32.483 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.045 * * * [progress]: [2/2] Setting up program.
0.051 * [progress]: [Phase 2 of 3] Improving.
0.051 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.051 * * [simplify]: Extracting # 0 : cost  0
0.051 * * [simplify]: Extracting # 1 : cost  0
0.051 * * [simplify]: Extracting # 2 : cost  0
0.051 * * [simplify]: Extracting # 3 : cost  0
0.051 * * [simplify]: Extracting # 4 : cost  0
0.052 * * [simplify]: Extracting # 5 : cost  0
0.052 * * [simplify]: Extracting # 6 : cost  0
0.052 * * [simplify]: Extracting # 7 : cost  0
0.052 * * [simplify]: Extracting # 8 : cost  0
0.052 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.056 * * [simplify]: Extracting # 0 : cost  0
0.056 * * [simplify]: Extracting # 1 : cost  0
0.056 * * [simplify]: Extracting # 2 : cost  0
0.056 * * [simplify]: iteration  1 :  24  enodes  (cost  10 )
0.064 * * [simplify]: Extracting # 0 : cost  0
0.064 * * [simplify]: iteration  2 :  30  enodes  (cost  10 )
0.068 * * [simplify]: Extracting # 0 : cost  0
0.068 * * [simplify]: iteration  3 :  32  enodes  (cost  10 )
0.072 * * [simplify]: Extracting # 0 : cost  0
0.072 * * [simplify]: iteration done:  32  enodes  (cost  10 )
0.072 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0)))
0.077 * * [progress]: iteration 1 / 4
0.077 * * * [progress]: picking best candidate
0.082 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))))>
0.082 * * * [progress]: localizing error
0.091 * * * [progress]: generating rewritten candidates
0.091 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
0.098 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.106 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 2)
0.108 * * * [progress]: generating series expansions
0.108 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1)
0.108 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
0.108 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
0.108 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.108 * [taylor]: Taking taylor expansion of re in im
0.108 * [backup-simplify]: Simplify re into re
0.108 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.108 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.108 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.108 * [taylor]: Taking taylor expansion of (* re re) in im
0.108 * [taylor]: Taking taylor expansion of re in im
0.108 * [backup-simplify]: Simplify re into re
0.108 * [taylor]: Taking taylor expansion of re in im
0.108 * [backup-simplify]: Simplify re into re
0.108 * [taylor]: Taking taylor expansion of (* im im) in im
0.108 * [taylor]: Taking taylor expansion of im in im
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [taylor]: Taking taylor expansion of im in im
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.109 * [backup-simplify]: Simplify (* 0 0) into 0
0.109 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.109 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.109 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.109 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.110 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.110 * [taylor]: Taking taylor expansion of re in re
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.110 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.110 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.110 * [taylor]: Taking taylor expansion of (* re re) in re
0.110 * [taylor]: Taking taylor expansion of re in re
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [taylor]: Taking taylor expansion of re in re
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [taylor]: Taking taylor expansion of (* im im) in re
0.110 * [taylor]: Taking taylor expansion of im in re
0.110 * [backup-simplify]: Simplify im into im
0.110 * [taylor]: Taking taylor expansion of im in re
0.110 * [backup-simplify]: Simplify im into im
0.111 * [backup-simplify]: Simplify (* 0 0) into 0
0.111 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.111 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.111 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.111 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.112 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.112 * [taylor]: Taking taylor expansion of re in re
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.112 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.112 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.112 * [taylor]: Taking taylor expansion of (* re re) in re
0.112 * [taylor]: Taking taylor expansion of re in re
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [taylor]: Taking taylor expansion of re in re
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [taylor]: Taking taylor expansion of (* im im) in re
0.112 * [taylor]: Taking taylor expansion of im in re
0.112 * [backup-simplify]: Simplify im into im
0.112 * [taylor]: Taking taylor expansion of im in re
0.112 * [backup-simplify]: Simplify im into im
0.112 * [backup-simplify]: Simplify (* 0 0) into 0
0.112 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.112 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.113 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.113 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.113 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.113 * [backup-simplify]: Simplify (+ 0 im) into im
0.113 * [taylor]: Taking taylor expansion of im in im
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (+ 1 0) into 1
0.114 * [taylor]: Taking taylor expansion of 1 in im
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.115 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.115 * [backup-simplify]: Simplify (+ 1 0) into 1
0.116 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.116 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.116 * [taylor]: Taking taylor expansion of 1/2 in im
0.116 * [backup-simplify]: Simplify 1/2 into 1/2
0.116 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.116 * [taylor]: Taking taylor expansion of im in im
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [backup-simplify]: Simplify (/ 1 1) into 1
0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.131 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [taylor]: Taking taylor expansion of 0 in im
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.134 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.134 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.134 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.134 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.135 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.135 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.135 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.135 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.135 * [taylor]: Taking taylor expansion of re in im
0.135 * [backup-simplify]: Simplify re into re
0.135 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.135 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.135 * [taylor]: Taking taylor expansion of re in im
0.135 * [backup-simplify]: Simplify re into re
0.135 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.135 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.135 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.135 * [taylor]: Taking taylor expansion of im in im
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (/ 1 1) into 1
0.136 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.136 * [taylor]: Taking taylor expansion of im in im
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (/ 1 1) into 1
0.138 * [backup-simplify]: Simplify (* 1 1) into 1
0.138 * [backup-simplify]: Simplify (+ 0 1) into 1
0.139 * [backup-simplify]: Simplify (sqrt 1) into 1
0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.142 * [backup-simplify]: Simplify (+ 0 0) into 0
0.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.143 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.143 * [taylor]: Taking taylor expansion of re in im
0.143 * [backup-simplify]: Simplify re into re
0.143 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.143 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.143 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.143 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.143 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.143 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.143 * [taylor]: Taking taylor expansion of re in re
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 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.144 * [taylor]: Taking taylor expansion of re in re
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (/ 1 1) into 1
0.144 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.144 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.144 * [taylor]: Taking taylor expansion of im in re
0.144 * [backup-simplify]: Simplify im into im
0.144 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.145 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.145 * [taylor]: Taking taylor expansion of im in re
0.145 * [backup-simplify]: Simplify im into im
0.145 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.145 * [backup-simplify]: Simplify (* 1 1) into 1
0.146 * [backup-simplify]: Simplify (+ 1 0) into 1
0.146 * [backup-simplify]: Simplify (sqrt 1) into 1
0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.150 * [taylor]: Taking taylor expansion of re in re
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (/ 1 1) into 1
0.150 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.150 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.150 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.150 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.150 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.151 * [taylor]: Taking taylor expansion of re in re
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (/ 1 1) into 1
0.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.151 * [taylor]: Taking taylor expansion of re in re
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (/ 1 1) into 1
0.152 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.152 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.152 * [taylor]: Taking taylor expansion of im in re
0.152 * [backup-simplify]: Simplify im into im
0.152 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.152 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.152 * [taylor]: Taking taylor expansion of im in re
0.152 * [backup-simplify]: Simplify im into im
0.152 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.152 * [backup-simplify]: Simplify (* 1 1) into 1
0.153 * [backup-simplify]: Simplify (+ 1 0) into 1
0.153 * [backup-simplify]: Simplify (sqrt 1) into 1
0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.157 * [taylor]: Taking taylor expansion of re in re
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (/ 1 1) into 1
0.158 * [backup-simplify]: Simplify (+ 1 1) into 2
0.158 * [taylor]: Taking taylor expansion of 2 in im
0.158 * [backup-simplify]: Simplify 2 into 2
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [taylor]: Taking taylor expansion of 0 in im
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 2 into 2
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.161 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.161 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.162 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.163 * [taylor]: Taking taylor expansion of 1/2 in im
0.163 * [backup-simplify]: Simplify 1/2 into 1/2
0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.163 * [taylor]: Taking taylor expansion of im in im
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [backup-simplify]: Simplify (* 1 1) into 1
0.163 * [backup-simplify]: Simplify (/ 1 1) into 1
0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.166 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.168 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [taylor]: Taking taylor expansion of 0 in im
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.170 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.170 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.170 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.170 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.170 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.170 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.170 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.170 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.170 * [taylor]: Taking taylor expansion of -1 in im
0.170 * [backup-simplify]: Simplify -1 into -1
0.170 * [taylor]: Taking taylor expansion of re in im
0.170 * [backup-simplify]: Simplify re into re
0.170 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.170 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.170 * [taylor]: Taking taylor expansion of -1 in im
0.170 * [backup-simplify]: Simplify -1 into -1
0.170 * [taylor]: Taking taylor expansion of re in im
0.170 * [backup-simplify]: Simplify re into re
0.170 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.170 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.170 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.170 * [taylor]: Taking taylor expansion of -1 in im
0.170 * [backup-simplify]: Simplify -1 into -1
0.170 * [taylor]: Taking taylor expansion of im in im
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (/ -1 1) into -1
0.171 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.171 * [taylor]: Taking taylor expansion of -1 in im
0.171 * [backup-simplify]: Simplify -1 into -1
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
0.171 * [backup-simplify]: Simplify (* -1 -1) into 1
0.172 * [backup-simplify]: Simplify (+ 0 1) into 1
0.172 * [backup-simplify]: Simplify (sqrt 1) into 1
0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.174 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.174 * [taylor]: Taking taylor expansion of re in im
0.174 * [backup-simplify]: Simplify re into re
0.174 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.174 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.174 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.174 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.174 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.174 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.174 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.174 * [taylor]: Taking taylor expansion of -1 in re
0.174 * [backup-simplify]: Simplify -1 into -1
0.174 * [taylor]: Taking taylor expansion of re in re
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ -1 1) into -1
0.175 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.175 * [taylor]: Taking taylor expansion of -1 in re
0.175 * [backup-simplify]: Simplify -1 into -1
0.175 * [taylor]: Taking taylor expansion of re in re
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ -1 1) into -1
0.175 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.175 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.175 * [taylor]: Taking taylor expansion of -1 in re
0.175 * [backup-simplify]: Simplify -1 into -1
0.175 * [taylor]: Taking taylor expansion of im in re
0.175 * [backup-simplify]: Simplify im into im
0.175 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.175 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.175 * [taylor]: Taking taylor expansion of -1 in re
0.175 * [backup-simplify]: Simplify -1 into -1
0.175 * [taylor]: Taking taylor expansion of im in re
0.175 * [backup-simplify]: Simplify im into im
0.175 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.176 * [backup-simplify]: Simplify (* -1 -1) into 1
0.176 * [backup-simplify]: Simplify (+ 1 0) into 1
0.176 * [backup-simplify]: Simplify (sqrt 1) into 1
0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) into 0
0.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.178 * [taylor]: Taking taylor expansion of re in re
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 1 into 1
0.178 * [backup-simplify]: Simplify (/ 1 1) into 1
0.179 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.179 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.179 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.179 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.179 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.179 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.179 * [taylor]: Taking taylor expansion of -1 in re
0.179 * [backup-simplify]: Simplify -1 into -1
0.179 * [taylor]: Taking taylor expansion of re in re
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.179 * [backup-simplify]: Simplify (/ -1 1) into -1
0.179 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.179 * [taylor]: Taking taylor expansion of -1 in re
0.179 * [backup-simplify]: Simplify -1 into -1
0.179 * [taylor]: Taking taylor expansion of re in re
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.180 * [backup-simplify]: Simplify (/ -1 1) into -1
0.180 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.180 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.180 * [taylor]: Taking taylor expansion of -1 in re
0.180 * [backup-simplify]: Simplify -1 into -1
0.180 * [taylor]: Taking taylor expansion of im in re
0.180 * [backup-simplify]: Simplify im into im
0.180 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.180 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.180 * [taylor]: Taking taylor expansion of -1 in re
0.180 * [backup-simplify]: Simplify -1 into -1
0.180 * [taylor]: Taking taylor expansion of im in re
0.180 * [backup-simplify]: Simplify im into im
0.180 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.180 * [backup-simplify]: Simplify (* -1 -1) into 1
0.180 * [backup-simplify]: Simplify (+ 1 0) into 1
0.181 * [backup-simplify]: Simplify (sqrt 1) into 1
0.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.183 * [taylor]: Taking taylor expansion of re in re
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (/ 1 1) into 1
0.183 * [backup-simplify]: Simplify (- 1) into -1
0.184 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.184 * [taylor]: Taking taylor expansion of 0 in im
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.184 * [backup-simplify]: Simplify (- 0) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [taylor]: Taking taylor expansion of 0 in im
0.184 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.186 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.186 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.188 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (- 0) into 0
0.189 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.189 * [taylor]: Taking taylor expansion of 1/2 in im
0.189 * [backup-simplify]: Simplify 1/2 into 1/2
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.190 * [taylor]: Taking taylor expansion of im in im
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify (* 1 1) into 1
0.190 * [backup-simplify]: Simplify (/ 1 1) into 1
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.196 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.196 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.196 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (- 0) into 0
0.199 * [backup-simplify]: Simplify (+ 0 0) into 0
0.199 * [taylor]: Taking taylor expansion of 0 in im
0.199 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.203 * [backup-simplify]: Simplify (sqrt (* (+ re (hypot re im)) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
0.203 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
0.203 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
0.203 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
0.203 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.203 * [taylor]: Taking taylor expansion of re in im
0.203 * [backup-simplify]: Simplify re into re
0.203 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.203 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.203 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.203 * [taylor]: Taking taylor expansion of (* re re) in im
0.203 * [taylor]: Taking taylor expansion of re in im
0.203 * [backup-simplify]: Simplify re into re
0.203 * [taylor]: Taking taylor expansion of re in im
0.203 * [backup-simplify]: Simplify re into re
0.203 * [taylor]: Taking taylor expansion of (* im im) in im
0.203 * [taylor]: Taking taylor expansion of im in im
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.203 * [taylor]: Taking taylor expansion of im in im
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.203 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.204 * [backup-simplify]: Simplify (* 0 0) into 0
0.204 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.204 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.204 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.205 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.206 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.206 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.206 * [taylor]: Taking taylor expansion of 2.0 in im
0.206 * [backup-simplify]: Simplify 2.0 into 2.0
0.207 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.207 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
0.208 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
0.208 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.208 * [taylor]: Taking taylor expansion of re in re
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.208 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.208 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.208 * [taylor]: Taking taylor expansion of (* re re) in re
0.208 * [taylor]: Taking taylor expansion of re in re
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [taylor]: Taking taylor expansion of re in re
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [taylor]: Taking taylor expansion of (* im im) in re
0.208 * [taylor]: Taking taylor expansion of im in re
0.208 * [backup-simplify]: Simplify im into im
0.208 * [taylor]: Taking taylor expansion of im in re
0.208 * [backup-simplify]: Simplify im into im
0.209 * [backup-simplify]: Simplify (* 0 0) into 0
0.209 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.209 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.209 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.210 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.210 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 im) into im
0.210 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.211 * [backup-simplify]: Simplify (+ 1 0) into 1
0.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.211 * [taylor]: Taking taylor expansion of 2.0 in re
0.211 * [backup-simplify]: Simplify 2.0 into 2.0
0.211 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.212 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
0.212 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
0.212 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.212 * [taylor]: Taking taylor expansion of re in re
0.212 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.213 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.213 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.213 * [taylor]: Taking taylor expansion of (* re re) in re
0.213 * [taylor]: Taking taylor expansion of re in re
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [taylor]: Taking taylor expansion of re in re
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [taylor]: Taking taylor expansion of (* im im) in re
0.213 * [taylor]: Taking taylor expansion of im in re
0.213 * [backup-simplify]: Simplify im into im
0.213 * [taylor]: Taking taylor expansion of im in re
0.213 * [backup-simplify]: Simplify im into im
0.213 * [backup-simplify]: Simplify (* 0 0) into 0
0.214 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.214 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.214 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.214 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.215 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 im) into im
0.215 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.216 * [backup-simplify]: Simplify (+ 1 0) into 1
0.216 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.216 * [taylor]: Taking taylor expansion of 2.0 in re
0.216 * [backup-simplify]: Simplify 2.0 into 2.0
0.216 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.217 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
0.218 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.218 * [taylor]: Taking taylor expansion of 2.0 in im
0.218 * [backup-simplify]: Simplify 2.0 into 2.0
0.218 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.219 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.219 * [taylor]: Taking taylor expansion of im in im
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (sqrt 0) into 0
0.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.221 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.222 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.222 * [taylor]: Taking taylor expansion of 1/2 in im
0.222 * [backup-simplify]: Simplify 1/2 into 1/2
0.222 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.222 * [taylor]: Taking taylor expansion of 2.0 in im
0.222 * [backup-simplify]: Simplify 2.0 into 2.0
0.223 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.223 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.223 * [taylor]: Taking taylor expansion of im in im
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify (/ 1 1) into 1
0.224 * [backup-simplify]: Simplify (sqrt 0) into 0
0.225 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.227 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.228 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.230 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.231 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.232 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.233 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.235 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.235 * [backup-simplify]: Simplify (+ 1 0) into 1
0.235 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.235 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.236 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
0.236 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.236 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.236 * [taylor]: Taking taylor expansion of 1/8 in im
0.237 * [backup-simplify]: Simplify 1/8 into 1/8
0.237 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.237 * [taylor]: Taking taylor expansion of 2.0 in im
0.237 * [backup-simplify]: Simplify 2.0 into 2.0
0.237 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.238 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.238 * [taylor]: Taking taylor expansion of im in im
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.238 * [backup-simplify]: Simplify (* 1 1) into 1
0.238 * [backup-simplify]: Simplify (* 1 1) into 1
0.238 * [backup-simplify]: Simplify (/ 1 1) into 1
0.239 * [backup-simplify]: Simplify (sqrt 0) into 0
0.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.243 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.245 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.246 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.246 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.256 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.258 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.264 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
0.264 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
0.264 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
0.264 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
0.264 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.264 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.265 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.265 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.265 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.265 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.265 * [taylor]: Taking taylor expansion of re in im
0.265 * [backup-simplify]: Simplify re into re
0.265 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.265 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.265 * [taylor]: Taking taylor expansion of re in im
0.265 * [backup-simplify]: Simplify re into re
0.265 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.265 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.265 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.265 * [taylor]: Taking taylor expansion of im in im
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (/ 1 1) into 1
0.266 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.266 * [taylor]: Taking taylor expansion of im in im
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (/ 1 1) into 1
0.267 * [backup-simplify]: Simplify (* 1 1) into 1
0.267 * [backup-simplify]: Simplify (+ 0 1) into 1
0.267 * [backup-simplify]: Simplify (sqrt 1) into 1
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.271 * [taylor]: Taking taylor expansion of re in im
0.271 * [backup-simplify]: Simplify re into re
0.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.271 * [backup-simplify]: Simplify (+ 1 0) into 1
0.272 * [backup-simplify]: Simplify (sqrt 0) into 0
0.273 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.273 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.273 * [taylor]: Taking taylor expansion of 2.0 in im
0.273 * [backup-simplify]: Simplify 2.0 into 2.0
0.274 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.275 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.275 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.275 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.275 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.275 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.275 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.275 * [taylor]: Taking taylor expansion of re in re
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (/ 1 1) into 1
0.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.275 * [taylor]: Taking taylor expansion of re in re
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (/ 1 1) into 1
0.276 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.276 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.276 * [taylor]: Taking taylor expansion of im in re
0.276 * [backup-simplify]: Simplify im into im
0.276 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.276 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.276 * [taylor]: Taking taylor expansion of im in re
0.276 * [backup-simplify]: Simplify im into im
0.276 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.277 * [backup-simplify]: Simplify (* 1 1) into 1
0.277 * [backup-simplify]: Simplify (+ 1 0) into 1
0.278 * [backup-simplify]: Simplify (sqrt 1) into 1
0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.281 * [taylor]: Taking taylor expansion of re in re
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [backup-simplify]: Simplify (+ 1 1) into 2
0.282 * [backup-simplify]: Simplify (sqrt 0) into 0
0.283 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.283 * [taylor]: Taking taylor expansion of 2.0 in re
0.283 * [backup-simplify]: Simplify 2.0 into 2.0
0.284 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.285 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.285 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.285 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.285 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.285 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.285 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.285 * [taylor]: Taking taylor expansion of re in re
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.286 * [taylor]: Taking taylor expansion of re in re
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.286 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.286 * [taylor]: Taking taylor expansion of im in re
0.286 * [backup-simplify]: Simplify im into im
0.286 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.286 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.286 * [taylor]: Taking taylor expansion of im in re
0.286 * [backup-simplify]: Simplify im into im
0.286 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.287 * [backup-simplify]: Simplify (* 1 1) into 1
0.287 * [backup-simplify]: Simplify (+ 1 0) into 1
0.287 * [backup-simplify]: Simplify (sqrt 1) into 1
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.289 * [taylor]: Taking taylor expansion of re in re
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [backup-simplify]: Simplify (+ 1 1) into 2
0.290 * [backup-simplify]: Simplify (sqrt 0) into 0
0.291 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.291 * [taylor]: Taking taylor expansion of 2.0 in re
0.291 * [backup-simplify]: Simplify 2.0 into 2.0
0.291 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.292 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
0.292 * [taylor]: Taking taylor expansion of 0 in im
0.292 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.293 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.293 * [taylor]: Taking taylor expansion of +nan.0 in im
0.293 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.293 * [taylor]: Taking taylor expansion of 2.0 in im
0.293 * [backup-simplify]: Simplify 2.0 into 2.0
0.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.299 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.299 * [taylor]: Taking taylor expansion of +nan.0 in im
0.299 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.299 * [taylor]: Taking taylor expansion of 2.0 in im
0.299 * [backup-simplify]: Simplify 2.0 into 2.0
0.300 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.301 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.302 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.302 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.305 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.305 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.306 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.308 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
