5.515 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.026 * * * [progress]: [2/2] Setting up program.
0.030 * [progress]: [Phase 2 of 3] Improving.
0.031 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.031 * * [simplify]: Extracting # 0 : cost  0
0.031 * * [simplify]: Extracting # 1 : cost  0
0.031 * * [simplify]: Extracting # 2 : cost  0
0.031 * * [simplify]: Extracting # 3 : cost  0
0.031 * * [simplify]: Extracting # 4 : cost  0
0.031 * * [simplify]: Extracting # 5 : cost  0
0.031 * * [simplify]: iteration  0 :  6  enodes  (cost  8 )
0.033 * * [simplify]: Extracting # 0 : cost  0
0.033 * * [simplify]: iteration  1 :  7  enodes  (cost  8 )
0.035 * * [simplify]: Extracting # 0 : cost  0
0.036 * * [simplify]: iteration done:  7  enodes  (cost  8 )
0.036 * [simplify]: Simplified to:
  (sqrt (+ (* re re) (* im im)))
0.036 * * [progress]: iteration 1 / 4
0.036 * * * [progress]: picking best candidate
0.040 * * * * [pick]: Picked  #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.040 * * * [progress]: localizing error
0.054 * * * [progress]: generating rewritten candidates
0.054 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.088 * * * [progress]: generating series expansions
0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.088 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.088 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.088 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.088 * [taylor]: Taking taylor expansion of re in im
0.088 * [backup-simplify]: Simplify re into re
0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.088 * [taylor]: Taking taylor expansion of im in im
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.089 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.089 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.089 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.089 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.089 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.089 * [taylor]: Taking taylor expansion of re in re
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.089 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.089 * [taylor]: Taking taylor expansion of im in re
0.089 * [backup-simplify]: Simplify im into im
0.090 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.090 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.090 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.090 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.090 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.090 * [taylor]: Taking taylor expansion of re in re
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.090 * [taylor]: Taking taylor expansion of im in re
0.090 * [backup-simplify]: Simplify im into im
0.090 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.090 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.091 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.091 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.091 * [taylor]: Taking taylor expansion of im in im
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [taylor]: Taking taylor expansion of 0 in im
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.092 * [backup-simplify]: Simplify (* 1 1) into 1
0.092 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.092 * [backup-simplify]: Simplify (+ 1 0) into 1
0.093 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.093 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.093 * [taylor]: Taking taylor expansion of 1/2 in im
0.093 * [backup-simplify]: Simplify 1/2 into 1/2
0.093 * [taylor]: Taking taylor expansion of im in im
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.094 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.095 * [taylor]: Taking taylor expansion of 0 in im
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.096 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.096 * [taylor]: Taking taylor expansion of im in im
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (* 1 1) into 1
0.096 * [backup-simplify]: Simplify (/ 1 1) into 1
0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.096 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.096 * [taylor]: Taking taylor expansion of re in im
0.096 * [backup-simplify]: Simplify re into re
0.097 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.097 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.097 * [backup-simplify]: Simplify (+ 1 0) into 1
0.097 * [backup-simplify]: Simplify (sqrt 1) into 1
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.099 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.099 * [taylor]: Taking taylor expansion of im in re
0.099 * [backup-simplify]: Simplify im into im
0.099 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.099 * [taylor]: Taking taylor expansion of re in re
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (* 1 1) into 1
0.100 * [backup-simplify]: Simplify (/ 1 1) into 1
0.100 * [backup-simplify]: Simplify (+ 0 1) into 1
0.100 * [backup-simplify]: Simplify (sqrt 1) into 1
0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
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 (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* 1 1) into 1
0.102 * [backup-simplify]: Simplify (/ 1 1) into 1
0.103 * [backup-simplify]: Simplify (+ 0 1) into 1
0.103 * [backup-simplify]: Simplify (sqrt 1) into 1
0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.104 * [taylor]: Taking taylor expansion of 1 in im
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [taylor]: Taking taylor expansion of 0 in im
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.106 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.106 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.106 * [taylor]: Taking taylor expansion of 1/2 in im
0.106 * [backup-simplify]: Simplify 1/2 into 1/2
0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.107 * [taylor]: Taking taylor expansion of im in im
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.121 * [taylor]: Taking taylor expansion of 0 in im
0.121 * [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
0.124 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.124 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.124 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.124 * [taylor]: Taking taylor expansion of im in im
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.125 * [backup-simplify]: Simplify (* 1 1) into 1
0.125 * [backup-simplify]: Simplify (/ 1 1) into 1
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.125 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.125 * [taylor]: Taking taylor expansion of re in im
0.125 * [backup-simplify]: Simplify re into re
0.125 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.126 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.126 * [backup-simplify]: Simplify (+ 1 0) 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
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.130 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.130 * [taylor]: Taking taylor expansion of im in re
0.130 * [backup-simplify]: Simplify im into im
0.130 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.130 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.130 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.130 * [taylor]: Taking taylor expansion of re in re
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (* 1 1) into 1
0.131 * [backup-simplify]: Simplify (/ 1 1) into 1
0.131 * [backup-simplify]: Simplify (+ 0 1) into 1
0.132 * [backup-simplify]: Simplify (sqrt 1) into 1
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.134 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.134 * [taylor]: Taking taylor expansion of im in re
0.135 * [backup-simplify]: Simplify im into im
0.135 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.135 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.135 * [taylor]: Taking taylor expansion of re in re
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (* 1 1) into 1
0.136 * [backup-simplify]: Simplify (/ 1 1) into 1
0.136 * [backup-simplify]: Simplify (+ 0 1) into 1
0.137 * [backup-simplify]: Simplify (sqrt 1) into 1
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.139 * [taylor]: Taking taylor expansion of 1 in im
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [taylor]: Taking taylor expansion of 0 in im
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.143 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.143 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.143 * [taylor]: Taking taylor expansion of 1/2 in im
0.143 * [backup-simplify]: Simplify 1/2 into 1/2
0.143 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.143 * [taylor]: Taking taylor expansion of im in im
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (* 1 1) into 1
0.144 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.149 * [taylor]: Taking taylor expansion of 0 in im
0.149 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.152 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.152 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.152 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.152 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.152 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.152 * [taylor]: Taking taylor expansion of re in im
0.152 * [backup-simplify]: Simplify re into re
0.152 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.152 * [taylor]: Taking taylor expansion of im in im
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.152 * [taylor]: Taking taylor expansion of re in re
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.152 * [taylor]: Taking taylor expansion of im in re
0.152 * [backup-simplify]: Simplify im into im
0.153 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.153 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.153 * [taylor]: Taking taylor expansion of re in re
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.153 * [taylor]: Taking taylor expansion of im in re
0.153 * [backup-simplify]: Simplify im into im
0.153 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.153 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.153 * [taylor]: Taking taylor expansion of im in im
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.154 * [backup-simplify]: Simplify (+ 0 0) into 0
0.154 * [taylor]: Taking taylor expansion of 0 in im
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify (* 1 1) into 1
0.155 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.155 * [backup-simplify]: Simplify (+ 1 0) into 1
0.155 * [taylor]: Taking taylor expansion of 1 in im
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (* 1 1) into 1
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.157 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [taylor]: Taking taylor expansion of 0 in im
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.161 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) 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 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.162 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.162 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.162 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.162 * [taylor]: Taking taylor expansion of im in im
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.163 * [backup-simplify]: Simplify (* 1 1) into 1
0.163 * [backup-simplify]: Simplify (/ 1 1) into 1
0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.163 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.163 * [taylor]: Taking taylor expansion of re in im
0.163 * [backup-simplify]: Simplify re into re
0.163 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.163 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.164 * [taylor]: Taking taylor expansion of im in re
0.164 * [backup-simplify]: Simplify im into im
0.164 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.164 * [taylor]: Taking taylor expansion of re in re
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (* 1 1) into 1
0.165 * [backup-simplify]: Simplify (/ 1 1) into 1
0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.165 * [taylor]: Taking taylor expansion of im in re
0.165 * [backup-simplify]: Simplify im into im
0.165 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.165 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.165 * [taylor]: Taking taylor expansion of re in re
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 1 into 1
0.166 * [backup-simplify]: Simplify (* 1 1) into 1
0.166 * [backup-simplify]: Simplify (/ 1 1) into 1
0.167 * [backup-simplify]: Simplify (+ 0 1) into 1
0.167 * [taylor]: Taking taylor expansion of 1 in im
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.169 * [backup-simplify]: Simplify (+ 0 0) into 0
0.169 * [taylor]: Taking taylor expansion of 0 in im
0.169 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.171 * [taylor]: Taking taylor expansion of im in im
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (* 1 1) into 1
0.172 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.175 * [taylor]: Taking taylor expansion of 0 in im
0.175 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [taylor]: Taking taylor expansion of 0 in im
0.181 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
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 0 into 0
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.184 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.184 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.184 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.184 * [taylor]: Taking taylor expansion of im in im
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (* 1 1) into 1
0.185 * [backup-simplify]: Simplify (/ 1 1) into 1
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.185 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.185 * [taylor]: Taking taylor expansion of re in im
0.185 * [backup-simplify]: Simplify re into re
0.185 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.185 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.185 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.185 * [taylor]: Taking taylor expansion of im in re
0.185 * [backup-simplify]: Simplify im into im
0.185 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.185 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.185 * [taylor]: Taking taylor expansion of re in re
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (* 1 1) into 1
0.186 * [backup-simplify]: Simplify (/ 1 1) into 1
0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.186 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.186 * [taylor]: Taking taylor expansion of im in re
0.186 * [backup-simplify]: Simplify im into im
0.186 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.187 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.187 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.187 * [taylor]: Taking taylor expansion of re in re
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.187 * [backup-simplify]: Simplify (* 1 1) into 1
0.188 * [backup-simplify]: Simplify (/ 1 1) into 1
0.188 * [backup-simplify]: Simplify (+ 0 1) into 1
0.188 * [taylor]: Taking taylor expansion of 1 in im
0.188 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.190 * [backup-simplify]: Simplify (+ 0 0) into 0
0.190 * [taylor]: Taking taylor expansion of 0 in im
0.190 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.192 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.192 * [taylor]: Taking taylor expansion of im in im
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (* 1 1) into 1
0.193 * [backup-simplify]: Simplify (/ 1 1) into 1
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [taylor]: Taking taylor expansion of 0 in im
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (+ 0 0) into 0
0.201 * [taylor]: Taking taylor expansion of 0 in im
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.203 * * * [progress]: simplifying candidates
0.204 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
0.205 * * [simplify]: Extracting # 0 : cost  0
0.205 * * [simplify]: Extracting # 1 : cost  0
0.205 * * [simplify]: Extracting # 2 : cost  0
0.206 * * [simplify]: Extracting # 3 : cost  0
0.206 * * [simplify]: Extracting # 4 : cost  0
0.206 * * [simplify]: Extracting # 5 : cost  0
0.206 * * [simplify]: iteration  0 :  48  enodes  (cost  379 )
0.227 * * [simplify]: Extracting # 0 : cost  0
0.227 * * [simplify]: Extracting # 1 : cost  0
0.228 * * [simplify]: Extracting # 2 : cost  0
0.228 * * [simplify]: Extracting # 3 : cost  0
0.228 * * [simplify]: Extracting # 4 : cost  0
0.228 * * [simplify]: iteration  1 :  124  enodes  (cost  347 )
0.648 * * [simplify]: Extracting # 0 : cost  0
0.648 * * [simplify]: Extracting # 1 : cost  0
0.649 * * [simplify]: Extracting # 2 : cost  0
0.649 * * [simplify]: Extracting # 3 : cost  0
0.649 * * [simplify]: Extracting # 4 : cost  0
0.650 * * [simplify]: iteration  2 :  343  enodes  (cost  295 )
0.802 * * [simplify]: Extracting # 0 : cost  0
0.803 * * [simplify]: Extracting # 1 : cost  0
0.803 * * [simplify]: Extracting # 2 : cost  0
0.804 * * [simplify]: Extracting # 3 : cost  0
0.805 * * [simplify]: Extracting # 4 : cost  0
0.806 * * [simplify]: iteration  3 :  968  enodes  (cost  295 )
1.616 * * [simplify]: Extracting # 0 : cost  0
1.622 * * [simplify]: Extracting # 1 : cost  0
1.626 * * [simplify]: Extracting # 2 : cost  0
1.631 * * [simplify]: Extracting # 3 : cost  0
1.635 * * [simplify]: Extracting # 4 : cost  0
1.640 * * [simplify]: iteration  4 :  2668  enodes  (cost  295 )
2.887 * * [simplify]: Extracting # 0 : cost  0
2.891 * * [simplify]: Extracting # 1 : cost  0
2.896 * * [simplify]: Extracting # 2 : cost  0
2.901 * * [simplify]: Extracting # 3 : cost  0
2.906 * * [simplify]: Extracting # 4 : cost  0
2.911 * * [simplify]: iteration done:  5000  enodes  (cost  295 )
2.911 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (* re re) (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (pow (+ (* re re) (* im im)) 3)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow im 6) (pow re 6))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (- (* re re) (* im im))
  im
  re
  (- re)
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
2.911 * * * [progress]: adding candidates to table
3.019 * * [progress]: iteration 2 / 4
3.019 * * * [progress]: picking best candidate
3.040 * * * * [pick]: Picked  #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>
3.040 * * * [progress]: localizing error
3.062 * * * [progress]: generating rewritten candidates
3.062 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
3.073 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
3.081 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.140 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
3.153 * * * [progress]: generating series expansions
3.153 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
3.153 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.153 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.153 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.153 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.153 * [taylor]: Taking taylor expansion of re in im
3.153 * [backup-simplify]: Simplify re into re
3.153 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.153 * [taylor]: Taking taylor expansion of im in im
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 1 into 1
3.154 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.154 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.154 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.154 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.154 * [backup-simplify]: Simplify (+ 0 0) into 0
