) into 1
5.829 * [backup-simplify]: Simplify (sqrt 1) into 1
5.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.831 * [backup-simplify]: Simplify (+ 0 0) into 0
5.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.831 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.832 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.832 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.832 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.832 * [taylor]: Taking taylor expansion of re in re
5.832 * [backup-simplify]: Simplify 0 into 0
5.832 * [backup-simplify]: Simplify 1 into 1
5.832 * [backup-simplify]: Simplify (/ 1 1) into 1
5.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.832 * [taylor]: Taking taylor expansion of re in re
5.832 * [backup-simplify]: Simplify 0 into 0
5.832 * [backup-simplify]: Simplify 1 into 1
5.832 * [backup-simplify]: Simplify (/ 1 1) into 1
5.832 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.832 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.832 * [taylor]: Taking taylor expansion of im in re
5.832 * [backup-simplify]: Simplify im into im
5.832 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.832 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.832 * [taylor]: Taking taylor expansion of im in re
5.832 * [backup-simplify]: Simplify im into im
5.832 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.833 * [backup-simplify]: Simplify (* 1 1) into 1
5.833 * [backup-simplify]: Simplify (+ 1 0) into 1
5.833 * [backup-simplify]: Simplify (sqrt 1) into 1
5.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.835 * [backup-simplify]: Simplify (+ 0 0) into 0
5.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.835 * [taylor]: Taking taylor expansion of 1 in im
5.835 * [backup-simplify]: Simplify 1 into 1
5.835 * [taylor]: Taking taylor expansion of 0 in im
5.835 * [backup-simplify]: Simplify 0 into 0
5.835 * [backup-simplify]: Simplify 1 into 1
5.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.837 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.837 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.838 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.838 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.838 * [taylor]: Taking taylor expansion of 1/2 in im
5.838 * [backup-simplify]: Simplify 1/2 into 1/2
5.838 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.838 * [taylor]: Taking taylor expansion of im in im
5.838 * [backup-simplify]: Simplify 0 into 0
5.838 * [backup-simplify]: Simplify 1 into 1
5.838 * [backup-simplify]: Simplify (* 1 1) into 1
5.839 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.839 * [backup-simplify]: Simplify 0 into 0
5.839 * [backup-simplify]: Simplify 0 into 0
5.840 * [backup-simplify]: Simplify 0 into 0
5.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.841 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.842 * [backup-simplify]: Simplify (+ 0 0) into 0
5.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.842 * [taylor]: Taking taylor expansion of 0 in im
5.842 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 0 into 0
5.844 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.844 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
5.844 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
5.844 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.844 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.844 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.844 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.844 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.844 * [taylor]: Taking taylor expansion of -1 in im
5.844 * [backup-simplify]: Simplify -1 into -1
5.844 * [taylor]: Taking taylor expansion of re in im
5.844 * [backup-simplify]: Simplify re into re
5.844 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.844 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.844 * [taylor]: Taking taylor expansion of -1 in im
5.844 * [backup-simplify]: Simplify -1 into -1
5.844 * [taylor]: Taking taylor expansion of re in im
5.844 * [backup-simplify]: Simplify re into re
5.844 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.844 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.844 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.844 * [taylor]: Taking taylor expansion of -1 in im
5.844 * [backup-simplify]: Simplify -1 into -1
5.844 * [taylor]: Taking taylor expansion of im in im
5.844 * [backup-simplify]: Simplify 0 into 0
5.844 * [backup-simplify]: Simplify 1 into 1
5.845 * [backup-simplify]: Simplify (/ -1 1) into -1
5.845 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.845 * [taylor]: Taking taylor expansion of -1 in im
5.845 * [backup-simplify]: Simplify -1 into -1
5.845 * [taylor]: Taking taylor expansion of im in im
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify 1 into 1
5.845 * [backup-simplify]: Simplify (/ -1 1) into -1
5.845 * [backup-simplify]: Simplify (* -1 -1) into 1
5.845 * [backup-simplify]: Simplify (+ 0 1) into 1
5.846 * [backup-simplify]: Simplify (sqrt 1) into 1
5.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.847 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.848 * [backup-simplify]: Simplify (+ 0 0) into 0
5.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.849 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.849 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.849 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.849 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.849 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.849 * [taylor]: Taking taylor expansion of -1 in re
5.849 * [backup-simplify]: Simplify -1 into -1
5.849 * [taylor]: Taking taylor expansion of re in re
5.849 * [backup-simplify]: Simplify 0 into 0
5.849 * [backup-simplify]: Simplify 1 into 1
5.849 * [backup-simplify]: Simplify (/ -1 1) into -1
5.849 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.850 * [taylor]: Taking taylor expansion of -1 in re
5.850 * [backup-simplify]: Simplify -1 into -1
5.850 * [taylor]: Taking taylor expansion of re in re
5.850 * [backup-simplify]: Simplify 0 into 0
5.850 * [backup-simplify]: Simplify 1 into 1
5.850 * [backup-simplify]: Simplify (/ -1 1) into -1
5.850 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.850 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.850 * [taylor]: Taking taylor expansion of -1 in re
5.850 * [backup-simplify]: Simplify -1 into -1
5.850 * [taylor]: Taking taylor expansion of im in re
5.850 * [backup-simplify]: Simplify im into im
5.850 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.850 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.850 * [taylor]: Taking taylor expansion of -1 in re
5.850 * [backup-simplify]: Simplify -1 into -1
5.851 * [taylor]: Taking taylor expansion of im in re
5.851 * [backup-simplify]: Simplify im into im
5.851 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.851 * [backup-simplify]: Simplify (* -1 -1) into 1
5.851 * [backup-simplify]: Simplify (+ 1 0) into 1
5.852 * [backup-simplify]: Simplify (sqrt 1) into 1
5.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.854 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.855 * [backup-simplify]: Simplify (+ 0 0) into 0
5.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.855 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.856 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.856 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.856 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.856 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.856 * [taylor]: Taking taylor expansion of -1 in re
5.856 * [backup-simplify]: Simplify -1 into -1
5.856 * [taylor]: Taking taylor expansion of re in re
5.856 * [backup-simplify]: Simplify 0 into 0
5.856 * [backup-simplify]: Simplify 1 into 1
5.856 * [backup-simplify]: Simplify (/ -1 1) into -1
5.856 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.856 * [taylor]: Taking taylor expansion of -1 in re
5.856 * [backup-simplify]: Simplify -1 into -1
5.857 * [taylor]: Taking taylor expansion of re in re
5.857 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify 1 into 1
5.857 * [backup-simplify]: Simplify (/ -1 1) into -1
5.857 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.857 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.857 * [taylor]: Taking taylor expansion of -1 in re
5.857 * [backup-simplify]: Simplify -1 into -1
5.857 * [taylor]: Taking taylor expansion of im in re
5.857 * [backup-simplify]: Simplify im into im
5.857 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.857 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.857 * [taylor]: Taking taylor expansion of -1 in re
5.857 * [backup-simplify]: Simplify -1 into -1
5.857 * [taylor]: Taking taylor expansion of im in re
5.857 * [backup-simplify]: Simplify im into im
5.858 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.858 * [backup-simplify]: Simplify (* -1 -1) into 1
5.858 * [backup-simplify]: Simplify (+ 1 0) into 1
5.859 * [backup-simplify]: Simplify (sqrt 1) into 1
5.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.862 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.862 * [backup-simplify]: Simplify (+ 0 0) into 0
5.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.863 * [taylor]: Taking taylor expansion of 1 in im
5.863 * [backup-simplify]: Simplify 1 into 1
5.863 * [taylor]: Taking taylor expansion of 0 in im
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 1 into 1
5.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.866 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.866 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.866 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.868 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.868 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.868 * [taylor]: Taking taylor expansion of 1/2 in im
5.868 * [backup-simplify]: Simplify 1/2 into 1/2
5.868 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.868 * [taylor]: Taking taylor expansion of im in im
5.868 * [backup-simplify]: Simplify 0 into 0
5.868 * [backup-simplify]: Simplify 1 into 1
5.868 * [backup-simplify]: Simplify (* 1 1) into 1
5.869 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.870 * [backup-simplify]: Simplify 0 into 0
5.870 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 0 into 0
5.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.874 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.874 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.874 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.874 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.875 * [backup-simplify]: Simplify (+ 0 0) into 0
5.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.875 * [taylor]: Taking taylor expansion of 0 in im
5.875 * [backup-simplify]: Simplify 0 into 0
5.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.878 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2 1)
5.878 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
5.878 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
5.878 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.878 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.878 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.878 * [taylor]: Taking taylor expansion of (* re re) in im
5.878 * [taylor]: Taking taylor expansion of re in im
5.878 * [backup-simplify]: Simplify re into re
5.878 * [taylor]: Taking taylor expansion of re in im
5.878 * [backup-simplify]: Simplify re into re
5.878 * [taylor]: Taking taylor expansion of (* im im) in im
5.878 * [taylor]: Taking taylor expansion of im in im
5.878 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify 1 into 1
5.878 * [taylor]: Taking taylor expansion of im in im
5.878 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify 1 into 1
5.878 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.879 * [backup-simplify]: Simplify (* 0 0) into 0
5.879 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.879 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.879 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.880 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.880 * [backup-simplify]: Simplify (+ 0 0) into 0
5.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.880 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.881 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.881 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.881 * [taylor]: Taking taylor expansion of (* re re) in re
5.881 * [taylor]: Taking taylor expansion of re in re
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 1 into 1
5.881 * [taylor]: Taking taylor expansion of re in re
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 1 into 1
5.881 * [taylor]: Taking taylor expansion of (* im im) in re
5.881 * [taylor]: Taking taylor expansion of im in re
5.881 * [backup-simplify]: Simplify im into im
5.881 * [taylor]: Taking taylor expansion of im in re
5.881 * [backup-simplify]: Simplify im into im
5.881 * [backup-simplify]: Simplify (* 0 0) into 0
5.881 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.882 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.882 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.882 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.882 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.883 * [backup-simplify]: Simplify (+ 0 0) into 0
5.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.883 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.883 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.883 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.883 * [taylor]: Taking taylor expansion of (* re re) in re
5.883 * [taylor]: Taking taylor expansion of re in re
5.883 * [backup-simplify]: Simplify 0 into 0
5.883 * [backup-simplify]: Simplify 1 into 1
5.883 * [taylor]: Taking taylor expansion of re in re
5.883 * [backup-simplify]: Simplify 0 into 0
5.883 * [backup-simplify]: Simplify 1 into 1
5.883 * [taylor]: Taking taylor expansion of (* im im) in re
5.883 * [taylor]: Taking taylor expansion of im in re
5.883 * [backup-simplify]: Simplify im into im
5.884 * [taylor]: Taking taylor expansion of im in re
5.884 * [backup-simplify]: Simplify im into im
5.884 * [backup-simplify]: Simplify (* 0 0) into 0
5.884 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.884 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.884 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.885 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.885 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.885 * [backup-simplify]: Simplify (+ 0 0) into 0
5.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.886 * [taylor]: Taking taylor expansion of im in im
5.886 * [backup-simplify]: Simplify 0 into 0
5.886 * [backup-simplify]: Simplify 1 into 1
5.886 * [backup-simplify]: Simplify 0 into 0
5.886 * [taylor]: Taking taylor expansion of 0 in im
5.886 * [backup-simplify]: Simplify 0 into 0
5.886 * [backup-simplify]: Simplify 0 into 0
5.886 * [backup-simplify]: Simplify 1 into 1
5.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.887 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.888 * [backup-simplify]: Simplify (+ 1 0) into 1
5.888 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.889 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.889 * [taylor]: Taking taylor expansion of 1/2 in im
5.889 * [backup-simplify]: Simplify 1/2 into 1/2
5.889 * [taylor]: Taking taylor expansion of im in im
5.889 * [backup-simplify]: Simplify 0 into 0
5.889 * [backup-simplify]: Simplify 1 into 1
5.889 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.890 * [backup-simplify]: Simplify 0 into 0
5.890 * [backup-simplify]: Simplify 0 into 0
5.890 * [backup-simplify]: Simplify 0 into 0
5.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.892 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.893 * [backup-simplify]: Simplify (+ 0 0) into 0
5.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.893 * [taylor]: Taking taylor expansion of 0 in im
5.893 * [backup-simplify]: Simplify 0 into 0
5.893 * [backup-simplify]: Simplify 0 into 0
5.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.894 * [backup-simplify]: Simplify 0 into 0
5.894 * [backup-simplify]: Simplify 0 into 0
5.894 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.894 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
5.894 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
5.894 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.895 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.895 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.895 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.895 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.895 * [taylor]: Taking taylor expansion of re in im
5.895 * [backup-simplify]: Simplify re into re
5.895 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.895 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.895 * [taylor]: Taking taylor expansion of re in im
5.895 * [backup-simplify]: Simplify re into re
5.895 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.895 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.895 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.895 * [taylor]: Taking taylor expansion of im in im
5.895 * [backup-simplify]: Simplify 0 into 0
5.895 * [backup-simplify]: Simplify 1 into 1
5.896 * [backup-simplify]: Simplify (/ 1 1) into 1
5.896 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.896 * [taylor]: Taking taylor expansion of im in im
5.896 * [backup-simplify]: Simplify 0 into 0
5.896 * [backup-simplify]: Simplify 1 into 1
5.896 * [backup-simplify]: Simplify (/ 1 1) into 1
5.896 * [backup-simplify]: Simplify (* 1 1) into 1
5.897 * [backup-simplify]: Simplify (+ 0 1) into 1
5.897 * [backup-simplify]: Simplify (sqrt 1) into 1
5.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.900 * [backup-simplify]: Simplify (+ 0 0) into 0
5.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.901 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.901 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.901 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.901 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.901 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.901 * [taylor]: Taking taylor expansion of re in re
5.901 * [backup-simplify]: Simplify 0 into 0
5.901 * [backup-simplify]: Simplify 1 into 1
5.901 * [backup-simplify]: Simplify (/ 1 1) into 1
5.901 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.901 * [taylor]: Taking taylor expansion of re in re
5.901 * [backup-simplify]: Simplify 0 into 0
5.901 * [backup-simplify]: Simplify 1 into 1
5.902 * [backup-simplify]: Simplify (/ 1 1) into 1
5.902 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.902 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.902 * [taylor]: Taking taylor expansion of im in re
5.902 * [backup-simplify]: Simplify im into im
5.902 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.902 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.902 * [taylor]: Taking taylor expansion of im in re
5.902 * [backup-simplify]: Simplify im into im
5.902 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.903 * [backup-simplify]: Simplify (* 1 1) into 1
5.903 * [backup-simplify]: Simplify (+ 1 0) into 1
5.903 * [backup-simplify]: Simplify (sqrt 1) into 1
5.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.906 * [backup-simplify]: Simplify (+ 0 0) into 0
5.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.907 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.907 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.907 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.907 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.907 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.907 * [taylor]: Taking taylor expansion of re in re
5.907 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify 1 into 1
5.908 * [backup-simplify]: Simplify (/ 1 1) into 1
5.908 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.908 * [taylor]: Taking taylor expansion of re in re
5.908 * [backup-simplify]: Simplify 0 into 0
5.908 * [backup-simplify]: Simplify 1 into 1
5.908 * [backup-simplify]: Simplify (/ 1 1) into 1
5.908 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.908 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.908 * [taylor]: Taking taylor expansion of im in re
5.908 * [backup-simplify]: Simplify im into im
5.909 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.909 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.909 * [taylor]: Taking taylor expansion of im in re
5.909 * [backup-simplify]: Simplify im into im
5.909 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.918 * [backup-simplify]: Simplify (* 1 1) into 1
5.919 * [backup-simplify]: Simplify (+ 1 0) into 1
5.919 * [backup-simplify]: Simplify (sqrt 1) into 1
5.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.922 * [backup-simplify]: Simplify (+ 0 0) into 0
5.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.923 * [taylor]: Taking taylor expansion of 1 in im
5.923 * [backup-simplify]: Simplify 1 into 1
5.923 * [taylor]: Taking taylor expansion of 0 in im
5.923 * [backup-simplify]: Simplify 0 into 0
5.923 * [backup-simplify]: Simplify 1 into 1
5.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.926 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.926 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.927 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.928 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.928 * [taylor]: Taking taylor expansion of 1/2 in im
5.928 * [backup-simplify]: Simplify 1/2 into 1/2
5.928 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.928 * [taylor]: Taking taylor expansion of im in im
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify 1 into 1
5.928 * [backup-simplify]: Simplify (* 1 1) into 1
5.929 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.934 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.934 * [backup-simplify]: Simplify (+ 0 0) into 0
5.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.935 * [taylor]: Taking taylor expansion of 0 in im
5.935 * [backup-simplify]: Simplify 0 into 0
5.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.937 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.937 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
5.937 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
5.937 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.938 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.938 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.938 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.938 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.938 * [taylor]: Taking taylor expansion of -1 in im
5.938 * [backup-simplify]: Simplify -1 into -1
5.938 * [taylor]: Taking taylor expansion of re in im
5.938 * [backup-simplify]: Simplify re into re
5.938 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.938 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.938 * [taylor]: Taking taylor expansion of -1 in im
5.938 * [backup-simplify]: Simplify -1 into -1
5.938 * [taylor]: Taking taylor expansion of re in im
5.938 * [backup-simplify]: Simplify re into re
5.938 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.938 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.938 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.938 * [taylor]: Taking taylor expansion of -1 in im
5.938 * [backup-simplify]: Simplify -1 into -1
5.938 * [taylor]: Taking taylor expansion of im in im
5.938 * [backup-simplify]: Simplify 0 into 0
5.938 * [backup-simplify]: Simplify 1 into 1
5.939 * [backup-simplify]: Simplify (/ -1 1) into -1
5.939 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.939 * [taylor]: Taking taylor expansion of -1 in im
5.939 * [backup-simplify]: Simplify -1 into -1
5.939 * [taylor]: Taking taylor expansion of im in im
5.939 * [backup-simplify]: Simplify 0 into 0
5.939 * [backup-simplify]: Simplify 1 into 1
5.939 * [backup-simplify]: Simplify (/ -1 1) into -1
5.940 * [backup-simplify]: Simplify (* -1 -1) into 1
5.940 * [backup-simplify]: Simplify (+ 0 1) into 1
5.941 * [backup-simplify]: Simplify (sqrt 1) into 1
5.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.944 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.944 * [backup-simplify]: Simplify (+ 0 0) into 0
5.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.945 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.945 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.945 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.945 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.945 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.945 * [taylor]: Taking taylor expansion of -1 in re
5.945 * [backup-simplify]: Simplify -1 into -1
5.945 * [taylor]: Taking taylor expansion of re in re
5.945 * [backup-simplify]: Simplify 0 into 0
5.945 * [backup-simplify]: Simplify 1 into 1
5.946 * [backup-simplify]: Simplify (/ -1 1) into -1
5.946 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.946 * [taylor]: Taking taylor expansion of -1 in re
5.946 * [backup-simplify]: Simplify -1 into -1
5.946 * [taylor]: Taking taylor expansion of re in re
5.946 * [backup-simplify]: Simplify 0 into 0
5.946 * [backup-simplify]: Simplify 1 into 1
5.946 * [backup-simplify]: Simplify (/ -1 1) into -1
5.946 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.946 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.946 * [taylor]: Taking taylor expansion of -1 in re
5.946 * [backup-simplify]: Simplify -1 into -1
5.946 * [taylor]: Taking taylor expansion of im in re
5.946 * [backup-simplify]: Simplify im into im
5.947 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.947 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.947 * [taylor]: Taking taylor expansion of -1 in re
5.947 * [backup-simplify]: Simplify -1 into -1
5.947 * [taylor]: Taking taylor expansion of im in re
5.947 * [backup-simplify]: Simplify im into im
5.947 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.947 * [backup-simplify]: Simplify (* -1 -1) into 1
5.948 * [backup-simplify]: Simplify (+ 1 0) into 1
5.948 * [backup-simplify]: Simplify (sqrt 1) into 1
5.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.950 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.951 * [backup-simplify]: Simplify (+ 0 0) into 0
5.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.952 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.952 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.952 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.952 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.952 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.952 * [taylor]: Taking taylor expansion of -1 in re
5.952 * [backup-simplify]: Simplify -1 into -1
5.952 * [taylor]: Taking taylor expansion of re in re
5.952 * [backup-simplify]: Simplify 0 into 0
5.952 * [backup-simplify]: Simplify 1 into 1
5.952 * [backup-simplify]: Simplify (/ -1 1) into -1
5.953 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.953 * [taylor]: Taking taylor expansion of -1 in re
5.953 * [backup-simplify]: Simplify -1 into -1
5.953 * [taylor]: Taking taylor expansion of re in re
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [backup-simplify]: Simplify 1 into 1
5.953 * [backup-simplify]: Simplify (/ -1 1) into -1
5.953 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.953 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.953 * [taylor]: Taking taylor expansion of -1 in re
5.953 * [backup-simplify]: Simplify -1 into -1
5.953 * [taylor]: Taking taylor expansion of im in re
5.953 * [backup-simplify]: Simplify im into im
5.953 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.953 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.953 * [taylor]: Taking taylor expansion of -1 in re
5.954 * [backup-simplify]: Simplify -1 into -1
5.954 * [taylor]: Taking taylor expansion of im in re
5.954 * [backup-simplify]: Simplify im into im
5.954 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.954 * [backup-simplify]: Simplify (* -1 -1) into 1
5.954 * [backup-simplify]: Simplify (+ 1 0) into 1
5.955 * [backup-simplify]: Simplify (sqrt 1) into 1
5.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.957 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.958 * [backup-simplify]: Simplify (+ 0 0) into 0
5.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.958 * [taylor]: Taking taylor expansion of 1 in im
5.959 * [backup-simplify]: Simplify 1 into 1
5.959 * [taylor]: Taking taylor expansion of 0 in im
5.959 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify 1 into 1
5.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.962 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.962 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.962 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.963 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.964 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.964 * [taylor]: Taking taylor expansion of 1/2 in im
5.964 * [backup-simplify]: Simplify 1/2 into 1/2
5.964 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.964 * [taylor]: Taking taylor expansion of im in im
5.964 * [backup-simplify]: Simplify 0 into 0
5.964 * [backup-simplify]: Simplify 1 into 1
5.964 * [backup-simplify]: Simplify (* 1 1) into 1
5.965 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify 0 into 0
5.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.970 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.970 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.970 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.970 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.971 * [backup-simplify]: Simplify (+ 0 0) into 0
5.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.971 * [taylor]: Taking taylor expansion of 0 in im
5.971 * [backup-simplify]: Simplify 0 into 0
5.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.973 * [backup-simplify]: Simplify 0 into 0
5.973 * [backup-simplify]: Simplify 0 into 0
5.973 * [backup-simplify]: Simplify 0 into 0
5.973 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.974 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1)
5.974 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
5.974 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
5.974 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.974 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.974 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.974 * [taylor]: Taking taylor expansion of (* re re) in im
5.974 * [taylor]: Taking taylor expansion of re in im
5.974 * [backup-simplify]: Simplify re into re
5.974 * [taylor]: Taking taylor expansion of re in im
5.974 * [backup-simplify]: Simplify re into re
5.974 * [taylor]: Taking taylor expansion of (* im im) in im
5.974 * [taylor]: Taking taylor expansion of im in im
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify 1 into 1
5.974 * [taylor]: Taking taylor expansion of im in im
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify 1 into 1
5.974 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.975 * [backup-simplify]: Simplify (* 0 0) into 0
5.975 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.975 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.975 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.976 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.976 * [backup-simplify]: Simplify (+ 0 0) into 0
5.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.976 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.976 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.976 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.977 * [taylor]: Taking taylor expansion of (* re re) in re
5.977 * [taylor]: Taking taylor expansion of re in re
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 1 into 1
5.977 * [taylor]: Taking taylor expansion of re in re
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 1 into 1
5.977 * [taylor]: Taking taylor expansion of (* im im) in re
5.977 * [taylor]: Taking taylor expansion of im in re
5.977 * [backup-simplify]: Simplify im into im
5.977 * [taylor]: Taking taylor expansion of im in re
5.977 * [backup-simplify]: Simplify im into im
5.977 * [backup-simplify]: Simplify (* 0 0) into 0
5.977 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.977 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.978 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.978 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.978 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.979 * [backup-simplify]: Simplify (+ 0 0) into 0
5.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.979 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.979 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.979 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.979 * [taylor]: Taking taylor expansion of (* re re) in re
5.979 * [taylor]: Taking taylor expansion of re in re
5.979 * [backup-simplify]: Simplify 0 into 0
5.979 * [backup-simplify]: Simplify 1 into 1
5.979 * [taylor]: Taking taylor expansion of re in re
5.979 * [backup-simplify]: Simplify 0 into 0
5.979 * [backup-simplify]: Simplify 1 into 1
5.979 * [taylor]: Taking taylor expansion of (* im im) in re
5.979 * [taylor]: Taking taylor expansion of im in re
5.979 * [backup-simplify]: Simplify im into im
5.979 * [taylor]: Taking taylor expansion of im in re
5.979 * [backup-simplify]: Simplify im into im
5.980 * [backup-simplify]: Simplify (* 0 0) into 0
5.980 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.980 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.980 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.981 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.981 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.981 * [backup-simplify]: Simplify (+ 0 0) into 0
5.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.982 * [taylor]: Taking taylor expansion of im in im
5.982 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 1 into 1
5.982 * [backup-simplify]: Simplify 0 into 0
5.982 * [taylor]: Taking taylor expansion of 0 in im
5.982 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 1 into 1
5.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.983 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.984 * [backup-simplify]: Simplify (+ 1 0) into 1
5.985 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.985 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.985 * [taylor]: Taking taylor expansion of 1/2 in im
5.985 * [backup-simplify]: Simplify 1/2 into 1/2
5.985 * [taylor]: Taking taylor expansion of im in im
5.985 * [backup-simplify]: Simplify 0 into 0
5.985 * [backup-simplify]: Simplify 1 into 1
5.985 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.986 * [backup-simplify]: Simplify 0 into 0
5.986 * [backup-simplify]: Simplify 0 into 0
5.986 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.988 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.988 * [backup-simplify]: Simplify (+ 0 0) into 0
5.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.989 * [taylor]: Taking taylor expansion of 0 in im
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify 0 into 0
5.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.990 * [backup-simplify]: Simplify 0 into 0
5.990 * [backup-simplify]: Simplify 0 into 0
5.990 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.990 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
5.990 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
5.990 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.990 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.990 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.991 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.991 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.991 * [taylor]: Taking taylor expansion of re in im
5.991 * [backup-simplify]: Simplify re into re
5.991 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.991 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.991 * [taylor]: Taking taylor expansion of re in im
5.991 * [backup-simplify]: Simplify re into re
5.991 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.991 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.991 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.991 * [taylor]: Taking taylor expansion of im in im
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [backup-simplify]: Simplify 1 into 1
5.991 * [backup-simplify]: Simplify (/ 1 1) into 1
5.991 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.992 * [taylor]: Taking taylor expansion of im in im
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 1 into 1
5.992 * [backup-simplify]: Simplify (/ 1 1) into 1
5.992 * [backup-simplify]: Simplify (* 1 1) into 1
5.993 * [backup-simplify]: Simplify (+ 0 1) into 1
5.993 * [backup-simplify]: Simplify (sqrt 1) into 1
5.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.995 * [backup-simplify]: Simplify (+ 0 0) into 0
5.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.996 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.996 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.996 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.996 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.996 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.996 * [taylor]: Taking taylor expansion of re in re
5.996 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify 1 into 1
5.996 * [backup-simplify]: Simplify (/ 1 1) into 1
5.996 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.996 * [taylor]: Taking taylor expansion of re in re
5.996 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify 1 into 1
5.997 * [backup-simplify]: Simplify (/ 1 1) into 1
5.997 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.997 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.997 * [taylor]: Taking taylor expansion of im in re
5.997 * [backup-simplify]: Simplify im into im
5.997 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.997 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.997 * [taylor]: Taking taylor expansion of im in re
5.997 * [backup-simplify]: Simplify im into im
5.997 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.997 * [backup-simplify]: Simplify (* 1 1) into 1
5.997 * [backup-simplify]: Simplify (+ 1 0) into 1
5.998 * [backup-simplify]: Simplify (sqrt 1) into 1
5.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.999 * [backup-simplify]: Simplify (+ 0 0) into 0
5.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.999 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.000 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.000 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.000 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.000 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.000 * [taylor]: Taking taylor expansion of re in re
6.000 * [backup-simplify]: Simplify 0 into 0
6.000 * [backup-simplify]: Simplify 1 into 1
6.000 * [backup-simplify]: Simplify (/ 1 1) into 1
6.000 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.000 * [taylor]: Taking taylor expansion of re in re
6.000 * [backup-simplify]: Simplify 0 into 0
6.000 * [backup-simplify]: Simplify 1 into 1
6.000 * [backup-simplify]: Simplify (/ 1 1) into 1
6.000 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.000 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.000 * [taylor]: Taking taylor expansion of im in re
6.000 * [backup-simplify]: Simplify im into im
6.000 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.000 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.000 * [taylor]: Taking taylor expansion of im in re
6.000 * [backup-simplify]: Simplify im into im
6.000 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.001 * [backup-simplify]: Simplify (* 1 1) into 1
6.001 * [backup-simplify]: Simplify (+ 1 0) into 1
6.001 * [backup-simplify]: Simplify (sqrt 1) into 1
6.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.003 * [backup-simplify]: Simplify (+ 0 0) into 0
6.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.003 * [taylor]: Taking taylor expansion of 1 in im
6.003 * [backup-simplify]: Simplify 1 into 1
6.003 * [taylor]: Taking taylor expansion of 0 in im
6.003 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify 1 into 1
6.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.005 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.005 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.006 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.006 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.006 * [taylor]: Taking taylor expansion of 1/2 in im
6.006 * [backup-simplify]: Simplify 1/2 into 1/2
6.006 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.006 * [taylor]: Taking taylor expansion of im in im
6.006 * [backup-simplify]: Simplify 0 into 0
6.006 * [backup-simplify]: Simplify 1 into 1
6.006 * [backup-simplify]: Simplify (* 1 1) into 1
6.007 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.008 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.009 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.010 * [backup-simplify]: Simplify (+ 0 0) into 0
6.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.010 * [taylor]: Taking taylor expansion of 0 in im
6.010 * [backup-simplify]: Simplify 0 into 0
6.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.011 * [backup-simplify]: Simplify 0 into 0
6.011 * [backup-simplify]: Simplify 0 into 0
6.011 * [backup-simplify]: Simplify 0 into 0
6.011 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.012 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
6.012 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
6.012 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.012 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.012 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.012 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.012 * [taylor]: Taking taylor expansion of -1 in im
6.012 * [backup-simplify]: Simplify -1 into -1
6.012 * [taylor]: Taking taylor expansion of re in im
6.012 * [backup-simplify]: Simplify re into re
6.012 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.012 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.012 * [taylor]: Taking taylor expansion of -1 in im
6.012 * [backup-simplify]: Simplify -1 into -1
6.012 * [taylor]: Taking taylor expansion of re in im
6.012 * [backup-simplify]: Simplify re into re
6.012 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.012 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.012 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.012 * [taylor]: Taking taylor expansion of -1 in im
6.012 * [backup-simplify]: Simplify -1 into -1
6.012 * [taylor]: Taking taylor expansion of im in im
6.012 * [backup-simplify]: Simplify 0 into 0
6.012 * [backup-simplify]: Simplify 1 into 1
6.012 * [backup-simplify]: Simplify (/ -1 1) into -1
6.012 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.012 * [taylor]: Taking taylor expansion of -1 in im
6.012 * [backup-simplify]: Simplify -1 into -1
6.012 * [taylor]: Taking taylor expansion of im in im
6.012 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify 1 into 1
6.013 * [backup-simplify]: Simplify (/ -1 1) into -1
6.013 * [backup-simplify]: Simplify (* -1 -1) into 1
6.013 * [backup-simplify]: Simplify (+ 0 1) into 1
6.014 * [backup-simplify]: Simplify (sqrt 1) into 1
6.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.015 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.015 * [backup-simplify]: Simplify (+ 0 0) into 0
6.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.016 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.016 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.016 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.016 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.016 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.016 * [taylor]: Taking taylor expansion of -1 in re
6.016 * [backup-simplify]: Simplify -1 into -1
6.016 * [taylor]: Taking taylor expansion of re in re
6.016 * [backup-simplify]: Simplify 0 into 0
6.016 * [backup-simplify]: Simplify 1 into 1
6.016 * [backup-simplify]: Simplify (/ -1 1) into -1
6.016 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.016 * [taylor]: Taking taylor expansion of -1 in re
