9.657 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.024 * * * [progress]: [2/2] Setting up program.
0.027 * [progress]: [Phase 2 of 3] Improving.
0.027 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.027 * [simplify]: Sending expressions to egg_math:
 (* h0 (sqrt (* h1 (+ (sqrt (+ (* h2 h2) (* h3 h3))) h2))))
0.030 * * [simplify]: iteration  0 :  24  enodes  (cost  8 )
0.031 * * [simplify]: iteration  1 :  30  enodes  (cost  8 )
0.033 * * [simplify]: iteration  2 :  33  enodes  (cost  8 )
0.034 * * [simplify]: iteration  3 :  33  enodes  (cost  8 )
0.034 * * [progress]: iteration 1 / 4
0.034 * * * [progress]: picking best candidate
0.037 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.037 * * * [progress]: localizing error
0.047 * * * [progress]: generating rewritten candidates
0.047 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.055 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.091 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1)
0.100 * * * [progress]: generating series expansions
0.100 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.100 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.100 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.100 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.100 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.100 * [taylor]: Taking taylor expansion of re in im
0.100 * [backup-simplify]: Simplify re into re
0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.100 * [taylor]: Taking taylor expansion of im in im
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.100 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.101 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.101 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.101 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.101 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.101 * [taylor]: Taking taylor expansion of re in re
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.101 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.101 * [taylor]: Taking taylor expansion of im in re
0.101 * [backup-simplify]: Simplify im into im
0.101 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.102 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.102 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.102 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.102 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.102 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.102 * [taylor]: Taking taylor expansion of re in re
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 1 into 1
0.102 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.102 * [taylor]: Taking taylor expansion of im in re
0.102 * [backup-simplify]: Simplify im into im
0.102 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.102 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.102 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.102 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.103 * [taylor]: Taking taylor expansion of im in im
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [taylor]: Taking taylor expansion of 0 in im
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [backup-simplify]: Simplify (* 1 1) into 1
0.104 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.104 * [backup-simplify]: Simplify (+ 1 0) into 1
0.104 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.104 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.104 * [taylor]: Taking taylor expansion of 1/2 in im
0.105 * [backup-simplify]: Simplify 1/2 into 1/2
0.105 * [taylor]: Taking taylor expansion of im in im
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.106 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.107 * [taylor]: Taking taylor expansion of 0 in im
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.107 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.107 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.108 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.108 * [taylor]: Taking taylor expansion of im in im
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify (/ 1 1) into 1
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.108 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.108 * [taylor]: Taking taylor expansion of re in im
0.108 * [backup-simplify]: Simplify re into re
0.108 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.108 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.109 * [backup-simplify]: Simplify (+ 1 0) into 1
0.109 * [backup-simplify]: Simplify (sqrt 1) into 1
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.110 * [taylor]: Taking taylor expansion of im in re
0.110 * [backup-simplify]: Simplify im into im
0.110 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.111 * [taylor]: Taking taylor expansion of (pow re 2) 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 * [backup-simplify]: Simplify (* 1 1) into 1
0.111 * [backup-simplify]: Simplify (/ 1 1) into 1
0.111 * [backup-simplify]: Simplify (+ 0 1) into 1
0.112 * [backup-simplify]: Simplify (sqrt 1) into 1
0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.113 * [taylor]: Taking taylor expansion of im in re
0.113 * [backup-simplify]: Simplify im into im
0.113 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.113 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.113 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.113 * [taylor]: Taking taylor expansion of re in re
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (* 1 1) into 1
0.114 * [backup-simplify]: Simplify (/ 1 1) into 1
0.114 * [backup-simplify]: Simplify (+ 0 1) into 1
0.114 * [backup-simplify]: Simplify (sqrt 1) into 1
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.116 * [taylor]: Taking taylor expansion of 1 in im
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [taylor]: Taking taylor expansion of 0 in im
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.118 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.118 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.118 * [taylor]: Taking taylor expansion of 1/2 in im
0.118 * [backup-simplify]: Simplify 1/2 into 1/2
0.118 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.118 * [taylor]: Taking taylor expansion of im in im
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (* 1 1) into 1
0.118 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.122 * [taylor]: Taking taylor expansion of 0 in im
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.123 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.123 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.123 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.123 * [taylor]: Taking taylor expansion of im in im
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify (* 1 1) into 1
0.124 * [backup-simplify]: Simplify (/ 1 1) into 1
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.124 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.124 * [taylor]: Taking taylor expansion of re in im
0.124 * [backup-simplify]: Simplify re into re
0.124 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.124 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.124 * [backup-simplify]: Simplify (+ 1 0) into 1
0.124 * [backup-simplify]: Simplify (sqrt 1) into 1
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.126 * [taylor]: Taking taylor expansion of im in re
0.126 * [backup-simplify]: Simplify im into im
0.126 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.126 * [taylor]: Taking taylor expansion of re in re
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (* 1 1) into 1
0.126 * [backup-simplify]: Simplify (/ 1 1) into 1
0.127 * [backup-simplify]: Simplify (+ 0 1) into 1
0.127 * [backup-simplify]: Simplify (sqrt 1) into 1
0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.128 * [taylor]: Taking taylor expansion of (pow im 2) 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 (* im im) into (pow im 2)
0.129 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.129 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.129 * [taylor]: Taking taylor expansion of re in re
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify (/ 1 1) into 1
0.129 * [backup-simplify]: Simplify (+ 0 1) into 1
0.130 * [backup-simplify]: Simplify (sqrt 1) into 1
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 in im
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [taylor]: Taking taylor expansion of 0 in im
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.133 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.133 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.133 * [taylor]: Taking taylor expansion of 1/2 in im
0.133 * [backup-simplify]: Simplify 1/2 into 1/2
0.133 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.133 * [taylor]: Taking taylor expansion of im in im
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (* 1 1) into 1
0.134 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.137 * [taylor]: Taking taylor expansion of 0 in im
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 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 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.138 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.138 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.138 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.138 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.138 * [taylor]: Taking taylor expansion of re in im
0.138 * [backup-simplify]: Simplify re into re
0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.138 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.138 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.138 * [taylor]: Taking taylor expansion of re in im
0.138 * [backup-simplify]: Simplify re into re
0.138 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.138 * [taylor]: Taking taylor expansion of im in im
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.138 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.138 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.138 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.138 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.139 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.139 * [taylor]: Taking taylor expansion of re in re
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.139 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.139 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.139 * [taylor]: Taking taylor expansion of re in re
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.139 * [taylor]: Taking taylor expansion of im in re
0.139 * [backup-simplify]: Simplify im into im
0.139 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.139 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.139 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.139 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.140 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.140 * [taylor]: Taking taylor expansion of re in re
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.140 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.140 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.140 * [taylor]: Taking taylor expansion of re in re
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.140 * [taylor]: Taking taylor expansion of im in re
0.140 * [backup-simplify]: Simplify im into im
0.140 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.140 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.140 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.140 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.140 * [backup-simplify]: Simplify (+ 0 im) into im
0.140 * [taylor]: Taking taylor expansion of im in im
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (+ 1 0) into 1
0.141 * [taylor]: Taking taylor expansion of 1 in im
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.142 * [backup-simplify]: Simplify (+ 1 0) into 1
0.142 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.142 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.142 * [taylor]: Taking taylor expansion of 1/2 in im
0.142 * [backup-simplify]: Simplify 1/2 into 1/2
0.142 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.142 * [taylor]: Taking taylor expansion of im in im
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (/ 1 1) into 1
0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (+ (* 1/2 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
0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.144 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [taylor]: Taking taylor expansion of 0 in im
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.146 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.146 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.146 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.146 * [taylor]: Taking taylor expansion of re in im
0.146 * [backup-simplify]: Simplify re into re
0.146 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.146 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.146 * [taylor]: Taking taylor expansion of im in im
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (* 1 1) into 1
0.147 * [backup-simplify]: Simplify (/ 1 1) into 1
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.147 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.147 * [taylor]: Taking taylor expansion of re in im
0.147 * [backup-simplify]: Simplify re into re
0.147 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.147 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.147 * [backup-simplify]: Simplify (+ 1 0) into 1
0.148 * [backup-simplify]: Simplify (sqrt 1) into 1
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.149 * [taylor]: Taking taylor expansion of re in re
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify (/ 1 1) into 1
0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.149 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.149 * [taylor]: Taking taylor expansion of im in re
0.149 * [backup-simplify]: Simplify im into im
0.149 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.150 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.150 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.150 * [taylor]: Taking taylor expansion of re in re
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (* 1 1) into 1
0.150 * [backup-simplify]: Simplify (/ 1 1) into 1
0.150 * [backup-simplify]: Simplify (+ 0 1) into 1
0.151 * [backup-simplify]: Simplify (sqrt 1) into 1
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.157 * [taylor]: Taking taylor expansion of re in re
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (/ 1 1) into 1
0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.157 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.157 * [taylor]: Taking taylor expansion of im in re
0.157 * [backup-simplify]: Simplify im into im
0.157 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.157 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.157 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.157 * [taylor]: Taking taylor expansion of re in re
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (* 1 1) into 1
0.158 * [backup-simplify]: Simplify (/ 1 1) into 1
0.158 * [backup-simplify]: Simplify (+ 0 1) into 1
0.158 * [backup-simplify]: Simplify (sqrt 1) into 1
0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.160 * [backup-simplify]: Simplify (+ 1 1) into 2
0.160 * [taylor]: Taking taylor expansion of 2 in im
0.160 * [backup-simplify]: Simplify 2 into 2
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [taylor]: Taking taylor expansion of 0 in im
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 2 into 2
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.163 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.163 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.163 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.163 * [taylor]: Taking taylor expansion of 1/2 in im
0.163 * [backup-simplify]: Simplify 1/2 into 1/2
0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.164 * [taylor]: Taking taylor expansion of im in im
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (* 1 1) into 1
0.164 * [backup-simplify]: Simplify (/ 1 1) into 1
0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.168 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [taylor]: Taking taylor expansion of 0 in im
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.170 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.170 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.170 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.170 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.170 * [taylor]: Taking taylor expansion of im in im
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (* 1 1) into 1
0.170 * [backup-simplify]: Simplify (/ 1 1) into 1
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.171 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.171 * [taylor]: Taking taylor expansion of re in im
0.171 * [backup-simplify]: Simplify re into re
0.171 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.171 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.171 * [backup-simplify]: Simplify (+ 1 0) into 1
0.171 * [backup-simplify]: Simplify (sqrt 1) into 1
0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.173 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.173 * [taylor]: Taking taylor expansion of re in im
0.173 * [backup-simplify]: Simplify re into re
0.173 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.173 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.173 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.173 * [taylor]: Taking taylor expansion of im in re
0.173 * [backup-simplify]: Simplify im into im
0.173 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.173 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.173 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.173 * [taylor]: Taking taylor expansion of re in re
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify (* 1 1) into 1
0.174 * [backup-simplify]: Simplify (/ 1 1) into 1
0.174 * [backup-simplify]: Simplify (+ 0 1) into 1
0.174 * [backup-simplify]: Simplify (sqrt 1) into 1
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.176 * [taylor]: Taking taylor expansion of re in re
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 1 into 1
0.176 * [backup-simplify]: Simplify (/ 1 1) into 1
0.176 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.176 * [taylor]: Taking taylor expansion of im in re
0.176 * [backup-simplify]: Simplify im into im
0.176 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.176 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.176 * [taylor]: Taking taylor expansion of re in re
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (* 1 1) into 1
0.177 * [backup-simplify]: Simplify (/ 1 1) into 1
0.177 * [backup-simplify]: Simplify (+ 0 1) into 1
0.177 * [backup-simplify]: Simplify (sqrt 1) into 1
0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) into 0
0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.179 * [taylor]: Taking taylor expansion of re in re
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.179 * [backup-simplify]: Simplify (/ 1 1) into 1
0.179 * [backup-simplify]: Simplify (- 1) into -1
0.179 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.179 * [taylor]: Taking taylor expansion of 0 in im
0.179 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (- 0) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [taylor]: Taking taylor expansion of 0 in im
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.182 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (- 0) into 0
0.183 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.183 * [taylor]: Taking taylor expansion of 1/2 in im
0.183 * [backup-simplify]: Simplify 1/2 into 1/2
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.183 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.183 * [taylor]: Taking taylor expansion of im in im
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (* 1 1) into 1
0.184 * [backup-simplify]: Simplify (/ 1 1) into 1
0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ (* 1/2 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 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (+ 0 0) into 0
0.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (- 0) into 0
0.188 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [taylor]: Taking taylor expansion of 0 in im
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1)
0.190 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.190 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.190 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.190 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.190 * [taylor]: Taking taylor expansion of re in im
0.190 * [backup-simplify]: Simplify re into re
0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im
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 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.190 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.190 * [taylor]: Taking taylor expansion of re in re
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.190 * [taylor]: Taking taylor expansion of im in re
0.190 * [backup-simplify]: Simplify im into im
0.190 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.190 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.190 * [taylor]: Taking taylor expansion of re in re
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.190 * [taylor]: Taking taylor expansion of im in re
0.190 * [backup-simplify]: Simplify im into im
0.190 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.190 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im
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 (+ (* im 0) (* 0 im)) into 0
0.190 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [taylor]: Taking taylor expansion of 0 in im
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (* 1 1) into 1
0.191 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.191 * [backup-simplify]: Simplify (+ 1 0) into 1
0.191 * [taylor]: Taking taylor expansion of 1 in im
0.191 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify (* 1 1) into 1
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.193 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.193 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [taylor]: Taking taylor expansion of 0 in im
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.194 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [taylor]: Taking taylor expansion of 0 in im
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.195 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.195 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.195 * [taylor]: Taking taylor expansion of (pow im 2) 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
0.196 * [backup-simplify]: Simplify (/ 1 1) into 1
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.196 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.196 * [taylor]: Taking taylor expansion of re in im
0.196 * [backup-simplify]: Simplify re into re
0.196 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.196 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.196 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.196 * [taylor]: Taking taylor expansion of im in re
0.196 * [backup-simplify]: Simplify im into im
0.196 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.196 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.196 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.196 * [taylor]: Taking taylor expansion of re in re
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
0.197 * [backup-simplify]: Simplify (/ 1 1) into 1
0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.197 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.197 * [taylor]: Taking taylor expansion of im in re
0.197 * [backup-simplify]: Simplify im into im
0.197 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.197 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.197 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.197 * [taylor]: Taking taylor expansion of re in re
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (* 1 1) into 1
0.197 * [backup-simplify]: Simplify (/ 1 1) into 1
0.198 * [backup-simplify]: Simplify (+ 0 1) into 1
0.198 * [taylor]: Taking taylor expansion of 1 in im
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (+ 0 0) into 0
0.199 * [taylor]: Taking taylor expansion of 0 in im
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.200 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.200 * [taylor]: Taking taylor expansion of im in im
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify (* 1 1) into 1
0.200 * [backup-simplify]: Simplify (/ 1 1) into 1