3.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.154 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.154 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.154 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.154 * [taylor]: Taking taylor expansion of re in re
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 1 into 1
3.155 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.155 * [taylor]: Taking taylor expansion of im in re
3.155 * [backup-simplify]: Simplify im into im
3.155 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.155 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.155 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.155 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.155 * [backup-simplify]: Simplify (+ 0 0) into 0
3.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.155 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.155 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.155 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.155 * [taylor]: Taking taylor expansion of re in re
3.155 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify 1 into 1
3.155 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.155 * [taylor]: Taking taylor expansion of im in re
3.155 * [backup-simplify]: Simplify im into im
3.155 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.155 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.156 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.156 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.156 * [backup-simplify]: Simplify (+ 0 0) into 0
3.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.156 * [taylor]: Taking taylor expansion of im in im
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 1 into 1
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [taylor]: Taking taylor expansion of 0 in im
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 1 into 1
3.156 * [backup-simplify]: Simplify (* 1 1) into 1
3.157 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.157 * [backup-simplify]: Simplify (+ 1 0) into 1
3.157 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.157 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.158 * [taylor]: Taking taylor expansion of 1/2 in im
3.158 * [backup-simplify]: Simplify 1/2 into 1/2
3.158 * [taylor]: Taking taylor expansion of im in im
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 1 into 1
3.158 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.159 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.160 * [backup-simplify]: Simplify (+ 0 0) into 0
3.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.160 * [taylor]: Taking taylor expansion of 0 in im
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.161 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.161 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.161 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.161 * [taylor]: Taking taylor expansion of im in im
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify 1 into 1
3.161 * [backup-simplify]: Simplify (* 1 1) into 1
3.161 * [backup-simplify]: Simplify (/ 1 1) into 1
3.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.161 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.161 * [taylor]: Taking taylor expansion of re in im
3.161 * [backup-simplify]: Simplify re into re
3.161 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.161 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.162 * [backup-simplify]: Simplify (+ 1 0) into 1
3.162 * [backup-simplify]: Simplify (sqrt 1) into 1
3.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.163 * [backup-simplify]: Simplify (+ 0 0) into 0
3.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.164 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.164 * [taylor]: Taking taylor expansion of im in re
3.164 * [backup-simplify]: Simplify im into im
3.164 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.164 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.164 * [taylor]: Taking taylor expansion of re in re
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 1 into 1
3.164 * [backup-simplify]: Simplify (* 1 1) into 1
3.164 * [backup-simplify]: Simplify (/ 1 1) into 1
3.165 * [backup-simplify]: Simplify (+ 0 1) into 1
3.165 * [backup-simplify]: Simplify (sqrt 1) into 1
3.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.166 * [backup-simplify]: Simplify (+ 0 0) into 0
3.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.167 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.167 * [taylor]: Taking taylor expansion of im in re
3.167 * [backup-simplify]: Simplify im into im
3.167 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.167 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.167 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.167 * [taylor]: Taking taylor expansion of re in re
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 1 into 1
3.167 * [backup-simplify]: Simplify (* 1 1) into 1
3.168 * [backup-simplify]: Simplify (/ 1 1) into 1
3.168 * [backup-simplify]: Simplify (+ 0 1) into 1
3.169 * [backup-simplify]: Simplify (sqrt 1) into 1
3.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.171 * [backup-simplify]: Simplify (+ 0 0) into 0
3.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.171 * [taylor]: Taking taylor expansion of 1 in im
3.171 * [backup-simplify]: Simplify 1 into 1
3.171 * [taylor]: Taking taylor expansion of 0 in im
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 1 into 1
3.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.173 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.175 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.175 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.175 * [taylor]: Taking taylor expansion of 1/2 in im
3.175 * [backup-simplify]: Simplify 1/2 into 1/2
3.175 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.175 * [taylor]: Taking taylor expansion of im in im
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 1 into 1
3.175 * [backup-simplify]: Simplify (* 1 1) into 1
3.176 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.180 * [backup-simplify]: Simplify (+ 0 0) into 0
3.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.181 * [taylor]: Taking taylor expansion of 0 in im
3.181 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.183 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.183 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.183 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.184 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.184 * [taylor]: Taking taylor expansion of im in im
3.184 * [backup-simplify]: Simplify 0 into 0
3.184 * [backup-simplify]: Simplify 1 into 1
3.184 * [backup-simplify]: Simplify (* 1 1) into 1
3.184 * [backup-simplify]: Simplify (/ 1 1) into 1
3.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.184 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.184 * [taylor]: Taking taylor expansion of re in im
3.184 * [backup-simplify]: Simplify re into re
3.185 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.185 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.185 * [backup-simplify]: Simplify (+ 1 0) into 1
3.186 * [backup-simplify]: Simplify (sqrt 1) into 1
3.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.187 * [backup-simplify]: Simplify (+ 0 0) into 0
3.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.188 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.188 * [taylor]: Taking taylor expansion of im in re
3.188 * [backup-simplify]: Simplify im into im
3.188 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.189 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.189 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.189 * [taylor]: Taking taylor expansion of re in re
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.189 * [backup-simplify]: Simplify (* 1 1) into 1
3.190 * [backup-simplify]: Simplify (/ 1 1) into 1
3.190 * [backup-simplify]: Simplify (+ 0 1) into 1
3.190 * [backup-simplify]: Simplify (sqrt 1) into 1
3.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.192 * [backup-simplify]: Simplify (+ 0 0) into 0
3.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.193 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.193 * [taylor]: Taking taylor expansion of im in re
3.193 * [backup-simplify]: Simplify im into im
3.193 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.193 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.193 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.193 * [taylor]: Taking taylor expansion of re in re
3.193 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 1 into 1
3.194 * [backup-simplify]: Simplify (* 1 1) into 1
3.194 * [backup-simplify]: Simplify (/ 1 1) into 1
3.198 * [backup-simplify]: Simplify (+ 0 1) into 1
3.199 * [backup-simplify]: Simplify (sqrt 1) into 1
3.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (+ 0 0) into 0
3.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.201 * [taylor]: Taking taylor expansion of 1 in im
3.201 * [backup-simplify]: Simplify 1 into 1
3.201 * [taylor]: Taking taylor expansion of 0 in im
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 1 into 1
3.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.202 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.203 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.203 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.203 * [taylor]: Taking taylor expansion of 1/2 in im
3.203 * [backup-simplify]: Simplify 1/2 into 1/2
3.203 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.203 * [taylor]: Taking taylor expansion of im in im
3.203 * [backup-simplify]: Simplify 0 into 0
3.203 * [backup-simplify]: Simplify 1 into 1
3.203 * [backup-simplify]: Simplify (* 1 1) into 1
3.203 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (+ 0 0) into 0
3.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.206 * [taylor]: Taking taylor expansion of 0 in im
3.206 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.208 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
3.208 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.208 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.208 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.208 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.208 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.208 * [taylor]: Taking taylor expansion of re in im
3.208 * [backup-simplify]: Simplify re into re
3.208 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.208 * [taylor]: Taking taylor expansion of im in im
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.208 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.208 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.209 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.209 * [backup-simplify]: Simplify (+ 0 0) into 0
3.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.209 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.209 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.209 * [taylor]: Taking taylor expansion of re in re
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.209 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.209 * [taylor]: Taking taylor expansion of im in re
3.209 * [backup-simplify]: Simplify im into im
3.209 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.209 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.209 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.209 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.210 * [backup-simplify]: Simplify (+ 0 0) into 0
3.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.210 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.210 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.210 * [taylor]: Taking taylor expansion of re in re
3.210 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify 1 into 1
3.210 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.210 * [taylor]: Taking taylor expansion of im in re
3.210 * [backup-simplify]: Simplify im into im
3.210 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.210 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.210 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.210 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.211 * [backup-simplify]: Simplify (+ 0 0) into 0
3.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.211 * [taylor]: Taking taylor expansion of im in im
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 1 into 1
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [taylor]: Taking taylor expansion of 0 in im
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 1 into 1
3.211 * [backup-simplify]: Simplify (* 1 1) into 1
3.211 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.212 * [backup-simplify]: Simplify (+ 1 0) into 1
3.212 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.212 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.212 * [taylor]: Taking taylor expansion of 1/2 in im
3.212 * [backup-simplify]: Simplify 1/2 into 1/2
3.212 * [taylor]: Taking taylor expansion of im in im
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 1 into 1
3.213 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.214 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.214 * [backup-simplify]: Simplify (+ 0 0) into 0
3.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.214 * [taylor]: Taking taylor expansion of 0 in im
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.215 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.215 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.215 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.215 * [taylor]: Taking taylor expansion of im in im
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 1 into 1
3.216 * [backup-simplify]: Simplify (* 1 1) into 1
3.216 * [backup-simplify]: Simplify (/ 1 1) into 1
3.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.216 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.216 * [taylor]: Taking taylor expansion of re in im
3.216 * [backup-simplify]: Simplify re into re
3.216 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.216 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.216 * [backup-simplify]: Simplify (+ 1 0) into 1
3.217 * [backup-simplify]: Simplify (sqrt 1) into 1
3.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.218 * [backup-simplify]: Simplify (+ 0 0) into 0
3.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.218 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.218 * [taylor]: Taking taylor expansion of im in re
3.218 * [backup-simplify]: Simplify im into im
3.218 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.218 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.218 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.218 * [taylor]: Taking taylor expansion of re in re
3.218 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 1 into 1
3.219 * [backup-simplify]: Simplify (* 1 1) into 1
3.219 * [backup-simplify]: Simplify (/ 1 1) into 1
3.219 * [backup-simplify]: Simplify (+ 0 1) into 1
3.220 * [backup-simplify]: Simplify (sqrt 1) into 1
3.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.221 * [backup-simplify]: Simplify (+ 0 0) into 0
3.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.221 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.221 * [taylor]: Taking taylor expansion of im in re
3.221 * [backup-simplify]: Simplify im into im
3.221 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.221 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.222 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.222 * [taylor]: Taking taylor expansion of re in re
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify 1 into 1
3.222 * [backup-simplify]: Simplify (* 1 1) into 1
3.222 * [backup-simplify]: Simplify (/ 1 1) into 1
3.222 * [backup-simplify]: Simplify (+ 0 1) into 1
3.223 * [backup-simplify]: Simplify (sqrt 1) into 1
3.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.224 * [backup-simplify]: Simplify (+ 0 0) into 0
3.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.224 * [taylor]: Taking taylor expansion of 1 in im
3.224 * [backup-simplify]: Simplify 1 into 1
3.224 * [taylor]: Taking taylor expansion of 0 in im
3.224 * [backup-simplify]: Simplify 0 into 0
3.224 * [backup-simplify]: Simplify 1 into 1
3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.225 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.226 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.226 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.226 * [taylor]: Taking taylor expansion of 1/2 in im
3.226 * [backup-simplify]: Simplify 1/2 into 1/2
3.226 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.226 * [taylor]: Taking taylor expansion of im in im
3.226 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify 1 into 1
3.227 * [backup-simplify]: Simplify (* 1 1) into 1
3.227 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.229 * [backup-simplify]: Simplify (+ 0 0) into 0
3.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.230 * [taylor]: Taking taylor expansion of 0 in im
3.230 * [backup-simplify]: Simplify 0 into 0
3.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.231 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.231 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.231 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.231 * [taylor]: Taking taylor expansion of im in im
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify 1 into 1
3.232 * [backup-simplify]: Simplify (* 1 1) into 1
3.232 * [backup-simplify]: Simplify (/ 1 1) into 1
3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.232 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.232 * [taylor]: Taking taylor expansion of re in im
3.232 * [backup-simplify]: Simplify re into re
3.232 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.232 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.232 * [backup-simplify]: Simplify (+ 1 0) into 1
3.233 * [backup-simplify]: Simplify (sqrt 1) into 1
3.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.234 * [backup-simplify]: Simplify (+ 0 0) into 0
3.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.234 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.234 * [taylor]: Taking taylor expansion of im in re
3.234 * [backup-simplify]: Simplify im into im
3.234 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.234 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.235 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.235 * [taylor]: Taking taylor expansion of re in re
3.235 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify 1 into 1
3.235 * [backup-simplify]: Simplify (* 1 1) into 1
3.235 * [backup-simplify]: Simplify (/ 1 1) into 1
3.235 * [backup-simplify]: Simplify (+ 0 1) into 1
3.236 * [backup-simplify]: Simplify (sqrt 1) into 1
3.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.237 * [backup-simplify]: Simplify (+ 0 0) into 0
3.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.237 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.237 * [taylor]: Taking taylor expansion of im in re
3.237 * [backup-simplify]: Simplify im into im
3.237 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.237 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.237 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.237 * [taylor]: Taking taylor expansion of re in re
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 1 into 1
3.238 * [backup-simplify]: Simplify (* 1 1) into 1
3.238 * [backup-simplify]: Simplify (/ 1 1) into 1
3.238 * [backup-simplify]: Simplify (+ 0 1) into 1
3.238 * [backup-simplify]: Simplify (sqrt 1) into 1
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.239 * [backup-simplify]: Simplify (+ 0 0) into 0