6.016 * [backup-simplify]: Simplify -1 into -1
6.016 * [taylor]: Taking taylor expansion of re in re
6.016 * [backup-simplify]: Simplify 0 into 0
6.016 * [backup-simplify]: Simplify 1 into 1
6.016 * [backup-simplify]: Simplify (/ -1 1) into -1
6.017 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.017 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.017 * [taylor]: Taking taylor expansion of -1 in re
6.017 * [backup-simplify]: Simplify -1 into -1
6.017 * [taylor]: Taking taylor expansion of im in re
6.017 * [backup-simplify]: Simplify im into im
6.017 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.017 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.017 * [taylor]: Taking taylor expansion of -1 in re
6.017 * [backup-simplify]: Simplify -1 into -1
6.017 * [taylor]: Taking taylor expansion of im in re
6.017 * [backup-simplify]: Simplify im into im
6.017 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.017 * [backup-simplify]: Simplify (* -1 -1) into 1
6.017 * [backup-simplify]: Simplify (+ 1 0) into 1
6.017 * [backup-simplify]: Simplify (sqrt 1) into 1
6.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.019 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.019 * [backup-simplify]: Simplify (+ 0 0) into 0
6.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.020 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.020 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.020 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.020 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.020 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.020 * [taylor]: Taking taylor expansion of -1 in re
6.020 * [backup-simplify]: Simplify -1 into -1
6.020 * [taylor]: Taking taylor expansion of re in re
6.020 * [backup-simplify]: Simplify 0 into 0
6.020 * [backup-simplify]: Simplify 1 into 1
6.020 * [backup-simplify]: Simplify (/ -1 1) into -1
6.020 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.020 * [taylor]: Taking taylor expansion of -1 in re
6.020 * [backup-simplify]: Simplify -1 into -1
6.020 * [taylor]: Taking taylor expansion of re in re
6.020 * [backup-simplify]: Simplify 0 into 0
6.020 * [backup-simplify]: Simplify 1 into 1
6.021 * [backup-simplify]: Simplify (/ -1 1) into -1
6.021 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.021 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.021 * [taylor]: Taking taylor expansion of -1 in re
6.021 * [backup-simplify]: Simplify -1 into -1
6.021 * [taylor]: Taking taylor expansion of im in re
6.021 * [backup-simplify]: Simplify im into im
6.021 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.021 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.021 * [taylor]: Taking taylor expansion of -1 in re
6.021 * [backup-simplify]: Simplify -1 into -1
6.021 * [taylor]: Taking taylor expansion of im in re
6.021 * [backup-simplify]: Simplify im into im
6.021 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.021 * [backup-simplify]: Simplify (* -1 -1) into 1
6.022 * [backup-simplify]: Simplify (+ 1 0) into 1
6.022 * [backup-simplify]: Simplify (sqrt 1) into 1
6.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.023 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.023 * [backup-simplify]: Simplify (+ 0 0) into 0
6.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.024 * [taylor]: Taking taylor expansion of 1 in im
6.024 * [backup-simplify]: Simplify 1 into 1
6.024 * [taylor]: Taking taylor expansion of 0 in im
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify 1 into 1
6.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.026 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.026 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.026 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.027 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.027 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.027 * [taylor]: Taking taylor expansion of 1/2 in im
6.027 * [backup-simplify]: Simplify 1/2 into 1/2
6.027 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.027 * [taylor]: Taking taylor expansion of im in im
6.027 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify 1 into 1
6.028 * [backup-simplify]: Simplify (* 1 1) into 1
6.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify 0 into 0
6.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.033 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.033 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.033 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.034 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.034 * [backup-simplify]: Simplify (+ 0 0) into 0
6.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.035 * [taylor]: Taking taylor expansion of 0 in im
6.035 * [backup-simplify]: Simplify 0 into 0
6.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.037 * * * [progress]: simplifying candidates
6.039 * [simplify]: Simplifying:
  (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (log (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (exp (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))))
  (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3))
  (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im))))))
  (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (- re (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (hypot re im) (hypot re im))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (hypot re im) (hypot re im))
  (+ 1 1)
  (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
  (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))
  (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 1 1)
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) 1)
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
6.042 * * [simplify]: Extracting # 0 : cost  0
6.043 * * [simplify]: Extracting # 1 : cost  0
6.043 * * [simplify]: Extracting # 2 : cost  0
6.043 * * [simplify]: Extracting # 3 : cost  0
6.043 * * [simplify]: Extracting # 4 : cost  0
6.044 * * [simplify]: Extracting # 5 : cost  0
6.044 * * [simplify]: Extracting # 6 : cost  0
6.044 * * [simplify]: iteration  0 :  87  enodes  (cost  990 )
6.093 * * [simplify]: Extracting # 0 : cost  0
6.094 * * [simplify]: Extracting # 1 : cost  0
6.094 * * [simplify]: Extracting # 2 : cost  0
6.094 * * [simplify]: Extracting # 3 : cost  0
6.094 * * [simplify]: Extracting # 4 : cost  0
6.094 * * [simplify]: iteration  1 :  166  enodes  (cost  533 )
6.143 * * [simplify]: Extracting # 0 : cost  0
6.144 * * [simplify]: Extracting # 1 : cost  0
6.145 * * [simplify]: Extracting # 2 : cost  0
6.146 * * [simplify]: Extracting # 3 : cost  0
6.147 * * [simplify]: iteration  2 :  409  enodes  (cost  501 )
6.485 * * [simplify]: Extracting # 0 : cost  0
6.486 * * [simplify]: Extracting # 1 : cost  0
6.488 * * [simplify]: Extracting # 2 : cost  0
6.489 * * [simplify]: Extracting # 3 : cost  0
6.490 * * [simplify]: Extracting # 4 : cost  0
6.491 * * [simplify]: iteration  3 :  1155  enodes  (cost  485 )
8.805 * * [simplify]: Extracting # 0 : cost  0
8.810 * * [simplify]: Extracting # 1 : cost  0
8.814 * * [simplify]: Extracting # 2 : cost  0
8.818 * * [simplify]: Extracting # 3 : cost  0
8.821 * * [simplify]: Extracting # 4 : cost  0
8.825 * * [simplify]: iteration  4 :  4248  enodes  (cost  471 )
11.135 * * [simplify]: Extracting # 0 : cost  0
11.141 * * [simplify]: Extracting # 1 : cost  0
11.149 * * [simplify]: iteration done:  5000  enodes  (cost  471 )
11.150 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (pow (sqrt (hypot re im)) 4))
  (- re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  2
  1
  1
  (pow (sqrt (hypot re im)) 4)
  (hypot re im)
  (pow (sqrt (hypot re im)) 4)
  2
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (pow (hypot re im) 3)
  (pow (sqrt (cbrt (hypot re im))) 4)
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (pow (sqrt (hypot re im)) 4)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (pow (cbrt (sqrt (hypot re im))) 4)
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (pow (sqrt (cbrt (hypot re im))) 4)
  (cbrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  2
  1
  (pow (cbrt (sqrt (hypot re im))) 5)
  (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (pow (cbrt (sqrt (hypot re im))) 4)
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (hypot re im)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (hypot re im)
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (pow (sqrt (cbrt (hypot re im))) 4)
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (pow (sqrt (cbrt (hypot re im))) 4)
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
11.151 * * * [progress]: adding candidates to table
11.478 * * [progress]: iteration 3 / 4
11.478 * * * [progress]: picking best candidate
11.531 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.0))))>
11.531 * * * [progress]: localizing error
11.543 * * * [progress]: generating rewritten candidates
11.543 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1)
11.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1)
11.556 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
11.613 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1)
11.622 * * * [progress]: generating series expansions
11.622 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1)
11.623 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ re (hypot re im))
11.623 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
11.623 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
11.623 * [taylor]: Taking taylor expansion of re in im
11.623 * [backup-simplify]: Simplify re into re
11.623 * [taylor]: Taking taylor expansion of (hypot re im) in im
11.623 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.623 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
11.623 * [taylor]: Taking taylor expansion of (* re re) in im
11.623 * [taylor]: Taking taylor expansion of re in im
11.623 * [backup-simplify]: Simplify re into re
11.623 * [taylor]: Taking taylor expansion of re in im
11.623 * [backup-simplify]: Simplify re into re
11.623 * [taylor]: Taking taylor expansion of (* im im) in im
11.623 * [taylor]: Taking taylor expansion of im in im
11.623 * [backup-simplify]: Simplify 0 into 0
11.623 * [backup-simplify]: Simplify 1 into 1
11.623 * [taylor]: Taking taylor expansion of im in im
11.623 * [backup-simplify]: Simplify 0 into 0
11.623 * [backup-simplify]: Simplify 1 into 1
11.623 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.624 * [backup-simplify]: Simplify (* 0 0) into 0
11.624 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.624 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.624 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.624 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.625 * [backup-simplify]: Simplify (+ 0 0) into 0
11.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.625 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.625 * [taylor]: Taking taylor expansion of re in re
11.625 * [backup-simplify]: Simplify 0 into 0
11.625 * [backup-simplify]: Simplify 1 into 1
11.625 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.625 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.625 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.625 * [taylor]: Taking taylor expansion of (* re re) in re
11.625 * [taylor]: Taking taylor expansion of re in re
11.625 * [backup-simplify]: Simplify 0 into 0
11.625 * [backup-simplify]: Simplify 1 into 1
11.625 * [taylor]: Taking taylor expansion of re in re
11.625 * [backup-simplify]: Simplify 0 into 0
11.625 * [backup-simplify]: Simplify 1 into 1
11.625 * [taylor]: Taking taylor expansion of (* im im) in re
11.625 * [taylor]: Taking taylor expansion of im in re
11.625 * [backup-simplify]: Simplify im into im
11.625 * [taylor]: Taking taylor expansion of im in re
11.625 * [backup-simplify]: Simplify im into im
11.625 * [backup-simplify]: Simplify (* 0 0) into 0
11.626 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.626 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.626 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.626 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.626 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.626 * [backup-simplify]: Simplify (+ 0 0) into 0
11.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.627 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.627 * [taylor]: Taking taylor expansion of re in re
11.627 * [backup-simplify]: Simplify 0 into 0
11.627 * [backup-simplify]: Simplify 1 into 1
11.627 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.627 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.627 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.627 * [taylor]: Taking taylor expansion of (* re re) in re
11.627 * [taylor]: Taking taylor expansion of re in re
11.627 * [backup-simplify]: Simplify 0 into 0
11.627 * [backup-simplify]: Simplify 1 into 1
11.627 * [taylor]: Taking taylor expansion of re in re
11.627 * [backup-simplify]: Simplify 0 into 0
11.627 * [backup-simplify]: Simplify 1 into 1
11.627 * [taylor]: Taking taylor expansion of (* im im) in re
11.627 * [taylor]: Taking taylor expansion of im in re
11.627 * [backup-simplify]: Simplify im into im
11.627 * [taylor]: Taking taylor expansion of im in re
11.627 * [backup-simplify]: Simplify im into im
11.627 * [backup-simplify]: Simplify (* 0 0) into 0
11.627 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.627 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.627 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.628 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.628 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.628 * [backup-simplify]: Simplify (+ 0 0) into 0
11.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.629 * [backup-simplify]: Simplify (+ 0 im) into im
11.629 * [taylor]: Taking taylor expansion of im in im
11.629 * [backup-simplify]: Simplify 0 into 0
11.629 * [backup-simplify]: Simplify 1 into 1
11.629 * [backup-simplify]: Simplify 0 into 0
11.629 * [backup-simplify]: Simplify (+ 1 0) into 1
11.629 * [taylor]: Taking taylor expansion of 1 in im
11.629 * [backup-simplify]: Simplify 1 into 1
11.629 * [backup-simplify]: Simplify 1 into 1
11.629 * [backup-simplify]: Simplify 1 into 1
11.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.630 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.630 * [backup-simplify]: Simplify (+ 1 0) into 1
11.631 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.631 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
11.631 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
11.631 * [taylor]: Taking taylor expansion of 1/2 in im
11.631 * [backup-simplify]: Simplify 1/2 into 1/2
11.631 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.631 * [taylor]: Taking taylor expansion of im in im
11.631 * [backup-simplify]: Simplify 0 into 0
11.631 * [backup-simplify]: Simplify 1 into 1
11.631 * [backup-simplify]: Simplify (/ 1 1) into 1
11.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.632 * [backup-simplify]: Simplify 0 into 0
11.632 * [backup-simplify]: Simplify 0 into 0
11.632 * [backup-simplify]: Simplify 0 into 0
11.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
11.633 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.633 * [backup-simplify]: Simplify (+ 0 0) into 0
11.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.634 * [backup-simplify]: Simplify (+ 0 0) into 0
11.634 * [taylor]: Taking taylor expansion of 0 in im
11.634 * [backup-simplify]: Simplify 0 into 0
11.634 * [backup-simplify]: Simplify 0 into 0
11.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.635 * [backup-simplify]: Simplify 0 into 0
11.635 * [backup-simplify]: Simplify 0 into 0
11.635 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
11.635 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
11.635 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
11.635 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
11.635 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.635 * [taylor]: Taking taylor expansion of re in im
11.635 * [backup-simplify]: Simplify re into re
11.635 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.635 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
11.635 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.635 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
11.635 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
11.636 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.636 * [taylor]: Taking taylor expansion of re in im
11.636 * [backup-simplify]: Simplify re into re
11.636 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.636 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.636 * [taylor]: Taking taylor expansion of re in im
11.636 * [backup-simplify]: Simplify re into re
11.636 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.636 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
11.636 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.636 * [taylor]: Taking taylor expansion of im in im
11.636 * [backup-simplify]: Simplify 0 into 0
11.636 * [backup-simplify]: Simplify 1 into 1
11.636 * [backup-simplify]: Simplify (/ 1 1) into 1
11.636 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.636 * [taylor]: Taking taylor expansion of im in im
11.636 * [backup-simplify]: Simplify 0 into 0
11.636 * [backup-simplify]: Simplify 1 into 1
11.636 * [backup-simplify]: Simplify (/ 1 1) into 1
11.637 * [backup-simplify]: Simplify (* 1 1) into 1
11.637 * [backup-simplify]: Simplify (+ 0 1) into 1
11.637 * [backup-simplify]: Simplify (sqrt 1) into 1
11.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.639 * [backup-simplify]: Simplify (+ 0 0) into 0
11.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.639 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
11.639 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.639 * [taylor]: Taking taylor expansion of re in re
11.639 * [backup-simplify]: Simplify 0 into 0
11.639 * [backup-simplify]: Simplify 1 into 1
11.640 * [backup-simplify]: Simplify (/ 1 1) into 1
11.640 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.640 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.640 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.640 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.640 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.640 * [taylor]: Taking taylor expansion of re in re
11.640 * [backup-simplify]: Simplify 0 into 0
11.640 * [backup-simplify]: Simplify 1 into 1
11.640 * [backup-simplify]: Simplify (/ 1 1) into 1
11.640 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.640 * [taylor]: Taking taylor expansion of re in re
11.640 * [backup-simplify]: Simplify 0 into 0
11.640 * [backup-simplify]: Simplify 1 into 1
11.640 * [backup-simplify]: Simplify (/ 1 1) into 1
11.640 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.640 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.640 * [taylor]: Taking taylor expansion of im in re
11.640 * [backup-simplify]: Simplify im into im
11.640 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.640 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.640 * [taylor]: Taking taylor expansion of im in re
11.641 * [backup-simplify]: Simplify im into im
11.641 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.641 * [backup-simplify]: Simplify (* 1 1) into 1
11.641 * [backup-simplify]: Simplify (+ 1 0) into 1
11.641 * [backup-simplify]: Simplify (sqrt 1) into 1
11.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.643 * [backup-simplify]: Simplify (+ 0 0) into 0
11.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.643 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
11.643 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.643 * [taylor]: Taking taylor expansion of re in re
11.643 * [backup-simplify]: Simplify 0 into 0
11.643 * [backup-simplify]: Simplify 1 into 1
11.644 * [backup-simplify]: Simplify (/ 1 1) into 1
11.644 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.644 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.644 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.644 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.644 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.644 * [taylor]: Taking taylor expansion of re in re
11.644 * [backup-simplify]: Simplify 0 into 0
11.644 * [backup-simplify]: Simplify 1 into 1
11.644 * [backup-simplify]: Simplify (/ 1 1) into 1
11.644 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.644 * [taylor]: Taking taylor expansion of re in re
11.644 * [backup-simplify]: Simplify 0 into 0
11.644 * [backup-simplify]: Simplify 1 into 1
11.644 * [backup-simplify]: Simplify (/ 1 1) into 1
11.644 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.644 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.644 * [taylor]: Taking taylor expansion of im in re
11.644 * [backup-simplify]: Simplify im into im
11.645 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.645 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.645 * [taylor]: Taking taylor expansion of im in re
11.645 * [backup-simplify]: Simplify im into im
11.645 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.645 * [backup-simplify]: Simplify (* 1 1) into 1
11.645 * [backup-simplify]: Simplify (+ 1 0) into 1
11.645 * [backup-simplify]: Simplify (sqrt 1) into 1
11.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.647 * [backup-simplify]: Simplify (+ 0 0) into 0
11.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.649 * [backup-simplify]: Simplify (+ 1 1) into 2
11.649 * [taylor]: Taking taylor expansion of 2 in im
11.649 * [backup-simplify]: Simplify 2 into 2
11.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.651 * [backup-simplify]: Simplify (+ 0 0) into 0
11.651 * [taylor]: Taking taylor expansion of 0 in im
11.651 * [backup-simplify]: Simplify 0 into 0
11.651 * [backup-simplify]: Simplify 2 into 2
11.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.655 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
11.655 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.656 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.656 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
11.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.657 * [taylor]: Taking taylor expansion of 1/2 in im
11.657 * [backup-simplify]: Simplify 1/2 into 1/2
11.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.657 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.657 * [taylor]: Taking taylor expansion of im in im
11.657 * [backup-simplify]: Simplify 0 into 0
11.657 * [backup-simplify]: Simplify 1 into 1
11.657 * [backup-simplify]: Simplify (* 1 1) into 1
11.657 * [backup-simplify]: Simplify (/ 1 1) into 1
11.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.660 * [backup-simplify]: Simplify 0 into 0
11.660 * [backup-simplify]: Simplify 0 into 0
11.660 * [backup-simplify]: Simplify 0 into 0
11.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.664 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
11.665 * [backup-simplify]: Simplify (+ 0 0) into 0
11.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.666 * [backup-simplify]: Simplify (+ 0 0) into 0
11.666 * [taylor]: Taking taylor expansion of 0 in im
11.666 * [backup-simplify]: Simplify 0 into 0
11.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.669 * [backup-simplify]: Simplify 0 into 0
11.669 * [backup-simplify]: Simplify 0 into 0
11.669 * [backup-simplify]: Simplify 0 into 0
11.669 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
11.669 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
11.669 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
11.669 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
11.670 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
11.670 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.670 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
11.670 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
11.670 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.670 * [taylor]: Taking taylor expansion of -1 in im
11.670 * [backup-simplify]: Simplify -1 into -1
11.670 * [taylor]: Taking taylor expansion of re in im
11.670 * [backup-simplify]: Simplify re into re
11.670 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.670 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.670 * [taylor]: Taking taylor expansion of -1 in im
11.670 * [backup-simplify]: Simplify -1 into -1
11.670 * [taylor]: Taking taylor expansion of re in im
11.670 * [backup-simplify]: Simplify re into re
11.670 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.670 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
11.670 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.670 * [taylor]: Taking taylor expansion of -1 in im
11.671 * [backup-simplify]: Simplify -1 into -1
11.671 * [taylor]: Taking taylor expansion of im in im
11.671 * [backup-simplify]: Simplify 0 into 0
11.671 * [backup-simplify]: Simplify 1 into 1
11.671 * [backup-simplify]: Simplify (/ -1 1) into -1
11.671 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.671 * [taylor]: Taking taylor expansion of -1 in im
11.671 * [backup-simplify]: Simplify -1 into -1
11.671 * [taylor]: Taking taylor expansion of im in im
11.671 * [backup-simplify]: Simplify 0 into 0
11.671 * [backup-simplify]: Simplify 1 into 1
11.672 * [backup-simplify]: Simplify (/ -1 1) into -1
11.672 * [backup-simplify]: Simplify (* -1 -1) into 1
11.673 * [backup-simplify]: Simplify (+ 0 1) into 1
11.673 * [backup-simplify]: Simplify (sqrt 1) into 1
11.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.675 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.675 * [backup-simplify]: Simplify (+ 0 0) into 0
11.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.676 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.676 * [taylor]: Taking taylor expansion of re in im
11.676 * [backup-simplify]: Simplify re into re
11.676 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.676 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.676 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.676 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.676 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.676 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.676 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.676 * [taylor]: Taking taylor expansion of -1 in re
11.676 * [backup-simplify]: Simplify -1 into -1
11.676 * [taylor]: Taking taylor expansion of re in re
11.676 * [backup-simplify]: Simplify 0 into 0
11.676 * [backup-simplify]: Simplify 1 into 1
11.676 * [backup-simplify]: Simplify (/ -1 1) into -1
11.677 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.677 * [taylor]: Taking taylor expansion of -1 in re
11.677 * [backup-simplify]: Simplify -1 into -1
11.677 * [taylor]: Taking taylor expansion of re in re
11.677 * [backup-simplify]: Simplify 0 into 0
11.677 * [backup-simplify]: Simplify 1 into 1
11.677 * [backup-simplify]: Simplify (/ -1 1) into -1
11.677 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.677 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.677 * [taylor]: Taking taylor expansion of -1 in re
11.677 * [backup-simplify]: Simplify -1 into -1
11.677 * [taylor]: Taking taylor expansion of im in re
11.677 * [backup-simplify]: Simplify im into im
11.677 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.677 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.677 * [taylor]: Taking taylor expansion of -1 in re
11.677 * [backup-simplify]: Simplify -1 into -1
11.677 * [taylor]: Taking taylor expansion of im in re
11.677 * [backup-simplify]: Simplify im into im
11.677 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.677 * [backup-simplify]: Simplify (* -1 -1) into 1
11.678 * [backup-simplify]: Simplify (+ 1 0) into 1
11.678 * [backup-simplify]: Simplify (sqrt 1) into 1
11.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.679 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.680 * [backup-simplify]: Simplify (+ 0 0) into 0
11.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.680 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.680 * [taylor]: Taking taylor expansion of re in re
11.680 * [backup-simplify]: Simplify 0 into 0
11.680 * [backup-simplify]: Simplify 1 into 1
11.680 * [backup-simplify]: Simplify (/ 1 1) into 1
11.680 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.680 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.681 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.681 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.681 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.681 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.681 * [taylor]: Taking taylor expansion of -1 in re
11.681 * [backup-simplify]: Simplify -1 into -1
11.681 * [taylor]: Taking taylor expansion of re in re
11.681 * [backup-simplify]: Simplify 0 into 0
11.681 * [backup-simplify]: Simplify 1 into 1
11.681 * [backup-simplify]: Simplify (/ -1 1) into -1
11.681 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.681 * [taylor]: Taking taylor expansion of -1 in re
11.681 * [backup-simplify]: Simplify -1 into -1
11.681 * [taylor]: Taking taylor expansion of re in re
11.681 * [backup-simplify]: Simplify 0 into 0
11.681 * [backup-simplify]: Simplify 1 into 1
11.681 * [backup-simplify]: Simplify (/ -1 1) into -1
11.681 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.681 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.681 * [taylor]: Taking taylor expansion of -1 in re
11.681 * [backup-simplify]: Simplify -1 into -1
11.681 * [taylor]: Taking taylor expansion of im in re
11.681 * [backup-simplify]: Simplify im into im
11.682 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.682 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.682 * [taylor]: Taking taylor expansion of -1 in re
11.682 * [backup-simplify]: Simplify -1 into -1
11.682 * [taylor]: Taking taylor expansion of im in re
11.682 * [backup-simplify]: Simplify im into im
11.682 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.682 * [backup-simplify]: Simplify (* -1 -1) into 1
11.682 * [backup-simplify]: Simplify (+ 1 0) into 1
11.682 * [backup-simplify]: Simplify (sqrt 1) into 1
11.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.684 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.684 * [backup-simplify]: Simplify (+ 0 0) into 0
11.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.684 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.684 * [taylor]: Taking taylor expansion of re in re
11.685 * [backup-simplify]: Simplify 0 into 0
11.685 * [backup-simplify]: Simplify 1 into 1
11.685 * [backup-simplify]: Simplify (/ 1 1) into 1
11.685 * [backup-simplify]: Simplify (- 1) into -1
11.685 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.685 * [taylor]: Taking taylor expansion of 0 in im
11.685 * [backup-simplify]: Simplify 0 into 0
11.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.686 * [backup-simplify]: Simplify (- 0) into 0
11.686 * [backup-simplify]: Simplify (+ 0 0) into 0
11.686 * [taylor]: Taking taylor expansion of 0 in im
11.686 * [backup-simplify]: Simplify 0 into 0
11.686 * [backup-simplify]: Simplify 0 into 0
11.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.688 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.688 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
11.688 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.689 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.690 * [backup-simplify]: Simplify (- 0) into 0
11.690 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.690 * [taylor]: Taking taylor expansion of 1/2 in im
11.690 * [backup-simplify]: Simplify 1/2 into 1/2
11.690 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.690 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.690 * [taylor]: Taking taylor expansion of im in im
11.690 * [backup-simplify]: Simplify 0 into 0
11.690 * [backup-simplify]: Simplify 1 into 1
11.690 * [backup-simplify]: Simplify (* 1 1) into 1
11.691 * [backup-simplify]: Simplify (/ 1 1) into 1
11.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.692 * [backup-simplify]: Simplify 0 into 0
11.692 * [backup-simplify]: Simplify 0 into 0
11.692 * [backup-simplify]: Simplify 0 into 0
11.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.694 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.694 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.694 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.694 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
11.694 * [backup-simplify]: Simplify (+ 0 0) into 0
11.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.695 * [backup-simplify]: Simplify (- 0) into 0
11.696 * [backup-simplify]: Simplify (+ 0 0) into 0
11.696 * [taylor]: Taking taylor expansion of 0 in im
11.696 * [backup-simplify]: Simplify 0 into 0
11.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.697 * [backup-simplify]: Simplify 0 into 0
11.697 * [backup-simplify]: Simplify 0 into 0
11.697 * [backup-simplify]: Simplify 0 into 0
11.697 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1)
11.698 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ re (hypot re im))
11.698 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
11.698 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
11.698 * [taylor]: Taking taylor expansion of re in im
11.698 * [backup-simplify]: Simplify re into re
11.698 * [taylor]: Taking taylor expansion of (hypot re im) in im
11.698 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.698 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
11.698 * [taylor]: Taking taylor expansion of (* re re) in im
11.698 * [taylor]: Taking taylor expansion of re in im
11.698 * [backup-simplify]: Simplify re into re
11.698 * [taylor]: Taking taylor expansion of re in im
11.698 * [backup-simplify]: Simplify re into re
11.698 * [taylor]: Taking taylor expansion of (* im im) in im
11.698 * [taylor]: Taking taylor expansion of im in im
11.698 * [backup-simplify]: Simplify 0 into 0
11.698 * [backup-simplify]: Simplify 1 into 1
11.698 * [taylor]: Taking taylor expansion of im in im
11.698 * [backup-simplify]: Simplify 0 into 0
11.698 * [backup-simplify]: Simplify 1 into 1
11.698 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.698 * [backup-simplify]: Simplify (* 0 0) into 0
11.698 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.698 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.699 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.699 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.699 * [backup-simplify]: Simplify (+ 0 0) into 0
11.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.699 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.699 * [taylor]: Taking taylor expansion of re in re
11.699 * [backup-simplify]: Simplify 0 into 0
11.699 * [backup-simplify]: Simplify 1 into 1
11.699 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.699 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.700 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.700 * [taylor]: Taking taylor expansion of (* re re) in re
11.700 * [taylor]: Taking taylor expansion of re in re
11.700 * [backup-simplify]: Simplify 0 into 0
11.700 * [backup-simplify]: Simplify 1 into 1
11.700 * [taylor]: Taking taylor expansion of re in re
11.700 * [backup-simplify]: Simplify 0 into 0
11.700 * [backup-simplify]: Simplify 1 into 1
11.700 * [taylor]: Taking taylor expansion of (* im im) in re
11.700 * [taylor]: Taking taylor expansion of im in re
11.700 * [backup-simplify]: Simplify im into im
11.700 * [taylor]: Taking taylor expansion of im in re
11.700 * [backup-simplify]: Simplify im into im
11.700 * [backup-simplify]: Simplify (* 0 0) into 0
11.700 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.700 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.700 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.701 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.701 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.701 * [backup-simplify]: Simplify (+ 0 0) into 0
11.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.701 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.701 * [taylor]: Taking taylor expansion of re in re
11.701 * [backup-simplify]: Simplify 0 into 0
11.701 * [backup-simplify]: Simplify 1 into 1
11.701 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.701 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.701 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.701 * [taylor]: Taking taylor expansion of (* re re) in re
11.701 * [taylor]: Taking taylor expansion of re in re
11.701 * [backup-simplify]: Simplify 0 into 0
11.701 * [backup-simplify]: Simplify 1 into 1
11.701 * [taylor]: Taking taylor expansion of re in re
11.701 * [backup-simplify]: Simplify 0 into 0
11.701 * [backup-simplify]: Simplify 1 into 1
11.701 * [taylor]: Taking taylor expansion of (* im im) in re
11.701 * [taylor]: Taking taylor expansion of im in re
11.701 * [backup-simplify]: Simplify im into im
11.701 * [taylor]: Taking taylor expansion of im in re
11.701 * [backup-simplify]: Simplify im into im
11.702 * [backup-simplify]: Simplify (* 0 0) into 0
11.702 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.702 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.702 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.702 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.702 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.703 * [backup-simplify]: Simplify (+ 0 0) into 0
11.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.703 * [backup-simplify]: Simplify (+ 0 im) into im
11.703 * [taylor]: Taking taylor expansion of im in im
11.703 * [backup-simplify]: Simplify 0 into 0
11.703 * [backup-simplify]: Simplify 1 into 1
11.703 * [backup-simplify]: Simplify 0 into 0
11.703 * [backup-simplify]: Simplify (+ 1 0) into 1
11.703 * [taylor]: Taking taylor expansion of 1 in im
11.703 * [backup-simplify]: Simplify 1 into 1
11.703 * [backup-simplify]: Simplify 1 into 1
11.703 * [backup-simplify]: Simplify 1 into 1
11.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.704 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.704 * [backup-simplify]: Simplify (+ 1 0) into 1
11.705 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.705 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
11.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
11.705 * [taylor]: Taking taylor expansion of 1/2 in im
11.705 * [backup-simplify]: Simplify 1/2 into 1/2
11.705 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.705 * [taylor]: Taking taylor expansion of im in im
11.705 * [backup-simplify]: Simplify 0 into 0
11.705 * [backup-simplify]: Simplify 1 into 1
11.705 * [backup-simplify]: Simplify (/ 1 1) into 1
11.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.706 * [backup-simplify]: Simplify 0 into 0
11.706 * [backup-simplify]: Simplify 0 into 0
11.706 * [backup-simplify]: Simplify 0 into 0
11.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
11.709 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.709 * [backup-simplify]: Simplify (+ 0 0) into 0
11.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.710 * [backup-simplify]: Simplify (+ 0 0) into 0
11.710 * [taylor]: Taking taylor expansion of 0 in im
11.710 * [backup-simplify]: Simplify 0 into 0
11.710 * [backup-simplify]: Simplify 0 into 0
11.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.712 * [backup-simplify]: Simplify 0 into 0
11.712 * [backup-simplify]: Simplify 0 into 0
11.712 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
11.712 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
11.712 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
11.712 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
11.712 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.712 * [taylor]: Taking taylor expansion of re in im
11.712 * [backup-simplify]: Simplify re into re
11.712 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.712 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
11.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.713 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
11.713 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
11.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.713 * [taylor]: Taking taylor expansion of re in im
11.713 * [backup-simplify]: Simplify re into re
11.713 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.713 * [taylor]: Taking taylor expansion of re in im
11.713 * [backup-simplify]: Simplify re into re
11.713 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.713 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
11.713 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.713 * [taylor]: Taking taylor expansion of im in im
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify 1 into 1
11.714 * [backup-simplify]: Simplify (/ 1 1) into 1
11.714 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.714 * [taylor]: Taking taylor expansion of im in im
11.714 * [backup-simplify]: Simplify 0 into 0
11.714 * [backup-simplify]: Simplify 1 into 1
11.714 * [backup-simplify]: Simplify (/ 1 1) into 1
11.715 * [backup-simplify]: Simplify (* 1 1) into 1
11.715 * [backup-simplify]: Simplify (+ 0 1) into 1
11.715 * [backup-simplify]: Simplify (sqrt 1) into 1
11.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.718 * [backup-simplify]: Simplify (+ 0 0) into 0
11.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.719 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
11.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.719 * [taylor]: Taking taylor expansion of re in re
11.719 * [backup-simplify]: Simplify 0 into 0
11.719 * [backup-simplify]: Simplify 1 into 1
11.719 * [backup-simplify]: Simplify (/ 1 1) into 1
11.719 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.720 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.720 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.720 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.720 * [taylor]: Taking taylor expansion of re in re
11.720 * [backup-simplify]: Simplify 0 into 0
11.720 * [backup-simplify]: Simplify 1 into 1
11.720 * [backup-simplify]: Simplify (/ 1 1) into 1
11.720 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.720 * [taylor]: Taking taylor expansion of re in re
11.720 * [backup-simplify]: Simplify 0 into 0
11.720 * [backup-simplify]: Simplify 1 into 1
11.721 * [backup-simplify]: Simplify (/ 1 1) into 1
11.721 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.721 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.721 * [taylor]: Taking taylor expansion of im in re
11.721 * [backup-simplify]: Simplify im into im
11.721 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.721 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.721 * [taylor]: Taking taylor expansion of im in re
11.721 * [backup-simplify]: Simplify im into im
11.721 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.722 * [backup-simplify]: Simplify (* 1 1) into 1
11.722 * [backup-simplify]: Simplify (+ 1 0) into 1
11.722 * [backup-simplify]: Simplify (sqrt 1) into 1
11.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.725 * [backup-simplify]: Simplify (+ 0 0) into 0
11.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.726 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
11.726 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.726 * [taylor]: Taking taylor expansion of re in re
11.726 * [backup-simplify]: Simplify 0 into 0
11.726 * [backup-simplify]: Simplify 1 into 1
11.726 * [backup-simplify]: Simplify (/ 1 1) into 1
11.726 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.727 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.727 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.727 * [taylor]: Taking taylor expansion of re in re
11.727 * [backup-simplify]: Simplify 0 into 0
11.727 * [backup-simplify]: Simplify 1 into 1
11.727 * [backup-simplify]: Simplify (/ 1 1) into 1
11.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.727 * [taylor]: Taking taylor expansion of re in re
11.727 * [backup-simplify]: Simplify 0 into 0
11.727 * [backup-simplify]: Simplify 1 into 1
11.728 * [backup-simplify]: Simplify (/ 1 1) into 1
11.728 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.728 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.728 * [taylor]: Taking taylor expansion of im in re