0.200 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [taylor]: Taking taylor expansion of 0 in im
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.205 * [taylor]: Taking taylor expansion of 0 in im
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.206 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.206 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.207 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.207 * [taylor]: Taking taylor expansion of im in im
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (/ 1 1) into 1
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.207 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.207 * [taylor]: Taking taylor expansion of re in im
0.207 * [backup-simplify]: Simplify re into re
0.207 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.207 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.207 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.207 * [taylor]: Taking taylor expansion of im in re
0.207 * [backup-simplify]: Simplify im into im
0.207 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.207 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.207 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.207 * [taylor]: Taking taylor expansion of re in re
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (* 1 1) into 1
0.208 * [backup-simplify]: Simplify (/ 1 1) into 1
0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.208 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.208 * [taylor]: Taking taylor expansion of im in re
0.208 * [backup-simplify]: Simplify im into im
0.208 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.208 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.208 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.208 * [taylor]: Taking taylor expansion of re in re
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (* 1 1) into 1
0.209 * [backup-simplify]: Simplify (/ 1 1) into 1
0.209 * [backup-simplify]: Simplify (+ 0 1) into 1
0.209 * [taylor]: Taking taylor expansion of 1 in im
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.210 * [taylor]: Taking taylor expansion of 0 in im
0.210 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.211 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.211 * [taylor]: Taking taylor expansion of im in im
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (* 1 1) into 1
0.212 * [backup-simplify]: Simplify (/ 1 1) into 1
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [taylor]: Taking taylor expansion of 0 in im
0.213 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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
0.215 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [taylor]: Taking taylor expansion of 0 in im
0.216 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.218 * * * [progress]: simplifying candidates
0.219 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (* re re) (* im im))))
  (log1p (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (expm1 (+ (sqrt (+ (* re re) (* im im))) re))
  (log1p (+ (sqrt (+ (* re re) (* im im))) re))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (expm1 (+ (* re re) (* im im)))
  (log1p (+ (* re re) (* im im)))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
0.219 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (+ (* h0 h0) (* h1 h1))))
 (log1p (sqrt (+ (* h0 h0) (* h1 h1))))
 (log (sqrt (+ (* h0 h0) (* h1 h1))))
 (exp (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))
 (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))
 (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt 1)
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))
 (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))
 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))
 (expm1 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (log1p (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (* (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0))
 (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (exp (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))
 (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (* (* (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))
 (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3))
 (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0)))
 (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0))
 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)
 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)
 (expm1 (+ (* h0 h0) (* h1 h1)))
 (log1p (+ (* h0 h0) (* h1 h1)))
 (* (exp (* h0 h0)) (exp (* h1 h1)))
 (log (+ (* h0 h0) (* h1 h1)))
 (exp (+ (* h0 h0) (* h1 h1)))
 (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))
 (cbrt (+ (* h0 h0) (* h1 h1)))
 (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (sqrt (+ (* h0 h0) (* h1 h1)))
 (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))
 (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))
 (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))
 (- (* h0 h0) (* h1 h1))
 h1
 h0
 (* -1 h0)
 (+ h0 h1)
 (* 2 h0)
 0
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
 (+ (pow h0 2) (pow h1 2))
0.223 * * [simplify]: iteration  0 :  194  enodes  (cost  279 )
0.227 * * [simplify]: iteration  1 :  769  enodes  (cost  246 )
0.239 * * [simplify]: iteration  2 :  2332  enodes  (cost  233 )
0.284 * * [simplify]: iteration  3 :  5002  enodes  (cost  230 )
0.285 * * * [progress]: adding candidates to table
0.462 * * [progress]: iteration 2 / 4
0.462 * * * [progress]: picking best candidate
0.472 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))>
0.472 * * * [progress]: localizing error
0.480 * * * [progress]: generating rewritten candidates
0.480 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 2)
0.486 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2 2)
0.487 * * * [progress]: generating series expansions
0.487 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 2)
0.487 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
0.487 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
0.487 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.487 * [taylor]: Taking taylor expansion of re in im
0.487 * [backup-simplify]: Simplify re into re
0.487 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.487 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.487 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.487 * [taylor]: Taking taylor expansion of (* re re) in im
0.487 * [taylor]: Taking taylor expansion of re in im
0.487 * [backup-simplify]: Simplify re into re
0.487 * [taylor]: Taking taylor expansion of re in im
0.487 * [backup-simplify]: Simplify re into re
0.487 * [taylor]: Taking taylor expansion of (* im im) in im
0.487 * [taylor]: Taking taylor expansion of im in im
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [taylor]: Taking taylor expansion of im in im
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.488 * [backup-simplify]: Simplify (* 0 0) into 0
0.488 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.488 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.488 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.488 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.489 * [backup-simplify]: Simplify (+ 0 0) into 0
0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.489 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.489 * [taylor]: Taking taylor expansion of re in re
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 1 into 1
0.489 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.489 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.489 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.489 * [taylor]: Taking taylor expansion of (* re re) in re
0.489 * [taylor]: Taking taylor expansion of re in re
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 1 into 1
0.489 * [taylor]: Taking taylor expansion of re in re
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 1 into 1
0.489 * [taylor]: Taking taylor expansion of (* im im) in re
0.489 * [taylor]: Taking taylor expansion of im in re
0.489 * [backup-simplify]: Simplify im into im
0.489 * [taylor]: Taking taylor expansion of im in re
0.489 * [backup-simplify]: Simplify im into im
0.489 * [backup-simplify]: Simplify (* 0 0) into 0
0.489 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.490 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.490 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.490 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.490 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.490 * [backup-simplify]: Simplify (+ 0 0) into 0
0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.490 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.490 * [taylor]: Taking taylor expansion of re in re
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.491 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.491 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.491 * [taylor]: Taking taylor expansion of (* re re) in re
0.491 * [taylor]: Taking taylor expansion of re in re
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.491 * [taylor]: Taking taylor expansion of re in re
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.491 * [taylor]: Taking taylor expansion of (* im im) in re
0.491 * [taylor]: Taking taylor expansion of im in re
0.491 * [backup-simplify]: Simplify im into im
0.491 * [taylor]: Taking taylor expansion of im in re
0.491 * [backup-simplify]: Simplify im into im
0.491 * [backup-simplify]: Simplify (* 0 0) into 0
0.491 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.491 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.491 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.492 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.492 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.492 * [backup-simplify]: Simplify (+ 0 im) into im
0.492 * [taylor]: Taking taylor expansion of im in im
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify (+ 1 0) into 1
0.492 * [taylor]: Taking taylor expansion of 1 in im
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.493 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.493 * [backup-simplify]: Simplify (+ 1 0) into 1
0.498 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.498 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.498 * [taylor]: Taking taylor expansion of 1/2 in im
0.498 * [backup-simplify]: Simplify 1/2 into 1/2
0.498 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.498 * [taylor]: Taking taylor expansion of im in im
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.500 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.501 * [taylor]: Taking taylor expansion of 0 in im
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.502 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.502 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.502 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.502 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.503 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.503 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.503 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.503 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.503 * [taylor]: Taking taylor expansion of re in im
0.503 * [backup-simplify]: Simplify re into re
0.503 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.503 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.503 * [taylor]: Taking taylor expansion of re in im
0.503 * [backup-simplify]: Simplify re into re
0.503 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.503 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.503 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.503 * [taylor]: Taking taylor expansion of im in im
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (/ 1 1) into 1
0.503 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.503 * [taylor]: Taking taylor expansion of im in im
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (/ 1 1) into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (+ 0 1) into 1
0.504 * [backup-simplify]: Simplify (sqrt 1) into 1
0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.506 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.506 * [taylor]: Taking taylor expansion of re in im
0.506 * [backup-simplify]: Simplify re into re
0.506 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.506 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.506 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.506 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.506 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.506 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.506 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.506 * [taylor]: Taking taylor expansion of re in re
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (/ 1 1) into 1
0.507 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.507 * [taylor]: Taking taylor expansion of re in re
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (/ 1 1) into 1
0.507 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.507 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.507 * [taylor]: Taking taylor expansion of im in re
0.507 * [backup-simplify]: Simplify im into im
0.507 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.507 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.507 * [taylor]: Taking taylor expansion of im in re
0.507 * [backup-simplify]: Simplify im into im
0.507 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.507 * [backup-simplify]: Simplify (* 1 1) into 1
0.507 * [backup-simplify]: Simplify (+ 1 0) into 1
0.508 * [backup-simplify]: Simplify (sqrt 1) into 1
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.509 * [backup-simplify]: Simplify (+ 0 0) into 0
0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.510 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.510 * [taylor]: Taking taylor expansion of re in re
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 1 into 1
0.510 * [backup-simplify]: Simplify (/ 1 1) into 1
0.510 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.510 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.510 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.510 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.510 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.510 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.510 * [taylor]: Taking taylor expansion of re in re
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 1 into 1
0.510 * [backup-simplify]: Simplify (/ 1 1) into 1
0.510 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.510 * [taylor]: Taking taylor expansion of re in re
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 1 into 1
0.511 * [backup-simplify]: Simplify (/ 1 1) into 1
0.511 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.511 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.511 * [taylor]: Taking taylor expansion of im in re
0.511 * [backup-simplify]: Simplify im into im
0.511 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.511 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.511 * [taylor]: Taking taylor expansion of im in re
0.511 * [backup-simplify]: Simplify im into im
0.511 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.511 * [backup-simplify]: Simplify (* 1 1) into 1
0.511 * [backup-simplify]: Simplify (+ 1 0) into 1
0.512 * [backup-simplify]: Simplify (sqrt 1) into 1
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.513 * [backup-simplify]: Simplify (+ 0 0) into 0
0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.513 * [taylor]: Taking taylor expansion of re in re
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (/ 1 1) into 1
0.514 * [backup-simplify]: Simplify (+ 1 1) into 2
0.514 * [taylor]: Taking taylor expansion of 2 in im
0.514 * [backup-simplify]: Simplify 2 into 2
0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (+ 0 0) into 0
0.515 * [taylor]: Taking taylor expansion of 0 in im
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 2 into 2
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.516 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.517 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.517 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.519 * [taylor]: Taking taylor expansion of 1/2 in im
0.519 * [backup-simplify]: Simplify 1/2 into 1/2
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.519 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.519 * [taylor]: Taking taylor expansion of im in im
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (* 1 1) into 1
0.519 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.522 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.522 * [backup-simplify]: Simplify (+ 0 0) into 0
0.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (+ 0 0) into 0
0.524 * [taylor]: Taking taylor expansion of 0 in im
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.525 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.525 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.526 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.526 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.526 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.526 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.526 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.526 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.526 * [taylor]: Taking taylor expansion of -1 in im
0.526 * [backup-simplify]: Simplify -1 into -1
0.526 * [taylor]: Taking taylor expansion of re in im
0.526 * [backup-simplify]: Simplify re into re
0.526 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.526 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.526 * [taylor]: Taking taylor expansion of -1 in im
0.526 * [backup-simplify]: Simplify -1 into -1
0.526 * [taylor]: Taking taylor expansion of re in im
0.526 * [backup-simplify]: Simplify re into re
0.526 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.526 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.526 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.526 * [taylor]: Taking taylor expansion of -1 in im
0.526 * [backup-simplify]: Simplify -1 into -1
0.526 * [taylor]: Taking taylor expansion of im in im
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (/ -1 1) into -1
0.526 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.526 * [taylor]: Taking taylor expansion of -1 in im
0.526 * [backup-simplify]: Simplify -1 into -1
0.526 * [taylor]: Taking taylor expansion of im in im
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.527 * [backup-simplify]: Simplify (/ -1 1) into -1
0.527 * [backup-simplify]: Simplify (* -1 -1) into 1
0.527 * [backup-simplify]: Simplify (+ 0 1) into 1
0.527 * [backup-simplify]: Simplify (sqrt 1) into 1
0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.529 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.529 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.529 * [taylor]: Taking taylor expansion of re in im
0.529 * [backup-simplify]: Simplify re into re
0.529 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.529 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.529 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.529 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.530 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.530 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.530 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.530 * [taylor]: Taking taylor expansion of -1 in re
0.530 * [backup-simplify]: Simplify -1 into -1
0.530 * [taylor]: Taking taylor expansion of re in re
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (/ -1 1) into -1
0.530 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.530 * [taylor]: Taking taylor expansion of -1 in re
0.530 * [backup-simplify]: Simplify -1 into -1
0.530 * [taylor]: Taking taylor expansion of re in re
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (/ -1 1) into -1
0.530 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.530 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.530 * [taylor]: Taking taylor expansion of -1 in re
0.530 * [backup-simplify]: Simplify -1 into -1
0.530 * [taylor]: Taking taylor expansion of im in re
0.530 * [backup-simplify]: Simplify im into im
0.530 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.530 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.530 * [taylor]: Taking taylor expansion of -1 in re
0.530 * [backup-simplify]: Simplify -1 into -1
0.530 * [taylor]: Taking taylor expansion of im in re
0.530 * [backup-simplify]: Simplify im into im
0.530 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.531 * [backup-simplify]: Simplify (* -1 -1) into 1
0.531 * [backup-simplify]: Simplify (+ 1 0) into 1
0.531 * [backup-simplify]: Simplify (sqrt 1) into 1
0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.533 * [backup-simplify]: Simplify (+ 0 0) into 0
0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.533 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.533 * [taylor]: Taking taylor expansion of re in re
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.533 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.534 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.534 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.534 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.534 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.534 * [taylor]: Taking taylor expansion of -1 in re
0.534 * [backup-simplify]: Simplify -1 into -1
0.534 * [taylor]: Taking taylor expansion of re in re
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (/ -1 1) into -1
0.534 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.534 * [taylor]: Taking taylor expansion of -1 in re
0.534 * [backup-simplify]: Simplify -1 into -1
0.534 * [taylor]: Taking taylor expansion of re in re
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (/ -1 1) into -1
0.534 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.534 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.534 * [taylor]: Taking taylor expansion of -1 in re
0.534 * [backup-simplify]: Simplify -1 into -1
0.534 * [taylor]: Taking taylor expansion of im in re
0.534 * [backup-simplify]: Simplify im into im
0.534 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.534 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.534 * [taylor]: Taking taylor expansion of -1 in re
0.534 * [backup-simplify]: Simplify -1 into -1
0.534 * [taylor]: Taking taylor expansion of im in re
0.534 * [backup-simplify]: Simplify im into im
0.534 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.535 * [backup-simplify]: Simplify (* -1 -1) into 1
0.535 * [backup-simplify]: Simplify (+ 1 0) into 1
0.535 * [backup-simplify]: Simplify (sqrt 1) into 1
0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.537 * [backup-simplify]: Simplify (+ 0 0) into 0
0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.537 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.537 * [taylor]: Taking taylor expansion of re in re
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (/ 1 1) into 1
0.538 * [backup-simplify]: Simplify (- 1) into -1
0.538 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.538 * [taylor]: Taking taylor expansion of 0 in im
0.538 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (- 0) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.539 * [taylor]: Taking taylor expansion of 0 in im
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.541 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.541 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.542 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (- 0) into 0
0.543 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.543 * [taylor]: Taking taylor expansion of 1/2 in im
0.543 * [backup-simplify]: Simplify 1/2 into 1/2
0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.543 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.543 * [taylor]: Taking taylor expansion of im in im
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.543 * [backup-simplify]: Simplify (* 1 1) into 1
0.543 * [backup-simplify]: Simplify (/ 1 1) into 1
0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.546 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.546 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.546 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.546 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.547 * [backup-simplify]: Simplify (+ 0 0) into 0
0.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (- 0) into 0
0.548 * [backup-simplify]: Simplify (+ 0 0) into 0
0.548 * [taylor]: Taking taylor expansion of 0 in im
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.550 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 2 2)