3.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.240 * [taylor]: Taking taylor expansion of 1 in im
3.240 * [backup-simplify]: Simplify 1 into 1
3.240 * [taylor]: Taking taylor expansion of 0 in im
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify 1 into 1
3.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.241 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.242 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.242 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.242 * [taylor]: Taking taylor expansion of 1/2 in im
3.242 * [backup-simplify]: Simplify 1/2 into 1/2
3.242 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.242 * [taylor]: Taking taylor expansion of im in im
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 1 into 1
3.242 * [backup-simplify]: Simplify (* 1 1) into 1
3.243 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.245 * [backup-simplify]: Simplify (+ 0 0) into 0
3.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.246 * [taylor]: Taking taylor expansion of 0 in im
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.247 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.247 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
3.247 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.247 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.247 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.247 * [taylor]: Taking taylor expansion of re in im
3.247 * [backup-simplify]: Simplify re into re
3.247 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.247 * [taylor]: Taking taylor expansion of im in im
3.247 * [backup-simplify]: Simplify 0 into 0
3.248 * [backup-simplify]: Simplify 1 into 1
3.248 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.248 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.248 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.248 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.248 * [backup-simplify]: Simplify (+ 0 0) into 0
3.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.248 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.248 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.248 * [taylor]: Taking taylor expansion of re in re
3.248 * [backup-simplify]: Simplify 0 into 0
3.248 * [backup-simplify]: Simplify 1 into 1
3.248 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.248 * [taylor]: Taking taylor expansion of im in re
3.248 * [backup-simplify]: Simplify im into im
3.249 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.249 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.249 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.249 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.249 * [backup-simplify]: Simplify (+ 0 0) into 0
3.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.249 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.249 * [taylor]: Taking taylor expansion of re in re
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify 1 into 1
3.249 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.249 * [taylor]: Taking taylor expansion of im in re
3.249 * [backup-simplify]: Simplify im into im
3.249 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.249 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.249 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.250 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.250 * [backup-simplify]: Simplify (+ 0 0) into 0
3.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.250 * [taylor]: Taking taylor expansion of im in im
3.250 * [backup-simplify]: Simplify 0 into 0
3.250 * [backup-simplify]: Simplify 1 into 1
3.250 * [backup-simplify]: Simplify 0 into 0
3.250 * [taylor]: Taking taylor expansion of 0 in im
3.250 * [backup-simplify]: Simplify 0 into 0
3.250 * [backup-simplify]: Simplify 0 into 0
3.250 * [backup-simplify]: Simplify 1 into 1
3.250 * [backup-simplify]: Simplify (* 1 1) into 1
3.251 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.251 * [backup-simplify]: Simplify (+ 1 0) into 1
3.251 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.251 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.251 * [taylor]: Taking taylor expansion of 1/2 in im
3.251 * [backup-simplify]: Simplify 1/2 into 1/2
3.251 * [taylor]: Taking taylor expansion of im in im
3.251 * [backup-simplify]: Simplify 0 into 0
3.251 * [backup-simplify]: Simplify 1 into 1
3.252 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 0 into 0
3.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.253 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.253 * [backup-simplify]: Simplify (+ 0 0) into 0
3.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.254 * [taylor]: Taking taylor expansion of 0 in im
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.255 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.255 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.255 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.255 * [taylor]: Taking taylor expansion of im in im
3.255 * [backup-simplify]: Simplify 0 into 0
3.255 * [backup-simplify]: Simplify 1 into 1
3.255 * [backup-simplify]: Simplify (* 1 1) into 1
3.255 * [backup-simplify]: Simplify (/ 1 1) into 1
3.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.255 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.255 * [taylor]: Taking taylor expansion of re in im
3.255 * [backup-simplify]: Simplify re into re
3.255 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.256 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.256 * [backup-simplify]: Simplify (+ 1 0) into 1
3.256 * [backup-simplify]: Simplify (sqrt 1) into 1
3.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.257 * [backup-simplify]: Simplify (+ 0 0) into 0
3.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.258 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.258 * [taylor]: Taking taylor expansion of im in re
3.258 * [backup-simplify]: Simplify im into im
3.258 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.258 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.258 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.258 * [taylor]: Taking taylor expansion of re in re
3.258 * [backup-simplify]: Simplify 0 into 0
3.258 * [backup-simplify]: Simplify 1 into 1
3.258 * [backup-simplify]: Simplify (* 1 1) into 1
3.258 * [backup-simplify]: Simplify (/ 1 1) into 1
3.259 * [backup-simplify]: Simplify (+ 0 1) into 1
3.259 * [backup-simplify]: Simplify (sqrt 1) into 1
3.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.260 * [backup-simplify]: Simplify (+ 0 0) into 0
3.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.261 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.261 * [taylor]: Taking taylor expansion of im in re
3.261 * [backup-simplify]: Simplify im into im
3.261 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.261 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.261 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.261 * [taylor]: Taking taylor expansion of re in re
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 1 into 1
3.261 * [backup-simplify]: Simplify (* 1 1) into 1
3.262 * [backup-simplify]: Simplify (/ 1 1) into 1
3.262 * [backup-simplify]: Simplify (+ 0 1) into 1
3.262 * [backup-simplify]: Simplify (sqrt 1) into 1
3.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.263 * [backup-simplify]: Simplify (+ 0 0) into 0
3.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.264 * [taylor]: Taking taylor expansion of 1 in im
3.264 * [backup-simplify]: Simplify 1 into 1
3.264 * [taylor]: Taking taylor expansion of 0 in im
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 1 into 1
3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.265 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.266 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.266 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.266 * [taylor]: Taking taylor expansion of 1/2 in im
3.266 * [backup-simplify]: Simplify 1/2 into 1/2
3.266 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.266 * [taylor]: Taking taylor expansion of im in im
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 1 into 1
3.266 * [backup-simplify]: Simplify (* 1 1) into 1
3.267 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.268 * [backup-simplify]: Simplify 0 into 0
3.268 * [backup-simplify]: Simplify 0 into 0
3.268 * [backup-simplify]: Simplify 0 into 0
3.268 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.271 * [backup-simplify]: Simplify (+ 0 0) into 0
3.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.271 * [taylor]: Taking taylor expansion of 0 in im
3.271 * [backup-simplify]: Simplify 0 into 0
3.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.274 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.274 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.274 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.274 * [taylor]: Taking taylor expansion of im in im
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 1 into 1
3.275 * [backup-simplify]: Simplify (* 1 1) into 1
3.275 * [backup-simplify]: Simplify (/ 1 1) into 1
3.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.275 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.275 * [taylor]: Taking taylor expansion of re in im
3.275 * [backup-simplify]: Simplify re into re
3.275 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.276 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.276 * [backup-simplify]: Simplify (+ 1 0) into 1
3.276 * [backup-simplify]: Simplify (sqrt 1) into 1
3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.278 * [backup-simplify]: Simplify (+ 0 0) into 0
3.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.279 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.279 * [taylor]: Taking taylor expansion of im in re
3.279 * [backup-simplify]: Simplify im into im
3.279 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.280 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.280 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.280 * [taylor]: Taking taylor expansion of re in re
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 1 into 1
3.280 * [backup-simplify]: Simplify (* 1 1) into 1
3.280 * [backup-simplify]: Simplify (/ 1 1) into 1
3.281 * [backup-simplify]: Simplify (+ 0 1) into 1
3.281 * [backup-simplify]: Simplify (sqrt 1) into 1
3.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.283 * [backup-simplify]: Simplify (+ 0 0) into 0
3.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.284 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.284 * [taylor]: Taking taylor expansion of im in re
3.284 * [backup-simplify]: Simplify im into im
3.284 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.284 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.284 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.284 * [taylor]: Taking taylor expansion of re in re
3.284 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify 1 into 1
3.285 * [backup-simplify]: Simplify (* 1 1) into 1
3.285 * [backup-simplify]: Simplify (/ 1 1) into 1
3.285 * [backup-simplify]: Simplify (+ 0 1) into 1
3.286 * [backup-simplify]: Simplify (sqrt 1) into 1
3.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.288 * [backup-simplify]: Simplify (+ 0 0) into 0
3.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.288 * [taylor]: Taking taylor expansion of 1 in im
3.288 * [backup-simplify]: Simplify 1 into 1
3.288 * [taylor]: Taking taylor expansion of 0 in im
3.288 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 1 into 1
3.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.290 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.292 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.292 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.292 * [taylor]: Taking taylor expansion of 1/2 in im
3.292 * [backup-simplify]: Simplify 1/2 into 1/2
3.292 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.292 * [taylor]: Taking taylor expansion of im in im
3.292 * [backup-simplify]: Simplify 0 into 0
3.292 * [backup-simplify]: Simplify 1 into 1
3.292 * [backup-simplify]: Simplify (* 1 1) into 1
3.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.297 * [backup-simplify]: Simplify (+ 0 0) into 0
3.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.298 * [taylor]: Taking taylor expansion of 0 in im
3.298 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.300 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
3.300 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
3.300 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
3.300 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.300 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.300 * [taylor]: Taking taylor expansion of re in im
3.300 * [backup-simplify]: Simplify re into re
3.300 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.300 * [taylor]: Taking taylor expansion of im in im
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 1 into 1
3.300 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.300 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.300 * [taylor]: Taking taylor expansion of re in re
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 1 into 1
3.301 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.301 * [taylor]: Taking taylor expansion of im in re
3.301 * [backup-simplify]: Simplify im into im
3.301 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.301 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.301 * [taylor]: Taking taylor expansion of re in re
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.301 * [taylor]: Taking taylor expansion of im in re
3.301 * [backup-simplify]: Simplify im into im
3.301 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.301 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.301 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.301 * [taylor]: Taking taylor expansion of im in im
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.302 * [backup-simplify]: Simplify (+ 0 0) into 0
3.302 * [taylor]: Taking taylor expansion of 0 in im
3.302 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify (* 1 1) into 1
3.303 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.303 * [backup-simplify]: Simplify (+ 1 0) into 1
3.303 * [taylor]: Taking taylor expansion of 1 in im
3.303 * [backup-simplify]: Simplify 1 into 1
3.303 * [backup-simplify]: Simplify 1 into 1
3.303 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify (* 1 1) into 1
3.304 * [backup-simplify]: Simplify 1 into 1
3.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.305 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.305 * [backup-simplify]: Simplify (+ 0 0) into 0
3.305 * [taylor]: Taking taylor expansion of 0 in im
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.310 * [backup-simplify]: Simplify 0 into 0
3.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.312 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
3.313 * [backup-simplify]: Simplify (+ 0 0) into 0
3.313 * [taylor]: Taking taylor expansion of 0 in im
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
3.314 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
3.314 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
3.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.314 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.314 * [taylor]: Taking taylor expansion of im in im
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 1 into 1
3.314 * [backup-simplify]: Simplify (* 1 1) into 1
3.315 * [backup-simplify]: Simplify (/ 1 1) into 1
3.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.315 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.315 * [taylor]: Taking taylor expansion of re in im
3.315 * [backup-simplify]: Simplify re into re
3.315 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.315 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.315 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.315 * [taylor]: Taking taylor expansion of im in re
3.315 * [backup-simplify]: Simplify im into im
3.315 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.315 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.316 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.316 * [taylor]: Taking taylor expansion of re in re
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 1 into 1
3.316 * [backup-simplify]: Simplify (* 1 1) into 1
3.316 * [backup-simplify]: Simplify (/ 1 1) into 1
3.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.316 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.316 * [taylor]: Taking taylor expansion of im in re
3.317 * [backup-simplify]: Simplify im into im
3.317 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.317 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.317 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.317 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.317 * [taylor]: Taking taylor expansion of re in re
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify 1 into 1
3.317 * [backup-simplify]: Simplify (* 1 1) into 1
3.318 * [backup-simplify]: Simplify (/ 1 1) into 1
3.318 * [backup-simplify]: Simplify (+ 0 1) into 1
3.318 * [taylor]: Taking taylor expansion of 1 in im
3.318 * [backup-simplify]: Simplify 1 into 1
3.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.320 * [backup-simplify]: Simplify (+ 0 0) into 0
3.320 * [taylor]: Taking taylor expansion of 0 in im
3.320 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.322 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.323 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.323 * [taylor]: Taking taylor expansion of im in im
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 1 into 1
3.323 * [backup-simplify]: Simplify (* 1 1) into 1
3.323 * [backup-simplify]: Simplify (/ 1 1) into 1
3.323 * [backup-simplify]: Simplify 1 into 1
3.323 * [backup-simplify]: Simplify 1 into 1
3.324 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.326 * [backup-simplify]: Simplify (+ 0 0) into 0
3.326 * [taylor]: Taking taylor expansion of 0 in im
3.326 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.328 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.331 * [backup-simplify]: Simplify (+ 0 0) into 0
3.332 * [taylor]: Taking taylor expansion of 0 in im
3.332 * [backup-simplify]: Simplify 0 into 0
3.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.333 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
3.334 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
3.334 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
3.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.334 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.334 * [taylor]: Taking taylor expansion of im in im
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 1 into 1
3.335 * [backup-simplify]: Simplify (* 1 1) into 1
3.335 * [backup-simplify]: Simplify (/ 1 1) into 1
3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.336 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.336 * [taylor]: Taking taylor expansion of re in im
3.336 * [backup-simplify]: Simplify re into re
3.336 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.336 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.336 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.336 * [taylor]: Taking taylor expansion of im in re
3.336 * [backup-simplify]: Simplify im into im
3.336 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.336 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.336 * [taylor]: Taking taylor expansion of re in re
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 1 into 1
3.337 * [backup-simplify]: Simplify (* 1 1) into 1
3.337 * [backup-simplify]: Simplify (/ 1 1) into 1
3.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.337 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.337 * [taylor]: Taking taylor expansion of im in re