11.728 * [backup-simplify]: Simplify im into im
11.728 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.728 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.728 * [taylor]: Taking taylor expansion of im in re
11.728 * [backup-simplify]: Simplify im into im
11.728 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.729 * [backup-simplify]: Simplify (* 1 1) into 1
11.729 * [backup-simplify]: Simplify (+ 1 0) into 1
11.729 * [backup-simplify]: Simplify (sqrt 1) into 1
11.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.732 * [backup-simplify]: Simplify (+ 0 0) into 0
11.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.733 * [backup-simplify]: Simplify (+ 1 1) into 2
11.733 * [taylor]: Taking taylor expansion of 2 in im
11.733 * [backup-simplify]: Simplify 2 into 2
11.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.743 * [backup-simplify]: Simplify (+ 0 0) into 0
11.744 * [taylor]: Taking taylor expansion of 0 in im
11.744 * [backup-simplify]: Simplify 0 into 0
11.744 * [backup-simplify]: Simplify 2 into 2
11.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.748 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
11.748 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.750 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.750 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
11.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.750 * [taylor]: Taking taylor expansion of 1/2 in im
11.750 * [backup-simplify]: Simplify 1/2 into 1/2
11.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.750 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.750 * [taylor]: Taking taylor expansion of im in im
11.750 * [backup-simplify]: Simplify 0 into 0
11.750 * [backup-simplify]: Simplify 1 into 1
11.750 * [backup-simplify]: Simplify (* 1 1) into 1
11.751 * [backup-simplify]: Simplify (/ 1 1) into 1
11.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.753 * [backup-simplify]: Simplify 0 into 0
11.753 * [backup-simplify]: Simplify 0 into 0
11.753 * [backup-simplify]: Simplify 0 into 0
11.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.757 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
11.758 * [backup-simplify]: Simplify (+ 0 0) into 0
11.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.759 * [backup-simplify]: Simplify (+ 0 0) into 0
11.759 * [taylor]: Taking taylor expansion of 0 in im
11.759 * [backup-simplify]: Simplify 0 into 0
11.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.762 * [backup-simplify]: Simplify 0 into 0
11.762 * [backup-simplify]: Simplify 0 into 0
11.762 * [backup-simplify]: Simplify 0 into 0
11.762 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
11.763 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
11.763 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
11.763 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
11.763 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
11.763 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.763 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
11.763 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
11.763 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.763 * [taylor]: Taking taylor expansion of -1 in im
11.763 * [backup-simplify]: Simplify -1 into -1
11.763 * [taylor]: Taking taylor expansion of re in im
11.763 * [backup-simplify]: Simplify re into re
11.763 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.763 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.763 * [taylor]: Taking taylor expansion of -1 in im
11.763 * [backup-simplify]: Simplify -1 into -1
11.763 * [taylor]: Taking taylor expansion of re in im
11.763 * [backup-simplify]: Simplify re into re
11.763 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.763 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
11.763 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.763 * [taylor]: Taking taylor expansion of -1 in im
11.763 * [backup-simplify]: Simplify -1 into -1
11.763 * [taylor]: Taking taylor expansion of im in im
11.763 * [backup-simplify]: Simplify 0 into 0
11.764 * [backup-simplify]: Simplify 1 into 1
11.764 * [backup-simplify]: Simplify (/ -1 1) into -1
11.764 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.764 * [taylor]: Taking taylor expansion of -1 in im
11.764 * [backup-simplify]: Simplify -1 into -1
11.764 * [taylor]: Taking taylor expansion of im in im
11.764 * [backup-simplify]: Simplify 0 into 0
11.764 * [backup-simplify]: Simplify 1 into 1
11.765 * [backup-simplify]: Simplify (/ -1 1) into -1
11.765 * [backup-simplify]: Simplify (* -1 -1) into 1
11.766 * [backup-simplify]: Simplify (+ 0 1) into 1
11.766 * [backup-simplify]: Simplify (sqrt 1) into 1
11.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.769 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.769 * [backup-simplify]: Simplify (+ 0 0) into 0
11.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.770 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.770 * [taylor]: Taking taylor expansion of re in im
11.770 * [backup-simplify]: Simplify re into re
11.770 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.770 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.770 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.770 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.770 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.770 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.770 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.770 * [taylor]: Taking taylor expansion of -1 in re
11.770 * [backup-simplify]: Simplify -1 into -1
11.770 * [taylor]: Taking taylor expansion of re in re
11.770 * [backup-simplify]: Simplify 0 into 0
11.770 * [backup-simplify]: Simplify 1 into 1
11.771 * [backup-simplify]: Simplify (/ -1 1) into -1
11.771 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.771 * [taylor]: Taking taylor expansion of -1 in re
11.771 * [backup-simplify]: Simplify -1 into -1
11.771 * [taylor]: Taking taylor expansion of re in re
11.771 * [backup-simplify]: Simplify 0 into 0
11.771 * [backup-simplify]: Simplify 1 into 1
11.772 * [backup-simplify]: Simplify (/ -1 1) into -1
11.772 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.772 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.772 * [taylor]: Taking taylor expansion of -1 in re
11.772 * [backup-simplify]: Simplify -1 into -1
11.772 * [taylor]: Taking taylor expansion of im in re
11.772 * [backup-simplify]: Simplify im into im
11.772 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.772 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.772 * [taylor]: Taking taylor expansion of -1 in re
11.772 * [backup-simplify]: Simplify -1 into -1
11.772 * [taylor]: Taking taylor expansion of im in re
11.772 * [backup-simplify]: Simplify im into im
11.772 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.772 * [backup-simplify]: Simplify (* -1 -1) into 1
11.773 * [backup-simplify]: Simplify (+ 1 0) into 1
11.773 * [backup-simplify]: Simplify (sqrt 1) into 1
11.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.776 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.776 * [backup-simplify]: Simplify (+ 0 0) into 0
11.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.777 * [taylor]: Taking taylor expansion of re in re
11.777 * [backup-simplify]: Simplify 0 into 0
11.777 * [backup-simplify]: Simplify 1 into 1
11.777 * [backup-simplify]: Simplify (/ 1 1) into 1
11.777 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.777 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.777 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.777 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.778 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.778 * [taylor]: Taking taylor expansion of -1 in re
11.778 * [backup-simplify]: Simplify -1 into -1
11.778 * [taylor]: Taking taylor expansion of re in re
11.778 * [backup-simplify]: Simplify 0 into 0
11.778 * [backup-simplify]: Simplify 1 into 1
11.778 * [backup-simplify]: Simplify (/ -1 1) into -1
11.778 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.778 * [taylor]: Taking taylor expansion of -1 in re
11.778 * [backup-simplify]: Simplify -1 into -1
11.778 * [taylor]: Taking taylor expansion of re in re
11.778 * [backup-simplify]: Simplify 0 into 0
11.778 * [backup-simplify]: Simplify 1 into 1
11.779 * [backup-simplify]: Simplify (/ -1 1) into -1
11.779 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.779 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.779 * [taylor]: Taking taylor expansion of -1 in re
11.779 * [backup-simplify]: Simplify -1 into -1
11.779 * [taylor]: Taking taylor expansion of im in re
11.779 * [backup-simplify]: Simplify im into im
11.779 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.779 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.779 * [taylor]: Taking taylor expansion of -1 in re
11.779 * [backup-simplify]: Simplify -1 into -1
11.779 * [taylor]: Taking taylor expansion of im in re
11.779 * [backup-simplify]: Simplify im into im
11.779 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.780 * [backup-simplify]: Simplify (* -1 -1) into 1
11.780 * [backup-simplify]: Simplify (+ 1 0) into 1
11.780 * [backup-simplify]: Simplify (sqrt 1) into 1
11.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.783 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.783 * [backup-simplify]: Simplify (+ 0 0) into 0
11.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.784 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.784 * [taylor]: Taking taylor expansion of re in re
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify 1 into 1
11.785 * [backup-simplify]: Simplify (/ 1 1) into 1
11.785 * [backup-simplify]: Simplify (- 1) into -1
11.785 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.785 * [taylor]: Taking taylor expansion of 0 in im
11.785 * [backup-simplify]: Simplify 0 into 0
11.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.787 * [backup-simplify]: Simplify (- 0) into 0
11.787 * [backup-simplify]: Simplify (+ 0 0) into 0
11.787 * [taylor]: Taking taylor expansion of 0 in im
11.787 * [backup-simplify]: Simplify 0 into 0
11.787 * [backup-simplify]: Simplify 0 into 0
11.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.790 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.790 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
11.791 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.792 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.793 * [backup-simplify]: Simplify (- 0) into 0
11.794 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.794 * [taylor]: Taking taylor expansion of 1/2 in im
11.794 * [backup-simplify]: Simplify 1/2 into 1/2
11.794 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.794 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.794 * [taylor]: Taking taylor expansion of im in im
11.794 * [backup-simplify]: Simplify 0 into 0
11.794 * [backup-simplify]: Simplify 1 into 1
11.794 * [backup-simplify]: Simplify (* 1 1) into 1
11.795 * [backup-simplify]: Simplify (/ 1 1) into 1
11.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.797 * [backup-simplify]: Simplify 0 into 0
11.797 * [backup-simplify]: Simplify 0 into 0
11.797 * [backup-simplify]: Simplify 0 into 0
11.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.800 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.800 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.801 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.801 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
11.801 * [backup-simplify]: Simplify (+ 0 0) into 0
11.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.803 * [backup-simplify]: Simplify (- 0) into 0
11.803 * [backup-simplify]: Simplify (+ 0 0) into 0
11.803 * [taylor]: Taking taylor expansion of 0 in im
11.803 * [backup-simplify]: Simplify 0 into 0
11.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.806 * [backup-simplify]: Simplify 0 into 0
11.806 * [backup-simplify]: Simplify 0 into 0
11.806 * [backup-simplify]: Simplify 0 into 0
11.806 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
11.807 * [backup-simplify]: Simplify (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) into (+ re (hypot re im))
11.807 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
11.807 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
11.807 * [taylor]: Taking taylor expansion of re in im
11.807 * [backup-simplify]: Simplify re into re
11.807 * [taylor]: Taking taylor expansion of (hypot re im) in im
11.807 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.807 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
11.807 * [taylor]: Taking taylor expansion of (* re re) in im
11.807 * [taylor]: Taking taylor expansion of re in im
11.807 * [backup-simplify]: Simplify re into re
11.807 * [taylor]: Taking taylor expansion of re in im
11.807 * [backup-simplify]: Simplify re into re
11.807 * [taylor]: Taking taylor expansion of (* im im) in im
11.807 * [taylor]: Taking taylor expansion of im in im
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [backup-simplify]: Simplify 1 into 1
11.807 * [taylor]: Taking taylor expansion of im in im
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [backup-simplify]: Simplify 1 into 1
11.807 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.808 * [backup-simplify]: Simplify (* 0 0) into 0
11.808 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.808 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.808 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.809 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.809 * [backup-simplify]: Simplify (+ 0 0) into 0
11.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.809 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.809 * [taylor]: Taking taylor expansion of re in re
11.810 * [backup-simplify]: Simplify 0 into 0
11.810 * [backup-simplify]: Simplify 1 into 1
11.810 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.810 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.810 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.810 * [taylor]: Taking taylor expansion of (* re re) in re
11.810 * [taylor]: Taking taylor expansion of re in re
11.810 * [backup-simplify]: Simplify 0 into 0
11.810 * [backup-simplify]: Simplify 1 into 1
11.810 * [taylor]: Taking taylor expansion of re in re
11.810 * [backup-simplify]: Simplify 0 into 0
11.810 * [backup-simplify]: Simplify 1 into 1
11.810 * [taylor]: Taking taylor expansion of (* im im) in re
11.810 * [taylor]: Taking taylor expansion of im in re
11.810 * [backup-simplify]: Simplify im into im
11.810 * [taylor]: Taking taylor expansion of im in re
11.810 * [backup-simplify]: Simplify im into im
11.810 * [backup-simplify]: Simplify (* 0 0) into 0
11.810 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.811 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.811 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.811 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.811 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.812 * [backup-simplify]: Simplify (+ 0 0) into 0
11.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.812 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.812 * [taylor]: Taking taylor expansion of re in re
11.812 * [backup-simplify]: Simplify 0 into 0
11.812 * [backup-simplify]: Simplify 1 into 1
11.812 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.812 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.812 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.812 * [taylor]: Taking taylor expansion of (* re re) in re
11.812 * [taylor]: Taking taylor expansion of re in re
11.812 * [backup-simplify]: Simplify 0 into 0
11.812 * [backup-simplify]: Simplify 1 into 1
11.812 * [taylor]: Taking taylor expansion of re in re
11.813 * [backup-simplify]: Simplify 0 into 0
11.813 * [backup-simplify]: Simplify 1 into 1
11.813 * [taylor]: Taking taylor expansion of (* im im) in re
11.813 * [taylor]: Taking taylor expansion of im in re
11.813 * [backup-simplify]: Simplify im into im
11.813 * [taylor]: Taking taylor expansion of im in re
11.813 * [backup-simplify]: Simplify im into im
11.813 * [backup-simplify]: Simplify (* 0 0) into 0
11.813 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.813 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.813 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.814 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.814 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.815 * [backup-simplify]: Simplify (+ 0 0) into 0
11.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.815 * [backup-simplify]: Simplify (+ 0 im) into im
11.815 * [taylor]: Taking taylor expansion of im in im
11.815 * [backup-simplify]: Simplify 0 into 0
11.815 * [backup-simplify]: Simplify 1 into 1
11.815 * [backup-simplify]: Simplify 0 into 0
11.815 * [backup-simplify]: Simplify (+ 1 0) into 1
11.815 * [taylor]: Taking taylor expansion of 1 in im
11.815 * [backup-simplify]: Simplify 1 into 1
11.815 * [backup-simplify]: Simplify 1 into 1
11.816 * [backup-simplify]: Simplify 1 into 1
11.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.817 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.817 * [backup-simplify]: Simplify (+ 1 0) into 1
11.818 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.818 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
11.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
11.818 * [taylor]: Taking taylor expansion of 1/2 in im
11.818 * [backup-simplify]: Simplify 1/2 into 1/2
11.818 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.818 * [taylor]: Taking taylor expansion of im in im
11.818 * [backup-simplify]: Simplify 0 into 0
11.818 * [backup-simplify]: Simplify 1 into 1
11.819 * [backup-simplify]: Simplify (/ 1 1) into 1
11.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.820 * [backup-simplify]: Simplify 0 into 0
11.820 * [backup-simplify]: Simplify 0 into 0
11.820 * [backup-simplify]: Simplify 0 into 0
11.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
11.822 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.823 * [backup-simplify]: Simplify (+ 0 0) into 0
11.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.823 * [backup-simplify]: Simplify (+ 0 0) into 0
11.823 * [taylor]: Taking taylor expansion of 0 in im
11.823 * [backup-simplify]: Simplify 0 into 0
11.823 * [backup-simplify]: Simplify 0 into 0
11.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.825 * [backup-simplify]: Simplify 0 into 0
11.825 * [backup-simplify]: Simplify 0 into 0
11.825 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
11.826 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
11.826 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
11.826 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
11.826 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.826 * [taylor]: Taking taylor expansion of re in im
11.826 * [backup-simplify]: Simplify re into re
11.826 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.826 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
11.826 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.826 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
11.826 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
11.826 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.826 * [taylor]: Taking taylor expansion of re in im
11.826 * [backup-simplify]: Simplify re into re
11.826 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.826 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.826 * [taylor]: Taking taylor expansion of re in im
11.826 * [backup-simplify]: Simplify re into re
11.827 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.827 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
11.827 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.827 * [taylor]: Taking taylor expansion of im in im
11.827 * [backup-simplify]: Simplify 0 into 0
11.827 * [backup-simplify]: Simplify 1 into 1
11.827 * [backup-simplify]: Simplify (/ 1 1) into 1
11.827 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.827 * [taylor]: Taking taylor expansion of im in im
11.827 * [backup-simplify]: Simplify 0 into 0
11.827 * [backup-simplify]: Simplify 1 into 1
11.828 * [backup-simplify]: Simplify (/ 1 1) into 1
11.828 * [backup-simplify]: Simplify (* 1 1) into 1
11.828 * [backup-simplify]: Simplify (+ 0 1) into 1
11.829 * [backup-simplify]: Simplify (sqrt 1) into 1
11.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.831 * [backup-simplify]: Simplify (+ 0 0) into 0
11.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.832 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
11.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.832 * [taylor]: Taking taylor expansion of re in re
11.832 * [backup-simplify]: Simplify 0 into 0
11.832 * [backup-simplify]: Simplify 1 into 1
11.833 * [backup-simplify]: Simplify (/ 1 1) into 1
11.833 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.833 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.833 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.833 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.833 * [taylor]: Taking taylor expansion of re in re
11.833 * [backup-simplify]: Simplify 0 into 0
11.833 * [backup-simplify]: Simplify 1 into 1
11.833 * [backup-simplify]: Simplify (/ 1 1) into 1
11.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.833 * [taylor]: Taking taylor expansion of re in re
11.833 * [backup-simplify]: Simplify 0 into 0
11.833 * [backup-simplify]: Simplify 1 into 1
11.834 * [backup-simplify]: Simplify (/ 1 1) into 1
11.834 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.834 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.834 * [taylor]: Taking taylor expansion of im in re
11.834 * [backup-simplify]: Simplify im into im
11.834 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.834 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.834 * [taylor]: Taking taylor expansion of im in re
11.834 * [backup-simplify]: Simplify im into im
11.834 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.835 * [backup-simplify]: Simplify (* 1 1) into 1
11.835 * [backup-simplify]: Simplify (+ 1 0) into 1
11.835 * [backup-simplify]: Simplify (sqrt 1) into 1
11.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.838 * [backup-simplify]: Simplify (+ 0 0) into 0
11.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.839 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
11.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.839 * [taylor]: Taking taylor expansion of re in re
11.839 * [backup-simplify]: Simplify 0 into 0
11.839 * [backup-simplify]: Simplify 1 into 1
11.839 * [backup-simplify]: Simplify (/ 1 1) into 1
11.839 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.839 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.839 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.839 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.839 * [taylor]: Taking taylor expansion of re in re
11.839 * [backup-simplify]: Simplify 0 into 0
11.839 * [backup-simplify]: Simplify 1 into 1
11.840 * [backup-simplify]: Simplify (/ 1 1) into 1
11.840 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.840 * [taylor]: Taking taylor expansion of re in re
11.840 * [backup-simplify]: Simplify 0 into 0
11.840 * [backup-simplify]: Simplify 1 into 1
11.840 * [backup-simplify]: Simplify (/ 1 1) into 1
11.840 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.840 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.840 * [taylor]: Taking taylor expansion of im in re
11.840 * [backup-simplify]: Simplify im into im
11.840 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.840 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.840 * [taylor]: Taking taylor expansion of im in re
11.841 * [backup-simplify]: Simplify im into im
11.841 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.841 * [backup-simplify]: Simplify (* 1 1) into 1
11.841 * [backup-simplify]: Simplify (+ 1 0) into 1
11.842 * [backup-simplify]: Simplify (sqrt 1) into 1
11.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.844 * [backup-simplify]: Simplify (+ 0 0) into 0
11.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.845 * [backup-simplify]: Simplify (+ 1 1) into 2
11.845 * [taylor]: Taking taylor expansion of 2 in im
11.846 * [backup-simplify]: Simplify 2 into 2
11.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.847 * [backup-simplify]: Simplify (+ 0 0) into 0
11.847 * [taylor]: Taking taylor expansion of 0 in im
11.847 * [backup-simplify]: Simplify 0 into 0
11.847 * [backup-simplify]: Simplify 2 into 2
11.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.850 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
11.851 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.852 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.852 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
11.852 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.852 * [taylor]: Taking taylor expansion of 1/2 in im
11.852 * [backup-simplify]: Simplify 1/2 into 1/2
11.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.852 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.852 * [taylor]: Taking taylor expansion of im in im
11.853 * [backup-simplify]: Simplify 0 into 0
11.853 * [backup-simplify]: Simplify 1 into 1
11.853 * [backup-simplify]: Simplify (* 1 1) into 1
11.853 * [backup-simplify]: Simplify (/ 1 1) into 1
11.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.855 * [backup-simplify]: Simplify 0 into 0
11.855 * [backup-simplify]: Simplify 0 into 0
11.855 * [backup-simplify]: Simplify 0 into 0
11.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.860 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
11.860 * [backup-simplify]: Simplify (+ 0 0) into 0
11.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.861 * [backup-simplify]: Simplify (+ 0 0) into 0
11.861 * [taylor]: Taking taylor expansion of 0 in im
11.861 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.864 * [backup-simplify]: Simplify 0 into 0
11.864 * [backup-simplify]: Simplify 0 into 0
11.864 * [backup-simplify]: Simplify 0 into 0
11.864 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
11.865 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
11.865 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
11.865 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
11.865 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
11.865 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.865 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
11.865 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
11.865 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.865 * [taylor]: Taking taylor expansion of -1 in im
11.865 * [backup-simplify]: Simplify -1 into -1
11.865 * [taylor]: Taking taylor expansion of re in im
11.865 * [backup-simplify]: Simplify re into re
11.866 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.866 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.866 * [taylor]: Taking taylor expansion of -1 in im
11.866 * [backup-simplify]: Simplify -1 into -1
11.866 * [taylor]: Taking taylor expansion of re in im
11.866 * [backup-simplify]: Simplify re into re
11.866 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.866 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
11.866 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.866 * [taylor]: Taking taylor expansion of -1 in im
11.866 * [backup-simplify]: Simplify -1 into -1
11.866 * [taylor]: Taking taylor expansion of im in im
11.866 * [backup-simplify]: Simplify 0 into 0
11.866 * [backup-simplify]: Simplify 1 into 1
11.866 * [backup-simplify]: Simplify (/ -1 1) into -1
11.866 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.866 * [taylor]: Taking taylor expansion of -1 in im
11.867 * [backup-simplify]: Simplify -1 into -1
11.867 * [taylor]: Taking taylor expansion of im in im
11.867 * [backup-simplify]: Simplify 0 into 0
11.867 * [backup-simplify]: Simplify 1 into 1
11.867 * [backup-simplify]: Simplify (/ -1 1) into -1
11.867 * [backup-simplify]: Simplify (* -1 -1) into 1
11.868 * [backup-simplify]: Simplify (+ 0 1) into 1
11.868 * [backup-simplify]: Simplify (sqrt 1) into 1
11.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.871 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.871 * [backup-simplify]: Simplify (+ 0 0) into 0
11.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.872 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.872 * [taylor]: Taking taylor expansion of re in im
11.872 * [backup-simplify]: Simplify re into re
11.872 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.872 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.872 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.873 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.873 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.873 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.873 * [taylor]: Taking taylor expansion of -1 in re
11.873 * [backup-simplify]: Simplify -1 into -1
11.873 * [taylor]: Taking taylor expansion of re in re
11.873 * [backup-simplify]: Simplify 0 into 0
11.873 * [backup-simplify]: Simplify 1 into 1
11.873 * [backup-simplify]: Simplify (/ -1 1) into -1
11.873 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.873 * [taylor]: Taking taylor expansion of -1 in re
11.873 * [backup-simplify]: Simplify -1 into -1
11.873 * [taylor]: Taking taylor expansion of re in re
11.873 * [backup-simplify]: Simplify 0 into 0
11.873 * [backup-simplify]: Simplify 1 into 1
11.874 * [backup-simplify]: Simplify (/ -1 1) into -1
11.874 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.874 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.874 * [taylor]: Taking taylor expansion of -1 in re
11.874 * [backup-simplify]: Simplify -1 into -1
11.874 * [taylor]: Taking taylor expansion of im in re
11.874 * [backup-simplify]: Simplify im into im
11.874 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.874 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.874 * [taylor]: Taking taylor expansion of -1 in re
11.874 * [backup-simplify]: Simplify -1 into -1
11.874 * [taylor]: Taking taylor expansion of im in re
11.874 * [backup-simplify]: Simplify im into im
11.874 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.875 * [backup-simplify]: Simplify (* -1 -1) into 1
11.875 * [backup-simplify]: Simplify (+ 1 0) into 1
11.876 * [backup-simplify]: Simplify (sqrt 1) into 1
11.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.878 * [backup-simplify]: Simplify (+ 0 0) into 0
11.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.879 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.879 * [taylor]: Taking taylor expansion of re in re
11.879 * [backup-simplify]: Simplify 0 into 0
11.879 * [backup-simplify]: Simplify 1 into 1
11.880 * [backup-simplify]: Simplify (/ 1 1) into 1
11.880 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.880 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.880 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.880 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.880 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.880 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.880 * [taylor]: Taking taylor expansion of -1 in re
11.880 * [backup-simplify]: Simplify -1 into -1
11.880 * [taylor]: Taking taylor expansion of re in re
11.880 * [backup-simplify]: Simplify 0 into 0
11.880 * [backup-simplify]: Simplify 1 into 1
11.881 * [backup-simplify]: Simplify (/ -1 1) into -1
11.881 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.881 * [taylor]: Taking taylor expansion of -1 in re
11.881 * [backup-simplify]: Simplify -1 into -1
11.881 * [taylor]: Taking taylor expansion of re in re
11.881 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify 1 into 1
11.881 * [backup-simplify]: Simplify (/ -1 1) into -1
11.881 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.881 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.881 * [taylor]: Taking taylor expansion of -1 in re
11.881 * [backup-simplify]: Simplify -1 into -1
11.881 * [taylor]: Taking taylor expansion of im in re
11.881 * [backup-simplify]: Simplify im into im
11.882 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.882 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.882 * [taylor]: Taking taylor expansion of -1 in re
11.882 * [backup-simplify]: Simplify -1 into -1
11.882 * [taylor]: Taking taylor expansion of im in re
11.882 * [backup-simplify]: Simplify im into im
11.882 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.882 * [backup-simplify]: Simplify (* -1 -1) into 1
11.883 * [backup-simplify]: Simplify (+ 1 0) into 1
11.883 * [backup-simplify]: Simplify (sqrt 1) into 1
11.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.885 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.886 * [backup-simplify]: Simplify (+ 0 0) into 0
11.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.887 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.887 * [taylor]: Taking taylor expansion of re in re
11.887 * [backup-simplify]: Simplify 0 into 0
11.887 * [backup-simplify]: Simplify 1 into 1
11.887 * [backup-simplify]: Simplify (/ 1 1) into 1
11.887 * [backup-simplify]: Simplify (- 1) into -1
11.888 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.888 * [taylor]: Taking taylor expansion of 0 in im
11.888 * [backup-simplify]: Simplify 0 into 0
11.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.889 * [backup-simplify]: Simplify (- 0) into 0
11.889 * [backup-simplify]: Simplify (+ 0 0) into 0
11.889 * [taylor]: Taking taylor expansion of 0 in im
11.889 * [backup-simplify]: Simplify 0 into 0
11.890 * [backup-simplify]: Simplify 0 into 0
11.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.893 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
11.893 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.894 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.896 * [backup-simplify]: Simplify (- 0) into 0
11.896 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.896 * [taylor]: Taking taylor expansion of 1/2 in im
11.896 * [backup-simplify]: Simplify 1/2 into 1/2
11.896 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.896 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.896 * [taylor]: Taking taylor expansion of im in im
11.896 * [backup-simplify]: Simplify 0 into 0
11.896 * [backup-simplify]: Simplify 1 into 1
11.903 * [backup-simplify]: Simplify (* 1 1) into 1
11.904 * [backup-simplify]: Simplify (/ 1 1) into 1
11.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.905 * [backup-simplify]: Simplify 0 into 0
11.905 * [backup-simplify]: Simplify 0 into 0
11.905 * [backup-simplify]: Simplify 0 into 0
11.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.907 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.907 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.907 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.907 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
11.908 * [backup-simplify]: Simplify (+ 0 0) into 0
11.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.909 * [backup-simplify]: Simplify (- 0) into 0
11.909 * [backup-simplify]: Simplify (+ 0 0) into 0
11.909 * [taylor]: Taking taylor expansion of 0 in im
11.909 * [backup-simplify]: Simplify 0 into 0
11.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.911 * [backup-simplify]: Simplify 0 into 0
11.911 * [backup-simplify]: Simplify 0 into 0
11.911 * [backup-simplify]: Simplify 0 into 0
11.911 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1)
11.911 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
11.911 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
11.911 * [taylor]: Taking taylor expansion of (hypot re im) in im
11.911 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.911 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
11.911 * [taylor]: Taking taylor expansion of (* re re) in im
11.911 * [taylor]: Taking taylor expansion of re in im
11.911 * [backup-simplify]: Simplify re into re
11.911 * [taylor]: Taking taylor expansion of re in im
11.911 * [backup-simplify]: Simplify re into re
11.911 * [taylor]: Taking taylor expansion of (* im im) in im
11.911 * [taylor]: Taking taylor expansion of im in im
11.911 * [backup-simplify]: Simplify 0 into 0
11.911 * [backup-simplify]: Simplify 1 into 1
11.911 * [taylor]: Taking taylor expansion of im in im
11.912 * [backup-simplify]: Simplify 0 into 0
11.912 * [backup-simplify]: Simplify 1 into 1
11.912 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.912 * [backup-simplify]: Simplify (* 0 0) into 0
11.912 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.912 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.912 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.912 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.913 * [backup-simplify]: Simplify (+ 0 0) into 0
11.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.913 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.913 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.913 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.913 * [taylor]: Taking taylor expansion of (* re re) in re
11.913 * [taylor]: Taking taylor expansion of re in re
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 1 into 1
11.913 * [taylor]: Taking taylor expansion of re in re
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 1 into 1
11.913 * [taylor]: Taking taylor expansion of (* im im) in re
11.913 * [taylor]: Taking taylor expansion of im in re
11.913 * [backup-simplify]: Simplify im into im
11.913 * [taylor]: Taking taylor expansion of im in re
11.913 * [backup-simplify]: Simplify im into im
11.913 * [backup-simplify]: Simplify (* 0 0) into 0
11.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.914 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.914 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.914 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.914 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.914 * [backup-simplify]: Simplify (+ 0 0) into 0
11.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.914 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.915 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.915 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.915 * [taylor]: Taking taylor expansion of (* re re) in re
11.915 * [taylor]: Taking taylor expansion of re in re
11.915 * [backup-simplify]: Simplify 0 into 0
11.915 * [backup-simplify]: Simplify 1 into 1
11.915 * [taylor]: Taking taylor expansion of re in re
11.915 * [backup-simplify]: Simplify 0 into 0
11.915 * [backup-simplify]: Simplify 1 into 1
11.915 * [taylor]: Taking taylor expansion of (* im im) in re
11.915 * [taylor]: Taking taylor expansion of im in re
11.915 * [backup-simplify]: Simplify im into im
11.915 * [taylor]: Taking taylor expansion of im in re
11.915 * [backup-simplify]: Simplify im into im
11.915 * [backup-simplify]: Simplify (* 0 0) into 0
11.915 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.915 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.915 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.916 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.916 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.916 * [backup-simplify]: Simplify (+ 0 0) into 0
11.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.916 * [taylor]: Taking taylor expansion of im in im
11.916 * [backup-simplify]: Simplify 0 into 0
11.916 * [backup-simplify]: Simplify 1 into 1
11.916 * [backup-simplify]: Simplify 0 into 0
11.916 * [taylor]: Taking taylor expansion of 0 in im
11.916 * [backup-simplify]: Simplify 0 into 0
11.916 * [backup-simplify]: Simplify 0 into 0
11.916 * [backup-simplify]: Simplify 1 into 1
11.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.917 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.917 * [backup-simplify]: Simplify (+ 1 0) into 1
11.918 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.918 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.918 * [taylor]: Taking taylor expansion of 1/2 in im
11.918 * [backup-simplify]: Simplify 1/2 into 1/2
11.918 * [taylor]: Taking taylor expansion of im in im
11.918 * [backup-simplify]: Simplify 0 into 0
11.918 * [backup-simplify]: Simplify 1 into 1
11.918 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.919 * [backup-simplify]: Simplify 0 into 0
11.919 * [backup-simplify]: Simplify 0 into 0
11.919 * [backup-simplify]: Simplify 0 into 0
11.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
11.920 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.920 * [backup-simplify]: Simplify (+ 0 0) into 0
11.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.920 * [taylor]: Taking taylor expansion of 0 in im
11.921 * [backup-simplify]: Simplify 0 into 0
11.921 * [backup-simplify]: Simplify 0 into 0
11.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.921 * [backup-simplify]: Simplify 0 into 0
11.921 * [backup-simplify]: Simplify 0 into 0
11.921 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.921 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
11.921 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
11.921 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
11.921 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.922 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
11.922 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
11.922 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.922 * [taylor]: Taking taylor expansion of re in im
11.922 * [backup-simplify]: Simplify re into re
11.922 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.922 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.922 * [taylor]: Taking taylor expansion of re in im
11.922 * [backup-simplify]: Simplify re into re
11.922 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.922 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
11.922 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.922 * [taylor]: Taking taylor expansion of im in im
11.922 * [backup-simplify]: Simplify 0 into 0
11.922 * [backup-simplify]: Simplify 1 into 1
11.922 * [backup-simplify]: Simplify (/ 1 1) into 1
11.922 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.922 * [taylor]: Taking taylor expansion of im in im
11.922 * [backup-simplify]: Simplify 0 into 0
11.922 * [backup-simplify]: Simplify 1 into 1
11.922 * [backup-simplify]: Simplify (/ 1 1) into 1
11.923 * [backup-simplify]: Simplify (* 1 1) into 1
11.923 * [backup-simplify]: Simplify (+ 0 1) into 1
11.923 * [backup-simplify]: Simplify (sqrt 1) into 1
11.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.925 * [backup-simplify]: Simplify (+ 0 0) into 0
11.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.925 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.925 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.925 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.925 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.925 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.925 * [taylor]: Taking taylor expansion of re in re
11.925 * [backup-simplify]: Simplify 0 into 0
11.925 * [backup-simplify]: Simplify 1 into 1
11.926 * [backup-simplify]: Simplify (/ 1 1) into 1
11.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.926 * [taylor]: Taking taylor expansion of re in re
11.926 * [backup-simplify]: Simplify 0 into 0
11.926 * [backup-simplify]: Simplify 1 into 1
11.926 * [backup-simplify]: Simplify (/ 1 1) into 1
11.926 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.926 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.926 * [taylor]: Taking taylor expansion of im in re
11.926 * [backup-simplify]: Simplify im into im
11.926 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.926 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.926 * [taylor]: Taking taylor expansion of im in re
11.926 * [backup-simplify]: Simplify im into im
11.926 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.926 * [backup-simplify]: Simplify (* 1 1) into 1
11.927 * [backup-simplify]: Simplify (+ 1 0) into 1
11.927 * [backup-simplify]: Simplify (sqrt 1) into 1
11.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.929 * [backup-simplify]: Simplify (+ 0 0) into 0