0.550 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.550 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.550 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.550 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.550 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.550 * [taylor]: Taking taylor expansion of (* re re) in im
0.550 * [taylor]: Taking taylor expansion of re in im
0.550 * [backup-simplify]: Simplify re into re
0.550 * [taylor]: Taking taylor expansion of re in im
0.550 * [backup-simplify]: Simplify re into re
0.550 * [taylor]: Taking taylor expansion of (* im im) in im
0.550 * [taylor]: Taking taylor expansion of im in im
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 1 into 1
0.550 * [taylor]: Taking taylor expansion of im in im
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 1 into 1
0.550 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.550 * [backup-simplify]: Simplify (* 0 0) into 0
0.550 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.550 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.550 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.551 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.551 * [backup-simplify]: Simplify (+ 0 0) into 0
0.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.551 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.551 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.551 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.551 * [taylor]: Taking taylor expansion of (* re re) in re
0.551 * [taylor]: Taking taylor expansion of re in re
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 1 into 1
0.551 * [taylor]: Taking taylor expansion of re in re
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 1 into 1
0.551 * [taylor]: Taking taylor expansion of (* im im) in re
0.551 * [taylor]: Taking taylor expansion of im in re
0.551 * [backup-simplify]: Simplify im into im
0.551 * [taylor]: Taking taylor expansion of im in re
0.551 * [backup-simplify]: Simplify im into im
0.552 * [backup-simplify]: Simplify (* 0 0) into 0
0.552 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.552 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.552 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.552 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.552 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.553 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.553 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.553 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.553 * [taylor]: Taking taylor expansion of (* re re) in re
0.553 * [taylor]: Taking taylor expansion of re in re
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [taylor]: Taking taylor expansion of re in re
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [taylor]: Taking taylor expansion of (* im im) in re
0.553 * [taylor]: Taking taylor expansion of im in re
0.553 * [backup-simplify]: Simplify im into im
0.553 * [taylor]: Taking taylor expansion of im in re
0.553 * [backup-simplify]: Simplify im into im
0.553 * [backup-simplify]: Simplify (* 0 0) into 0
0.553 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.553 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.553 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.554 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.554 * [backup-simplify]: Simplify (+ 0 0) into 0
0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.554 * [taylor]: Taking taylor expansion of im in im
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [taylor]: Taking taylor expansion of 0 in im
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.555 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.555 * [backup-simplify]: Simplify (+ 1 0) into 1
0.556 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.556 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.556 * [taylor]: Taking taylor expansion of 1/2 in im
0.556 * [backup-simplify]: Simplify 1/2 into 1/2
0.556 * [taylor]: Taking taylor expansion of im in im
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 1 into 1
0.556 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.558 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.558 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.558 * [taylor]: Taking taylor expansion of 0 in im
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.559 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.559 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.559 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.559 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.559 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.559 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.559 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.559 * [taylor]: Taking taylor expansion of re in im
0.559 * [backup-simplify]: Simplify re into re
0.559 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.559 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.559 * [taylor]: Taking taylor expansion of re in im
0.559 * [backup-simplify]: Simplify re into re
0.559 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.559 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.559 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.559 * [taylor]: Taking taylor expansion of im in im
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 1 into 1
0.559 * [backup-simplify]: Simplify (/ 1 1) into 1
0.559 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.560 * [taylor]: Taking taylor expansion of im in im
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.560 * [backup-simplify]: Simplify (/ 1 1) into 1
0.560 * [backup-simplify]: Simplify (* 1 1) into 1
0.560 * [backup-simplify]: Simplify (+ 0 1) into 1
0.560 * [backup-simplify]: Simplify (sqrt 1) into 1
0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.562 * [backup-simplify]: Simplify (+ 0 0) into 0
0.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.562 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.562 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.562 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.562 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.562 * [taylor]: Taking taylor expansion of re in re
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (/ 1 1) into 1
0.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.563 * [taylor]: Taking taylor expansion of re in re
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (/ 1 1) into 1
0.563 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.563 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.563 * [taylor]: Taking taylor expansion of im in re
0.563 * [backup-simplify]: Simplify im into im
0.563 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.563 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.563 * [taylor]: Taking taylor expansion of im in re
0.563 * [backup-simplify]: Simplify im into im
0.563 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.563 * [backup-simplify]: Simplify (* 1 1) into 1
0.564 * [backup-simplify]: Simplify (+ 1 0) into 1
0.564 * [backup-simplify]: Simplify (sqrt 1) into 1
0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.565 * [backup-simplify]: Simplify (+ 0 0) into 0
0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.566 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.566 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.566 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.566 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.566 * [taylor]: Taking taylor expansion of re in re
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 1 into 1
0.566 * [backup-simplify]: Simplify (/ 1 1) into 1
0.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.566 * [taylor]: Taking taylor expansion of re in re
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 1 into 1
0.566 * [backup-simplify]: Simplify (/ 1 1) into 1
0.566 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.567 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.567 * [taylor]: Taking taylor expansion of im in re
0.567 * [backup-simplify]: Simplify im into im
0.567 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.567 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.567 * [taylor]: Taking taylor expansion of im in re
0.567 * [backup-simplify]: Simplify im into im
0.567 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.567 * [backup-simplify]: Simplify (* 1 1) into 1
0.567 * [backup-simplify]: Simplify (+ 1 0) into 1
0.567 * [backup-simplify]: Simplify (sqrt 1) into 1
0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.569 * [backup-simplify]: Simplify (+ 0 0) into 0
0.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.569 * [taylor]: Taking taylor expansion of 1 in im
0.569 * [backup-simplify]: Simplify 1 into 1
0.569 * [taylor]: Taking taylor expansion of 0 in im
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 1 into 1
0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.571 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.571 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.572 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.572 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.572 * [taylor]: Taking taylor expansion of 1/2 in im
0.572 * [backup-simplify]: Simplify 1/2 into 1/2
0.572 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.572 * [taylor]: Taking taylor expansion of im in im
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (* 1 1) into 1
0.572 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.575 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.575 * [backup-simplify]: Simplify (+ 0 0) into 0
0.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.576 * [taylor]: Taking taylor expansion of 0 in im
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.577 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.577 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.577 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.577 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.577 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.577 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.577 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.577 * [taylor]: Taking taylor expansion of -1 in im
0.577 * [backup-simplify]: Simplify -1 into -1
0.577 * [taylor]: Taking taylor expansion of re in im
0.577 * [backup-simplify]: Simplify re into re
0.577 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.577 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.577 * [taylor]: Taking taylor expansion of -1 in im
0.577 * [backup-simplify]: Simplify -1 into -1
0.577 * [taylor]: Taking taylor expansion of re in im
0.578 * [backup-simplify]: Simplify re into re
0.578 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.578 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.578 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.578 * [taylor]: Taking taylor expansion of -1 in im
0.578 * [backup-simplify]: Simplify -1 into -1
0.578 * [taylor]: Taking taylor expansion of im in im
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (/ -1 1) into -1
0.578 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.578 * [taylor]: Taking taylor expansion of -1 in im
0.578 * [backup-simplify]: Simplify -1 into -1
0.578 * [taylor]: Taking taylor expansion of im in im
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (/ -1 1) into -1
0.578 * [backup-simplify]: Simplify (* -1 -1) into 1
0.579 * [backup-simplify]: Simplify (+ 0 1) into 1
0.579 * [backup-simplify]: Simplify (sqrt 1) into 1
0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.580 * [backup-simplify]: Simplify (+ 0 0) into 0
0.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.581 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.581 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.581 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.581 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.581 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.581 * [taylor]: Taking taylor expansion of -1 in re
0.581 * [backup-simplify]: Simplify -1 into -1
0.581 * [taylor]: Taking taylor expansion of re in re
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 1 into 1
0.581 * [backup-simplify]: Simplify (/ -1 1) into -1
0.581 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.581 * [taylor]: Taking taylor expansion of -1 in re
0.581 * [backup-simplify]: Simplify -1 into -1
0.581 * [taylor]: Taking taylor expansion of re in re
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 1 into 1
0.582 * [backup-simplify]: Simplify (/ -1 1) into -1
0.582 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.582 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.582 * [taylor]: Taking taylor expansion of -1 in re
0.582 * [backup-simplify]: Simplify -1 into -1
0.582 * [taylor]: Taking taylor expansion of im in re
0.582 * [backup-simplify]: Simplify im into im
0.582 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.582 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.582 * [taylor]: Taking taylor expansion of -1 in re
0.582 * [backup-simplify]: Simplify -1 into -1
0.582 * [taylor]: Taking taylor expansion of im in re
0.582 * [backup-simplify]: Simplify im into im
0.582 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.582 * [backup-simplify]: Simplify (* -1 -1) into 1
0.582 * [backup-simplify]: Simplify (+ 1 0) into 1
0.583 * [backup-simplify]: Simplify (sqrt 1) into 1
0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.584 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.584 * [backup-simplify]: Simplify (+ 0 0) into 0
0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.585 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.585 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.585 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.585 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.585 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.585 * [taylor]: Taking taylor expansion of -1 in re
0.585 * [backup-simplify]: Simplify -1 into -1
0.585 * [taylor]: Taking taylor expansion of re in re
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 1 into 1
0.585 * [backup-simplify]: Simplify (/ -1 1) into -1
0.585 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.585 * [taylor]: Taking taylor expansion of -1 in re
0.585 * [backup-simplify]: Simplify -1 into -1
0.585 * [taylor]: Taking taylor expansion of re in re
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 1 into 1
0.586 * [backup-simplify]: Simplify (/ -1 1) into -1
0.586 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.586 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.586 * [taylor]: Taking taylor expansion of -1 in re
0.586 * [backup-simplify]: Simplify -1 into -1
0.586 * [taylor]: Taking taylor expansion of im in re
0.586 * [backup-simplify]: Simplify im into im
0.586 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.586 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.586 * [taylor]: Taking taylor expansion of -1 in re
0.586 * [backup-simplify]: Simplify -1 into -1
0.586 * [taylor]: Taking taylor expansion of im in re
0.586 * [backup-simplify]: Simplify im into im
0.586 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.586 * [backup-simplify]: Simplify (* -1 -1) into 1
0.586 * [backup-simplify]: Simplify (+ 1 0) into 1
0.587 * [backup-simplify]: Simplify (sqrt 1) into 1
0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.588 * [backup-simplify]: Simplify (+ 0 0) into 0
0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.589 * [taylor]: Taking taylor expansion of 1 in im
0.589 * [backup-simplify]: Simplify 1 into 1
0.589 * [taylor]: Taking taylor expansion of 0 in im
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 1 into 1
0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.590 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.590 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.591 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.591 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.591 * [taylor]: Taking taylor expansion of 1/2 in im
0.591 * [backup-simplify]: Simplify 1/2 into 1/2
0.591 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.591 * [taylor]: Taking taylor expansion of im in im
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 1 into 1
0.592 * [backup-simplify]: Simplify (* 1 1) into 1
0.592 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.598 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.600 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.600 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.600 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.601 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.601 * [backup-simplify]: Simplify (+ 0 0) into 0
0.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.601 * [taylor]: Taking taylor expansion of 0 in im
0.601 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.603 * * * [progress]: simplifying candidates
0.603 * [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)
0.603 * [simplify]: Sending expressions to egg_math:
 (expm1 (+ h0 (hypot h0 h1)))
 (log1p (+ h0 (hypot h0 h1)))
 (* (exp h0) (exp (hypot h0 h1)))
 (log (+ h0 (hypot h0 h1)))
 (exp (+ h0 (hypot h0 h1)))
 (* (cbrt (+ h0 (hypot h0 h1))) (cbrt (+ h0 (hypot h0 h1))))
 (cbrt (+ h0 (hypot h0 h1)))
 (* (* (+ h0 (hypot h0 h1)) (+ h0 (hypot h0 h1))) (+ h0 (hypot h0 h1)))
 (sqrt (+ h0 (hypot h0 h1)))
 (sqrt (+ h0 (hypot h0 h1)))
 (+ (pow h0 3) (pow (hypot h0 h1) 3))
 (+ (* h0 h0) (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 (hypot h0 h1))))
 (- (* h0 h0) (* (hypot h0 h1) (hypot h0 h1)))
 (- h0 (hypot h0 h1))
 (+ h0 (hypot h0 h1))
 (expm1 (hypot h0 h1))
 (log1p (hypot h0 h1))
 (+ (* h0 h0) (* h1 h1))
 (log (hypot h0 h1))
 (exp (hypot h0 h1))
 (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))
 (cbrt (hypot h0 h1))
 (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1))
 (sqrt (hypot h0 h1))
 (sqrt (hypot h0 h1))
 (+ h0 h1)
 (* 2 h0)
 0
 h1
 h0
 (* -1 h0)
0.606 * * [simplify]: iteration  0 :  88  enodes  (cost  84 )
0.609 * * [simplify]: iteration  1 :  176  enodes  (cost  78 )
0.612 * * [simplify]: iteration  2 :  370  enodes  (cost  78 )
0.618 * * [simplify]: iteration  3 :  1004  enodes  (cost  78 )
0.635 * * [simplify]: iteration  4 :  3138  enodes  (cost  78 )
0.674 * * [simplify]: iteration  5 :  5001  enodes  (cost  78 )
0.675 * * * [progress]: adding candidates to table
0.764 * * [progress]: iteration 3 / 4
0.765 * * * [progress]: picking best candidate
0.776 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))>
0.777 * * * [progress]: localizing error
0.792 * * * [progress]: generating rewritten candidates
0.792 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2)
0.798 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 2)
0.811 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2 2 1)
0.811 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1 1)
0.814 * * * [progress]: generating series expansions
0.814 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2)
0.814 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) into (+ re (hypot re im))
0.814 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
0.814 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.815 * [taylor]: Taking taylor expansion of re in im
0.815 * [backup-simplify]: Simplify re into re
0.815 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.815 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.815 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.815 * [taylor]: Taking taylor expansion of (* re re) in im
0.815 * [taylor]: Taking taylor expansion of re in im
0.815 * [backup-simplify]: Simplify re into re
0.815 * [taylor]: Taking taylor expansion of re in im
0.815 * [backup-simplify]: Simplify re into re
0.815 * [taylor]: Taking taylor expansion of (* im im) in im
0.815 * [taylor]: Taking taylor expansion of im in im
0.815 * [backup-simplify]: Simplify 0 into 0
0.815 * [backup-simplify]: Simplify 1 into 1
0.815 * [taylor]: Taking taylor expansion of im in im
0.815 * [backup-simplify]: Simplify 0 into 0
0.815 * [backup-simplify]: Simplify 1 into 1
0.815 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.815 * [backup-simplify]: Simplify (* 0 0) into 0
0.816 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.816 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.816 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.816 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.816 * [backup-simplify]: Simplify (+ 0 0) into 0
0.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.816 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.816 * [taylor]: Taking taylor expansion of re in re
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 1 into 1
0.817 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.817 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.817 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.817 * [taylor]: Taking taylor expansion of (* re re) in re
0.817 * [taylor]: Taking taylor expansion of re in re
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 1 into 1
0.817 * [taylor]: Taking taylor expansion of re in re
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 1 into 1
0.817 * [taylor]: Taking taylor expansion of (* im im) in re
0.817 * [taylor]: Taking taylor expansion of im in re
0.817 * [backup-simplify]: Simplify im into im
0.817 * [taylor]: Taking taylor expansion of im in re
0.817 * [backup-simplify]: Simplify im into im
0.817 * [backup-simplify]: Simplify (* 0 0) into 0
0.817 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.817 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.817 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.818 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.818 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.818 * [backup-simplify]: Simplify (+ 0 0) into 0
0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.818 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.818 * [taylor]: Taking taylor expansion of re in re
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 1 into 1
0.818 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.818 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.818 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.818 * [taylor]: Taking taylor expansion of (* re re) in re
0.818 * [taylor]: Taking taylor expansion of re in re
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 1 into 1
0.818 * [taylor]: Taking taylor expansion of re in re
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 1 into 1
0.818 * [taylor]: Taking taylor expansion of (* im im) in re
0.818 * [taylor]: Taking taylor expansion of im in re
0.818 * [backup-simplify]: Simplify im into im
0.818 * [taylor]: Taking taylor expansion of im in re
0.818 * [backup-simplify]: Simplify im into im
0.819 * [backup-simplify]: Simplify (* 0 0) into 0
0.819 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.819 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.819 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.819 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.819 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.820 * [backup-simplify]: Simplify (+ 0 0) into 0
0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.820 * [backup-simplify]: Simplify (+ 0 im) into im
0.820 * [taylor]: Taking taylor expansion of im in im
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 1 into 1
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify (+ 1 0) into 1
0.820 * [taylor]: Taking taylor expansion of 1 in im
0.820 * [backup-simplify]: Simplify 1 into 1
0.820 * [backup-simplify]: Simplify 1 into 1
0.820 * [backup-simplify]: Simplify 1 into 1
0.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.821 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.821 * [backup-simplify]: Simplify (+ 1 0) into 1
0.822 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.822 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.822 * [taylor]: Taking taylor expansion of 1/2 in im
0.822 * [backup-simplify]: Simplify 1/2 into 1/2
0.822 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.822 * [taylor]: Taking taylor expansion of im in im
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 1 into 1
0.822 * [backup-simplify]: Simplify (/ 1 1) into 1
0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.823 * [backup-simplify]: Simplify 0 into 0
0.823 * [backup-simplify]: Simplify 0 into 0
0.823 * [backup-simplify]: Simplify 0 into 0
0.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.824 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.824 * [backup-simplify]: Simplify (+ 0 0) into 0
0.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.825 * [backup-simplify]: Simplify (+ 0 0) into 0
0.825 * [taylor]: Taking taylor expansion of 0 in im
0.825 * [backup-simplify]: Simplify 0 into 0