3.337 * [backup-simplify]: Simplify im into im
3.337 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.337 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.338 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.338 * [taylor]: Taking taylor expansion of re in re
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify 1 into 1
3.338 * [backup-simplify]: Simplify (* 1 1) into 1
3.338 * [backup-simplify]: Simplify (/ 1 1) into 1
3.339 * [backup-simplify]: Simplify (+ 0 1) into 1
3.339 * [taylor]: Taking taylor expansion of 1 in im
3.339 * [backup-simplify]: Simplify 1 into 1
3.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.341 * [backup-simplify]: Simplify (+ 0 0) into 0
3.341 * [taylor]: Taking taylor expansion of 0 in im
3.341 * [backup-simplify]: Simplify 0 into 0
3.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.343 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.343 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.343 * [taylor]: Taking taylor expansion of im in im
3.343 * [backup-simplify]: Simplify 0 into 0
3.343 * [backup-simplify]: Simplify 1 into 1
3.344 * [backup-simplify]: Simplify (* 1 1) into 1
3.344 * [backup-simplify]: Simplify (/ 1 1) into 1
3.344 * [backup-simplify]: Simplify 1 into 1
3.344 * [backup-simplify]: Simplify 1 into 1
3.344 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.347 * [backup-simplify]: Simplify (+ 0 0) into 0
3.347 * [taylor]: Taking taylor expansion of 0 in im
3.347 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.348 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify 0 into 0
3.349 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.352 * [backup-simplify]: Simplify (+ 0 0) into 0
3.352 * [taylor]: Taking taylor expansion of 0 in im
3.352 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 0 into 0
3.355 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
3.355 * * * [progress]: simplifying candidates
3.359 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
3.366 * * [simplify]: Extracting # 0 : cost  0
3.367 * * [simplify]: Extracting # 1 : cost  0
3.367 * * [simplify]: Extracting # 2 : cost  0
3.367 * * [simplify]: Extracting # 3 : cost  0
3.368 * * [simplify]: Extracting # 4 : cost  0
3.368 * * [simplify]: Extracting # 5 : cost  0
3.368 * * [simplify]: Extracting # 6 : cost  0
3.369 * * [simplify]: iteration  0 :  121  enodes  (cost  2803 )
3.418 * * [simplify]: Extracting # 0 : cost  0
3.418 * * [simplify]: Extracting # 1 : cost  0
3.419 * * [simplify]: Extracting # 2 : cost  0
3.419 * * [simplify]: Extracting # 3 : cost  0
3.419 * * [simplify]: Extracting # 4 : cost  0
3.419 * * [simplify]: iteration  1 :  233  enodes  (cost  1759 )
3.506 * * [simplify]: Extracting # 0 : cost  0
3.507 * * [simplify]: Extracting # 1 : cost  0
3.508 * * [simplify]: Extracting # 2 : cost  0
3.509 * * [simplify]: Extracting # 3 : cost  0
3.511 * * [simplify]: Extracting # 4 : cost  0
3.512 * * [simplify]: iteration  2 :  638  enodes  (cost  1533 )
3.989 * * [simplify]: Extracting # 0 : cost  0
3.992 * * [simplify]: Extracting # 1 : cost  0
3.994 * * [simplify]: Extracting # 2 : cost  0
3.995 * * [simplify]: Extracting # 3 : cost  0
3.997 * * [simplify]: Extracting # 4 : cost  0
3.999 * * [simplify]: iteration  3 :  2187  enodes  (cost  1496 )
5.293 * * [simplify]: Extracting # 0 : cost  0
5.302 * * [simplify]: Extracting # 1 : cost  0
5.314 * * [simplify]: Extracting # 2 : cost  0
5.331 * * [simplify]: Extracting # 3 : cost  0
5.342 * * [simplify]: Extracting # 4 : cost  0
5.352 * * [simplify]: iteration done:  5000  enodes  (cost  1457 )
5.354 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* im im) (* re re))
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (+ (* re re) (* im im))) 4)
  (+ (* im im) (* re re))
  (pow (sqrt (+ (* re re) (* im im))) 4)
  2
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (+ (* im im) (* re re))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (* (sqrt (sqrt (+ (pow im 6) (pow re 6)))) (sqrt (sqrt (- (pow re 4) (pow im 4)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))))
  (* (sqrt (sqrt (+ (pow im 6) (pow re 6)))) (sqrt (sqrt (- (pow re 4) (pow im 4)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  2
  1/2
  1
  1/2
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 5)
  (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (pow im 2) (pow re 2)))))
  (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (pow im 2) (pow re 2)))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (pow im 2) (pow re 2)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 2) (pow re 2)))))
  (* (sqrt (sqrt (+ (pow im 2) (pow re 2)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 2) (pow re 2)))))
  (exp (+ (* re re) (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (pow (+ (* im im) (* re re)) 3)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow im 6) (pow re 6))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (- (* re re) (pow im 2))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
5.355 * * * [progress]: adding candidates to table
5.747 * * [progress]: iteration 3 / 4
5.747 * * * [progress]: picking best candidate
5.763 * * * * [pick]: Picked  #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))>
5.763 * * * [progress]: localizing error
5.789 * * * [progress]: generating rewritten candidates
5.789 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
5.801 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
5.814 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1)
5.822 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1)
5.838 * * * [progress]: generating series expansions
5.838 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
5.838 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
5.838 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.838 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.838 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.838 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.838 * [taylor]: Taking taylor expansion of re in im
5.838 * [backup-simplify]: Simplify re into re
5.838 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.838 * [taylor]: Taking taylor expansion of im in im
5.838 * [backup-simplify]: Simplify 0 into 0
5.838 * [backup-simplify]: Simplify 1 into 1
5.838 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.839 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.839 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.839 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.839 * [backup-simplify]: Simplify (+ 0 0) into 0
5.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.839 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.839 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.839 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.839 * [taylor]: Taking taylor expansion of re in re
5.839 * [backup-simplify]: Simplify 0 into 0
5.839 * [backup-simplify]: Simplify 1 into 1
5.839 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.839 * [taylor]: Taking taylor expansion of im in re
5.839 * [backup-simplify]: Simplify im into im
5.839 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.840 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.840 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.840 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.840 * [backup-simplify]: Simplify (+ 0 0) into 0
5.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.840 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.840 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.840 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.840 * [taylor]: Taking taylor expansion of re in re
5.840 * [backup-simplify]: Simplify 0 into 0
5.840 * [backup-simplify]: Simplify 1 into 1
5.841 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.841 * [taylor]: Taking taylor expansion of im in re
5.841 * [backup-simplify]: Simplify im into im
5.841 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.841 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.841 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.841 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.841 * [backup-simplify]: Simplify (+ 0 0) into 0
5.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.842 * [taylor]: Taking taylor expansion of im in im
5.842 * [backup-simplify]: Simplify 0 into 0
5.842 * [backup-simplify]: Simplify 1 into 1
5.842 * [backup-simplify]: Simplify 0 into 0
5.842 * [taylor]: Taking taylor expansion of 0 in im
5.842 * [backup-simplify]: Simplify 0 into 0
5.842 * [backup-simplify]: Simplify 0 into 0
5.842 * [backup-simplify]: Simplify 1 into 1
5.842 * [backup-simplify]: Simplify (* 1 1) into 1
5.843 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.843 * [backup-simplify]: Simplify (+ 1 0) into 1
5.844 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.844 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.844 * [taylor]: Taking taylor expansion of 1/2 in im
5.845 * [backup-simplify]: Simplify 1/2 into 1/2
5.845 * [taylor]: Taking taylor expansion of im in im
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify 1 into 1
5.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.847 * [backup-simplify]: Simplify 0 into 0
5.847 * [backup-simplify]: Simplify 0 into 0
5.847 * [backup-simplify]: Simplify 0 into 0
5.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.849 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.849 * [backup-simplify]: Simplify (+ 0 0) into 0
5.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.849 * [taylor]: Taking taylor expansion of 0 in im
5.849 * [backup-simplify]: Simplify 0 into 0
5.849 * [backup-simplify]: Simplify 0 into 0
5.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.851 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.851 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.851 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.851 * [taylor]: Taking taylor expansion of im in im
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify 1 into 1
5.852 * [backup-simplify]: Simplify (* 1 1) into 1
5.852 * [backup-simplify]: Simplify (/ 1 1) into 1
5.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.852 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.852 * [taylor]: Taking taylor expansion of re in im
5.852 * [backup-simplify]: Simplify re into re
5.852 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.852 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.853 * [backup-simplify]: Simplify (+ 1 0) into 1
5.853 * [backup-simplify]: Simplify (sqrt 1) into 1
5.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.855 * [backup-simplify]: Simplify (+ 0 0) into 0
5.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.856 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.856 * [taylor]: Taking taylor expansion of im in re
5.856 * [backup-simplify]: Simplify im into im
5.856 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.856 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.856 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.856 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.856 * [taylor]: Taking taylor expansion of re in re
5.857 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify 1 into 1
5.857 * [backup-simplify]: Simplify (* 1 1) into 1
5.857 * [backup-simplify]: Simplify (/ 1 1) into 1
5.858 * [backup-simplify]: Simplify (+ 0 1) into 1
5.858 * [backup-simplify]: Simplify (sqrt 1) into 1
5.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.860 * [backup-simplify]: Simplify (+ 0 0) into 0
5.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.861 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.861 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.861 * [taylor]: Taking taylor expansion of im in re
5.861 * [backup-simplify]: Simplify im into im
5.861 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.861 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.861 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.861 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.861 * [taylor]: Taking taylor expansion of re in re
5.861 * [backup-simplify]: Simplify 0 into 0
5.861 * [backup-simplify]: Simplify 1 into 1
5.862 * [backup-simplify]: Simplify (* 1 1) into 1
5.862 * [backup-simplify]: Simplify (/ 1 1) into 1
5.862 * [backup-simplify]: Simplify (+ 0 1) into 1
5.863 * [backup-simplify]: Simplify (sqrt 1) into 1
5.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.865 * [backup-simplify]: Simplify (+ 0 0) into 0
5.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.865 * [taylor]: Taking taylor expansion of 1 in im
5.865 * [backup-simplify]: Simplify 1 into 1
5.865 * [taylor]: Taking taylor expansion of 0 in im
5.865 * [backup-simplify]: Simplify 0 into 0
5.866 * [backup-simplify]: Simplify 1 into 1
5.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.868 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.869 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.869 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.869 * [taylor]: Taking taylor expansion of 1/2 in im
5.869 * [backup-simplify]: Simplify 1/2 into 1/2
5.869 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.869 * [taylor]: Taking taylor expansion of im in im
5.869 * [backup-simplify]: Simplify 0 into 0
5.869 * [backup-simplify]: Simplify 1 into 1
5.869 * [backup-simplify]: Simplify (* 1 1) into 1
5.870 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 0 into 0
5.872 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.874 * [backup-simplify]: Simplify (+ 0 0) into 0
5.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.875 * [taylor]: Taking taylor expansion of 0 in im
5.875 * [backup-simplify]: Simplify 0 into 0
5.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.878 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.878 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.878 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.878 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.878 * [taylor]: Taking taylor expansion of im in im
5.878 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify 1 into 1
5.878 * [backup-simplify]: Simplify (* 1 1) into 1
5.879 * [backup-simplify]: Simplify (/ 1 1) into 1
5.879 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.879 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.879 * [taylor]: Taking taylor expansion of re in im
5.879 * [backup-simplify]: Simplify re into re
5.879 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.879 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.879 * [backup-simplify]: Simplify (+ 1 0) into 1
5.880 * [backup-simplify]: Simplify (sqrt 1) into 1
5.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.882 * [backup-simplify]: Simplify (+ 0 0) into 0
5.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.883 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.883 * [taylor]: Taking taylor expansion of im in re
5.883 * [backup-simplify]: Simplify im into im
5.883 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.883 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.883 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.883 * [taylor]: Taking taylor expansion of re in re
5.883 * [backup-simplify]: Simplify 0 into 0
5.883 * [backup-simplify]: Simplify 1 into 1
5.883 * [backup-simplify]: Simplify (* 1 1) into 1
5.884 * [backup-simplify]: Simplify (/ 1 1) into 1
5.884 * [backup-simplify]: Simplify (+ 0 1) into 1
5.885 * [backup-simplify]: Simplify (sqrt 1) into 1
5.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.887 * [backup-simplify]: Simplify (+ 0 0) into 0
5.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.887 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.888 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.888 * [taylor]: Taking taylor expansion of im in re
5.888 * [backup-simplify]: Simplify im into im
5.888 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.888 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.888 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.888 * [taylor]: Taking taylor expansion of re in re
5.888 * [backup-simplify]: Simplify 0 into 0
5.888 * [backup-simplify]: Simplify 1 into 1
5.888 * [backup-simplify]: Simplify (* 1 1) into 1
5.889 * [backup-simplify]: Simplify (/ 1 1) into 1
5.889 * [backup-simplify]: Simplify (+ 0 1) into 1
5.890 * [backup-simplify]: Simplify (sqrt 1) into 1
5.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.891 * [backup-simplify]: Simplify (+ 0 0) into 0
5.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.892 * [taylor]: Taking taylor expansion of 1 in im
5.892 * [backup-simplify]: Simplify 1 into 1
5.892 * [taylor]: Taking taylor expansion of 0 in im
5.892 * [backup-simplify]: Simplify 0 into 0
5.892 * [backup-simplify]: Simplify 1 into 1
5.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.893 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.894 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.894 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.894 * [taylor]: Taking taylor expansion of 1/2 in im
5.894 * [backup-simplify]: Simplify 1/2 into 1/2
5.894 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.894 * [taylor]: Taking taylor expansion of im in im
5.894 * [backup-simplify]: Simplify 0 into 0
5.894 * [backup-simplify]: Simplify 1 into 1
5.895 * [backup-simplify]: Simplify (* 1 1) into 1
5.895 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.896 * [backup-simplify]: Simplify 0 into 0
5.896 * [backup-simplify]: Simplify 0 into 0
5.896 * [backup-simplify]: Simplify 0 into 0
5.896 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.897 * [backup-simplify]: Simplify (+ 0 0) into 0
5.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.898 * [taylor]: Taking taylor expansion of 0 in im
5.898 * [backup-simplify]: Simplify 0 into 0
5.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.899 * [backup-simplify]: Simplify 0 into 0
5.899 * [backup-simplify]: Simplify 0 into 0
5.899 * [backup-simplify]: Simplify 0 into 0
5.899 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.899 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
5.899 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
5.899 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.899 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.899 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.899 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.899 * [taylor]: Taking taylor expansion of re in im
5.899 * [backup-simplify]: Simplify re into re
5.899 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.899 * [taylor]: Taking taylor expansion of im in im
5.899 * [backup-simplify]: Simplify 0 into 0
5.899 * [backup-simplify]: Simplify 1 into 1
5.899 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.900 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.900 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.900 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.900 * [backup-simplify]: Simplify (+ 0 0) into 0
5.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.900 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.900 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.900 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.900 * [taylor]: Taking taylor expansion of re in re
5.900 * [backup-simplify]: Simplify 0 into 0
5.900 * [backup-simplify]: Simplify 1 into 1
5.900 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.900 * [taylor]: Taking taylor expansion of im in re
5.900 * [backup-simplify]: Simplify im into im
5.900 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.900 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.900 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.900 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.901 * [backup-simplify]: Simplify (+ 0 0) into 0