0.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.309 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.309 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.309 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.309 * [taylor]: Taking taylor expansion of +nan.0 in im
0.309 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.309 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.309 * [taylor]: Taking taylor expansion of 2.0 in im
0.310 * [backup-simplify]: Simplify 2.0 into 2.0
0.310 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.310 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.310 * [taylor]: Taking taylor expansion of im in im
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (* 1 1) into 1
0.311 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.311 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.311 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.311 * [taylor]: Taking taylor expansion of +nan.0 in im
0.311 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.311 * [taylor]: Taking taylor expansion of 2.0 in im
0.311 * [backup-simplify]: Simplify 2.0 into 2.0
0.311 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (- 0) into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.315 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.316 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.317 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.317 * [backup-simplify]: Simplify (- 0) into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.320 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
0.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.327 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.327 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.327 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.327 * [taylor]: Taking taylor expansion of +nan.0 in im
0.327 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.327 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.327 * [taylor]: Taking taylor expansion of 2.0 in im
0.327 * [backup-simplify]: Simplify 2.0 into 2.0
0.328 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.329 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.329 * [taylor]: Taking taylor expansion of im in im
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (* 1 1) into 1
0.330 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.330 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.330 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.330 * [taylor]: Taking taylor expansion of +nan.0 in im
0.330 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.330 * [taylor]: Taking taylor expansion of 2.0 in im
0.330 * [backup-simplify]: Simplify 2.0 into 2.0
0.331 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [backup-simplify]: Simplify (- 0) into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.340 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.342 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.344 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.347 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.348 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.353 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
0.353 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
0.353 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
0.353 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
0.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.353 * [taylor]: Taking taylor expansion of 2.0 in im
0.353 * [backup-simplify]: Simplify 2.0 into 2.0
0.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.355 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
0.355 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.355 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.355 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.355 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.355 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.355 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.355 * [taylor]: Taking taylor expansion of -1 in im
0.355 * [backup-simplify]: Simplify -1 into -1
0.355 * [taylor]: Taking taylor expansion of re in im
0.355 * [backup-simplify]: Simplify re into re
0.355 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.355 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.355 * [taylor]: Taking taylor expansion of -1 in im
0.355 * [backup-simplify]: Simplify -1 into -1
0.355 * [taylor]: Taking taylor expansion of re in im
0.355 * [backup-simplify]: Simplify re into re
0.355 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.355 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.355 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.355 * [taylor]: Taking taylor expansion of -1 in im
0.355 * [backup-simplify]: Simplify -1 into -1
0.355 * [taylor]: Taking taylor expansion of im in im
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (/ -1 1) into -1
0.356 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.356 * [taylor]: Taking taylor expansion of -1 in im
0.356 * [backup-simplify]: Simplify -1 into -1
0.356 * [taylor]: Taking taylor expansion of im in im
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (/ -1 1) into -1
0.357 * [backup-simplify]: Simplify (* -1 -1) into 1
0.357 * [backup-simplify]: Simplify (+ 0 1) into 1
0.358 * [backup-simplify]: Simplify (sqrt 1) into 1
0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.361 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.361 * [taylor]: Taking taylor expansion of re in im
0.361 * [backup-simplify]: Simplify re into re
0.361 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.362 * [backup-simplify]: Simplify (+ 1 0) into 1
0.362 * [backup-simplify]: Simplify (sqrt 0) into 0
0.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.363 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.364 * [taylor]: Taking taylor expansion of 2.0 in re
0.364 * [backup-simplify]: Simplify 2.0 into 2.0
0.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.365 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.365 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.365 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.365 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.365 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.365 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.365 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.365 * [taylor]: Taking taylor expansion of -1 in re
0.365 * [backup-simplify]: Simplify -1 into -1
0.365 * [taylor]: Taking taylor expansion of re in re
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (/ -1 1) into -1
0.366 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.366 * [taylor]: Taking taylor expansion of -1 in re
0.366 * [backup-simplify]: Simplify -1 into -1
0.366 * [taylor]: Taking taylor expansion of re in re
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (/ -1 1) into -1
0.366 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.366 * [taylor]: Taking taylor expansion of -1 in re
0.366 * [backup-simplify]: Simplify -1 into -1
0.366 * [taylor]: Taking taylor expansion of im in re
0.366 * [backup-simplify]: Simplify im into im
0.367 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.367 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.367 * [taylor]: Taking taylor expansion of -1 in re
0.367 * [backup-simplify]: Simplify -1 into -1
0.367 * [taylor]: Taking taylor expansion of im in re
0.367 * [backup-simplify]: Simplify im into im
0.367 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.367 * [backup-simplify]: Simplify (* -1 -1) into 1
0.368 * [backup-simplify]: Simplify (+ 1 0) into 1
0.368 * [backup-simplify]: Simplify (sqrt 1) into 1
0.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.371 * [taylor]: Taking taylor expansion of re in re
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (/ 1 1) into 1
0.372 * [backup-simplify]: Simplify (- 1) into -1
0.373 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (- 0) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.377 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.379 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (- 0) into 0
0.384 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.385 * [backup-simplify]: Simplify (sqrt 0) into 0
0.386 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.386 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.386 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.386 * [taylor]: Taking taylor expansion of 2.0 in re
0.386 * [backup-simplify]: Simplify 2.0 into 2.0
0.386 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.387 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.387 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.387 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.387 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.387 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.387 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.387 * [taylor]: Taking taylor expansion of -1 in re
0.388 * [backup-simplify]: Simplify -1 into -1
0.388 * [taylor]: Taking taylor expansion of re in re
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.388 * [backup-simplify]: Simplify (/ -1 1) into -1
0.388 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.388 * [taylor]: Taking taylor expansion of -1 in re
0.388 * [backup-simplify]: Simplify -1 into -1
0.388 * [taylor]: Taking taylor expansion of re in re
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (/ -1 1) into -1
0.389 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.389 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.389 * [taylor]: Taking taylor expansion of -1 in re
0.389 * [backup-simplify]: Simplify -1 into -1
0.389 * [taylor]: Taking taylor expansion of im in re
0.389 * [backup-simplify]: Simplify im into im
0.389 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.389 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.389 * [taylor]: Taking taylor expansion of -1 in re
0.389 * [backup-simplify]: Simplify -1 into -1
0.389 * [taylor]: Taking taylor expansion of im in re
0.389 * [backup-simplify]: Simplify im into im
0.389 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.390 * [backup-simplify]: Simplify (* -1 -1) into 1
0.390 * [backup-simplify]: Simplify (+ 1 0) into 1
0.391 * [backup-simplify]: Simplify (sqrt 1) into 1
0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.393 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.393 * [backup-simplify]: Simplify (+ 0 0) into 0
0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.394 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.394 * [taylor]: Taking taylor expansion of re in re
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify (/ 1 1) into 1
0.395 * [backup-simplify]: Simplify (- 1) into -1
0.395 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (- 0) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.400 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.400 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.401 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (- 0) into 0
0.403 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.403 * [backup-simplify]: Simplify (sqrt 0) into 0
0.404 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.404 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.404 * [taylor]: Taking taylor expansion of 0 in im
0.404 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.405 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.405 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.406 * [taylor]: Taking taylor expansion of +nan.0 in im
0.406 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.406 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.406 * [taylor]: Taking taylor expansion of 2.0 in im
0.406 * [backup-simplify]: Simplify 2.0 into 2.0
0.406 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.407 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.407 * [taylor]: Taking taylor expansion of im in im
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify 1 into 1
0.407 * [backup-simplify]: Simplify (* 1 1) into 1
0.408 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.411 * [backup-simplify]: Simplify (- 0) into 0
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.415 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.415 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.415 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (- 0) into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.420 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.422 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
0.422 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.422 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.423 * [taylor]: Taking taylor expansion of +nan.0 in im
0.423 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.423 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.423 * [taylor]: Taking taylor expansion of 2.0 in im
0.423 * [backup-simplify]: Simplify 2.0 into 2.0
0.423 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.424 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.424 * [taylor]: Taking taylor expansion of im in im
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 1 into 1
0.424 * [backup-simplify]: Simplify (* 1 1) into 1
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.426 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.436 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.437 * [backup-simplify]: Simplify (- 0) into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.439 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.440 * [backup-simplify]: Simplify (- 0) into 0
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.442 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.442 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.442 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.443 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (- 0) into 0
0.444 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.445 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
0.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.446 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.446 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.446 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.446 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.446 * [taylor]: Taking taylor expansion of +nan.0 in im
0.446 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.446 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.446 * [taylor]: Taking taylor expansion of 2.0 in im
0.446 * [backup-simplify]: Simplify 2.0 into 2.0
0.447 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.447 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.447 * [taylor]: Taking taylor expansion of im in im
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify (* 1 1) into 1
0.448 * [backup-simplify]: Simplify (* 1 1) into 1
0.448 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.448 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.448 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.448 * [taylor]: Taking taylor expansion of +nan.0 in im
0.448 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.448 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.448 * [taylor]: Taking taylor expansion of 2.0 in im
0.448 * [backup-simplify]: Simplify 2.0 into 2.0
0.449 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.449 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.449 * [taylor]: Taking taylor expansion of im in im
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.451 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.457 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.459 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.474 * [backup-simplify]: Simplify (- 0) into 0
0.474 * [backup-simplify]: Simplify (+ 0 0) into 0
0.474 * [backup-simplify]: Simplify (- 0) into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 2)
0.475 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.475 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.475 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.475 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.475 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.475 * [taylor]: Taking taylor expansion of (* re re) in im
0.475 * [taylor]: Taking taylor expansion of re in im
0.475 * [backup-simplify]: Simplify re into re
0.475 * [taylor]: Taking taylor expansion of re in im
0.475 * [backup-simplify]: Simplify re into re
0.475 * [taylor]: Taking taylor expansion of (* im im) in im
0.475 * [taylor]: Taking taylor expansion of im in im
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [taylor]: Taking taylor expansion of im in im
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.476 * [backup-simplify]: Simplify (* 0 0) into 0
0.476 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.476 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.476 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.477 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.477 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.478 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.478 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.478 * [taylor]: Taking taylor expansion of (* re re) in re
0.478 * [taylor]: Taking taylor expansion of re in re
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [taylor]: Taking taylor expansion of re in re
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [taylor]: Taking taylor expansion of (* im im) in re
0.478 * [taylor]: Taking taylor expansion of im in re
0.478 * [backup-simplify]: Simplify im into im
0.478 * [taylor]: Taking taylor expansion of im in re
0.478 * [backup-simplify]: Simplify im into im
0.478 * [backup-simplify]: Simplify (* 0 0) into 0
0.478 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.479 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.479 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.479 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.479 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.480 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.480 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.480 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.480 * [taylor]: Taking taylor expansion of (* re re) in re
0.480 * [taylor]: Taking taylor expansion of re in re
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.480 * [taylor]: Taking taylor expansion of re in re
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.480 * [taylor]: Taking taylor expansion of (* im im) in re
0.480 * [taylor]: Taking taylor expansion of im in re
0.481 * [backup-simplify]: Simplify im into im
0.481 * [taylor]: Taking taylor expansion of im in re
0.481 * [backup-simplify]: Simplify im into im
0.481 * [backup-simplify]: Simplify (* 0 0) into 0
0.481 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.481 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.481 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.482 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.482 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.482 * [backup-simplify]: Simplify (+ 0 0) into 0
0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.483 * [taylor]: Taking taylor expansion of im in im
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [taylor]: Taking taylor expansion of 0 in im
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.484 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.485 * [backup-simplify]: Simplify (+ 1 0) into 1
0.486 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.486 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.486 * [taylor]: Taking taylor expansion of 1/2 in im
0.486 * [backup-simplify]: Simplify 1/2 into 1/2
0.486 * [taylor]: Taking taylor expansion of im in im
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.489 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.490 * [backup-simplify]: Simplify (+ 0 0) into 0
0.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.490 * [taylor]: Taking taylor expansion of 0 in im
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.491 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.492 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.492 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.492 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.492 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.492 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.492 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.492 * [taylor]: Taking taylor expansion of re in im
0.492 * [backup-simplify]: Simplify re into re
0.492 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.492 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.492 * [taylor]: Taking taylor expansion of re in im
0.492 * [backup-simplify]: Simplify re into re
0.492 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.492 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.492 * [taylor]: Taking taylor expansion of im in im
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (/ 1 1) into 1
0.493 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.493 * [taylor]: Taking taylor expansion of im in im
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (/ 1 1) into 1
0.494 * [backup-simplify]: Simplify (* 1 1) into 1
0.494 * [backup-simplify]: Simplify (+ 0 1) into 1
0.494 * [backup-simplify]: Simplify (sqrt 1) into 1
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.497 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.498 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.498 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.498 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.498 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.498 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.498 * [taylor]: Taking taylor expansion of re in re
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.498 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.498 * [taylor]: Taking taylor expansion of re in re
0.498 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 1 into 1
0.499 * [backup-simplify]: Simplify (/ 1 1) into 1
0.499 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.499 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.499 * [taylor]: Taking taylor expansion of im in re
0.499 * [backup-simplify]: Simplify im into im
0.499 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.499 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.499 * [taylor]: Taking taylor expansion of im in re
0.499 * [backup-simplify]: Simplify im into im
0.499 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.500 * [backup-simplify]: Simplify (* 1 1) into 1
0.500 * [backup-simplify]: Simplify (+ 1 0) into 1
0.500 * [backup-simplify]: Simplify (sqrt 1) into 1
0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.504 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.504 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.504 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.504 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.504 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.504 * [taylor]: Taking taylor expansion of re in re
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.505 * [taylor]: Taking taylor expansion of re in re
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (/ 1 1) into 1
0.510 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.510 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.510 * [taylor]: Taking taylor expansion of im in re
0.510 * [backup-simplify]: Simplify im into im
0.510 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.510 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.510 * [taylor]: Taking taylor expansion of im in re
0.510 * [backup-simplify]: Simplify im into im
0.510 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.511 * [backup-simplify]: Simplify (* 1 1) into 1
0.511 * [backup-simplify]: Simplify (+ 1 0) into 1
0.511 * [backup-simplify]: Simplify (sqrt 1) into 1
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.514 * [backup-simplify]: Simplify (+ 0 0) into 0
0.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.515 * [taylor]: Taking taylor expansion of 1 in im
0.515 * [backup-simplify]: Simplify 1 into 1
0.515 * [taylor]: Taking taylor expansion of 0 in im
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 1 into 1
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.518 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.518 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.520 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.520 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.520 * [taylor]: Taking taylor expansion of 1/2 in im
0.520 * [backup-simplify]: Simplify 1/2 into 1/2
0.520 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.520 * [taylor]: Taking taylor expansion of im in im
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.526 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.527 * [taylor]: Taking taylor expansion of 0 in im
0.527 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.529 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.529 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.529 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.530 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.530 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.530 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.530 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.530 * [taylor]: Taking taylor expansion of -1 in im
0.530 * [backup-simplify]: Simplify -1 into -1
0.530 * [taylor]: Taking taylor expansion of re in im
0.530 * [backup-simplify]: Simplify re into re
0.530 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.530 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.530 * [taylor]: Taking taylor expansion of -1 in im
0.530 * [backup-simplify]: Simplify -1 into -1
0.530 * [taylor]: Taking taylor expansion of re in im
0.530 * [backup-simplify]: Simplify re into re
0.530 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.530 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.530 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.530 * [taylor]: Taking taylor expansion of -1 in im
0.530 * [backup-simplify]: Simplify -1 into -1
0.530 * [taylor]: Taking taylor expansion of im in im
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 1 into 1
0.531 * [backup-simplify]: Simplify (/ -1 1) into -1
0.531 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.531 * [taylor]: Taking taylor expansion of -1 in im
0.531 * [backup-simplify]: Simplify -1 into -1
0.531 * [taylor]: Taking taylor expansion of im in im
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 1 into 1
0.531 * [backup-simplify]: Simplify (/ -1 1) into -1
0.532 * [backup-simplify]: Simplify (* -1 -1) into 1
0.532 * [backup-simplify]: Simplify (+ 0 1) into 1
0.533 * [backup-simplify]: Simplify (sqrt 1) into 1
0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.535 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.536 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.536 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.536 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.537 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.537 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.537 * [taylor]: Taking taylor expansion of -1 in re
0.537 * [backup-simplify]: Simplify -1 into -1
0.537 * [taylor]: Taking taylor expansion of re in re
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.537 * [backup-simplify]: Simplify (/ -1 1) into -1
0.537 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.537 * [taylor]: Taking taylor expansion of -1 in re
0.537 * [backup-simplify]: Simplify -1 into -1
0.537 * [taylor]: Taking taylor expansion of re in re
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (/ -1 1) into -1
0.538 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.538 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.538 * [taylor]: Taking taylor expansion of -1 in re
0.538 * [backup-simplify]: Simplify -1 into -1
0.538 * [taylor]: Taking taylor expansion of im in re
0.538 * [backup-simplify]: Simplify im into im
0.538 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.538 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.538 * [taylor]: Taking taylor expansion of -1 in re
0.538 * [backup-simplify]: Simplify -1 into -1
0.538 * [taylor]: Taking taylor expansion of im in re
0.538 * [backup-simplify]: Simplify im into im
0.538 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.539 * [backup-simplify]: Simplify (* -1 -1) into 1
0.539 * [backup-simplify]: Simplify (+ 1 0) into 1
0.540 * [backup-simplify]: Simplify (sqrt 1) into 1
0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.543 * [backup-simplify]: Simplify (+ 0 0) into 0
0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.543 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.544 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.544 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.544 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.544 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.544 * [taylor]: Taking taylor expansion of -1 in re
0.544 * [backup-simplify]: Simplify -1 into -1
0.544 * [taylor]: Taking taylor expansion of re in re
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (/ -1 1) into -1
0.544 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.544 * [taylor]: Taking taylor expansion of -1 in re
0.544 * [backup-simplify]: Simplify -1 into -1
0.544 * [taylor]: Taking taylor expansion of re in re
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.545 * [backup-simplify]: Simplify (/ -1 1) into -1
0.545 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.545 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.545 * [taylor]: Taking taylor expansion of -1 in re
0.545 * [backup-simplify]: Simplify -1 into -1
0.545 * [taylor]: Taking taylor expansion of im in re
0.545 * [backup-simplify]: Simplify im into im
0.545 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.545 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.545 * [taylor]: Taking taylor expansion of -1 in re
0.545 * [backup-simplify]: Simplify -1 into -1
0.545 * [taylor]: Taking taylor expansion of im in re
0.545 * [backup-simplify]: Simplify im into im
0.545 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.546 * [backup-simplify]: Simplify (* -1 -1) into 1
0.546 * [backup-simplify]: Simplify (+ 1 0) into 1
0.547 * [backup-simplify]: Simplify (sqrt 1) into 1
0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.549 * [backup-simplify]: Simplify (+ 0 0) into 0
0.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.550 * [taylor]: Taking taylor expansion of 1 in im
0.550 * [backup-simplify]: Simplify 1 into 1
0.550 * [taylor]: Taking taylor expansion of 0 in im
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 1 into 1
0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.552 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.553 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.553 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.553 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.553 * [taylor]: Taking taylor expansion of 1/2 in im
0.553 * [backup-simplify]: Simplify 1/2 into 1/2
0.553 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.553 * [taylor]: Taking taylor expansion of im in im
0.553 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (* 1 1) into 1
0.554 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.557 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.557 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.557 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.557 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.558 * [taylor]: Taking taylor expansion of 0 in im
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.559 * * * [progress]: simplifying candidates
0.560 * [simplify]: Simplifying:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (sqrt (* (+ re (hypot re im)) 2.0)))
  (log1p (sqrt (* (+ re (hypot re im)) 2.0)))
  (log (sqrt (* (+ re (hypot re im)) 2.0)))
  (exp (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))))
  (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (* (sqrt (* (+ re (hypot re im)) 2.0)) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0))
  (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))
  (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0))
  (sqrt (- re (hypot re im)))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  im
  re
  (* -1 re)
0.560 * * [simplify]: Extracting # 0 : cost  0
0.560 * * [simplify]: Extracting # 1 : cost  0
0.561 * * [simplify]: Extracting # 2 : cost  0
0.561 * * [simplify]: Extracting # 3 : cost  0
0.561 * * [simplify]: Extracting # 4 : cost  0
0.561 * * [simplify]: Extracting # 5 : cost  0
0.561 * * [simplify]: Extracting # 6 : cost  0
0.561 * * [simplify]: Extracting # 7 : cost  0
0.561 * * [simplify]: Extracting # 8 : cost  0
0.561 * * [simplify]: Extracting # 9 : cost  0
0.561 * * [simplify]: Extracting # 10 : cost  0
0.561 * * [simplify]: iteration  0 :  86  enodes  (cost  414 )
0.578 * * [simplify]: Extracting # 0 : cost  0
0.578 * * [simplify]: Extracting # 1 : cost  0
0.579 * * [simplify]: Extracting # 2 : cost  0
0.579 * * [simplify]: Extracting # 3 : cost  0
0.579 * * [simplify]: Extracting # 4 : cost  0
0.580 * * [simplify]: iteration  1 :  187  enodes  (cost  377 )
0.663 * * [simplify]: Extracting # 0 : cost  0
0.664 * * [simplify]: Extracting # 1 : cost  0
0.665 * * [simplify]: Extracting # 2 : cost  0
0.666 * * [simplify]: Extracting # 3 : cost  0
0.667 * * [simplify]: Extracting # 4 : cost  0
0.668 * * [simplify]: iteration  2 :  459  enodes  (cost  354 )
0.938 * * [simplify]: Extracting # 0 : cost  0
0.941 * * [simplify]: Extracting # 1 : cost  0
0.944 * * [simplify]: Extracting # 2 : cost  0
0.946 * * [simplify]: Extracting # 3 : cost  0
0.948 * * [simplify]: iteration  3 :  1219  enodes  (cost  345 )
3.008 * * [simplify]: Extracting # 0 : cost  0
3.015 * * [simplify]: Extracting # 1 : cost  0
3.021 * * [simplify]: Extracting # 2 : cost  0
3.027 * * [simplify]: Extracting # 3 : cost  0