0.825 * [backup-simplify]: Simplify 0 into 0
0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.826 * [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))
0.826 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.826 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.826 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.826 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.826 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.826 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.826 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.826 * [taylor]: Taking taylor expansion of re in im
0.826 * [backup-simplify]: Simplify re into re
0.826 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.826 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.826 * [taylor]: Taking taylor expansion of re in im
0.826 * [backup-simplify]: Simplify re into re
0.826 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.826 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.826 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.826 * [taylor]: Taking taylor expansion of im in im
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify 1 into 1
0.827 * [backup-simplify]: Simplify (/ 1 1) into 1
0.827 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.827 * [taylor]: Taking taylor expansion of im in im
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 1 into 1
0.827 * [backup-simplify]: Simplify (/ 1 1) into 1
0.827 * [backup-simplify]: Simplify (* 1 1) into 1
0.827 * [backup-simplify]: Simplify (+ 0 1) into 1
0.828 * [backup-simplify]: Simplify (sqrt 1) into 1
0.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.829 * [backup-simplify]: Simplify (+ 0 0) into 0
0.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.830 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.830 * [taylor]: Taking taylor expansion of re in im
0.830 * [backup-simplify]: Simplify re into re
0.830 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.830 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.830 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.830 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.830 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.830 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.830 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.830 * [taylor]: Taking taylor expansion of re in re
0.830 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify 1 into 1
0.830 * [backup-simplify]: Simplify (/ 1 1) into 1
0.830 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.830 * [taylor]: Taking taylor expansion of re in re
0.830 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify 1 into 1
0.830 * [backup-simplify]: Simplify (/ 1 1) into 1
0.830 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.830 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.830 * [taylor]: Taking taylor expansion of im in re
0.830 * [backup-simplify]: Simplify im into im
0.831 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.831 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.831 * [taylor]: Taking taylor expansion of im in re
0.831 * [backup-simplify]: Simplify im into im
0.831 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.831 * [backup-simplify]: Simplify (* 1 1) into 1
0.831 * [backup-simplify]: Simplify (+ 1 0) into 1
0.831 * [backup-simplify]: Simplify (sqrt 1) into 1
0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.833 * [backup-simplify]: Simplify (+ 0 0) into 0
0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.833 * [taylor]: Taking taylor expansion of re in re
0.833 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify 1 into 1
0.833 * [backup-simplify]: Simplify (/ 1 1) into 1
0.833 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.834 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.834 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.834 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.834 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.834 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.834 * [taylor]: Taking taylor expansion of re in re
0.834 * [backup-simplify]: Simplify 0 into 0
0.834 * [backup-simplify]: Simplify 1 into 1
0.834 * [backup-simplify]: Simplify (/ 1 1) into 1
0.834 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.834 * [taylor]: Taking taylor expansion of re in re
0.834 * [backup-simplify]: Simplify 0 into 0
0.834 * [backup-simplify]: Simplify 1 into 1
0.834 * [backup-simplify]: Simplify (/ 1 1) into 1
0.834 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.834 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.834 * [taylor]: Taking taylor expansion of im in re
0.834 * [backup-simplify]: Simplify im into im
0.834 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.834 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.834 * [taylor]: Taking taylor expansion of im in re
0.834 * [backup-simplify]: Simplify im into im
0.834 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.835 * [backup-simplify]: Simplify (* 1 1) into 1
0.835 * [backup-simplify]: Simplify (+ 1 0) into 1
0.835 * [backup-simplify]: Simplify (sqrt 1) into 1
0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.837 * [backup-simplify]: Simplify (+ 0 0) into 0
0.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.837 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.837 * [taylor]: Taking taylor expansion of re in re
0.837 * [backup-simplify]: Simplify 0 into 0
0.837 * [backup-simplify]: Simplify 1 into 1
0.837 * [backup-simplify]: Simplify (/ 1 1) into 1
0.838 * [backup-simplify]: Simplify (+ 1 1) into 2
0.838 * [taylor]: Taking taylor expansion of 2 in im
0.838 * [backup-simplify]: Simplify 2 into 2
0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.838 * [backup-simplify]: Simplify (+ 0 0) into 0
0.838 * [taylor]: Taking taylor expansion of 0 in im
0.838 * [backup-simplify]: Simplify 0 into 0
0.838 * [backup-simplify]: Simplify 2 into 2
0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.840 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.840 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.841 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.841 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.841 * [taylor]: Taking taylor expansion of 1/2 in im
0.842 * [backup-simplify]: Simplify 1/2 into 1/2
0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.842 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.842 * [taylor]: Taking taylor expansion of im in im
0.842 * [backup-simplify]: Simplify 0 into 0
0.842 * [backup-simplify]: Simplify 1 into 1
0.842 * [backup-simplify]: Simplify (* 1 1) into 1
0.842 * [backup-simplify]: Simplify (/ 1 1) into 1
0.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.843 * [backup-simplify]: Simplify 0 into 0
0.843 * [backup-simplify]: Simplify 0 into 0
0.843 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.845 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.846 * [backup-simplify]: Simplify (+ 0 0) into 0
0.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.847 * [backup-simplify]: Simplify (+ 0 0) into 0
0.847 * [taylor]: Taking taylor expansion of 0 in im
0.847 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.849 * [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))
0.849 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.849 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.849 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.849 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.849 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.849 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.849 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.849 * [taylor]: Taking taylor expansion of -1 in im
0.849 * [backup-simplify]: Simplify -1 into -1
0.849 * [taylor]: Taking taylor expansion of re in im
0.849 * [backup-simplify]: Simplify re into re
0.849 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.849 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.849 * [taylor]: Taking taylor expansion of -1 in im
0.849 * [backup-simplify]: Simplify -1 into -1
0.849 * [taylor]: Taking taylor expansion of re in im
0.849 * [backup-simplify]: Simplify re into re
0.849 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.849 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.849 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.849 * [taylor]: Taking taylor expansion of -1 in im
0.849 * [backup-simplify]: Simplify -1 into -1
0.849 * [taylor]: Taking taylor expansion of im in im
0.849 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify 1 into 1
0.849 * [backup-simplify]: Simplify (/ -1 1) into -1
0.849 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.849 * [taylor]: Taking taylor expansion of -1 in im
0.849 * [backup-simplify]: Simplify -1 into -1
0.849 * [taylor]: Taking taylor expansion of im in im
0.849 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify 1 into 1
0.850 * [backup-simplify]: Simplify (/ -1 1) into -1
0.850 * [backup-simplify]: Simplify (* -1 -1) into 1
0.850 * [backup-simplify]: Simplify (+ 0 1) into 1
0.850 * [backup-simplify]: Simplify (sqrt 1) into 1
0.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.852 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.852 * [backup-simplify]: Simplify (+ 0 0) into 0
0.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.852 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.852 * [taylor]: Taking taylor expansion of re in im
0.852 * [backup-simplify]: Simplify re into re
0.852 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.852 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.852 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.853 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.853 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.853 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.853 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.853 * [taylor]: Taking taylor expansion of -1 in re
0.853 * [backup-simplify]: Simplify -1 into -1
0.853 * [taylor]: Taking taylor expansion of re in re
0.853 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify 1 into 1
0.853 * [backup-simplify]: Simplify (/ -1 1) into -1
0.853 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.853 * [taylor]: Taking taylor expansion of -1 in re
0.853 * [backup-simplify]: Simplify -1 into -1
0.853 * [taylor]: Taking taylor expansion of re in re
0.853 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify 1 into 1
0.853 * [backup-simplify]: Simplify (/ -1 1) into -1
0.853 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.853 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.853 * [taylor]: Taking taylor expansion of -1 in re
0.853 * [backup-simplify]: Simplify -1 into -1
0.853 * [taylor]: Taking taylor expansion of im in re
0.853 * [backup-simplify]: Simplify im into im
0.853 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.853 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.853 * [taylor]: Taking taylor expansion of -1 in re
0.854 * [backup-simplify]: Simplify -1 into -1
0.854 * [taylor]: Taking taylor expansion of im in re
0.854 * [backup-simplify]: Simplify im into im
0.854 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.854 * [backup-simplify]: Simplify (* -1 -1) into 1
0.854 * [backup-simplify]: Simplify (+ 1 0) into 1
0.854 * [backup-simplify]: Simplify (sqrt 1) into 1
0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.856 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.856 * [backup-simplify]: Simplify (+ 0 0) into 0
0.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.856 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.856 * [taylor]: Taking taylor expansion of re in re
0.856 * [backup-simplify]: Simplify 0 into 0
0.856 * [backup-simplify]: Simplify 1 into 1
0.856 * [backup-simplify]: Simplify (/ 1 1) into 1
0.856 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.857 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.857 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.857 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.857 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.857 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.857 * [taylor]: Taking taylor expansion of -1 in re
0.857 * [backup-simplify]: Simplify -1 into -1
0.857 * [taylor]: Taking taylor expansion of re in re
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 1 into 1
0.857 * [backup-simplify]: Simplify (/ -1 1) into -1
0.857 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.857 * [taylor]: Taking taylor expansion of -1 in re
0.857 * [backup-simplify]: Simplify -1 into -1
0.857 * [taylor]: Taking taylor expansion of re in re
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 1 into 1
0.857 * [backup-simplify]: Simplify (/ -1 1) into -1
0.857 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.857 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.857 * [taylor]: Taking taylor expansion of -1 in re
0.857 * [backup-simplify]: Simplify -1 into -1
0.857 * [taylor]: Taking taylor expansion of im in re
0.857 * [backup-simplify]: Simplify im into im
0.857 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.858 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.858 * [taylor]: Taking taylor expansion of -1 in re
0.858 * [backup-simplify]: Simplify -1 into -1
0.858 * [taylor]: Taking taylor expansion of im in re
0.858 * [backup-simplify]: Simplify im into im
0.858 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.858 * [backup-simplify]: Simplify (* -1 -1) into 1
0.858 * [backup-simplify]: Simplify (+ 1 0) into 1
0.858 * [backup-simplify]: Simplify (sqrt 1) into 1
0.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.860 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.860 * [backup-simplify]: Simplify (+ 0 0) into 0
0.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.860 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.860 * [taylor]: Taking taylor expansion of re in re
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify 1 into 1
0.861 * [backup-simplify]: Simplify (/ 1 1) into 1
0.861 * [backup-simplify]: Simplify (- 1) into -1
0.861 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.861 * [taylor]: Taking taylor expansion of 0 in im
0.861 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.862 * [backup-simplify]: Simplify (- 0) into 0
0.862 * [backup-simplify]: Simplify (+ 0 0) into 0
0.862 * [taylor]: Taking taylor expansion of 0 in im
0.862 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.864 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.864 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.864 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.865 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.865 * [backup-simplify]: Simplify (- 0) into 0
0.865 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.865 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.865 * [taylor]: Taking taylor expansion of 1/2 in im
0.865 * [backup-simplify]: Simplify 1/2 into 1/2
0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.866 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.866 * [taylor]: Taking taylor expansion of im in im
0.866 * [backup-simplify]: Simplify 0 into 0
0.866 * [backup-simplify]: Simplify 1 into 1
0.866 * [backup-simplify]: Simplify (* 1 1) into 1
0.866 * [backup-simplify]: Simplify (/ 1 1) into 1
0.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 0 into 0
0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.869 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.869 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.869 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.869 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.869 * [backup-simplify]: Simplify (+ 0 0) into 0
0.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.871 * [backup-simplify]: Simplify (- 0) into 0
0.871 * [backup-simplify]: Simplify (+ 0 0) into 0
0.871 * [taylor]: Taking taylor expansion of 0 in im
0.871 * [backup-simplify]: Simplify 0 into 0
0.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 2)
0.878 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
0.879 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.879 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.879 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.879 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.879 * [taylor]: Taking taylor expansion of (* re re) in im
0.879 * [taylor]: Taking taylor expansion of re in im
0.879 * [backup-simplify]: Simplify re into re
0.879 * [taylor]: Taking taylor expansion of re in im
0.879 * [backup-simplify]: Simplify re into re
0.879 * [taylor]: Taking taylor expansion of (* im im) in im
0.879 * [taylor]: Taking taylor expansion of im in im
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 1 into 1
0.879 * [taylor]: Taking taylor expansion of im in im
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 1 into 1
0.879 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.879 * [backup-simplify]: Simplify (* 0 0) into 0
0.880 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.880 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.880 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.880 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.880 * [backup-simplify]: Simplify (+ 0 0) into 0
0.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.880 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.881 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.881 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.881 * [taylor]: Taking taylor expansion of (* re re) in re
0.881 * [taylor]: Taking taylor expansion of re in re
0.881 * [backup-simplify]: Simplify 0 into 0
0.881 * [backup-simplify]: Simplify 1 into 1
0.881 * [taylor]: Taking taylor expansion of re in re
0.881 * [backup-simplify]: Simplify 0 into 0
0.881 * [backup-simplify]: Simplify 1 into 1
0.881 * [taylor]: Taking taylor expansion of (* im im) in re
0.881 * [taylor]: Taking taylor expansion of im in re
0.881 * [backup-simplify]: Simplify im into im
0.881 * [taylor]: Taking taylor expansion of im in re
0.881 * [backup-simplify]: Simplify im into im
0.881 * [backup-simplify]: Simplify (* 0 0) into 0
0.881 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.881 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.881 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.882 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.882 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.882 * [backup-simplify]: Simplify (+ 0 0) into 0
0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.882 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.882 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.882 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.882 * [taylor]: Taking taylor expansion of (* re re) in re
0.882 * [taylor]: Taking taylor expansion of re in re
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 1 into 1
0.882 * [taylor]: Taking taylor expansion of re in re
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 1 into 1
0.882 * [taylor]: Taking taylor expansion of (* im im) in re
0.882 * [taylor]: Taking taylor expansion of im in re
0.882 * [backup-simplify]: Simplify im into im
0.882 * [taylor]: Taking taylor expansion of im in re
0.882 * [backup-simplify]: Simplify im into im
0.882 * [backup-simplify]: Simplify (* 0 0) into 0
0.883 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.883 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.883 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.883 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.883 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.883 * [backup-simplify]: Simplify (+ 0 0) into 0
0.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.884 * [taylor]: Taking taylor expansion of im in im
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify 1 into 1
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [taylor]: Taking taylor expansion of 0 in im
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify 1 into 1
0.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.884 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.885 * [backup-simplify]: Simplify (+ 1 0) into 1
0.885 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.885 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.885 * [taylor]: Taking taylor expansion of 1/2 in im
0.885 * [backup-simplify]: Simplify 1/2 into 1/2
0.885 * [taylor]: Taking taylor expansion of im in im
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 1 into 1
0.886 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.887 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.887 * [backup-simplify]: Simplify (+ 0 0) into 0
0.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.887 * [taylor]: Taking taylor expansion of 0 in im
0.887 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.888 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
0.888 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.888 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.888 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.888 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.888 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.888 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.889 * [taylor]: Taking taylor expansion of re in im
0.889 * [backup-simplify]: Simplify re into re
0.889 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.889 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.889 * [taylor]: Taking taylor expansion of re in im
0.889 * [backup-simplify]: Simplify re into re
0.889 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.889 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.889 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.889 * [taylor]: Taking taylor expansion of im in im
0.889 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify 1 into 1
0.889 * [backup-simplify]: Simplify (/ 1 1) into 1
0.889 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.889 * [taylor]: Taking taylor expansion of im in im
0.889 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify 1 into 1
0.889 * [backup-simplify]: Simplify (/ 1 1) into 1
0.889 * [backup-simplify]: Simplify (* 1 1) into 1
0.890 * [backup-simplify]: Simplify (+ 0 1) into 1
0.890 * [backup-simplify]: Simplify (sqrt 1) into 1
0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.891 * [backup-simplify]: Simplify (+ 0 0) into 0
0.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.892 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.892 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.892 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.892 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.892 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.892 * [taylor]: Taking taylor expansion of re in re
0.892 * [backup-simplify]: Simplify 0 into 0
0.892 * [backup-simplify]: Simplify 1 into 1
0.892 * [backup-simplify]: Simplify (/ 1 1) into 1
0.892 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.892 * [taylor]: Taking taylor expansion of re in re
0.892 * [backup-simplify]: Simplify 0 into 0
0.892 * [backup-simplify]: Simplify 1 into 1
0.893 * [backup-simplify]: Simplify (/ 1 1) into 1
0.893 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.893 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.893 * [taylor]: Taking taylor expansion of im in re
0.893 * [backup-simplify]: Simplify im into im
0.893 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.893 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.893 * [taylor]: Taking taylor expansion of im in re
0.893 * [backup-simplify]: Simplify im into im
0.893 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.893 * [backup-simplify]: Simplify (* 1 1) into 1
0.893 * [backup-simplify]: Simplify (+ 1 0) into 1
0.893 * [backup-simplify]: Simplify (sqrt 1) into 1
0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.895 * [backup-simplify]: Simplify (+ 0 0) into 0
0.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.895 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.896 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.896 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.896 * [taylor]: Taking taylor expansion of re in re
0.896 * [backup-simplify]: Simplify 0 into 0
0.896 * [backup-simplify]: Simplify 1 into 1
0.896 * [backup-simplify]: Simplify (/ 1 1) into 1
0.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.896 * [taylor]: Taking taylor expansion of re in re
0.896 * [backup-simplify]: Simplify 0 into 0
0.896 * [backup-simplify]: Simplify 1 into 1
0.896 * [backup-simplify]: Simplify (/ 1 1) into 1
0.896 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.896 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.896 * [taylor]: Taking taylor expansion of im in re