5.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.901 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.901 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.901 * [taylor]: Taking taylor expansion of re in re
5.901 * [backup-simplify]: Simplify 0 into 0
5.901 * [backup-simplify]: Simplify 1 into 1
5.901 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.901 * [taylor]: Taking taylor expansion of im in re
5.901 * [backup-simplify]: Simplify im into im
5.901 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.901 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.901 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.901 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.901 * [backup-simplify]: Simplify (+ 0 0) into 0
5.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.902 * [taylor]: Taking taylor expansion of im in im
5.902 * [backup-simplify]: Simplify 0 into 0
5.902 * [backup-simplify]: Simplify 1 into 1
5.902 * [backup-simplify]: Simplify 0 into 0
5.902 * [taylor]: Taking taylor expansion of 0 in im
5.902 * [backup-simplify]: Simplify 0 into 0
5.902 * [backup-simplify]: Simplify 0 into 0
5.902 * [backup-simplify]: Simplify 1 into 1
5.902 * [backup-simplify]: Simplify (* 1 1) into 1
5.902 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.903 * [backup-simplify]: Simplify (+ 1 0) into 1
5.903 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.903 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.903 * [taylor]: Taking taylor expansion of 1/2 in im
5.903 * [backup-simplify]: Simplify 1/2 into 1/2
5.903 * [taylor]: Taking taylor expansion of im in im
5.903 * [backup-simplify]: Simplify 0 into 0
5.903 * [backup-simplify]: Simplify 1 into 1
5.903 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.904 * [backup-simplify]: Simplify 0 into 0
5.904 * [backup-simplify]: Simplify 0 into 0
5.904 * [backup-simplify]: Simplify 0 into 0
5.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.905 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.905 * [backup-simplify]: Simplify (+ 0 0) into 0
5.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.906 * [taylor]: Taking taylor expansion of 0 in im
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.907 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.907 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.907 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.907 * [taylor]: Taking taylor expansion of im in im
5.907 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify 1 into 1
5.907 * [backup-simplify]: Simplify (* 1 1) into 1
5.907 * [backup-simplify]: Simplify (/ 1 1) into 1
5.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.907 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.907 * [taylor]: Taking taylor expansion of re in im
5.907 * [backup-simplify]: Simplify re into re
5.907 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.907 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.908 * [backup-simplify]: Simplify (+ 1 0) into 1
5.908 * [backup-simplify]: Simplify (sqrt 1) into 1
5.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.909 * [backup-simplify]: Simplify (+ 0 0) into 0
5.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.909 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.909 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.909 * [taylor]: Taking taylor expansion of im in re
5.910 * [backup-simplify]: Simplify im into im
5.910 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.910 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.910 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.910 * [taylor]: Taking taylor expansion of re in re
5.910 * [backup-simplify]: Simplify 0 into 0
5.910 * [backup-simplify]: Simplify 1 into 1
5.910 * [backup-simplify]: Simplify (* 1 1) into 1
5.910 * [backup-simplify]: Simplify (/ 1 1) into 1
5.910 * [backup-simplify]: Simplify (+ 0 1) into 1
5.911 * [backup-simplify]: Simplify (sqrt 1) into 1
5.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.912 * [backup-simplify]: Simplify (+ 0 0) into 0
5.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.912 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.912 * [taylor]: Taking taylor expansion of im in re
5.912 * [backup-simplify]: Simplify im into im
5.912 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.912 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.912 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.912 * [taylor]: Taking taylor expansion of re in re
5.913 * [backup-simplify]: Simplify 0 into 0
5.913 * [backup-simplify]: Simplify 1 into 1
5.913 * [backup-simplify]: Simplify (* 1 1) into 1
5.913 * [backup-simplify]: Simplify (/ 1 1) into 1
5.913 * [backup-simplify]: Simplify (+ 0 1) into 1
5.913 * [backup-simplify]: Simplify (sqrt 1) into 1
5.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.914 * [backup-simplify]: Simplify (+ 0 0) into 0
5.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.915 * [taylor]: Taking taylor expansion of 1 in im
5.915 * [backup-simplify]: Simplify 1 into 1
5.915 * [taylor]: Taking taylor expansion of 0 in im
5.915 * [backup-simplify]: Simplify 0 into 0
5.915 * [backup-simplify]: Simplify 1 into 1
5.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.916 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.917 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.917 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.917 * [taylor]: Taking taylor expansion of 1/2 in im
5.917 * [backup-simplify]: Simplify 1/2 into 1/2
5.917 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.917 * [taylor]: Taking taylor expansion of im in im
5.917 * [backup-simplify]: Simplify 0 into 0
5.917 * [backup-simplify]: Simplify 1 into 1
5.917 * [backup-simplify]: Simplify (* 1 1) into 1
5.918 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.921 * [backup-simplify]: Simplify (+ 0 0) into 0
5.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.921 * [taylor]: Taking taylor expansion of 0 in im
5.921 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.923 * [backup-simplify]: Simplify 0 into 0
5.923 * [backup-simplify]: Simplify 0 into 0
5.923 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.924 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.924 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.924 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.924 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.924 * [taylor]: Taking taylor expansion of im in im
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 1 into 1
5.925 * [backup-simplify]: Simplify (* 1 1) into 1
5.925 * [backup-simplify]: Simplify (/ 1 1) into 1
5.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.925 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.925 * [taylor]: Taking taylor expansion of re in im
5.925 * [backup-simplify]: Simplify re into re
5.925 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.925 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.926 * [backup-simplify]: Simplify (+ 1 0) into 1
5.926 * [backup-simplify]: Simplify (sqrt 1) into 1
5.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.928 * [backup-simplify]: Simplify (+ 0 0) into 0
5.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.929 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.929 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.929 * [taylor]: Taking taylor expansion of im in re
5.929 * [backup-simplify]: Simplify im into im
5.929 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.929 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.929 * [taylor]: Taking taylor expansion of re in re
5.929 * [backup-simplify]: Simplify 0 into 0
5.929 * [backup-simplify]: Simplify 1 into 1
5.930 * [backup-simplify]: Simplify (* 1 1) into 1
5.930 * [backup-simplify]: Simplify (/ 1 1) into 1
5.930 * [backup-simplify]: Simplify (+ 0 1) into 1
5.931 * [backup-simplify]: Simplify (sqrt 1) into 1
5.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.932 * [backup-simplify]: Simplify (+ 0 0) into 0
5.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.933 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.933 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.933 * [taylor]: Taking taylor expansion of im in re
5.933 * [backup-simplify]: Simplify im into im
5.933 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.934 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.934 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.934 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.934 * [taylor]: Taking taylor expansion of re in re
5.934 * [backup-simplify]: Simplify 0 into 0
5.934 * [backup-simplify]: Simplify 1 into 1
5.934 * [backup-simplify]: Simplify (* 1 1) into 1
5.934 * [backup-simplify]: Simplify (/ 1 1) into 1
5.935 * [backup-simplify]: Simplify (+ 0 1) into 1
5.935 * [backup-simplify]: Simplify (sqrt 1) into 1
5.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.937 * [backup-simplify]: Simplify (+ 0 0) into 0
5.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.938 * [taylor]: Taking taylor expansion of 1 in im
5.938 * [backup-simplify]: Simplify 1 into 1
5.938 * [taylor]: Taking taylor expansion of 0 in im
5.938 * [backup-simplify]: Simplify 0 into 0
5.938 * [backup-simplify]: Simplify 1 into 1
5.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.940 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.941 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.941 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.941 * [taylor]: Taking taylor expansion of 1/2 in im
5.941 * [backup-simplify]: Simplify 1/2 into 1/2
5.941 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.941 * [taylor]: Taking taylor expansion of im in im
5.941 * [backup-simplify]: Simplify 0 into 0
5.941 * [backup-simplify]: Simplify 1 into 1
5.942 * [backup-simplify]: Simplify (* 1 1) into 1
5.942 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.944 * [backup-simplify]: Simplify 0 into 0
5.944 * [backup-simplify]: Simplify 0 into 0
5.944 * [backup-simplify]: Simplify 0 into 0
5.944 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.947 * [backup-simplify]: Simplify (+ 0 0) into 0
5.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.947 * [taylor]: Taking taylor expansion of 0 in im
5.947 * [backup-simplify]: Simplify 0 into 0
5.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.949 * [backup-simplify]: Simplify 0 into 0
5.949 * [backup-simplify]: Simplify 0 into 0
5.949 * [backup-simplify]: Simplify 0 into 0
5.949 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.950 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1)
5.950 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
5.950 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.950 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.950 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.950 * [taylor]: Taking taylor expansion of re in im
5.950 * [backup-simplify]: Simplify re into re
5.950 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.950 * [taylor]: Taking taylor expansion of im in im
5.950 * [backup-simplify]: Simplify 0 into 0
5.950 * [backup-simplify]: Simplify 1 into 1
5.950 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.950 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.950 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.951 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.951 * [backup-simplify]: Simplify (+ 0 0) into 0
5.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.951 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.951 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.951 * [taylor]: Taking taylor expansion of re in re
5.951 * [backup-simplify]: Simplify 0 into 0
5.951 * [backup-simplify]: Simplify 1 into 1
5.951 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.951 * [taylor]: Taking taylor expansion of im in re
5.951 * [backup-simplify]: Simplify im into im
5.951 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.952 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.952 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.952 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.952 * [backup-simplify]: Simplify (+ 0 0) into 0
5.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.952 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.952 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.952 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.952 * [taylor]: Taking taylor expansion of re in re
5.952 * [backup-simplify]: Simplify 0 into 0
5.952 * [backup-simplify]: Simplify 1 into 1
5.952 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.952 * [taylor]: Taking taylor expansion of im in re
5.952 * [backup-simplify]: Simplify im into im
5.952 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.952 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.952 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.953 * [backup-simplify]: Simplify (+ 0 0) into 0
5.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.953 * [taylor]: Taking taylor expansion of im in im
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [backup-simplify]: Simplify 1 into 1
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [taylor]: Taking taylor expansion of 0 in im
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [backup-simplify]: Simplify 1 into 1
5.953 * [backup-simplify]: Simplify (* 1 1) into 1
5.954 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.954 * [backup-simplify]: Simplify (+ 1 0) into 1
5.954 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.954 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.954 * [taylor]: Taking taylor expansion of 1/2 in im
5.954 * [backup-simplify]: Simplify 1/2 into 1/2
5.954 * [taylor]: Taking taylor expansion of im in im
5.954 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify 1 into 1
5.955 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.959 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify 0 into 0
5.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.961 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.961 * [backup-simplify]: Simplify (+ 0 0) into 0
5.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.961 * [taylor]: Taking taylor expansion of 0 in im
5.961 * [backup-simplify]: Simplify 0 into 0
5.961 * [backup-simplify]: Simplify 0 into 0
5.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.962 * [backup-simplify]: Simplify 0 into 0
5.962 * [backup-simplify]: Simplify 0 into 0
5.962 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.962 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.962 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.962 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.962 * [taylor]: Taking taylor expansion of im in im
5.962 * [backup-simplify]: Simplify 0 into 0
5.962 * [backup-simplify]: Simplify 1 into 1
5.962 * [backup-simplify]: Simplify (* 1 1) into 1
5.962 * [backup-simplify]: Simplify (/ 1 1) into 1
5.962 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.962 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.963 * [taylor]: Taking taylor expansion of re in im
5.963 * [backup-simplify]: Simplify re into re
5.963 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.963 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.963 * [backup-simplify]: Simplify (+ 1 0) into 1
5.963 * [backup-simplify]: Simplify (sqrt 1) into 1
5.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.964 * [backup-simplify]: Simplify (+ 0 0) into 0
5.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.965 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.965 * [taylor]: Taking taylor expansion of im in re
5.965 * [backup-simplify]: Simplify im into im
5.965 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.965 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.965 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.965 * [taylor]: Taking taylor expansion of re in re
5.965 * [backup-simplify]: Simplify 0 into 0
5.965 * [backup-simplify]: Simplify 1 into 1
5.965 * [backup-simplify]: Simplify (* 1 1) into 1
5.965 * [backup-simplify]: Simplify (/ 1 1) into 1
5.966 * [backup-simplify]: Simplify (+ 0 1) into 1
5.966 * [backup-simplify]: Simplify (sqrt 1) into 1
5.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.967 * [backup-simplify]: Simplify (+ 0 0) into 0
5.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.967 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.967 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.968 * [taylor]: Taking taylor expansion of im in re
5.968 * [backup-simplify]: Simplify im into im
5.968 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.968 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.968 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.968 * [taylor]: Taking taylor expansion of re in re
5.968 * [backup-simplify]: Simplify 0 into 0
5.968 * [backup-simplify]: Simplify 1 into 1
5.968 * [backup-simplify]: Simplify (* 1 1) into 1
5.968 * [backup-simplify]: Simplify (/ 1 1) into 1
5.968 * [backup-simplify]: Simplify (+ 0 1) into 1
5.969 * [backup-simplify]: Simplify (sqrt 1) into 1
5.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.970 * [backup-simplify]: Simplify (+ 0 0) into 0
5.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.970 * [taylor]: Taking taylor expansion of 1 in im
5.970 * [backup-simplify]: Simplify 1 into 1
5.970 * [taylor]: Taking taylor expansion of 0 in im
5.970 * [backup-simplify]: Simplify 0 into 0
5.970 * [backup-simplify]: Simplify 1 into 1
5.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.971 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.972 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.972 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.972 * [taylor]: Taking taylor expansion of 1/2 in im
5.972 * [backup-simplify]: Simplify 1/2 into 1/2
5.972 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.972 * [taylor]: Taking taylor expansion of im in im
5.972 * [backup-simplify]: Simplify 0 into 0
5.972 * [backup-simplify]: Simplify 1 into 1
5.973 * [backup-simplify]: Simplify (* 1 1) into 1
5.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.976 * [backup-simplify]: Simplify (+ 0 0) into 0
5.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.976 * [taylor]: Taking taylor expansion of 0 in im
5.976 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.978 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.978 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.978 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.978 * [taylor]: Taking taylor expansion of im in im
5.978 * [backup-simplify]: Simplify 0 into 0
5.978 * [backup-simplify]: Simplify 1 into 1
5.978 * [backup-simplify]: Simplify (* 1 1) into 1
5.978 * [backup-simplify]: Simplify (/ 1 1) into 1
5.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.978 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.978 * [taylor]: Taking taylor expansion of re in im
5.978 * [backup-simplify]: Simplify re into re
5.978 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.978 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.979 * [backup-simplify]: Simplify (+ 1 0) into 1
5.979 * [backup-simplify]: Simplify (sqrt 1) into 1
5.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.980 * [backup-simplify]: Simplify (+ 0 0) into 0
5.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.981 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.981 * [taylor]: Taking taylor expansion of im in re
5.981 * [backup-simplify]: Simplify im into im