3.032 * * [simplify]: Extracting # 4 : cost  0
3.038 * * [simplify]: iteration  4 :  3260  enodes  (cost  344 )
5.809 * * [simplify]: Extracting # 0 : cost  0
5.815 * * [simplify]: Extracting # 1 : cost  0
5.820 * * [simplify]: Extracting # 2 : cost  0
5.831 * * [simplify]: Extracting # 3 : cost  0
5.835 * * [simplify]: Extracting # 4 : cost  0
5.839 * * [simplify]: iteration done:  5001  enodes  (cost  344 )
5.839 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (sqrt (* (+ re (hypot re im)) 2.0)))
  (log1p (sqrt (* (+ re (hypot re im)) 2.0)))
  (log (sqrt (* (+ re (hypot re im)) 2.0)))
  (exp (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))))
  (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (pow (sqrt (* (+ re (hypot re im)) 2.0)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0))
  (sqrt (fma re re (* (hypot re im) (- (hypot re im) re))))
  (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0))
  (sqrt (- re (hypot re im)))
  1/2
  1/2
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  (* (* (- +nan.0) (sqrt 2.0)) (fma re re (- re im)))
  (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)))
  0
  im
  re
  (- re)
5.840 * * * [progress]: adding candidates to table
6.050 * * [progress]: iteration 2 / 4
6.050 * * * [progress]: picking best candidate
6.084 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))>
6.084 * * * [progress]: localizing error
6.111 * * * [progress]: generating rewritten candidates
6.111 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
6.123 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
6.175 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2)
6.176 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
6.196 * * * [progress]: generating series expansions
6.196 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
6.196 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
6.196 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
6.196 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
6.197 * [taylor]: Taking taylor expansion of re in im
6.197 * [backup-simplify]: Simplify re into re
6.197 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.197 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.197 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.197 * [taylor]: Taking taylor expansion of (* re re) in im
6.197 * [taylor]: Taking taylor expansion of re in im
6.197 * [backup-simplify]: Simplify re into re
6.197 * [taylor]: Taking taylor expansion of re in im
6.197 * [backup-simplify]: Simplify re into re
6.197 * [taylor]: Taking taylor expansion of (* im im) in im
6.197 * [taylor]: Taking taylor expansion of im in im
6.197 * [backup-simplify]: Simplify 0 into 0
6.197 * [backup-simplify]: Simplify 1 into 1
6.197 * [taylor]: Taking taylor expansion of im in im
6.197 * [backup-simplify]: Simplify 0 into 0
6.197 * [backup-simplify]: Simplify 1 into 1
6.197 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.198 * [backup-simplify]: Simplify (* 0 0) into 0
6.198 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.198 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.198 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.199 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.199 * [backup-simplify]: Simplify (+ 0 0) into 0
6.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.200 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
6.200 * [taylor]: Taking taylor expansion of re in re
6.200 * [backup-simplify]: Simplify 0 into 0
6.200 * [backup-simplify]: Simplify 1 into 1
6.200 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.200 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.200 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.200 * [taylor]: Taking taylor expansion of (* re re) in re
6.200 * [taylor]: Taking taylor expansion of re in re
6.200 * [backup-simplify]: Simplify 0 into 0
6.200 * [backup-simplify]: Simplify 1 into 1
6.200 * [taylor]: Taking taylor expansion of re in re
6.200 * [backup-simplify]: Simplify 0 into 0
6.200 * [backup-simplify]: Simplify 1 into 1
6.200 * [taylor]: Taking taylor expansion of (* im im) in re
6.200 * [taylor]: Taking taylor expansion of im in re
6.200 * [backup-simplify]: Simplify im into im
6.200 * [taylor]: Taking taylor expansion of im in re
6.200 * [backup-simplify]: Simplify im into im
6.201 * [backup-simplify]: Simplify (* 0 0) into 0
6.201 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.201 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.201 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.202 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.202 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.202 * [backup-simplify]: Simplify (+ 0 0) into 0
6.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.202 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
6.202 * [taylor]: Taking taylor expansion of re in re
6.202 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify 1 into 1
6.202 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.202 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.203 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.203 * [taylor]: Taking taylor expansion of (* re re) in re
6.203 * [taylor]: Taking taylor expansion of re in re
6.203 * [backup-simplify]: Simplify 0 into 0
6.203 * [backup-simplify]: Simplify 1 into 1
6.203 * [taylor]: Taking taylor expansion of re in re
6.203 * [backup-simplify]: Simplify 0 into 0
6.203 * [backup-simplify]: Simplify 1 into 1
6.203 * [taylor]: Taking taylor expansion of (* im im) in re
6.203 * [taylor]: Taking taylor expansion of im in re
6.203 * [backup-simplify]: Simplify im into im
6.203 * [taylor]: Taking taylor expansion of im in re
6.203 * [backup-simplify]: Simplify im into im
6.203 * [backup-simplify]: Simplify (* 0 0) into 0
6.203 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.203 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.204 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.204 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.204 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.205 * [backup-simplify]: Simplify (+ 0 0) into 0
6.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.205 * [backup-simplify]: Simplify (+ 0 im) into im
6.205 * [taylor]: Taking taylor expansion of im in im
6.205 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify 1 into 1
6.205 * [backup-simplify]: Simplify 0 into 0
6.206 * [backup-simplify]: Simplify (+ 1 0) into 1
6.206 * [taylor]: Taking taylor expansion of 1 in im
6.206 * [backup-simplify]: Simplify 1 into 1
6.206 * [backup-simplify]: Simplify 1 into 1
6.206 * [backup-simplify]: Simplify 1 into 1
6.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.207 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.207 * [backup-simplify]: Simplify (+ 1 0) into 1
6.208 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.208 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.208 * [taylor]: Taking taylor expansion of 1/2 in im
6.208 * [backup-simplify]: Simplify 1/2 into 1/2
6.208 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.208 * [taylor]: Taking taylor expansion of im in im
6.208 * [backup-simplify]: Simplify 0 into 0
6.209 * [backup-simplify]: Simplify 1 into 1
6.209 * [backup-simplify]: Simplify (/ 1 1) into 1
6.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.210 * [backup-simplify]: Simplify 0 into 0
6.210 * [backup-simplify]: Simplify 0 into 0
6.210 * [backup-simplify]: Simplify 0 into 0
6.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.212 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.213 * [backup-simplify]: Simplify (+ 0 0) into 0
6.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.213 * [backup-simplify]: Simplify (+ 0 0) into 0
6.213 * [taylor]: Taking taylor expansion of 0 in im
6.213 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify 0 into 0
6.216 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
6.216 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
6.216 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
6.216 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
6.216 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.216 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.216 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.216 * [taylor]: Taking taylor expansion of re in im
6.216 * [backup-simplify]: Simplify re into re
6.216 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.216 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.216 * [taylor]: Taking taylor expansion of re in im
6.216 * [backup-simplify]: Simplify re into re
6.217 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.217 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.217 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.217 * [taylor]: Taking taylor expansion of im in im
6.217 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify 1 into 1
6.217 * [backup-simplify]: Simplify (/ 1 1) into 1
6.217 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.217 * [taylor]: Taking taylor expansion of im in im
6.217 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify 1 into 1
6.218 * [backup-simplify]: Simplify (/ 1 1) into 1
6.218 * [backup-simplify]: Simplify (* 1 1) into 1
6.218 * [backup-simplify]: Simplify (+ 0 1) into 1
6.219 * [backup-simplify]: Simplify (sqrt 1) into 1
6.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.222 * [backup-simplify]: Simplify (+ 0 0) into 0
6.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.223 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.223 * [taylor]: Taking taylor expansion of re in im
6.223 * [backup-simplify]: Simplify re into re
6.223 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.223 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.223 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.223 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.223 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.224 * [taylor]: Taking taylor expansion of re in re
6.224 * [backup-simplify]: Simplify 0 into 0
6.224 * [backup-simplify]: Simplify 1 into 1
6.224 * [backup-simplify]: Simplify (/ 1 1) into 1
6.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.224 * [taylor]: Taking taylor expansion of re in re
6.224 * [backup-simplify]: Simplify 0 into 0
6.224 * [backup-simplify]: Simplify 1 into 1
6.225 * [backup-simplify]: Simplify (/ 1 1) into 1
6.225 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.225 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.225 * [taylor]: Taking taylor expansion of im in re
6.225 * [backup-simplify]: Simplify im into im
6.225 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.225 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.225 * [taylor]: Taking taylor expansion of im in re
6.225 * [backup-simplify]: Simplify im into im
6.225 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.225 * [backup-simplify]: Simplify (* 1 1) into 1
6.226 * [backup-simplify]: Simplify (+ 1 0) into 1
6.226 * [backup-simplify]: Simplify (sqrt 1) into 1
6.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.229 * [backup-simplify]: Simplify (+ 0 0) into 0
6.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.229 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.229 * [taylor]: Taking taylor expansion of re in re
6.230 * [backup-simplify]: Simplify 0 into 0
6.230 * [backup-simplify]: Simplify 1 into 1
6.230 * [backup-simplify]: Simplify (/ 1 1) into 1
6.230 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.230 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.230 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.230 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.230 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.230 * [taylor]: Taking taylor expansion of re in re
6.230 * [backup-simplify]: Simplify 0 into 0
6.230 * [backup-simplify]: Simplify 1 into 1
6.231 * [backup-simplify]: Simplify (/ 1 1) into 1
6.231 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.231 * [taylor]: Taking taylor expansion of re in re
6.231 * [backup-simplify]: Simplify 0 into 0
6.231 * [backup-simplify]: Simplify 1 into 1
6.231 * [backup-simplify]: Simplify (/ 1 1) into 1
6.231 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.231 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.231 * [taylor]: Taking taylor expansion of im in re
6.231 * [backup-simplify]: Simplify im into im
6.231 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.231 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.232 * [taylor]: Taking taylor expansion of im in re
6.232 * [backup-simplify]: Simplify im into im
6.232 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.232 * [backup-simplify]: Simplify (* 1 1) into 1
6.232 * [backup-simplify]: Simplify (+ 1 0) into 1
6.233 * [backup-simplify]: Simplify (sqrt 1) into 1
6.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.235 * [backup-simplify]: Simplify (+ 0 0) into 0
6.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.236 * [taylor]: Taking taylor expansion of re in re
6.236 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify 1 into 1
6.236 * [backup-simplify]: Simplify (/ 1 1) into 1
6.237 * [backup-simplify]: Simplify (+ 1 1) into 2
6.237 * [taylor]: Taking taylor expansion of 2 in im
6.237 * [backup-simplify]: Simplify 2 into 2
6.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.238 * [backup-simplify]: Simplify (+ 0 0) into 0
6.238 * [taylor]: Taking taylor expansion of 0 in im
6.238 * [backup-simplify]: Simplify 0 into 0
6.238 * [backup-simplify]: Simplify 2 into 2
6.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.241 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.241 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.248 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.248 * [taylor]: Taking taylor expansion of 1/2 in im
6.248 * [backup-simplify]: Simplify 1/2 into 1/2
6.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.248 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.248 * [taylor]: Taking taylor expansion of im in im
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify 1 into 1
6.249 * [backup-simplify]: Simplify (* 1 1) into 1
6.249 * [backup-simplify]: Simplify (/ 1 1) into 1
6.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.253 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.253 * [backup-simplify]: Simplify (+ 0 0) into 0
6.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.254 * [backup-simplify]: Simplify (+ 0 0) into 0
6.254 * [taylor]: Taking taylor expansion of 0 in im
6.254 * [backup-simplify]: Simplify 0 into 0
6.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
6.256 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
6.256 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
6.256 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.256 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.256 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.256 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.256 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.256 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.256 * [taylor]: Taking taylor expansion of -1 in im
6.256 * [backup-simplify]: Simplify -1 into -1
6.256 * [taylor]: Taking taylor expansion of re in im
6.256 * [backup-simplify]: Simplify re into re
6.257 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.257 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.257 * [taylor]: Taking taylor expansion of -1 in im
6.257 * [backup-simplify]: Simplify -1 into -1
6.257 * [taylor]: Taking taylor expansion of re in im
6.257 * [backup-simplify]: Simplify re into re
6.257 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.257 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.257 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.257 * [taylor]: Taking taylor expansion of -1 in im
6.257 * [backup-simplify]: Simplify -1 into -1
6.257 * [taylor]: Taking taylor expansion of im in im
6.257 * [backup-simplify]: Simplify 0 into 0
6.257 * [backup-simplify]: Simplify 1 into 1
6.257 * [backup-simplify]: Simplify (/ -1 1) into -1
6.257 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.257 * [taylor]: Taking taylor expansion of -1 in im
6.257 * [backup-simplify]: Simplify -1 into -1
6.257 * [taylor]: Taking taylor expansion of im in im
6.257 * [backup-simplify]: Simplify 0 into 0
6.257 * [backup-simplify]: Simplify 1 into 1
6.257 * [backup-simplify]: Simplify (/ -1 1) into -1
6.258 * [backup-simplify]: Simplify (* -1 -1) into 1
6.258 * [backup-simplify]: Simplify (+ 0 1) into 1
6.258 * [backup-simplify]: Simplify (sqrt 1) into 1
6.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.259 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.260 * [backup-simplify]: Simplify (+ 0 0) into 0
6.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.260 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.260 * [taylor]: Taking taylor expansion of re in im
6.260 * [backup-simplify]: Simplify re into re
6.260 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.260 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.260 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.260 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.260 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.260 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.260 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.260 * [taylor]: Taking taylor expansion of -1 in re
6.260 * [backup-simplify]: Simplify -1 into -1
6.260 * [taylor]: Taking taylor expansion of re in re
6.260 * [backup-simplify]: Simplify 0 into 0
6.260 * [backup-simplify]: Simplify 1 into 1
6.261 * [backup-simplify]: Simplify (/ -1 1) into -1
6.261 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.261 * [taylor]: Taking taylor expansion of -1 in re
6.261 * [backup-simplify]: Simplify -1 into -1
6.261 * [taylor]: Taking taylor expansion of re in re
6.261 * [backup-simplify]: Simplify 0 into 0
6.261 * [backup-simplify]: Simplify 1 into 1
6.261 * [backup-simplify]: Simplify (/ -1 1) into -1
6.261 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.261 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.261 * [taylor]: Taking taylor expansion of -1 in re
6.261 * [backup-simplify]: Simplify -1 into -1
6.261 * [taylor]: Taking taylor expansion of im in re
6.261 * [backup-simplify]: Simplify im into im
6.261 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.261 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.261 * [taylor]: Taking taylor expansion of -1 in re
6.261 * [backup-simplify]: Simplify -1 into -1
6.261 * [taylor]: Taking taylor expansion of im in re
6.261 * [backup-simplify]: Simplify im into im
6.261 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.262 * [backup-simplify]: Simplify (* -1 -1) into 1
6.262 * [backup-simplify]: Simplify (+ 1 0) into 1
6.262 * [backup-simplify]: Simplify (sqrt 1) into 1
6.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.264 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.264 * [backup-simplify]: Simplify (+ 0 0) into 0
6.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.264 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.264 * [taylor]: Taking taylor expansion of re in re
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [backup-simplify]: Simplify 1 into 1
6.265 * [backup-simplify]: Simplify (/ 1 1) into 1
6.265 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.265 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.265 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.265 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.265 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.265 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.265 * [taylor]: Taking taylor expansion of -1 in re
6.265 * [backup-simplify]: Simplify -1 into -1
6.265 * [taylor]: Taking taylor expansion of re in re
6.265 * [backup-simplify]: Simplify 0 into 0
6.265 * [backup-simplify]: Simplify 1 into 1
6.265 * [backup-simplify]: Simplify (/ -1 1) into -1
6.265 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.265 * [taylor]: Taking taylor expansion of -1 in re
6.265 * [backup-simplify]: Simplify -1 into -1
6.265 * [taylor]: Taking taylor expansion of re in re
6.265 * [backup-simplify]: Simplify 0 into 0
6.265 * [backup-simplify]: Simplify 1 into 1
6.265 * [backup-simplify]: Simplify (/ -1 1) into -1
6.266 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.266 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.266 * [taylor]: Taking taylor expansion of -1 in re
6.266 * [backup-simplify]: Simplify -1 into -1
6.266 * [taylor]: Taking taylor expansion of im in re
6.266 * [backup-simplify]: Simplify im into im
6.266 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.266 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.266 * [taylor]: Taking taylor expansion of -1 in re
6.266 * [backup-simplify]: Simplify -1 into -1
6.266 * [taylor]: Taking taylor expansion of im in re
6.266 * [backup-simplify]: Simplify im into im
6.266 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.266 * [backup-simplify]: Simplify (* -1 -1) into 1
6.266 * [backup-simplify]: Simplify (+ 1 0) into 1
6.267 * [backup-simplify]: Simplify (sqrt 1) into 1
6.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.268 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.268 * [backup-simplify]: Simplify (+ 0 0) into 0
6.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.268 * [taylor]: Taking taylor expansion of re in re
6.269 * [backup-simplify]: Simplify 0 into 0
6.269 * [backup-simplify]: Simplify 1 into 1
6.269 * [backup-simplify]: Simplify (/ 1 1) into 1
6.269 * [backup-simplify]: Simplify (- 1) into -1
6.269 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.269 * [taylor]: Taking taylor expansion of 0 in im
6.269 * [backup-simplify]: Simplify 0 into 0
6.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (- 0) into 0
6.270 * [backup-simplify]: Simplify (+ 0 0) into 0
6.270 * [taylor]: Taking taylor expansion of 0 in im
6.270 * [backup-simplify]: Simplify 0 into 0
6.270 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.272 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.272 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.272 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.273 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.274 * [backup-simplify]: Simplify (- 0) into 0
6.274 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.274 * [taylor]: Taking taylor expansion of 1/2 in im
6.274 * [backup-simplify]: Simplify 1/2 into 1/2
6.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.274 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.274 * [taylor]: Taking taylor expansion of im in im
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify 1 into 1
6.274 * [backup-simplify]: Simplify (* 1 1) into 1
6.274 * [backup-simplify]: Simplify (/ 1 1) into 1
6.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.277 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.278 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.278 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.278 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.278 * [backup-simplify]: Simplify (+ 0 0) into 0
6.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.279 * [backup-simplify]: Simplify (- 0) into 0
6.279 * [backup-simplify]: Simplify (+ 0 0) into 0
6.279 * [taylor]: Taking taylor expansion of 0 in im
6.279 * [backup-simplify]: Simplify 0 into 0
6.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.281 * [backup-simplify]: Simplify 0 into 0
6.281 * [backup-simplify]: Simplify 0 into 0
6.281 * [backup-simplify]: Simplify 0 into 0
6.281 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
6.281 * [backup-simplify]: Simplify (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
6.281 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
6.282 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
6.282 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
6.282 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
6.282 * [taylor]: Taking taylor expansion of re in im
6.282 * [backup-simplify]: Simplify re into re
6.282 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.282 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.282 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.282 * [taylor]: Taking taylor expansion of (* re re) in im
6.282 * [taylor]: Taking taylor expansion of re in im
6.282 * [backup-simplify]: Simplify re into re
6.282 * [taylor]: Taking taylor expansion of re in im
6.282 * [backup-simplify]: Simplify re into re
6.282 * [taylor]: Taking taylor expansion of (* im im) in im
6.282 * [taylor]: Taking taylor expansion of im in im
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify 1 into 1
6.282 * [taylor]: Taking taylor expansion of im in im
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify 1 into 1
6.282 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.282 * [backup-simplify]: Simplify (* 0 0) into 0
6.282 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.282 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.282 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.283 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.283 * [backup-simplify]: Simplify (+ 0 0) into 0
6.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.283 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
6.283 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
6.284 * [backup-simplify]: Simplify (+ 0 0) into 0
6.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.284 * [taylor]: Taking taylor expansion of 2.0 in im
6.284 * [backup-simplify]: Simplify 2.0 into 2.0
6.284 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.285 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
6.285 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
6.285 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
6.285 * [taylor]: Taking taylor expansion of re in re
6.285 * [backup-simplify]: Simplify 0 into 0
6.285 * [backup-simplify]: Simplify 1 into 1
6.285 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.285 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.285 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.285 * [taylor]: Taking taylor expansion of (* re re) in re
6.285 * [taylor]: Taking taylor expansion of re in re
6.285 * [backup-simplify]: Simplify 0 into 0
6.285 * [backup-simplify]: Simplify 1 into 1
6.285 * [taylor]: Taking taylor expansion of re in re
6.285 * [backup-simplify]: Simplify 0 into 0
6.285 * [backup-simplify]: Simplify 1 into 1
6.285 * [taylor]: Taking taylor expansion of (* im im) in re
6.285 * [taylor]: Taking taylor expansion of im in re
6.285 * [backup-simplify]: Simplify im into im
6.285 * [taylor]: Taking taylor expansion of im in re
6.285 * [backup-simplify]: Simplify im into im
6.285 * [backup-simplify]: Simplify (* 0 0) into 0
6.285 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.285 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.285 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.286 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.286 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.286 * [backup-simplify]: Simplify (+ 0 0) into 0
6.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.286 * [backup-simplify]: Simplify (+ 0 im) into im
6.286 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.287 * [backup-simplify]: Simplify (+ 1 0) into 1
6.287 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.287 * [taylor]: Taking taylor expansion of 2.0 in re
6.287 * [backup-simplify]: Simplify 2.0 into 2.0
6.287 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.287 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
6.287 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
6.287 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
6.287 * [taylor]: Taking taylor expansion of re in re
6.287 * [backup-simplify]: Simplify 0 into 0
6.287 * [backup-simplify]: Simplify 1 into 1
6.287 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.288 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.288 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.288 * [taylor]: Taking taylor expansion of (* re re) in re
6.288 * [taylor]: Taking taylor expansion of re in re
6.288 * [backup-simplify]: Simplify 0 into 0
6.288 * [backup-simplify]: Simplify 1 into 1
6.288 * [taylor]: Taking taylor expansion of re in re
6.288 * [backup-simplify]: Simplify 0 into 0
6.288 * [backup-simplify]: Simplify 1 into 1
6.288 * [taylor]: Taking taylor expansion of (* im im) in re
6.288 * [taylor]: Taking taylor expansion of im in re
6.288 * [backup-simplify]: Simplify im into im
6.288 * [taylor]: Taking taylor expansion of im in re
6.288 * [backup-simplify]: Simplify im into im
6.288 * [backup-simplify]: Simplify (* 0 0) into 0
6.288 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.288 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.288 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.289 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.289 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.289 * [backup-simplify]: Simplify (+ 0 0) into 0
6.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.289 * [backup-simplify]: Simplify (+ 0 im) into im
6.289 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.289 * [backup-simplify]: Simplify (+ 1 0) into 1
6.290 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.290 * [taylor]: Taking taylor expansion of 2.0 in re
6.290 * [backup-simplify]: Simplify 2.0 into 2.0
6.290 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.291 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
6.291 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
6.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.291 * [taylor]: Taking taylor expansion of 2.0 in im
6.291 * [backup-simplify]: Simplify 2.0 into 2.0
6.291 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.291 * [taylor]: Taking taylor expansion of (sqrt im) in im
6.291 * [taylor]: Taking taylor expansion of im in im
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify 1 into 1
6.292 * [backup-simplify]: Simplify (sqrt 0) into 0
6.293 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.293 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
6.293 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
6.293 * [taylor]: Taking taylor expansion of 1/2 in im
6.293 * [backup-simplify]: Simplify 1/2 into 1/2
6.293 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
6.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.293 * [taylor]: Taking taylor expansion of 2.0 in im
6.293 * [backup-simplify]: Simplify 2.0 into 2.0
6.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.294 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
6.294 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.294 * [taylor]: Taking taylor expansion of im in im
6.294 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify 1 into 1
6.294 * [backup-simplify]: Simplify (/ 1 1) into 1
6.295 * [backup-simplify]: Simplify (sqrt 0) into 0
6.295 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.297 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.297 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.299 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.300 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.301 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.302 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.303 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.304 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.304 * [backup-simplify]: Simplify (+ 1 0) into 1
6.305 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.305 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.306 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
6.307 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
6.307 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
6.307 * [taylor]: Taking taylor expansion of 1/8 in im
6.307 * [backup-simplify]: Simplify 1/8 into 1/8
6.307 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
6.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.307 * [taylor]: Taking taylor expansion of 2.0 in im
6.307 * [backup-simplify]: Simplify 2.0 into 2.0
6.307 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
6.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
6.308 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.308 * [taylor]: Taking taylor expansion of im in im
6.308 * [backup-simplify]: Simplify 0 into 0
6.308 * [backup-simplify]: Simplify 1 into 1
6.309 * [backup-simplify]: Simplify (* 1 1) into 1
6.309 * [backup-simplify]: Simplify (* 1 1) into 1
6.309 * [backup-simplify]: Simplify (/ 1 1) into 1
6.310 * [backup-simplify]: Simplify (sqrt 0) into 0
6.311 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.316 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.320 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.322 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.322 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.327 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.329 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.333 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
6.334 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
6.334 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
6.334 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
6.334 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
6.334 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
6.334 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.335 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.335 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.335 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.335 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.335 * [taylor]: Taking taylor expansion of re in im
6.335 * [backup-simplify]: Simplify re into re
6.335 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.335 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.335 * [taylor]: Taking taylor expansion of re in im
6.335 * [backup-simplify]: Simplify re into re
6.335 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.335 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.335 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.335 * [taylor]: Taking taylor expansion of im in im