11.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.930 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.930 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.930 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.931 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.931 * [taylor]: Taking taylor expansion of re in re
11.931 * [backup-simplify]: Simplify 0 into 0
11.931 * [backup-simplify]: Simplify 1 into 1
11.931 * [backup-simplify]: Simplify (/ 1 1) into 1
11.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.931 * [taylor]: Taking taylor expansion of re in re
11.931 * [backup-simplify]: Simplify 0 into 0
11.931 * [backup-simplify]: Simplify 1 into 1
11.932 * [backup-simplify]: Simplify (/ 1 1) into 1
11.932 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.932 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.932 * [taylor]: Taking taylor expansion of im in re
11.932 * [backup-simplify]: Simplify im into im
11.932 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.932 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.932 * [taylor]: Taking taylor expansion of im in re
11.932 * [backup-simplify]: Simplify im into im
11.932 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.932 * [backup-simplify]: Simplify (* 1 1) into 1
11.933 * [backup-simplify]: Simplify (+ 1 0) into 1
11.933 * [backup-simplify]: Simplify (sqrt 1) into 1
11.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.936 * [backup-simplify]: Simplify (+ 0 0) into 0
11.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.936 * [taylor]: Taking taylor expansion of 1 in im
11.936 * [backup-simplify]: Simplify 1 into 1
11.936 * [taylor]: Taking taylor expansion of 0 in im
11.936 * [backup-simplify]: Simplify 0 into 0
11.937 * [backup-simplify]: Simplify 1 into 1
11.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.939 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
11.940 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.941 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.941 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.941 * [taylor]: Taking taylor expansion of 1/2 in im
11.941 * [backup-simplify]: Simplify 1/2 into 1/2
11.941 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.941 * [taylor]: Taking taylor expansion of im in im
11.941 * [backup-simplify]: Simplify 0 into 0
11.941 * [backup-simplify]: Simplify 1 into 1
11.942 * [backup-simplify]: Simplify (* 1 1) into 1
11.942 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.944 * [backup-simplify]: Simplify 0 into 0
11.944 * [backup-simplify]: Simplify 0 into 0
11.944 * [backup-simplify]: Simplify 0 into 0
11.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.947 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
11.947 * [backup-simplify]: Simplify (+ 0 0) into 0
11.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.948 * [taylor]: Taking taylor expansion of 0 in im
11.948 * [backup-simplify]: Simplify 0 into 0
11.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.950 * [backup-simplify]: Simplify 0 into 0
11.950 * [backup-simplify]: Simplify 0 into 0
11.950 * [backup-simplify]: Simplify 0 into 0
11.950 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.950 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
11.950 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
11.950 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
11.951 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.951 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
11.951 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
11.951 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.951 * [taylor]: Taking taylor expansion of -1 in im
11.951 * [backup-simplify]: Simplify -1 into -1
11.951 * [taylor]: Taking taylor expansion of re in im
11.951 * [backup-simplify]: Simplify re into re
11.951 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.951 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.951 * [taylor]: Taking taylor expansion of -1 in im
11.951 * [backup-simplify]: Simplify -1 into -1
11.951 * [taylor]: Taking taylor expansion of re in im
11.951 * [backup-simplify]: Simplify re into re
11.951 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.951 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
11.951 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.951 * [taylor]: Taking taylor expansion of -1 in im
11.951 * [backup-simplify]: Simplify -1 into -1
11.951 * [taylor]: Taking taylor expansion of im in im
11.951 * [backup-simplify]: Simplify 0 into 0
11.951 * [backup-simplify]: Simplify 1 into 1
11.952 * [backup-simplify]: Simplify (/ -1 1) into -1
11.952 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.952 * [taylor]: Taking taylor expansion of -1 in im
11.952 * [backup-simplify]: Simplify -1 into -1
11.952 * [taylor]: Taking taylor expansion of im in im
11.952 * [backup-simplify]: Simplify 0 into 0
11.952 * [backup-simplify]: Simplify 1 into 1
11.952 * [backup-simplify]: Simplify (/ -1 1) into -1
11.953 * [backup-simplify]: Simplify (* -1 -1) into 1
11.953 * [backup-simplify]: Simplify (+ 0 1) into 1
11.954 * [backup-simplify]: Simplify (sqrt 1) into 1
11.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.956 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.956 * [backup-simplify]: Simplify (+ 0 0) into 0
11.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.957 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.957 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.957 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.957 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.957 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.957 * [taylor]: Taking taylor expansion of -1 in re
11.957 * [backup-simplify]: Simplify -1 into -1
11.957 * [taylor]: Taking taylor expansion of re in re
11.957 * [backup-simplify]: Simplify 0 into 0
11.957 * [backup-simplify]: Simplify 1 into 1
11.958 * [backup-simplify]: Simplify (/ -1 1) into -1
11.958 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.958 * [taylor]: Taking taylor expansion of -1 in re
11.958 * [backup-simplify]: Simplify -1 into -1
11.958 * [taylor]: Taking taylor expansion of re in re
11.958 * [backup-simplify]: Simplify 0 into 0
11.958 * [backup-simplify]: Simplify 1 into 1
11.958 * [backup-simplify]: Simplify (/ -1 1) into -1
11.959 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.959 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.959 * [taylor]: Taking taylor expansion of -1 in re
11.959 * [backup-simplify]: Simplify -1 into -1
11.959 * [taylor]: Taking taylor expansion of im in re
11.959 * [backup-simplify]: Simplify im into im
11.959 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.959 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.959 * [taylor]: Taking taylor expansion of -1 in re
11.959 * [backup-simplify]: Simplify -1 into -1
11.959 * [taylor]: Taking taylor expansion of im in re
11.959 * [backup-simplify]: Simplify im into im
11.959 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.959 * [backup-simplify]: Simplify (* -1 -1) into 1
11.960 * [backup-simplify]: Simplify (+ 1 0) into 1
11.960 * [backup-simplify]: Simplify (sqrt 1) into 1
11.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.962 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.963 * [backup-simplify]: Simplify (+ 0 0) into 0
11.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.964 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.964 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.964 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.964 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.964 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.964 * [taylor]: Taking taylor expansion of -1 in re
11.964 * [backup-simplify]: Simplify -1 into -1
11.964 * [taylor]: Taking taylor expansion of re in re
11.964 * [backup-simplify]: Simplify 0 into 0
11.964 * [backup-simplify]: Simplify 1 into 1
11.964 * [backup-simplify]: Simplify (/ -1 1) into -1
11.965 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.965 * [taylor]: Taking taylor expansion of -1 in re
11.965 * [backup-simplify]: Simplify -1 into -1
11.965 * [taylor]: Taking taylor expansion of re in re
11.965 * [backup-simplify]: Simplify 0 into 0
11.965 * [backup-simplify]: Simplify 1 into 1
11.965 * [backup-simplify]: Simplify (/ -1 1) into -1
11.965 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.965 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.965 * [taylor]: Taking taylor expansion of -1 in re
11.965 * [backup-simplify]: Simplify -1 into -1
11.965 * [taylor]: Taking taylor expansion of im in re
11.965 * [backup-simplify]: Simplify im into im
11.965 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.965 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.965 * [taylor]: Taking taylor expansion of -1 in re
11.965 * [backup-simplify]: Simplify -1 into -1
11.965 * [taylor]: Taking taylor expansion of im in re
11.965 * [backup-simplify]: Simplify im into im
11.966 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.966 * [backup-simplify]: Simplify (* -1 -1) into 1
11.966 * [backup-simplify]: Simplify (+ 1 0) into 1
11.967 * [backup-simplify]: Simplify (sqrt 1) into 1
11.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.969 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.969 * [backup-simplify]: Simplify (+ 0 0) into 0
11.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.971 * [taylor]: Taking taylor expansion of 1 in im
11.971 * [backup-simplify]: Simplify 1 into 1
11.971 * [taylor]: Taking taylor expansion of 0 in im
11.971 * [backup-simplify]: Simplify 0 into 0
11.971 * [backup-simplify]: Simplify 1 into 1
11.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.974 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.974 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
11.974 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.975 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.975 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.975 * [taylor]: Taking taylor expansion of 1/2 in im
11.975 * [backup-simplify]: Simplify 1/2 into 1/2
11.975 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.975 * [taylor]: Taking taylor expansion of im in im
11.976 * [backup-simplify]: Simplify 0 into 0
11.976 * [backup-simplify]: Simplify 1 into 1
11.976 * [backup-simplify]: Simplify (* 1 1) into 1
11.976 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [backup-simplify]: Simplify 0 into 0
11.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.981 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.981 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.981 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.982 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
11.982 * [backup-simplify]: Simplify (+ 0 0) into 0
11.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.983 * [taylor]: Taking taylor expansion of 0 in im
11.983 * [backup-simplify]: Simplify 0 into 0
11.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.985 * * * [progress]: simplifying candidates
11.988 * [simplify]: Simplifying:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (* (exp (hypot re im)) (exp re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (* (exp (hypot re im)) (exp re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))))
  (log1p (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (hypot re im) re) (+ (hypot re im) re))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))
  (* (+ (hypot re im) re) (+ (hypot re im) re))
  (+ 1 1)
  (+ (log (sqrt (+ (hypot re im) re))) (log (sqrt (+ (hypot re im) re))))
  (log (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))))
  (exp (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))))
  (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))) (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))))
  (* (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))) (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))))
  (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))))
  (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))))
  (* (+ (hypot re im) re) (+ (hypot re im) re))
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))))
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))))
  (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (pow (hypot re im) 3) (pow re 3))))
  (* (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))))
  (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (pow (hypot re im) 3) (pow re 3))))
  (* (sqrt (- (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))))
  (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))))
  (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt (cbrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* 1 1)
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ (hypot re im) re)) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (+ (hypot re im) re)) (sqrt 1))
  (* (sqrt (+ (hypot re im) re)) (sqrt 1))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (+ (hypot re im) re)) 1)
  (* (cbrt (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (pow (hypot re im) 3) (pow re 3))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
11.992 * * [simplify]: Extracting # 0 : cost  0
11.993 * * [simplify]: Extracting # 1 : cost  0
11.993 * * [simplify]: Extracting # 2 : cost  0
11.993 * * [simplify]: Extracting # 3 : cost  0
11.993 * * [simplify]: Extracting # 4 : cost  0
11.994 * * [simplify]: Extracting # 5 : cost  0
11.994 * * [simplify]: Extracting # 6 : cost  0
11.994 * * [simplify]: iteration  0 :  103  enodes  (cost  1514 )
12.052 * * [simplify]: Extracting # 0 : cost  0
12.052 * * [simplify]: Extracting # 1 : cost  0
12.052 * * [simplify]: Extracting # 2 : cost  0
12.052 * * [simplify]: Extracting # 3 : cost  0
12.052 * * [simplify]: Extracting # 4 : cost  0
12.053 * * [simplify]: iteration  1 :  179  enodes  (cost  1004 )
12.100 * * [simplify]: Extracting # 0 : cost  0
12.101 * * [simplify]: Extracting # 1 : cost  0
12.102 * * [simplify]: Extracting # 2 : cost  0
12.103 * * [simplify]: Extracting # 3 : cost  0
12.103 * * [simplify]: Extracting # 4 : cost  0
12.104 * * [simplify]: iteration  2 :  441  enodes  (cost  926 )
12.412 * * [simplify]: Extracting # 0 : cost  0
12.413 * * [simplify]: Extracting # 1 : cost  0
12.414 * * [simplify]: Extracting # 2 : cost  0
12.415 * * [simplify]: Extracting # 3 : cost  0
12.416 * * [simplify]: Extracting # 4 : cost  0
12.417 * * [simplify]: Extracting # 5 : cost  0
12.418 * * [simplify]: iteration  3 :  1213  enodes  (cost  889 )
15.679 * * [simplify]: Extracting # 0 : cost  0
15.687 * * [simplify]: Extracting # 1 : cost  0
15.690 * * [simplify]: Extracting # 2 : cost  0
15.693 * * [simplify]: Extracting # 3 : cost  0
15.696 * * [simplify]: Extracting # 4 : cost  0
15.700 * * [simplify]: iteration  4 :  4266  enodes  (cost  865 )
17.258 * * [simplify]: Extracting # 0 : cost  0
17.262 * * [simplify]: Extracting # 1 : cost  0
17.266 * * [simplify]: iteration done:  5000  enodes  (cost  865 )
17.267 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (pow (sqrt (cbrt (+ (hypot re im) re))) 4)
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (pow (sqrt (cbrt (+ (hypot re im) re))) 4)
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  1
  1
  2
  1
  1
  (pow (sqrt (+ (hypot re im) re)) 4)
  (+ (hypot re im) re)
  (pow (sqrt (+ (hypot re im) re)) 4)
  2
  (log (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (pow (sqrt (cbrt (+ (hypot re im) re))) 4)
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (pow (sqrt (+ (hypot re im) re)) 4)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (* (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (fma re re (* (hypot re im) (- (hypot re im) re)))) (sqrt (- (hypot re im) re)))
  (* (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (fma re re (* (hypot re im) (- (hypot re im) re)))) (sqrt (- (hypot re im) re)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (pow (cbrt (sqrt (+ (hypot re im) re))) 4)
  (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))
  (pow (sqrt (cbrt (+ (hypot re im) re))) 4)
  (cbrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  1
  (+ (hypot re im) re)
  1
  (+ (hypot re im) re)
  1
  (+ (hypot re im) re)
  1
  (+ (hypot re im) re)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  1
  (+ (hypot re im) re)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  1
  2
  1
  (pow (cbrt (sqrt (+ (hypot re im) re))) 5)
  (* (fabs (cbrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))
  (pow (sqrt (sqrt (+ (hypot re im) re))) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (pow (sqrt (sqrt (+ (hypot re im) re))) 3)
  (sqrt (+ (hypot re im) re))
  (pow (cbrt (sqrt (+ (hypot re im) re))) 4)
  (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))
  (pow (sqrt (sqrt (+ (hypot re im) re))) 3)
  (+ (hypot re im) re)
  (+ (hypot re im) re)
  (pow (sqrt (sqrt (+ (hypot re im) re))) 3)
  (+ (hypot re im) re)
  (* (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt (+ (hypot re im) re)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt (+ (hypot re im) re)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
  im
  re
  (- re)
17.268 * * * [progress]: adding candidates to table
17.732 * * [progress]: iteration 4 / 4
17.732 * * * [progress]: picking best candidate
17.755 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))) 2.0))))>
17.755 * * * [progress]: localizing error
17.783 * * * [progress]: generating rewritten candidates
17.783 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1)
17.784 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1)
17.805 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
17.839 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1)
17.842 * * * [progress]: generating series expansions
17.842 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1)
17.842 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)
17.842 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in (re im) around 0
17.842 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im
17.842 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
17.842 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
17.842 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
17.842 * [taylor]: Taking taylor expansion of (hypot re im) in im
17.843 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
17.843 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
17.843 * [taylor]: Taking taylor expansion of (* re re) in im
17.843 * [taylor]: Taking taylor expansion of re in im
17.843 * [backup-simplify]: Simplify re into re
17.843 * [taylor]: Taking taylor expansion of re in im
17.843 * [backup-simplify]: Simplify re into re
17.843 * [taylor]: Taking taylor expansion of (* im im) in im
17.843 * [taylor]: Taking taylor expansion of im in im
17.843 * [backup-simplify]: Simplify 0 into 0
17.843 * [backup-simplify]: Simplify 1 into 1
17.843 * [taylor]: Taking taylor expansion of im in im
17.843 * [backup-simplify]: Simplify 0 into 0
17.843 * [backup-simplify]: Simplify 1 into 1
17.843 * [backup-simplify]: Simplify (* re re) into (pow re 2)
17.843 * [backup-simplify]: Simplify (* 0 0) into 0
17.843 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
17.844 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
17.844 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
17.844 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
17.844 * [backup-simplify]: Simplify (+ 0 0) into 0
17.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
17.844 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
17.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
17.845 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
17.845 * [taylor]: Taking taylor expansion of (hypot re im) in im
17.845 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
17.845 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
17.845 * [taylor]: Taking taylor expansion of (* re re) in im
17.845 * [taylor]: Taking taylor expansion of re in im
17.845 * [backup-simplify]: Simplify re into re
17.845 * [taylor]: Taking taylor expansion of re in im
17.845 * [backup-simplify]: Simplify re into re
17.845 * [taylor]: Taking taylor expansion of (* im im) in im
17.845 * [taylor]: Taking taylor expansion of im in im
17.845 * [backup-simplify]: Simplify 0 into 0
17.845 * [backup-simplify]: Simplify 1 into 1
17.845 * [taylor]: Taking taylor expansion of im in im
17.845 * [backup-simplify]: Simplify 0 into 0
17.845 * [backup-simplify]: Simplify 1 into 1
17.845 * [backup-simplify]: Simplify (* re re) into (pow re 2)
17.845 * [backup-simplify]: Simplify (* 0 0) into 0
17.845 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
17.845 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
17.845 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
17.846 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
17.846 * [backup-simplify]: Simplify (+ 0 0) into 0
17.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
17.846 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
17.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
17.846 * [taylor]: Taking taylor expansion of re in im
17.846 * [backup-simplify]: Simplify re into re
17.846 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
17.846 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
17.847 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
17.847 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
17.847 * [taylor]: Taking taylor expansion of (hypot re im) in re
17.847 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
17.847 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
17.847 * [taylor]: Taking taylor expansion of (* re re) in re
17.847 * [taylor]: Taking taylor expansion of re in re
17.847 * [backup-simplify]: Simplify 0 into 0
17.847 * [backup-simplify]: Simplify 1 into 1
17.847 * [taylor]: Taking taylor expansion of re in re
17.847 * [backup-simplify]: Simplify 0 into 0
17.847 * [backup-simplify]: Simplify 1 into 1
17.847 * [taylor]: Taking taylor expansion of (* im im) in re
17.847 * [taylor]: Taking taylor expansion of im in re
17.847 * [backup-simplify]: Simplify im into im
17.847 * [taylor]: Taking taylor expansion of im in re
17.847 * [backup-simplify]: Simplify im into im
17.848 * [backup-simplify]: Simplify (* 0 0) into 0
17.848 * [backup-simplify]: Simplify (* im im) into (pow im 2)
17.848 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
17.848 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
17.849 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
17.849 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
17.849 * [backup-simplify]: Simplify (+ 0 0) into 0
17.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
17.849 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
17.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
17.849 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
17.849 * [taylor]: Taking taylor expansion of (hypot re im) in re
17.850 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
17.850 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
17.850 * [taylor]: Taking taylor expansion of (* re re) in re
17.850 * [taylor]: Taking taylor expansion of re in re
17.850 * [backup-simplify]: Simplify 0 into 0
17.850 * [backup-simplify]: Simplify 1 into 1
17.850 * [taylor]: Taking taylor expansion of re in re
17.850 * [backup-simplify]: Simplify 0 into 0
17.850 * [backup-simplify]: Simplify 1 into 1
17.850 * [taylor]: Taking taylor expansion of (* im im) in re
17.850 * [taylor]: Taking taylor expansion of im in re
17.850 * [backup-simplify]: Simplify im into im
17.850 * [taylor]: Taking taylor expansion of im in re
17.850 * [backup-simplify]: Simplify im into im
17.850 * [backup-simplify]: Simplify (* 0 0) into 0
17.850 * [backup-simplify]: Simplify (* im im) into (pow im 2)
17.851 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
17.851 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
17.851 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
17.852 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
17.852 * [backup-simplify]: Simplify (+ 0 0) into 0
17.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
17.852 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
17.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
17.852 * [taylor]: Taking taylor expansion of re in re
17.852 * [backup-simplify]: Simplify 0 into 0
17.852 * [backup-simplify]: Simplify 1 into 1
17.852 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
17.853 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
17.853 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
17.853 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
17.853 * [taylor]: Taking taylor expansion of (hypot re im) in re
17.853 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
17.853 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
17.853 * [taylor]: Taking taylor expansion of (* re re) in re
17.853 * [taylor]: Taking taylor expansion of re in re
17.853 * [backup-simplify]: Simplify 0 into 0
17.853 * [backup-simplify]: Simplify 1 into 1
17.853 * [taylor]: Taking taylor expansion of re in re
17.853 * [backup-simplify]: Simplify 0 into 0
17.853 * [backup-simplify]: Simplify 1 into 1
17.853 * [taylor]: Taking taylor expansion of (* im im) in re
17.853 * [taylor]: Taking taylor expansion of im in re
17.853 * [backup-simplify]: Simplify im into im
17.853 * [taylor]: Taking taylor expansion of im in re
17.853 * [backup-simplify]: Simplify im into im
17.854 * [backup-simplify]: Simplify (* 0 0) into 0
17.854 * [backup-simplify]: Simplify (* im im) into (pow im 2)
17.854 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
17.854 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
17.855 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
17.855 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
17.855 * [backup-simplify]: Simplify (+ 0 0) into 0
17.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
17.856 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
17.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
17.856 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
17.856 * [taylor]: Taking taylor expansion of (hypot re im) in re
17.856 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
17.856 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
17.856 * [taylor]: Taking taylor expansion of (* re re) in re
17.856 * [taylor]: Taking taylor expansion of re in re
17.856 * [backup-simplify]: Simplify 0 into 0
17.856 * [backup-simplify]: Simplify 1 into 1
17.856 * [taylor]: Taking taylor expansion of re in re
17.856 * [backup-simplify]: Simplify 0 into 0
17.856 * [backup-simplify]: Simplify 1 into 1
17.856 * [taylor]: Taking taylor expansion of (* im im) in re
17.856 * [taylor]: Taking taylor expansion of im in re
17.856 * [backup-simplify]: Simplify im into im
17.856 * [taylor]: Taking taylor expansion of im in re
17.856 * [backup-simplify]: Simplify im into im
17.857 * [backup-simplify]: Simplify (* 0 0) into 0
17.857 * [backup-simplify]: Simplify (* im im) into (pow im 2)
17.857 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
17.857 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
17.858 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
17.858 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
17.858 * [backup-simplify]: Simplify (+ 0 0) into 0
17.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
17.859 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
17.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
17.859 * [taylor]: Taking taylor expansion of re in re
17.859 * [backup-simplify]: Simplify 0 into 0
17.859 * [backup-simplify]: Simplify 1 into 1
17.859 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
17.859 * [backup-simplify]: Simplify (+ im 0) into im
17.859 * [taylor]: Taking taylor expansion of im in im
17.859 * [backup-simplify]: Simplify 0 into 0
17.859 * [backup-simplify]: Simplify 1 into 1
17.859 * [backup-simplify]: Simplify 0 into 0
17.859 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
17.860 * [backup-simplify]: Simplify (+ 0 1) into 1
17.860 * [taylor]: Taking taylor expansion of 1 in im
17.860 * [backup-simplify]: Simplify 1 into 1
17.860 * [backup-simplify]: Simplify 1 into 1
17.860 * [backup-simplify]: Simplify 1 into 1
17.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
17.861 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
17.862 * [backup-simplify]: Simplify (+ 1 0) into 1
17.863 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
17.864 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
17.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
17.865 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
17.865 * [backup-simplify]: Simplify (+ 1 0) into 1
17.866 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
17.867 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
17.868 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
17.868 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
17.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
17.869 * [taylor]: Taking taylor expansion of 1/2 in im
17.869 * [backup-simplify]: Simplify 1/2 into 1/2
17.869 * [taylor]: Taking taylor expansion of (/ 1 im) in im
17.869 * [taylor]: Taking taylor expansion of im in im
17.869 * [backup-simplify]: Simplify 0 into 0
17.869 * [backup-simplify]: Simplify 1 into 1
17.869 * [backup-simplify]: Simplify (/ 1 1) into 1
17.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
17.871 * [backup-simplify]: Simplify 0 into 0
17.871 * [backup-simplify]: Simplify 0 into 0
17.871 * [backup-simplify]: Simplify 0 into 0
17.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
17.872 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
17.873 * [backup-simplify]: Simplify (+ 0 0) into 0
17.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
17.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
17.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
17.875 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
17.876 * [backup-simplify]: Simplify (+ 0 0) into 0
17.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
17.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
17.877 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
17.877 * [backup-simplify]: Simplify (+ 0 0) into 0
17.877 * [taylor]: Taking taylor expansion of 0 in im
17.877 * [backup-simplify]: Simplify 0 into 0
17.877 * [backup-simplify]: Simplify 0 into 0
17.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
17.879 * [backup-simplify]: Simplify 0 into 0
17.879 * [backup-simplify]: Simplify 0 into 0
17.879 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
17.880 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))
17.880 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in (re im) around 0
17.880 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im
17.880 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
17.880 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
17.880 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
17.880 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
17.880 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
17.880 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
17.880 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
17.880 * [taylor]: Taking taylor expansion of (/ 1 re) in im
17.880 * [taylor]: Taking taylor expansion of re in im
17.880 * [backup-simplify]: Simplify re into re
17.880 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
17.880 * [taylor]: Taking taylor expansion of (/ 1 re) in im
17.880 * [taylor]: Taking taylor expansion of re in im
17.880 * [backup-simplify]: Simplify re into re
17.880 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
17.881 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
17.881 * [taylor]: Taking taylor expansion of (/ 1 im) in im
17.881 * [taylor]: Taking taylor expansion of im in im
17.881 * [backup-simplify]: Simplify 0 into 0
17.881 * [backup-simplify]: Simplify 1 into 1
17.881 * [backup-simplify]: Simplify (/ 1 1) into 1
17.881 * [taylor]: Taking taylor expansion of (/ 1 im) in im
17.881 * [taylor]: Taking taylor expansion of im in im
17.881 * [backup-simplify]: Simplify 0 into 0
17.881 * [backup-simplify]: Simplify 1 into 1
17.881 * [backup-simplify]: Simplify (/ 1 1) into 1
17.882 * [backup-simplify]: Simplify (* 1 1) into 1
17.882 * [backup-simplify]: Simplify (+ 0 1) into 1
17.883 * [backup-simplify]: Simplify (sqrt 1) into 1
17.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.885 * [backup-simplify]: Simplify (+ 0 0) into 0
17.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.886 * [backup-simplify]: Simplify (sqrt 0) into 0
17.888 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.888 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
17.888 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
17.888 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
17.888 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
17.888 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
17.888 * [taylor]: Taking taylor expansion of (/ 1 re) in im
17.888 * [taylor]: Taking taylor expansion of re in im
17.888 * [backup-simplify]: Simplify re into re
17.888 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
17.888 * [taylor]: Taking taylor expansion of (/ 1 re) in im
17.888 * [taylor]: Taking taylor expansion of re in im
17.888 * [backup-simplify]: Simplify re into re
17.888 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
17.888 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
17.888 * [taylor]: Taking taylor expansion of (/ 1 im) in im
17.888 * [taylor]: Taking taylor expansion of im in im
17.888 * [backup-simplify]: Simplify 0 into 0
17.888 * [backup-simplify]: Simplify 1 into 1
17.889 * [backup-simplify]: Simplify (/ 1 1) into 1
17.889 * [taylor]: Taking taylor expansion of (/ 1 im) in im
17.889 * [taylor]: Taking taylor expansion of im in im
17.889 * [backup-simplify]: Simplify 0 into 0
17.889 * [backup-simplify]: Simplify 1 into 1
17.889 * [backup-simplify]: Simplify (/ 1 1) into 1
17.890 * [backup-simplify]: Simplify (* 1 1) into 1
17.890 * [backup-simplify]: Simplify (+ 0 1) into 1
17.890 * [backup-simplify]: Simplify (sqrt 1) into 1
17.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.893 * [backup-simplify]: Simplify (+ 0 0) into 0
17.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.894 * [backup-simplify]: Simplify (sqrt 0) into 0
17.896 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.896 * [taylor]: Taking taylor expansion of (/ 1 re) in im
17.896 * [taylor]: Taking taylor expansion of re in im
17.896 * [backup-simplify]: Simplify re into re
17.896 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
17.896 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
17.896 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
17.896 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
17.896 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
17.896 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
17.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
17.896 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
17.896 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
17.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re
17.896 * [taylor]: Taking taylor expansion of re in re
17.896 * [backup-simplify]: Simplify 0 into 0
17.897 * [backup-simplify]: Simplify 1 into 1
17.897 * [backup-simplify]: Simplify (/ 1 1) into 1
17.897 * [taylor]: Taking taylor expansion of (/ 1 re) in re
17.897 * [taylor]: Taking taylor expansion of re in re
17.897 * [backup-simplify]: Simplify 0 into 0
17.897 * [backup-simplify]: Simplify 1 into 1
17.897 * [backup-simplify]: Simplify (/ 1 1) into 1
17.897 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
17.897 * [taylor]: Taking taylor expansion of (/ 1 im) in re
17.897 * [taylor]: Taking taylor expansion of im in re
17.897 * [backup-simplify]: Simplify im into im
17.898 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
17.898 * [taylor]: Taking taylor expansion of (/ 1 im) in re
17.898 * [taylor]: Taking taylor expansion of im in re
17.898 * [backup-simplify]: Simplify im into im
17.898 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
17.898 * [backup-simplify]: Simplify (* 1 1) into 1
17.898 * [backup-simplify]: Simplify (+ 1 0) into 1
17.899 * [backup-simplify]: Simplify (sqrt 1) into 1
17.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.901 * [backup-simplify]: Simplify (+ 0 0) into 0
17.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.902 * [backup-simplify]: Simplify (sqrt 0) into 0
17.903 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.903 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
17.903 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
17.904 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
17.904 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
17.904 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
17.904 * [taylor]: Taking taylor expansion of (/ 1 re) in re
17.904 * [taylor]: Taking taylor expansion of re in re
17.904 * [backup-simplify]: Simplify 0 into 0
17.904 * [backup-simplify]: Simplify 1 into 1
17.904 * [backup-simplify]: Simplify (/ 1 1) into 1
17.904 * [taylor]: Taking taylor expansion of (/ 1 re) in re
17.904 * [taylor]: Taking taylor expansion of re in re
17.904 * [backup-simplify]: Simplify 0 into 0
17.904 * [backup-simplify]: Simplify 1 into 1
17.904 * [backup-simplify]: Simplify (/ 1 1) into 1
17.904 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
17.904 * [taylor]: Taking taylor expansion of (/ 1 im) in re
17.904 * [taylor]: Taking taylor expansion of im in re
17.904 * [backup-simplify]: Simplify im into im
17.904 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
17.904 * [taylor]: Taking taylor expansion of (/ 1 im) in re
17.904 * [taylor]: Taking taylor expansion of im in re
17.904 * [backup-simplify]: Simplify im into im
17.904 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
17.905 * [backup-simplify]: Simplify (* 1 1) into 1
17.905 * [backup-simplify]: Simplify (+ 1 0) into 1
17.905 * [backup-simplify]: Simplify (sqrt 1) into 1
17.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.907 * [backup-simplify]: Simplify (+ 0 0) into 0
17.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.907 * [backup-simplify]: Simplify (sqrt 0) into 0
17.908 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.908 * [taylor]: Taking taylor expansion of (/ 1 re) in re
17.908 * [taylor]: Taking taylor expansion of re in re
17.908 * [backup-simplify]: Simplify 0 into 0
17.908 * [backup-simplify]: Simplify 1 into 1
17.908 * [backup-simplify]: Simplify (/ 1 1) into 1
17.908 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
17.908 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
17.909 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
17.909 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
17.909 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
17.909 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
17.909 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
17.909 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
17.909 * [taylor]: Taking taylor expansion of (/ 1 re) in re
17.909 * [taylor]: Taking taylor expansion of re in re
17.909 * [backup-simplify]: Simplify 0 into 0
17.909 * [backup-simplify]: Simplify 1 into 1
17.909 * [backup-simplify]: Simplify (/ 1 1) into 1
17.909 * [taylor]: Taking taylor expansion of (/ 1 re) in re
17.909 * [taylor]: Taking taylor expansion of re in re
17.909 * [backup-simplify]: Simplify 0 into 0
17.909 * [backup-simplify]: Simplify 1 into 1
17.909 * [backup-simplify]: Simplify (/ 1 1) into 1
17.909 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
17.909 * [taylor]: Taking taylor expansion of (/ 1 im) in re
17.909 * [taylor]: Taking taylor expansion of im in re
17.909 * [backup-simplify]: Simplify im into im
17.909 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
17.910 * [taylor]: Taking taylor expansion of (/ 1 im) in re
17.910 * [taylor]: Taking taylor expansion of im in re
17.910 * [backup-simplify]: Simplify im into im
17.910 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
17.910 * [backup-simplify]: Simplify (* 1 1) into 1
17.910 * [backup-simplify]: Simplify (+ 1 0) into 1
17.910 * [backup-simplify]: Simplify (sqrt 1) into 1
17.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.912 * [backup-simplify]: Simplify (+ 0 0) into 0
17.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.912 * [backup-simplify]: Simplify (sqrt 0) into 0
17.913 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.913 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
17.913 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
17.913 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
17.913 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
17.914 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
17.914 * [taylor]: Taking taylor expansion of (/ 1 re) in re
17.914 * [taylor]: Taking taylor expansion of re in re
17.914 * [backup-simplify]: Simplify 0 into 0
17.914 * [backup-simplify]: Simplify 1 into 1
17.914 * [backup-simplify]: Simplify (/ 1 1) into 1
17.914 * [taylor]: Taking taylor expansion of (/ 1 re) in re
17.914 * [taylor]: Taking taylor expansion of re in re
17.914 * [backup-simplify]: Simplify 0 into 0
17.914 * [backup-simplify]: Simplify 1 into 1
17.914 * [backup-simplify]: Simplify (/ 1 1) into 1
17.914 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
17.914 * [taylor]: Taking taylor expansion of (/ 1 im) in re
17.914 * [taylor]: Taking taylor expansion of im in re
17.914 * [backup-simplify]: Simplify im into im
17.914 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
17.914 * [taylor]: Taking taylor expansion of (/ 1 im) in re
17.914 * [taylor]: Taking taylor expansion of im in re
17.914 * [backup-simplify]: Simplify im into im
17.914 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
17.915 * [backup-simplify]: Simplify (* 1 1) into 1
17.915 * [backup-simplify]: Simplify (+ 1 0) into 1
17.915 * [backup-simplify]: Simplify (sqrt 1) into 1
17.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.921 * [backup-simplify]: Simplify (+ 0 0) into 0
17.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.921 * [backup-simplify]: Simplify (sqrt 0) into 0
17.922 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re
17.922 * [taylor]: Taking taylor expansion of re in re
17.922 * [backup-simplify]: Simplify 0 into 0
17.922 * [backup-simplify]: Simplify 1 into 1
17.923 * [backup-simplify]: Simplify (/ 1 1) into 1
17.923 * [backup-simplify]: Simplify (* 0 0) into 0
17.923 * [backup-simplify]: Simplify (+ 0 0) into 0
17.923 * [taylor]: Taking taylor expansion of 0 in im
17.923 * [backup-simplify]: Simplify 0 into 0
17.924 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
17.924 * [backup-simplify]: Simplify (+ 0 1) into 1
17.924 * [taylor]: Taking taylor expansion of 1 in im
17.924 * [backup-simplify]: Simplify 1 into 1
17.926 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.928 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.929 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
17.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.930 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
17.930 * [taylor]: Taking taylor expansion of (- +nan.0) in im
17.930 * [taylor]: Taking taylor expansion of +nan.0 in im
17.930 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.930 * [backup-simplify]: Simplify 0 into 0
17.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.933 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
17.933 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
17.934 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
17.936 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
17.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.939 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
17.939 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
17.941 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
17.943 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
17.945 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
17.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.947 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
17.947 * [taylor]: Taking taylor expansion of (- +nan.0) in im
17.947 * [taylor]: Taking taylor expansion of +nan.0 in im