5.981 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.982 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.982 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.982 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.982 * [taylor]: Taking taylor expansion of re in re
5.982 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 1 into 1
5.982 * [backup-simplify]: Simplify (* 1 1) into 1
5.982 * [backup-simplify]: Simplify (/ 1 1) into 1
5.983 * [backup-simplify]: Simplify (+ 0 1) into 1
5.983 * [backup-simplify]: Simplify (sqrt 1) into 1
5.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.985 * [backup-simplify]: Simplify (+ 0 0) into 0
5.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.986 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.986 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.986 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.986 * [taylor]: Taking taylor expansion of im in re
5.986 * [backup-simplify]: Simplify im into im
5.986 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.987 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.987 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.987 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.987 * [taylor]: Taking taylor expansion of re in re
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 1 into 1
5.987 * [backup-simplify]: Simplify (* 1 1) into 1
5.987 * [backup-simplify]: Simplify (/ 1 1) into 1
5.988 * [backup-simplify]: Simplify (+ 0 1) into 1
5.988 * [backup-simplify]: Simplify (sqrt 1) into 1
5.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.990 * [backup-simplify]: Simplify (+ 0 0) into 0
5.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.991 * [taylor]: Taking taylor expansion of 1 in im
5.991 * [backup-simplify]: Simplify 1 into 1
5.991 * [taylor]: Taking taylor expansion of 0 in im
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [backup-simplify]: Simplify 1 into 1
5.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.993 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.995 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.995 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.995 * [taylor]: Taking taylor expansion of 1/2 in im
5.995 * [backup-simplify]: Simplify 1/2 into 1/2
5.995 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.995 * [taylor]: Taking taylor expansion of im in im
5.995 * [backup-simplify]: Simplify 0 into 0
5.995 * [backup-simplify]: Simplify 1 into 1
5.996 * [backup-simplify]: Simplify (* 1 1) into 1
5.996 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.001 * [backup-simplify]: Simplify (+ 0 0) into 0
6.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.001 * [taylor]: Taking taylor expansion of 0 in im
6.001 * [backup-simplify]: Simplify 0 into 0
6.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.003 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.004 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1)
6.004 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.004 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.004 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.004 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.004 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.004 * [taylor]: Taking taylor expansion of re in im
6.004 * [backup-simplify]: Simplify re into re
6.004 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.004 * [taylor]: Taking taylor expansion of im in im
6.004 * [backup-simplify]: Simplify 0 into 0
6.004 * [backup-simplify]: Simplify 1 into 1
6.004 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.004 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.004 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.005 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.005 * [backup-simplify]: Simplify (+ 0 0) into 0
6.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.005 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.005 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.005 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.005 * [taylor]: Taking taylor expansion of re in re
6.005 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify 1 into 1
6.005 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.005 * [taylor]: Taking taylor expansion of im in re
6.005 * [backup-simplify]: Simplify im into im
6.005 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.006 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.006 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.006 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.006 * [backup-simplify]: Simplify (+ 0 0) into 0
6.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.006 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.006 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.006 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.006 * [taylor]: Taking taylor expansion of re in re
6.006 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify 1 into 1
6.007 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.007 * [taylor]: Taking taylor expansion of im in re
6.007 * [backup-simplify]: Simplify im into im
6.007 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.007 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.007 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.007 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.007 * [backup-simplify]: Simplify (+ 0 0) into 0
6.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.008 * [taylor]: Taking taylor expansion of im in im
6.008 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify 1 into 1
6.008 * [backup-simplify]: Simplify 0 into 0
6.008 * [taylor]: Taking taylor expansion of 0 in im
6.008 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify 1 into 1
6.008 * [backup-simplify]: Simplify (* 1 1) into 1
6.009 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.009 * [backup-simplify]: Simplify (+ 1 0) into 1
6.010 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.010 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.010 * [taylor]: Taking taylor expansion of 1/2 in im
6.010 * [backup-simplify]: Simplify 1/2 into 1/2
6.010 * [taylor]: Taking taylor expansion of im in im
6.010 * [backup-simplify]: Simplify 0 into 0
6.010 * [backup-simplify]: Simplify 1 into 1
6.011 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.011 * [backup-simplify]: Simplify 0 into 0
6.012 * [backup-simplify]: Simplify 0 into 0
6.012 * [backup-simplify]: Simplify 0 into 0
6.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.013 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.013 * [backup-simplify]: Simplify (+ 0 0) into 0
6.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.013 * [taylor]: Taking taylor expansion of 0 in im
6.014 * [backup-simplify]: Simplify 0 into 0
6.014 * [backup-simplify]: Simplify 0 into 0
6.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.014 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.015 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.015 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.015 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.015 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.015 * [taylor]: Taking taylor expansion of im in im
6.015 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify 1 into 1
6.015 * [backup-simplify]: Simplify (* 1 1) into 1
6.016 * [backup-simplify]: Simplify (/ 1 1) into 1
6.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.016 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.016 * [taylor]: Taking taylor expansion of re in im
6.016 * [backup-simplify]: Simplify re into re
6.016 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.017 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.017 * [backup-simplify]: Simplify (+ 1 0) into 1
6.017 * [backup-simplify]: Simplify (sqrt 1) into 1
6.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.019 * [backup-simplify]: Simplify (+ 0 0) into 0
6.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.020 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.020 * [taylor]: Taking taylor expansion of im in re
6.020 * [backup-simplify]: Simplify im into im
6.020 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.020 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.020 * [taylor]: Taking taylor expansion of re in re
6.020 * [backup-simplify]: Simplify 0 into 0
6.020 * [backup-simplify]: Simplify 1 into 1
6.021 * [backup-simplify]: Simplify (* 1 1) into 1
6.021 * [backup-simplify]: Simplify (/ 1 1) into 1
6.021 * [backup-simplify]: Simplify (+ 0 1) into 1
6.022 * [backup-simplify]: Simplify (sqrt 1) into 1
6.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.024 * [backup-simplify]: Simplify (+ 0 0) into 0
6.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.024 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.025 * [taylor]: Taking taylor expansion of im in re
6.025 * [backup-simplify]: Simplify im into im
6.025 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.025 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.025 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.025 * [taylor]: Taking taylor expansion of re in re
6.025 * [backup-simplify]: Simplify 0 into 0
6.025 * [backup-simplify]: Simplify 1 into 1
6.025 * [backup-simplify]: Simplify (* 1 1) into 1
6.026 * [backup-simplify]: Simplify (/ 1 1) into 1
6.026 * [backup-simplify]: Simplify (+ 0 1) into 1
6.027 * [backup-simplify]: Simplify (sqrt 1) into 1
6.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.028 * [backup-simplify]: Simplify (+ 0 0) into 0
6.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.029 * [taylor]: Taking taylor expansion of 1 in im
6.029 * [backup-simplify]: Simplify 1 into 1
6.029 * [taylor]: Taking taylor expansion of 0 in im
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 1 into 1
6.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.031 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.033 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.033 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.033 * [taylor]: Taking taylor expansion of 1/2 in im
6.033 * [backup-simplify]: Simplify 1/2 into 1/2
6.033 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.033 * [taylor]: Taking taylor expansion of im in im
6.033 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify 1 into 1
6.033 * [backup-simplify]: Simplify (* 1 1) into 1
6.034 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.035 * [backup-simplify]: Simplify 0 into 0
6.035 * [backup-simplify]: Simplify 0 into 0
6.035 * [backup-simplify]: Simplify 0 into 0
6.035 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.038 * [backup-simplify]: Simplify (+ 0 0) into 0
6.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.039 * [taylor]: Taking taylor expansion of 0 in im
6.039 * [backup-simplify]: Simplify 0 into 0
6.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.040 * [backup-simplify]: Simplify 0 into 0
6.040 * [backup-simplify]: Simplify 0 into 0
6.040 * [backup-simplify]: Simplify 0 into 0
6.040 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.041 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.041 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.041 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.041 * [taylor]: Taking taylor expansion of im in im
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [backup-simplify]: Simplify 1 into 1
6.041 * [backup-simplify]: Simplify (* 1 1) into 1
6.041 * [backup-simplify]: Simplify (/ 1 1) into 1
6.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.041 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.041 * [taylor]: Taking taylor expansion of re in im
6.041 * [backup-simplify]: Simplify re into re
6.041 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.042 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.042 * [backup-simplify]: Simplify (+ 1 0) into 1
6.042 * [backup-simplify]: Simplify (sqrt 1) into 1
6.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.043 * [backup-simplify]: Simplify (+ 0 0) into 0
6.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.044 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.044 * [taylor]: Taking taylor expansion of im in re
6.044 * [backup-simplify]: Simplify im into im
6.044 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.044 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.044 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.044 * [taylor]: Taking taylor expansion of re in re
6.044 * [backup-simplify]: Simplify 0 into 0
6.044 * [backup-simplify]: Simplify 1 into 1
6.044 * [backup-simplify]: Simplify (* 1 1) into 1
6.044 * [backup-simplify]: Simplify (/ 1 1) into 1
6.045 * [backup-simplify]: Simplify (+ 0 1) into 1
6.045 * [backup-simplify]: Simplify (sqrt 1) into 1
6.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.046 * [backup-simplify]: Simplify (+ 0 0) into 0
6.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.046 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.046 * [taylor]: Taking taylor expansion of im in re
6.046 * [backup-simplify]: Simplify im into im
6.046 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.047 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.047 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.047 * [taylor]: Taking taylor expansion of re in re
6.047 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify 1 into 1
6.047 * [backup-simplify]: Simplify (* 1 1) into 1
6.047 * [backup-simplify]: Simplify (/ 1 1) into 1
6.047 * [backup-simplify]: Simplify (+ 0 1) into 1
6.048 * [backup-simplify]: Simplify (sqrt 1) into 1
6.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.049 * [backup-simplify]: Simplify (+ 0 0) into 0
6.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.049 * [taylor]: Taking taylor expansion of 1 in im
6.049 * [backup-simplify]: Simplify 1 into 1
6.049 * [taylor]: Taking taylor expansion of 0 in im
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify 1 into 1
6.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.050 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.051 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.051 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.051 * [taylor]: Taking taylor expansion of 1/2 in im
6.051 * [backup-simplify]: Simplify 1/2 into 1/2
6.051 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.051 * [taylor]: Taking taylor expansion of im in im
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 1 into 1
6.052 * [backup-simplify]: Simplify (* 1 1) into 1
6.052 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.053 * [backup-simplify]: Simplify 0 into 0
6.053 * [backup-simplify]: Simplify 0 into 0
6.053 * [backup-simplify]: Simplify 0 into 0
6.053 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.054 * [backup-simplify]: Simplify (+ 0 0) into 0
6.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.055 * [taylor]: Taking taylor expansion of 0 in im
6.055 * [backup-simplify]: Simplify 0 into 0
6.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.056 * [backup-simplify]: Simplify 0 into 0
6.056 * [backup-simplify]: Simplify 0 into 0
6.056 * [backup-simplify]: Simplify 0 into 0
6.056 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.056 * * * [progress]: simplifying candidates
6.057 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
6.058 * * [simplify]: Extracting # 0 : cost  0
6.058 * * [simplify]: Extracting # 1 : cost  0
6.058 * * [simplify]: Extracting # 2 : cost  0
6.058 * * [simplify]: Extracting # 3 : cost  0
6.058 * * [simplify]: Extracting # 4 : cost  0
6.058 * * [simplify]: Extracting # 5 : cost  0
6.058 * * [simplify]: Extracting # 6 : cost  0
6.058 * * [simplify]: iteration  0 :  38  enodes  (cost  852 )
6.067 * * [simplify]: Extracting # 0 : cost  0
6.067 * * [simplify]: Extracting # 1 : cost  0
6.067 * * [simplify]: Extracting # 2 : cost  0
6.067 * * [simplify]: Extracting # 3 : cost  0
6.067 * * [simplify]: Extracting # 4 : cost  0
6.067 * * [simplify]: iteration  1 :  91  enodes  (cost  744 )
6.106 * * [simplify]: Extracting # 0 : cost  0
6.106 * * [simplify]: Extracting # 1 : cost  0
6.107 * * [simplify]: Extracting # 2 : cost  0
6.107 * * [simplify]: Extracting # 3 : cost  0
6.107 * * [simplify]: Extracting # 4 : cost  0
6.108 * * [simplify]: iteration  2 :  205  enodes  (cost  680 )
6.199 * * [simplify]: Extracting # 0 : cost  0
6.200 * * [simplify]: Extracting # 1 : cost  0
6.200 * * [simplify]: Extracting # 2 : cost  0
6.201 * * [simplify]: Extracting # 3 : cost  0
6.201 * * [simplify]: Extracting # 4 : cost  0
6.201 * * [simplify]: iteration  3 :  444  enodes  (cost  656 )
6.478 * * [simplify]: Extracting # 0 : cost  0
6.479 * * [simplify]: Extracting # 1 : cost  0
6.485 * * [simplify]: Extracting # 2 : cost  0
6.486 * * [simplify]: Extracting # 3 : cost  0
6.487 * * [simplify]: iteration  4 :  1114  enodes  (cost  656 )
7.398 * * [simplify]: Extracting # 0 : cost  0
7.402 * * [simplify]: Extracting # 1 : cost  0
7.404 * * [simplify]: Extracting # 2 : cost  0
7.408 * * [simplify]: Extracting # 3 : cost  0
7.412 * * [simplify]: Extracting # 4 : cost  0
7.416 * * [simplify]: iteration  5 :  3182  enodes  (cost  656 )
8.854 * * [simplify]: Extracting # 0 : cost  0
8.858 * * [simplify]: Extracting # 1 : cost  0
8.863 * * [simplify]: Extracting # 2 : cost  0
8.868 * * [simplify]: Extracting # 3 : cost  0
8.872 * * [simplify]: Extracting # 4 : cost  0
8.877 * * [simplify]: iteration done:  5001  enodes  (cost  656 )
8.878 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
8.878 * * * [progress]: adding candidates to table
9.215 * * [progress]: iteration 4 / 4
9.215 * * * [progress]: picking best candidate
9.220 * * * * [pick]: Picked  #<alt (λ (re im) (exp (log (sqrt (+ (* re re) (* im im))))))>
9.220 * * * [progress]: localizing error
9.235 * * * [progress]: generating rewritten candidates
9.235 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1)
9.243 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
9.254 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1)
9.265 * * * [progress]: generating series expansions
9.265 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1)
9.265 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
9.266 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
9.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.266 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.266 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.266 * [taylor]: Taking taylor expansion of re in im
9.266 * [backup-simplify]: Simplify re into re
9.266 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.266 * [taylor]: Taking taylor expansion of im in im
9.266 * [backup-simplify]: Simplify 0 into 0
9.266 * [backup-simplify]: Simplify 1 into 1
9.266 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.266 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.266 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.266 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.267 * [backup-simplify]: Simplify (+ 0 0) into 0
9.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.267 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.267 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.267 * [taylor]: Taking taylor expansion of re in re
9.267 * [backup-simplify]: Simplify 0 into 0
9.267 * [backup-simplify]: Simplify 1 into 1
9.267 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.267 * [taylor]: Taking taylor expansion of im in re
9.267 * [backup-simplify]: Simplify im into im
9.267 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.267 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.267 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.267 * [backup-simplify]: Simplify (+ 0 0) into 0