6.335 * [backup-simplify]: Simplify 0 into 0
6.335 * [backup-simplify]: Simplify 1 into 1
6.335 * [backup-simplify]: Simplify (/ 1 1) into 1
6.335 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.336 * [taylor]: Taking taylor expansion of im in im
6.336 * [backup-simplify]: Simplify 0 into 0
6.336 * [backup-simplify]: Simplify 1 into 1
6.336 * [backup-simplify]: Simplify (/ 1 1) into 1
6.336 * [backup-simplify]: Simplify (* 1 1) into 1
6.337 * [backup-simplify]: Simplify (+ 0 1) into 1
6.337 * [backup-simplify]: Simplify (sqrt 1) into 1
6.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.340 * [backup-simplify]: Simplify (+ 0 0) into 0
6.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.340 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.340 * [taylor]: Taking taylor expansion of re in im
6.340 * [backup-simplify]: Simplify re into re
6.340 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.341 * [backup-simplify]: Simplify (+ 1 0) into 1
6.341 * [backup-simplify]: Simplify (sqrt 0) into 0
6.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.343 * [taylor]: Taking taylor expansion of 2.0 in im
6.343 * [backup-simplify]: Simplify 2.0 into 2.0
6.343 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.344 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
6.344 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
6.344 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.344 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.344 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.344 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.344 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.344 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.344 * [taylor]: Taking taylor expansion of re in re
6.344 * [backup-simplify]: Simplify 0 into 0
6.344 * [backup-simplify]: Simplify 1 into 1
6.345 * [backup-simplify]: Simplify (/ 1 1) into 1
6.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.345 * [taylor]: Taking taylor expansion of re in re
6.345 * [backup-simplify]: Simplify 0 into 0
6.345 * [backup-simplify]: Simplify 1 into 1
6.345 * [backup-simplify]: Simplify (/ 1 1) into 1
6.345 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.345 * [taylor]: Taking taylor expansion of im in re
6.345 * [backup-simplify]: Simplify im into im
6.345 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.346 * [taylor]: Taking taylor expansion of im in re
6.346 * [backup-simplify]: Simplify im into im
6.346 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.346 * [backup-simplify]: Simplify (* 1 1) into 1
6.346 * [backup-simplify]: Simplify (+ 1 0) into 1
6.347 * [backup-simplify]: Simplify (sqrt 1) into 1
6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.349 * [backup-simplify]: Simplify (+ 0 0) into 0
6.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.350 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.350 * [taylor]: Taking taylor expansion of re in re
6.350 * [backup-simplify]: Simplify 0 into 0
6.350 * [backup-simplify]: Simplify 1 into 1
6.350 * [backup-simplify]: Simplify (/ 1 1) into 1
6.351 * [backup-simplify]: Simplify (+ 1 1) into 2
6.351 * [backup-simplify]: Simplify (sqrt 0) into 0
6.352 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.352 * [taylor]: Taking taylor expansion of 2.0 in re
6.352 * [backup-simplify]: Simplify 2.0 into 2.0
6.353 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.354 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
6.354 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
6.354 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.354 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.354 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.354 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.354 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.354 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.354 * [taylor]: Taking taylor expansion of re in re
6.354 * [backup-simplify]: Simplify 0 into 0
6.354 * [backup-simplify]: Simplify 1 into 1
6.354 * [backup-simplify]: Simplify (/ 1 1) into 1
6.354 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.355 * [taylor]: Taking taylor expansion of re in re
6.355 * [backup-simplify]: Simplify 0 into 0
6.355 * [backup-simplify]: Simplify 1 into 1
6.355 * [backup-simplify]: Simplify (/ 1 1) into 1
6.355 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.355 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.355 * [taylor]: Taking taylor expansion of im in re
6.355 * [backup-simplify]: Simplify im into im
6.355 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.355 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.355 * [taylor]: Taking taylor expansion of im in re
6.355 * [backup-simplify]: Simplify im into im
6.355 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.356 * [backup-simplify]: Simplify (* 1 1) into 1
6.356 * [backup-simplify]: Simplify (+ 1 0) into 1
6.357 * [backup-simplify]: Simplify (sqrt 1) into 1
6.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.364 * [backup-simplify]: Simplify (+ 0 0) into 0
6.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.365 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.365 * [taylor]: Taking taylor expansion of re in re
6.365 * [backup-simplify]: Simplify 0 into 0
6.365 * [backup-simplify]: Simplify 1 into 1
6.365 * [backup-simplify]: Simplify (/ 1 1) into 1
6.366 * [backup-simplify]: Simplify (+ 1 1) into 2
6.366 * [backup-simplify]: Simplify (sqrt 0) into 0
6.367 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.368 * [taylor]: Taking taylor expansion of 2.0 in re
6.368 * [backup-simplify]: Simplify 2.0 into 2.0
6.368 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.369 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
6.369 * [taylor]: Taking taylor expansion of 0 in im
6.369 * [backup-simplify]: Simplify 0 into 0
6.371 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.371 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.371 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.372 * [taylor]: Taking taylor expansion of +nan.0 in im
6.372 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.372 * [taylor]: Taking taylor expansion of 2.0 in im
6.372 * [backup-simplify]: Simplify 2.0 into 2.0
6.372 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.373 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.375 * [backup-simplify]: Simplify (+ 0 0) into 0
6.378 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.382 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.382 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.382 * [taylor]: Taking taylor expansion of +nan.0 in im
6.382 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.382 * [taylor]: Taking taylor expansion of 2.0 in im
6.382 * [backup-simplify]: Simplify 2.0 into 2.0
6.382 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.384 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.386 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.387 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.387 * [backup-simplify]: Simplify 0 into 0
6.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.391 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.392 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.393 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.394 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.396 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
6.399 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
6.399 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
6.399 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.399 * [taylor]: Taking taylor expansion of +nan.0 in im
6.399 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.399 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.399 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.399 * [taylor]: Taking taylor expansion of 2.0 in im
6.399 * [backup-simplify]: Simplify 2.0 into 2.0
6.399 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.400 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.400 * [taylor]: Taking taylor expansion of im in im
6.400 * [backup-simplify]: Simplify 0 into 0
6.400 * [backup-simplify]: Simplify 1 into 1
6.401 * [backup-simplify]: Simplify (* 1 1) into 1
6.402 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.402 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.402 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.402 * [taylor]: Taking taylor expansion of +nan.0 in im
6.402 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.402 * [taylor]: Taking taylor expansion of 2.0 in im
6.402 * [backup-simplify]: Simplify 2.0 into 2.0
6.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.406 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.406 * [backup-simplify]: Simplify (+ 0 0) into 0
6.406 * [backup-simplify]: Simplify (- 0) into 0
6.407 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.409 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.411 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.412 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.412 * [backup-simplify]: Simplify (- 0) into 0
6.412 * [backup-simplify]: Simplify 0 into 0
6.412 * [backup-simplify]: Simplify 0 into 0
6.414 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.417 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.418 * [backup-simplify]: Simplify (+ 0 0) into 0
6.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.420 * [backup-simplify]: Simplify (+ 0 0) into 0
6.421 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
6.424 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
6.424 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
6.424 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.424 * [taylor]: Taking taylor expansion of +nan.0 in im
6.424 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.424 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.425 * [taylor]: Taking taylor expansion of 2.0 in im
6.425 * [backup-simplify]: Simplify 2.0 into 2.0
6.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.426 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.426 * [taylor]: Taking taylor expansion of im in im
6.426 * [backup-simplify]: Simplify 0 into 0
6.426 * [backup-simplify]: Simplify 1 into 1
6.426 * [backup-simplify]: Simplify (* 1 1) into 1
6.427 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.427 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.427 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.427 * [taylor]: Taking taylor expansion of +nan.0 in im
6.427 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.427 * [taylor]: Taking taylor expansion of 2.0 in im
6.427 * [backup-simplify]: Simplify 2.0 into 2.0
6.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.431 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.431 * [backup-simplify]: Simplify (+ 0 0) into 0
6.432 * [backup-simplify]: Simplify (- 0) into 0
6.432 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.437 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.438 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.440 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.443 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.446 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.448 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.453 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
6.454 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
6.454 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
6.454 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
6.454 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.454 * [taylor]: Taking taylor expansion of 2.0 in im
6.454 * [backup-simplify]: Simplify 2.0 into 2.0
6.454 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.455 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
6.455 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.455 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.455 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.455 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.455 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.455 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.456 * [taylor]: Taking taylor expansion of -1 in im
6.456 * [backup-simplify]: Simplify -1 into -1
6.456 * [taylor]: Taking taylor expansion of re in im
6.456 * [backup-simplify]: Simplify re into re
6.456 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.456 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.456 * [taylor]: Taking taylor expansion of -1 in im
6.456 * [backup-simplify]: Simplify -1 into -1
6.456 * [taylor]: Taking taylor expansion of re in im
6.456 * [backup-simplify]: Simplify re into re
6.456 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.456 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.456 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.456 * [taylor]: Taking taylor expansion of -1 in im
6.456 * [backup-simplify]: Simplify -1 into -1
6.456 * [taylor]: Taking taylor expansion of im in im
6.456 * [backup-simplify]: Simplify 0 into 0
6.456 * [backup-simplify]: Simplify 1 into 1
6.456 * [backup-simplify]: Simplify (/ -1 1) into -1
6.457 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.457 * [taylor]: Taking taylor expansion of -1 in im
6.457 * [backup-simplify]: Simplify -1 into -1
6.457 * [taylor]: Taking taylor expansion of im in im
6.457 * [backup-simplify]: Simplify 0 into 0
6.457 * [backup-simplify]: Simplify 1 into 1
6.457 * [backup-simplify]: Simplify (/ -1 1) into -1
6.457 * [backup-simplify]: Simplify (* -1 -1) into 1
6.458 * [backup-simplify]: Simplify (+ 0 1) into 1
6.458 * [backup-simplify]: Simplify (sqrt 1) into 1
6.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.460 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.461 * [backup-simplify]: Simplify (+ 0 0) into 0
6.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.462 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.462 * [taylor]: Taking taylor expansion of re in im
6.462 * [backup-simplify]: Simplify re into re
6.462 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.462 * [backup-simplify]: Simplify (+ 1 0) into 1
6.463 * [backup-simplify]: Simplify (sqrt 0) into 0
6.464 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.464 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
6.464 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.464 * [taylor]: Taking taylor expansion of 2.0 in re
6.464 * [backup-simplify]: Simplify 2.0 into 2.0
6.465 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.466 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
6.466 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.466 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.466 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.466 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.466 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.466 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.466 * [taylor]: Taking taylor expansion of -1 in re
6.466 * [backup-simplify]: Simplify -1 into -1
6.466 * [taylor]: Taking taylor expansion of re in re
6.466 * [backup-simplify]: Simplify 0 into 0
6.466 * [backup-simplify]: Simplify 1 into 1
6.467 * [backup-simplify]: Simplify (/ -1 1) into -1
6.467 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.467 * [taylor]: Taking taylor expansion of -1 in re
6.467 * [backup-simplify]: Simplify -1 into -1
6.467 * [taylor]: Taking taylor expansion of re in re
6.467 * [backup-simplify]: Simplify 0 into 0
6.467 * [backup-simplify]: Simplify 1 into 1
6.467 * [backup-simplify]: Simplify (/ -1 1) into -1
6.467 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.467 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.467 * [taylor]: Taking taylor expansion of -1 in re
6.467 * [backup-simplify]: Simplify -1 into -1
6.467 * [taylor]: Taking taylor expansion of im in re
6.467 * [backup-simplify]: Simplify im into im
6.467 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.467 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.467 * [taylor]: Taking taylor expansion of -1 in re
6.467 * [backup-simplify]: Simplify -1 into -1
6.468 * [taylor]: Taking taylor expansion of im in re
6.468 * [backup-simplify]: Simplify im into im
6.468 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.468 * [backup-simplify]: Simplify (* -1 -1) into 1
6.468 * [backup-simplify]: Simplify (+ 1 0) into 1
6.469 * [backup-simplify]: Simplify (sqrt 1) into 1
6.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.471 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.472 * [backup-simplify]: Simplify (+ 0 0) into 0
6.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.472 * [taylor]: Taking taylor expansion of re in re
6.472 * [backup-simplify]: Simplify 0 into 0
6.472 * [backup-simplify]: Simplify 1 into 1
6.473 * [backup-simplify]: Simplify (/ 1 1) into 1
6.473 * [backup-simplify]: Simplify (- 1) into -1
6.473 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.475 * [backup-simplify]: Simplify (- 0) into 0
6.475 * [backup-simplify]: Simplify (+ 0 0) into 0
6.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.478 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.478 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.478 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.479 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.481 * [backup-simplify]: Simplify (- 0) into 0
6.481 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.481 * [backup-simplify]: Simplify (sqrt 0) into 0
6.482 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.482 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
6.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.482 * [taylor]: Taking taylor expansion of 2.0 in re
6.482 * [backup-simplify]: Simplify 2.0 into 2.0
6.482 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.483 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
6.483 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.483 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.483 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.484 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.484 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.484 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.484 * [taylor]: Taking taylor expansion of -1 in re
6.484 * [backup-simplify]: Simplify -1 into -1
6.484 * [taylor]: Taking taylor expansion of re in re
6.484 * [backup-simplify]: Simplify 0 into 0
6.484 * [backup-simplify]: Simplify 1 into 1
6.484 * [backup-simplify]: Simplify (/ -1 1) into -1
6.484 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.484 * [taylor]: Taking taylor expansion of -1 in re
6.484 * [backup-simplify]: Simplify -1 into -1
6.484 * [taylor]: Taking taylor expansion of re in re
6.484 * [backup-simplify]: Simplify 0 into 0
6.484 * [backup-simplify]: Simplify 1 into 1
6.485 * [backup-simplify]: Simplify (/ -1 1) into -1
6.485 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.485 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.485 * [taylor]: Taking taylor expansion of -1 in re
6.485 * [backup-simplify]: Simplify -1 into -1
6.485 * [taylor]: Taking taylor expansion of im in re
6.485 * [backup-simplify]: Simplify im into im
6.485 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.485 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.485 * [taylor]: Taking taylor expansion of -1 in re
6.485 * [backup-simplify]: Simplify -1 into -1
6.485 * [taylor]: Taking taylor expansion of im in re
6.485 * [backup-simplify]: Simplify im into im
6.485 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.486 * [backup-simplify]: Simplify (* -1 -1) into 1
6.486 * [backup-simplify]: Simplify (+ 1 0) into 1
6.486 * [backup-simplify]: Simplify (sqrt 1) into 1
6.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.489 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.489 * [backup-simplify]: Simplify (+ 0 0) into 0
6.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.490 * [taylor]: Taking taylor expansion of re in re
6.490 * [backup-simplify]: Simplify 0 into 0
6.490 * [backup-simplify]: Simplify 1 into 1
6.490 * [backup-simplify]: Simplify (/ 1 1) into 1
6.490 * [backup-simplify]: Simplify (- 1) into -1
6.491 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.492 * [backup-simplify]: Simplify (- 0) into 0
6.492 * [backup-simplify]: Simplify (+ 0 0) into 0
6.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.495 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.495 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.496 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.497 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.498 * [backup-simplify]: Simplify (- 0) into 0
6.499 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.499 * [backup-simplify]: Simplify (sqrt 0) into 0
6.500 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.500 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.500 * [taylor]: Taking taylor expansion of 0 in im
6.500 * [backup-simplify]: Simplify 0 into 0
6.501 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
6.501 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
6.501 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.502 * [taylor]: Taking taylor expansion of +nan.0 in im
6.502 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.502 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.502 * [taylor]: Taking taylor expansion of 2.0 in im
6.502 * [backup-simplify]: Simplify 2.0 into 2.0
6.502 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.503 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.503 * [taylor]: Taking taylor expansion of im in im
6.503 * [backup-simplify]: Simplify 0 into 0
6.503 * [backup-simplify]: Simplify 1 into 1
6.503 * [backup-simplify]: Simplify (* 1 1) into 1
6.504 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.507 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.507 * [backup-simplify]: Simplify (- 0) into 0
6.507 * [backup-simplify]: Simplify 0 into 0
6.507 * [backup-simplify]: Simplify 0 into 0
6.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.509 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.509 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.509 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.509 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.509 * [backup-simplify]: Simplify (+ 0 0) into 0
6.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.514 * [backup-simplify]: Simplify (- 0) into 0
6.514 * [backup-simplify]: Simplify (+ 0 0) into 0
6.515 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
6.516 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.517 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
6.517 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
6.517 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
6.517 * [taylor]: Taking taylor expansion of +nan.0 in im
6.517 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.517 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
6.517 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.517 * [taylor]: Taking taylor expansion of 2.0 in im
6.517 * [backup-simplify]: Simplify 2.0 into 2.0
6.517 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.518 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.518 * [taylor]: Taking taylor expansion of im in im
6.518 * [backup-simplify]: Simplify 0 into 0
6.518 * [backup-simplify]: Simplify 1 into 1
6.518 * [backup-simplify]: Simplify (* 1 1) into 1
6.518 * [backup-simplify]: Simplify (* 1 1) into 1
6.519 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.525 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
6.526 * [backup-simplify]: Simplify (- 0) into 0
6.526 * [backup-simplify]: Simplify 0 into 0
6.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.528 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.528 * [backup-simplify]: Simplify (- 0) into 0
6.528 * [backup-simplify]: Simplify 0 into 0
6.528 * [backup-simplify]: Simplify 0 into 0
6.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.530 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
6.530 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
6.531 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
6.531 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
6.531 * [backup-simplify]: Simplify (+ 0 0) into 0
6.532 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
6.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.533 * [backup-simplify]: Simplify (- 0) into 0
6.533 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
6.534 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
6.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.536 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
6.536 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
6.536 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
6.536 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
6.536 * [taylor]: Taking taylor expansion of +nan.0 in im
6.536 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.536 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
6.536 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.536 * [taylor]: Taking taylor expansion of 2.0 in im
6.536 * [backup-simplify]: Simplify 2.0 into 2.0
6.536 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.537 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.537 * [taylor]: Taking taylor expansion of im in im
6.537 * [backup-simplify]: Simplify 0 into 0
6.537 * [backup-simplify]: Simplify 1 into 1
6.537 * [backup-simplify]: Simplify (* 1 1) into 1
6.537 * [backup-simplify]: Simplify (* 1 1) into 1
6.538 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.538 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
6.538 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
6.538 * [taylor]: Taking taylor expansion of +nan.0 in im
6.538 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.538 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
6.538 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.538 * [taylor]: Taking taylor expansion of 2.0 in im
6.538 * [backup-simplify]: Simplify 2.0 into 2.0
6.538 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.539 * [taylor]: Taking taylor expansion of (pow im 6) in im
6.539 * [taylor]: Taking taylor expansion of im in im
6.539 * [backup-simplify]: Simplify 0 into 0
6.539 * [backup-simplify]: Simplify 1 into 1
6.539 * [backup-simplify]: Simplify (* 1 1) into 1
6.539 * [backup-simplify]: Simplify (* 1 1) into 1
6.539 * [backup-simplify]: Simplify (* 1 1) into 1
6.540 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.541 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.550 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
6.551 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.554 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.578 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
6.579 * [backup-simplify]: Simplify (- 0) into 0
6.579 * [backup-simplify]: Simplify (+ 0 0) into 0
6.579 * [backup-simplify]: Simplify (- 0) into 0
6.579 * [backup-simplify]: Simplify 0 into 0
6.579 * [backup-simplify]: Simplify 0 into 0
6.579 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2)
6.580 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
6.580 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
6.580 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.580 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.580 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.580 * [taylor]: Taking taylor expansion of (* re re) in im
6.580 * [taylor]: Taking taylor expansion of re in im
6.580 * [backup-simplify]: Simplify re into re
6.580 * [taylor]: Taking taylor expansion of re in im
6.580 * [backup-simplify]: Simplify re into re
6.580 * [taylor]: Taking taylor expansion of (* im im) in im
6.580 * [taylor]: Taking taylor expansion of im in im
6.580 * [backup-simplify]: Simplify 0 into 0
6.580 * [backup-simplify]: Simplify 1 into 1
6.580 * [taylor]: Taking taylor expansion of im in im
6.580 * [backup-simplify]: Simplify 0 into 0
6.580 * [backup-simplify]: Simplify 1 into 1
6.580 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.581 * [backup-simplify]: Simplify (* 0 0) into 0
6.581 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.581 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.581 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.582 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.582 * [backup-simplify]: Simplify (+ 0 0) into 0
6.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.582 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.583 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.583 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.583 * [taylor]: Taking taylor expansion of (* re re) in re
6.583 * [taylor]: Taking taylor expansion of re in re
6.583 * [backup-simplify]: Simplify 0 into 0
6.583 * [backup-simplify]: Simplify 1 into 1
6.583 * [taylor]: Taking taylor expansion of re in re
6.583 * [backup-simplify]: Simplify 0 into 0
6.583 * [backup-simplify]: Simplify 1 into 1
6.583 * [taylor]: Taking taylor expansion of (* im im) in re
6.583 * [taylor]: Taking taylor expansion of im in re
6.583 * [backup-simplify]: Simplify im into im
6.583 * [taylor]: Taking taylor expansion of im in re
6.583 * [backup-simplify]: Simplify im into im
6.583 * [backup-simplify]: Simplify (* 0 0) into 0
6.583 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.583 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.584 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.584 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.584 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.585 * [backup-simplify]: Simplify (+ 0 0) into 0
6.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.585 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.585 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.585 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.585 * [taylor]: Taking taylor expansion of (* re re) in re
6.585 * [taylor]: Taking taylor expansion of re in re
6.585 * [backup-simplify]: Simplify 0 into 0
6.585 * [backup-simplify]: Simplify 1 into 1
6.585 * [taylor]: Taking taylor expansion of re in re
6.585 * [backup-simplify]: Simplify 0 into 0
6.585 * [backup-simplify]: Simplify 1 into 1
6.585 * [taylor]: Taking taylor expansion of (* im im) in re
6.585 * [taylor]: Taking taylor expansion of im in re
6.585 * [backup-simplify]: Simplify im into im
6.585 * [taylor]: Taking taylor expansion of im in re
6.585 * [backup-simplify]: Simplify im into im
6.586 * [backup-simplify]: Simplify (* 0 0) into 0
6.586 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.586 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.586 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.587 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.587 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.587 * [backup-simplify]: Simplify (+ 0 0) into 0
6.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.588 * [taylor]: Taking taylor expansion of im in im
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [backup-simplify]: Simplify 1 into 1
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [taylor]: Taking taylor expansion of 0 in im
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [backup-simplify]: Simplify 1 into 1
6.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.589 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.590 * [backup-simplify]: Simplify (+ 1 0) into 1
6.590 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.590 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.590 * [taylor]: Taking taylor expansion of 1/2 in im
6.590 * [backup-simplify]: Simplify 1/2 into 1/2
6.590 * [taylor]: Taking taylor expansion of im in im
6.590 * [backup-simplify]: Simplify 0 into 0
6.591 * [backup-simplify]: Simplify 1 into 1
6.591 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.592 * [backup-simplify]: Simplify 0 into 0
6.592 * [backup-simplify]: Simplify 0 into 0
6.592 * [backup-simplify]: Simplify 0 into 0
6.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.594 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.594 * [backup-simplify]: Simplify (+ 0 0) into 0
6.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.594 * [taylor]: Taking taylor expansion of 0 in im
6.594 * [backup-simplify]: Simplify 0 into 0
6.594 * [backup-simplify]: Simplify 0 into 0
6.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.595 * [backup-simplify]: Simplify 0 into 0
6.595 * [backup-simplify]: Simplify 0 into 0
6.595 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.596 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
6.596 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
6.596 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.596 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.596 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.596 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.596 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.596 * [taylor]: Taking taylor expansion of re in im
6.596 * [backup-simplify]: Simplify re into re
6.596 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.596 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.596 * [taylor]: Taking taylor expansion of re in im
6.596 * [backup-simplify]: Simplify re into re
6.596 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.596 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.596 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.596 * [taylor]: Taking taylor expansion of im in im
6.596 * [backup-simplify]: Simplify 0 into 0
6.596 * [backup-simplify]: Simplify 1 into 1
6.597 * [backup-simplify]: Simplify (/ 1 1) into 1
6.597 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.597 * [taylor]: Taking taylor expansion of im in im
6.597 * [backup-simplify]: Simplify 0 into 0
6.597 * [backup-simplify]: Simplify 1 into 1
6.597 * [backup-simplify]: Simplify (/ 1 1) into 1
6.597 * [backup-simplify]: Simplify (* 1 1) into 1
6.598 * [backup-simplify]: Simplify (+ 0 1) into 1
6.598 * [backup-simplify]: Simplify (sqrt 1) into 1
6.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.601 * [backup-simplify]: Simplify (+ 0 0) into 0