0.896 * [backup-simplify]: Simplify im into im
0.896 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.896 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.896 * [taylor]: Taking taylor expansion of im in re
0.896 * [backup-simplify]: Simplify im into im
0.896 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.897 * [backup-simplify]: Simplify (* 1 1) into 1
0.897 * [backup-simplify]: Simplify (+ 1 0) into 1
0.897 * [backup-simplify]: Simplify (sqrt 1) into 1
0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.899 * [backup-simplify]: Simplify (+ 0 0) into 0
0.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.899 * [taylor]: Taking taylor expansion of 1 in im
0.899 * [backup-simplify]: Simplify 1 into 1
0.899 * [taylor]: Taking taylor expansion of 0 in im
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [backup-simplify]: Simplify 1 into 1
0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.901 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.901 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.902 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.902 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.902 * [taylor]: Taking taylor expansion of 1/2 in im
0.902 * [backup-simplify]: Simplify 1/2 into 1/2
0.902 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.902 * [taylor]: Taking taylor expansion of im in im
0.902 * [backup-simplify]: Simplify 0 into 0
0.902 * [backup-simplify]: Simplify 1 into 1
0.902 * [backup-simplify]: Simplify (* 1 1) into 1
0.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.905 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.905 * [backup-simplify]: Simplify (+ 0 0) into 0
0.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.905 * [taylor]: Taking taylor expansion of 0 in im
0.905 * [backup-simplify]: Simplify 0 into 0
0.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.907 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.907 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
0.907 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.907 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.907 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.907 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.907 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.907 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.907 * [taylor]: Taking taylor expansion of -1 in im
0.907 * [backup-simplify]: Simplify -1 into -1
0.907 * [taylor]: Taking taylor expansion of re in im
0.907 * [backup-simplify]: Simplify re into re
0.907 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.907 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.907 * [taylor]: Taking taylor expansion of -1 in im
0.907 * [backup-simplify]: Simplify -1 into -1
0.907 * [taylor]: Taking taylor expansion of re in im
0.907 * [backup-simplify]: Simplify re into re
0.907 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.907 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.907 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.907 * [taylor]: Taking taylor expansion of -1 in im
0.907 * [backup-simplify]: Simplify -1 into -1
0.907 * [taylor]: Taking taylor expansion of im in im
0.907 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify 1 into 1
0.908 * [backup-simplify]: Simplify (/ -1 1) into -1
0.908 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.908 * [taylor]: Taking taylor expansion of -1 in im
0.908 * [backup-simplify]: Simplify -1 into -1
0.908 * [taylor]: Taking taylor expansion of im in im
0.908 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify 1 into 1
0.908 * [backup-simplify]: Simplify (/ -1 1) into -1
0.908 * [backup-simplify]: Simplify (* -1 -1) into 1
0.908 * [backup-simplify]: Simplify (+ 0 1) into 1
0.909 * [backup-simplify]: Simplify (sqrt 1) into 1
0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.910 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.910 * [backup-simplify]: Simplify (+ 0 0) into 0
0.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.911 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.911 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.911 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.911 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.911 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.911 * [taylor]: Taking taylor expansion of -1 in re
0.911 * [backup-simplify]: Simplify -1 into -1
0.911 * [taylor]: Taking taylor expansion of re in re
0.911 * [backup-simplify]: Simplify 0 into 0
0.911 * [backup-simplify]: Simplify 1 into 1
0.911 * [backup-simplify]: Simplify (/ -1 1) into -1
0.911 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.911 * [taylor]: Taking taylor expansion of -1 in re
0.911 * [backup-simplify]: Simplify -1 into -1
0.911 * [taylor]: Taking taylor expansion of re in re
0.911 * [backup-simplify]: Simplify 0 into 0
0.911 * [backup-simplify]: Simplify 1 into 1
0.911 * [backup-simplify]: Simplify (/ -1 1) into -1
0.911 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.911 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.911 * [taylor]: Taking taylor expansion of -1 in re
0.911 * [backup-simplify]: Simplify -1 into -1
0.912 * [taylor]: Taking taylor expansion of im in re
0.912 * [backup-simplify]: Simplify im into im
0.912 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.912 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.912 * [taylor]: Taking taylor expansion of -1 in re
0.912 * [backup-simplify]: Simplify -1 into -1
0.912 * [taylor]: Taking taylor expansion of im in re
0.912 * [backup-simplify]: Simplify im into im
0.912 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.912 * [backup-simplify]: Simplify (* -1 -1) into 1
0.912 * [backup-simplify]: Simplify (+ 1 0) into 1
0.912 * [backup-simplify]: Simplify (sqrt 1) into 1
0.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.914 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.914 * [backup-simplify]: Simplify (+ 0 0) into 0
0.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.914 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.914 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.914 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.914 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.914 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.914 * [taylor]: Taking taylor expansion of -1 in re
0.914 * [backup-simplify]: Simplify -1 into -1
0.914 * [taylor]: Taking taylor expansion of re in re
0.914 * [backup-simplify]: Simplify 0 into 0
0.915 * [backup-simplify]: Simplify 1 into 1
0.915 * [backup-simplify]: Simplify (/ -1 1) into -1
0.915 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.915 * [taylor]: Taking taylor expansion of -1 in re
0.915 * [backup-simplify]: Simplify -1 into -1
0.915 * [taylor]: Taking taylor expansion of re in re
0.915 * [backup-simplify]: Simplify 0 into 0
0.915 * [backup-simplify]: Simplify 1 into 1
0.915 * [backup-simplify]: Simplify (/ -1 1) into -1
0.915 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.915 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.915 * [taylor]: Taking taylor expansion of -1 in re
0.915 * [backup-simplify]: Simplify -1 into -1
0.915 * [taylor]: Taking taylor expansion of im in re
0.915 * [backup-simplify]: Simplify im into im
0.915 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.915 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.915 * [taylor]: Taking taylor expansion of -1 in re
0.915 * [backup-simplify]: Simplify -1 into -1
0.915 * [taylor]: Taking taylor expansion of im in re
0.915 * [backup-simplify]: Simplify im into im
0.915 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.916 * [backup-simplify]: Simplify (* -1 -1) into 1
0.916 * [backup-simplify]: Simplify (+ 1 0) into 1
0.916 * [backup-simplify]: Simplify (sqrt 1) into 1
0.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.917 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.918 * [backup-simplify]: Simplify (+ 0 0) into 0
0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.918 * [taylor]: Taking taylor expansion of 1 in im
0.918 * [backup-simplify]: Simplify 1 into 1
0.918 * [taylor]: Taking taylor expansion of 0 in im
0.918 * [backup-simplify]: Simplify 0 into 0
0.918 * [backup-simplify]: Simplify 1 into 1
0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.920 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.920 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.920 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.921 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.921 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.921 * [taylor]: Taking taylor expansion of 1/2 in im
0.921 * [backup-simplify]: Simplify 1/2 into 1/2
0.921 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.921 * [taylor]: Taking taylor expansion of im in im
0.921 * [backup-simplify]: Simplify 0 into 0
0.921 * [backup-simplify]: Simplify 1 into 1
0.921 * [backup-simplify]: Simplify (* 1 1) into 1
0.921 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.922 * [backup-simplify]: Simplify 0 into 0
0.922 * [backup-simplify]: Simplify 0 into 0
0.922 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.924 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.924 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.924 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.924 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.924 * [backup-simplify]: Simplify (+ 0 0) into 0
0.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.925 * [taylor]: Taking taylor expansion of 0 in im
0.925 * [backup-simplify]: Simplify 0 into 0
0.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.926 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2 2 1)
0.926 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.926 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.926 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.926 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.926 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.926 * [taylor]: Taking taylor expansion of (* re re) in im
0.926 * [taylor]: Taking taylor expansion of re in im
0.926 * [backup-simplify]: Simplify re into re
0.926 * [taylor]: Taking taylor expansion of re in im
0.926 * [backup-simplify]: Simplify re into re
0.926 * [taylor]: Taking taylor expansion of (* im im) in im
0.926 * [taylor]: Taking taylor expansion of im in im
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 1 into 1
0.926 * [taylor]: Taking taylor expansion of im in im
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 1 into 1
0.926 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.927 * [backup-simplify]: Simplify (* 0 0) into 0
0.927 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.927 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.927 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.927 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.928 * [backup-simplify]: Simplify (+ 0 0) into 0
0.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.928 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.928 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.928 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.928 * [taylor]: Taking taylor expansion of (* re re) in re
0.928 * [taylor]: Taking taylor expansion of re in re
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 1 into 1
0.928 * [taylor]: Taking taylor expansion of re in re
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 1 into 1
0.928 * [taylor]: Taking taylor expansion of (* im im) in re
0.928 * [taylor]: Taking taylor expansion of im in re
0.928 * [backup-simplify]: Simplify im into im
0.928 * [taylor]: Taking taylor expansion of im in re
0.928 * [backup-simplify]: Simplify im into im
0.928 * [backup-simplify]: Simplify (* 0 0) into 0
0.928 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.928 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.928 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.929 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.929 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.929 * [backup-simplify]: Simplify (+ 0 0) into 0
0.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.929 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.929 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.929 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.929 * [taylor]: Taking taylor expansion of (* re re) in re
0.929 * [taylor]: Taking taylor expansion of re in re
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 1 into 1
0.929 * [taylor]: Taking taylor expansion of re in re
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 1 into 1
0.929 * [taylor]: Taking taylor expansion of (* im im) in re
0.929 * [taylor]: Taking taylor expansion of im in re
0.929 * [backup-simplify]: Simplify im into im
0.929 * [taylor]: Taking taylor expansion of im in re
0.929 * [backup-simplify]: Simplify im into im
0.930 * [backup-simplify]: Simplify (* 0 0) into 0
0.930 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.930 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.930 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.930 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.930 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.931 * [backup-simplify]: Simplify (+ 0 0) into 0
0.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.931 * [taylor]: Taking taylor expansion of im in im
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 1 into 1
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [taylor]: Taking taylor expansion of 0 in im
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 1 into 1
0.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.932 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.932 * [backup-simplify]: Simplify (+ 1 0) into 1
0.932 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.932 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.932 * [taylor]: Taking taylor expansion of 1/2 in im
0.932 * [backup-simplify]: Simplify 1/2 into 1/2
0.932 * [taylor]: Taking taylor expansion of im in im
0.932 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify 1 into 1
0.933 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 0 into 0
0.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.934 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.934 * [backup-simplify]: Simplify (+ 0 0) into 0
0.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.934 * [taylor]: Taking taylor expansion of 0 in im
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.935 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.935 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.935 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.935 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.935 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.935 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.935 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.935 * [taylor]: Taking taylor expansion of re in im
0.936 * [backup-simplify]: Simplify re into re
0.936 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.936 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.936 * [taylor]: Taking taylor expansion of re in im
0.936 * [backup-simplify]: Simplify re into re
0.936 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.936 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.936 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.936 * [taylor]: Taking taylor expansion of im in im
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify 1 into 1
0.936 * [backup-simplify]: Simplify (/ 1 1) into 1
0.936 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.936 * [taylor]: Taking taylor expansion of im in im
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify 1 into 1
0.936 * [backup-simplify]: Simplify (/ 1 1) into 1
0.936 * [backup-simplify]: Simplify (* 1 1) into 1
0.937 * [backup-simplify]: Simplify (+ 0 1) into 1
0.937 * [backup-simplify]: Simplify (sqrt 1) into 1
0.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.938 * [backup-simplify]: Simplify (+ 0 0) into 0
0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.939 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.939 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.939 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.939 * [taylor]: Taking taylor expansion of re in re
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify 1 into 1
0.939 * [backup-simplify]: Simplify (/ 1 1) into 1
0.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.939 * [taylor]: Taking taylor expansion of re in re
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify 1 into 1
0.939 * [backup-simplify]: Simplify (/ 1 1) into 1
0.939 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.940 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.940 * [taylor]: Taking taylor expansion of im in re
0.940 * [backup-simplify]: Simplify im into im
0.940 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.940 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.940 * [taylor]: Taking taylor expansion of im in re
0.940 * [backup-simplify]: Simplify im into im
0.940 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.940 * [backup-simplify]: Simplify (* 1 1) into 1
0.940 * [backup-simplify]: Simplify (+ 1 0) into 1
0.940 * [backup-simplify]: Simplify (sqrt 1) into 1
0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.942 * [backup-simplify]: Simplify (+ 0 0) into 0
0.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.942 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.942 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.942 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.942 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.942 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.942 * [taylor]: Taking taylor expansion of re in re
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 1 into 1
0.943 * [backup-simplify]: Simplify (/ 1 1) into 1
0.943 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.943 * [taylor]: Taking taylor expansion of re in re
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [backup-simplify]: Simplify 1 into 1
0.943 * [backup-simplify]: Simplify (/ 1 1) into 1
0.943 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.943 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.943 * [taylor]: Taking taylor expansion of im in re
0.943 * [backup-simplify]: Simplify im into im
0.943 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.943 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.943 * [taylor]: Taking taylor expansion of im in re
0.943 * [backup-simplify]: Simplify im into im
0.943 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.943 * [backup-simplify]: Simplify (* 1 1) into 1
0.944 * [backup-simplify]: Simplify (+ 1 0) into 1
0.944 * [backup-simplify]: Simplify (sqrt 1) into 1
0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.945 * [backup-simplify]: Simplify (+ 0 0) into 0
0.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.946 * [taylor]: Taking taylor expansion of 1 in im
0.946 * [backup-simplify]: Simplify 1 into 1
0.946 * [taylor]: Taking taylor expansion of 0 in im
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify 1 into 1
0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.947 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.948 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.948 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.948 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.948 * [taylor]: Taking taylor expansion of 1/2 in im
0.948 * [backup-simplify]: Simplify 1/2 into 1/2
0.948 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.948 * [taylor]: Taking taylor expansion of im in im
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 1 into 1
0.949 * [backup-simplify]: Simplify (* 1 1) into 1
0.949 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.952 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.952 * [backup-simplify]: Simplify (+ 0 0) into 0
0.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.952 * [taylor]: Taking taylor expansion of 0 in im
0.952 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.953 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify 0 into 0
0.954 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.954 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.954 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.954 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.954 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.954 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.954 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.954 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.954 * [taylor]: Taking taylor expansion of -1 in im
0.954 * [backup-simplify]: Simplify -1 into -1
0.954 * [taylor]: Taking taylor expansion of re in im
0.954 * [backup-simplify]: Simplify re into re
0.954 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.954 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.954 * [taylor]: Taking taylor expansion of -1 in im
0.954 * [backup-simplify]: Simplify -1 into -1
0.954 * [taylor]: Taking taylor expansion of re in im
0.954 * [backup-simplify]: Simplify re into re
0.954 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.954 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.954 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.954 * [taylor]: Taking taylor expansion of -1 in im
0.954 * [backup-simplify]: Simplify -1 into -1
0.954 * [taylor]: Taking taylor expansion of im in im
0.954 * [backup-simplify]: Simplify 0 into 0
0.954 * [backup-simplify]: Simplify 1 into 1
0.954 * [backup-simplify]: Simplify (/ -1 1) into -1
0.954 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.954 * [taylor]: Taking taylor expansion of -1 in im
0.954 * [backup-simplify]: Simplify -1 into -1
0.954 * [taylor]: Taking taylor expansion of im in im
0.954 * [backup-simplify]: Simplify 0 into 0
0.954 * [backup-simplify]: Simplify 1 into 1
0.955 * [backup-simplify]: Simplify (/ -1 1) into -1
0.955 * [backup-simplify]: Simplify (* -1 -1) into 1
0.955 * [backup-simplify]: Simplify (+ 0 1) into 1
0.956 * [backup-simplify]: Simplify (sqrt 1) into 1
0.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.957 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.957 * [backup-simplify]: Simplify (+ 0 0) into 0
0.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.958 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.958 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.958 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.958 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.958 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.958 * [taylor]: Taking taylor expansion of -1 in re
0.958 * [backup-simplify]: Simplify -1 into -1
0.958 * [taylor]: Taking taylor expansion of re in re
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify 1 into 1
0.958 * [backup-simplify]: Simplify (/ -1 1) into -1
0.958 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.958 * [taylor]: Taking taylor expansion of -1 in re
0.958 * [backup-simplify]: Simplify -1 into -1
0.958 * [taylor]: Taking taylor expansion of re in re
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify 1 into 1
0.958 * [backup-simplify]: Simplify (/ -1 1) into -1
0.958 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.959 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.959 * [taylor]: Taking taylor expansion of -1 in re
0.959 * [backup-simplify]: Simplify -1 into -1
0.959 * [taylor]: Taking taylor expansion of im in re
0.959 * [backup-simplify]: Simplify im into im
0.959 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.959 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.959 * [taylor]: Taking taylor expansion of -1 in re
0.959 * [backup-simplify]: Simplify -1 into -1
0.959 * [taylor]: Taking taylor expansion of im in re
0.959 * [backup-simplify]: Simplify im into im
0.959 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.959 * [backup-simplify]: Simplify (* -1 -1) into 1
0.959 * [backup-simplify]: Simplify (+ 1 0) into 1
0.959 * [backup-simplify]: Simplify (sqrt 1) into 1
0.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.961 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.961 * [backup-simplify]: Simplify (+ 0 0) into 0
0.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.961 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.961 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.961 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.962 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.962 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.962 * [taylor]: Taking taylor expansion of -1 in re
0.962 * [backup-simplify]: Simplify -1 into -1
0.962 * [taylor]: Taking taylor expansion of re in re