9.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.268 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.268 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.268 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.268 * [taylor]: Taking taylor expansion of re in re
9.268 * [backup-simplify]: Simplify 0 into 0
9.268 * [backup-simplify]: Simplify 1 into 1
9.268 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.268 * [taylor]: Taking taylor expansion of im in re
9.268 * [backup-simplify]: Simplify im into im
9.268 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.268 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.268 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.268 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.268 * [backup-simplify]: Simplify (+ 0 0) into 0
9.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.268 * [taylor]: Taking taylor expansion of im in im
9.268 * [backup-simplify]: Simplify 0 into 0
9.268 * [backup-simplify]: Simplify 1 into 1
9.268 * [backup-simplify]: Simplify 0 into 0
9.268 * [taylor]: Taking taylor expansion of 0 in im
9.269 * [backup-simplify]: Simplify 0 into 0
9.269 * [backup-simplify]: Simplify 0 into 0
9.269 * [backup-simplify]: Simplify 1 into 1
9.269 * [backup-simplify]: Simplify (* 1 1) into 1
9.269 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.269 * [backup-simplify]: Simplify (+ 1 0) into 1
9.270 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.270 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.270 * [taylor]: Taking taylor expansion of 1/2 in im
9.270 * [backup-simplify]: Simplify 1/2 into 1/2
9.270 * [taylor]: Taking taylor expansion of im in im
9.270 * [backup-simplify]: Simplify 0 into 0
9.270 * [backup-simplify]: Simplify 1 into 1
9.270 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.271 * [backup-simplify]: Simplify 0 into 0
9.271 * [backup-simplify]: Simplify 0 into 0
9.271 * [backup-simplify]: Simplify 0 into 0
9.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.272 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.272 * [backup-simplify]: Simplify (+ 0 0) into 0
9.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.272 * [taylor]: Taking taylor expansion of 0 in im
9.272 * [backup-simplify]: Simplify 0 into 0
9.272 * [backup-simplify]: Simplify 0 into 0
9.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.273 * [backup-simplify]: Simplify 0 into 0
9.273 * [backup-simplify]: Simplify 0 into 0
9.273 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.273 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.273 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.273 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.273 * [taylor]: Taking taylor expansion of im in im
9.273 * [backup-simplify]: Simplify 0 into 0
9.273 * [backup-simplify]: Simplify 1 into 1
9.273 * [backup-simplify]: Simplify (* 1 1) into 1
9.273 * [backup-simplify]: Simplify (/ 1 1) into 1
9.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.274 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.274 * [taylor]: Taking taylor expansion of re in im
9.274 * [backup-simplify]: Simplify re into re
9.274 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.274 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.274 * [backup-simplify]: Simplify (+ 1 0) into 1
9.274 * [backup-simplify]: Simplify (sqrt 1) into 1
9.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.275 * [backup-simplify]: Simplify (+ 0 0) into 0
9.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.276 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.276 * [taylor]: Taking taylor expansion of im in re
9.276 * [backup-simplify]: Simplify im into im
9.276 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.276 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.276 * [taylor]: Taking taylor expansion of re in re
9.276 * [backup-simplify]: Simplify 0 into 0
9.276 * [backup-simplify]: Simplify 1 into 1
9.276 * [backup-simplify]: Simplify (* 1 1) into 1
9.277 * [backup-simplify]: Simplify (/ 1 1) into 1
9.277 * [backup-simplify]: Simplify (+ 0 1) into 1
9.277 * [backup-simplify]: Simplify (sqrt 1) into 1
9.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.279 * [backup-simplify]: Simplify (+ 0 0) into 0
9.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.279 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.279 * [taylor]: Taking taylor expansion of im in re
9.279 * [backup-simplify]: Simplify im into im
9.279 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.280 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.280 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.280 * [taylor]: Taking taylor expansion of re in re
9.280 * [backup-simplify]: Simplify 0 into 0
9.280 * [backup-simplify]: Simplify 1 into 1
9.280 * [backup-simplify]: Simplify (* 1 1) into 1
9.280 * [backup-simplify]: Simplify (/ 1 1) into 1
9.281 * [backup-simplify]: Simplify (+ 0 1) into 1
9.281 * [backup-simplify]: Simplify (sqrt 1) into 1
9.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.283 * [backup-simplify]: Simplify (+ 0 0) into 0
9.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.283 * [taylor]: Taking taylor expansion of 1 in im
9.283 * [backup-simplify]: Simplify 1 into 1
9.283 * [taylor]: Taking taylor expansion of 0 in im
9.283 * [backup-simplify]: Simplify 0 into 0
9.284 * [backup-simplify]: Simplify 1 into 1
9.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.285 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.287 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.287 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.287 * [taylor]: Taking taylor expansion of 1/2 in im
9.287 * [backup-simplify]: Simplify 1/2 into 1/2
9.287 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.287 * [taylor]: Taking taylor expansion of im in im
9.287 * [backup-simplify]: Simplify 0 into 0
9.287 * [backup-simplify]: Simplify 1 into 1
9.287 * [backup-simplify]: Simplify (* 1 1) into 1
9.288 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.289 * [backup-simplify]: Simplify 0 into 0
9.289 * [backup-simplify]: Simplify 0 into 0
9.289 * [backup-simplify]: Simplify 0 into 0
9.289 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.292 * [backup-simplify]: Simplify (+ 0 0) into 0
9.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.292 * [taylor]: Taking taylor expansion of 0 in im
9.292 * [backup-simplify]: Simplify 0 into 0
9.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.294 * [backup-simplify]: Simplify 0 into 0
9.294 * [backup-simplify]: Simplify 0 into 0
9.294 * [backup-simplify]: Simplify 0 into 0
9.294 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.295 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.295 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.295 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.295 * [taylor]: Taking taylor expansion of im in im
9.295 * [backup-simplify]: Simplify 0 into 0
9.295 * [backup-simplify]: Simplify 1 into 1
9.295 * [backup-simplify]: Simplify (* 1 1) into 1
9.295 * [backup-simplify]: Simplify (/ 1 1) into 1
9.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.295 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.296 * [taylor]: Taking taylor expansion of re in im
9.296 * [backup-simplify]: Simplify re into re
9.296 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.296 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.296 * [backup-simplify]: Simplify (+ 1 0) into 1
9.296 * [backup-simplify]: Simplify (sqrt 1) into 1
9.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.298 * [backup-simplify]: Simplify (+ 0 0) into 0
9.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.299 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.299 * [taylor]: Taking taylor expansion of im in re
9.299 * [backup-simplify]: Simplify im into im
9.299 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.299 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.299 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.299 * [taylor]: Taking taylor expansion of re in re
9.299 * [backup-simplify]: Simplify 0 into 0
9.299 * [backup-simplify]: Simplify 1 into 1
9.300 * [backup-simplify]: Simplify (* 1 1) into 1
9.300 * [backup-simplify]: Simplify (/ 1 1) into 1
9.300 * [backup-simplify]: Simplify (+ 0 1) into 1
9.301 * [backup-simplify]: Simplify (sqrt 1) into 1
9.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.302 * [backup-simplify]: Simplify (+ 0 0) into 0
9.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.303 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.303 * [taylor]: Taking taylor expansion of im in re
9.303 * [backup-simplify]: Simplify im into im
9.303 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.303 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.303 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.303 * [taylor]: Taking taylor expansion of re in re
9.303 * [backup-simplify]: Simplify 0 into 0
9.303 * [backup-simplify]: Simplify 1 into 1
9.304 * [backup-simplify]: Simplify (* 1 1) into 1
9.304 * [backup-simplify]: Simplify (/ 1 1) into 1
9.304 * [backup-simplify]: Simplify (+ 0 1) into 1
9.305 * [backup-simplify]: Simplify (sqrt 1) into 1
9.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.306 * [backup-simplify]: Simplify (+ 0 0) into 0
9.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.307 * [taylor]: Taking taylor expansion of 1 in im
9.307 * [backup-simplify]: Simplify 1 into 1
9.307 * [taylor]: Taking taylor expansion of 0 in im
9.307 * [backup-simplify]: Simplify 0 into 0
9.307 * [backup-simplify]: Simplify 1 into 1
9.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.309 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.310 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.310 * [taylor]: Taking taylor expansion of 1/2 in im
9.310 * [backup-simplify]: Simplify 1/2 into 1/2
9.310 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.310 * [taylor]: Taking taylor expansion of im in im
9.310 * [backup-simplify]: Simplify 0 into 0
9.310 * [backup-simplify]: Simplify 1 into 1
9.310 * [backup-simplify]: Simplify (* 1 1) into 1
9.311 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.312 * [backup-simplify]: Simplify 0 into 0
9.312 * [backup-simplify]: Simplify 0 into 0
9.312 * [backup-simplify]: Simplify 0 into 0
9.312 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.315 * [backup-simplify]: Simplify (+ 0 0) into 0
9.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.316 * [taylor]: Taking taylor expansion of 0 in im
9.316 * [backup-simplify]: Simplify 0 into 0
9.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.317 * [backup-simplify]: Simplify 0 into 0
9.317 * [backup-simplify]: Simplify 0 into 0
9.317 * [backup-simplify]: Simplify 0 into 0
9.318 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.318 * * * * [progress]: [ 2 / 3 ] generating series at (2)
9.318 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
9.318 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
9.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.318 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.318 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.318 * [taylor]: Taking taylor expansion of re in im
9.318 * [backup-simplify]: Simplify re into re
9.318 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.318 * [taylor]: Taking taylor expansion of im in im
9.318 * [backup-simplify]: Simplify 0 into 0
9.318 * [backup-simplify]: Simplify 1 into 1
9.318 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.318 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.319 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.319 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.319 * [backup-simplify]: Simplify (+ 0 0) into 0
9.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.319 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.319 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.319 * [taylor]: Taking taylor expansion of re in re
9.319 * [backup-simplify]: Simplify 0 into 0
9.319 * [backup-simplify]: Simplify 1 into 1
9.319 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.319 * [taylor]: Taking taylor expansion of im in re
9.319 * [backup-simplify]: Simplify im into im
9.319 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.320 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.320 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.320 * [backup-simplify]: Simplify (+ 0 0) into 0
9.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.320 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.320 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.320 * [taylor]: Taking taylor expansion of re in re
9.320 * [backup-simplify]: Simplify 0 into 0
9.320 * [backup-simplify]: Simplify 1 into 1
9.320 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.320 * [taylor]: Taking taylor expansion of im in re
9.320 * [backup-simplify]: Simplify im into im
9.321 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.321 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.321 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.321 * [backup-simplify]: Simplify (+ 0 0) into 0
9.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.321 * [taylor]: Taking taylor expansion of im in im
9.321 * [backup-simplify]: Simplify 0 into 0
9.321 * [backup-simplify]: Simplify 1 into 1
9.322 * [backup-simplify]: Simplify 0 into 0
9.322 * [taylor]: Taking taylor expansion of 0 in im
9.322 * [backup-simplify]: Simplify 0 into 0
9.322 * [backup-simplify]: Simplify 0 into 0
9.322 * [backup-simplify]: Simplify 1 into 1
9.322 * [backup-simplify]: Simplify (* 1 1) into 1
9.322 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.323 * [backup-simplify]: Simplify (+ 1 0) into 1
9.324 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.324 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.324 * [taylor]: Taking taylor expansion of 1/2 in im
9.324 * [backup-simplify]: Simplify 1/2 into 1/2
9.324 * [taylor]: Taking taylor expansion of im in im
9.324 * [backup-simplify]: Simplify 0 into 0
9.324 * [backup-simplify]: Simplify 1 into 1
9.324 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.325 * [backup-simplify]: Simplify 0 into 0
9.325 * [backup-simplify]: Simplify 0 into 0
9.325 * [backup-simplify]: Simplify 0 into 0
9.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.326 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.327 * [backup-simplify]: Simplify (+ 0 0) into 0
9.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.327 * [taylor]: Taking taylor expansion of 0 in im
9.327 * [backup-simplify]: Simplify 0 into 0
9.327 * [backup-simplify]: Simplify 0 into 0
9.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.328 * [backup-simplify]: Simplify 0 into 0
9.328 * [backup-simplify]: Simplify 0 into 0
9.328 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.328 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.328 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.328 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.328 * [taylor]: Taking taylor expansion of im in im
9.329 * [backup-simplify]: Simplify 0 into 0
9.329 * [backup-simplify]: Simplify 1 into 1
9.329 * [backup-simplify]: Simplify (* 1 1) into 1
9.329 * [backup-simplify]: Simplify (/ 1 1) into 1
9.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.329 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.329 * [taylor]: Taking taylor expansion of re in im
9.329 * [backup-simplify]: Simplify re into re
9.329 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.330 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.330 * [backup-simplify]: Simplify (+ 1 0) into 1
9.330 * [backup-simplify]: Simplify (sqrt 1) into 1
9.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.332 * [backup-simplify]: Simplify (+ 0 0) into 0
9.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.332 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.332 * [taylor]: Taking taylor expansion of im in re
9.333 * [backup-simplify]: Simplify im into im
9.333 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.333 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.333 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.333 * [taylor]: Taking taylor expansion of re in re
9.333 * [backup-simplify]: Simplify 0 into 0
9.333 * [backup-simplify]: Simplify 1 into 1
9.333 * [backup-simplify]: Simplify (* 1 1) into 1
9.334 * [backup-simplify]: Simplify (/ 1 1) into 1
9.334 * [backup-simplify]: Simplify (+ 0 1) into 1
9.338 * [backup-simplify]: Simplify (sqrt 1) into 1
9.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.340 * [backup-simplify]: Simplify (+ 0 0) into 0
9.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.340 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.341 * [taylor]: Taking taylor expansion of im in re
9.341 * [backup-simplify]: Simplify im into im
9.341 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.341 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.341 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.341 * [taylor]: Taking taylor expansion of re in re
9.341 * [backup-simplify]: Simplify 0 into 0
9.341 * [backup-simplify]: Simplify 1 into 1
9.341 * [backup-simplify]: Simplify (* 1 1) into 1
9.342 * [backup-simplify]: Simplify (/ 1 1) into 1
9.342 * [backup-simplify]: Simplify (+ 0 1) into 1
9.342 * [backup-simplify]: Simplify (sqrt 1) into 1
9.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.344 * [backup-simplify]: Simplify (+ 0 0) into 0
9.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.345 * [taylor]: Taking taylor expansion of 1 in im
9.345 * [backup-simplify]: Simplify 1 into 1
9.345 * [taylor]: Taking taylor expansion of 0 in im
9.345 * [backup-simplify]: Simplify 0 into 0
9.345 * [backup-simplify]: Simplify 1 into 1
9.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.347 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.348 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.348 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.348 * [taylor]: Taking taylor expansion of 1/2 in im
9.348 * [backup-simplify]: Simplify 1/2 into 1/2
9.348 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.348 * [taylor]: Taking taylor expansion of im in im
9.348 * [backup-simplify]: Simplify 0 into 0
9.348 * [backup-simplify]: Simplify 1 into 1
9.348 * [backup-simplify]: Simplify (* 1 1) into 1
9.349 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.350 * [backup-simplify]: Simplify 0 into 0
9.350 * [backup-simplify]: Simplify 0 into 0
9.350 * [backup-simplify]: Simplify 0 into 0
9.350 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.352 * [backup-simplify]: Simplify (+ 0 0) into 0
9.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.353 * [taylor]: Taking taylor expansion of 0 in im
9.353 * [backup-simplify]: Simplify 0 into 0
9.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.355 * [backup-simplify]: Simplify 0 into 0
9.355 * [backup-simplify]: Simplify 0 into 0
9.355 * [backup-simplify]: Simplify 0 into 0
9.355 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.355 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.355 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.355 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.355 * [taylor]: Taking taylor expansion of im in im
9.356 * [backup-simplify]: Simplify 0 into 0
9.356 * [backup-simplify]: Simplify 1 into 1
9.356 * [backup-simplify]: Simplify (* 1 1) into 1
9.356 * [backup-simplify]: Simplify (/ 1 1) into 1
9.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.356 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.356 * [taylor]: Taking taylor expansion of re in im
9.356 * [backup-simplify]: Simplify re into re
9.356 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.357 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.357 * [backup-simplify]: Simplify (+ 1 0) into 1