6.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.601 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.602 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.602 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.602 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.602 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.602 * [taylor]: Taking taylor expansion of re in re
6.602 * [backup-simplify]: Simplify 0 into 0
6.602 * [backup-simplify]: Simplify 1 into 1
6.602 * [backup-simplify]: Simplify (/ 1 1) into 1
6.602 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.602 * [taylor]: Taking taylor expansion of re in re
6.602 * [backup-simplify]: Simplify 0 into 0
6.602 * [backup-simplify]: Simplify 1 into 1
6.603 * [backup-simplify]: Simplify (/ 1 1) into 1
6.603 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.603 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.603 * [taylor]: Taking taylor expansion of im in re
6.603 * [backup-simplify]: Simplify im into im
6.603 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.603 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.603 * [taylor]: Taking taylor expansion of im in re
6.603 * [backup-simplify]: Simplify im into im
6.603 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.603 * [backup-simplify]: Simplify (* 1 1) into 1
6.604 * [backup-simplify]: Simplify (+ 1 0) into 1
6.604 * [backup-simplify]: Simplify (sqrt 1) into 1
6.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.607 * [backup-simplify]: Simplify (+ 0 0) into 0
6.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.608 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.608 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.608 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.608 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.608 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.608 * [taylor]: Taking taylor expansion of re in re
6.608 * [backup-simplify]: Simplify 0 into 0
6.608 * [backup-simplify]: Simplify 1 into 1
6.609 * [backup-simplify]: Simplify (/ 1 1) into 1
6.609 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.609 * [taylor]: Taking taylor expansion of re in re
6.609 * [backup-simplify]: Simplify 0 into 0
6.609 * [backup-simplify]: Simplify 1 into 1
6.609 * [backup-simplify]: Simplify (/ 1 1) into 1
6.609 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.609 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.609 * [taylor]: Taking taylor expansion of im in re
6.609 * [backup-simplify]: Simplify im into im
6.609 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.609 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.609 * [taylor]: Taking taylor expansion of im in re
6.610 * [backup-simplify]: Simplify im into im
6.610 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.610 * [backup-simplify]: Simplify (* 1 1) into 1
6.610 * [backup-simplify]: Simplify (+ 1 0) into 1
6.611 * [backup-simplify]: Simplify (sqrt 1) into 1
6.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.613 * [backup-simplify]: Simplify (+ 0 0) into 0
6.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.614 * [taylor]: Taking taylor expansion of 1 in im
6.614 * [backup-simplify]: Simplify 1 into 1
6.614 * [taylor]: Taking taylor expansion of 0 in im
6.614 * [backup-simplify]: Simplify 0 into 0
6.614 * [backup-simplify]: Simplify 1 into 1
6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.617 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.618 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.619 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.619 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.619 * [taylor]: Taking taylor expansion of 1/2 in im
6.619 * [backup-simplify]: Simplify 1/2 into 1/2
6.619 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.619 * [taylor]: Taking taylor expansion of im in im
6.619 * [backup-simplify]: Simplify 0 into 0
6.619 * [backup-simplify]: Simplify 1 into 1
6.620 * [backup-simplify]: Simplify (* 1 1) into 1
6.620 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.622 * [backup-simplify]: Simplify 0 into 0
6.622 * [backup-simplify]: Simplify 0 into 0
6.622 * [backup-simplify]: Simplify 0 into 0
6.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.625 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.625 * [backup-simplify]: Simplify (+ 0 0) into 0
6.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.626 * [taylor]: Taking taylor expansion of 0 in im
6.626 * [backup-simplify]: Simplify 0 into 0
6.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.628 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
6.628 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
6.628 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.629 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.629 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.629 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.629 * [taylor]: Taking taylor expansion of -1 in im
6.629 * [backup-simplify]: Simplify -1 into -1
6.629 * [taylor]: Taking taylor expansion of re in im
6.629 * [backup-simplify]: Simplify re into re
6.629 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.629 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.629 * [taylor]: Taking taylor expansion of -1 in im
6.629 * [backup-simplify]: Simplify -1 into -1
6.629 * [taylor]: Taking taylor expansion of re in im
6.629 * [backup-simplify]: Simplify re into re
6.629 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.629 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.629 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.629 * [taylor]: Taking taylor expansion of -1 in im
6.629 * [backup-simplify]: Simplify -1 into -1
6.629 * [taylor]: Taking taylor expansion of im in im
6.629 * [backup-simplify]: Simplify 0 into 0
6.629 * [backup-simplify]: Simplify 1 into 1
6.630 * [backup-simplify]: Simplify (/ -1 1) into -1
6.630 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.630 * [taylor]: Taking taylor expansion of -1 in im
6.630 * [backup-simplify]: Simplify -1 into -1
6.630 * [taylor]: Taking taylor expansion of im in im
6.630 * [backup-simplify]: Simplify 0 into 0
6.630 * [backup-simplify]: Simplify 1 into 1
6.630 * [backup-simplify]: Simplify (/ -1 1) into -1
6.631 * [backup-simplify]: Simplify (* -1 -1) into 1
6.631 * [backup-simplify]: Simplify (+ 0 1) into 1
6.632 * [backup-simplify]: Simplify (sqrt 1) into 1
6.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.634 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.634 * [backup-simplify]: Simplify (+ 0 0) into 0
6.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.635 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.635 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.635 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.635 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.635 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.635 * [taylor]: Taking taylor expansion of -1 in re
6.635 * [backup-simplify]: Simplify -1 into -1
6.636 * [taylor]: Taking taylor expansion of re in re
6.636 * [backup-simplify]: Simplify 0 into 0
6.636 * [backup-simplify]: Simplify 1 into 1
6.636 * [backup-simplify]: Simplify (/ -1 1) into -1
6.636 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.636 * [taylor]: Taking taylor expansion of -1 in re
6.636 * [backup-simplify]: Simplify -1 into -1
6.636 * [taylor]: Taking taylor expansion of re in re
6.636 * [backup-simplify]: Simplify 0 into 0
6.636 * [backup-simplify]: Simplify 1 into 1
6.637 * [backup-simplify]: Simplify (/ -1 1) into -1
6.637 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.637 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.637 * [taylor]: Taking taylor expansion of -1 in re
6.637 * [backup-simplify]: Simplify -1 into -1
6.637 * [taylor]: Taking taylor expansion of im in re
6.637 * [backup-simplify]: Simplify im into im
6.637 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.637 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.637 * [taylor]: Taking taylor expansion of -1 in re
6.637 * [backup-simplify]: Simplify -1 into -1
6.637 * [taylor]: Taking taylor expansion of im in re
6.637 * [backup-simplify]: Simplify im into im
6.637 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.637 * [backup-simplify]: Simplify (* -1 -1) into 1
6.638 * [backup-simplify]: Simplify (+ 1 0) into 1
6.638 * [backup-simplify]: Simplify (sqrt 1) into 1
6.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.641 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.641 * [backup-simplify]: Simplify (+ 0 0) into 0
6.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.642 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.642 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.642 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.642 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.642 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.642 * [taylor]: Taking taylor expansion of -1 in re
6.642 * [backup-simplify]: Simplify -1 into -1
6.642 * [taylor]: Taking taylor expansion of re in re
6.643 * [backup-simplify]: Simplify 0 into 0
6.643 * [backup-simplify]: Simplify 1 into 1
6.643 * [backup-simplify]: Simplify (/ -1 1) into -1
6.643 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.643 * [taylor]: Taking taylor expansion of -1 in re
6.643 * [backup-simplify]: Simplify -1 into -1
6.643 * [taylor]: Taking taylor expansion of re in re
6.643 * [backup-simplify]: Simplify 0 into 0
6.643 * [backup-simplify]: Simplify 1 into 1
6.644 * [backup-simplify]: Simplify (/ -1 1) into -1
6.644 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.644 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.644 * [taylor]: Taking taylor expansion of -1 in re
6.644 * [backup-simplify]: Simplify -1 into -1
6.644 * [taylor]: Taking taylor expansion of im in re
6.644 * [backup-simplify]: Simplify im into im
6.644 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.644 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.644 * [taylor]: Taking taylor expansion of -1 in re
6.644 * [backup-simplify]: Simplify -1 into -1
6.644 * [taylor]: Taking taylor expansion of im in re
6.644 * [backup-simplify]: Simplify im into im
6.644 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.645 * [backup-simplify]: Simplify (* -1 -1) into 1
6.649 * [backup-simplify]: Simplify (+ 1 0) into 1
6.650 * [backup-simplify]: Simplify (sqrt 1) into 1
6.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.653 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.653 * [backup-simplify]: Simplify (+ 0 0) into 0
6.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.654 * [taylor]: Taking taylor expansion of 1 in im
6.654 * [backup-simplify]: Simplify 1 into 1
6.654 * [taylor]: Taking taylor expansion of 0 in im
6.654 * [backup-simplify]: Simplify 0 into 0
6.654 * [backup-simplify]: Simplify 1 into 1
6.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.657 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.657 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.658 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.659 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.659 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.659 * [taylor]: Taking taylor expansion of 1/2 in im
6.659 * [backup-simplify]: Simplify 1/2 into 1/2
6.659 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.659 * [taylor]: Taking taylor expansion of im in im
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify 1 into 1
6.660 * [backup-simplify]: Simplify (* 1 1) into 1
6.660 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.662 * [backup-simplify]: Simplify 0 into 0
6.662 * [backup-simplify]: Simplify 0 into 0
6.662 * [backup-simplify]: Simplify 0 into 0
6.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.665 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.665 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.665 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.665 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.666 * [backup-simplify]: Simplify (+ 0 0) into 0
6.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.667 * [taylor]: Taking taylor expansion of 0 in im
6.667 * [backup-simplify]: Simplify 0 into 0
6.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.669 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
6.669 * [backup-simplify]: Simplify (sqrt (+ re (hypot re im))) into (sqrt (+ re (hypot re im)))
6.669 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0
6.669 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
6.669 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
6.669 * [taylor]: Taking taylor expansion of re in im
6.669 * [backup-simplify]: Simplify re into re
6.669 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.670 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.670 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.670 * [taylor]: Taking taylor expansion of (* re re) in im
6.670 * [taylor]: Taking taylor expansion of re in im
6.670 * [backup-simplify]: Simplify re into re
6.670 * [taylor]: Taking taylor expansion of re in im
6.670 * [backup-simplify]: Simplify re into re
6.670 * [taylor]: Taking taylor expansion of (* im im) in im
6.670 * [taylor]: Taking taylor expansion of im in im
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 1 into 1
6.670 * [taylor]: Taking taylor expansion of im in im
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 1 into 1
6.670 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.670 * [backup-simplify]: Simplify (* 0 0) into 0
6.671 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.671 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.671 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.671 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.672 * [backup-simplify]: Simplify (+ 0 0) into 0
6.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.672 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
6.672 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
6.673 * [backup-simplify]: Simplify (+ 0 0) into 0
6.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.673 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
6.673 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
6.673 * [taylor]: Taking taylor expansion of re in re
6.673 * [backup-simplify]: Simplify 0 into 0
6.673 * [backup-simplify]: Simplify 1 into 1
6.673 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.673 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.673 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.673 * [taylor]: Taking taylor expansion of (* re re) in re
6.673 * [taylor]: Taking taylor expansion of re in re
6.673 * [backup-simplify]: Simplify 0 into 0
6.673 * [backup-simplify]: Simplify 1 into 1
6.673 * [taylor]: Taking taylor expansion of re in re
6.673 * [backup-simplify]: Simplify 0 into 0
6.673 * [backup-simplify]: Simplify 1 into 1
6.673 * [taylor]: Taking taylor expansion of (* im im) in re
6.673 * [taylor]: Taking taylor expansion of im in re
6.673 * [backup-simplify]: Simplify im into im
6.673 * [taylor]: Taking taylor expansion of im in re
6.673 * [backup-simplify]: Simplify im into im
6.674 * [backup-simplify]: Simplify (* 0 0) into 0
6.674 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.674 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.674 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.675 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.675 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.675 * [backup-simplify]: Simplify (+ 0 0) into 0
6.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.676 * [backup-simplify]: Simplify (+ 0 im) into im
6.676 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.676 * [backup-simplify]: Simplify (+ 1 0) into 1
6.676 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.677 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
6.677 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
6.677 * [taylor]: Taking taylor expansion of re in re
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.677 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.677 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.677 * [taylor]: Taking taylor expansion of (* re re) in re
6.677 * [taylor]: Taking taylor expansion of re in re
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [taylor]: Taking taylor expansion of re in re
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [taylor]: Taking taylor expansion of (* im im) in re
6.677 * [taylor]: Taking taylor expansion of im in re
6.677 * [backup-simplify]: Simplify im into im
6.677 * [taylor]: Taking taylor expansion of im in re
6.677 * [backup-simplify]: Simplify im into im
6.678 * [backup-simplify]: Simplify (* 0 0) into 0
6.678 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.678 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.678 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.679 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.679 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.679 * [backup-simplify]: Simplify (+ 0 0) into 0
6.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.679 * [backup-simplify]: Simplify (+ 0 im) into im
6.679 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.680 * [backup-simplify]: Simplify (+ 1 0) into 1
6.680 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.680 * [taylor]: Taking taylor expansion of (sqrt im) in im
6.680 * [taylor]: Taking taylor expansion of im in im
6.680 * [backup-simplify]: Simplify 0 into 0
6.680 * [backup-simplify]: Simplify 1 into 1
6.680 * [backup-simplify]: Simplify (sqrt 0) into 0
6.682 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.682 * [backup-simplify]: Simplify 0 into 0
6.682 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im
6.682 * [taylor]: Taking taylor expansion of 1/2 in im
6.682 * [backup-simplify]: Simplify 1/2 into 1/2
6.682 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
6.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.682 * [taylor]: Taking taylor expansion of im in im
6.682 * [backup-simplify]: Simplify 0 into 0
6.682 * [backup-simplify]: Simplify 1 into 1
6.682 * [backup-simplify]: Simplify (/ 1 1) into 1
6.683 * [backup-simplify]: Simplify (sqrt 0) into 0
6.684 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.686 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
6.686 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.686 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.687 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.688 * [backup-simplify]: Simplify (+ 1 0) into 1
6.688 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.688 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.689 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
6.689 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im
6.689 * [taylor]: Taking taylor expansion of 1/8 in im
6.689 * [backup-simplify]: Simplify 1/8 into 1/8
6.689 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
6.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
6.689 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.689 * [taylor]: Taking taylor expansion of im in im
6.689 * [backup-simplify]: Simplify 0 into 0
6.689 * [backup-simplify]: Simplify 1 into 1
6.690 * [backup-simplify]: Simplify (* 1 1) into 1
6.690 * [backup-simplify]: Simplify (* 1 1) into 1
6.690 * [backup-simplify]: Simplify (/ 1 1) into 1
6.691 * [backup-simplify]: Simplify (sqrt 0) into 0
6.692 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.697 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.699 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
6.699 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.700 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re))))))
6.701 * [backup-simplify]: Simplify (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) into (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))
6.701 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0
6.701 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
6.701 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
6.701 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.701 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.701 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.701 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.701 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.701 * [taylor]: Taking taylor expansion of re in im
6.701 * [backup-simplify]: Simplify re into re
6.701 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.701 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.701 * [taylor]: Taking taylor expansion of re in im
6.701 * [backup-simplify]: Simplify re into re
6.701 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.701 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.701 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.701 * [taylor]: Taking taylor expansion of im in im
6.702 * [backup-simplify]: Simplify 0 into 0
6.702 * [backup-simplify]: Simplify 1 into 1
6.702 * [backup-simplify]: Simplify (/ 1 1) into 1
6.702 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.702 * [taylor]: Taking taylor expansion of im in im
6.702 * [backup-simplify]: Simplify 0 into 0
6.702 * [backup-simplify]: Simplify 1 into 1
6.703 * [backup-simplify]: Simplify (/ 1 1) into 1
6.703 * [backup-simplify]: Simplify (* 1 1) into 1
6.703 * [backup-simplify]: Simplify (+ 0 1) into 1
6.704 * [backup-simplify]: Simplify (sqrt 1) into 1
6.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.706 * [backup-simplify]: Simplify (+ 0 0) into 0
6.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.707 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.707 * [taylor]: Taking taylor expansion of re in im
6.707 * [backup-simplify]: Simplify re into re
6.707 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.707 * [backup-simplify]: Simplify (+ 1 0) into 1
6.708 * [backup-simplify]: Simplify (sqrt 0) into 0
6.709 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.709 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
6.709 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.709 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.709 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.709 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.709 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.709 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.709 * [taylor]: Taking taylor expansion of re in re
6.709 * [backup-simplify]: Simplify 0 into 0
6.710 * [backup-simplify]: Simplify 1 into 1
6.710 * [backup-simplify]: Simplify (/ 1 1) into 1
6.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.710 * [taylor]: Taking taylor expansion of re in re
6.710 * [backup-simplify]: Simplify 0 into 0
6.710 * [backup-simplify]: Simplify 1 into 1
6.710 * [backup-simplify]: Simplify (/ 1 1) into 1
6.710 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.710 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.710 * [taylor]: Taking taylor expansion of im in re
6.710 * [backup-simplify]: Simplify im into im
6.711 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.711 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.711 * [taylor]: Taking taylor expansion of im in re
6.711 * [backup-simplify]: Simplify im into im
6.711 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.711 * [backup-simplify]: Simplify (* 1 1) into 1
6.711 * [backup-simplify]: Simplify (+ 1 0) into 1
6.712 * [backup-simplify]: Simplify (sqrt 1) into 1
6.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.714 * [backup-simplify]: Simplify (+ 0 0) into 0
6.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.715 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.715 * [taylor]: Taking taylor expansion of re in re
6.715 * [backup-simplify]: Simplify 0 into 0
6.715 * [backup-simplify]: Simplify 1 into 1
6.715 * [backup-simplify]: Simplify (/ 1 1) into 1
6.716 * [backup-simplify]: Simplify (+ 1 1) into 2
6.716 * [backup-simplify]: Simplify (sqrt 0) into 0
6.717 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.717 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
6.717 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.717 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.718 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.718 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.718 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.718 * [taylor]: Taking taylor expansion of re in re
6.718 * [backup-simplify]: Simplify 0 into 0
6.718 * [backup-simplify]: Simplify 1 into 1
6.718 * [backup-simplify]: Simplify (/ 1 1) into 1
6.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.718 * [taylor]: Taking taylor expansion of re in re
6.718 * [backup-simplify]: Simplify 0 into 0
6.718 * [backup-simplify]: Simplify 1 into 1
6.719 * [backup-simplify]: Simplify (/ 1 1) into 1
6.719 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.719 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.719 * [taylor]: Taking taylor expansion of im in re
6.719 * [backup-simplify]: Simplify im into im
6.719 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.719 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.719 * [taylor]: Taking taylor expansion of im in re
6.719 * [backup-simplify]: Simplify im into im
6.719 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.719 * [backup-simplify]: Simplify (* 1 1) into 1
6.720 * [backup-simplify]: Simplify (+ 1 0) into 1
6.720 * [backup-simplify]: Simplify (sqrt 1) into 1
6.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.723 * [backup-simplify]: Simplify (+ 0 0) into 0
6.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.723 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.723 * [taylor]: Taking taylor expansion of re in re
6.723 * [backup-simplify]: Simplify 0 into 0
6.723 * [backup-simplify]: Simplify 1 into 1
6.724 * [backup-simplify]: Simplify (/ 1 1) into 1
6.724 * [backup-simplify]: Simplify (+ 1 1) into 2
6.724 * [backup-simplify]: Simplify (sqrt 0) into 0
6.726 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.726 * [taylor]: Taking taylor expansion of 0 in im
6.726 * [backup-simplify]: Simplify 0 into 0
6.726 * [taylor]: Taking taylor expansion of +nan.0 in im
6.726 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.726 * [backup-simplify]: Simplify 0 into 0
6.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.727 * [backup-simplify]: Simplify (+ 0 0) into 0
6.730 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.730 * [taylor]: Taking taylor expansion of +nan.0 in im
6.730 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.730 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.730 * [backup-simplify]: Simplify 0 into 0
6.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.733 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.733 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.735 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.736 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.738 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.738 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
6.738 * [taylor]: Taking taylor expansion of +nan.0 in im
6.738 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.738 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
6.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.738 * [taylor]: Taking taylor expansion of 1/2 in im
6.738 * [backup-simplify]: Simplify 1/2 into 1/2
6.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.738 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.738 * [taylor]: Taking taylor expansion of im in im
6.738 * [backup-simplify]: Simplify 0 into 0
6.738 * [backup-simplify]: Simplify 1 into 1
6.739 * [backup-simplify]: Simplify (* 1 1) into 1
6.739 * [backup-simplify]: Simplify (/ 1 1) into 1
6.739 * [taylor]: Taking taylor expansion of +nan.0 in im
6.739 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.741 * [backup-simplify]: Simplify (+ 0 0) into 0
6.742 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.742 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.743 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
6.743 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.743 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify 0 into 0
6.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.746 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.747 * [backup-simplify]: Simplify (+ 0 0) into 0
6.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.749 * [backup-simplify]: Simplify (+ 0 0) into 0
6.750 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.750 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.750 * [taylor]: Taking taylor expansion of +nan.0 in im
6.750 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.750 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.750 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.750 * [taylor]: Taking taylor expansion of +nan.0 in im
6.750 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.750 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.750 * [taylor]: Taking taylor expansion of im in im
6.750 * [backup-simplify]: Simplify 0 into 0
6.750 * [backup-simplify]: Simplify 1 into 1
6.751 * [backup-simplify]: Simplify (* 1 1) into 1
6.751 * [backup-simplify]: Simplify (/ 1 1) into 1
6.751 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.751 * [taylor]: Taking taylor expansion of +nan.0 in im
6.751 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.753 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.754 * [backup-simplify]: Simplify (+ 0 0) into 0
6.754 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.754 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.755 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
6.755 * [backup-simplify]: Simplify 0 into 0
6.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.757 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.757 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.759 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
6.759 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.760 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
6.760 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) into (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))
6.760 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0
6.760 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
6.760 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.760 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.760 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.760 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.760 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.760 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.760 * [taylor]: Taking taylor expansion of -1 in im
6.760 * [backup-simplify]: Simplify -1 into -1
6.760 * [taylor]: Taking taylor expansion of re in im
6.760 * [backup-simplify]: Simplify re into re
6.760 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.760 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.760 * [taylor]: Taking taylor expansion of -1 in im
6.760 * [backup-simplify]: Simplify -1 into -1
6.760 * [taylor]: Taking taylor expansion of re in im
6.760 * [backup-simplify]: Simplify re into re
6.760 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.760 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.760 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.760 * [taylor]: Taking taylor expansion of -1 in im
6.760 * [backup-simplify]: Simplify -1 into -1
6.760 * [taylor]: Taking taylor expansion of im in im
6.760 * [backup-simplify]: Simplify 0 into 0
6.760 * [backup-simplify]: Simplify 1 into 1
6.761 * [backup-simplify]: Simplify (/ -1 1) into -1
6.761 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.761 * [taylor]: Taking taylor expansion of -1 in im
6.761 * [backup-simplify]: Simplify -1 into -1
6.761 * [taylor]: Taking taylor expansion of im in im
6.761 * [backup-simplify]: Simplify 0 into 0
6.761 * [backup-simplify]: Simplify 1 into 1
6.761 * [backup-simplify]: Simplify (/ -1 1) into -1
6.761 * [backup-simplify]: Simplify (* -1 -1) into 1
6.761 * [backup-simplify]: Simplify (+ 0 1) into 1
6.762 * [backup-simplify]: Simplify (sqrt 1) into 1
6.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.763 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.763 * [backup-simplify]: Simplify (+ 0 0) into 0
6.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.764 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.764 * [taylor]: Taking taylor expansion of re in im
6.764 * [backup-simplify]: Simplify re into re
6.764 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.764 * [backup-simplify]: Simplify (+ 1 0) into 1
6.764 * [backup-simplify]: Simplify (sqrt 0) into 0
6.765 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.765 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
6.765 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.765 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.765 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.765 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.765 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.765 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.765 * [taylor]: Taking taylor expansion of -1 in re
6.765 * [backup-simplify]: Simplify -1 into -1
6.765 * [taylor]: Taking taylor expansion of re in re
6.765 * [backup-simplify]: Simplify 0 into 0
6.765 * [backup-simplify]: Simplify 1 into 1
6.766 * [backup-simplify]: Simplify (/ -1 1) into -1
6.766 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.766 * [taylor]: Taking taylor expansion of -1 in re
6.766 * [backup-simplify]: Simplify -1 into -1
6.766 * [taylor]: Taking taylor expansion of re in re
6.766 * [backup-simplify]: Simplify 0 into 0
6.766 * [backup-simplify]: Simplify 1 into 1
6.766 * [backup-simplify]: Simplify (/ -1 1) into -1
6.766 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.766 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.766 * [taylor]: Taking taylor expansion of -1 in re
6.766 * [backup-simplify]: Simplify -1 into -1
6.766 * [taylor]: Taking taylor expansion of im in re
6.766 * [backup-simplify]: Simplify im into im