17.947 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.947 * [backup-simplify]: Simplify 1 into 1
17.947 * [backup-simplify]: Simplify 0 into 0
17.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
17.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
17.951 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
17.951 * [backup-simplify]: Simplify (+ 0 0) into 0
17.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
17.953 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
17.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
17.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
17.957 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
17.957 * [backup-simplify]: Simplify (+ 0 0) into 0
17.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
17.959 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
17.961 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
17.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.963 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
17.963 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
17.963 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
17.963 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
17.963 * [taylor]: Taking taylor expansion of +nan.0 in im
17.963 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
17.963 * [taylor]: Taking taylor expansion of (pow im 2) in im
17.963 * [taylor]: Taking taylor expansion of im in im
17.963 * [backup-simplify]: Simplify 0 into 0
17.963 * [backup-simplify]: Simplify 1 into 1
17.964 * [backup-simplify]: Simplify (* 1 1) into 1
17.964 * [backup-simplify]: Simplify (/ 1 1) into 1
17.964 * [taylor]: Taking taylor expansion of (- +nan.0) in im
17.964 * [taylor]: Taking taylor expansion of +nan.0 in im
17.964 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.965 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
17.965 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
17.966 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
17.966 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.966 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.967 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.968 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* 1 (* 1 (/ 1 (/ 1 re)))))) into (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))
17.969 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))
17.969 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in (re im) around 0
17.969 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im
17.969 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
17.969 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
17.969 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
17.969 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
17.969 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
17.969 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
17.969 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
17.969 * [taylor]: Taking taylor expansion of (/ -1 re) in im
17.969 * [taylor]: Taking taylor expansion of -1 in im
17.969 * [backup-simplify]: Simplify -1 into -1
17.969 * [taylor]: Taking taylor expansion of re in im
17.969 * [backup-simplify]: Simplify re into re
17.969 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
17.969 * [taylor]: Taking taylor expansion of (/ -1 re) in im
17.970 * [taylor]: Taking taylor expansion of -1 in im
17.970 * [backup-simplify]: Simplify -1 into -1
17.970 * [taylor]: Taking taylor expansion of re in im
17.970 * [backup-simplify]: Simplify re into re
17.970 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
17.970 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
17.970 * [taylor]: Taking taylor expansion of (/ -1 im) in im
17.970 * [taylor]: Taking taylor expansion of -1 in im
17.970 * [backup-simplify]: Simplify -1 into -1
17.970 * [taylor]: Taking taylor expansion of im in im
17.970 * [backup-simplify]: Simplify 0 into 0
17.970 * [backup-simplify]: Simplify 1 into 1
17.970 * [backup-simplify]: Simplify (/ -1 1) into -1
17.970 * [taylor]: Taking taylor expansion of (/ -1 im) in im
17.970 * [taylor]: Taking taylor expansion of -1 in im
17.970 * [backup-simplify]: Simplify -1 into -1
17.970 * [taylor]: Taking taylor expansion of im in im
17.970 * [backup-simplify]: Simplify 0 into 0
17.971 * [backup-simplify]: Simplify 1 into 1
17.971 * [backup-simplify]: Simplify (/ -1 1) into -1
17.971 * [backup-simplify]: Simplify (* -1 -1) into 1
17.972 * [backup-simplify]: Simplify (+ 0 1) into 1
17.972 * [backup-simplify]: Simplify (sqrt 1) into 1
17.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.974 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
17.975 * [backup-simplify]: Simplify (+ 0 0) into 0
17.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.976 * [backup-simplify]: Simplify (sqrt 0) into 0
17.977 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.977 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
17.978 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
17.978 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
17.978 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
17.978 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
17.978 * [taylor]: Taking taylor expansion of (/ -1 re) in im
17.978 * [taylor]: Taking taylor expansion of -1 in im
17.978 * [backup-simplify]: Simplify -1 into -1
17.978 * [taylor]: Taking taylor expansion of re in im
17.978 * [backup-simplify]: Simplify re into re
17.978 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
17.978 * [taylor]: Taking taylor expansion of (/ -1 re) in im
17.978 * [taylor]: Taking taylor expansion of -1 in im
17.978 * [backup-simplify]: Simplify -1 into -1
17.978 * [taylor]: Taking taylor expansion of re in im
17.978 * [backup-simplify]: Simplify re into re
17.978 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
17.978 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
17.978 * [taylor]: Taking taylor expansion of (/ -1 im) in im
17.978 * [taylor]: Taking taylor expansion of -1 in im
17.978 * [backup-simplify]: Simplify -1 into -1
17.978 * [taylor]: Taking taylor expansion of im in im
17.978 * [backup-simplify]: Simplify 0 into 0
17.978 * [backup-simplify]: Simplify 1 into 1
17.979 * [backup-simplify]: Simplify (/ -1 1) into -1
17.979 * [taylor]: Taking taylor expansion of (/ -1 im) in im
17.979 * [taylor]: Taking taylor expansion of -1 in im
17.979 * [backup-simplify]: Simplify -1 into -1
17.979 * [taylor]: Taking taylor expansion of im in im
17.979 * [backup-simplify]: Simplify 0 into 0
17.979 * [backup-simplify]: Simplify 1 into 1
17.980 * [backup-simplify]: Simplify (/ -1 1) into -1
17.980 * [backup-simplify]: Simplify (* -1 -1) into 1
17.980 * [backup-simplify]: Simplify (+ 0 1) into 1
17.981 * [backup-simplify]: Simplify (sqrt 1) into 1
17.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.983 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
17.984 * [backup-simplify]: Simplify (+ 0 0) into 0
17.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.985 * [backup-simplify]: Simplify (sqrt 0) into 0
17.986 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.986 * [taylor]: Taking taylor expansion of (/ -1 re) in im
17.986 * [taylor]: Taking taylor expansion of -1 in im
17.986 * [backup-simplify]: Simplify -1 into -1
17.986 * [taylor]: Taking taylor expansion of re in im
17.986 * [backup-simplify]: Simplify re into re
17.986 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
17.986 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
17.987 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
17.987 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
17.987 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
17.987 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
17.987 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
17.987 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
17.987 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
17.987 * [taylor]: Taking taylor expansion of (/ -1 re) in re
17.987 * [taylor]: Taking taylor expansion of -1 in re
17.987 * [backup-simplify]: Simplify -1 into -1
17.987 * [taylor]: Taking taylor expansion of re in re
17.987 * [backup-simplify]: Simplify 0 into 0
17.987 * [backup-simplify]: Simplify 1 into 1
17.987 * [backup-simplify]: Simplify (/ -1 1) into -1
17.988 * [taylor]: Taking taylor expansion of (/ -1 re) in re
17.988 * [taylor]: Taking taylor expansion of -1 in re
17.988 * [backup-simplify]: Simplify -1 into -1
17.988 * [taylor]: Taking taylor expansion of re in re
17.988 * [backup-simplify]: Simplify 0 into 0
17.988 * [backup-simplify]: Simplify 1 into 1
17.988 * [backup-simplify]: Simplify (/ -1 1) into -1
17.988 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
17.988 * [taylor]: Taking taylor expansion of (/ -1 im) in re
17.988 * [taylor]: Taking taylor expansion of -1 in re
17.988 * [backup-simplify]: Simplify -1 into -1
17.988 * [taylor]: Taking taylor expansion of im in re
17.988 * [backup-simplify]: Simplify im into im
17.988 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
17.988 * [taylor]: Taking taylor expansion of (/ -1 im) in re
17.988 * [taylor]: Taking taylor expansion of -1 in re
17.988 * [backup-simplify]: Simplify -1 into -1
17.988 * [taylor]: Taking taylor expansion of im in re
17.988 * [backup-simplify]: Simplify im into im
17.989 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
17.989 * [backup-simplify]: Simplify (* -1 -1) into 1
17.989 * [backup-simplify]: Simplify (+ 1 0) into 1
17.990 * [backup-simplify]: Simplify (sqrt 1) into 1
17.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.992 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
17.992 * [backup-simplify]: Simplify (+ 0 0) into 0
17.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.993 * [backup-simplify]: Simplify (sqrt 0) into 0
17.995 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.995 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
17.995 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
17.995 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
17.995 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
17.995 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
17.995 * [taylor]: Taking taylor expansion of (/ -1 re) in re
17.995 * [taylor]: Taking taylor expansion of -1 in re
17.995 * [backup-simplify]: Simplify -1 into -1
17.995 * [taylor]: Taking taylor expansion of re in re
17.995 * [backup-simplify]: Simplify 0 into 0
17.995 * [backup-simplify]: Simplify 1 into 1
17.995 * [backup-simplify]: Simplify (/ -1 1) into -1
17.996 * [taylor]: Taking taylor expansion of (/ -1 re) in re
17.996 * [taylor]: Taking taylor expansion of -1 in re
17.996 * [backup-simplify]: Simplify -1 into -1
17.996 * [taylor]: Taking taylor expansion of re in re
17.996 * [backup-simplify]: Simplify 0 into 0
17.996 * [backup-simplify]: Simplify 1 into 1
17.996 * [backup-simplify]: Simplify (/ -1 1) into -1
17.996 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
17.996 * [taylor]: Taking taylor expansion of (/ -1 im) in re
17.996 * [taylor]: Taking taylor expansion of -1 in re
17.996 * [backup-simplify]: Simplify -1 into -1
17.996 * [taylor]: Taking taylor expansion of im in re
17.996 * [backup-simplify]: Simplify im into im
17.996 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
17.996 * [taylor]: Taking taylor expansion of (/ -1 im) in re
17.996 * [taylor]: Taking taylor expansion of -1 in re
17.996 * [backup-simplify]: Simplify -1 into -1
17.996 * [taylor]: Taking taylor expansion of im in re
17.996 * [backup-simplify]: Simplify im into im
17.996 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
17.997 * [backup-simplify]: Simplify (* -1 -1) into 1
17.997 * [backup-simplify]: Simplify (+ 1 0) into 1
17.998 * [backup-simplify]: Simplify (sqrt 1) into 1
17.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.000 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.000 * [backup-simplify]: Simplify (+ 0 0) into 0
18.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.001 * [backup-simplify]: Simplify (sqrt 0) into 0
18.003 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.003 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.003 * [taylor]: Taking taylor expansion of -1 in re
18.003 * [backup-simplify]: Simplify -1 into -1
18.003 * [taylor]: Taking taylor expansion of re in re
18.003 * [backup-simplify]: Simplify 0 into 0
18.003 * [backup-simplify]: Simplify 1 into 1
18.003 * [backup-simplify]: Simplify (/ -1 1) into -1
18.003 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
18.004 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
18.004 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
18.004 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
18.004 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.004 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.004 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.004 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.004 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.004 * [taylor]: Taking taylor expansion of -1 in re
18.004 * [backup-simplify]: Simplify -1 into -1
18.004 * [taylor]: Taking taylor expansion of re in re
18.004 * [backup-simplify]: Simplify 0 into 0
18.004 * [backup-simplify]: Simplify 1 into 1
18.004 * [backup-simplify]: Simplify (/ -1 1) into -1
18.004 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.004 * [taylor]: Taking taylor expansion of -1 in re
18.005 * [backup-simplify]: Simplify -1 into -1
18.005 * [taylor]: Taking taylor expansion of re in re
18.005 * [backup-simplify]: Simplify 0 into 0
18.005 * [backup-simplify]: Simplify 1 into 1
18.005 * [backup-simplify]: Simplify (/ -1 1) into -1
18.005 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.005 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.005 * [taylor]: Taking taylor expansion of -1 in re
18.005 * [backup-simplify]: Simplify -1 into -1
18.005 * [taylor]: Taking taylor expansion of im in re
18.005 * [backup-simplify]: Simplify im into im
18.005 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.005 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.005 * [taylor]: Taking taylor expansion of -1 in re
18.005 * [backup-simplify]: Simplify -1 into -1
18.005 * [taylor]: Taking taylor expansion of im in re
18.005 * [backup-simplify]: Simplify im into im
18.005 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.006 * [backup-simplify]: Simplify (* -1 -1) into 1
18.006 * [backup-simplify]: Simplify (+ 1 0) into 1
18.007 * [backup-simplify]: Simplify (sqrt 1) into 1
18.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.009 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.009 * [backup-simplify]: Simplify (+ 0 0) into 0
18.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.010 * [backup-simplify]: Simplify (sqrt 0) into 0
18.012 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.012 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
18.012 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.012 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.012 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.012 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.012 * [taylor]: Taking taylor expansion of -1 in re
18.012 * [backup-simplify]: Simplify -1 into -1
18.012 * [taylor]: Taking taylor expansion of re in re
18.012 * [backup-simplify]: Simplify 0 into 0
18.012 * [backup-simplify]: Simplify 1 into 1
18.013 * [backup-simplify]: Simplify (/ -1 1) into -1
18.013 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.013 * [taylor]: Taking taylor expansion of -1 in re
18.013 * [backup-simplify]: Simplify -1 into -1
18.013 * [taylor]: Taking taylor expansion of re in re
18.013 * [backup-simplify]: Simplify 0 into 0
18.013 * [backup-simplify]: Simplify 1 into 1
18.013 * [backup-simplify]: Simplify (/ -1 1) into -1
18.013 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.013 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.013 * [taylor]: Taking taylor expansion of -1 in re
18.013 * [backup-simplify]: Simplify -1 into -1
18.013 * [taylor]: Taking taylor expansion of im in re
18.014 * [backup-simplify]: Simplify im into im
18.014 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.014 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.014 * [taylor]: Taking taylor expansion of -1 in re
18.014 * [backup-simplify]: Simplify -1 into -1
18.014 * [taylor]: Taking taylor expansion of im in re
18.014 * [backup-simplify]: Simplify im into im
18.014 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.014 * [backup-simplify]: Simplify (* -1 -1) into 1
18.015 * [backup-simplify]: Simplify (+ 1 0) into 1
18.015 * [backup-simplify]: Simplify (sqrt 1) into 1
18.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.017 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.018 * [backup-simplify]: Simplify (+ 0 0) into 0
18.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.019 * [backup-simplify]: Simplify (sqrt 0) into 0
18.020 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.020 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.020 * [taylor]: Taking taylor expansion of -1 in re
18.020 * [backup-simplify]: Simplify -1 into -1
18.020 * [taylor]: Taking taylor expansion of re in re
18.020 * [backup-simplify]: Simplify 0 into 0
18.020 * [backup-simplify]: Simplify 1 into 1
18.021 * [backup-simplify]: Simplify (/ -1 1) into -1
18.021 * [backup-simplify]: Simplify (* 0 0) into 0
18.021 * [backup-simplify]: Simplify (+ 0 0) into 0
18.021 * [taylor]: Taking taylor expansion of 0 in im
18.021 * [backup-simplify]: Simplify 0 into 0
18.022 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
18.023 * [backup-simplify]: Simplify (+ 0 -1) into -1
18.023 * [taylor]: Taking taylor expansion of -1 in im
18.023 * [backup-simplify]: Simplify -1 into -1
18.026 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.028 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.031 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
18.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.033 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
18.033 * [taylor]: Taking taylor expansion of (- +nan.0) in im
18.033 * [taylor]: Taking taylor expansion of +nan.0 in im
18.033 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.033 * [backup-simplify]: Simplify 0 into 0
18.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.035 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.036 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.036 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.037 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.038 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
18.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.039 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.040 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.040 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.041 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.042 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
18.043 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
18.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.044 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
18.044 * [taylor]: Taking taylor expansion of (- +nan.0) in im
18.044 * [taylor]: Taking taylor expansion of +nan.0 in im
18.044 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.044 * [backup-simplify]: Simplify -1 into -1
18.044 * [backup-simplify]: Simplify 0 into 0
18.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.046 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.046 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.046 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.046 * [backup-simplify]: Simplify (+ 0 0) into 0
18.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.048 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.049 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.049 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.050 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.050 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.050 * [backup-simplify]: Simplify (+ 0 0) into 0
18.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.056 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.058 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.059 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.059 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
18.059 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
18.059 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
18.059 * [taylor]: Taking taylor expansion of +nan.0 in im
18.059 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.059 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.059 * [taylor]: Taking taylor expansion of im in im
18.059 * [backup-simplify]: Simplify 0 into 0
18.059 * [backup-simplify]: Simplify 1 into 1
18.060 * [backup-simplify]: Simplify (* 1 1) into 1
18.060 * [backup-simplify]: Simplify (/ 1 1) into 1
18.060 * [taylor]: Taking taylor expansion of (- +nan.0) in im
18.060 * [taylor]: Taking taylor expansion of +nan.0 in im
18.060 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.061 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
18.061 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
18.062 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
18.062 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
18.063 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
18.063 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
18.064 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* -1 (* 1 (/ 1 (/ 1 (- re))))))) into (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))
18.065 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1)
18.065 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ re (hypot re im))
18.065 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
18.065 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
18.065 * [taylor]: Taking taylor expansion of re in im
18.065 * [backup-simplify]: Simplify re into re
18.065 * [taylor]: Taking taylor expansion of (hypot re im) in im
18.065 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.065 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
18.065 * [taylor]: Taking taylor expansion of (* re re) in im
18.065 * [taylor]: Taking taylor expansion of re in im
18.065 * [backup-simplify]: Simplify re into re
18.065 * [taylor]: Taking taylor expansion of re in im
18.065 * [backup-simplify]: Simplify re into re
18.065 * [taylor]: Taking taylor expansion of (* im im) in im
18.065 * [taylor]: Taking taylor expansion of im in im
18.065 * [backup-simplify]: Simplify 0 into 0
18.065 * [backup-simplify]: Simplify 1 into 1
18.065 * [taylor]: Taking taylor expansion of im in im
18.065 * [backup-simplify]: Simplify 0 into 0
18.065 * [backup-simplify]: Simplify 1 into 1
18.066 * [backup-simplify]: Simplify (* re re) into (pow re 2)
18.066 * [backup-simplify]: Simplify (* 0 0) into 0
18.066 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
18.066 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
18.066 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
18.067 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.068 * [backup-simplify]: Simplify (+ 0 0) into 0
18.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
18.068 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
18.068 * [taylor]: Taking taylor expansion of re in re
18.068 * [backup-simplify]: Simplify 0 into 0
18.068 * [backup-simplify]: Simplify 1 into 1
18.068 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.068 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.068 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.068 * [taylor]: Taking taylor expansion of (* re re) in re
18.068 * [taylor]: Taking taylor expansion of re in re
18.068 * [backup-simplify]: Simplify 0 into 0
18.069 * [backup-simplify]: Simplify 1 into 1
18.069 * [taylor]: Taking taylor expansion of re in re
18.069 * [backup-simplify]: Simplify 0 into 0
18.069 * [backup-simplify]: Simplify 1 into 1
18.069 * [taylor]: Taking taylor expansion of (* im im) in re
18.069 * [taylor]: Taking taylor expansion of im in re
18.069 * [backup-simplify]: Simplify im into im
18.069 * [taylor]: Taking taylor expansion of im in re
18.069 * [backup-simplify]: Simplify im into im
18.069 * [backup-simplify]: Simplify (* 0 0) into 0
18.069 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.069 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.070 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.070 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.070 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.071 * [backup-simplify]: Simplify (+ 0 0) into 0
18.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.071 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
18.071 * [taylor]: Taking taylor expansion of re in re
18.071 * [backup-simplify]: Simplify 0 into 0
18.071 * [backup-simplify]: Simplify 1 into 1
18.071 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.071 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.071 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.071 * [taylor]: Taking taylor expansion of (* re re) in re
18.071 * [taylor]: Taking taylor expansion of re in re
18.071 * [backup-simplify]: Simplify 0 into 0
18.071 * [backup-simplify]: Simplify 1 into 1
18.071 * [taylor]: Taking taylor expansion of re in re
18.071 * [backup-simplify]: Simplify 0 into 0
18.071 * [backup-simplify]: Simplify 1 into 1
18.071 * [taylor]: Taking taylor expansion of (* im im) in re
18.071 * [taylor]: Taking taylor expansion of im in re
18.071 * [backup-simplify]: Simplify im into im
18.071 * [taylor]: Taking taylor expansion of im in re
18.071 * [backup-simplify]: Simplify im into im
18.072 * [backup-simplify]: Simplify (* 0 0) into 0
18.072 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.072 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.072 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.073 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.073 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.073 * [backup-simplify]: Simplify (+ 0 0) into 0
18.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.074 * [backup-simplify]: Simplify (+ 0 im) into im
18.074 * [taylor]: Taking taylor expansion of im in im
18.074 * [backup-simplify]: Simplify 0 into 0
18.074 * [backup-simplify]: Simplify 1 into 1
18.074 * [backup-simplify]: Simplify 0 into 0
18.074 * [backup-simplify]: Simplify (+ 1 0) into 1
18.074 * [taylor]: Taking taylor expansion of 1 in im
18.074 * [backup-simplify]: Simplify 1 into 1
18.074 * [backup-simplify]: Simplify 1 into 1
18.074 * [backup-simplify]: Simplify 1 into 1
18.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
18.075 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
18.075 * [backup-simplify]: Simplify (+ 1 0) into 1
18.076 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
18.076 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
18.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
18.076 * [taylor]: Taking taylor expansion of 1/2 in im
18.076 * [backup-simplify]: Simplify 1/2 into 1/2
18.076 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.076 * [taylor]: Taking taylor expansion of im in im
18.076 * [backup-simplify]: Simplify 0 into 0
18.076 * [backup-simplify]: Simplify 1 into 1
18.076 * [backup-simplify]: Simplify (/ 1 1) into 1
18.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.077 * [backup-simplify]: Simplify 0 into 0
18.077 * [backup-simplify]: Simplify 0 into 0
18.077 * [backup-simplify]: Simplify 0 into 0
18.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
18.078 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
18.079 * [backup-simplify]: Simplify (+ 0 0) into 0
18.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
18.079 * [backup-simplify]: Simplify (+ 0 0) into 0
18.079 * [taylor]: Taking taylor expansion of 0 in im
18.079 * [backup-simplify]: Simplify 0 into 0
18.079 * [backup-simplify]: Simplify 0 into 0
18.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
18.080 * [backup-simplify]: Simplify 0 into 0
18.080 * [backup-simplify]: Simplify 0 into 0
18.080 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
18.080 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
18.080 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
18.080 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
18.080 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.080 * [taylor]: Taking taylor expansion of re in im
18.080 * [backup-simplify]: Simplify re into re
18.080 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.080 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
18.081 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.081 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
18.081 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
18.081 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.081 * [taylor]: Taking taylor expansion of re in im
18.081 * [backup-simplify]: Simplify re into re
18.081 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.081 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.081 * [taylor]: Taking taylor expansion of re in im
18.081 * [backup-simplify]: Simplify re into re
18.081 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.081 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
18.081 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.081 * [taylor]: Taking taylor expansion of im in im
18.081 * [backup-simplify]: Simplify 0 into 0
18.081 * [backup-simplify]: Simplify 1 into 1
18.081 * [backup-simplify]: Simplify (/ 1 1) into 1
18.081 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.081 * [taylor]: Taking taylor expansion of im in im
18.081 * [backup-simplify]: Simplify 0 into 0
18.081 * [backup-simplify]: Simplify 1 into 1
18.081 * [backup-simplify]: Simplify (/ 1 1) into 1
18.082 * [backup-simplify]: Simplify (* 1 1) into 1
18.082 * [backup-simplify]: Simplify (+ 0 1) into 1
18.082 * [backup-simplify]: Simplify (sqrt 1) into 1
18.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.084 * [backup-simplify]: Simplify (+ 0 0) into 0
18.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.084 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
18.084 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.084 * [taylor]: Taking taylor expansion of re in re
18.084 * [backup-simplify]: Simplify 0 into 0
18.084 * [backup-simplify]: Simplify 1 into 1
18.084 * [backup-simplify]: Simplify (/ 1 1) into 1
18.084 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.084 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.085 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.085 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.085 * [taylor]: Taking taylor expansion of re in re
18.085 * [backup-simplify]: Simplify 0 into 0
18.085 * [backup-simplify]: Simplify 1 into 1
18.085 * [backup-simplify]: Simplify (/ 1 1) into 1
18.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.085 * [taylor]: Taking taylor expansion of re in re
18.085 * [backup-simplify]: Simplify 0 into 0
18.085 * [backup-simplify]: Simplify 1 into 1
18.085 * [backup-simplify]: Simplify (/ 1 1) into 1
18.085 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.085 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.085 * [taylor]: Taking taylor expansion of im in re
18.085 * [backup-simplify]: Simplify im into im
18.085 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.085 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.085 * [taylor]: Taking taylor expansion of im in re
18.085 * [backup-simplify]: Simplify im into im
18.085 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.086 * [backup-simplify]: Simplify (* 1 1) into 1
18.086 * [backup-simplify]: Simplify (+ 1 0) into 1
18.086 * [backup-simplify]: Simplify (sqrt 1) into 1
18.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.088 * [backup-simplify]: Simplify (+ 0 0) into 0
18.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.088 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
18.088 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.088 * [taylor]: Taking taylor expansion of re in re
18.088 * [backup-simplify]: Simplify 0 into 0
18.088 * [backup-simplify]: Simplify 1 into 1
18.088 * [backup-simplify]: Simplify (/ 1 1) into 1
18.088 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.088 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.088 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.089 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.089 * [taylor]: Taking taylor expansion of re in re
18.089 * [backup-simplify]: Simplify 0 into 0
18.089 * [backup-simplify]: Simplify 1 into 1
18.089 * [backup-simplify]: Simplify (/ 1 1) into 1
18.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.089 * [taylor]: Taking taylor expansion of re in re
18.089 * [backup-simplify]: Simplify 0 into 0
18.089 * [backup-simplify]: Simplify 1 into 1
18.089 * [backup-simplify]: Simplify (/ 1 1) into 1
18.089 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.089 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.089 * [taylor]: Taking taylor expansion of im in re
18.089 * [backup-simplify]: Simplify im into im
18.089 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.089 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.089 * [taylor]: Taking taylor expansion of im in re
18.089 * [backup-simplify]: Simplify im into im
18.089 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.090 * [backup-simplify]: Simplify (* 1 1) into 1
18.090 * [backup-simplify]: Simplify (+ 1 0) into 1
18.090 * [backup-simplify]: Simplify (sqrt 1) into 1
18.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.092 * [backup-simplify]: Simplify (+ 0 0) into 0
18.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.092 * [backup-simplify]: Simplify (+ 1 1) into 2
18.092 * [taylor]: Taking taylor expansion of 2 in im
18.092 * [backup-simplify]: Simplify 2 into 2
18.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.093 * [backup-simplify]: Simplify (+ 0 0) into 0
18.093 * [taylor]: Taking taylor expansion of 0 in im
18.093 * [backup-simplify]: Simplify 0 into 0
18.093 * [backup-simplify]: Simplify 2 into 2
18.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.095 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
18.095 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.096 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.096 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
18.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
18.096 * [taylor]: Taking taylor expansion of 1/2 in im
18.096 * [backup-simplify]: Simplify 1/2 into 1/2
18.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.096 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.096 * [taylor]: Taking taylor expansion of im in im
18.096 * [backup-simplify]: Simplify 0 into 0
18.096 * [backup-simplify]: Simplify 1 into 1
18.097 * [backup-simplify]: Simplify (* 1 1) into 1
18.097 * [backup-simplify]: Simplify (/ 1 1) into 1
18.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.098 * [backup-simplify]: Simplify 0 into 0
18.098 * [backup-simplify]: Simplify 0 into 0
18.098 * [backup-simplify]: Simplify 0 into 0
18.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.101 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
18.101 * [backup-simplify]: Simplify (+ 0 0) into 0
18.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.101 * [backup-simplify]: Simplify (+ 0 0) into 0
18.101 * [taylor]: Taking taylor expansion of 0 in im
18.101 * [backup-simplify]: Simplify 0 into 0
18.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
18.103 * [backup-simplify]: Simplify 0 into 0
18.104 * [backup-simplify]: Simplify 0 into 0
18.104 * [backup-simplify]: Simplify 0 into 0
18.104 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
18.104 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
18.104 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
18.104 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
18.104 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
18.104 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.104 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
18.104 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
18.104 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.104 * [taylor]: Taking taylor expansion of -1 in im
18.104 * [backup-simplify]: Simplify -1 into -1
18.104 * [taylor]: Taking taylor expansion of re in im
18.104 * [backup-simplify]: Simplify re into re
18.105 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.105 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.105 * [taylor]: Taking taylor expansion of -1 in im
18.105 * [backup-simplify]: Simplify -1 into -1
18.105 * [taylor]: Taking taylor expansion of re in im
18.105 * [backup-simplify]: Simplify re into re
18.105 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.105 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
18.105 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.105 * [taylor]: Taking taylor expansion of -1 in im
18.105 * [backup-simplify]: Simplify -1 into -1
18.105 * [taylor]: Taking taylor expansion of im in im
18.105 * [backup-simplify]: Simplify 0 into 0
18.105 * [backup-simplify]: Simplify 1 into 1
18.105 * [backup-simplify]: Simplify (/ -1 1) into -1
18.105 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.105 * [taylor]: Taking taylor expansion of -1 in im
18.106 * [backup-simplify]: Simplify -1 into -1
18.106 * [taylor]: Taking taylor expansion of im in im
18.106 * [backup-simplify]: Simplify 0 into 0
18.106 * [backup-simplify]: Simplify 1 into 1
18.106 * [backup-simplify]: Simplify (/ -1 1) into -1
18.106 * [backup-simplify]: Simplify (* -1 -1) into 1
18.107 * [backup-simplify]: Simplify (+ 0 1) into 1
18.107 * [backup-simplify]: Simplify (sqrt 1) into 1
18.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.110 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.110 * [backup-simplify]: Simplify (+ 0 0) into 0
18.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.111 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.111 * [taylor]: Taking taylor expansion of re in im
18.111 * [backup-simplify]: Simplify re into re
18.111 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.111 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
18.111 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.111 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.111 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.111 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.111 * [taylor]: Taking taylor expansion of -1 in re
18.111 * [backup-simplify]: Simplify -1 into -1
18.111 * [taylor]: Taking taylor expansion of re in re
18.111 * [backup-simplify]: Simplify 0 into 0
18.111 * [backup-simplify]: Simplify 1 into 1
18.112 * [backup-simplify]: Simplify (/ -1 1) into -1
18.112 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.112 * [taylor]: Taking taylor expansion of -1 in re
18.112 * [backup-simplify]: Simplify -1 into -1
18.112 * [taylor]: Taking taylor expansion of re in re
18.112 * [backup-simplify]: Simplify 0 into 0
18.112 * [backup-simplify]: Simplify 1 into 1
18.113 * [backup-simplify]: Simplify (/ -1 1) into -1
18.113 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.113 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.113 * [taylor]: Taking taylor expansion of -1 in re
18.113 * [backup-simplify]: Simplify -1 into -1
18.113 * [taylor]: Taking taylor expansion of im in re
18.113 * [backup-simplify]: Simplify im into im
18.113 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.113 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.113 * [taylor]: Taking taylor expansion of -1 in re
18.113 * [backup-simplify]: Simplify -1 into -1
18.113 * [taylor]: Taking taylor expansion of im in re
18.113 * [backup-simplify]: Simplify im into im
18.113 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.114 * [backup-simplify]: Simplify (* -1 -1) into 1
18.114 * [backup-simplify]: Simplify (+ 1 0) into 1
18.114 * [backup-simplify]: Simplify (sqrt 1) into 1
18.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.117 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.117 * [backup-simplify]: Simplify (+ 0 0) into 0
18.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.118 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.118 * [taylor]: Taking taylor expansion of re in re
18.118 * [backup-simplify]: Simplify 0 into 0
18.118 * [backup-simplify]: Simplify 1 into 1
18.118 * [backup-simplify]: Simplify (/ 1 1) into 1
18.118 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
18.119 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.119 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.119 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.119 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.119 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.119 * [taylor]: Taking taylor expansion of -1 in re
18.119 * [backup-simplify]: Simplify -1 into -1
18.119 * [taylor]: Taking taylor expansion of re in re
18.119 * [backup-simplify]: Simplify 0 into 0
18.119 * [backup-simplify]: Simplify 1 into 1
18.119 * [backup-simplify]: Simplify (/ -1 1) into -1
18.120 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.120 * [taylor]: Taking taylor expansion of -1 in re
18.120 * [backup-simplify]: Simplify -1 into -1
18.120 * [taylor]: Taking taylor expansion of re in re
18.120 * [backup-simplify]: Simplify 0 into 0
18.120 * [backup-simplify]: Simplify 1 into 1
18.120 * [backup-simplify]: Simplify (/ -1 1) into -1
18.120 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.120 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.120 * [taylor]: Taking taylor expansion of -1 in re
18.120 * [backup-simplify]: Simplify -1 into -1
18.120 * [taylor]: Taking taylor expansion of im in re
18.120 * [backup-simplify]: Simplify im into im
18.120 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.120 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.120 * [taylor]: Taking taylor expansion of -1 in re
18.120 * [backup-simplify]: Simplify -1 into -1
18.121 * [taylor]: Taking taylor expansion of im in re
18.121 * [backup-simplify]: Simplify im into im
18.121 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.121 * [backup-simplify]: Simplify (* -1 -1) into 1
18.121 * [backup-simplify]: Simplify (+ 1 0) into 1
18.122 * [backup-simplify]: Simplify (sqrt 1) into 1
18.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.124 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.125 * [backup-simplify]: Simplify (+ 0 0) into 0
18.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.125 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.126 * [taylor]: Taking taylor expansion of re in re
18.126 * [backup-simplify]: Simplify 0 into 0
18.126 * [backup-simplify]: Simplify 1 into 1
18.126 * [backup-simplify]: Simplify (/ 1 1) into 1
18.126 * [backup-simplify]: Simplify (- 1) into -1
18.127 * [backup-simplify]: Simplify (+ 1 -1) into 0
18.127 * [taylor]: Taking taylor expansion of 0 in im
18.127 * [backup-simplify]: Simplify 0 into 0
18.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.128 * [backup-simplify]: Simplify (- 0) into 0
18.129 * [backup-simplify]: Simplify (+ 0 0) into 0
18.129 * [taylor]: Taking taylor expansion of 0 in im
18.129 * [backup-simplify]: Simplify 0 into 0
18.129 * [backup-simplify]: Simplify 0 into 0
18.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.132 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.132 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.132 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.133 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.135 * [backup-simplify]: Simplify (- 0) into 0
18.135 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
18.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
18.135 * [taylor]: Taking taylor expansion of 1/2 in im
18.135 * [backup-simplify]: Simplify 1/2 into 1/2
18.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.135 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.135 * [taylor]: Taking taylor expansion of im in im
18.135 * [backup-simplify]: Simplify 0 into 0
18.135 * [backup-simplify]: Simplify 1 into 1
18.136 * [backup-simplify]: Simplify (* 1 1) into 1
18.136 * [backup-simplify]: Simplify (/ 1 1) into 1