9.357 * [backup-simplify]: Simplify (sqrt 1) into 1
9.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.359 * [backup-simplify]: Simplify (+ 0 0) into 0
9.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.359 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.360 * [taylor]: Taking taylor expansion of im in re
9.360 * [backup-simplify]: Simplify im into im
9.360 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.360 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.360 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.360 * [taylor]: Taking taylor expansion of re in re
9.360 * [backup-simplify]: Simplify 0 into 0
9.360 * [backup-simplify]: Simplify 1 into 1
9.360 * [backup-simplify]: Simplify (* 1 1) into 1
9.361 * [backup-simplify]: Simplify (/ 1 1) into 1
9.361 * [backup-simplify]: Simplify (+ 0 1) into 1
9.361 * [backup-simplify]: Simplify (sqrt 1) into 1
9.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.363 * [backup-simplify]: Simplify (+ 0 0) into 0
9.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.364 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.364 * [taylor]: Taking taylor expansion of im in re
9.364 * [backup-simplify]: Simplify im into im
9.364 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.364 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.364 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.364 * [taylor]: Taking taylor expansion of re in re
9.364 * [backup-simplify]: Simplify 0 into 0
9.364 * [backup-simplify]: Simplify 1 into 1
9.365 * [backup-simplify]: Simplify (* 1 1) into 1
9.365 * [backup-simplify]: Simplify (/ 1 1) into 1
9.365 * [backup-simplify]: Simplify (+ 0 1) into 1
9.366 * [backup-simplify]: Simplify (sqrt 1) into 1
9.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.367 * [backup-simplify]: Simplify (+ 0 0) into 0
9.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.368 * [taylor]: Taking taylor expansion of 1 in im
9.368 * [backup-simplify]: Simplify 1 into 1
9.368 * [taylor]: Taking taylor expansion of 0 in im
9.368 * [backup-simplify]: Simplify 0 into 0
9.368 * [backup-simplify]: Simplify 1 into 1
9.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.370 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.371 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.371 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.371 * [taylor]: Taking taylor expansion of 1/2 in im
9.371 * [backup-simplify]: Simplify 1/2 into 1/2
9.371 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.371 * [taylor]: Taking taylor expansion of im in im
9.372 * [backup-simplify]: Simplify 0 into 0
9.372 * [backup-simplify]: Simplify 1 into 1
9.372 * [backup-simplify]: Simplify (* 1 1) into 1
9.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.374 * [backup-simplify]: Simplify 0 into 0
9.374 * [backup-simplify]: Simplify 0 into 0
9.374 * [backup-simplify]: Simplify 0 into 0
9.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.376 * [backup-simplify]: Simplify (+ 0 0) into 0
9.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.377 * [taylor]: Taking taylor expansion of 0 in im
9.377 * [backup-simplify]: Simplify 0 into 0
9.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.379 * [backup-simplify]: Simplify 0 into 0
9.379 * [backup-simplify]: Simplify 0 into 0
9.379 * [backup-simplify]: Simplify 0 into 0
9.379 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.379 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1)
9.379 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
9.379 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
9.379 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.379 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.379 * [taylor]: Taking taylor expansion of re in im
9.380 * [backup-simplify]: Simplify re into re
9.380 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.380 * [taylor]: Taking taylor expansion of im in im
9.380 * [backup-simplify]: Simplify 0 into 0
9.380 * [backup-simplify]: Simplify 1 into 1
9.380 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.380 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.380 * [taylor]: Taking taylor expansion of re in re
9.380 * [backup-simplify]: Simplify 0 into 0
9.380 * [backup-simplify]: Simplify 1 into 1
9.380 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.380 * [taylor]: Taking taylor expansion of im in re
9.380 * [backup-simplify]: Simplify im into im
9.380 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.380 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.380 * [taylor]: Taking taylor expansion of re in re
9.380 * [backup-simplify]: Simplify 0 into 0
9.380 * [backup-simplify]: Simplify 1 into 1
9.380 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.380 * [taylor]: Taking taylor expansion of im in re
9.380 * [backup-simplify]: Simplify im into im
9.380 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.380 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.380 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.380 * [taylor]: Taking taylor expansion of im in im
9.381 * [backup-simplify]: Simplify 0 into 0
9.381 * [backup-simplify]: Simplify 1 into 1
9.381 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.381 * [backup-simplify]: Simplify (+ 0 0) into 0
9.381 * [taylor]: Taking taylor expansion of 0 in im
9.381 * [backup-simplify]: Simplify 0 into 0
9.381 * [backup-simplify]: Simplify 0 into 0
9.382 * [backup-simplify]: Simplify (* 1 1) into 1
9.382 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.382 * [backup-simplify]: Simplify (+ 1 0) into 1
9.382 * [taylor]: Taking taylor expansion of 1 in im
9.383 * [backup-simplify]: Simplify 1 into 1
9.383 * [backup-simplify]: Simplify 1 into 1
9.383 * [backup-simplify]: Simplify 0 into 0
9.383 * [backup-simplify]: Simplify (* 1 1) into 1
9.383 * [backup-simplify]: Simplify 1 into 1
9.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.385 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.385 * [backup-simplify]: Simplify (+ 0 0) into 0
9.385 * [taylor]: Taking taylor expansion of 0 in im
9.385 * [backup-simplify]: Simplify 0 into 0
9.385 * [backup-simplify]: Simplify 0 into 0
9.385 * [backup-simplify]: Simplify 0 into 0
9.385 * [backup-simplify]: Simplify 0 into 0
9.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.386 * [backup-simplify]: Simplify 0 into 0
9.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.388 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
9.388 * [backup-simplify]: Simplify (+ 0 0) into 0
9.388 * [taylor]: Taking taylor expansion of 0 in im
9.388 * [backup-simplify]: Simplify 0 into 0
9.388 * [backup-simplify]: Simplify 0 into 0
9.388 * [backup-simplify]: Simplify 0 into 0
9.389 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
9.389 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
9.389 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
9.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.389 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.389 * [taylor]: Taking taylor expansion of im in im
9.389 * [backup-simplify]: Simplify 0 into 0
9.389 * [backup-simplify]: Simplify 1 into 1
9.390 * [backup-simplify]: Simplify (* 1 1) into 1
9.390 * [backup-simplify]: Simplify (/ 1 1) into 1
9.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.390 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.390 * [taylor]: Taking taylor expansion of re in im
9.390 * [backup-simplify]: Simplify re into re
9.390 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.390 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.390 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.390 * [taylor]: Taking taylor expansion of im in re
9.390 * [backup-simplify]: Simplify im into im
9.390 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.391 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.391 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.391 * [taylor]: Taking taylor expansion of re in re
9.391 * [backup-simplify]: Simplify 0 into 0
9.391 * [backup-simplify]: Simplify 1 into 1
9.391 * [backup-simplify]: Simplify (* 1 1) into 1
9.391 * [backup-simplify]: Simplify (/ 1 1) into 1
9.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.392 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.392 * [taylor]: Taking taylor expansion of im in re
9.392 * [backup-simplify]: Simplify im into im
9.392 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.392 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.392 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.392 * [taylor]: Taking taylor expansion of re in re
9.392 * [backup-simplify]: Simplify 0 into 0
9.392 * [backup-simplify]: Simplify 1 into 1
9.392 * [backup-simplify]: Simplify (* 1 1) into 1
9.393 * [backup-simplify]: Simplify (/ 1 1) into 1
9.393 * [backup-simplify]: Simplify (+ 0 1) into 1
9.393 * [taylor]: Taking taylor expansion of 1 in im
9.393 * [backup-simplify]: Simplify 1 into 1
9.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.395 * [backup-simplify]: Simplify (+ 0 0) into 0
9.395 * [taylor]: Taking taylor expansion of 0 in im
9.395 * [backup-simplify]: Simplify 0 into 0
9.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.397 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.397 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.397 * [taylor]: Taking taylor expansion of im in im
9.397 * [backup-simplify]: Simplify 0 into 0
9.397 * [backup-simplify]: Simplify 1 into 1
9.397 * [backup-simplify]: Simplify (* 1 1) into 1
9.398 * [backup-simplify]: Simplify (/ 1 1) into 1
9.398 * [backup-simplify]: Simplify 1 into 1
9.398 * [backup-simplify]: Simplify 1 into 1
9.398 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.400 * [backup-simplify]: Simplify (+ 0 0) into 0
9.400 * [taylor]: Taking taylor expansion of 0 in im
9.400 * [backup-simplify]: Simplify 0 into 0
9.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.402 * [backup-simplify]: Simplify 0 into 0
9.402 * [backup-simplify]: Simplify 0 into 0
9.402 * [backup-simplify]: Simplify 0 into 0
9.402 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
9.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.405 * [backup-simplify]: Simplify (+ 0 0) into 0
9.405 * [taylor]: Taking taylor expansion of 0 in im
9.405 * [backup-simplify]: Simplify 0 into 0
9.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.406 * [backup-simplify]: Simplify 0 into 0
9.406 * [backup-simplify]: Simplify 0 into 0
9.407 * [backup-simplify]: Simplify 0 into 0
9.407 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
9.407 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
9.407 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
9.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.407 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.407 * [taylor]: Taking taylor expansion of im in im
9.408 * [backup-simplify]: Simplify 0 into 0
9.408 * [backup-simplify]: Simplify 1 into 1
9.408 * [backup-simplify]: Simplify (* 1 1) into 1
9.408 * [backup-simplify]: Simplify (/ 1 1) into 1
9.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.408 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.408 * [taylor]: Taking taylor expansion of re in im
9.408 * [backup-simplify]: Simplify re into re
9.408 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.409 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.409 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.409 * [taylor]: Taking taylor expansion of im in re
9.409 * [backup-simplify]: Simplify im into im
9.409 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.409 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.409 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.409 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.409 * [taylor]: Taking taylor expansion of re in re
9.409 * [backup-simplify]: Simplify 0 into 0
9.409 * [backup-simplify]: Simplify 1 into 1
9.409 * [backup-simplify]: Simplify (* 1 1) into 1
9.410 * [backup-simplify]: Simplify (/ 1 1) into 1
9.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.410 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.410 * [taylor]: Taking taylor expansion of im in re
9.410 * [backup-simplify]: Simplify im into im
9.410 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.410 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.410 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.410 * [taylor]: Taking taylor expansion of re in re
9.410 * [backup-simplify]: Simplify 0 into 0
9.410 * [backup-simplify]: Simplify 1 into 1
9.411 * [backup-simplify]: Simplify (* 1 1) into 1
9.411 * [backup-simplify]: Simplify (/ 1 1) into 1
9.411 * [backup-simplify]: Simplify (+ 0 1) into 1
9.411 * [taylor]: Taking taylor expansion of 1 in im
9.411 * [backup-simplify]: Simplify 1 into 1
9.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.413 * [backup-simplify]: Simplify (+ 0 0) into 0
9.413 * [taylor]: Taking taylor expansion of 0 in im
9.413 * [backup-simplify]: Simplify 0 into 0
9.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.415 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.415 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.415 * [taylor]: Taking taylor expansion of im in im
9.415 * [backup-simplify]: Simplify 0 into 0
9.415 * [backup-simplify]: Simplify 1 into 1
9.415 * [backup-simplify]: Simplify (* 1 1) into 1
9.416 * [backup-simplify]: Simplify (/ 1 1) into 1
9.416 * [backup-simplify]: Simplify 1 into 1
9.416 * [backup-simplify]: Simplify 1 into 1
9.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.418 * [backup-simplify]: Simplify (+ 0 0) into 0
9.418 * [taylor]: Taking taylor expansion of 0 in im
9.418 * [backup-simplify]: Simplify 0 into 0
9.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.420 * [backup-simplify]: Simplify 0 into 0
9.420 * [backup-simplify]: Simplify 0 into 0
9.420 * [backup-simplify]: Simplify 0 into 0
9.420 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
9.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.423 * [backup-simplify]: Simplify (+ 0 0) into 0
9.423 * [taylor]: Taking taylor expansion of 0 in im
9.423 * [backup-simplify]: Simplify 0 into 0
9.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.425 * [backup-simplify]: Simplify 0 into 0
9.425 * [backup-simplify]: Simplify 0 into 0
9.425 * [backup-simplify]: Simplify 0 into 0
9.425 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
9.425 * * * [progress]: simplifying candidates
9.427 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (exp (log (sqrt (cbrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (exp (log (sqrt (- (* re re) (* im im)))))
  (log (exp (log (sqrt (+ (* re re) (* im im))))))
  (exp (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))
  (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
9.428 * * [simplify]: Extracting # 0 : cost  0
9.429 * * [simplify]: Extracting # 1 : cost  0
9.429 * * [simplify]: Extracting # 2 : cost  0
9.429 * * [simplify]: Extracting # 3 : cost  0
9.429 * * [simplify]: Extracting # 4 : cost  0
9.429 * * [simplify]: Extracting # 5 : cost  0
9.429 * * [simplify]: Extracting # 6 : cost  0
9.430 * * [simplify]: iteration  0 :  87  enodes  (cost  739 )
9.458 * * [simplify]: Extracting # 0 : cost  0
9.458 * * [simplify]: Extracting # 1 : cost  0
9.458 * * [simplify]: Extracting # 2 : cost  0
9.458 * * [simplify]: Extracting # 3 : cost  0
9.458 * * [simplify]: Extracting # 4 : cost  0
9.459 * * [simplify]: iteration  1 :  169  enodes  (cost  626 )
9.518 * * [simplify]: Extracting # 0 : cost  0
9.518 * * [simplify]: Extracting # 1 : cost  0
9.519 * * [simplify]: Extracting # 2 : cost  0
9.519 * * [simplify]: Extracting # 3 : cost  0
9.520 * * [simplify]: Extracting # 4 : cost  0
9.520 * * [simplify]: iteration  2 :  398  enodes  (cost  534 )
9.709 * * [simplify]: Extracting # 0 : cost  0
9.710 * * [simplify]: Extracting # 1 : cost  0
9.711 * * [simplify]: Extracting # 2 : cost  0
9.712 * * [simplify]: Extracting # 3 : cost  0
9.713 * * [simplify]: Extracting # 4 : cost  0
9.714 * * [simplify]: iteration  3 :  1056  enodes  (cost  534 )
10.484 * * [simplify]: Extracting # 0 : cost  0
10.487 * * [simplify]: Extracting # 1 : cost  0
10.489 * * [simplify]: Extracting # 2 : cost  0
10.492 * * [simplify]: Extracting # 3 : cost  0
10.494 * * [simplify]: Extracting # 4 : cost  0
10.496 * * [simplify]: iteration  4 :  2807  enodes  (cost  528 )
11.787 * * [simplify]: Extracting # 0 : cost  0
11.793 * * [simplify]: Extracting # 1 : cost  0
11.801 * * [simplify]: Extracting # 2 : cost  0
11.808 * * [simplify]: Extracting # 3 : cost  0
11.819 * * [simplify]: Extracting # 4 : cost  0
11.827 * * [simplify]: Extracting # 5 : cost  0
11.834 * * [simplify]: iteration done:  5001  enodes  (cost  528 )
11.834 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp 1/2)
  E
  (exp 1/2)
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  E
  (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (* re re) (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (pow (+ (* re re) (* im im)) 3)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow im 6) (pow re 6))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (- (* re re) (* im im))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
11.835 * * * [progress]: adding candidates to table
11.991 * [progress]: [Phase 3 of 3] Extracting.
11.991 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)>)
11.992 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re)
11.992 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)>)
12.034 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (- re))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)>)
12.069 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)>)
12.112 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))>)
12.138 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)>)
12.194 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))>)
12.217 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)>)
12.260 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))>)
12.282 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)>)
12.332 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)>)
12.397 * * * [regime]: Found split indices: #<option (#s(si 2 34) #s(si 7 211) #s(si 9 255))>
12.398 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)>)
12.452 * [regimes]: Found splitpoints: (#s(sp 2 re -1.1564076018637175e+112) #s(sp 7 re 1.3595155319523303e+138) #s(sp 9 re +nan.0)) , with alts (#<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) re)>)
12.452 * [simplify]: Simplifying:
  (if (<= re -1.1564076018637175e+112) (- re) (if (<= re 1.3595155319523303e+138) (sqrt (+ (* re re) (* im im))) re))
12.453 * * [simplify]: Extracting # 0 : cost  0
12.453 * * [simplify]: Extracting # 1 : cost  0
12.453 * * [simplify]: Extracting # 2 : cost  0
12.453 * * [simplify]: Extracting # 3 : cost  0
12.453 * * [simplify]: Extracting # 4 : cost  0
12.453 * * [simplify]: Extracting # 5 : cost  0
12.453 * * [simplify]: Extracting # 6 : cost  0
12.453 * * [simplify]: Extracting # 7 : cost  0
12.453 * * [simplify]: Extracting # 8 : cost  0
12.453 * * [simplify]: Extracting # 9 : cost  0
12.453 * * [simplify]: iteration  0 :  13  enodes  (cost  19 )
12.455 * * [simplify]: Extracting # 0 : cost  0
12.455 * * [simplify]: iteration  1 :  14  enodes  (cost  19 )
12.456 * * [simplify]: Extracting # 0 : cost  0
12.456 * * [simplify]: iteration done:  14  enodes  (cost  19 )
12.456 * [simplify]: Simplified to:
  (if (<= re -1.1564076018637175e+112) (- re) (if (<= re 1.3595155319523303e+138) (sqrt (+ (* re re) (* im im))) re))
13.612 * [regime-testing]: Baseline error score: 31.60898001601765
13.616 * [regime-testing]: Oracle error score: 7.884190684029036
13.622 * [regime-testing]: End program error score: 17.792082895301338