6.766 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.766 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.766 * [taylor]: Taking taylor expansion of -1 in re
6.766 * [backup-simplify]: Simplify -1 into -1
6.766 * [taylor]: Taking taylor expansion of im in re
6.766 * [backup-simplify]: Simplify im into im
6.766 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.767 * [backup-simplify]: Simplify (* -1 -1) into 1
6.767 * [backup-simplify]: Simplify (+ 1 0) into 1
6.767 * [backup-simplify]: Simplify (sqrt 1) into 1
6.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.768 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.769 * [backup-simplify]: Simplify (+ 0 0) into 0
6.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.769 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.769 * [taylor]: Taking taylor expansion of re in re
6.769 * [backup-simplify]: Simplify 0 into 0
6.769 * [backup-simplify]: Simplify 1 into 1
6.769 * [backup-simplify]: Simplify (/ 1 1) into 1
6.770 * [backup-simplify]: Simplify (- 1) into -1
6.770 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.770 * [backup-simplify]: Simplify (- 0) into 0
6.771 * [backup-simplify]: Simplify (+ 0 0) into 0
6.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.772 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.772 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.773 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.774 * [backup-simplify]: Simplify (- 0) into 0
6.774 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.774 * [backup-simplify]: Simplify (sqrt 0) into 0
6.775 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.775 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
6.775 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.775 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.775 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.775 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.775 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.775 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.775 * [taylor]: Taking taylor expansion of -1 in re
6.775 * [backup-simplify]: Simplify -1 into -1
6.775 * [taylor]: Taking taylor expansion of re in re
6.775 * [backup-simplify]: Simplify 0 into 0
6.775 * [backup-simplify]: Simplify 1 into 1
6.775 * [backup-simplify]: Simplify (/ -1 1) into -1
6.775 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.775 * [taylor]: Taking taylor expansion of -1 in re
6.775 * [backup-simplify]: Simplify -1 into -1
6.775 * [taylor]: Taking taylor expansion of re in re
6.775 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify 1 into 1
6.776 * [backup-simplify]: Simplify (/ -1 1) into -1
6.776 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.776 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.776 * [taylor]: Taking taylor expansion of -1 in re
6.776 * [backup-simplify]: Simplify -1 into -1
6.776 * [taylor]: Taking taylor expansion of im in re
6.776 * [backup-simplify]: Simplify im into im
6.776 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.776 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.776 * [taylor]: Taking taylor expansion of -1 in re
6.776 * [backup-simplify]: Simplify -1 into -1
6.776 * [taylor]: Taking taylor expansion of im in re
6.776 * [backup-simplify]: Simplify im into im
6.776 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.776 * [backup-simplify]: Simplify (* -1 -1) into 1
6.777 * [backup-simplify]: Simplify (+ 1 0) into 1
6.777 * [backup-simplify]: Simplify (sqrt 1) into 1
6.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.778 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.778 * [backup-simplify]: Simplify (+ 0 0) into 0
6.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.779 * [taylor]: Taking taylor expansion of re in re
6.779 * [backup-simplify]: Simplify 0 into 0
6.779 * [backup-simplify]: Simplify 1 into 1
6.779 * [backup-simplify]: Simplify (/ 1 1) into 1
6.779 * [backup-simplify]: Simplify (- 1) into -1
6.780 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.784 * [backup-simplify]: Simplify (- 0) into 0
6.785 * [backup-simplify]: Simplify (+ 0 0) into 0
6.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.789 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.789 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.789 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.791 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.793 * [backup-simplify]: Simplify (- 0) into 0
6.793 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.793 * [backup-simplify]: Simplify (sqrt 0) into 0
6.794 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.794 * [taylor]: Taking taylor expansion of 0 in im
6.794 * [backup-simplify]: Simplify 0 into 0
6.794 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im
6.794 * [taylor]: Taking taylor expansion of +nan.0 in im
6.794 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.794 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.795 * [taylor]: Taking taylor expansion of im in im
6.795 * [backup-simplify]: Simplify 0 into 0
6.795 * [backup-simplify]: Simplify 1 into 1
6.795 * [backup-simplify]: Simplify (* 1 1) into 1
6.796 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
6.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
6.797 * [backup-simplify]: Simplify 0 into 0
6.797 * [backup-simplify]: Simplify 0 into 0
6.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.801 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.801 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.801 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.801 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.802 * [backup-simplify]: Simplify (+ 0 0) into 0
6.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.804 * [backup-simplify]: Simplify (- 0) into 0
6.804 * [backup-simplify]: Simplify (+ 0 0) into 0
6.805 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
6.805 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im
6.805 * [taylor]: Taking taylor expansion of +nan.0 in im
6.805 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.805 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.806 * [taylor]: Taking taylor expansion of im in im
6.806 * [backup-simplify]: Simplify 0 into 0
6.806 * [backup-simplify]: Simplify 1 into 1
6.806 * [backup-simplify]: Simplify (* 1 1) into 1
6.806 * [backup-simplify]: Simplify (* 1 1) into 1
6.807 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
6.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
6.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.815 * [backup-simplify]: Simplify 0 into 0
6.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.818 * [backup-simplify]: Simplify 0 into 0
6.818 * [backup-simplify]: Simplify 0 into 0
6.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.822 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
6.822 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
6.822 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
6.823 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
6.823 * [backup-simplify]: Simplify (+ 0 0) into 0
6.825 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
6.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.827 * [backup-simplify]: Simplify (- 0) into 0
6.827 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
6.828 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
6.828 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im
6.828 * [taylor]: Taking taylor expansion of +nan.0 in im
6.828 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.828 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im
6.828 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
6.829 * [taylor]: Taking taylor expansion of 1/8 in im
6.829 * [backup-simplify]: Simplify 1/8 into 1/8
6.829 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
6.829 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.829 * [taylor]: Taking taylor expansion of im in im
6.829 * [backup-simplify]: Simplify 0 into 0
6.829 * [backup-simplify]: Simplify 1 into 1
6.829 * [backup-simplify]: Simplify (* 1 1) into 1
6.830 * [backup-simplify]: Simplify (* 1 1) into 1
6.830 * [backup-simplify]: Simplify (/ 1 1) into 1
6.830 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im
6.830 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
6.830 * [taylor]: Taking taylor expansion of +nan.0 in im
6.830 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im
6.830 * [taylor]: Taking taylor expansion of (pow im 6) in im
6.830 * [taylor]: Taking taylor expansion of im in im
6.830 * [backup-simplify]: Simplify 0 into 0
6.830 * [backup-simplify]: Simplify 1 into 1
6.831 * [backup-simplify]: Simplify (* 1 1) into 1
6.831 * [backup-simplify]: Simplify (* 1 1) into 1
6.831 * [backup-simplify]: Simplify (* 1 1) into 1
6.832 * [backup-simplify]: Simplify (/ 1 1) into 1
6.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.840 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.863 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.863 * [backup-simplify]: Simplify (- 0) into 0
6.864 * [backup-simplify]: Simplify (+ 0 0) into 0
6.865 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
6.866 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.866 * [backup-simplify]: Simplify (- 0) into 0
6.867 * [backup-simplify]: Simplify (+ 0 0) into 0
6.867 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
6.868 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.869 * [backup-simplify]: Simplify (- 0) into 0
6.869 * [backup-simplify]: Simplify (+ 0 0) into 0
6.870 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
6.871 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
6.871 * [backup-simplify]: Simplify (- 0) into 0
6.871 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
6.872 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.872 * [backup-simplify]: Simplify (- 0) into 0
6.873 * [backup-simplify]: Simplify (+ 0 0) into 0
6.873 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.874 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.874 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.876 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
6.876 * [backup-simplify]: Simplify 0 into 0
6.876 * [backup-simplify]: Simplify 0 into 0
6.877 * * * [progress]: simplifying candidates
6.879 * [simplify]: Simplifying:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (+ re (hypot re im)) 2.0)
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (+ re (hypot re im)) 2.0)
  (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt 2.0)))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (* (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (+ re (hypot re im)) 2.0)
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (sqrt 1))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) 1)
  (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt 2.0))
  (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (+ re (hypot re im))))
  (log1p (sqrt (+ re (hypot re im))))
  (log (sqrt (+ re (hypot re im))))
  (exp (sqrt (+ re (hypot re im))))
  (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))
  (cbrt (sqrt (+ re (hypot re im))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))
  (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))))
  (sqrt (cbrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt 1)
  (sqrt (+ re (hypot re im)))
  (sqrt 1)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ (pow re 3) (pow (hypot re im) 3)))
  (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))
  (sqrt (- (* re re) (* (hypot re im) (hypot re im))))
  (sqrt (- re (hypot re im)))
  (/ 1 2)
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re))))))
  (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
  0
6.882 * * [simplify]: Extracting # 0 : cost  0
6.882 * * [simplify]: Extracting # 1 : cost  0
6.882 * * [simplify]: Extracting # 2 : cost  0
6.883 * * [simplify]: Extracting # 3 : cost  0
6.883 * * [simplify]: Extracting # 4 : cost  0
6.883 * * [simplify]: Extracting # 5 : cost  0
6.884 * * [simplify]: Extracting # 6 : cost  0
6.884 * * [simplify]: Extracting # 7 : cost  0
6.884 * * [simplify]: Extracting # 8 : cost  0
6.885 * * [simplify]: Extracting # 9 : cost  0
6.885 * * [simplify]: Extracting # 10 : cost  0
6.885 * * [simplify]: Extracting # 11 : cost  0
6.886 * * [simplify]: iteration  0 :  135  enodes  (cost  898 )
6.947 * * [simplify]: Extracting # 0 : cost  0
6.948 * * [simplify]: Extracting # 1 : cost  0
6.948 * * [simplify]: Extracting # 2 : cost  0
6.949 * * [simplify]: Extracting # 3 : cost  0
6.950 * * [simplify]: Extracting # 4 : cost  0
6.950 * * [simplify]: iteration  1 :  298  enodes  (cost  819 )
7.092 * * [simplify]: Extracting # 0 : cost  0
7.094 * * [simplify]: Extracting # 1 : cost  0
7.095 * * [simplify]: Extracting # 2 : cost  0
7.097 * * [simplify]: Extracting # 3 : cost  0
7.098 * * [simplify]: Extracting # 4 : cost  0
7.099 * * [simplify]: iteration  2 :  742  enodes  (cost  778 )
7.838 * * [simplify]: Extracting # 0 : cost  0
7.843 * * [simplify]: Extracting # 1 : cost  0
7.847 * * [simplify]: Extracting # 2 : cost  0
7.850 * * [simplify]: Extracting # 3 : cost  0
7.854 * * [simplify]: Extracting # 4 : cost  0
7.862 * * [simplify]: iteration  3 :  1970  enodes  (cost  766 )
10.704 * * [simplify]: Extracting # 0 : cost  0
10.719 * * [simplify]: Extracting # 1 : cost  0
10.723 * * [simplify]: Extracting # 2 : cost  0
10.727 * * [simplify]: Extracting # 3 : cost  0
10.732 * * [simplify]: Extracting # 4 : cost  0
10.737 * * [simplify]: iteration done:  5000  enodes  (cost  764 )
10.738 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* 2.0 (+ re (hypot re im)))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* 2.0 (+ re (hypot re im)))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3)
  (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3)
  (* 2.0 (+ re (hypot re im)))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (fabs (cbrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (sqrt (+ re (hypot re im)))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (sqrt (+ re (hypot re im)))
  (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt 2.0))
  (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (+ re (hypot re im))))
  (log1p (sqrt (+ re (hypot re im))))
  (log (sqrt (+ re (hypot re im))))
  (exp (sqrt (+ re (hypot re im))))
  (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))
  (cbrt (sqrt (+ re (hypot re im))))
  (pow (sqrt (+ re (hypot re im))) 3)
  (fabs (cbrt (+ re (hypot re im))))
  (sqrt (cbrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  1
  (sqrt (+ re (hypot re im)))
  1
  (sqrt (+ re (hypot re im)))
  (hypot (pow re 3/2) (pow (hypot re im) 3/2))
  (sqrt (fma re re (* (hypot re im) (- (hypot re im) re))))
  (sqrt (- (* re re) (* (hypot re im) (hypot re im))))
  (sqrt (- re (hypot re im)))
  1/2
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (+ re im)
  (* 2 re)
  0
  (* (* +nan.0 (sqrt 2.0)) (- (- im re) (* re re)))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
  0
  im
  re
  (- re)
  (- (* +nan.0 (- (fma re re re) im)))
  (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (* re re)))
  0
10.738 * * * [progress]: adding candidates to table
11.047 * * [progress]: iteration 3 / 4
11.047 * * * [progress]: picking best candidate
11.077 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))>
11.077 * * * [progress]: localizing error
11.090 * * * [progress]: generating rewritten candidates
11.090 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1)
11.096 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
11.159 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
11.244 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2)
11.247 * * * [progress]: generating series expansions
11.247 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1)
11.247 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
11.247 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
11.248 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
11.248 * [taylor]: Taking taylor expansion of re in im
11.248 * [backup-simplify]: Simplify re into re
11.248 * [taylor]: Taking taylor expansion of (hypot re im) in im
11.248 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.248 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
11.248 * [taylor]: Taking taylor expansion of (* re re) in im
11.248 * [taylor]: Taking taylor expansion of re in im
11.248 * [backup-simplify]: Simplify re into re
11.248 * [taylor]: Taking taylor expansion of re in im
11.248 * [backup-simplify]: Simplify re into re
11.248 * [taylor]: Taking taylor expansion of (* im im) in im
11.248 * [taylor]: Taking taylor expansion of im in im
11.248 * [backup-simplify]: Simplify 0 into 0
11.248 * [backup-simplify]: Simplify 1 into 1
11.248 * [taylor]: Taking taylor expansion of im in im
11.248 * [backup-simplify]: Simplify 0 into 0
11.248 * [backup-simplify]: Simplify 1 into 1
11.248 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.249 * [backup-simplify]: Simplify (* 0 0) into 0
11.249 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.249 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.249 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.249 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.250 * [backup-simplify]: Simplify (+ 0 0) into 0
11.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.250 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.250 * [taylor]: Taking taylor expansion of re in re
11.250 * [backup-simplify]: Simplify 0 into 0
11.250 * [backup-simplify]: Simplify 1 into 1
11.250 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.250 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.250 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.250 * [taylor]: Taking taylor expansion of (* re re) in re
11.250 * [taylor]: Taking taylor expansion of re in re
11.250 * [backup-simplify]: Simplify 0 into 0
11.250 * [backup-simplify]: Simplify 1 into 1
11.250 * [taylor]: Taking taylor expansion of re in re
11.250 * [backup-simplify]: Simplify 0 into 0
11.250 * [backup-simplify]: Simplify 1 into 1
11.250 * [taylor]: Taking taylor expansion of (* im im) in re
11.250 * [taylor]: Taking taylor expansion of im in re
11.250 * [backup-simplify]: Simplify im into im
11.250 * [taylor]: Taking taylor expansion of im in re
11.250 * [backup-simplify]: Simplify im into im
11.250 * [backup-simplify]: Simplify (* 0 0) into 0
11.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.250 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.251 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.251 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.251 * [backup-simplify]: Simplify (+ 0 0) into 0
11.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.251 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.251 * [taylor]: Taking taylor expansion of re in re
11.251 * [backup-simplify]: Simplify 0 into 0
11.252 * [backup-simplify]: Simplify 1 into 1
11.252 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.252 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.252 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.252 * [taylor]: Taking taylor expansion of (* re re) in re
11.252 * [taylor]: Taking taylor expansion of re in re
11.252 * [backup-simplify]: Simplify 0 into 0
11.252 * [backup-simplify]: Simplify 1 into 1
11.252 * [taylor]: Taking taylor expansion of re in re
11.252 * [backup-simplify]: Simplify 0 into 0
11.252 * [backup-simplify]: Simplify 1 into 1
11.252 * [taylor]: Taking taylor expansion of (* im im) in re
11.252 * [taylor]: Taking taylor expansion of im in re
11.252 * [backup-simplify]: Simplify im into im
11.252 * [taylor]: Taking taylor expansion of im in re
11.252 * [backup-simplify]: Simplify im into im
11.252 * [backup-simplify]: Simplify (* 0 0) into 0
11.252 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.252 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.252 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.253 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.253 * [backup-simplify]: Simplify (+ 0 0) into 0
11.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.253 * [backup-simplify]: Simplify (+ 0 im) into im
11.253 * [taylor]: Taking taylor expansion of im in im
11.253 * [backup-simplify]: Simplify 0 into 0
11.253 * [backup-simplify]: Simplify 1 into 1
11.253 * [backup-simplify]: Simplify 0 into 0
11.254 * [backup-simplify]: Simplify (+ 1 0) into 1
11.254 * [taylor]: Taking taylor expansion of 1 in im
11.254 * [backup-simplify]: Simplify 1 into 1
11.254 * [backup-simplify]: Simplify 1 into 1
11.254 * [backup-simplify]: Simplify 1 into 1
11.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.254 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.255 * [backup-simplify]: Simplify (+ 1 0) into 1
11.255 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.255 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
11.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
11.255 * [taylor]: Taking taylor expansion of 1/2 in im
11.255 * [backup-simplify]: Simplify 1/2 into 1/2
11.255 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.255 * [taylor]: Taking taylor expansion of im in im
11.255 * [backup-simplify]: Simplify 0 into 0
11.255 * [backup-simplify]: Simplify 1 into 1
11.256 * [backup-simplify]: Simplify (/ 1 1) into 1
11.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.256 * [backup-simplify]: Simplify 0 into 0
11.256 * [backup-simplify]: Simplify 0 into 0
11.257 * [backup-simplify]: Simplify 0 into 0
11.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
11.258 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.258 * [backup-simplify]: Simplify (+ 0 0) into 0
11.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.258 * [backup-simplify]: Simplify (+ 0 0) into 0
11.258 * [taylor]: Taking taylor expansion of 0 in im
11.258 * [backup-simplify]: Simplify 0 into 0
11.258 * [backup-simplify]: Simplify 0 into 0
11.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.259 * [backup-simplify]: Simplify 0 into 0
11.259 * [backup-simplify]: Simplify 0 into 0
11.259 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
11.260 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
11.260 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
11.260 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
11.260 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
11.260 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.260 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
11.260 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
11.260 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.260 * [taylor]: Taking taylor expansion of re in im
11.260 * [backup-simplify]: Simplify re into re
11.260 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.260 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.260 * [taylor]: Taking taylor expansion of re in im
11.260 * [backup-simplify]: Simplify re into re
11.260 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.260 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
11.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.260 * [taylor]: Taking taylor expansion of im in im
11.260 * [backup-simplify]: Simplify 0 into 0
11.260 * [backup-simplify]: Simplify 1 into 1
11.260 * [backup-simplify]: Simplify (/ 1 1) into 1
11.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.260 * [taylor]: Taking taylor expansion of im in im
11.260 * [backup-simplify]: Simplify 0 into 0
11.260 * [backup-simplify]: Simplify 1 into 1
11.261 * [backup-simplify]: Simplify (/ 1 1) into 1
11.261 * [backup-simplify]: Simplify (* 1 1) into 1
11.261 * [backup-simplify]: Simplify (+ 0 1) into 1
11.261 * [backup-simplify]: Simplify (sqrt 1) into 1
11.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.263 * [backup-simplify]: Simplify (+ 0 0) into 0
11.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.263 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.263 * [taylor]: Taking taylor expansion of re in im
11.263 * [backup-simplify]: Simplify re into re
11.264 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.264 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
11.264 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.264 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.264 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.264 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.264 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.264 * [taylor]: Taking taylor expansion of re in re
11.264 * [backup-simplify]: Simplify 0 into 0
11.264 * [backup-simplify]: Simplify 1 into 1
11.264 * [backup-simplify]: Simplify (/ 1 1) into 1
11.264 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.264 * [taylor]: Taking taylor expansion of re in re
11.264 * [backup-simplify]: Simplify 0 into 0
11.264 * [backup-simplify]: Simplify 1 into 1
11.264 * [backup-simplify]: Simplify (/ 1 1) into 1
11.264 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.264 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.264 * [taylor]: Taking taylor expansion of im in re
11.264 * [backup-simplify]: Simplify im into im
11.264 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.265 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.265 * [taylor]: Taking taylor expansion of im in re
11.265 * [backup-simplify]: Simplify im into im
11.265 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.265 * [backup-simplify]: Simplify (* 1 1) into 1
11.265 * [backup-simplify]: Simplify (+ 1 0) into 1
11.265 * [backup-simplify]: Simplify (sqrt 1) into 1
11.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.267 * [backup-simplify]: Simplify (+ 0 0) into 0
11.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.268 * [taylor]: Taking taylor expansion of re in re
11.268 * [backup-simplify]: Simplify 0 into 0
11.268 * [backup-simplify]: Simplify 1 into 1
11.268 * [backup-simplify]: Simplify (/ 1 1) into 1
11.268 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
11.268 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.269 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.269 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.269 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.269 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.269 * [taylor]: Taking taylor expansion of re in re
11.269 * [backup-simplify]: Simplify 0 into 0
11.269 * [backup-simplify]: Simplify 1 into 1
11.269 * [backup-simplify]: Simplify (/ 1 1) into 1
11.269 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.269 * [taylor]: Taking taylor expansion of re in re
11.269 * [backup-simplify]: Simplify 0 into 0
11.269 * [backup-simplify]: Simplify 1 into 1
11.270 * [backup-simplify]: Simplify (/ 1 1) into 1
11.270 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.270 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.270 * [taylor]: Taking taylor expansion of im in re
11.270 * [backup-simplify]: Simplify im into im
11.270 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.270 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.270 * [taylor]: Taking taylor expansion of im in re
11.270 * [backup-simplify]: Simplify im into im
11.270 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.270 * [backup-simplify]: Simplify (* 1 1) into 1
11.271 * [backup-simplify]: Simplify (+ 1 0) into 1
11.271 * [backup-simplify]: Simplify (sqrt 1) into 1
11.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.274 * [backup-simplify]: Simplify (+ 0 0) into 0
11.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.275 * [taylor]: Taking taylor expansion of re in re
11.275 * [backup-simplify]: Simplify 0 into 0
11.275 * [backup-simplify]: Simplify 1 into 1
11.275 * [backup-simplify]: Simplify (/ 1 1) into 1
11.275 * [backup-simplify]: Simplify (+ 1 1) into 2
11.276 * [taylor]: Taking taylor expansion of 2 in im
11.276 * [backup-simplify]: Simplify 2 into 2
11.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.277 * [backup-simplify]: Simplify (+ 0 0) into 0
11.277 * [taylor]: Taking taylor expansion of 0 in im
11.277 * [backup-simplify]: Simplify 0 into 0
11.277 * [backup-simplify]: Simplify 2 into 2
11.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.280 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
11.280 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.281 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.282 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.282 * [taylor]: Taking taylor expansion of 1/2 in im
11.283 * [backup-simplify]: Simplify 1/2 into 1/2
11.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.283 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.283 * [taylor]: Taking taylor expansion of im in im
11.283 * [backup-simplify]: Simplify 0 into 0
11.283 * [backup-simplify]: Simplify 1 into 1
11.283 * [backup-simplify]: Simplify (* 1 1) into 1
11.283 * [backup-simplify]: Simplify (/ 1 1) into 1
11.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.286 * [backup-simplify]: Simplify 0 into 0
11.286 * [backup-simplify]: Simplify 0 into 0
11.286 * [backup-simplify]: Simplify 0 into 0
11.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.289 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
11.289 * [backup-simplify]: Simplify (+ 0 0) into 0
11.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.291 * [backup-simplify]: Simplify (+ 0 0) into 0
11.291 * [taylor]: Taking taylor expansion of 0 in im
11.291 * [backup-simplify]: Simplify 0 into 0
11.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 0 into 0
11.295 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
11.295 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
11.295 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
11.295 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
11.295 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
11.295 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.295 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
11.295 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
11.295 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.295 * [taylor]: Taking taylor expansion of -1 in im
11.295 * [backup-simplify]: Simplify -1 into -1
11.295 * [taylor]: Taking taylor expansion of re in im
11.295 * [backup-simplify]: Simplify re into re
11.295 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.295 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.295 * [taylor]: Taking taylor expansion of -1 in im
11.296 * [backup-simplify]: Simplify -1 into -1
11.296 * [taylor]: Taking taylor expansion of re in im
11.296 * [backup-simplify]: Simplify re into re
11.296 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.296 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
11.296 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.296 * [taylor]: Taking taylor expansion of -1 in im
11.296 * [backup-simplify]: Simplify -1 into -1
11.296 * [taylor]: Taking taylor expansion of im in im
11.296 * [backup-simplify]: Simplify 0 into 0
11.296 * [backup-simplify]: Simplify 1 into 1
11.296 * [backup-simplify]: Simplify (/ -1 1) into -1
11.296 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.296 * [taylor]: Taking taylor expansion of -1 in im
11.296 * [backup-simplify]: Simplify -1 into -1
11.296 * [taylor]: Taking taylor expansion of im in im
11.296 * [backup-simplify]: Simplify 0 into 0
11.296 * [backup-simplify]: Simplify 1 into 1
11.297 * [backup-simplify]: Simplify (/ -1 1) into -1
11.297 * [backup-simplify]: Simplify (* -1 -1) into 1
11.298 * [backup-simplify]: Simplify (+ 0 1) into 1
11.298 * [backup-simplify]: Simplify (sqrt 1) into 1
11.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.300 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.301 * [backup-simplify]: Simplify (+ 0 0) into 0
11.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.301 * [taylor]: Taking taylor expansion of re in im
11.302 * [backup-simplify]: Simplify re into re
11.302 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.302 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.302 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.302 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.302 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.302 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.302 * [taylor]: Taking taylor expansion of -1 in re
11.302 * [backup-simplify]: Simplify -1 into -1
11.302 * [taylor]: Taking taylor expansion of re in re
11.302 * [backup-simplify]: Simplify 0 into 0
11.302 * [backup-simplify]: Simplify 1 into 1
11.303 * [backup-simplify]: Simplify (/ -1 1) into -1
11.303 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.303 * [taylor]: Taking taylor expansion of -1 in re
11.303 * [backup-simplify]: Simplify -1 into -1
11.303 * [taylor]: Taking taylor expansion of re in re
11.303 * [backup-simplify]: Simplify 0 into 0
11.303 * [backup-simplify]: Simplify 1 into 1
11.303 * [backup-simplify]: Simplify (/ -1 1) into -1
11.303 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.303 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.303 * [taylor]: Taking taylor expansion of -1 in re
11.303 * [backup-simplify]: Simplify -1 into -1
11.303 * [taylor]: Taking taylor expansion of im in re
11.303 * [backup-simplify]: Simplify im into im
11.303 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.303 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.303 * [taylor]: Taking taylor expansion of -1 in re
11.303 * [backup-simplify]: Simplify -1 into -1
11.303 * [taylor]: Taking taylor expansion of im in re
11.304 * [backup-simplify]: Simplify im into im
11.304 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.304 * [backup-simplify]: Simplify (* -1 -1) into 1
11.304 * [backup-simplify]: Simplify (+ 1 0) into 1
11.305 * [backup-simplify]: Simplify (sqrt 1) into 1
11.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.307 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.307 * [backup-simplify]: Simplify (+ 0 0) into 0
11.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.308 * [taylor]: Taking taylor expansion of re in re
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [backup-simplify]: Simplify 1 into 1
11.309 * [backup-simplify]: Simplify (/ 1 1) into 1