18.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.138 * [backup-simplify]: Simplify 0 into 0
18.138 * [backup-simplify]: Simplify 0 into 0
18.138 * [backup-simplify]: Simplify 0 into 0
18.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.140 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.140 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.140 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.140 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.141 * [backup-simplify]: Simplify (+ 0 0) into 0
18.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.142 * [backup-simplify]: Simplify (- 0) into 0
18.142 * [backup-simplify]: Simplify (+ 0 0) into 0
18.142 * [taylor]: Taking taylor expansion of 0 in im
18.142 * [backup-simplify]: Simplify 0 into 0
18.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
18.144 * [backup-simplify]: Simplify 0 into 0
18.144 * [backup-simplify]: Simplify 0 into 0
18.144 * [backup-simplify]: Simplify 0 into 0
18.144 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
18.144 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))) into (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (+ re (hypot re im))))
18.144 * [approximate]: Taking taylor expansion of (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (+ re (hypot re im)))) in (re im) around 0
18.144 * [taylor]: Taking taylor expansion of (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (+ re (hypot re im)))) in im
18.144 * [taylor]: Taking taylor expansion of (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (+ re (hypot re im))) in im
18.144 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im
18.144 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
18.144 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
18.144 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
18.144 * [taylor]: Taking taylor expansion of (hypot re im) in im
18.145 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.145 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
18.145 * [taylor]: Taking taylor expansion of (* re re) in im
18.145 * [taylor]: Taking taylor expansion of re in im
18.145 * [backup-simplify]: Simplify re into re
18.145 * [taylor]: Taking taylor expansion of re in im
18.145 * [backup-simplify]: Simplify re into re
18.145 * [taylor]: Taking taylor expansion of (* im im) in im
18.145 * [taylor]: Taking taylor expansion of im in im
18.145 * [backup-simplify]: Simplify 0 into 0
18.145 * [backup-simplify]: Simplify 1 into 1
18.145 * [taylor]: Taking taylor expansion of im in im
18.145 * [backup-simplify]: Simplify 0 into 0
18.145 * [backup-simplify]: Simplify 1 into 1
18.145 * [backup-simplify]: Simplify (* re re) into (pow re 2)
18.145 * [backup-simplify]: Simplify (* 0 0) into 0
18.145 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
18.145 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
18.145 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
18.146 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.146 * [backup-simplify]: Simplify (+ 0 0) into 0
18.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
18.146 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
18.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
18.146 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
18.146 * [taylor]: Taking taylor expansion of (hypot re im) in im
18.146 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.146 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
18.146 * [taylor]: Taking taylor expansion of (* re re) in im
18.146 * [taylor]: Taking taylor expansion of re in im
18.146 * [backup-simplify]: Simplify re into re
18.146 * [taylor]: Taking taylor expansion of re in im
18.146 * [backup-simplify]: Simplify re into re
18.146 * [taylor]: Taking taylor expansion of (* im im) in im
18.146 * [taylor]: Taking taylor expansion of im in im
18.146 * [backup-simplify]: Simplify 0 into 0
18.146 * [backup-simplify]: Simplify 1 into 1
18.146 * [taylor]: Taking taylor expansion of im in im
18.146 * [backup-simplify]: Simplify 0 into 0
18.146 * [backup-simplify]: Simplify 1 into 1
18.146 * [backup-simplify]: Simplify (* re re) into (pow re 2)
18.147 * [backup-simplify]: Simplify (* 0 0) into 0
18.147 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
18.147 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
18.147 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
18.147 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.148 * [backup-simplify]: Simplify (+ 0 0) into 0
18.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
18.148 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
18.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
18.148 * [taylor]: Taking taylor expansion of re in im
18.148 * [backup-simplify]: Simplify re into re
18.148 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
18.148 * [taylor]: Taking taylor expansion of re in im
18.148 * [backup-simplify]: Simplify re into re
18.148 * [taylor]: Taking taylor expansion of (hypot re im) in im
18.148 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.148 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
18.148 * [taylor]: Taking taylor expansion of (* re re) in im
18.148 * [taylor]: Taking taylor expansion of re in im
18.148 * [backup-simplify]: Simplify re into re
18.148 * [taylor]: Taking taylor expansion of re in im
18.148 * [backup-simplify]: Simplify re into re
18.148 * [taylor]: Taking taylor expansion of (* im im) in im
18.148 * [taylor]: Taking taylor expansion of im in im
18.148 * [backup-simplify]: Simplify 0 into 0
18.148 * [backup-simplify]: Simplify 1 into 1
18.148 * [taylor]: Taking taylor expansion of im in im
18.148 * [backup-simplify]: Simplify 0 into 0
18.148 * [backup-simplify]: Simplify 1 into 1
18.148 * [backup-simplify]: Simplify (* re re) into (pow re 2)
18.148 * [backup-simplify]: Simplify (* 0 0) into 0
18.149 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
18.149 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
18.149 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
18.149 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.149 * [backup-simplify]: Simplify (+ 0 0) into 0
18.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
18.149 * [backup-simplify]: Simplify (* (sqrt re) (sqrt re)) into re
18.149 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
18.150 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
18.150 * [backup-simplify]: Simplify (* (* 2 re) (* 2 re)) into (* 4 (pow re 2))
18.150 * [backup-simplify]: Simplify (sqrt (* 4 (pow re 2))) into (* 2 re)
18.150 * [backup-simplify]: Simplify (+ 0 0) into 0
18.150 * [backup-simplify]: Simplify (+ (* (sqrt re) 0) (* 0 (sqrt re))) into 0
18.150 * [backup-simplify]: Simplify (+ 0 0) into 0
18.150 * [backup-simplify]: Simplify (+ (* (* 2 re) 0) (* 0 (* 2 re))) into 0
18.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow re 2))))) into 0
18.150 * [taylor]: Taking taylor expansion of (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (+ re (hypot re im)))) in re
18.150 * [taylor]: Taking taylor expansion of (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (+ re (hypot re im))) in re
18.150 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
18.151 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
18.151 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
18.151 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
18.151 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.151 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.151 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.151 * [taylor]: Taking taylor expansion of (* re re) in re
18.151 * [taylor]: Taking taylor expansion of re in re
18.151 * [backup-simplify]: Simplify 0 into 0
18.151 * [backup-simplify]: Simplify 1 into 1
18.151 * [taylor]: Taking taylor expansion of re in re
18.151 * [backup-simplify]: Simplify 0 into 0
18.151 * [backup-simplify]: Simplify 1 into 1
18.151 * [taylor]: Taking taylor expansion of (* im im) in re
18.151 * [taylor]: Taking taylor expansion of im in re
18.151 * [backup-simplify]: Simplify im into im
18.151 * [taylor]: Taking taylor expansion of im in re
18.151 * [backup-simplify]: Simplify im into im
18.151 * [backup-simplify]: Simplify (* 0 0) into 0
18.151 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.151 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.151 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.152 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.152 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.152 * [backup-simplify]: Simplify (+ 0 0) into 0
18.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.152 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
18.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
18.152 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
18.152 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.152 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.152 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.152 * [taylor]: Taking taylor expansion of (* re re) in re
18.152 * [taylor]: Taking taylor expansion of re in re
18.153 * [backup-simplify]: Simplify 0 into 0
18.153 * [backup-simplify]: Simplify 1 into 1
18.153 * [taylor]: Taking taylor expansion of re in re
18.153 * [backup-simplify]: Simplify 0 into 0
18.153 * [backup-simplify]: Simplify 1 into 1
18.153 * [taylor]: Taking taylor expansion of (* im im) in re
18.153 * [taylor]: Taking taylor expansion of im in re
18.153 * [backup-simplify]: Simplify im into im
18.153 * [taylor]: Taking taylor expansion of im in re
18.153 * [backup-simplify]: Simplify im into im
18.153 * [backup-simplify]: Simplify (* 0 0) into 0
18.153 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.153 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.153 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.153 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.154 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.154 * [backup-simplify]: Simplify (+ 0 0) into 0
18.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.154 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
18.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
18.154 * [taylor]: Taking taylor expansion of re in re
18.154 * [backup-simplify]: Simplify 0 into 0
18.154 * [backup-simplify]: Simplify 1 into 1
18.154 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
18.154 * [taylor]: Taking taylor expansion of re in re
18.154 * [backup-simplify]: Simplify 0 into 0
18.154 * [backup-simplify]: Simplify 1 into 1
18.154 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.154 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.154 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.154 * [taylor]: Taking taylor expansion of (* re re) in re
18.154 * [taylor]: Taking taylor expansion of re in re
18.154 * [backup-simplify]: Simplify 0 into 0
18.154 * [backup-simplify]: Simplify 1 into 1
18.154 * [taylor]: Taking taylor expansion of re in re
18.154 * [backup-simplify]: Simplify 0 into 0
18.154 * [backup-simplify]: Simplify 1 into 1
18.154 * [taylor]: Taking taylor expansion of (* im im) in re
18.154 * [taylor]: Taking taylor expansion of im in re
18.154 * [backup-simplify]: Simplify im into im
18.154 * [taylor]: Taking taylor expansion of im in re
18.154 * [backup-simplify]: Simplify im into im
18.155 * [backup-simplify]: Simplify (* 0 0) into 0
18.155 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.155 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.155 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.155 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.155 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.156 * [backup-simplify]: Simplify (+ 0 0) into 0
18.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.156 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
18.156 * [backup-simplify]: Simplify (+ im 0) into im
18.156 * [backup-simplify]: Simplify (+ 0 im) into im
18.156 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.156 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.156 * [backup-simplify]: Simplify (+ 1 0) into 1
18.156 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
18.157 * [backup-simplify]: Simplify (+ 0 1) into 1
18.157 * [backup-simplify]: Simplify (+ (* im 1) (* 1 im)) into (* 2 im)
18.157 * [backup-simplify]: Simplify (/ (* 2 im) (* 2 (sqrt (pow im 2)))) into 1
18.157 * [taylor]: Taking taylor expansion of (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (+ re (hypot re im)))) in re
18.157 * [taylor]: Taking taylor expansion of (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (+ re (hypot re im))) in re
18.157 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
18.157 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
18.157 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
18.157 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
18.157 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.157 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.157 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.157 * [taylor]: Taking taylor expansion of (* re re) in re
18.157 * [taylor]: Taking taylor expansion of re in re
18.157 * [backup-simplify]: Simplify 0 into 0
18.157 * [backup-simplify]: Simplify 1 into 1
18.157 * [taylor]: Taking taylor expansion of re in re
18.157 * [backup-simplify]: Simplify 0 into 0
18.157 * [backup-simplify]: Simplify 1 into 1
18.157 * [taylor]: Taking taylor expansion of (* im im) in re
18.157 * [taylor]: Taking taylor expansion of im in re
18.157 * [backup-simplify]: Simplify im into im
18.157 * [taylor]: Taking taylor expansion of im in re
18.157 * [backup-simplify]: Simplify im into im
18.157 * [backup-simplify]: Simplify (* 0 0) into 0
18.157 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.158 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.158 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.158 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.158 * [backup-simplify]: Simplify (+ 0 0) into 0
18.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.159 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
18.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
18.159 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
18.159 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.159 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.159 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.159 * [taylor]: Taking taylor expansion of (* re re) in re
18.159 * [taylor]: Taking taylor expansion of re in re
18.159 * [backup-simplify]: Simplify 0 into 0
18.159 * [backup-simplify]: Simplify 1 into 1
18.159 * [taylor]: Taking taylor expansion of re in re
18.159 * [backup-simplify]: Simplify 0 into 0
18.159 * [backup-simplify]: Simplify 1 into 1
18.159 * [taylor]: Taking taylor expansion of (* im im) in re
18.159 * [taylor]: Taking taylor expansion of im in re
18.159 * [backup-simplify]: Simplify im into im
18.159 * [taylor]: Taking taylor expansion of im in re
18.159 * [backup-simplify]: Simplify im into im
18.159 * [backup-simplify]: Simplify (* 0 0) into 0
18.159 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.159 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.159 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.160 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.160 * [backup-simplify]: Simplify (+ 0 0) into 0
18.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.160 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
18.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
18.160 * [taylor]: Taking taylor expansion of re in re
18.160 * [backup-simplify]: Simplify 0 into 0
18.160 * [backup-simplify]: Simplify 1 into 1
18.160 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
18.160 * [taylor]: Taking taylor expansion of re in re
18.160 * [backup-simplify]: Simplify 0 into 0
18.160 * [backup-simplify]: Simplify 1 into 1
18.160 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.160 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.160 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.160 * [taylor]: Taking taylor expansion of (* re re) in re
18.161 * [taylor]: Taking taylor expansion of re in re
18.161 * [backup-simplify]: Simplify 0 into 0
18.161 * [backup-simplify]: Simplify 1 into 1
18.161 * [taylor]: Taking taylor expansion of re in re
18.161 * [backup-simplify]: Simplify 0 into 0
18.161 * [backup-simplify]: Simplify 1 into 1
18.161 * [taylor]: Taking taylor expansion of (* im im) in re
18.161 * [taylor]: Taking taylor expansion of im in re
18.161 * [backup-simplify]: Simplify im into im
18.161 * [taylor]: Taking taylor expansion of im in re
18.161 * [backup-simplify]: Simplify im into im
18.161 * [backup-simplify]: Simplify (* 0 0) into 0
18.161 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.161 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.161 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.162 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.162 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.162 * [backup-simplify]: Simplify (+ 0 0) into 0
18.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.162 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
18.162 * [backup-simplify]: Simplify (+ im 0) into im
18.162 * [backup-simplify]: Simplify (+ 0 im) into im
18.162 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.162 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.163 * [backup-simplify]: Simplify (+ 1 0) into 1
18.163 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
18.163 * [backup-simplify]: Simplify (+ 0 1) into 1
18.163 * [backup-simplify]: Simplify (+ (* im 1) (* 1 im)) into (* 2 im)
18.163 * [backup-simplify]: Simplify (/ (* 2 im) (* 2 (sqrt (pow im 2)))) into 1
18.163 * [taylor]: Taking taylor expansion of im in im
18.163 * [backup-simplify]: Simplify 0 into 0
18.163 * [backup-simplify]: Simplify 1 into 1
18.163 * [backup-simplify]: Simplify 0 into 0
18.163 * [taylor]: Taking taylor expansion of 1 in im
18.163 * [backup-simplify]: Simplify 1 into 1
18.163 * [backup-simplify]: Simplify 1 into 1
18.163 * [backup-simplify]: Simplify 1 into 1
18.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
18.164 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
18.164 * [backup-simplify]: Simplify (+ 1 0) into 1
18.165 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
18.165 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
18.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
18.166 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
18.166 * [backup-simplify]: Simplify (+ 1 0) into 1
18.166 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
18.167 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
18.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
18.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
18.169 * [backup-simplify]: Simplify (+ 1 0) into 1
18.170 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
18.171 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
18.172 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
18.172 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
18.178 * [backup-simplify]: Simplify (+ (* im (* 1/2 (/ 1 im))) (+ (* 1 1) (* (* 1/2 (/ 1 im)) im))) into 2
18.179 * [backup-simplify]: Simplify (/ (- 2 (pow 1 2) (+)) (* 2 im)) into (/ 1/2 im)
18.179 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
18.179 * [taylor]: Taking taylor expansion of 1/2 in im
18.179 * [backup-simplify]: Simplify 1/2 into 1/2
18.179 * [taylor]: Taking taylor expansion of im in im
18.179 * [backup-simplify]: Simplify 0 into 0
18.179 * [backup-simplify]: Simplify 1 into 1
18.179 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
18.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
18.180 * [backup-simplify]: Simplify 0 into 0
18.180 * [backup-simplify]: Simplify 0 into 0
18.180 * [backup-simplify]: Simplify 0 into 0
18.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
18.182 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
18.183 * [backup-simplify]: Simplify (+ 0 0) into 0
18.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
18.183 * [backup-simplify]: Simplify (+ 0 0) into 0
18.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
18.185 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
18.186 * [backup-simplify]: Simplify (+ 0 0) into 0
18.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
18.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
18.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
18.188 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
18.189 * [backup-simplify]: Simplify (+ 0 0) into 0
18.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
18.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
18.190 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
18.190 * [backup-simplify]: Simplify (+ 0 0) into 0
18.191 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 1 (* 1/2 (/ 1 im))) (+ (* (* 1/2 (/ 1 im)) 1) (* 0 im)))) into (/ 1 im)
18.191 * [backup-simplify]: Simplify (/ (- (/ 1 im) (+ (* 2 (* 1 (/ 1/2 im))))) (* 2 im)) into 0
18.191 * [taylor]: Taking taylor expansion of 0 in im
18.191 * [backup-simplify]: Simplify 0 into 0
18.191 * [backup-simplify]: Simplify 0 into 0
18.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.192 * [backup-simplify]: Simplify 0 into 0
18.192 * [backup-simplify]: Simplify 0 into 0
18.192 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
18.193 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) into (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))))
18.193 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in (re im) around 0
18.194 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in im
18.194 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in im
18.194 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
18.194 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.194 * [taylor]: Taking taylor expansion of re in im
18.194 * [backup-simplify]: Simplify re into re
18.194 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.194 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
18.194 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.194 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
18.194 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
18.194 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.194 * [taylor]: Taking taylor expansion of re in im
18.194 * [backup-simplify]: Simplify re into re
18.194 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.194 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.194 * [taylor]: Taking taylor expansion of re in im
18.194 * [backup-simplify]: Simplify re into re
18.194 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.194 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
18.195 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.195 * [taylor]: Taking taylor expansion of im in im
18.195 * [backup-simplify]: Simplify 0 into 0
18.195 * [backup-simplify]: Simplify 1 into 1
18.195 * [backup-simplify]: Simplify (/ 1 1) into 1
18.195 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.195 * [taylor]: Taking taylor expansion of im in im
18.195 * [backup-simplify]: Simplify 0 into 0
18.195 * [backup-simplify]: Simplify 1 into 1
18.196 * [backup-simplify]: Simplify (/ 1 1) into 1
18.196 * [backup-simplify]: Simplify (* 1 1) into 1
18.196 * [backup-simplify]: Simplify (+ 0 1) into 1
18.197 * [backup-simplify]: Simplify (sqrt 1) into 1
18.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.199 * [backup-simplify]: Simplify (+ 0 0) into 0
18.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.199 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im
18.200 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
18.200 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
18.200 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
18.200 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
18.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.200 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
18.200 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
18.200 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.200 * [taylor]: Taking taylor expansion of re in im
18.200 * [backup-simplify]: Simplify re into re
18.200 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.200 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.200 * [taylor]: Taking taylor expansion of re in im
18.200 * [backup-simplify]: Simplify re into re
18.200 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.200 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
18.200 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.200 * [taylor]: Taking taylor expansion of im in im
18.200 * [backup-simplify]: Simplify 0 into 0
18.200 * [backup-simplify]: Simplify 1 into 1
18.200 * [backup-simplify]: Simplify (/ 1 1) into 1
18.200 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.200 * [taylor]: Taking taylor expansion of im in im
18.200 * [backup-simplify]: Simplify 0 into 0
18.200 * [backup-simplify]: Simplify 1 into 1
18.201 * [backup-simplify]: Simplify (/ 1 1) into 1
18.201 * [backup-simplify]: Simplify (* 1 1) into 1
18.201 * [backup-simplify]: Simplify (+ 0 1) into 1
18.201 * [backup-simplify]: Simplify (sqrt 1) into 1
18.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.203 * [backup-simplify]: Simplify (+ 0 0) into 0
18.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.204 * [backup-simplify]: Simplify (sqrt 0) into 0
18.205 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.205 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
18.205 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
18.205 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.205 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
18.205 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
18.205 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.205 * [taylor]: Taking taylor expansion of re in im
18.205 * [backup-simplify]: Simplify re into re
18.205 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.205 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.205 * [taylor]: Taking taylor expansion of re in im
18.205 * [backup-simplify]: Simplify re into re
18.205 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.205 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
18.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.205 * [taylor]: Taking taylor expansion of im in im
18.205 * [backup-simplify]: Simplify 0 into 0
18.205 * [backup-simplify]: Simplify 1 into 1
18.205 * [backup-simplify]: Simplify (/ 1 1) into 1
18.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.205 * [taylor]: Taking taylor expansion of im in im
18.205 * [backup-simplify]: Simplify 0 into 0
18.205 * [backup-simplify]: Simplify 1 into 1
18.206 * [backup-simplify]: Simplify (/ 1 1) into 1
18.206 * [backup-simplify]: Simplify (* 1 1) into 1
18.206 * [backup-simplify]: Simplify (+ 0 1) into 1
18.206 * [backup-simplify]: Simplify (sqrt 1) into 1
18.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.208 * [backup-simplify]: Simplify (+ 0 0) into 0
18.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.209 * [backup-simplify]: Simplify (sqrt 0) into 0
18.209 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.209 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.209 * [taylor]: Taking taylor expansion of re in im
18.209 * [backup-simplify]: Simplify re into re
18.210 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.210 * [backup-simplify]: Simplify (+ 0 1) into 1
18.210 * [backup-simplify]: Simplify (* 0 0) into 0
18.210 * [backup-simplify]: Simplify (+ 0 0) into 0
18.210 * [backup-simplify]: Simplify (* 1 0) into 0
18.211 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
18.211 * [backup-simplify]: Simplify (+ 0 0) into 0
18.211 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
18.211 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 0)) into 0
18.214 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.215 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.217 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
18.217 * [backup-simplify]: Simplify (+ (- +nan.0) (/ 1 re)) into (- (/ 1 re) +nan.0)
18.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
18.217 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
18.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.219 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
18.220 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
18.220 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
18.220 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re) +nan.0)) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 0))) into (- (/ 1 re) +nan.0)
18.221 * [backup-simplify]: Simplify (sqrt 0) into 0
18.221 * [backup-simplify]: Simplify (/ (- (/ 1 re) +nan.0) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 re) +nan.0))
18.221 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re
18.221 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re
18.221 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
18.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.221 * [taylor]: Taking taylor expansion of re in re
18.221 * [backup-simplify]: Simplify 0 into 0
18.221 * [backup-simplify]: Simplify 1 into 1
18.221 * [backup-simplify]: Simplify (/ 1 1) into 1
18.221 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.222 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.222 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.222 * [taylor]: Taking taylor expansion of re in re
18.222 * [backup-simplify]: Simplify 0 into 0
18.222 * [backup-simplify]: Simplify 1 into 1
18.222 * [backup-simplify]: Simplify (/ 1 1) into 1
18.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.222 * [taylor]: Taking taylor expansion of re in re
18.222 * [backup-simplify]: Simplify 0 into 0
18.222 * [backup-simplify]: Simplify 1 into 1
18.222 * [backup-simplify]: Simplify (/ 1 1) into 1
18.222 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.222 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.222 * [taylor]: Taking taylor expansion of im in re
18.222 * [backup-simplify]: Simplify im into im
18.222 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.222 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.222 * [taylor]: Taking taylor expansion of im in re
18.222 * [backup-simplify]: Simplify im into im
18.222 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.223 * [backup-simplify]: Simplify (* 1 1) into 1
18.223 * [backup-simplify]: Simplify (+ 1 0) into 1
18.223 * [backup-simplify]: Simplify (sqrt 1) into 1
18.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.225 * [backup-simplify]: Simplify (+ 0 0) into 0
18.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.225 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
18.225 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
18.225 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
18.225 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
18.225 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.225 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.225 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.225 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.225 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.225 * [taylor]: Taking taylor expansion of re in re
18.225 * [backup-simplify]: Simplify 0 into 0
18.225 * [backup-simplify]: Simplify 1 into 1
18.226 * [backup-simplify]: Simplify (/ 1 1) into 1
18.226 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.226 * [taylor]: Taking taylor expansion of re in re
18.226 * [backup-simplify]: Simplify 0 into 0
18.226 * [backup-simplify]: Simplify 1 into 1
18.226 * [backup-simplify]: Simplify (/ 1 1) into 1
18.226 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.226 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.226 * [taylor]: Taking taylor expansion of im in re
18.226 * [backup-simplify]: Simplify im into im
18.226 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.226 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.226 * [taylor]: Taking taylor expansion of im in re
18.226 * [backup-simplify]: Simplify im into im
18.226 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.226 * [backup-simplify]: Simplify (* 1 1) into 1
18.227 * [backup-simplify]: Simplify (+ 1 0) into 1
18.227 * [backup-simplify]: Simplify (sqrt 1) into 1
18.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.230 * [backup-simplify]: Simplify (+ 0 0) into 0
18.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.231 * [backup-simplify]: Simplify (sqrt 0) into 0
18.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.232 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
18.232 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.232 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.232 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.232 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.232 * [taylor]: Taking taylor expansion of re in re
18.232 * [backup-simplify]: Simplify 0 into 0
18.232 * [backup-simplify]: Simplify 1 into 1
18.233 * [backup-simplify]: Simplify (/ 1 1) into 1
18.233 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.233 * [taylor]: Taking taylor expansion of re in re
18.233 * [backup-simplify]: Simplify 0 into 0
18.233 * [backup-simplify]: Simplify 1 into 1
18.233 * [backup-simplify]: Simplify (/ 1 1) into 1
18.233 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.233 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.233 * [taylor]: Taking taylor expansion of im in re
18.233 * [backup-simplify]: Simplify im into im
18.233 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.233 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.233 * [taylor]: Taking taylor expansion of im in re
18.233 * [backup-simplify]: Simplify im into im
18.233 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.234 * [backup-simplify]: Simplify (* 1 1) into 1
18.234 * [backup-simplify]: Simplify (+ 1 0) into 1
18.235 * [backup-simplify]: Simplify (sqrt 1) into 1
18.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.237 * [backup-simplify]: Simplify (+ 0 0) into 0
18.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.238 * [backup-simplify]: Simplify (sqrt 0) into 0
18.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.239 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.239 * [taylor]: Taking taylor expansion of re in re
18.240 * [backup-simplify]: Simplify 0 into 0
18.240 * [backup-simplify]: Simplify 1 into 1
18.240 * [backup-simplify]: Simplify (/ 1 1) into 1
18.240 * [backup-simplify]: Simplify (+ 1 1) into 2
18.241 * [backup-simplify]: Simplify (* 0 0) into 0
18.241 * [backup-simplify]: Simplify (+ 0 0) into 0
18.242 * [backup-simplify]: Simplify (* 2 0) into 0
18.242 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
18.243 * [backup-simplify]: Simplify (+ 0 1) into 1
18.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.244 * [backup-simplify]: Simplify (+ 0 0) into 0
18.244 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
18.245 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
18.248 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.251 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.253 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
18.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.255 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
18.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.259 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
18.259 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.261 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.261 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
18.262 * [backup-simplify]: Simplify (+ (* 2 (- +nan.0)) (+ (* 0 1) (* (* 1/2 (/ 1 (pow im 2))) 0))) into (- +nan.0)
18.264 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt 2))) into (/ +nan.0 (sqrt 2))
18.264 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re
18.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re
18.264 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
18.264 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.264 * [taylor]: Taking taylor expansion of re in re
18.264 * [backup-simplify]: Simplify 0 into 0
18.265 * [backup-simplify]: Simplify 1 into 1
18.265 * [backup-simplify]: Simplify (/ 1 1) into 1
18.265 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.265 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.265 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.265 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.265 * [taylor]: Taking taylor expansion of re in re
18.265 * [backup-simplify]: Simplify 0 into 0
18.265 * [backup-simplify]: Simplify 1 into 1
18.266 * [backup-simplify]: Simplify (/ 1 1) into 1
18.266 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.266 * [taylor]: Taking taylor expansion of re in re
18.266 * [backup-simplify]: Simplify 0 into 0
18.266 * [backup-simplify]: Simplify 1 into 1
18.266 * [backup-simplify]: Simplify (/ 1 1) into 1
18.266 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.266 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.266 * [taylor]: Taking taylor expansion of im in re
18.266 * [backup-simplify]: Simplify im into im
18.266 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.266 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.266 * [taylor]: Taking taylor expansion of im in re
18.266 * [backup-simplify]: Simplify im into im
18.266 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.267 * [backup-simplify]: Simplify (* 1 1) into 1
18.267 * [backup-simplify]: Simplify (+ 1 0) into 1
18.268 * [backup-simplify]: Simplify (sqrt 1) into 1
18.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.270 * [backup-simplify]: Simplify (+ 0 0) into 0
18.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.271 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
18.271 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
18.271 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
18.271 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
18.271 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.271 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.271 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.271 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.271 * [taylor]: Taking taylor expansion of re in re
18.271 * [backup-simplify]: Simplify 0 into 0
18.271 * [backup-simplify]: Simplify 1 into 1
18.272 * [backup-simplify]: Simplify (/ 1 1) into 1
18.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.272 * [taylor]: Taking taylor expansion of re in re
18.272 * [backup-simplify]: Simplify 0 into 0
18.272 * [backup-simplify]: Simplify 1 into 1
18.272 * [backup-simplify]: Simplify (/ 1 1) into 1
18.272 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.272 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.272 * [taylor]: Taking taylor expansion of im in re
18.272 * [backup-simplify]: Simplify im into im
18.273 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.273 * [taylor]: Taking taylor expansion of im in re
18.273 * [backup-simplify]: Simplify im into im
18.273 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.273 * [backup-simplify]: Simplify (* 1 1) into 1
18.273 * [backup-simplify]: Simplify (+ 1 0) into 1
18.274 * [backup-simplify]: Simplify (sqrt 1) into 1
18.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.276 * [backup-simplify]: Simplify (+ 0 0) into 0
18.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.277 * [backup-simplify]: Simplify (sqrt 0) into 0
18.279 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.279 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
18.279 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.279 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.279 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.279 * [taylor]: Taking taylor expansion of re in re
18.279 * [backup-simplify]: Simplify 0 into 0
18.279 * [backup-simplify]: Simplify 1 into 1
18.280 * [backup-simplify]: Simplify (/ 1 1) into 1
18.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.280 * [taylor]: Taking taylor expansion of re in re
18.280 * [backup-simplify]: Simplify 0 into 0
18.280 * [backup-simplify]: Simplify 1 into 1
18.280 * [backup-simplify]: Simplify (/ 1 1) into 1
18.280 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.280 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.280 * [taylor]: Taking taylor expansion of im in re
18.280 * [backup-simplify]: Simplify im into im
18.280 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.281 * [taylor]: Taking taylor expansion of im in re
18.281 * [backup-simplify]: Simplify im into im
18.281 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.281 * [backup-simplify]: Simplify (* 1 1) into 1
18.281 * [backup-simplify]: Simplify (+ 1 0) into 1
18.282 * [backup-simplify]: Simplify (sqrt 1) into 1
18.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.284 * [backup-simplify]: Simplify (+ 0 0) into 0
18.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.286 * [backup-simplify]: Simplify (sqrt 0) into 0
18.287 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.287 * [taylor]: Taking taylor expansion of re in re
18.287 * [backup-simplify]: Simplify 0 into 0
18.287 * [backup-simplify]: Simplify 1 into 1
18.287 * [backup-simplify]: Simplify (/ 1 1) into 1
18.288 * [backup-simplify]: Simplify (+ 1 1) into 2
18.288 * [backup-simplify]: Simplify (* 0 0) into 0
18.289 * [backup-simplify]: Simplify (+ 0 0) into 0
18.289 * [backup-simplify]: Simplify (* 2 0) into 0
18.290 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
18.290 * [backup-simplify]: Simplify (+ 0 1) into 1
18.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.291 * [backup-simplify]: Simplify (+ 0 0) into 0
18.292 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
18.293 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
18.296 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.299 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.301 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
18.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.303 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
18.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.306 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
18.307 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.308 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.308 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
18.315 * [backup-simplify]: Simplify (+ (* 2 (- +nan.0)) (+ (* 0 1) (* (* 1/2 (/ 1 (pow im 2))) 0))) into (- +nan.0)
18.318 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt 2))) into (/ +nan.0 (sqrt 2))
18.318 * [taylor]: Taking taylor expansion of (sqrt 2) in im
18.318 * [taylor]: Taking taylor expansion of 2 in im
18.318 * [backup-simplify]: Simplify 2 into 2
18.318 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
18.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
18.319 * [taylor]: Taking taylor expansion of (/ +nan.0 (sqrt 2)) in im
18.319 * [taylor]: Taking taylor expansion of +nan.0 in im
18.319 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.319 * [taylor]: Taking taylor expansion of (sqrt 2) in im
18.319 * [taylor]: Taking taylor expansion of 2 in im
18.319 * [backup-simplify]: Simplify 2 into 2
18.319 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
18.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
18.321 * [backup-simplify]: Simplify (/ +nan.0 (sqrt 2)) into (/ +nan.0 (sqrt 2))
18.321 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
18.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.324 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
18.325 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.326 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.328 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
18.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.331 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
18.331 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.332 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.335 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
18.336 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
18.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.338 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