0.962 * [backup-simplify]: Simplify 0 into 0
0.962 * [backup-simplify]: Simplify 1 into 1
0.962 * [backup-simplify]: Simplify (/ -1 1) into -1
0.962 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.962 * [taylor]: Taking taylor expansion of -1 in re
0.962 * [backup-simplify]: Simplify -1 into -1
0.962 * [taylor]: Taking taylor expansion of re in re
0.962 * [backup-simplify]: Simplify 0 into 0
0.962 * [backup-simplify]: Simplify 1 into 1
0.962 * [backup-simplify]: Simplify (/ -1 1) into -1
0.962 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.962 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.962 * [taylor]: Taking taylor expansion of -1 in re
0.962 * [backup-simplify]: Simplify -1 into -1
0.962 * [taylor]: Taking taylor expansion of im in re
0.962 * [backup-simplify]: Simplify im into im
0.962 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.962 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.962 * [taylor]: Taking taylor expansion of -1 in re
0.962 * [backup-simplify]: Simplify -1 into -1
0.962 * [taylor]: Taking taylor expansion of im in re
0.962 * [backup-simplify]: Simplify im into im
0.962 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.963 * [backup-simplify]: Simplify (* -1 -1) into 1
0.963 * [backup-simplify]: Simplify (+ 1 0) into 1
0.963 * [backup-simplify]: Simplify (sqrt 1) into 1
0.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.964 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.965 * [backup-simplify]: Simplify (+ 0 0) into 0
0.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.965 * [taylor]: Taking taylor expansion of 1 in im
0.965 * [backup-simplify]: Simplify 1 into 1
0.965 * [taylor]: Taking taylor expansion of 0 in im
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [backup-simplify]: Simplify 1 into 1
0.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.967 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.967 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.967 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.968 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.968 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.968 * [taylor]: Taking taylor expansion of 1/2 in im
0.968 * [backup-simplify]: Simplify 1/2 into 1/2
0.968 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.968 * [taylor]: Taking taylor expansion of im in im
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [backup-simplify]: Simplify 1 into 1
0.968 * [backup-simplify]: Simplify (* 1 1) into 1
0.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.971 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.971 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.971 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.971 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.972 * [backup-simplify]: Simplify (+ 0 0) into 0
0.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.978 * [taylor]: Taking taylor expansion of 0 in im
0.978 * [backup-simplify]: Simplify 0 into 0
0.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.979 * [backup-simplify]: Simplify 0 into 0
0.979 * [backup-simplify]: Simplify 0 into 0
0.979 * [backup-simplify]: Simplify 0 into 0
0.979 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.980 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1 1)
0.980 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.980 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.980 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.980 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.980 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.980 * [taylor]: Taking taylor expansion of (* re re) in im
0.980 * [taylor]: Taking taylor expansion of re in im
0.980 * [backup-simplify]: Simplify re into re
0.980 * [taylor]: Taking taylor expansion of re in im
0.980 * [backup-simplify]: Simplify re into re
0.980 * [taylor]: Taking taylor expansion of (* im im) in im
0.980 * [taylor]: Taking taylor expansion of im in im
0.980 * [backup-simplify]: Simplify 0 into 0
0.980 * [backup-simplify]: Simplify 1 into 1
0.980 * [taylor]: Taking taylor expansion of im in im
0.980 * [backup-simplify]: Simplify 0 into 0
0.980 * [backup-simplify]: Simplify 1 into 1
0.980 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.980 * [backup-simplify]: Simplify (* 0 0) into 0
0.980 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.980 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.981 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.981 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.981 * [backup-simplify]: Simplify (+ 0 0) into 0
0.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.981 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.981 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.981 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.981 * [taylor]: Taking taylor expansion of (* re re) in re
0.981 * [taylor]: Taking taylor expansion of re in re
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify 1 into 1
0.981 * [taylor]: Taking taylor expansion of re in re
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify 1 into 1
0.981 * [taylor]: Taking taylor expansion of (* im im) in re
0.981 * [taylor]: Taking taylor expansion of im in re
0.982 * [backup-simplify]: Simplify im into im
0.982 * [taylor]: Taking taylor expansion of im in re
0.982 * [backup-simplify]: Simplify im into im
0.982 * [backup-simplify]: Simplify (* 0 0) into 0
0.982 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.982 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.982 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.982 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.982 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.983 * [backup-simplify]: Simplify (+ 0 0) into 0
0.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.983 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.983 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.983 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.983 * [taylor]: Taking taylor expansion of (* re re) in re
0.983 * [taylor]: Taking taylor expansion of re in re
0.983 * [backup-simplify]: Simplify 0 into 0
0.983 * [backup-simplify]: Simplify 1 into 1
0.983 * [taylor]: Taking taylor expansion of re in re
0.983 * [backup-simplify]: Simplify 0 into 0
0.983 * [backup-simplify]: Simplify 1 into 1
0.983 * [taylor]: Taking taylor expansion of (* im im) in re
0.983 * [taylor]: Taking taylor expansion of im in re
0.983 * [backup-simplify]: Simplify im into im
0.983 * [taylor]: Taking taylor expansion of im in re
0.983 * [backup-simplify]: Simplify im into im
0.983 * [backup-simplify]: Simplify (* 0 0) into 0
0.983 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.983 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.984 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.984 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.984 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.984 * [backup-simplify]: Simplify (+ 0 0) into 0
0.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.984 * [taylor]: Taking taylor expansion of im in im
0.984 * [backup-simplify]: Simplify 0 into 0
0.984 * [backup-simplify]: Simplify 1 into 1
0.984 * [backup-simplify]: Simplify 0 into 0
0.984 * [taylor]: Taking taylor expansion of 0 in im
0.984 * [backup-simplify]: Simplify 0 into 0
0.984 * [backup-simplify]: Simplify 0 into 0
0.984 * [backup-simplify]: Simplify 1 into 1
0.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.985 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.985 * [backup-simplify]: Simplify (+ 1 0) into 1
0.986 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.986 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.986 * [taylor]: Taking taylor expansion of 1/2 in im
0.986 * [backup-simplify]: Simplify 1/2 into 1/2
0.986 * [taylor]: Taking taylor expansion of im in im
0.986 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify 1 into 1
0.986 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.987 * [backup-simplify]: Simplify 0 into 0
0.987 * [backup-simplify]: Simplify 0 into 0
0.987 * [backup-simplify]: Simplify 0 into 0
0.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.988 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.988 * [backup-simplify]: Simplify (+ 0 0) into 0
0.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.988 * [taylor]: Taking taylor expansion of 0 in im
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.989 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.989 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.989 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.989 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.989 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.989 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.989 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.989 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.989 * [taylor]: Taking taylor expansion of re in im
0.989 * [backup-simplify]: Simplify re into re
0.989 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.989 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.989 * [taylor]: Taking taylor expansion of re in im
0.989 * [backup-simplify]: Simplify re into re
0.989 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.989 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.989 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.989 * [taylor]: Taking taylor expansion of im in im
0.989 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify 1 into 1
0.990 * [backup-simplify]: Simplify (/ 1 1) into 1
0.990 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.990 * [taylor]: Taking taylor expansion of im in im
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [backup-simplify]: Simplify 1 into 1
0.990 * [backup-simplify]: Simplify (/ 1 1) into 1
0.990 * [backup-simplify]: Simplify (* 1 1) into 1
0.990 * [backup-simplify]: Simplify (+ 0 1) into 1
0.991 * [backup-simplify]: Simplify (sqrt 1) into 1
0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.992 * [backup-simplify]: Simplify (+ 0 0) into 0
0.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.992 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.992 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.993 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.993 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.993 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.993 * [taylor]: Taking taylor expansion of re in re
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 1 into 1
0.993 * [backup-simplify]: Simplify (/ 1 1) into 1
0.993 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.993 * [taylor]: Taking taylor expansion of re in re
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 1 into 1
0.993 * [backup-simplify]: Simplify (/ 1 1) into 1
0.993 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.993 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.993 * [taylor]: Taking taylor expansion of im in re
0.993 * [backup-simplify]: Simplify im into im
0.993 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.993 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.993 * [taylor]: Taking taylor expansion of im in re
0.993 * [backup-simplify]: Simplify im into im
0.993 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.994 * [backup-simplify]: Simplify (* 1 1) into 1
0.994 * [backup-simplify]: Simplify (+ 1 0) into 1
0.994 * [backup-simplify]: Simplify (sqrt 1) into 1
0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.995 * [backup-simplify]: Simplify (+ 0 0) into 0
0.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.996 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.996 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.996 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.996 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.996 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.996 * [taylor]: Taking taylor expansion of re in re
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify 1 into 1
0.996 * [backup-simplify]: Simplify (/ 1 1) into 1
0.997 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.997 * [taylor]: Taking taylor expansion of re in re
0.997 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify 1 into 1
0.997 * [backup-simplify]: Simplify (/ 1 1) into 1
0.997 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.997 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.997 * [taylor]: Taking taylor expansion of im in re
0.997 * [backup-simplify]: Simplify im into im
0.997 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.997 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.997 * [taylor]: Taking taylor expansion of im in re
0.997 * [backup-simplify]: Simplify im into im
0.997 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.997 * [backup-simplify]: Simplify (* 1 1) into 1
0.997 * [backup-simplify]: Simplify (+ 1 0) into 1
0.998 * [backup-simplify]: Simplify (sqrt 1) into 1
0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.999 * [backup-simplify]: Simplify (+ 0 0) into 0
0.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.000 * [taylor]: Taking taylor expansion of 1 in im
1.000 * [backup-simplify]: Simplify 1 into 1
1.000 * [taylor]: Taking taylor expansion of 0 in im
1.000 * [backup-simplify]: Simplify 0 into 0
1.000 * [backup-simplify]: Simplify 1 into 1
1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.001 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
1.001 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.002 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.002 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.002 * [taylor]: Taking taylor expansion of 1/2 in im
1.002 * [backup-simplify]: Simplify 1/2 into 1/2
1.002 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.002 * [taylor]: Taking taylor expansion of im in im
1.002 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify 1 into 1
1.002 * [backup-simplify]: Simplify (* 1 1) into 1
1.003 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.005 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
1.006 * [backup-simplify]: Simplify (+ 0 0) into 0
1.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.006 * [taylor]: Taking taylor expansion of 0 in im
1.006 * [backup-simplify]: Simplify 0 into 0
1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.007 * [backup-simplify]: Simplify 0 into 0
1.007 * [backup-simplify]: Simplify 0 into 0
1.007 * [backup-simplify]: Simplify 0 into 0
1.007 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.007 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
1.007 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
1.007 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
1.007 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
1.007 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
1.007 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
1.008 * [taylor]: Taking taylor expansion of (/ -1 re) in im
1.008 * [taylor]: Taking taylor expansion of -1 in im
1.008 * [backup-simplify]: Simplify -1 into -1
1.008 * [taylor]: Taking taylor expansion of re in im
1.008 * [backup-simplify]: Simplify re into re
1.008 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
1.008 * [taylor]: Taking taylor expansion of (/ -1 re) in im
1.008 * [taylor]: Taking taylor expansion of -1 in im
1.008 * [backup-simplify]: Simplify -1 into -1
1.008 * [taylor]: Taking taylor expansion of re in im
1.008 * [backup-simplify]: Simplify re into re
1.008 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
1.008 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
1.008 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.008 * [taylor]: Taking taylor expansion of -1 in im
1.008 * [backup-simplify]: Simplify -1 into -1
1.008 * [taylor]: Taking taylor expansion of im in im
1.008 * [backup-simplify]: Simplify 0 into 0
1.008 * [backup-simplify]: Simplify 1 into 1
1.008 * [backup-simplify]: Simplify (/ -1 1) into -1
1.008 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.008 * [taylor]: Taking taylor expansion of -1 in im
1.008 * [backup-simplify]: Simplify -1 into -1
1.008 * [taylor]: Taking taylor expansion of im in im
1.008 * [backup-simplify]: Simplify 0 into 0
1.008 * [backup-simplify]: Simplify 1 into 1
1.008 * [backup-simplify]: Simplify (/ -1 1) into -1
1.009 * [backup-simplify]: Simplify (* -1 -1) into 1
1.009 * [backup-simplify]: Simplify (+ 0 1) into 1
1.009 * [backup-simplify]: Simplify (sqrt 1) into 1
1.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.010 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.011 * [backup-simplify]: Simplify (+ 0 0) into 0
1.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.011 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
1.011 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
1.011 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
1.011 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
1.011 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.011 * [taylor]: Taking taylor expansion of -1 in re
1.011 * [backup-simplify]: Simplify -1 into -1
1.011 * [taylor]: Taking taylor expansion of re in re
1.011 * [backup-simplify]: Simplify 0 into 0
1.011 * [backup-simplify]: Simplify 1 into 1
1.011 * [backup-simplify]: Simplify (/ -1 1) into -1
1.012 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.012 * [taylor]: Taking taylor expansion of -1 in re
1.012 * [backup-simplify]: Simplify -1 into -1
1.012 * [taylor]: Taking taylor expansion of re in re
1.012 * [backup-simplify]: Simplify 0 into 0
1.012 * [backup-simplify]: Simplify 1 into 1
1.012 * [backup-simplify]: Simplify (/ -1 1) into -1
1.012 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
1.012 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.012 * [taylor]: Taking taylor expansion of -1 in re
1.012 * [backup-simplify]: Simplify -1 into -1
1.012 * [taylor]: Taking taylor expansion of im in re
1.012 * [backup-simplify]: Simplify im into im
1.012 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.012 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.012 * [taylor]: Taking taylor expansion of -1 in re
1.012 * [backup-simplify]: Simplify -1 into -1
1.012 * [taylor]: Taking taylor expansion of im in re
1.012 * [backup-simplify]: Simplify im into im
1.012 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.012 * [backup-simplify]: Simplify (* -1 -1) into 1
1.013 * [backup-simplify]: Simplify (+ 1 0) into 1
1.013 * [backup-simplify]: Simplify (sqrt 1) into 1
1.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.014 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.014 * [backup-simplify]: Simplify (+ 0 0) into 0
1.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.015 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
1.015 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
1.015 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
1.015 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
1.015 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.015 * [taylor]: Taking taylor expansion of -1 in re
1.015 * [backup-simplify]: Simplify -1 into -1
1.015 * [taylor]: Taking taylor expansion of re in re
1.015 * [backup-simplify]: Simplify 0 into 0
1.015 * [backup-simplify]: Simplify 1 into 1
1.015 * [backup-simplify]: Simplify (/ -1 1) into -1
1.015 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.015 * [taylor]: Taking taylor expansion of -1 in re
1.015 * [backup-simplify]: Simplify -1 into -1
1.015 * [taylor]: Taking taylor expansion of re in re
1.015 * [backup-simplify]: Simplify 0 into 0
1.015 * [backup-simplify]: Simplify 1 into 1
1.016 * [backup-simplify]: Simplify (/ -1 1) into -1
1.016 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
1.016 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.016 * [taylor]: Taking taylor expansion of -1 in re
1.016 * [backup-simplify]: Simplify -1 into -1
1.016 * [taylor]: Taking taylor expansion of im in re
1.016 * [backup-simplify]: Simplify im into im
1.016 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.016 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.016 * [taylor]: Taking taylor expansion of -1 in re
1.016 * [backup-simplify]: Simplify -1 into -1
1.016 * [taylor]: Taking taylor expansion of im in re
1.016 * [backup-simplify]: Simplify im into im
1.016 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.016 * [backup-simplify]: Simplify (* -1 -1) into 1
1.016 * [backup-simplify]: Simplify (+ 1 0) into 1
1.016 * [backup-simplify]: Simplify (sqrt 1) into 1
1.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.018 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.018 * [backup-simplify]: Simplify (+ 0 0) into 0
1.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.018 * [taylor]: Taking taylor expansion of 1 in im
1.018 * [backup-simplify]: Simplify 1 into 1
1.018 * [taylor]: Taking taylor expansion of 0 in im
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [backup-simplify]: Simplify 1 into 1
1.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.020 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
1.020 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
1.020 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.021 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.021 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.021 * [taylor]: Taking taylor expansion of 1/2 in im
1.021 * [backup-simplify]: Simplify 1/2 into 1/2
1.021 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.021 * [taylor]: Taking taylor expansion of im in im
1.021 * [backup-simplify]: Simplify 0 into 0
1.021 * [backup-simplify]: Simplify 1 into 1
1.021 * [backup-simplify]: Simplify (* 1 1) into 1
1.022 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
1.024 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
1.024 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
1.025 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
1.025 * [backup-simplify]: Simplify (+ 0 0) into 0
1.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.025 * [taylor]: Taking taylor expansion of 0 in im
1.025 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.026 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.026 * * * [progress]: simplifying candidates
1.028 * [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)
1.028 * [simplify]: Sending expressions to egg_math:
 (expm1 (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))))
 (log1p (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))))
 (* (exp h0) (exp (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))))
 (log (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))))
 (exp (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))))
 (* (cbrt (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (cbrt (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))))
 (cbrt (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))))
 (* (* (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))))
 (sqrt (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))))
 (sqrt (+ h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))))
 (+ (pow h0 3) (pow (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) 3))
 (+ (* h0 h0) (- (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))))
 (- (* h0 h0) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))))
 (- h0 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))
 (expm1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))
 (log1p (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))
 (+ 1/2 1/2)
 (+ 1/2 (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) 1/2)
 (+ (/ 1 2) (/ 1 2))
 (* (hypot h0 h1) (hypot h0 h1))
 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))
 (* (hypot h0 h1) (hypot h0 h1))
 (+ 1 1)
 (+ (log (sqrt (hypot h0 h1))) (log (sqrt (hypot h0 h1))))
 (log (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))
 (exp (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))
 (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))))
 (* (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))))
 (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))
 (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))
 (* (hypot h0 h1) (hypot h0 h1))
 (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))
 (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))
 (* (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))))
 (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))
 (* (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))))
 (* (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* 1 1)
 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))))
 (* 2 1/2)
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (hypot h0 h1)) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))))
 (* (sqrt (hypot h0 h1)) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))))