11.309 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.309 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.309 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.309 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.309 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.309 * [taylor]: Taking taylor expansion of -1 in re
11.309 * [backup-simplify]: Simplify -1 into -1
11.309 * [taylor]: Taking taylor expansion of re in re
11.309 * [backup-simplify]: Simplify 0 into 0
11.309 * [backup-simplify]: Simplify 1 into 1
11.310 * [backup-simplify]: Simplify (/ -1 1) into -1
11.310 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.310 * [taylor]: Taking taylor expansion of -1 in re
11.310 * [backup-simplify]: Simplify -1 into -1
11.310 * [taylor]: Taking taylor expansion of re in re
11.310 * [backup-simplify]: Simplify 0 into 0
11.310 * [backup-simplify]: Simplify 1 into 1
11.310 * [backup-simplify]: Simplify (/ -1 1) into -1
11.310 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.310 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.310 * [taylor]: Taking taylor expansion of -1 in re
11.310 * [backup-simplify]: Simplify -1 into -1
11.310 * [taylor]: Taking taylor expansion of im in re
11.310 * [backup-simplify]: Simplify im into im
11.310 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.311 * [taylor]: Taking taylor expansion of -1 in re
11.311 * [backup-simplify]: Simplify -1 into -1
11.311 * [taylor]: Taking taylor expansion of im in re
11.311 * [backup-simplify]: Simplify im into im
11.311 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.311 * [backup-simplify]: Simplify (* -1 -1) into 1
11.311 * [backup-simplify]: Simplify (+ 1 0) into 1
11.312 * [backup-simplify]: Simplify (sqrt 1) into 1
11.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.314 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.314 * [backup-simplify]: Simplify (+ 0 0) into 0
11.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.319 * [taylor]: Taking taylor expansion of re in re
11.319 * [backup-simplify]: Simplify 0 into 0
11.319 * [backup-simplify]: Simplify 1 into 1
11.319 * [backup-simplify]: Simplify (/ 1 1) into 1
11.319 * [backup-simplify]: Simplify (- 1) into -1
11.320 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.320 * [taylor]: Taking taylor expansion of 0 in im
11.320 * [backup-simplify]: Simplify 0 into 0
11.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.320 * [backup-simplify]: Simplify (- 0) into 0
11.321 * [backup-simplify]: Simplify (+ 0 0) into 0
11.321 * [taylor]: Taking taylor expansion of 0 in im
11.321 * [backup-simplify]: Simplify 0 into 0
11.321 * [backup-simplify]: Simplify 0 into 0
11.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.322 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.322 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
11.323 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.323 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.324 * [backup-simplify]: Simplify (- 0) into 0
11.324 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.324 * [taylor]: Taking taylor expansion of 1/2 in im
11.324 * [backup-simplify]: Simplify 1/2 into 1/2
11.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.324 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.324 * [taylor]: Taking taylor expansion of im in im
11.324 * [backup-simplify]: Simplify 0 into 0
11.324 * [backup-simplify]: Simplify 1 into 1
11.325 * [backup-simplify]: Simplify (* 1 1) into 1
11.325 * [backup-simplify]: Simplify (/ 1 1) into 1
11.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.326 * [backup-simplify]: Simplify 0 into 0
11.326 * [backup-simplify]: Simplify 0 into 0
11.326 * [backup-simplify]: Simplify 0 into 0
11.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.328 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.328 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.328 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.328 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
11.328 * [backup-simplify]: Simplify (+ 0 0) into 0
11.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.330 * [backup-simplify]: Simplify (- 0) into 0
11.330 * [backup-simplify]: Simplify (+ 0 0) into 0
11.330 * [taylor]: Taking taylor expansion of 0 in im
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.331 * [backup-simplify]: Simplify 0 into 0
11.332 * [backup-simplify]: Simplify 0 into 0
11.332 * [backup-simplify]: Simplify 0 into 0
11.332 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
11.332 * [backup-simplify]: Simplify (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) into (sqrt (* (+ re (hypot re im)) (sqrt 2.0)))
11.332 * [approximate]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in (re im) around 0
11.332 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in im
11.332 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in im
11.332 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
11.332 * [taylor]: Taking taylor expansion of re in im
11.332 * [backup-simplify]: Simplify re into re
11.332 * [taylor]: Taking taylor expansion of (hypot re im) in im
11.333 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.333 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
11.333 * [taylor]: Taking taylor expansion of (* re re) in im
11.333 * [taylor]: Taking taylor expansion of re in im
11.333 * [backup-simplify]: Simplify re into re
11.333 * [taylor]: Taking taylor expansion of re in im
11.333 * [backup-simplify]: Simplify re into re
11.333 * [taylor]: Taking taylor expansion of (* im im) in im
11.333 * [taylor]: Taking taylor expansion of im in im
11.333 * [backup-simplify]: Simplify 0 into 0
11.333 * [backup-simplify]: Simplify 1 into 1
11.333 * [taylor]: Taking taylor expansion of im in im
11.333 * [backup-simplify]: Simplify 0 into 0
11.333 * [backup-simplify]: Simplify 1 into 1
11.333 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.333 * [backup-simplify]: Simplify (* 0 0) into 0
11.333 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.333 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.333 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.334 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.334 * [backup-simplify]: Simplify (+ 0 0) into 0
11.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.334 * [taylor]: Taking taylor expansion of 2.0 in im
11.334 * [backup-simplify]: Simplify 2.0 into 2.0
11.334 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.335 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
11.335 * [backup-simplify]: Simplify (* (* 2 re) (sqrt 2.0)) into (* 2 (* re (sqrt 2.0)))
11.335 * [backup-simplify]: Simplify (sqrt (* 2 (* re (sqrt 2.0)))) into (* (sqrt (* re (sqrt 2.0))) (sqrt 2))
11.336 * [backup-simplify]: Simplify (+ 0 0) into 0
11.336 * [backup-simplify]: Simplify (+ (* (* 2 re) 0) (* 0 (sqrt 2.0))) into 0
11.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (* re (sqrt 2.0)))))) into 0
11.336 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re
11.337 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re
11.337 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.337 * [taylor]: Taking taylor expansion of re in re
11.337 * [backup-simplify]: Simplify 0 into 0
11.337 * [backup-simplify]: Simplify 1 into 1
11.337 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.337 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.337 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.337 * [taylor]: Taking taylor expansion of (* re re) in re
11.337 * [taylor]: Taking taylor expansion of re in re
11.337 * [backup-simplify]: Simplify 0 into 0
11.337 * [backup-simplify]: Simplify 1 into 1
11.337 * [taylor]: Taking taylor expansion of re in re
11.337 * [backup-simplify]: Simplify 0 into 0
11.337 * [backup-simplify]: Simplify 1 into 1
11.337 * [taylor]: Taking taylor expansion of (* im im) in re
11.337 * [taylor]: Taking taylor expansion of im in re
11.337 * [backup-simplify]: Simplify im into im
11.337 * [taylor]: Taking taylor expansion of im in re
11.337 * [backup-simplify]: Simplify im into im
11.337 * [backup-simplify]: Simplify (* 0 0) into 0
11.337 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.337 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.337 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.338 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.338 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.338 * [backup-simplify]: Simplify (+ 0 0) into 0
11.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.338 * [taylor]: Taking taylor expansion of 2.0 in re
11.338 * [backup-simplify]: Simplify 2.0 into 2.0
11.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.339 * [backup-simplify]: Simplify (+ 0 im) into im
11.339 * [backup-simplify]: Simplify (* im (sqrt 2.0)) into (* (sqrt 2.0) im)
11.340 * [backup-simplify]: Simplify (sqrt (* (sqrt 2.0) im)) into (sqrt (* (sqrt 2.0) im))
11.340 * [backup-simplify]: Simplify (+ 1 0) into 1
11.340 * [backup-simplify]: Simplify (+ (* im 0) (* 1 (sqrt 2.0))) into (sqrt 2.0)
11.341 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/2 (sqrt (/ (sqrt 2.0) im)))
11.341 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re
11.341 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re
11.341 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.341 * [taylor]: Taking taylor expansion of re in re
11.341 * [backup-simplify]: Simplify 0 into 0
11.341 * [backup-simplify]: Simplify 1 into 1
11.341 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.341 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.341 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.341 * [taylor]: Taking taylor expansion of (* re re) in re
11.341 * [taylor]: Taking taylor expansion of re in re
11.341 * [backup-simplify]: Simplify 0 into 0
11.341 * [backup-simplify]: Simplify 1 into 1
11.341 * [taylor]: Taking taylor expansion of re in re
11.341 * [backup-simplify]: Simplify 0 into 0
11.341 * [backup-simplify]: Simplify 1 into 1
11.341 * [taylor]: Taking taylor expansion of (* im im) in re
11.341 * [taylor]: Taking taylor expansion of im in re
11.341 * [backup-simplify]: Simplify im into im
11.341 * [taylor]: Taking taylor expansion of im in re
11.341 * [backup-simplify]: Simplify im into im
11.342 * [backup-simplify]: Simplify (* 0 0) into 0
11.342 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.342 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.342 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.342 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.342 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.343 * [backup-simplify]: Simplify (+ 0 0) into 0
11.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.343 * [taylor]: Taking taylor expansion of 2.0 in re
11.343 * [backup-simplify]: Simplify 2.0 into 2.0
11.343 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.344 * [backup-simplify]: Simplify (+ 0 im) into im
11.344 * [backup-simplify]: Simplify (* im (sqrt 2.0)) into (* (sqrt 2.0) im)
11.344 * [backup-simplify]: Simplify (sqrt (* (sqrt 2.0) im)) into (sqrt (* (sqrt 2.0) im))
11.344 * [backup-simplify]: Simplify (+ 1 0) into 1
11.345 * [backup-simplify]: Simplify (+ (* im 0) (* 1 (sqrt 2.0))) into (sqrt 2.0)
11.346 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/2 (sqrt (/ (sqrt 2.0) im)))
11.346 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im
11.346 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
11.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.346 * [taylor]: Taking taylor expansion of 2.0 in im
11.346 * [backup-simplify]: Simplify 2.0 into 2.0
11.346 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.346 * [taylor]: Taking taylor expansion of im in im
11.346 * [backup-simplify]: Simplify 0 into 0
11.346 * [backup-simplify]: Simplify 1 into 1
11.347 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.348 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
11.348 * [backup-simplify]: Simplify (sqrt 0) into 0
11.349 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
11.349 * [backup-simplify]: Simplify 0 into 0
11.349 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ (sqrt 2.0) im))) in im
11.349 * [taylor]: Taking taylor expansion of 1/2 in im
11.349 * [backup-simplify]: Simplify 1/2 into 1/2
11.349 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im
11.350 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
11.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.350 * [taylor]: Taking taylor expansion of 2.0 in im
11.350 * [backup-simplify]: Simplify 2.0 into 2.0
11.350 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.350 * [taylor]: Taking taylor expansion of im in im
11.350 * [backup-simplify]: Simplify 0 into 0
11.350 * [backup-simplify]: Simplify 1 into 1
11.351 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.351 * [backup-simplify]: Simplify (sqrt 0) into 0
11.352 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
11.354 * [backup-simplify]: Simplify (+ (* 1/2 (* +nan.0 (sqrt 2.0))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
11.355 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.355 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
11.356 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.357 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.357 * [backup-simplify]: Simplify (+ 1 0) into 1
11.358 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.358 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
11.358 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 1 0) (* (* 1/2 (/ 1 im)) (sqrt 2.0)))) into (* 1/2 (/ (sqrt 2.0) im))
11.359 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ (sqrt 2.0) im)) (pow (* 1/2 (sqrt (/ (sqrt 2.0) im))) 2) (+)) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3))))
11.360 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) in im
11.360 * [taylor]: Taking taylor expansion of 1/8 in im
11.360 * [backup-simplify]: Simplify 1/8 into 1/8
11.360 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) (pow im 3))) in im
11.360 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 3)) in im
11.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.360 * [taylor]: Taking taylor expansion of 2.0 in im
11.360 * [backup-simplify]: Simplify 2.0 into 2.0
11.360 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.361 * [taylor]: Taking taylor expansion of (pow im 3) in im
11.361 * [taylor]: Taking taylor expansion of im in im
11.361 * [backup-simplify]: Simplify 0 into 0
11.361 * [backup-simplify]: Simplify 1 into 1
11.361 * [backup-simplify]: Simplify (* 1 1) into 1
11.361 * [backup-simplify]: Simplify (* 1 1) into 1
11.362 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.362 * [backup-simplify]: Simplify (sqrt 0) into 0
11.364 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
11.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.369 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (sqrt 2.0)) 2) (+)) (* 2 0)) into (* +nan.0 (pow (sqrt 2.0) 2))
11.372 * [backup-simplify]: Simplify (+ (* 1/8 (* +nan.0 (pow (sqrt 2.0) 2))) (+ (* 0 (* +nan.0 (sqrt 2.0))) (* 0 0))) into (- (* +nan.0 (pow (sqrt 2.0) 2)))
11.373 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 2))) into (- (* +nan.0 (pow (sqrt 2.0) 2)))
11.377 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 2.0) 2))) (pow (* 1 re) 2)) (+ (* (* +nan.0 (sqrt 2.0)) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
11.377 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt 2.0))) into (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)))
11.377 * [approximate]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in (re im) around 0
11.377 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in im
11.377 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in im
11.377 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
11.377 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
11.377 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.377 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
11.377 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
11.378 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.378 * [taylor]: Taking taylor expansion of re in im
11.378 * [backup-simplify]: Simplify re into re
11.378 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.378 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.378 * [taylor]: Taking taylor expansion of re in im
11.378 * [backup-simplify]: Simplify re into re
11.378 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.378 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
11.378 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.378 * [taylor]: Taking taylor expansion of im in im
11.378 * [backup-simplify]: Simplify 0 into 0
11.378 * [backup-simplify]: Simplify 1 into 1
11.378 * [backup-simplify]: Simplify (/ 1 1) into 1
11.378 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.378 * [taylor]: Taking taylor expansion of im in im
11.378 * [backup-simplify]: Simplify 0 into 0
11.378 * [backup-simplify]: Simplify 1 into 1
11.378 * [backup-simplify]: Simplify (/ 1 1) into 1
11.379 * [backup-simplify]: Simplify (* 1 1) into 1
11.379 * [backup-simplify]: Simplify (+ 0 1) into 1
11.379 * [backup-simplify]: Simplify (sqrt 1) into 1
11.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.380 * [backup-simplify]: Simplify (+ 0 0) into 0
11.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.381 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.381 * [taylor]: Taking taylor expansion of re in im
11.381 * [backup-simplify]: Simplify re into re
11.381 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.381 * [taylor]: Taking taylor expansion of 2.0 in im
11.381 * [backup-simplify]: Simplify 2.0 into 2.0
11.381 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.382 * [backup-simplify]: Simplify (+ 1 0) into 1
11.382 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
11.383 * [backup-simplify]: Simplify (sqrt 0) into 0
11.384 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
11.384 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re
11.384 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re
11.384 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
11.384 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.384 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.384 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.384 * [taylor]: Taking taylor expansion of re in re
11.384 * [backup-simplify]: Simplify 0 into 0
11.384 * [backup-simplify]: Simplify 1 into 1
11.384 * [backup-simplify]: Simplify (/ 1 1) into 1
11.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.384 * [taylor]: Taking taylor expansion of re in re
11.384 * [backup-simplify]: Simplify 0 into 0
11.384 * [backup-simplify]: Simplify 1 into 1
11.385 * [backup-simplify]: Simplify (/ 1 1) into 1
11.385 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.385 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.385 * [taylor]: Taking taylor expansion of im in re
11.385 * [backup-simplify]: Simplify im into im
11.385 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.385 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.385 * [taylor]: Taking taylor expansion of im in re
11.385 * [backup-simplify]: Simplify im into im
11.385 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.385 * [backup-simplify]: Simplify (* 1 1) into 1
11.385 * [backup-simplify]: Simplify (+ 1 0) into 1
11.386 * [backup-simplify]: Simplify (sqrt 1) into 1
11.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.387 * [backup-simplify]: Simplify (+ 0 0) into 0
11.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.387 * [taylor]: Taking taylor expansion of re in re
11.387 * [backup-simplify]: Simplify 0 into 0
11.387 * [backup-simplify]: Simplify 1 into 1
11.388 * [backup-simplify]: Simplify (/ 1 1) into 1
11.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.388 * [taylor]: Taking taylor expansion of 2.0 in re
11.388 * [backup-simplify]: Simplify 2.0 into 2.0
11.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.389 * [backup-simplify]: Simplify (+ 1 1) into 2
11.389 * [backup-simplify]: Simplify (* 2 (sqrt 2.0)) into (* 2 (sqrt 2.0))
11.389 * [backup-simplify]: Simplify (sqrt 0) into 0
11.391 * [backup-simplify]: Simplify (/ (* 2 (sqrt 2.0)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
11.391 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re
11.391 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re
11.391 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
11.391 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.391 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.391 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.391 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.391 * [taylor]: Taking taylor expansion of re in re
11.391 * [backup-simplify]: Simplify 0 into 0
11.391 * [backup-simplify]: Simplify 1 into 1
11.391 * [backup-simplify]: Simplify (/ 1 1) into 1
11.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.391 * [taylor]: Taking taylor expansion of re in re
11.391 * [backup-simplify]: Simplify 0 into 0
11.392 * [backup-simplify]: Simplify 1 into 1
11.392 * [backup-simplify]: Simplify (/ 1 1) into 1
11.392 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.392 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.392 * [taylor]: Taking taylor expansion of im in re
11.392 * [backup-simplify]: Simplify im into im
11.392 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.392 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.392 * [taylor]: Taking taylor expansion of im in re
11.392 * [backup-simplify]: Simplify im into im
11.392 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.392 * [backup-simplify]: Simplify (* 1 1) into 1
11.392 * [backup-simplify]: Simplify (+ 1 0) into 1
11.393 * [backup-simplify]: Simplify (sqrt 1) into 1
11.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.394 * [backup-simplify]: Simplify (+ 0 0) into 0
11.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.395 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.395 * [taylor]: Taking taylor expansion of re in re
11.395 * [backup-simplify]: Simplify 0 into 0
11.395 * [backup-simplify]: Simplify 1 into 1
11.395 * [backup-simplify]: Simplify (/ 1 1) into 1
11.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.395 * [taylor]: Taking taylor expansion of 2.0 in re
11.395 * [backup-simplify]: Simplify 2.0 into 2.0
11.395 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.396 * [backup-simplify]: Simplify (+ 1 1) into 2
11.396 * [backup-simplify]: Simplify (* 2 (sqrt 2.0)) into (* 2 (sqrt 2.0))
11.397 * [backup-simplify]: Simplify (sqrt 0) into 0
11.398 * [backup-simplify]: Simplify (/ (* 2 (sqrt 2.0)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
11.398 * [taylor]: Taking taylor expansion of 0 in im
11.398 * [backup-simplify]: Simplify 0 into 0
11.398 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
11.398 * [taylor]: Taking taylor expansion of +nan.0 in im
11.398 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.398 * [taylor]: Taking taylor expansion of 2.0 in im
11.398 * [backup-simplify]: Simplify 2.0 into 2.0
11.399 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.399 * [backup-simplify]: Simplify 0 into 0
11.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.400 * [backup-simplify]: Simplify (+ 0 0) into 0
11.401 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (sqrt 2.0))) into 0
11.406 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (sqrt 2.0)) 2) (+)) (* 2 0)) into (* +nan.0 (pow (sqrt 2.0) 2))
11.406 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im
11.406 * [taylor]: Taking taylor expansion of +nan.0 in im
11.406 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.406 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im
11.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.406 * [taylor]: Taking taylor expansion of 2.0 in im
11.406 * [backup-simplify]: Simplify 2.0 into 2.0
11.407 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.408 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
11.409 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
11.409 * [backup-simplify]: Simplify 0 into 0
11.410 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.412 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
11.412 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.418 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.419 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.420 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (sqrt 2.0)))) into (* 1/2 (/ (sqrt 2.0) (pow im 2)))
11.424 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (+ (* 2 (* (* +nan.0 (sqrt 2.0)) (* +nan.0 (pow (sqrt 2.0) 2)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))))
11.424 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im
11.424 * [taylor]: Taking taylor expansion of +nan.0 in im
11.424 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.424 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im
11.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im
11.424 * [taylor]: Taking taylor expansion of 1/2 in im
11.424 * [backup-simplify]: Simplify 1/2 into 1/2
11.424 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
11.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.424 * [taylor]: Taking taylor expansion of 2.0 in im
11.424 * [backup-simplify]: Simplify 2.0 into 2.0
11.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.425 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.425 * [taylor]: Taking taylor expansion of im in im
11.425 * [backup-simplify]: Simplify 0 into 0
11.425 * [backup-simplify]: Simplify 1 into 1
11.425 * [backup-simplify]: Simplify (* 1 1) into 1
11.425 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.425 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im
11.425 * [taylor]: Taking taylor expansion of +nan.0 in im
11.426 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.426 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
11.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.426 * [taylor]: Taking taylor expansion of 2.0 in im
11.426 * [backup-simplify]: Simplify 2.0 into 2.0
11.426 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 2.0))) into 0
11.428 * [backup-simplify]: Simplify (+ 0 0) into 0
11.428 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
11.429 * [backup-simplify]: Simplify (+ (* 1/2 (sqrt 2.0)) 0) into (* 1/2 (sqrt 2.0))
11.430 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* 1/2 (sqrt 2.0)))) into 0
11.430 * [backup-simplify]: Simplify 0 into 0
11.431 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
11.432 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2))
11.433 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2))
11.433 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
11.433 * [backup-simplify]: Simplify 0 into 0
11.433 * [backup-simplify]: Simplify 0 into 0
11.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.436 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
11.436 * [backup-simplify]: Simplify (+ 0 0) into 0
11.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.437 * [backup-simplify]: Simplify (+ 0 0) into 0
11.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* (* 1/2 (/ 1 (pow im 2))) 0) (* 0 (sqrt 2.0))))) into 0
11.442 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (pow (sqrt 2.0) 2)) 2) (+ (* 2 (* (* +nan.0 (sqrt 2.0)) (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))))
11.442 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) in im
11.442 * [taylor]: Taking taylor expansion of +nan.0 in im
11.442 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.442 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im
11.442 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im
11.442 * [taylor]: Taking taylor expansion of +nan.0 in im
11.442 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.442 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im
11.442 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im
11.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.442 * [taylor]: Taking taylor expansion of 2.0 in im
11.442 * [backup-simplify]: Simplify 2.0 into 2.0
11.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.443 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.443 * [taylor]: Taking taylor expansion of im in im
11.443 * [backup-simplify]: Simplify 0 into 0
11.443 * [backup-simplify]: Simplify 1 into 1
11.444 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
11.444 * [backup-simplify]: Simplify (* 1 1) into 1
11.445 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 2) 1) into (pow (sqrt 2.0) 2)
11.445 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im
11.445 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im
11.445 * [taylor]: Taking taylor expansion of +nan.0 in im
11.445 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.445 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im
11.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.445 * [taylor]: Taking taylor expansion of 2.0 in im
11.445 * [backup-simplify]: Simplify 2.0 into 2.0
11.446 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.446 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
11.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)))) into 0
11.449 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt 2.0) 2))) into 0
11.449 * [backup-simplify]: Simplify (+ 0 0) into 0
11.451 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2))
11.454 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (sqrt 2.0) 2)) 0) into (- (* +nan.0 (pow (sqrt 2.0) 2)))
11.455 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- (* +nan.0 (pow (sqrt 2.0) 2))))) into 0
11.455 * [backup-simplify]: Simplify 0 into 0
11.456 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
11.461 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
11.463 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
11.464 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3))
11.467 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
11.471 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
11.477 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) (+ (* 0 0) (* 0 (* 1/2 (sqrt 2.0))))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
11.480 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
11.486 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (pow (* 1 (/ 1 re)) 2)) (+ (* (* +nan.0 (pow (sqrt 2.0) 2)) (* 1 (/ 1 re))) (* +nan.0 (sqrt 2.0)))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0)))))))
11.487 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt 2.0))) into (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
11.488 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
11.488 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
11.488 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
11.488 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.488 * [taylor]: Taking taylor expansion of 2.0 in im
11.488 * [backup-simplify]: Simplify 2.0 into 2.0
11.488 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.489 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
11.489 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
11.489 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.489 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
11.489 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
11.489 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.489 * [taylor]: Taking taylor expansion of -1 in im
11.489 * [backup-simplify]: Simplify -1 into -1
11.489 * [taylor]: Taking taylor expansion of re in im
11.489 * [backup-simplify]: Simplify re into re
11.489 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.489 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.489 * [taylor]: Taking taylor expansion of -1 in im
11.490 * [backup-simplify]: Simplify -1 into -1
11.490 * [taylor]: Taking taylor expansion of re in im
11.490 * [backup-simplify]: Simplify re into re
11.490 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.490 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
11.490 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.490 * [taylor]: Taking taylor expansion of -1 in im
11.490 * [backup-simplify]: Simplify -1 into -1
11.490 * [taylor]: Taking taylor expansion of im in im
11.490 * [backup-simplify]: Simplify 0 into 0
11.490 * [backup-simplify]: Simplify 1 into 1
11.490 * [backup-simplify]: Simplify (/ -1 1) into -1
11.490 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.490 * [taylor]: Taking taylor expansion of -1 in im
11.490 * [backup-simplify]: Simplify -1 into -1
11.490 * [taylor]: Taking taylor expansion of im in im
11.490 * [backup-simplify]: Simplify 0 into 0
11.490 * [backup-simplify]: Simplify 1 into 1
11.491 * [backup-simplify]: Simplify (/ -1 1) into -1
11.491 * [backup-simplify]: Simplify (* -1 -1) into 1
11.492 * [backup-simplify]: Simplify (+ 0 1) into 1
11.492 * [backup-simplify]: Simplify (sqrt 1) into 1
11.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.495 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.495 * [backup-simplify]: Simplify (+ 0 0) into 0
11.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.496 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.496 * [taylor]: Taking taylor expansion of re in im
11.496 * [backup-simplify]: Simplify re into re
11.496 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.496 * [backup-simplify]: Simplify (+ 1 0) into 1
11.497 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
11.498 * [backup-simplify]: Simplify (sqrt 0) into 0
11.500 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
11.500 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
11.500 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
11.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.500 * [taylor]: Taking taylor expansion of 2.0 in re
11.500 * [backup-simplify]: Simplify 2.0 into 2.0
11.500 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.501 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.501 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.501 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.501 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.501 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.501 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.501 * [taylor]: Taking taylor expansion of -1 in re