18.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.342 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
18.342 * [backup-simplify]: Simplify (+ 0 0) into 0
18.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.343 * [backup-simplify]: Simplify (+ 0 0) into 0
18.345 * [backup-simplify]: Simplify (+ (* 2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* (* 1/2 (/ 1 (pow im 2))) 1) (* 0 0)))) into (- (* 1/2 (/ 1 (pow im 2))) +nan.0)
18.348 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (/ 1 (pow im 2))) +nan.0) (pow (/ +nan.0 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0))) (sqrt 2)))
18.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0))) (sqrt 2))) in im
18.349 * [taylor]: Taking taylor expansion of 1/2 in im
18.349 * [backup-simplify]: Simplify 1/2 into 1/2
18.349 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0))) (sqrt 2)) in im
18.349 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0))) in im
18.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
18.349 * [taylor]: Taking taylor expansion of 1/2 in im
18.349 * [backup-simplify]: Simplify 1/2 into 1/2
18.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.349 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.349 * [taylor]: Taking taylor expansion of im in im
18.349 * [backup-simplify]: Simplify 0 into 0
18.349 * [backup-simplify]: Simplify 1 into 1
18.349 * [backup-simplify]: Simplify (* 1 1) into 1
18.350 * [backup-simplify]: Simplify (/ 1 1) into 1
18.350 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0)) in im
18.350 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt 2) 2))) in im
18.350 * [taylor]: Taking taylor expansion of +nan.0 in im
18.350 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.350 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in im
18.350 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in im
18.350 * [taylor]: Taking taylor expansion of (sqrt 2) in im
18.350 * [taylor]: Taking taylor expansion of 2 in im
18.350 * [backup-simplify]: Simplify 2 into 2
18.350 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
18.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
18.352 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2)
18.354 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
18.354 * [taylor]: Taking taylor expansion of (- +nan.0) in im
18.354 * [taylor]: Taking taylor expansion of +nan.0 in im
18.354 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.354 * [taylor]: Taking taylor expansion of (sqrt 2) in im
18.354 * [taylor]: Taking taylor expansion of 2 in im
18.354 * [backup-simplify]: Simplify 2 into 2
18.354 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
18.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
18.356 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.356 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.357 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
18.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.359 * [backup-simplify]: Simplify (+ 0 0) into 0
18.361 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
18.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1/2 (sqrt 2)))) into 0
18.362 * [backup-simplify]: Simplify 0 into 0
18.363 * [backup-simplify]: Simplify (/ +nan.0 (sqrt 2)) into (/ +nan.0 (sqrt 2))
18.363 * [backup-simplify]: Simplify 0 into 0
18.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.366 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
18.367 * [backup-simplify]: Simplify (+ 0 0) into 0
18.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.369 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.372 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
18.372 * [backup-simplify]: Simplify (+ 0 0) into 0
18.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.373 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.374 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.375 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.378 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
18.378 * [backup-simplify]: Simplify (+ 0 0) into 0
18.379 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
18.379 * [backup-simplify]: Simplify (+ 0 (/ -1/8 (pow im 4))) into (- (* 1/8 (/ 1 (pow im 4))))
18.381 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (- +nan.0)) (+ (* (* 1/2 (/ 1 (pow im 2))) (- +nan.0)) (+ (* 0 1) (* (- (* 1/8 (/ 1 (pow im 4)))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.385 * [backup-simplify]: Simplify (/ (- (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (+ (* 2 (* (/ +nan.0 (sqrt 2)) (* 1/2 (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0))) (sqrt 2))))))) (* 2 (sqrt 2))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 4))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt 2)))
18.385 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 4))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt 2))) in im
18.385 * [taylor]: Taking taylor expansion of -1/2 in im
18.385 * [backup-simplify]: Simplify -1/2 into -1/2
18.385 * [taylor]: Taking taylor expansion of (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 4))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt 2)) in im
18.385 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 4))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2) 2) (pow im 2)))) (- +nan.0)))))))) in im
18.385 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
18.385 * [taylor]: Taking taylor expansion of +nan.0 in im
18.385 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.385 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.385 * [taylor]: Taking taylor expansion of im in im
18.385 * [backup-simplify]: Simplify 0 into 0
18.385 * [backup-simplify]: Simplify 1 into 1
18.386 * [backup-simplify]: Simplify (* 1 1) into 1
18.386 * [backup-simplify]: Simplify (/ 1 1) into 1
18.386 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 4))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2) 2) (pow im 2)))) (- +nan.0))))))) in im
18.386 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 4))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2) 2) (pow im 2)))) (- +nan.0)))))) in im
18.386 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt 2) 2))) in im
18.386 * [taylor]: Taking taylor expansion of +nan.0 in im
18.386 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.386 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in im
18.386 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in im
18.386 * [taylor]: Taking taylor expansion of (sqrt 2) in im
18.386 * [taylor]: Taking taylor expansion of 2 in im
18.386 * [backup-simplify]: Simplify 2 into 2
18.386 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
18.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
18.387 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2)
18.388 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
18.388 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 4))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2) 2) (pow im 2)))) (- +nan.0))))) in im
18.388 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt 2) 4))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2) 2) (pow im 2)))) (- +nan.0)))) in im
18.388 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt 2) 4))) in im
18.388 * [taylor]: Taking taylor expansion of +nan.0 in im
18.389 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.389 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 4)) in im
18.389 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in im
18.389 * [taylor]: Taking taylor expansion of (sqrt 2) in im
18.389 * [taylor]: Taking taylor expansion of 2 in im
18.389 * [backup-simplify]: Simplify 2 into 2
18.389 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
18.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
18.390 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2)
18.391 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4)
18.392 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 4)) into (/ 1 (pow (sqrt 2) 4))
18.392 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2) 2) (pow im 2)))) (- +nan.0))) in im
18.392 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt 2) 2) (pow im 2)))) (- +nan.0)) in im
18.392 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt 2) 2) (pow im 2)))) in im
18.392 * [taylor]: Taking taylor expansion of +nan.0 in im
18.392 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.392 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2) 2) (pow im 2))) in im
18.393 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow im 2)) in im
18.393 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in im
18.393 * [taylor]: Taking taylor expansion of (sqrt 2) in im
18.393 * [taylor]: Taking taylor expansion of 2 in im
18.393 * [backup-simplify]: Simplify 2 into 2
18.393 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
18.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
18.393 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.393 * [taylor]: Taking taylor expansion of im in im
18.393 * [backup-simplify]: Simplify 0 into 0
18.393 * [backup-simplify]: Simplify 1 into 1
18.394 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2)
18.394 * [backup-simplify]: Simplify (* 1 1) into 1
18.395 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) 1) into (pow (sqrt 2) 2)
18.396 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
18.396 * [taylor]: Taking taylor expansion of (- +nan.0) in im
18.396 * [taylor]: Taking taylor expansion of +nan.0 in im
18.396 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.396 * [taylor]: Taking taylor expansion of (sqrt 2) in im
18.396 * [taylor]: Taking taylor expansion of 2 in im
18.396 * [backup-simplify]: Simplify 2 into 2
18.396 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
18.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
18.397 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
18.399 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (pow (sqrt 2) 2))) into (/ +nan.0 (pow (sqrt 2) 2))
18.400 * [backup-simplify]: Simplify (+ (/ +nan.0 (pow (sqrt 2) 2)) 0) into (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))
18.403 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))) into (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))
18.408 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))) into (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))
18.413 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))) into (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))
18.418 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))) into (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))
18.423 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))) into (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))
18.428 * [backup-simplify]: Simplify (+ +nan.0 (- (* +nan.0 (/ 1 (pow (sqrt 2) 2))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0)))
18.435 * [backup-simplify]: Simplify (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0))) (sqrt 2)) into (* -1 (/ (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0)) (sqrt 2)))
18.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.437 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
18.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.445 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0
18.446 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 1)) into 0
18.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0
18.449 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (pow (sqrt 2) 2)))) into 0
18.449 * [backup-simplify]: Simplify (+ 0 0) into 0
18.449 * [backup-simplify]: Simplify (- 0) into 0
18.450 * [backup-simplify]: Simplify (+ 0 0) into 0
18.450 * [backup-simplify]: Simplify (- 0) into 0
18.451 * [backup-simplify]: Simplify (+ 0 0) into 0
18.451 * [backup-simplify]: Simplify (- 0) into 0
18.451 * [backup-simplify]: Simplify (+ 0 0) into 0
18.454 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (* -1 (/ (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0)) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
18.457 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (* -1 (/ (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0)) (sqrt 2))))) into 0
18.457 * [backup-simplify]: Simplify 0 into 0
18.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
18.461 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (pow (sqrt 2) 2))) into (/ +nan.0 (pow (sqrt 2) 2))
18.461 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
18.463 * [backup-simplify]: Simplify (+ (/ +nan.0 (pow (sqrt 2) 2)) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0)))
18.466 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0)))
18.470 * [backup-simplify]: Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0)))
18.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
18.478 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 2))) (- +nan.0))) (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 3))) (- (* +nan.0 (/ 1 (sqrt 2))))))
18.486 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 3))) (- (* +nan.0 (/ 1 (sqrt 2))))))) (+ (* 0 0) (* 0 (/ 1/2 (sqrt 2))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 3))) (- (* +nan.0 (/ 1 (sqrt 2))))))
18.492 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 3))) (- (* +nan.0 (/ 1 (sqrt 2)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 3))) (- (* +nan.0 (/ 1 (sqrt 2))))))
18.502 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 2) 3))) (- (* +nan.0 (/ 1 (sqrt 2)))))) (* 1 (/ 1 re))) (+ (/ +nan.0 (sqrt 2)) (* (sqrt 2) (* 1 (/ 1 (/ 1 re)))))) into (- (* re (sqrt 2)) (+ (* +nan.0 (/ 1 (* re (pow (sqrt 2) 3)))) (- (+ (* +nan.0 (/ 1 (sqrt 2))) (- (* +nan.0 (/ 1 (* re (sqrt 2)))))))))
18.503 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re)))) (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) into (sqrt (* (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
18.503 * [approximate]: Taking taylor expansion of (sqrt (* (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
18.503 * [taylor]: Taking taylor expansion of (sqrt (* (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
18.503 * [taylor]: Taking taylor expansion of (* (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
18.503 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im
18.503 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
18.503 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
18.503 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
18.503 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
18.503 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.503 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
18.503 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
18.503 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.503 * [taylor]: Taking taylor expansion of -1 in im
18.503 * [backup-simplify]: Simplify -1 into -1
18.503 * [taylor]: Taking taylor expansion of re in im
18.503 * [backup-simplify]: Simplify re into re
18.503 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.503 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.503 * [taylor]: Taking taylor expansion of -1 in im
18.503 * [backup-simplify]: Simplify -1 into -1
18.503 * [taylor]: Taking taylor expansion of re in im
18.503 * [backup-simplify]: Simplify re into re
18.503 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.503 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
18.503 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.504 * [taylor]: Taking taylor expansion of -1 in im
18.504 * [backup-simplify]: Simplify -1 into -1
18.504 * [taylor]: Taking taylor expansion of im in im
18.504 * [backup-simplify]: Simplify 0 into 0
18.504 * [backup-simplify]: Simplify 1 into 1
18.504 * [backup-simplify]: Simplify (/ -1 1) into -1
18.504 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.504 * [taylor]: Taking taylor expansion of -1 in im
18.504 * [backup-simplify]: Simplify -1 into -1
18.504 * [taylor]: Taking taylor expansion of im in im
18.504 * [backup-simplify]: Simplify 0 into 0
18.504 * [backup-simplify]: Simplify 1 into 1
18.504 * [backup-simplify]: Simplify (/ -1 1) into -1
18.504 * [backup-simplify]: Simplify (* -1 -1) into 1
18.505 * [backup-simplify]: Simplify (+ 0 1) into 1
18.505 * [backup-simplify]: Simplify (sqrt 1) into 1
18.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.506 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.507 * [backup-simplify]: Simplify (+ 0 0) into 0
18.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.507 * [backup-simplify]: Simplify (sqrt 0) into 0
18.508 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.508 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
18.508 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
18.508 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.508 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
18.508 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
18.508 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.508 * [taylor]: Taking taylor expansion of -1 in im
18.508 * [backup-simplify]: Simplify -1 into -1
18.508 * [taylor]: Taking taylor expansion of re in im
18.508 * [backup-simplify]: Simplify re into re
18.508 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.508 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.508 * [taylor]: Taking taylor expansion of -1 in im
18.508 * [backup-simplify]: Simplify -1 into -1
18.508 * [taylor]: Taking taylor expansion of re in im
18.509 * [backup-simplify]: Simplify re into re
18.509 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.509 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
18.509 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.509 * [taylor]: Taking taylor expansion of -1 in im
18.509 * [backup-simplify]: Simplify -1 into -1
18.509 * [taylor]: Taking taylor expansion of im in im
18.509 * [backup-simplify]: Simplify 0 into 0
18.509 * [backup-simplify]: Simplify 1 into 1
18.509 * [backup-simplify]: Simplify (/ -1 1) into -1
18.509 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.509 * [taylor]: Taking taylor expansion of -1 in im
18.509 * [backup-simplify]: Simplify -1 into -1
18.509 * [taylor]: Taking taylor expansion of im in im
18.509 * [backup-simplify]: Simplify 0 into 0
18.509 * [backup-simplify]: Simplify 1 into 1
18.509 * [backup-simplify]: Simplify (/ -1 1) into -1
18.510 * [backup-simplify]: Simplify (* -1 -1) into 1
18.510 * [backup-simplify]: Simplify (+ 0 1) into 1
18.510 * [backup-simplify]: Simplify (sqrt 1) into 1
18.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.512 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.512 * [backup-simplify]: Simplify (+ 0 0) into 0
18.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.512 * [backup-simplify]: Simplify (sqrt 0) into 0
18.513 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.513 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.513 * [taylor]: Taking taylor expansion of -1 in im
18.513 * [backup-simplify]: Simplify -1 into -1
18.514 * [taylor]: Taking taylor expansion of re in im
18.514 * [backup-simplify]: Simplify re into re
18.514 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.514 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
18.514 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
18.514 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.514 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
18.514 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
18.514 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.514 * [taylor]: Taking taylor expansion of -1 in im
18.514 * [backup-simplify]: Simplify -1 into -1
18.514 * [taylor]: Taking taylor expansion of re in im
18.514 * [backup-simplify]: Simplify re into re
18.514 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.514 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.514 * [taylor]: Taking taylor expansion of -1 in im
18.514 * [backup-simplify]: Simplify -1 into -1
18.514 * [taylor]: Taking taylor expansion of re in im
18.514 * [backup-simplify]: Simplify re into re
18.514 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.514 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
18.514 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.514 * [taylor]: Taking taylor expansion of -1 in im
18.514 * [backup-simplify]: Simplify -1 into -1
18.514 * [taylor]: Taking taylor expansion of im in im
18.514 * [backup-simplify]: Simplify 0 into 0
18.514 * [backup-simplify]: Simplify 1 into 1
18.514 * [backup-simplify]: Simplify (/ -1 1) into -1
18.514 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.514 * [taylor]: Taking taylor expansion of -1 in im
18.514 * [backup-simplify]: Simplify -1 into -1
18.514 * [taylor]: Taking taylor expansion of im in im
18.514 * [backup-simplify]: Simplify 0 into 0
18.515 * [backup-simplify]: Simplify 1 into 1
18.515 * [backup-simplify]: Simplify (/ -1 1) into -1
18.515 * [backup-simplify]: Simplify (* -1 -1) into 1
18.515 * [backup-simplify]: Simplify (+ 0 1) into 1
18.516 * [backup-simplify]: Simplify (sqrt 1) into 1
18.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.517 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.517 * [backup-simplify]: Simplify (+ 0 0) into 0
18.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.517 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.518 * [taylor]: Taking taylor expansion of re in im
18.518 * [backup-simplify]: Simplify re into re
18.518 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.518 * [backup-simplify]: Simplify (* 0 0) into 0
18.518 * [backup-simplify]: Simplify (+ 0 0) into 0
18.518 * [backup-simplify]: Simplify (+ 1 0) into 1
18.519 * [backup-simplify]: Simplify (* 0 1) into 0
18.519 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
18.519 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
18.519 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
18.519 * [backup-simplify]: Simplify (+ 0 0) into 0
18.520 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 re))) (* 0 1)) into 0
18.520 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
18.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.522 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
18.522 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
18.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
18.523 * [backup-simplify]: Simplify (- 0) into 0
18.523 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
18.527 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.530 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.532 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
18.533 * [backup-simplify]: Simplify (+ (- +nan.0) (/ -1 re)) into (- (+ (/ 1 re) (- +nan.0)))
18.534 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* (- (+ (/ 1 re) (- +nan.0))) 1))) into (- (+ (/ 1 re) (- +nan.0)))
18.534 * [backup-simplify]: Simplify (sqrt 0) into 0
18.535 * [backup-simplify]: Simplify (/ (- (+ (/ 1 re) (- +nan.0))) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
18.535 * [taylor]: Taking taylor expansion of (sqrt (* (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
18.535 * [taylor]: Taking taylor expansion of (* (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
18.535 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
18.535 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
18.535 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
18.535 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
18.535 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.535 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.536 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.536 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.536 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.536 * [taylor]: Taking taylor expansion of -1 in re
18.536 * [backup-simplify]: Simplify -1 into -1
18.536 * [taylor]: Taking taylor expansion of re in re
18.536 * [backup-simplify]: Simplify 0 into 0
18.536 * [backup-simplify]: Simplify 1 into 1
18.536 * [backup-simplify]: Simplify (/ -1 1) into -1
18.536 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.536 * [taylor]: Taking taylor expansion of -1 in re
18.536 * [backup-simplify]: Simplify -1 into -1
18.536 * [taylor]: Taking taylor expansion of re in re
18.536 * [backup-simplify]: Simplify 0 into 0
18.536 * [backup-simplify]: Simplify 1 into 1
18.537 * [backup-simplify]: Simplify (/ -1 1) into -1
18.537 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.537 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.537 * [taylor]: Taking taylor expansion of -1 in re
18.537 * [backup-simplify]: Simplify -1 into -1
18.537 * [taylor]: Taking taylor expansion of im in re
18.537 * [backup-simplify]: Simplify im into im
18.537 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.537 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.537 * [taylor]: Taking taylor expansion of -1 in re
18.537 * [backup-simplify]: Simplify -1 into -1
18.537 * [taylor]: Taking taylor expansion of im in re
18.537 * [backup-simplify]: Simplify im into im
18.537 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.538 * [backup-simplify]: Simplify (* -1 -1) into 1
18.538 * [backup-simplify]: Simplify (+ 1 0) into 1
18.538 * [backup-simplify]: Simplify (sqrt 1) into 1
18.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.541 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.541 * [backup-simplify]: Simplify (+ 0 0) into 0
18.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.542 * [backup-simplify]: Simplify (sqrt 0) into 0
18.543 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.544 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
18.544 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.544 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.544 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.544 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.544 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.544 * [taylor]: Taking taylor expansion of -1 in re
18.544 * [backup-simplify]: Simplify -1 into -1
18.544 * [taylor]: Taking taylor expansion of re in re
18.544 * [backup-simplify]: Simplify 0 into 0
18.544 * [backup-simplify]: Simplify 1 into 1
18.544 * [backup-simplify]: Simplify (/ -1 1) into -1
18.544 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.544 * [taylor]: Taking taylor expansion of -1 in re
18.545 * [backup-simplify]: Simplify -1 into -1
18.545 * [taylor]: Taking taylor expansion of re in re
18.545 * [backup-simplify]: Simplify 0 into 0
18.545 * [backup-simplify]: Simplify 1 into 1
18.545 * [backup-simplify]: Simplify (/ -1 1) into -1
18.545 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.545 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.545 * [taylor]: Taking taylor expansion of -1 in re
18.545 * [backup-simplify]: Simplify -1 into -1
18.545 * [taylor]: Taking taylor expansion of im in re
18.545 * [backup-simplify]: Simplify im into im
18.545 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.545 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.545 * [taylor]: Taking taylor expansion of -1 in re
18.545 * [backup-simplify]: Simplify -1 into -1
18.545 * [taylor]: Taking taylor expansion of im in re
18.545 * [backup-simplify]: Simplify im into im
18.545 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.546 * [backup-simplify]: Simplify (* -1 -1) into 1
18.546 * [backup-simplify]: Simplify (+ 1 0) into 1
18.547 * [backup-simplify]: Simplify (sqrt 1) into 1
18.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.549 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.549 * [backup-simplify]: Simplify (+ 0 0) into 0
18.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.550 * [backup-simplify]: Simplify (sqrt 0) into 0
18.552 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.552 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.552 * [taylor]: Taking taylor expansion of -1 in re
18.552 * [backup-simplify]: Simplify -1 into -1
18.552 * [taylor]: Taking taylor expansion of re in re
18.552 * [backup-simplify]: Simplify 0 into 0
18.552 * [backup-simplify]: Simplify 1 into 1
18.558 * [backup-simplify]: Simplify (/ -1 1) into -1
18.558 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
18.558 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.558 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.558 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.558 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.558 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.558 * [taylor]: Taking taylor expansion of -1 in re
18.558 * [backup-simplify]: Simplify -1 into -1
18.558 * [taylor]: Taking taylor expansion of re in re
18.559 * [backup-simplify]: Simplify 0 into 0
18.559 * [backup-simplify]: Simplify 1 into 1
18.559 * [backup-simplify]: Simplify (/ -1 1) into -1
18.559 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.559 * [taylor]: Taking taylor expansion of -1 in re
18.559 * [backup-simplify]: Simplify -1 into -1
18.559 * [taylor]: Taking taylor expansion of re in re
18.559 * [backup-simplify]: Simplify 0 into 0
18.559 * [backup-simplify]: Simplify 1 into 1
18.560 * [backup-simplify]: Simplify (/ -1 1) into -1
18.560 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.560 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.560 * [taylor]: Taking taylor expansion of -1 in re
18.560 * [backup-simplify]: Simplify -1 into -1
18.560 * [taylor]: Taking taylor expansion of im in re
18.560 * [backup-simplify]: Simplify im into im
18.560 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.560 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.560 * [taylor]: Taking taylor expansion of -1 in re
18.560 * [backup-simplify]: Simplify -1 into -1
18.560 * [taylor]: Taking taylor expansion of im in re
18.560 * [backup-simplify]: Simplify im into im
18.560 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.561 * [backup-simplify]: Simplify (* -1 -1) into 1
18.561 * [backup-simplify]: Simplify (+ 1 0) into 1
18.562 * [backup-simplify]: Simplify (sqrt 1) into 1
18.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.564 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.564 * [backup-simplify]: Simplify (+ 0 0) into 0
18.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.565 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.565 * [taylor]: Taking taylor expansion of re in re
18.565 * [backup-simplify]: Simplify 0 into 0
18.565 * [backup-simplify]: Simplify 1 into 1
18.566 * [backup-simplify]: Simplify (/ 1 1) into 1
18.566 * [backup-simplify]: Simplify (* 0 0) into 0
18.566 * [backup-simplify]: Simplify (+ 0 0) into 0
18.567 * [backup-simplify]: Simplify (- 1) into -1
18.567 * [backup-simplify]: Simplify (+ 1 -1) into 0
18.567 * [backup-simplify]: Simplify (* 0 0) into 0
18.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.569 * [backup-simplify]: Simplify (- 0) into 0
18.569 * [backup-simplify]: Simplify (+ 0 0) into 0
18.570 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
18.570 * [backup-simplify]: Simplify (+ 0 -1) into -1
18.571 * [backup-simplify]: Simplify (+ (* 0 0) (* -1 0)) into 0
18.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.573 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.574 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.574 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.575 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.577 * [backup-simplify]: Simplify (- 0) into 0
18.577 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
18.580 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.583 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.586 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
18.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.587 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
18.589 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* -1 0) (* (- +nan.0) 0))) into 0
18.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.592 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.592 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.592 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.592 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.593 * [backup-simplify]: Simplify (+ 0 0) into 0
18.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.595 * [backup-simplify]: Simplify (- 0) into 0
18.595 * [backup-simplify]: Simplify (+ 0 0) into 0
18.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.598 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.598 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.598 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.599 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.600 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
18.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.602 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.602 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.602 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.603 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.604 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
18.605 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
18.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.606 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
18.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 (* 1/2 (/ 1 (pow im 2)))) (+ (* (- +nan.0) 0) (* (- +nan.0) 0)))) into (- (* 1/2 (/ 1 (pow im 2))))
18.607 * [backup-simplify]: Simplify (sqrt (- (* 1/2 (/ 1 (pow im 2))))) into (sqrt (- (* 1/2 (/ 1 (pow im 2)))))
18.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.609 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
18.609 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.609 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.609 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
18.610 * [backup-simplify]: Simplify (+ 0 0) into 0
18.610 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
18.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.611 * [backup-simplify]: Simplify (- 0) into 0
18.611 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
18.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.613 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.613 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.613 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.614 * [backup-simplify]: Simplify (+ 0 0) into 0
18.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.615 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.616 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.617 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.617 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.617 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.617 * [backup-simplify]: Simplify (+ 0 0) into 0
18.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.618 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.620 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.621 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.622 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* -1 0) (+ (* (- +nan.0) (* 1/2 (/ 1 (pow im 2)))) (+ (* (- +nan.0) 0) (* (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (* +nan.0 (/ 1 (pow im 2))))
18.622 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (pow im 2)))) (* 2 (sqrt (- (* 1/2 (/ 1 (pow im 2))))))) into (/ +nan.0 (* (sqrt (- (* 1/2 (/ 1 (pow im 2))))) (pow im 2)))
18.622 * [taylor]: Taking taylor expansion of (sqrt (* (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
18.622 * [taylor]: Taking taylor expansion of (* (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
18.622 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
18.623 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
18.623 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
18.623 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
18.623 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.623 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.623 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.623 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.623 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.623 * [taylor]: Taking taylor expansion of -1 in re
18.623 * [backup-simplify]: Simplify -1 into -1
18.623 * [taylor]: Taking taylor expansion of re in re
18.623 * [backup-simplify]: Simplify 0 into 0
18.623 * [backup-simplify]: Simplify 1 into 1
18.623 * [backup-simplify]: Simplify (/ -1 1) into -1
18.623 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.623 * [taylor]: Taking taylor expansion of -1 in re
18.623 * [backup-simplify]: Simplify -1 into -1
18.623 * [taylor]: Taking taylor expansion of re in re
18.623 * [backup-simplify]: Simplify 0 into 0
18.623 * [backup-simplify]: Simplify 1 into 1
18.624 * [backup-simplify]: Simplify (/ -1 1) into -1
18.624 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.624 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.624 * [taylor]: Taking taylor expansion of -1 in re
18.624 * [backup-simplify]: Simplify -1 into -1
18.624 * [taylor]: Taking taylor expansion of im in re
18.624 * [backup-simplify]: Simplify im into im
18.624 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.624 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.624 * [taylor]: Taking taylor expansion of -1 in re
18.624 * [backup-simplify]: Simplify -1 into -1
18.624 * [taylor]: Taking taylor expansion of im in re
18.624 * [backup-simplify]: Simplify im into im
18.624 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.624 * [backup-simplify]: Simplify (* -1 -1) into 1
18.624 * [backup-simplify]: Simplify (+ 1 0) into 1
18.625 * [backup-simplify]: Simplify (sqrt 1) into 1
18.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.626 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.626 * [backup-simplify]: Simplify (+ 0 0) into 0
18.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.627 * [backup-simplify]: Simplify (sqrt 0) into 0
18.629 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.629 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
18.629 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.629 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.629 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.629 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.629 * [taylor]: Taking taylor expansion of -1 in re
18.629 * [backup-simplify]: Simplify -1 into -1
18.629 * [taylor]: Taking taylor expansion of re in re
18.629 * [backup-simplify]: Simplify 0 into 0
18.629 * [backup-simplify]: Simplify 1 into 1
18.630 * [backup-simplify]: Simplify (/ -1 1) into -1
18.630 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.630 * [taylor]: Taking taylor expansion of -1 in re
18.630 * [backup-simplify]: Simplify -1 into -1
18.630 * [taylor]: Taking taylor expansion of re in re
18.630 * [backup-simplify]: Simplify 0 into 0
18.630 * [backup-simplify]: Simplify 1 into 1
18.631 * [backup-simplify]: Simplify (/ -1 1) into -1
18.631 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.631 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.631 * [taylor]: Taking taylor expansion of -1 in re
18.631 * [backup-simplify]: Simplify -1 into -1
18.631 * [taylor]: Taking taylor expansion of im in re
18.631 * [backup-simplify]: Simplify im into im
18.631 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.631 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.631 * [taylor]: Taking taylor expansion of -1 in re
18.631 * [backup-simplify]: Simplify -1 into -1
18.631 * [taylor]: Taking taylor expansion of im in re
18.631 * [backup-simplify]: Simplify im into im
18.631 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.632 * [backup-simplify]: Simplify (* -1 -1) into 1
18.632 * [backup-simplify]: Simplify (+ 1 0) into 1
18.632 * [backup-simplify]: Simplify (sqrt 1) into 1
18.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.635 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.635 * [backup-simplify]: Simplify (+ 0 0) into 0
18.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.637 * [backup-simplify]: Simplify (sqrt 0) into 0
18.638 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.638 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.638 * [taylor]: Taking taylor expansion of -1 in re
18.638 * [backup-simplify]: Simplify -1 into -1
18.638 * [taylor]: Taking taylor expansion of re in re
18.638 * [backup-simplify]: Simplify 0 into 0
18.638 * [backup-simplify]: Simplify 1 into 1
18.639 * [backup-simplify]: Simplify (/ -1 1) into -1
18.639 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
18.639 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.639 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.639 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.639 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.639 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.639 * [taylor]: Taking taylor expansion of -1 in re
18.639 * [backup-simplify]: Simplify -1 into -1
18.639 * [taylor]: Taking taylor expansion of re in re
18.639 * [backup-simplify]: Simplify 0 into 0
18.639 * [backup-simplify]: Simplify 1 into 1
18.640 * [backup-simplify]: Simplify (/ -1 1) into -1
18.640 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.640 * [taylor]: Taking taylor expansion of -1 in re
18.640 * [backup-simplify]: Simplify -1 into -1
18.640 * [taylor]: Taking taylor expansion of re in re
18.640 * [backup-simplify]: Simplify 0 into 0
18.640 * [backup-simplify]: Simplify 1 into 1
18.640 * [backup-simplify]: Simplify (/ -1 1) into -1
18.640 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.640 * [taylor]: Taking taylor expansion of -1 in re
18.640 * [backup-simplify]: Simplify -1 into -1
18.640 * [taylor]: Taking taylor expansion of im in re
18.640 * [backup-simplify]: Simplify im into im
18.640 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.640 * [taylor]: Taking taylor expansion of -1 in re
18.641 * [backup-simplify]: Simplify -1 into -1
18.641 * [taylor]: Taking taylor expansion of im in re
18.641 * [backup-simplify]: Simplify im into im
18.641 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.641 * [backup-simplify]: Simplify (* -1 -1) into 1
18.641 * [backup-simplify]: Simplify (+ 1 0) into 1
18.642 * [backup-simplify]: Simplify (sqrt 1) into 1
18.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.644 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.645 * [backup-simplify]: Simplify (+ 0 0) into 0
18.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.645 * [taylor]: Taking taylor expansion of re in re
18.646 * [backup-simplify]: Simplify 0 into 0
18.646 * [backup-simplify]: Simplify 1 into 1
18.646 * [backup-simplify]: Simplify (/ 1 1) into 1
18.646 * [backup-simplify]: Simplify (* 0 0) into 0
18.647 * [backup-simplify]: Simplify (+ 0 0) into 0
18.647 * [backup-simplify]: Simplify (- 1) into -1
18.647 * [backup-simplify]: Simplify (+ 1 -1) into 0
18.648 * [backup-simplify]: Simplify (* 0 0) into 0
18.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.649 * [backup-simplify]: Simplify (- 0) into 0
18.649 * [backup-simplify]: Simplify (+ 0 0) into 0
18.650 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
18.650 * [backup-simplify]: Simplify (+ 0 -1) into -1
18.651 * [backup-simplify]: Simplify (+ (* 0 0) (* -1 0)) into 0
18.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.654 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.654 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.654 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.655 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.657 * [backup-simplify]: Simplify (- 0) into 0
18.657 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
18.660 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.663 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.665 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
18.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.667 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
18.668 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* -1 0) (* (- +nan.0) 0))) into 0
18.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.671 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.671 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.671 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.672 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.672 * [backup-simplify]: Simplify (+ 0 0) into 0