 (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (hypot h0 h1)) (sqrt 1))
 (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1))))
 (* (sqrt (hypot h0 h1)) 1)
 (* (cbrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1)))
 (* (sqrt (cbrt (hypot h0 h1))) (sqrt (hypot h0 h1)))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1)))
 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))
 (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1)))
 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))
 (expm1 (hypot h0 h1))
 (log1p (hypot h0 h1))
 (+ (* h0 h0) (* h1 h1))
 (log (hypot h0 h1))
 (exp (hypot h0 h1))
 (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))
 (cbrt (hypot h0 h1))
 (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1))
 (sqrt (hypot h0 h1))
 (sqrt (hypot h0 h1))
 (expm1 (hypot h0 h1))
 (log1p (hypot h0 h1))
 (+ (* h0 h0) (* h1 h1))
 (log (hypot h0 h1))
 (exp (hypot h0 h1))
 (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))
 (cbrt (hypot h0 h1))
 (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1))
 (sqrt (hypot h0 h1))
 (sqrt (hypot h0 h1))
 (+ h0 h1)
 (* 2 h0)
 0
 h1
 h0
 (* -1 h0)
 h1
 h0
 (* -1 h0)
 h1
 h0
 (* -1 h0)
1.033 * * [simplify]: iteration  0 :  171  enodes  (cost  341 )
1.037 * * [simplify]: iteration  1 :  603  enodes  (cost  286 )
1.054 * * [simplify]: iteration  2 :  3648  enodes  (cost  275 )
1.198 * * [simplify]: iteration  3 :  5001  enodes  (cost  275 )
1.200 * * * [progress]: adding candidates to table
1.444 * * [progress]: iteration 4 / 4
1.444 * * * [progress]: picking best candidate
1.460 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt 1) (hypot re im))))))))>
1.460 * * * [progress]: localizing error
1.475 * * * [progress]: generating rewritten candidates
1.475 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 2)
1.480 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2 2 2)
1.481 * * * [progress]: generating series expansions
1.481 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 2)
1.482 * [backup-simplify]: Simplify (+ re (* (sqrt 1) (hypot re im))) into (+ re (hypot re im))
1.482 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
1.482 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
1.482 * [taylor]: Taking taylor expansion of re in im
1.482 * [backup-simplify]: Simplify re into re
1.482 * [taylor]: Taking taylor expansion of (hypot re im) in im
1.482 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
1.482 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
1.482 * [taylor]: Taking taylor expansion of (* re re) in im
1.482 * [taylor]: Taking taylor expansion of re in im
1.482 * [backup-simplify]: Simplify re into re
1.482 * [taylor]: Taking taylor expansion of re in im
1.482 * [backup-simplify]: Simplify re into re
1.482 * [taylor]: Taking taylor expansion of (* im im) in im
1.482 * [taylor]: Taking taylor expansion of im in im
1.482 * [backup-simplify]: Simplify 0 into 0
1.482 * [backup-simplify]: Simplify 1 into 1
1.482 * [taylor]: Taking taylor expansion of im in im
1.482 * [backup-simplify]: Simplify 0 into 0
1.482 * [backup-simplify]: Simplify 1 into 1
1.482 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.483 * [backup-simplify]: Simplify (* 0 0) into 0
1.483 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.483 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.483 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.483 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.483 * [backup-simplify]: Simplify (+ 0 0) into 0
1.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.484 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
1.484 * [taylor]: Taking taylor expansion of re in re
1.484 * [backup-simplify]: Simplify 0 into 0
1.484 * [backup-simplify]: Simplify 1 into 1
1.484 * [taylor]: Taking taylor expansion of (hypot re im) in re
1.484 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
1.484 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
1.484 * [taylor]: Taking taylor expansion of (* re re) in re
1.484 * [taylor]: Taking taylor expansion of re in re
1.484 * [backup-simplify]: Simplify 0 into 0
1.484 * [backup-simplify]: Simplify 1 into 1
1.484 * [taylor]: Taking taylor expansion of re in re
1.484 * [backup-simplify]: Simplify 0 into 0
1.484 * [backup-simplify]: Simplify 1 into 1
1.484 * [taylor]: Taking taylor expansion of (* im im) in re
1.484 * [taylor]: Taking taylor expansion of im in re
1.484 * [backup-simplify]: Simplify im into im
1.484 * [taylor]: Taking taylor expansion of im in re
1.484 * [backup-simplify]: Simplify im into im
1.484 * [backup-simplify]: Simplify (* 0 0) into 0
1.484 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.484 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.484 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.485 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.485 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.485 * [backup-simplify]: Simplify (+ 0 0) into 0
1.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.485 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
1.485 * [taylor]: Taking taylor expansion of re in re
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [backup-simplify]: Simplify 1 into 1
1.485 * [taylor]: Taking taylor expansion of (hypot re im) in re
1.485 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
1.485 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
1.485 * [taylor]: Taking taylor expansion of (* re re) in re
1.485 * [taylor]: Taking taylor expansion of re in re
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [backup-simplify]: Simplify 1 into 1
1.485 * [taylor]: Taking taylor expansion of re in re
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [backup-simplify]: Simplify 1 into 1
1.485 * [taylor]: Taking taylor expansion of (* im im) in re
1.485 * [taylor]: Taking taylor expansion of im in re
1.485 * [backup-simplify]: Simplify im into im
1.485 * [taylor]: Taking taylor expansion of im in re
1.485 * [backup-simplify]: Simplify im into im
1.486 * [backup-simplify]: Simplify (* 0 0) into 0
1.486 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.486 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.486 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.486 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.486 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.486 * [backup-simplify]: Simplify (+ 0 0) into 0
1.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.487 * [backup-simplify]: Simplify (+ 0 im) into im
1.487 * [taylor]: Taking taylor expansion of im in im
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [backup-simplify]: Simplify 1 into 1
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [backup-simplify]: Simplify (+ 1 0) into 1
1.487 * [taylor]: Taking taylor expansion of 1 in im
1.487 * [backup-simplify]: Simplify 1 into 1
1.487 * [backup-simplify]: Simplify 1 into 1
1.487 * [backup-simplify]: Simplify 1 into 1
1.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
1.488 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.488 * [backup-simplify]: Simplify (+ 1 0) into 1
1.489 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.489 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
1.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
1.489 * [taylor]: Taking taylor expansion of 1/2 in im
1.489 * [backup-simplify]: Simplify 1/2 into 1/2
1.489 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.489 * [taylor]: Taking taylor expansion of im in im
1.489 * [backup-simplify]: Simplify 0 into 0
1.489 * [backup-simplify]: Simplify 1 into 1
1.489 * [backup-simplify]: Simplify (/ 1 1) into 1
1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.490 * [backup-simplify]: Simplify 0 into 0
1.490 * [backup-simplify]: Simplify 0 into 0
1.490 * [backup-simplify]: Simplify 0 into 0
1.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
1.491 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.491 * [backup-simplify]: Simplify (+ 0 0) into 0
1.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.491 * [backup-simplify]: Simplify (+ 0 0) into 0
1.491 * [taylor]: Taking taylor expansion of 0 in im
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.492 * [backup-simplify]: Simplify 0 into 0
1.493 * [backup-simplify]: Simplify 0 into 0
1.493 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
1.493 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt 1) (hypot (/ 1 re) (/ 1 im)))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
1.493 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
1.493 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
1.493 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
1.493 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
1.493 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
1.493 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
1.493 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.493 * [taylor]: Taking taylor expansion of re in im
1.493 * [backup-simplify]: Simplify re into re
1.493 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.493 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.493 * [taylor]: Taking taylor expansion of re in im
1.493 * [backup-simplify]: Simplify re into re
1.493 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.493 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
1.493 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.493 * [taylor]: Taking taylor expansion of im in im
1.493 * [backup-simplify]: Simplify 0 into 0
1.493 * [backup-simplify]: Simplify 1 into 1
1.494 * [backup-simplify]: Simplify (/ 1 1) into 1
1.494 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.494 * [taylor]: Taking taylor expansion of im in im
1.494 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify 1 into 1
1.494 * [backup-simplify]: Simplify (/ 1 1) into 1
1.494 * [backup-simplify]: Simplify (* 1 1) into 1
1.494 * [backup-simplify]: Simplify (+ 0 1) into 1
1.495 * [backup-simplify]: Simplify (sqrt 1) into 1
1.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.496 * [backup-simplify]: Simplify (+ 0 0) into 0
1.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.496 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.496 * [taylor]: Taking taylor expansion of re in im
1.496 * [backup-simplify]: Simplify re into re
1.497 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.497 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
1.497 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
1.497 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
1.497 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
1.497 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
1.497 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.497 * [taylor]: Taking taylor expansion of re in re
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 1 into 1
1.497 * [backup-simplify]: Simplify (/ 1 1) into 1
1.497 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.497 * [taylor]: Taking taylor expansion of re in re
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 1 into 1
1.497 * [backup-simplify]: Simplify (/ 1 1) into 1
1.497 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
1.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.497 * [taylor]: Taking taylor expansion of im in re
1.497 * [backup-simplify]: Simplify im into im
1.497 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.497 * [taylor]: Taking taylor expansion of im in re
1.497 * [backup-simplify]: Simplify im into im
1.498 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.498 * [backup-simplify]: Simplify (* 1 1) into 1
1.498 * [backup-simplify]: Simplify (+ 1 0) into 1
1.498 * [backup-simplify]: Simplify (sqrt 1) into 1
1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.500 * [backup-simplify]: Simplify (+ 0 0) into 0
1.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.500 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.500 * [taylor]: Taking taylor expansion of re in re
1.500 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify 1 into 1
1.500 * [backup-simplify]: Simplify (/ 1 1) into 1
1.500 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
1.500 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
1.500 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
1.500 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
1.500 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
1.500 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.501 * [taylor]: Taking taylor expansion of re in re
1.501 * [backup-simplify]: Simplify 0 into 0
1.501 * [backup-simplify]: Simplify 1 into 1
1.501 * [backup-simplify]: Simplify (/ 1 1) into 1
1.501 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.501 * [taylor]: Taking taylor expansion of re in re
1.501 * [backup-simplify]: Simplify 0 into 0
1.501 * [backup-simplify]: Simplify 1 into 1
1.501 * [backup-simplify]: Simplify (/ 1 1) into 1
1.501 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
1.501 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.501 * [taylor]: Taking taylor expansion of im in re
1.501 * [backup-simplify]: Simplify im into im
1.501 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.501 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.501 * [taylor]: Taking taylor expansion of im in re
1.501 * [backup-simplify]: Simplify im into im
1.501 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.501 * [backup-simplify]: Simplify (* 1 1) into 1
1.502 * [backup-simplify]: Simplify (+ 1 0) into 1
1.502 * [backup-simplify]: Simplify (sqrt 1) into 1
1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.503 * [backup-simplify]: Simplify (+ 0 0) into 0
1.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.504 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.504 * [taylor]: Taking taylor expansion of re in re
1.504 * [backup-simplify]: Simplify 0 into 0
1.504 * [backup-simplify]: Simplify 1 into 1
1.504 * [backup-simplify]: Simplify (/ 1 1) into 1
1.504 * [backup-simplify]: Simplify (+ 1 1) into 2
1.504 * [taylor]: Taking taylor expansion of 2 in im
1.504 * [backup-simplify]: Simplify 2 into 2
1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.505 * [backup-simplify]: Simplify (+ 0 0) into 0
1.505 * [taylor]: Taking taylor expansion of 0 in im
1.505 * [backup-simplify]: Simplify 0 into 0
1.505 * [backup-simplify]: Simplify 2 into 2
1.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.507 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
1.507 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.508 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.508 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.508 * [taylor]: Taking taylor expansion of 1/2 in im
1.508 * [backup-simplify]: Simplify 1/2 into 1/2
1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.508 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.508 * [taylor]: Taking taylor expansion of im in im
1.508 * [backup-simplify]: Simplify 0 into 0
1.508 * [backup-simplify]: Simplify 1 into 1
1.509 * [backup-simplify]: Simplify (* 1 1) into 1
1.509 * [backup-simplify]: Simplify (/ 1 1) into 1
1.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.510 * [backup-simplify]: Simplify 0 into 0
1.510 * [backup-simplify]: Simplify 0 into 0
1.510 * [backup-simplify]: Simplify 0 into 0
1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.512 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
1.512 * [backup-simplify]: Simplify (+ 0 0) into 0
1.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.513 * [backup-simplify]: Simplify (+ 0 0) into 0
1.513 * [taylor]: Taking taylor expansion of 0 in im
1.513 * [backup-simplify]: Simplify 0 into 0
1.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.515 * [backup-simplify]: Simplify 0 into 0
1.515 * [backup-simplify]: Simplify 0 into 0
1.515 * [backup-simplify]: Simplify 0 into 0
1.515 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
1.515 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt 1) (hypot (/ 1 (- re)) (/ 1 (- im))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
1.515 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
1.516 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
1.516 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
1.516 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
1.516 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
1.516 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
1.516 * [taylor]: Taking taylor expansion of (/ -1 re) in im
1.516 * [taylor]: Taking taylor expansion of -1 in im
1.516 * [backup-simplify]: Simplify -1 into -1
1.516 * [taylor]: Taking taylor expansion of re in im
1.516 * [backup-simplify]: Simplify re into re
1.516 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
1.516 * [taylor]: Taking taylor expansion of (/ -1 re) in im
1.516 * [taylor]: Taking taylor expansion of -1 in im
1.516 * [backup-simplify]: Simplify -1 into -1
1.516 * [taylor]: Taking taylor expansion of re in im
1.516 * [backup-simplify]: Simplify re into re
1.516 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
1.516 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
1.516 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.516 * [taylor]: Taking taylor expansion of -1 in im
1.516 * [backup-simplify]: Simplify -1 into -1
1.516 * [taylor]: Taking taylor expansion of im in im
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify 1 into 1
1.516 * [backup-simplify]: Simplify (/ -1 1) into -1
1.516 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.516 * [taylor]: Taking taylor expansion of -1 in im
1.516 * [backup-simplify]: Simplify -1 into -1
1.516 * [taylor]: Taking taylor expansion of im in im
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify 1 into 1
1.517 * [backup-simplify]: Simplify (/ -1 1) into -1
1.517 * [backup-simplify]: Simplify (* -1 -1) into 1
1.517 * [backup-simplify]: Simplify (+ 0 1) into 1
1.517 * [backup-simplify]: Simplify (sqrt 1) into 1
1.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.519 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.519 * [backup-simplify]: Simplify (+ 0 0) into 0
1.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.519 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.519 * [taylor]: Taking taylor expansion of re in im
1.519 * [backup-simplify]: Simplify re into re
1.519 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.519 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
1.519 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
1.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
1.519 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
1.519 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
1.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.519 * [taylor]: Taking taylor expansion of -1 in re
1.520 * [backup-simplify]: Simplify -1 into -1
1.520 * [taylor]: Taking taylor expansion of re in re
1.520 * [backup-simplify]: Simplify 0 into 0
1.520 * [backup-simplify]: Simplify 1 into 1
1.520 * [backup-simplify]: Simplify (/ -1 1) into -1
1.520 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.520 * [taylor]: Taking taylor expansion of -1 in re
1.520 * [backup-simplify]: Simplify -1 into -1
1.520 * [taylor]: Taking taylor expansion of re in re
1.520 * [backup-simplify]: Simplify 0 into 0
1.520 * [backup-simplify]: Simplify 1 into 1
1.520 * [backup-simplify]: Simplify (/ -1 1) into -1
1.520 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
1.520 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.520 * [taylor]: Taking taylor expansion of -1 in re
1.520 * [backup-simplify]: Simplify -1 into -1
1.520 * [taylor]: Taking taylor expansion of im in re
1.520 * [backup-simplify]: Simplify im into im
1.520 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.520 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.520 * [taylor]: Taking taylor expansion of -1 in re
1.520 * [backup-simplify]: Simplify -1 into -1
1.520 * [taylor]: Taking taylor expansion of im in re
1.520 * [backup-simplify]: Simplify im into im
1.520 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.521 * [backup-simplify]: Simplify (* -1 -1) into 1
1.521 * [backup-simplify]: Simplify (+ 1 0) into 1
1.521 * [backup-simplify]: Simplify (sqrt 1) into 1
1.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.522 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.523 * [backup-simplify]: Simplify (+ 0 0) into 0
1.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.523 * [taylor]: Taking taylor expansion of re in re
1.523 * [backup-simplify]: Simplify 0 into 0
1.523 * [backup-simplify]: Simplify 1 into 1
1.523 * [backup-simplify]: Simplify (/ 1 1) into 1
1.523 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
1.523 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
1.523 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
1.523 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
1.523 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
1.523 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.523 * [taylor]: Taking taylor expansion of -1 in re
1.524 * [backup-simplify]: Simplify -1 into -1
1.524 * [taylor]: Taking taylor expansion of re in re
1.524 * [backup-simplify]: Simplify 0 into 0
1.524 * [backup-simplify]: Simplify 1 into 1
1.524 * [backup-simplify]: Simplify (/ -1 1) into -1
1.524 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.524 * [taylor]: Taking taylor expansion of -1 in re
1.524 * [backup-simplify]: Simplify -1 into -1
1.524 * [taylor]: Taking taylor expansion of re in re
1.524 * [backup-simplify]: Simplify 0 into 0
1.524 * [backup-simplify]: Simplify 1 into 1
1.524 * [backup-simplify]: Simplify (/ -1 1) into -1
1.524 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
1.524 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.524 * [taylor]: Taking taylor expansion of -1 in re
1.524 * [backup-simplify]: Simplify -1 into -1
1.524 * [taylor]: Taking taylor expansion of im in re
1.524 * [backup-simplify]: Simplify im into im
1.524 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.524 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.524 * [taylor]: Taking taylor expansion of -1 in re
1.524 * [backup-simplify]: Simplify -1 into -1
1.524 * [taylor]: Taking taylor expansion of im in re
1.524 * [backup-simplify]: Simplify im into im
1.524 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.525 * [backup-simplify]: Simplify (* -1 -1) into 1
1.525 * [backup-simplify]: Simplify (+ 1 0) into 1
1.525 * [backup-simplify]: Simplify (sqrt 1) into 1
1.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.526 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.527 * [backup-simplify]: Simplify (+ 0 0) into 0
1.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.527 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.527 * [taylor]: Taking taylor expansion of re in re
1.527 * [backup-simplify]: Simplify 0 into 0
1.527 * [backup-simplify]: Simplify 1 into 1
1.527 * [backup-simplify]: Simplify (/ 1 1) into 1
1.528 * [backup-simplify]: Simplify (- 1) into -1
1.528 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.528 * [taylor]: Taking taylor expansion of 0 in im
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.528 * [backup-simplify]: Simplify (- 0) into 0
1.529 * [backup-simplify]: Simplify (+ 0 0) into 0
1.529 * [taylor]: Taking taylor expansion of 0 in im
1.529 * [backup-simplify]: Simplify 0 into 0
1.529 * [backup-simplify]: Simplify 0 into 0
1.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.530 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
1.530 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
1.531 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.531 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.532 * [backup-simplify]: Simplify (- 0) into 0
1.532 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.532 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.532 * [taylor]: Taking taylor expansion of 1/2 in im
1.532 * [backup-simplify]: Simplify 1/2 into 1/2
1.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.532 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.532 * [taylor]: Taking taylor expansion of im in im
1.532 * [backup-simplify]: Simplify 0 into 0
1.532 * [backup-simplify]: Simplify 1 into 1
1.533 * [backup-simplify]: Simplify (* 1 1) into 1
1.533 * [backup-simplify]: Simplify (/ 1 1) into 1
1.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.536 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
1.536 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
1.536 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
1.536 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
1.536 * [backup-simplify]: Simplify (+ 0 0) into 0
1.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.537 * [backup-simplify]: Simplify (- 0) into 0
1.538 * [backup-simplify]: Simplify (+ 0 0) into 0
1.538 * [taylor]: Taking taylor expansion of 0 in im
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 2 2 2)