18.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.674 * [backup-simplify]: Simplify (- 0) into 0
18.674 * [backup-simplify]: Simplify (+ 0 0) into 0
18.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.678 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.678 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.678 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.679 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.681 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
18.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.690 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.690 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.692 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.694 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
18.695 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
18.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.697 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
18.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 (* 1/2 (/ 1 (pow im 2)))) (+ (* (- +nan.0) 0) (* (- +nan.0) 0)))) into (- (* 1/2 (/ 1 (pow im 2))))
18.699 * [backup-simplify]: Simplify (sqrt (- (* 1/2 (/ 1 (pow im 2))))) into (sqrt (- (* 1/2 (/ 1 (pow im 2)))))
18.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.702 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
18.702 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.702 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.703 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
18.703 * [backup-simplify]: Simplify (+ 0 0) into 0
18.705 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
18.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.706 * [backup-simplify]: Simplify (- 0) into 0
18.706 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
18.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.709 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.709 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.710 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.710 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.710 * [backup-simplify]: Simplify (+ 0 0) into 0
18.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.712 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.715 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.715 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.716 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.716 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.716 * [backup-simplify]: Simplify (+ 0 0) into 0
18.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.718 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.721 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.722 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.725 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* -1 0) (+ (* (- +nan.0) (* 1/2 (/ 1 (pow im 2)))) (+ (* (- +nan.0) 0) (* (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (* +nan.0 (/ 1 (pow im 2))))
18.725 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (pow im 2)))) (* 2 (sqrt (- (* 1/2 (/ 1 (pow im 2))))))) into (/ +nan.0 (* (sqrt (- (* 1/2 (/ 1 (pow im 2))))) (pow im 2)))
18.725 * [taylor]: Taking taylor expansion of (sqrt (- (* 1/2 (/ 1 (pow im 2))))) in im
18.725 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2)))) in im
18.725 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
18.725 * [taylor]: Taking taylor expansion of 1/2 in im
18.725 * [backup-simplify]: Simplify 1/2 into 1/2
18.725 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.725 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.725 * [taylor]: Taking taylor expansion of im in im
18.726 * [backup-simplify]: Simplify 0 into 0
18.726 * [backup-simplify]: Simplify 1 into 1
18.726 * [backup-simplify]: Simplify (* 1 1) into 1
18.726 * [backup-simplify]: Simplify (/ 1 1) into 1
18.727 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.727 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.727 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.728 * [backup-simplify]: Simplify (sqrt -1/2) into (sqrt -1/2)
18.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.730 * [backup-simplify]: Simplify (- 0) into 0
18.730 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/2))) into 0
18.731 * [backup-simplify]: Simplify (sqrt -1/2) into (sqrt -1/2)
18.732 * [taylor]: Taking taylor expansion of (/ +nan.0 (* (sqrt (- (* 1/2 (/ 1 (pow im 2))))) (pow im 2))) in im
18.732 * [taylor]: Taking taylor expansion of +nan.0 in im
18.732 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.732 * [taylor]: Taking taylor expansion of (* (sqrt (- (* 1/2 (/ 1 (pow im 2))))) (pow im 2)) in im
18.732 * [taylor]: Taking taylor expansion of (sqrt (- (* 1/2 (/ 1 (pow im 2))))) in im
18.732 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2)))) in im
18.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
18.732 * [taylor]: Taking taylor expansion of 1/2 in im
18.732 * [backup-simplify]: Simplify 1/2 into 1/2
18.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.732 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.732 * [taylor]: Taking taylor expansion of im in im
18.732 * [backup-simplify]: Simplify 0 into 0
18.732 * [backup-simplify]: Simplify 1 into 1
18.732 * [backup-simplify]: Simplify (* 1 1) into 1
18.733 * [backup-simplify]: Simplify (/ 1 1) into 1
18.733 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.733 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.734 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.734 * [backup-simplify]: Simplify (sqrt -1/2) into (sqrt -1/2)
18.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.737 * [backup-simplify]: Simplify (- 0) into 0
18.737 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/2))) into 0
18.738 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.738 * [taylor]: Taking taylor expansion of im in im
18.738 * [backup-simplify]: Simplify 0 into 0
18.738 * [backup-simplify]: Simplify 1 into 1
18.738 * [backup-simplify]: Simplify (* 1 1) into 1
18.739 * [backup-simplify]: Simplify (* (sqrt -1/2) 1) into (sqrt -1/2)
18.740 * [backup-simplify]: Simplify (/ +nan.0 (sqrt -1/2)) into (/ +nan.0 (sqrt -1/2))
18.741 * [backup-simplify]: Simplify (/ +nan.0 (sqrt -1/2)) into (/ +nan.0 (sqrt -1/2))
18.741 * [backup-simplify]: Simplify 0 into 0
18.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
18.745 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.745 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.746 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 im))))) into 0
18.747 * [backup-simplify]: Simplify (+ 0 0) into 0
18.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0
18.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.749 * [backup-simplify]: Simplify (- 0) into 0
18.749 * [backup-simplify]: Simplify (+ 0 0) into 0
18.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
18.753 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.753 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.754 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
18.754 * [backup-simplify]: Simplify (+ 0 0) into 0
18.756 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
18.757 * [backup-simplify]: Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
18.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
18.761 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.761 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
18.761 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
18.762 * [backup-simplify]: Simplify (+ 0 0) into 0
18.763 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
18.765 * [backup-simplify]: Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
18.768 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (+ (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) 0)))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.770 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
18.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) (* 1/2 (/ 1 (pow im 2)))) (+ (* (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) (* (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0)))))) into (- (* 1/8 (/ 1 (pow im 4))) (* +nan.0 (/ 1 (pow im 2))))
18.774 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4))) (* +nan.0 (/ 1 (pow im 2)))) (pow (/ +nan.0 (* (sqrt (- (* 1/2 (/ 1 (pow im 2))))) (pow im 2))) 2) (+)) (* 2 (sqrt (- (* 1/2 (/ 1 (pow im 2))))))) into (* 1/2 (/ (- (* 1/8 (/ 1 (pow im 4))) (+ (* +nan.0 (/ 1 (pow im 2))) (- (* +nan.0 (/ 1 (* (pow (sqrt (- (* 1/2 (/ 1 (pow im 2))))) 2) (pow im 4))))))) (sqrt (- (* 1/2 (/ 1 (pow im 2)))))))
18.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* 1/8 (/ 1 (pow im 4))) (+ (* +nan.0 (/ 1 (pow im 2))) (- (* +nan.0 (/ 1 (* (pow (sqrt (- (* 1/2 (/ 1 (pow im 2))))) 2) (pow im 4))))))) (sqrt (- (* 1/2 (/ 1 (pow im 2))))))) in im
18.774 * [taylor]: Taking taylor expansion of 1/2 in im
18.774 * [backup-simplify]: Simplify 1/2 into 1/2
18.774 * [taylor]: Taking taylor expansion of (/ (- (* 1/8 (/ 1 (pow im 4))) (+ (* +nan.0 (/ 1 (pow im 2))) (- (* +nan.0 (/ 1 (* (pow (sqrt (- (* 1/2 (/ 1 (pow im 2))))) 2) (pow im 4))))))) (sqrt (- (* 1/2 (/ 1 (pow im 2)))))) in im
18.774 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow im 4))) (+ (* +nan.0 (/ 1 (pow im 2))) (- (* +nan.0 (/ 1 (* (pow (sqrt (- (* 1/2 (/ 1 (pow im 2))))) 2) (pow im 4))))))) in im
18.775 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
18.775 * [taylor]: Taking taylor expansion of 1/8 in im
18.775 * [backup-simplify]: Simplify 1/8 into 1/8
18.775 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
18.775 * [taylor]: Taking taylor expansion of (pow im 4) in im
18.775 * [taylor]: Taking taylor expansion of im in im
18.775 * [backup-simplify]: Simplify 0 into 0
18.775 * [backup-simplify]: Simplify 1 into 1
18.775 * [backup-simplify]: Simplify (* 1 1) into 1
18.775 * [backup-simplify]: Simplify (* 1 1) into 1
18.776 * [backup-simplify]: Simplify (/ 1 1) into 1
18.776 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- (* +nan.0 (/ 1 (* (pow (sqrt (- (* 1/2 (/ 1 (pow im 2))))) 2) (pow im 4)))))) in im
18.776 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
18.776 * [taylor]: Taking taylor expansion of +nan.0 in im
18.776 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.776 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.776 * [taylor]: Taking taylor expansion of im in im
18.776 * [backup-simplify]: Simplify 0 into 0
18.776 * [backup-simplify]: Simplify 1 into 1
18.776 * [backup-simplify]: Simplify (* 1 1) into 1
18.777 * [backup-simplify]: Simplify (/ 1 1) into 1
18.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (sqrt (- (* 1/2 (/ 1 (pow im 2))))) 2) (pow im 4))))) in im
18.777 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt (- (* 1/2 (/ 1 (pow im 2))))) 2) (pow im 4)))) in im
18.777 * [taylor]: Taking taylor expansion of +nan.0 in im
18.777 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.777 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt (- (* 1/2 (/ 1 (pow im 2))))) 2) (pow im 4))) in im
18.777 * [taylor]: Taking taylor expansion of (* (pow (sqrt (- (* 1/2 (/ 1 (pow im 2))))) 2) (pow im 4)) in im
18.777 * [taylor]: Taking taylor expansion of (pow (sqrt (- (* 1/2 (/ 1 (pow im 2))))) 2) in im
18.777 * [taylor]: Taking taylor expansion of (sqrt (- (* 1/2 (/ 1 (pow im 2))))) in im
18.777 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2)))) in im
18.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
18.777 * [taylor]: Taking taylor expansion of 1/2 in im
18.777 * [backup-simplify]: Simplify 1/2 into 1/2
18.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.777 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.777 * [taylor]: Taking taylor expansion of im in im
18.777 * [backup-simplify]: Simplify 0 into 0
18.777 * [backup-simplify]: Simplify 1 into 1
18.778 * [backup-simplify]: Simplify (* 1 1) into 1
18.778 * [backup-simplify]: Simplify (/ 1 1) into 1
18.778 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.779 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.779 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.779 * [backup-simplify]: Simplify (sqrt -1/2) into (sqrt -1/2)
18.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.782 * [backup-simplify]: Simplify (- 0) into 0
18.782 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/2))) into 0
18.783 * [taylor]: Taking taylor expansion of (pow im 4) in im
18.783 * [taylor]: Taking taylor expansion of im in im
18.783 * [backup-simplify]: Simplify 0 into 0
18.783 * [backup-simplify]: Simplify 1 into 1
18.784 * [backup-simplify]: Simplify (* (sqrt -1/2) (sqrt -1/2)) into (pow (sqrt -1/2) 2)
18.785 * [backup-simplify]: Simplify (* 1 1) into 1
18.785 * [backup-simplify]: Simplify (* 1 1) into 1
18.787 * [backup-simplify]: Simplify (* (pow (sqrt -1/2) 2) 1) into (pow (sqrt -1/2) 2)
18.788 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1/2) 2)) into (/ 1 (pow (sqrt -1/2) 2))
18.788 * [taylor]: Taking taylor expansion of (sqrt (- (* 1/2 (/ 1 (pow im 2))))) in im
18.788 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2)))) in im
18.788 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
18.788 * [taylor]: Taking taylor expansion of 1/2 in im
18.788 * [backup-simplify]: Simplify 1/2 into 1/2
18.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.788 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.788 * [taylor]: Taking taylor expansion of im in im
18.789 * [backup-simplify]: Simplify 0 into 0
18.789 * [backup-simplify]: Simplify 1 into 1
18.789 * [backup-simplify]: Simplify (* 1 1) into 1
18.789 * [backup-simplify]: Simplify (/ 1 1) into 1
18.790 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.790 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.790 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.791 * [backup-simplify]: Simplify (sqrt -1/2) into (sqrt -1/2)
18.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.793 * [backup-simplify]: Simplify (- 0) into 0
18.794 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/2))) into 0
18.795 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
18.795 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
18.795 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1/2)) into (/ 1/8 (sqrt -1/2))
18.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.799 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
18.799 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
18.801 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (pow (sqrt -1/2) 2))) into (/ +nan.0 (pow (sqrt -1/2) 2))
18.802 * [backup-simplify]: Simplify (- (/ +nan.0 (pow (sqrt -1/2) 2))) into (- (* +nan.0 (/ 1 (pow (sqrt -1/2) 2))))
18.805 * [backup-simplify]: Simplify (+ +nan.0 (- (* +nan.0 (/ 1 (pow (sqrt -1/2) 2))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt -1/2) 2))) (- +nan.0)))
18.809 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt -1/2) 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt -1/2) 2))) (- +nan.0)))
18.814 * [backup-simplify]: Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt -1/2) 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt -1/2) 2))) (- +nan.0)))
18.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
18.815 * [backup-simplify]: Simplify (- 0) into 0
18.820 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1/2))) into 0
18.821 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
18.821 * [backup-simplify]: Simplify (+ 0 0) into 0
18.822 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1/2)) (+ (* (/ 1/8 (sqrt -1/2)) (/ 0 (sqrt -1/2))))) into 0
18.833 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt -1/2) 2))) (- +nan.0))) (sqrt -1/2)) (+ (* (/ 1/8 (sqrt -1/2)) (/ 0 (sqrt -1/2))) (* 0 (/ 0 (sqrt -1/2))))) into (- (+ (* +nan.0 (/ 1 (sqrt -1/2))) (- (* +nan.0 (/ 1 (pow (sqrt -1/2) 3))))))
18.850 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (/ 1 (sqrt -1/2))) (- (* +nan.0 (/ 1 (pow (sqrt -1/2) 3))))))) (+ (* 0 0) (* 0 (/ 1/8 (sqrt -1/2))))) into (- (+ (* +nan.0 (/ 1 (sqrt -1/2))) (- (* +nan.0 (/ 1 (pow (sqrt -1/2) 3))))))
18.859 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt -1/2))) (- (* +nan.0 (/ 1 (pow (sqrt -1/2) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt -1/2))) (- (* +nan.0 (/ 1 (pow (sqrt -1/2) 3))))))
18.870 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt -1/2))) (- (* +nan.0 (/ 1 (pow (sqrt -1/2) 3)))))) (* (/ 1 (/ 1 (- im))) (pow (/ 1 (- re)) 2))) (+ (* (/ +nan.0 (sqrt -1/2)) (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))) (* (sqrt -1/2) (* (/ 1 (/ 1 (- im))) 1)))) into (- (+ (* +nan.0 (/ im (* (pow re 2) (sqrt -1/2)))) (- (* (sqrt -1/2) im) (+ (* +nan.0 (/ im (* re (sqrt -1/2)))) (- (* +nan.0 (/ im (* (pow re 2) (pow (sqrt -1/2) 3)))))))))
18.870 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1)
18.870 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
18.870 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
18.870 * [taylor]: Taking taylor expansion of (hypot re im) in im
18.871 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.871 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
18.871 * [taylor]: Taking taylor expansion of (* re re) in im
18.871 * [taylor]: Taking taylor expansion of re in im
18.871 * [backup-simplify]: Simplify re into re
18.871 * [taylor]: Taking taylor expansion of re in im
18.871 * [backup-simplify]: Simplify re into re
18.871 * [taylor]: Taking taylor expansion of (* im im) in im
18.871 * [taylor]: Taking taylor expansion of im in im
18.871 * [backup-simplify]: Simplify 0 into 0
18.871 * [backup-simplify]: Simplify 1 into 1
18.871 * [taylor]: Taking taylor expansion of im in im
18.871 * [backup-simplify]: Simplify 0 into 0
18.871 * [backup-simplify]: Simplify 1 into 1
18.871 * [backup-simplify]: Simplify (* re re) into (pow re 2)
18.871 * [backup-simplify]: Simplify (* 0 0) into 0
18.872 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
18.872 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
18.872 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
18.873 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.873 * [backup-simplify]: Simplify (+ 0 0) into 0
18.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
18.873 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.873 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.873 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.873 * [taylor]: Taking taylor expansion of (* re re) in re
18.873 * [taylor]: Taking taylor expansion of re in re
18.873 * [backup-simplify]: Simplify 0 into 0
18.873 * [backup-simplify]: Simplify 1 into 1
18.873 * [taylor]: Taking taylor expansion of re in re
18.873 * [backup-simplify]: Simplify 0 into 0
18.873 * [backup-simplify]: Simplify 1 into 1
18.874 * [taylor]: Taking taylor expansion of (* im im) in re
18.874 * [taylor]: Taking taylor expansion of im in re
18.874 * [backup-simplify]: Simplify im into im
18.874 * [taylor]: Taking taylor expansion of im in re
18.874 * [backup-simplify]: Simplify im into im
18.874 * [backup-simplify]: Simplify (* 0 0) into 0
18.874 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.874 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.874 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.875 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.875 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.875 * [backup-simplify]: Simplify (+ 0 0) into 0
18.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.876 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.876 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.876 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.876 * [taylor]: Taking taylor expansion of (* re re) in re
18.876 * [taylor]: Taking taylor expansion of re in re
18.876 * [backup-simplify]: Simplify 0 into 0
18.876 * [backup-simplify]: Simplify 1 into 1
18.876 * [taylor]: Taking taylor expansion of re in re
18.876 * [backup-simplify]: Simplify 0 into 0
18.876 * [backup-simplify]: Simplify 1 into 1
18.876 * [taylor]: Taking taylor expansion of (* im im) in re
18.876 * [taylor]: Taking taylor expansion of im in re
18.876 * [backup-simplify]: Simplify im into im
18.876 * [taylor]: Taking taylor expansion of im in re
18.876 * [backup-simplify]: Simplify im into im
18.877 * [backup-simplify]: Simplify (* 0 0) into 0
18.877 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.877 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.877 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.877 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.878 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.878 * [backup-simplify]: Simplify (+ 0 0) into 0
18.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.878 * [taylor]: Taking taylor expansion of im in im
18.878 * [backup-simplify]: Simplify 0 into 0
18.878 * [backup-simplify]: Simplify 1 into 1
18.878 * [backup-simplify]: Simplify 0 into 0
18.878 * [taylor]: Taking taylor expansion of 0 in im
18.878 * [backup-simplify]: Simplify 0 into 0
18.878 * [backup-simplify]: Simplify 0 into 0
18.878 * [backup-simplify]: Simplify 1 into 1
18.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
18.880 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
18.880 * [backup-simplify]: Simplify (+ 1 0) into 1
18.881 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
18.881 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
18.881 * [taylor]: Taking taylor expansion of 1/2 in im
18.881 * [backup-simplify]: Simplify 1/2 into 1/2
18.881 * [taylor]: Taking taylor expansion of im in im
18.881 * [backup-simplify]: Simplify 0 into 0
18.881 * [backup-simplify]: Simplify 1 into 1
18.881 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
18.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
18.882 * [backup-simplify]: Simplify 0 into 0
18.882 * [backup-simplify]: Simplify 0 into 0
18.882 * [backup-simplify]: Simplify 0 into 0
18.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
18.884 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
18.885 * [backup-simplify]: Simplify (+ 0 0) into 0
18.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
18.885 * [taylor]: Taking taylor expansion of 0 in im
18.885 * [backup-simplify]: Simplify 0 into 0
18.885 * [backup-simplify]: Simplify 0 into 0
18.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.886 * [backup-simplify]: Simplify 0 into 0
18.886 * [backup-simplify]: Simplify 0 into 0
18.886 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
18.886 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
18.886 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
18.886 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
18.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.887 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
18.887 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
18.887 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.887 * [taylor]: Taking taylor expansion of re in im
18.887 * [backup-simplify]: Simplify re into re
18.887 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.887 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.887 * [taylor]: Taking taylor expansion of re in im
18.887 * [backup-simplify]: Simplify re into re
18.887 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.887 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
18.887 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.887 * [taylor]: Taking taylor expansion of im in im
18.887 * [backup-simplify]: Simplify 0 into 0
18.887 * [backup-simplify]: Simplify 1 into 1
18.887 * [backup-simplify]: Simplify (/ 1 1) into 1
18.887 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.887 * [taylor]: Taking taylor expansion of im in im
18.887 * [backup-simplify]: Simplify 0 into 0
18.887 * [backup-simplify]: Simplify 1 into 1
18.888 * [backup-simplify]: Simplify (/ 1 1) into 1
18.888 * [backup-simplify]: Simplify (* 1 1) into 1
18.889 * [backup-simplify]: Simplify (+ 0 1) into 1
18.889 * [backup-simplify]: Simplify (sqrt 1) into 1
18.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.892 * [backup-simplify]: Simplify (+ 0 0) into 0
18.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.892 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.893 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.893 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.893 * [taylor]: Taking taylor expansion of re in re
18.893 * [backup-simplify]: Simplify 0 into 0
18.893 * [backup-simplify]: Simplify 1 into 1
18.893 * [backup-simplify]: Simplify (/ 1 1) into 1
18.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.893 * [taylor]: Taking taylor expansion of re in re
18.893 * [backup-simplify]: Simplify 0 into 0
18.893 * [backup-simplify]: Simplify 1 into 1
18.894 * [backup-simplify]: Simplify (/ 1 1) into 1
18.894 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.894 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.894 * [taylor]: Taking taylor expansion of im in re
18.894 * [backup-simplify]: Simplify im into im
18.894 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.894 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.894 * [taylor]: Taking taylor expansion of im in re
18.894 * [backup-simplify]: Simplify im into im
18.894 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.894 * [backup-simplify]: Simplify (* 1 1) into 1
18.895 * [backup-simplify]: Simplify (+ 1 0) into 1
18.895 * [backup-simplify]: Simplify (sqrt 1) into 1
18.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.898 * [backup-simplify]: Simplify (+ 0 0) into 0
18.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.899 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.899 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.899 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.899 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.899 * [taylor]: Taking taylor expansion of re in re
18.899 * [backup-simplify]: Simplify 0 into 0
18.899 * [backup-simplify]: Simplify 1 into 1
18.899 * [backup-simplify]: Simplify (/ 1 1) into 1
18.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.900 * [taylor]: Taking taylor expansion of re in re
18.900 * [backup-simplify]: Simplify 0 into 0
18.900 * [backup-simplify]: Simplify 1 into 1
18.900 * [backup-simplify]: Simplify (/ 1 1) into 1
18.900 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.900 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.900 * [taylor]: Taking taylor expansion of im in re
18.900 * [backup-simplify]: Simplify im into im
18.900 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.900 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.900 * [taylor]: Taking taylor expansion of im in re
18.900 * [backup-simplify]: Simplify im into im
18.900 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.901 * [backup-simplify]: Simplify (* 1 1) into 1
18.901 * [backup-simplify]: Simplify (+ 1 0) into 1
18.901 * [backup-simplify]: Simplify (sqrt 1) into 1
18.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.904 * [backup-simplify]: Simplify (+ 0 0) into 0
18.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.905 * [taylor]: Taking taylor expansion of 1 in im
18.905 * [backup-simplify]: Simplify 1 into 1
18.905 * [taylor]: Taking taylor expansion of 0 in im
18.905 * [backup-simplify]: Simplify 0 into 0
18.905 * [backup-simplify]: Simplify 1 into 1
18.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.908 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
18.909 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.910 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.910 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
18.910 * [taylor]: Taking taylor expansion of 1/2 in im
18.910 * [backup-simplify]: Simplify 1/2 into 1/2
18.910 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.910 * [taylor]: Taking taylor expansion of im in im
18.910 * [backup-simplify]: Simplify 0 into 0
18.910 * [backup-simplify]: Simplify 1 into 1
18.911 * [backup-simplify]: Simplify (* 1 1) into 1
18.911 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
18.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
18.913 * [backup-simplify]: Simplify 0 into 0
18.913 * [backup-simplify]: Simplify 0 into 0
18.913 * [backup-simplify]: Simplify 0 into 0
18.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.917 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
18.917 * [backup-simplify]: Simplify (+ 0 0) into 0
18.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.918 * [taylor]: Taking taylor expansion of 0 in im
18.918 * [backup-simplify]: Simplify 0 into 0
18.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.920 * [backup-simplify]: Simplify 0 into 0
18.920 * [backup-simplify]: Simplify 0 into 0
18.920 * [backup-simplify]: Simplify 0 into 0
18.920 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
18.921 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
18.921 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
18.921 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
18.921 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.921 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
18.921 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
18.921 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.921 * [taylor]: Taking taylor expansion of -1 in im
18.921 * [backup-simplify]: Simplify -1 into -1
18.921 * [taylor]: Taking taylor expansion of re in im
18.921 * [backup-simplify]: Simplify re into re
18.921 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.921 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.921 * [taylor]: Taking taylor expansion of -1 in im
18.921 * [backup-simplify]: Simplify -1 into -1
18.921 * [taylor]: Taking taylor expansion of re in im
18.921 * [backup-simplify]: Simplify re into re
18.921 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.922 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
18.922 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.922 * [taylor]: Taking taylor expansion of -1 in im
18.922 * [backup-simplify]: Simplify -1 into -1
18.922 * [taylor]: Taking taylor expansion of im in im
18.922 * [backup-simplify]: Simplify 0 into 0
18.922 * [backup-simplify]: Simplify 1 into 1
18.922 * [backup-simplify]: Simplify (/ -1 1) into -1
18.922 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.922 * [taylor]: Taking taylor expansion of -1 in im
18.922 * [backup-simplify]: Simplify -1 into -1
18.922 * [taylor]: Taking taylor expansion of im in im
18.922 * [backup-simplify]: Simplify 0 into 0
18.922 * [backup-simplify]: Simplify 1 into 1
18.923 * [backup-simplify]: Simplify (/ -1 1) into -1
18.923 * [backup-simplify]: Simplify (* -1 -1) into 1
18.924 * [backup-simplify]: Simplify (+ 0 1) into 1
18.924 * [backup-simplify]: Simplify (sqrt 1) into 1
18.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.927 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.927 * [backup-simplify]: Simplify (+ 0 0) into 0
18.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.928 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.928 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.928 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.928 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.928 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.928 * [taylor]: Taking taylor expansion of -1 in re
18.928 * [backup-simplify]: Simplify -1 into -1
18.928 * [taylor]: Taking taylor expansion of re in re
18.928 * [backup-simplify]: Simplify 0 into 0
18.928 * [backup-simplify]: Simplify 1 into 1
18.929 * [backup-simplify]: Simplify (/ -1 1) into -1
18.929 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.929 * [taylor]: Taking taylor expansion of -1 in re
18.929 * [backup-simplify]: Simplify -1 into -1
18.929 * [taylor]: Taking taylor expansion of re in re
18.929 * [backup-simplify]: Simplify 0 into 0
18.929 * [backup-simplify]: Simplify 1 into 1
18.929 * [backup-simplify]: Simplify (/ -1 1) into -1
18.929 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.929 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.929 * [taylor]: Taking taylor expansion of -1 in re
18.929 * [backup-simplify]: Simplify -1 into -1
18.930 * [taylor]: Taking taylor expansion of im in re
18.930 * [backup-simplify]: Simplify im into im
18.930 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.930 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.930 * [taylor]: Taking taylor expansion of -1 in re
18.930 * [backup-simplify]: Simplify -1 into -1
18.930 * [taylor]: Taking taylor expansion of im in re
18.930 * [backup-simplify]: Simplify im into im
18.930 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.930 * [backup-simplify]: Simplify (* -1 -1) into 1
18.931 * [backup-simplify]: Simplify (+ 1 0) into 1
18.931 * [backup-simplify]: Simplify (sqrt 1) into 1
18.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.933 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.934 * [backup-simplify]: Simplify (+ 0 0) into 0
18.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.935 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.935 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.935 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.935 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.935 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.935 * [taylor]: Taking taylor expansion of -1 in re
18.935 * [backup-simplify]: Simplify -1 into -1
18.935 * [taylor]: Taking taylor expansion of re in re
18.935 * [backup-simplify]: Simplify 0 into 0
18.935 * [backup-simplify]: Simplify 1 into 1
18.936 * [backup-simplify]: Simplify (/ -1 1) into -1
18.936 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.936 * [taylor]: Taking taylor expansion of -1 in re
18.936 * [backup-simplify]: Simplify -1 into -1
18.936 * [taylor]: Taking taylor expansion of re in re
18.936 * [backup-simplify]: Simplify 0 into 0
18.936 * [backup-simplify]: Simplify 1 into 1
18.936 * [backup-simplify]: Simplify (/ -1 1) into -1
18.936 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.936 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.936 * [taylor]: Taking taylor expansion of -1 in re
18.936 * [backup-simplify]: Simplify -1 into -1
18.936 * [taylor]: Taking taylor expansion of im in re
18.937 * [backup-simplify]: Simplify im into im
18.937 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.937 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.937 * [taylor]: Taking taylor expansion of -1 in re
18.937 * [backup-simplify]: Simplify -1 into -1
18.937 * [taylor]: Taking taylor expansion of im in re
18.937 * [backup-simplify]: Simplify im into im
18.937 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.937 * [backup-simplify]: Simplify (* -1 -1) into 1
18.938 * [backup-simplify]: Simplify (+ 1 0) into 1
18.938 * [backup-simplify]: Simplify (sqrt 1) into 1
18.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.941 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.941 * [backup-simplify]: Simplify (+ 0 0) into 0
18.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.942 * [taylor]: Taking taylor expansion of 1 in im
18.942 * [backup-simplify]: Simplify 1 into 1
18.942 * [taylor]: Taking taylor expansion of 0 in im
18.942 * [backup-simplify]: Simplify 0 into 0
18.942 * [backup-simplify]: Simplify 1 into 1
18.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.945 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.945 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.946 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.947 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.947 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
18.947 * [taylor]: Taking taylor expansion of 1/2 in im
18.947 * [backup-simplify]: Simplify 1/2 into 1/2
18.947 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.947 * [taylor]: Taking taylor expansion of im in im
18.947 * [backup-simplify]: Simplify 0 into 0
18.947 * [backup-simplify]: Simplify 1 into 1
18.948 * [backup-simplify]: Simplify (* 1 1) into 1
18.948 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
18.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
18.950 * [backup-simplify]: Simplify 0 into 0
18.950 * [backup-simplify]: Simplify 0 into 0
18.950 * [backup-simplify]: Simplify 0 into 0
18.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.953 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.953 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.953 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.954 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.954 * [backup-simplify]: Simplify (+ 0 0) into 0
18.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.955 * [taylor]: Taking taylor expansion of 0 in im
18.955 * [backup-simplify]: Simplify 0 into 0
18.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.957 * [backup-simplify]: Simplify 0 into 0
18.957 * [backup-simplify]: Simplify 0 into 0
18.957 * [backup-simplify]: Simplify 0 into 0
18.957 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
18.957 * * * [progress]: simplifying candidates
18.959 * [simplify]: Simplifying:
  (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))
  (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (* (exp (hypot re im)) (exp re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))))
  (log1p (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (+ (hypot re im) re))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re)))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (+ (hypot re im) re))
  (+ (log (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (log (sqrt (+ (hypot re im) re))))
  (log (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))))
  (exp (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))))
  (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))))
  (* (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re)))) (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re)))))
  (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))))
  (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re)))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (+ (hypot re im) re))
  (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))))
  (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 1))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 1))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) 1)
  (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re)))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re)))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (pow (hypot re im) 3) (pow re 3))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))
  (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (- (* re (sqrt 2)) (+ (* +nan.0 (/ 1 (* re (pow (sqrt 2) 3)))) (- (+ (* +nan.0 (/ 1 (sqrt 2))) (- (* +nan.0 (/ 1 (* re (sqrt 2)))))))))
  (- (+ (* +nan.0 (/ im (* (pow re 2) (sqrt -1/2)))) (- (* (sqrt -1/2) im) (+ (* +nan.0 (/ im (* re (sqrt -1/2)))) (- (* +nan.0 (/ im (* (pow re 2) (pow (sqrt -1/2) 3)))))))))
  im
  re
  (* -1 re)
18.963 * * [simplify]: Extracting # 0 : cost  0
18.964 * * [simplify]: Extracting # 1 : cost  0
18.964 * * [simplify]: Extracting # 2 : cost  0
18.964 * * [simplify]: Extracting # 3 : cost  0
18.964 * * [simplify]: Extracting # 4 : cost  0
18.965 * * [simplify]: Extracting # 5 : cost  0
18.965 * * [simplify]: Extracting # 6 : cost  0
18.965 * * [simplify]: Extracting # 7 : cost  0
18.966 * * [simplify]: Extracting # 8 : cost  0
18.966 * * [simplify]: Extracting # 9 : cost  0
18.966 * * [simplify]: Extracting # 10 : cost  0
18.967 * * [simplify]: Extracting # 11 : cost  0
18.967 * * [simplify]: Extracting # 12 : cost  0
18.967 * * [simplify]: Extracting # 13 : cost  0
18.968 * * [simplify]: iteration  0 :  135  enodes  (cost  1260 )
19.035 * * [simplify]: Extracting # 0 : cost  0
19.036 * * [simplify]: Extracting # 1 : cost  0
19.037 * * [simplify]: Extracting # 2 : cost  0
19.037 * * [simplify]: Extracting # 3 : cost  0
19.038 * * [simplify]: Extracting # 4 : cost  0
19.038 * * [simplify]: iteration  1 :  290  enodes  (cost  793 )
19.176 * * [simplify]: Extracting # 0 : cost  0
19.178 * * [simplify]: Extracting # 1 : cost  0
19.180 * * [simplify]: Extracting # 2 : cost  0
19.181 * * [simplify]: Extracting # 3 : cost  0
19.183 * * [simplify]: Extracting # 4 : cost  0
19.184 * * [simplify]: iteration  2 :  799  enodes  (cost  672 )
19.789 * * [simplify]: Extracting # 0 : cost  0
19.794 * * [simplify]: Extracting # 1 : cost  0
19.799 * * [simplify]: Extracting # 2 : cost  0
19.803 * * [simplify]: Extracting # 3 : cost  0
19.808 * * [simplify]: Extracting # 4 : cost  0
19.812 * * [simplify]: Extracting # 5 : cost  0
19.817 * * [simplify]: iteration  3 :  2415  enodes  (cost  638 )
21.195 * * [simplify]: Extracting # 0 : cost  0
21.201 * * [simplify]: Extracting # 1 : cost  0
21.212 * * [simplify]: Extracting # 2 : cost  0
21.216 * * [simplify]: Extracting # 3 : cost  0
21.221 * * [simplify]: Extracting # 4 : cost  0
21.226 * * [simplify]: iteration done:  5001  enodes  (cost  634 )
21.227 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (hypot re im)
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (fma (- re) re (pow (sqrt (hypot re im)) 4))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (pow (sqrt (+ (hypot re im) re)) 4)
  (+ (hypot re im) re)
  (pow (sqrt (+ (hypot re im) re)) 4)
  (log (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (pow (sqrt (+ (hypot re im) re)) 4)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (* (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (+ (hypot re im) re)) (fabs (cbrt (+ (hypot re im) re))))
  (pow (sqrt (sqrt (+ (hypot re im) re))) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (pow (sqrt (sqrt (+ (hypot re im) re))) 3)
  (sqrt (+ (hypot re im) re))
  (* (sqrt (+ (hypot re im) re)) (cbrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))
  (pow (sqrt (sqrt (+ (hypot re im) re))) 3)
  (+ (hypot re im) re)
  (pow (sqrt (sqrt (+ (hypot re im) re))) 3)
  (+ (hypot re im) re)
  (* (sqrt (+ (hypot re im) re)) (hypot (pow (hypot re im) 3/2) (pow re 3/2)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (fma (- re) re (pow (sqrt (hypot re im)) 4))))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (pow im 2))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (- re (- (* +nan.0 (/ (pow im 2) (pow re 2))) +nan.0))
  (- re (- (* +nan.0 (/ (pow im 2) (pow re 2))) +nan.0))
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (- (fma (sqrt 2) re (/ +nan.0 (sqrt 2))) (* (/ +nan.0 re) (+ (/ 1 (sqrt 2)) (/ 1/2 (sqrt 2)))))
  (fma (- im) (sqrt -1/2) (* +nan.0 (- (- (/ im (* re (sqrt -1/2))) (/ im (* (pow re 2) (pow (sqrt -1/2) 3)))) (/ im (* (pow re 2) (sqrt -1/2))))))
  im
  re
  (- re)
21.227 * * * [progress]: adding candidates to table
21.671 * [progress]: [Phase 3 of 3] Extracting.
21.671 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))>)
21.674 * * * [regime-changes]: Trying 2 branch expressions: (im re)
21.674 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))>)
21.733 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))>)
21.788 * * * [regime]: Found split indices: #<option (#s(si 6 255))>
21.789 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.0)))
21.789 * * [simplify]: Extracting # 0 : cost  0
21.789 * * [simplify]: Extracting # 1 : cost  0
21.789 * * [simplify]: Extracting # 2 : cost  0
21.789 * * [simplify]: Extracting # 3 : cost  0
21.789 * * [simplify]: Extracting # 4 : cost  0
21.789 * * [simplify]: Extracting # 5 : cost  0
21.789 * * [simplify]: Extracting # 6 : cost  0
21.789 * * [simplify]: Extracting # 7 : cost  0
21.789 * * [simplify]: Extracting # 8 : cost  0
21.789 * * [simplify]: Extracting # 9 : cost  0
21.789 * * [simplify]: iteration  0 :  11  enodes  (cost  18 )
21.790 * * [simplify]: Extracting # 0 : cost  0
21.790 * * [simplify]: iteration  1 :  14  enodes  (cost  18 )
21.790 * * [simplify]: Extracting # 0 : cost  0
21.790 * * [simplify]: iteration done:  14  enodes  (cost  18 )
21.790 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.0)))
24.926 * [regime-testing]: Baseline error score: 13.502121211322129
24.927 * [regime-testing]: Oracle error score: 13.070477002107896
24.929 * [regime-testing]: End program error score: 13.502121211322129
25.010 * [regime-testing]: Target error score: 33.497331752154196