1.539 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
1.539 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
1.539 * [taylor]: Taking taylor expansion of (hypot re im) in im
1.540 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
1.540 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
1.540 * [taylor]: Taking taylor expansion of (* re re) in im
1.540 * [taylor]: Taking taylor expansion of re in im
1.540 * [backup-simplify]: Simplify re into re
1.540 * [taylor]: Taking taylor expansion of re in im
1.540 * [backup-simplify]: Simplify re into re
1.540 * [taylor]: Taking taylor expansion of (* im im) in im
1.540 * [taylor]: Taking taylor expansion of im in im
1.540 * [backup-simplify]: Simplify 0 into 0
1.540 * [backup-simplify]: Simplify 1 into 1
1.540 * [taylor]: Taking taylor expansion of im in im
1.540 * [backup-simplify]: Simplify 0 into 0
1.540 * [backup-simplify]: Simplify 1 into 1
1.540 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.540 * [backup-simplify]: Simplify (* 0 0) into 0
1.540 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.540 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.540 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.541 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.541 * [backup-simplify]: Simplify (+ 0 0) into 0
1.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.541 * [taylor]: Taking taylor expansion of (hypot re im) in re
1.541 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
1.541 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
1.541 * [taylor]: Taking taylor expansion of (* re re) in re
1.541 * [taylor]: Taking taylor expansion of re in re
1.541 * [backup-simplify]: Simplify 0 into 0
1.541 * [backup-simplify]: Simplify 1 into 1
1.541 * [taylor]: Taking taylor expansion of re in re
1.541 * [backup-simplify]: Simplify 0 into 0
1.541 * [backup-simplify]: Simplify 1 into 1
1.541 * [taylor]: Taking taylor expansion of (* im im) in re
1.541 * [taylor]: Taking taylor expansion of im in re
1.541 * [backup-simplify]: Simplify im into im
1.541 * [taylor]: Taking taylor expansion of im in re
1.541 * [backup-simplify]: Simplify im into im
1.541 * [backup-simplify]: Simplify (* 0 0) into 0
1.542 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.542 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.542 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.542 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.542 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.542 * [backup-simplify]: Simplify (+ 0 0) into 0
1.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.542 * [taylor]: Taking taylor expansion of (hypot re im) in re
1.543 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
1.543 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
1.543 * [taylor]: Taking taylor expansion of (* re re) in re
1.543 * [taylor]: Taking taylor expansion of re in re
1.543 * [backup-simplify]: Simplify 0 into 0
1.543 * [backup-simplify]: Simplify 1 into 1
1.543 * [taylor]: Taking taylor expansion of re in re
1.543 * [backup-simplify]: Simplify 0 into 0
1.543 * [backup-simplify]: Simplify 1 into 1
1.543 * [taylor]: Taking taylor expansion of (* im im) in re
1.543 * [taylor]: Taking taylor expansion of im in re
1.543 * [backup-simplify]: Simplify im into im
1.543 * [taylor]: Taking taylor expansion of im in re
1.543 * [backup-simplify]: Simplify im into im
1.543 * [backup-simplify]: Simplify (* 0 0) into 0
1.543 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.543 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.543 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.544 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.544 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.544 * [backup-simplify]: Simplify (+ 0 0) into 0
1.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.544 * [taylor]: Taking taylor expansion of im in im
1.544 * [backup-simplify]: Simplify 0 into 0
1.544 * [backup-simplify]: Simplify 1 into 1
1.544 * [backup-simplify]: Simplify 0 into 0
1.544 * [taylor]: Taking taylor expansion of 0 in im
1.544 * [backup-simplify]: Simplify 0 into 0
1.544 * [backup-simplify]: Simplify 0 into 0
1.544 * [backup-simplify]: Simplify 1 into 1
1.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
1.545 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.545 * [backup-simplify]: Simplify (+ 1 0) into 1
1.545 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.546 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.546 * [taylor]: Taking taylor expansion of 1/2 in im
1.546 * [backup-simplify]: Simplify 1/2 into 1/2
1.546 * [taylor]: Taking taylor expansion of im in im
1.546 * [backup-simplify]: Simplify 0 into 0
1.546 * [backup-simplify]: Simplify 1 into 1
1.546 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.546 * [backup-simplify]: Simplify 0 into 0
1.546 * [backup-simplify]: Simplify 0 into 0
1.546 * [backup-simplify]: Simplify 0 into 0
1.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
1.547 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.548 * [backup-simplify]: Simplify (+ 0 0) into 0
1.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.548 * [taylor]: Taking taylor expansion of 0 in im
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.549 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
1.549 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
1.549 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
1.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
1.549 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
1.549 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
1.549 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.549 * [taylor]: Taking taylor expansion of re in im
1.549 * [backup-simplify]: Simplify re into re
1.549 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.549 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.549 * [taylor]: Taking taylor expansion of re in im
1.549 * [backup-simplify]: Simplify re into re
1.549 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.549 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
1.549 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.549 * [taylor]: Taking taylor expansion of im in im
1.549 * [backup-simplify]: Simplify 0 into 0
1.549 * [backup-simplify]: Simplify 1 into 1
1.549 * [backup-simplify]: Simplify (/ 1 1) into 1
1.549 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.549 * [taylor]: Taking taylor expansion of im in im
1.549 * [backup-simplify]: Simplify 0 into 0
1.549 * [backup-simplify]: Simplify 1 into 1
1.549 * [backup-simplify]: Simplify (/ 1 1) into 1
1.550 * [backup-simplify]: Simplify (* 1 1) into 1
1.550 * [backup-simplify]: Simplify (+ 0 1) into 1
1.550 * [backup-simplify]: Simplify (sqrt 1) into 1
1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.552 * [backup-simplify]: Simplify (+ 0 0) into 0
1.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.552 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
1.552 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
1.552 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
1.552 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
1.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.552 * [taylor]: Taking taylor expansion of re in re
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify 1 into 1
1.552 * [backup-simplify]: Simplify (/ 1 1) into 1
1.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.552 * [taylor]: Taking taylor expansion of re in re
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify 1 into 1
1.553 * [backup-simplify]: Simplify (/ 1 1) into 1
1.553 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
1.553 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.553 * [taylor]: Taking taylor expansion of im in re
1.553 * [backup-simplify]: Simplify im into im
1.553 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.553 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.553 * [taylor]: Taking taylor expansion of im in re
1.553 * [backup-simplify]: Simplify im into im
1.553 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.553 * [backup-simplify]: Simplify (* 1 1) into 1
1.553 * [backup-simplify]: Simplify (+ 1 0) into 1
1.554 * [backup-simplify]: Simplify (sqrt 1) into 1
1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.555 * [backup-simplify]: Simplify (+ 0 0) into 0
1.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.555 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
1.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
1.555 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
1.555 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
1.556 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.556 * [taylor]: Taking taylor expansion of re in re
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 1 into 1
1.556 * [backup-simplify]: Simplify (/ 1 1) into 1
1.556 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.556 * [taylor]: Taking taylor expansion of re in re
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 1 into 1
1.556 * [backup-simplify]: Simplify (/ 1 1) into 1
1.556 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
1.556 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.556 * [taylor]: Taking taylor expansion of im in re
1.556 * [backup-simplify]: Simplify im into im
1.556 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.556 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.556 * [taylor]: Taking taylor expansion of im in re
1.556 * [backup-simplify]: Simplify im into im
1.556 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.556 * [backup-simplify]: Simplify (* 1 1) into 1
1.557 * [backup-simplify]: Simplify (+ 1 0) into 1
1.557 * [backup-simplify]: Simplify (sqrt 1) into 1
1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.558 * [backup-simplify]: Simplify (+ 0 0) into 0
1.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.559 * [taylor]: Taking taylor expansion of 1 in im
1.559 * [backup-simplify]: Simplify 1 into 1
1.559 * [taylor]: Taking taylor expansion of 0 in im
1.559 * [backup-simplify]: Simplify 0 into 0
1.559 * [backup-simplify]: Simplify 1 into 1
1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.561 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
1.561 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.567 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.567 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.568 * [taylor]: Taking taylor expansion of 1/2 in im
1.568 * [backup-simplify]: Simplify 1/2 into 1/2
1.568 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.568 * [taylor]: Taking taylor expansion of im in im
1.568 * [backup-simplify]: Simplify 0 into 0
1.568 * [backup-simplify]: Simplify 1 into 1
1.568 * [backup-simplify]: Simplify (* 1 1) into 1
1.568 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.569 * [backup-simplify]: Simplify 0 into 0
1.569 * [backup-simplify]: Simplify 0 into 0
1.569 * [backup-simplify]: Simplify 0 into 0
1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.571 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
1.571 * [backup-simplify]: Simplify (+ 0 0) into 0
1.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.571 * [taylor]: Taking taylor expansion of 0 in im
1.572 * [backup-simplify]: Simplify 0 into 0
1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.573 * [backup-simplify]: Simplify 0 into 0
1.573 * [backup-simplify]: Simplify 0 into 0
1.573 * [backup-simplify]: Simplify 0 into 0
1.573 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.573 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
1.573 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
1.573 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
1.573 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
1.573 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
1.573 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
1.573 * [taylor]: Taking taylor expansion of (/ -1 re) in im
1.573 * [taylor]: Taking taylor expansion of -1 in im
1.573 * [backup-simplify]: Simplify -1 into -1
1.573 * [taylor]: Taking taylor expansion of re in im
1.573 * [backup-simplify]: Simplify re into re
1.573 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
1.573 * [taylor]: Taking taylor expansion of (/ -1 re) in im
1.573 * [taylor]: Taking taylor expansion of -1 in im
1.573 * [backup-simplify]: Simplify -1 into -1
1.573 * [taylor]: Taking taylor expansion of re in im
1.573 * [backup-simplify]: Simplify re into re
1.573 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
1.573 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
1.573 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.573 * [taylor]: Taking taylor expansion of -1 in im
1.573 * [backup-simplify]: Simplify -1 into -1
1.573 * [taylor]: Taking taylor expansion of im in im
1.573 * [backup-simplify]: Simplify 0 into 0
1.573 * [backup-simplify]: Simplify 1 into 1
1.574 * [backup-simplify]: Simplify (/ -1 1) into -1
1.574 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.574 * [taylor]: Taking taylor expansion of -1 in im
1.574 * [backup-simplify]: Simplify -1 into -1
1.574 * [taylor]: Taking taylor expansion of im in im
1.574 * [backup-simplify]: Simplify 0 into 0
1.574 * [backup-simplify]: Simplify 1 into 1
1.574 * [backup-simplify]: Simplify (/ -1 1) into -1
1.574 * [backup-simplify]: Simplify (* -1 -1) into 1
1.574 * [backup-simplify]: Simplify (+ 0 1) into 1
1.575 * [backup-simplify]: Simplify (sqrt 1) into 1
1.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.576 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.576 * [backup-simplify]: Simplify (+ 0 0) into 0
1.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.576 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
1.577 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
1.577 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
1.577 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
1.577 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.577 * [taylor]: Taking taylor expansion of -1 in re
1.577 * [backup-simplify]: Simplify -1 into -1
1.577 * [taylor]: Taking taylor expansion of re in re
1.577 * [backup-simplify]: Simplify 0 into 0
1.577 * [backup-simplify]: Simplify 1 into 1
1.577 * [backup-simplify]: Simplify (/ -1 1) into -1
1.577 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.577 * [taylor]: Taking taylor expansion of -1 in re
1.577 * [backup-simplify]: Simplify -1 into -1
1.577 * [taylor]: Taking taylor expansion of re in re
1.577 * [backup-simplify]: Simplify 0 into 0
1.577 * [backup-simplify]: Simplify 1 into 1
1.577 * [backup-simplify]: Simplify (/ -1 1) into -1
1.577 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
1.577 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.577 * [taylor]: Taking taylor expansion of -1 in re
1.577 * [backup-simplify]: Simplify -1 into -1
1.577 * [taylor]: Taking taylor expansion of im in re
1.577 * [backup-simplify]: Simplify im into im
1.577 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.577 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.578 * [taylor]: Taking taylor expansion of -1 in re
1.578 * [backup-simplify]: Simplify -1 into -1
1.578 * [taylor]: Taking taylor expansion of im in re
1.578 * [backup-simplify]: Simplify im into im
1.578 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.578 * [backup-simplify]: Simplify (* -1 -1) into 1
1.578 * [backup-simplify]: Simplify (+ 1 0) into 1
1.578 * [backup-simplify]: Simplify (sqrt 1) into 1
1.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.580 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.580 * [backup-simplify]: Simplify (+ 0 0) into 0
1.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.580 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
1.580 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
1.580 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
1.580 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
1.580 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.580 * [taylor]: Taking taylor expansion of -1 in re
1.580 * [backup-simplify]: Simplify -1 into -1
1.580 * [taylor]: Taking taylor expansion of re in re
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify 1 into 1
1.581 * [backup-simplify]: Simplify (/ -1 1) into -1
1.581 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.581 * [taylor]: Taking taylor expansion of -1 in re
1.581 * [backup-simplify]: Simplify -1 into -1
1.581 * [taylor]: Taking taylor expansion of re in re
1.581 * [backup-simplify]: Simplify 0 into 0
1.581 * [backup-simplify]: Simplify 1 into 1
1.581 * [backup-simplify]: Simplify (/ -1 1) into -1
1.581 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
1.581 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.581 * [taylor]: Taking taylor expansion of -1 in re
1.581 * [backup-simplify]: Simplify -1 into -1
1.581 * [taylor]: Taking taylor expansion of im in re
1.581 * [backup-simplify]: Simplify im into im
1.581 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.581 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.581 * [taylor]: Taking taylor expansion of -1 in re
1.581 * [backup-simplify]: Simplify -1 into -1
1.581 * [taylor]: Taking taylor expansion of im in re
1.581 * [backup-simplify]: Simplify im into im
1.581 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.581 * [backup-simplify]: Simplify (* -1 -1) into 1
1.582 * [backup-simplify]: Simplify (+ 1 0) into 1
1.582 * [backup-simplify]: Simplify (sqrt 1) into 1
1.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.583 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.583 * [backup-simplify]: Simplify (+ 0 0) into 0
1.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.584 * [taylor]: Taking taylor expansion of 1 in im
1.584 * [backup-simplify]: Simplify 1 into 1
1.584 * [taylor]: Taking taylor expansion of 0 in im
1.584 * [backup-simplify]: Simplify 0 into 0
1.584 * [backup-simplify]: Simplify 1 into 1
1.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.586 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
1.586 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
1.586 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.587 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.587 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.587 * [taylor]: Taking taylor expansion of 1/2 in im
1.587 * [backup-simplify]: Simplify 1/2 into 1/2
1.587 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.587 * [taylor]: Taking taylor expansion of im in im
1.587 * [backup-simplify]: Simplify 0 into 0
1.587 * [backup-simplify]: Simplify 1 into 1
1.587 * [backup-simplify]: Simplify (* 1 1) into 1
1.587 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.588 * [backup-simplify]: Simplify 0 into 0
1.588 * [backup-simplify]: Simplify 0 into 0
1.588 * [backup-simplify]: Simplify 0 into 0
1.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.590 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
1.590 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
1.590 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
1.590 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
1.590 * [backup-simplify]: Simplify (+ 0 0) into 0
1.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.591 * [taylor]: Taking taylor expansion of 0 in im
1.591 * [backup-simplify]: Simplify 0 into 0
1.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.592 * [backup-simplify]: Simplify 0 into 0
1.592 * [backup-simplify]: Simplify 0 into 0
1.592 * [backup-simplify]: Simplify 0 into 0
1.592 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.592 * * * [progress]: simplifying candidates
1.592 * [simplify]: Simplifying:
  (expm1 (+ re (* (sqrt 1) (hypot re im))))
  (log1p (+ re (* (sqrt 1) (hypot re im))))
  (* (exp re) (exp (* (sqrt 1) (hypot re im))))
  (log (+ re (* (sqrt 1) (hypot re im))))
  (exp (+ re (* (sqrt 1) (hypot re im))))
  (* (cbrt (+ re (* (sqrt 1) (hypot re im)))) (cbrt (+ re (* (sqrt 1) (hypot re im)))))
  (cbrt (+ re (* (sqrt 1) (hypot re im))))
  (* (* (+ re (* (sqrt 1) (hypot re im))) (+ re (* (sqrt 1) (hypot re im)))) (+ re (* (sqrt 1) (hypot re im))))
  (sqrt (+ re (* (sqrt 1) (hypot re im))))
  (sqrt (+ re (* (sqrt 1) (hypot re im))))
  (+ (pow re 3) (pow (* (sqrt 1) (hypot re im)) 3))
  (+ (* re re) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re (* (sqrt 1) (hypot re im)))))
  (- (* re re) (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))))
  (- re (* (sqrt 1) (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)
1.592 * [simplify]: Sending expressions to egg_math:
 (expm1 (+ h0 (* (sqrt 1) (hypot h0 h1))))
 (log1p (+ h0 (* (sqrt 1) (hypot h0 h1))))
 (* (exp h0) (exp (* (sqrt 1) (hypot h0 h1))))
 (log (+ h0 (* (sqrt 1) (hypot h0 h1))))
 (exp (+ h0 (* (sqrt 1) (hypot h0 h1))))
 (* (cbrt (+ h0 (* (sqrt 1) (hypot h0 h1)))) (cbrt (+ h0 (* (sqrt 1) (hypot h0 h1)))))
 (cbrt (+ h0 (* (sqrt 1) (hypot h0 h1))))
 (* (* (+ h0 (* (sqrt 1) (hypot h0 h1))) (+ h0 (* (sqrt 1) (hypot h0 h1)))) (+ h0 (* (sqrt 1) (hypot h0 h1))))
 (sqrt (+ h0 (* (sqrt 1) (hypot h0 h1))))
 (sqrt (+ h0 (* (sqrt 1) (hypot h0 h1))))
 (+ (pow h0 3) (pow (* (sqrt 1) (hypot h0 h1)) 3))
 (+ (* h0 h0) (- (* (* (sqrt 1) (hypot h0 h1)) (* (sqrt 1) (hypot h0 h1))) (* h0 (* (sqrt 1) (hypot h0 h1)))))
 (- (* h0 h0) (* (* (sqrt 1) (hypot h0 h1)) (* (sqrt 1) (hypot h0 h1))))
 (- h0 (* (sqrt 1) (hypot h0 h1)))
 (expm1 (hypot h0 h1))
 (log1p (hypot h0 h1))
 (+ (* h0 h0) (* h1 h1))
 (log (hypot h0 h1))
 (exp (hypot h0 h1))
 (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))
 (cbrt (hypot h0 h1))
 (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1))
 (sqrt (hypot h0 h1))
 (sqrt (hypot h0 h1))
 (+ h0 h1)
 (* 2 h0)
 0
 h1
 h0
 (* -1 h0)
1.595 * * [simplify]: iteration  0 :  110  enodes  (cost  123 )
1.598 * * [simplify]: iteration  1 :  299  enodes  (cost  107 )
1.604 * * [simplify]: iteration  2 :  873  enodes  (cost  106 )
1.622 * * [simplify]: iteration  3 :  3652  enodes  (cost  103 )
1.695 * * [simplify]: iteration  4 :  5001  enodes  (cost  103 )
1.696 * * * [progress]: adding candidates to table
1.804 * [progress]: [Phase 3 of 3] Extracting.
1.805 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (expm1 (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt 1) (hypot re im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))))>)
1.806 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
1.806 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (expm1 (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt 1) (hypot re im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))))>)
1.833 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (expm1 (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt 1) (hypot re im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))))>)
1.865 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (expm1 (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt 1) (hypot re im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))))>)
1.912 * * * [regime]: Found split indices: #<option (#s(si 6 45) #s(si 5 57) #s(si 6 70) #s(si 5 255))>
1.914 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (expm1 (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt 1) (hypot re im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))))>)
2.053 * [regimes]: Found splitpoints: (#s(sp 6 re -1.7761354360071877e+40) #s(sp 5 re -1.0136200979503546e-07) #s(sp 6 re -1.941232155667052e-71) #s(sp 5 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (expm1 (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt 1) (hypot re im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))))>)
2.053 * [simplify]: Simplifying:
  (if (<= re -1.7761354360071877e+40) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (if (<= re -1.0136200979503546e-07) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt 1) (hypot re im))))))) (if (<= re -1.941232155667052e-71) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (* 0.5 (sqrt (* 2.0 (* 1 (+ re (* (sqrt 1) (hypot re im))))))))))
2.053 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 h1) (* h2 (sqrt (* h3 (/ (pow h4 2) (- (hypot h0 h4) h0))))) (if (<= h0 h5) (* h2 (sqrt (* h3 (* 1 (+ h0 (* (sqrt 1) (hypot h0 h4))))))) (if (<= h0 h6) (* h2 (sqrt (* h3 (/ (pow h4 2) (- (hypot h0 h4) h0))))) (* h2 (sqrt (* h3 (* 1 (+ h0 (* (sqrt 1) (hypot h0 h4))))))))))
2.054 * * [simplify]: iteration  0 :  41  enodes  (cost  30 )
2.054 * * [simplify]: iteration  1 :  46  enodes  (cost  15 )
2.054 * * [simplify]: iteration  2 :  49  enodes  (cost  15 )
2.055 * * [simplify]: iteration  3 :  49  enodes  (cost  15 )
3.184 * [regime-testing]: Baseline error score: 13.186887031937362
3.185 * [regime-testing]: Oracle error score: 7.622215045075501
3.186 * [regime-testing]: End program error score: 11.951811581423122
3.244 * [regime-testing]: Target error score: 33.41968516434671