11.501 * [backup-simplify]: Simplify -1 into -1
11.502 * [taylor]: Taking taylor expansion of re in re
11.502 * [backup-simplify]: Simplify 0 into 0
11.502 * [backup-simplify]: Simplify 1 into 1
11.502 * [backup-simplify]: Simplify (/ -1 1) into -1
11.502 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.502 * [taylor]: Taking taylor expansion of -1 in re
11.502 * [backup-simplify]: Simplify -1 into -1
11.502 * [taylor]: Taking taylor expansion of re in re
11.502 * [backup-simplify]: Simplify 0 into 0
11.502 * [backup-simplify]: Simplify 1 into 1
11.503 * [backup-simplify]: Simplify (/ -1 1) into -1
11.503 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.503 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.503 * [taylor]: Taking taylor expansion of -1 in re
11.503 * [backup-simplify]: Simplify -1 into -1
11.503 * [taylor]: Taking taylor expansion of im in re
11.503 * [backup-simplify]: Simplify im into im
11.503 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.503 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.503 * [taylor]: Taking taylor expansion of -1 in re
11.503 * [backup-simplify]: Simplify -1 into -1
11.503 * [taylor]: Taking taylor expansion of im in re
11.503 * [backup-simplify]: Simplify im into im
11.503 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.504 * [backup-simplify]: Simplify (* -1 -1) into 1
11.504 * [backup-simplify]: Simplify (+ 1 0) into 1
11.504 * [backup-simplify]: Simplify (sqrt 1) into 1
11.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.507 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.507 * [backup-simplify]: Simplify (+ 0 0) into 0
11.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.507 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.508 * [taylor]: Taking taylor expansion of re in re
11.508 * [backup-simplify]: Simplify 0 into 0
11.508 * [backup-simplify]: Simplify 1 into 1
11.508 * [backup-simplify]: Simplify (/ 1 1) into 1
11.508 * [backup-simplify]: Simplify (- 1) into -1
11.508 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.509 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.509 * [backup-simplify]: Simplify (- 0) into 0
11.509 * [backup-simplify]: Simplify (+ 0 0) into 0
11.510 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 0)) into 0
11.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.511 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.512 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
11.512 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.513 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.513 * [backup-simplify]: Simplify (- 0) into 0
11.513 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.515 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1/2 (/ (sqrt 2.0) (pow im 2)))
11.515 * [backup-simplify]: Simplify (sqrt 0) into 0
11.516 * [backup-simplify]: Simplify (/ (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* 2 (sqrt 0))) into (* +nan.0 (/ (sqrt 2.0) (pow im 2)))
11.516 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
11.516 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
11.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.516 * [taylor]: Taking taylor expansion of 2.0 in re
11.516 * [backup-simplify]: Simplify 2.0 into 2.0
11.516 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.516 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.517 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.517 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.517 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.517 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.517 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.517 * [taylor]: Taking taylor expansion of -1 in re
11.517 * [backup-simplify]: Simplify -1 into -1
11.517 * [taylor]: Taking taylor expansion of re in re
11.517 * [backup-simplify]: Simplify 0 into 0
11.517 * [backup-simplify]: Simplify 1 into 1
11.517 * [backup-simplify]: Simplify (/ -1 1) into -1
11.517 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.517 * [taylor]: Taking taylor expansion of -1 in re
11.517 * [backup-simplify]: Simplify -1 into -1
11.517 * [taylor]: Taking taylor expansion of re in re
11.517 * [backup-simplify]: Simplify 0 into 0
11.517 * [backup-simplify]: Simplify 1 into 1
11.517 * [backup-simplify]: Simplify (/ -1 1) into -1
11.517 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.517 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.517 * [taylor]: Taking taylor expansion of -1 in re
11.517 * [backup-simplify]: Simplify -1 into -1
11.517 * [taylor]: Taking taylor expansion of im in re
11.518 * [backup-simplify]: Simplify im into im
11.518 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.518 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.518 * [taylor]: Taking taylor expansion of -1 in re
11.518 * [backup-simplify]: Simplify -1 into -1
11.518 * [taylor]: Taking taylor expansion of im in re
11.518 * [backup-simplify]: Simplify im into im
11.518 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.518 * [backup-simplify]: Simplify (* -1 -1) into 1
11.518 * [backup-simplify]: Simplify (+ 1 0) into 1
11.518 * [backup-simplify]: Simplify (sqrt 1) into 1
11.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.520 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.520 * [backup-simplify]: Simplify (+ 0 0) into 0
11.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.520 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.520 * [taylor]: Taking taylor expansion of re in re
11.520 * [backup-simplify]: Simplify 0 into 0
11.520 * [backup-simplify]: Simplify 1 into 1
11.521 * [backup-simplify]: Simplify (/ 1 1) into 1
11.521 * [backup-simplify]: Simplify (- 1) into -1
11.521 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.521 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.522 * [backup-simplify]: Simplify (- 0) into 0
11.522 * [backup-simplify]: Simplify (+ 0 0) into 0
11.523 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 0)) into 0
11.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.524 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.524 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
11.525 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.525 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.526 * [backup-simplify]: Simplify (- 0) into 0
11.526 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.527 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.534 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1/2 (/ (sqrt 2.0) (pow im 2)))
11.534 * [backup-simplify]: Simplify (sqrt 0) into 0
11.535 * [backup-simplify]: Simplify (/ (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* 2 (sqrt 0))) into (* +nan.0 (/ (sqrt 2.0) (pow im 2)))
11.535 * [taylor]: Taking taylor expansion of 0 in im
11.535 * [backup-simplify]: Simplify 0 into 0
11.535 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
11.535 * [taylor]: Taking taylor expansion of +nan.0 in im
11.535 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.535 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
11.535 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.536 * [taylor]: Taking taylor expansion of 2.0 in im
11.536 * [backup-simplify]: Simplify 2.0 into 2.0
11.536 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.536 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.536 * [taylor]: Taking taylor expansion of im in im
11.536 * [backup-simplify]: Simplify 0 into 0
11.536 * [backup-simplify]: Simplify 1 into 1
11.537 * [backup-simplify]: Simplify (* 1 1) into 1
11.537 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.539 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
11.539 * [backup-simplify]: Simplify 0 into 0
11.539 * [backup-simplify]: Simplify 0 into 0
11.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.542 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.542 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.542 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.542 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
11.542 * [backup-simplify]: Simplify (+ 0 0) into 0
11.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.545 * [backup-simplify]: Simplify (- 0) into 0
11.545 * [backup-simplify]: Simplify (+ 0 0) into 0
11.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.548 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0
11.549 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4)))
11.549 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im
11.549 * [taylor]: Taking taylor expansion of +nan.0 in im
11.549 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.549 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im
11.550 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im
11.550 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.550 * [taylor]: Taking taylor expansion of 2.0 in im
11.550 * [backup-simplify]: Simplify 2.0 into 2.0
11.550 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.551 * [taylor]: Taking taylor expansion of (pow im 4) in im
11.551 * [taylor]: Taking taylor expansion of im in im
11.551 * [backup-simplify]: Simplify 0 into 0
11.551 * [backup-simplify]: Simplify 1 into 1
11.552 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
11.553 * [backup-simplify]: Simplify (* 1 1) into 1
11.553 * [backup-simplify]: Simplify (* 1 1) into 1
11.555 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 2) 1) into (pow (sqrt 2.0) 2)
11.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.559 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
11.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.565 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
11.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)))) into 0
11.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.569 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
11.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.574 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0
11.574 * [backup-simplify]: Simplify 0 into 0
11.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.578 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
11.579 * [backup-simplify]: Simplify 0 into 0
11.579 * [backup-simplify]: Simplify 0 into 0
11.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.582 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
11.582 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
11.582 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
11.583 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
11.583 * [backup-simplify]: Simplify (+ 0 0) into 0
11.585 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
11.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.586 * [backup-simplify]: Simplify (- 0) into 0
11.586 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
11.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.590 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (- (* 1/8 (/ 1 (pow im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))))) into (- (* 1/8 (/ (sqrt 2.0) (pow im 4))))
11.593 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ (sqrt 2.0) (pow im 4)))) (+ (* 2 (* (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))))
11.593 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) in im
11.593 * [taylor]: Taking taylor expansion of +nan.0 in im
11.593 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.593 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))) in im
11.593 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im
11.593 * [taylor]: Taking taylor expansion of 1/8 in im
11.593 * [backup-simplify]: Simplify 1/8 into 1/8
11.593 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
11.593 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.593 * [taylor]: Taking taylor expansion of 2.0 in im
11.593 * [backup-simplify]: Simplify 2.0 into 2.0
11.594 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.595 * [taylor]: Taking taylor expansion of (pow im 4) in im
11.595 * [taylor]: Taking taylor expansion of im in im
11.595 * [backup-simplify]: Simplify 0 into 0
11.595 * [backup-simplify]: Simplify 1 into 1
11.595 * [backup-simplify]: Simplify (* 1 1) into 1
11.595 * [backup-simplify]: Simplify (* 1 1) into 1
11.597 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.597 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im
11.597 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im
11.597 * [taylor]: Taking taylor expansion of +nan.0 in im
11.597 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.597 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im
11.597 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
11.597 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.597 * [taylor]: Taking taylor expansion of 2.0 in im
11.597 * [backup-simplify]: Simplify 2.0 into 2.0
11.598 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.599 * [taylor]: Taking taylor expansion of (pow im 6) in im
11.599 * [taylor]: Taking taylor expansion of im in im
11.599 * [backup-simplify]: Simplify 0 into 0
11.599 * [backup-simplify]: Simplify 1 into 1
11.600 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
11.602 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
11.602 * [backup-simplify]: Simplify (* 1 1) into 1
11.603 * [backup-simplify]: Simplify (* 1 1) into 1
11.603 * [backup-simplify]: Simplify (* 1 1) into 1
11.605 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3)
11.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.618 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
11.619 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.622 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.626 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
11.627 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
11.628 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
11.630 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
11.630 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
11.632 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0
11.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.645 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
11.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0
11.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.650 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0
11.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.655 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0
11.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.659 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0
11.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.664 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))))) into 0
11.664 * [backup-simplify]: Simplify (- 0) into 0
11.664 * [backup-simplify]: Simplify (+ 0 0) into 0
11.666 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
11.668 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))) into 0
11.668 * [backup-simplify]: Simplify (- 0) into 0
11.668 * [backup-simplify]: Simplify (+ 0 0) into 0
11.669 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (sqrt 2.0))) into 0
11.671 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))) into 0
11.671 * [backup-simplify]: Simplify (- 0) into 0
11.672 * [backup-simplify]: Simplify (+ 0 0) into 0
11.672 * [backup-simplify]: Simplify (* 1/8 (sqrt 2.0)) into (* 1/8 (sqrt 2.0))
11.674 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))) into 0
11.674 * [backup-simplify]: Simplify (- 0) into 0
11.676 * [backup-simplify]: Simplify (+ (* 1/8 (sqrt 2.0)) 0) into (* 1/8 (sqrt 2.0))
11.677 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt 2.0) 3))) into 0
11.677 * [backup-simplify]: Simplify (- 0) into 0
11.678 * [backup-simplify]: Simplify (+ 0 0) into 0
11.679 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3))
11.682 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
11.693 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
11.697 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/8 (sqrt 2.0))) (+ (* 0 0) (* 0 (- (* +nan.0 (pow (sqrt 2.0) 3))))))))) into 0
11.697 * [backup-simplify]: Simplify 0 into 0
11.697 * [backup-simplify]: Simplify 0 into 0
11.697 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
11.699 * [backup-simplify]: Simplify (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
11.699 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
11.699 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
11.699 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
11.699 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
11.699 * [taylor]: Taking taylor expansion of re in im
11.699 * [backup-simplify]: Simplify re into re
11.699 * [taylor]: Taking taylor expansion of (hypot re im) in im
11.699 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.699 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
11.699 * [taylor]: Taking taylor expansion of (* re re) in im
11.699 * [taylor]: Taking taylor expansion of re in im
11.699 * [backup-simplify]: Simplify re into re
11.699 * [taylor]: Taking taylor expansion of re in im
11.699 * [backup-simplify]: Simplify re into re
11.700 * [taylor]: Taking taylor expansion of (* im im) in im
11.700 * [taylor]: Taking taylor expansion of im in im
11.700 * [backup-simplify]: Simplify 0 into 0
11.700 * [backup-simplify]: Simplify 1 into 1
11.700 * [taylor]: Taking taylor expansion of im in im
11.700 * [backup-simplify]: Simplify 0 into 0
11.700 * [backup-simplify]: Simplify 1 into 1
11.700 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.700 * [backup-simplify]: Simplify (* 0 0) into 0
11.700 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.700 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.701 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.701 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.702 * [backup-simplify]: Simplify (+ 0 0) into 0
11.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.702 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
11.702 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
11.702 * [backup-simplify]: Simplify (+ 0 0) into 0
11.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
11.702 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.703 * [taylor]: Taking taylor expansion of 2.0 in im
11.703 * [backup-simplify]: Simplify 2.0 into 2.0
11.703 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.704 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
11.704 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
11.704 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.704 * [taylor]: Taking taylor expansion of re in re
11.704 * [backup-simplify]: Simplify 0 into 0
11.704 * [backup-simplify]: Simplify 1 into 1
11.704 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.704 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.704 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.704 * [taylor]: Taking taylor expansion of (* re re) in re
11.704 * [taylor]: Taking taylor expansion of re in re
11.704 * [backup-simplify]: Simplify 0 into 0
11.704 * [backup-simplify]: Simplify 1 into 1
11.704 * [taylor]: Taking taylor expansion of re in re
11.704 * [backup-simplify]: Simplify 0 into 0
11.704 * [backup-simplify]: Simplify 1 into 1
11.704 * [taylor]: Taking taylor expansion of (* im im) in re
11.704 * [taylor]: Taking taylor expansion of im in re
11.705 * [backup-simplify]: Simplify im into im
11.705 * [taylor]: Taking taylor expansion of im in re
11.705 * [backup-simplify]: Simplify im into im
11.705 * [backup-simplify]: Simplify (* 0 0) into 0
11.705 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.705 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.705 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.706 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.706 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.706 * [backup-simplify]: Simplify (+ 0 0) into 0
11.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.707 * [backup-simplify]: Simplify (+ 0 im) into im
11.707 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
11.707 * [backup-simplify]: Simplify (+ 1 0) into 1
11.707 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
11.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.707 * [taylor]: Taking taylor expansion of 2.0 in re
11.707 * [backup-simplify]: Simplify 2.0 into 2.0
11.708 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.709 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
11.709 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
11.709 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
11.709 * [taylor]: Taking taylor expansion of re in re
11.709 * [backup-simplify]: Simplify 0 into 0
11.709 * [backup-simplify]: Simplify 1 into 1
11.709 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.709 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.709 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.709 * [taylor]: Taking taylor expansion of (* re re) in re
11.709 * [taylor]: Taking taylor expansion of re in re
11.709 * [backup-simplify]: Simplify 0 into 0
11.709 * [backup-simplify]: Simplify 1 into 1
11.709 * [taylor]: Taking taylor expansion of re in re
11.709 * [backup-simplify]: Simplify 0 into 0
11.709 * [backup-simplify]: Simplify 1 into 1
11.709 * [taylor]: Taking taylor expansion of (* im im) in re
11.709 * [taylor]: Taking taylor expansion of im in re
11.709 * [backup-simplify]: Simplify im into im
11.709 * [taylor]: Taking taylor expansion of im in re
11.709 * [backup-simplify]: Simplify im into im
11.710 * [backup-simplify]: Simplify (* 0 0) into 0
11.710 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.710 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.710 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.711 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.711 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.711 * [backup-simplify]: Simplify (+ 0 0) into 0
11.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.711 * [backup-simplify]: Simplify (+ 0 im) into im
11.711 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
11.712 * [backup-simplify]: Simplify (+ 1 0) into 1
11.712 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
11.712 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.712 * [taylor]: Taking taylor expansion of 2.0 in re
11.712 * [backup-simplify]: Simplify 2.0 into 2.0
11.713 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.714 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
11.714 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
11.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.714 * [taylor]: Taking taylor expansion of 2.0 in im
11.714 * [backup-simplify]: Simplify 2.0 into 2.0
11.714 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.716 * [taylor]: Taking taylor expansion of (sqrt im) in im
11.716 * [taylor]: Taking taylor expansion of im in im
11.716 * [backup-simplify]: Simplify 0 into 0
11.716 * [backup-simplify]: Simplify 1 into 1
11.716 * [backup-simplify]: Simplify (sqrt 0) into 0
11.718 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.718 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.718 * [backup-simplify]: Simplify 0 into 0
11.719 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
11.719 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
11.719 * [taylor]: Taking taylor expansion of 1/2 in im
11.719 * [backup-simplify]: Simplify 1/2 into 1/2
11.719 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
11.719 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.719 * [taylor]: Taking taylor expansion of 2.0 in im
11.719 * [backup-simplify]: Simplify 2.0 into 2.0
11.720 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.720 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
11.720 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.720 * [taylor]: Taking taylor expansion of im in im
11.721 * [backup-simplify]: Simplify 0 into 0
11.721 * [backup-simplify]: Simplify 1 into 1
11.721 * [backup-simplify]: Simplify (/ 1 1) into 1
11.721 * [backup-simplify]: Simplify (sqrt 0) into 0
11.723 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.725 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
11.725 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.729 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
11.731 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.733 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
11.735 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.738 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.739 * [backup-simplify]: Simplify (+ 1 0) into 1
11.740 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.740 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
11.741 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
11.742 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
11.742 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
11.742 * [taylor]: Taking taylor expansion of 1/8 in im
11.742 * [backup-simplify]: Simplify 1/8 into 1/8
11.742 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
11.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.742 * [taylor]: Taking taylor expansion of 2.0 in im
11.742 * [backup-simplify]: Simplify 2.0 into 2.0
11.743 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.743 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
11.743 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
11.744 * [taylor]: Taking taylor expansion of (pow im 3) in im
11.744 * [taylor]: Taking taylor expansion of im in im
11.744 * [backup-simplify]: Simplify 0 into 0
11.744 * [backup-simplify]: Simplify 1 into 1
11.744 * [backup-simplify]: Simplify (* 1 1) into 1
11.744 * [backup-simplify]: Simplify (* 1 1) into 1
11.745 * [backup-simplify]: Simplify (/ 1 1) into 1
11.745 * [backup-simplify]: Simplify (sqrt 0) into 0
11.747 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.752 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.753 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.755 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
11.758 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
11.758 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.763 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
11.765 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.770 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
11.772 * [backup-simplify]: Simplify (* (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
11.772 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
11.772 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
11.773 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
11.773 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
11.773 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
11.773 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.773 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
11.773 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
11.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.773 * [taylor]: Taking taylor expansion of re in im
11.773 * [backup-simplify]: Simplify re into re
11.773 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.773 * [taylor]: Taking taylor expansion of re in im
11.773 * [backup-simplify]: Simplify re into re
11.773 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.773 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
11.773 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.773 * [taylor]: Taking taylor expansion of im in im
11.773 * [backup-simplify]: Simplify 0 into 0
11.773 * [backup-simplify]: Simplify 1 into 1
11.774 * [backup-simplify]: Simplify (/ 1 1) into 1
11.774 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.774 * [taylor]: Taking taylor expansion of im in im
11.774 * [backup-simplify]: Simplify 0 into 0
11.774 * [backup-simplify]: Simplify 1 into 1
11.774 * [backup-simplify]: Simplify (/ 1 1) into 1
11.775 * [backup-simplify]: Simplify (* 1 1) into 1
11.775 * [backup-simplify]: Simplify (+ 0 1) into 1
11.776 * [backup-simplify]: Simplify (sqrt 1) into 1
11.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.778 * [backup-simplify]: Simplify (+ 0 0) into 0
11.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.779 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.779 * [taylor]: Taking taylor expansion of re in im
11.779 * [backup-simplify]: Simplify re into re
11.779 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.780 * [backup-simplify]: Simplify (+ 1 0) into 1
11.780 * [backup-simplify]: Simplify (sqrt 0) into 0
11.781 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.781 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.782 * [taylor]: Taking taylor expansion of 2.0 in im
11.782 * [backup-simplify]: Simplify 2.0 into 2.0
11.782 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.783 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
11.783 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
11.783 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
11.783 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.783 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.783 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.783 * [taylor]: Taking taylor expansion of re in re
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify 1 into 1
11.784 * [backup-simplify]: Simplify (/ 1 1) into 1
11.784 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.784 * [taylor]: Taking taylor expansion of re in re
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify 1 into 1
11.784 * [backup-simplify]: Simplify (/ 1 1) into 1
11.784 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.785 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.785 * [taylor]: Taking taylor expansion of im in re
11.785 * [backup-simplify]: Simplify im into im
11.785 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.785 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.785 * [taylor]: Taking taylor expansion of im in re
11.785 * [backup-simplify]: Simplify im into im
11.785 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.785 * [backup-simplify]: Simplify (* 1 1) into 1
11.786 * [backup-simplify]: Simplify (+ 1 0) into 1
11.786 * [backup-simplify]: Simplify (sqrt 1) into 1
11.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.789 * [backup-simplify]: Simplify (+ 0 0) into 0
11.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.789 * [taylor]: Taking taylor expansion of re in re
11.789 * [backup-simplify]: Simplify 0 into 0
11.789 * [backup-simplify]: Simplify 1 into 1
11.790 * [backup-simplify]: Simplify (/ 1 1) into 1
11.790 * [backup-simplify]: Simplify (+ 1 1) into 2
11.791 * [backup-simplify]: Simplify (sqrt 0) into 0
11.792 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
11.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.792 * [taylor]: Taking taylor expansion of 2.0 in re
11.792 * [backup-simplify]: Simplify 2.0 into 2.0
11.792 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.793 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
11.793 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
11.793 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
11.793 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.793 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.794 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.794 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.794 * [taylor]: Taking taylor expansion of re in re
11.794 * [backup-simplify]: Simplify 0 into 0
11.794 * [backup-simplify]: Simplify 1 into 1
11.794 * [backup-simplify]: Simplify (/ 1 1) into 1
11.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.794 * [taylor]: Taking taylor expansion of re in re
11.794 * [backup-simplify]: Simplify 0 into 0
11.794 * [backup-simplify]: Simplify 1 into 1
11.795 * [backup-simplify]: Simplify (/ 1 1) into 1
11.795 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.795 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.795 * [taylor]: Taking taylor expansion of im in re
11.795 * [backup-simplify]: Simplify im into im
11.795 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.795 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.795 * [taylor]: Taking taylor expansion of im in re
11.795 * [backup-simplify]: Simplify im into im
11.795 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.795 * [backup-simplify]: Simplify (* 1 1) into 1
11.796 * [backup-simplify]: Simplify (+ 1 0) into 1
11.796 * [backup-simplify]: Simplify (sqrt 1) into 1
11.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.799 * [backup-simplify]: Simplify (+ 0 0) into 0
11.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.799 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.799 * [taylor]: Taking taylor expansion of re in re
11.799 * [backup-simplify]: Simplify 0 into 0
11.799 * [backup-simplify]: Simplify 1 into 1
11.800 * [backup-simplify]: Simplify (/ 1 1) into 1
11.800 * [backup-simplify]: Simplify (+ 1 1) into 2
11.801 * [backup-simplify]: Simplify (sqrt 0) into 0
11.802 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
11.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.802 * [taylor]: Taking taylor expansion of 2.0 in re
11.802 * [backup-simplify]: Simplify 2.0 into 2.0
11.802 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.803 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
11.803 * [taylor]: Taking taylor expansion of 0 in im
11.803 * [backup-simplify]: Simplify 0 into 0
11.805 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.805 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
11.805 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
11.805 * [taylor]: Taking taylor expansion of +nan.0 in im
11.805 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.805 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.805 * [taylor]: Taking taylor expansion of 2.0 in im
11.805 * [backup-simplify]: Simplify 2.0 into 2.0
11.805 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.806 * [backup-simplify]: Simplify 0 into 0
11.806 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.807 * [backup-simplify]: Simplify (+ 0 0) into 0
11.809 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
11.811 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
11.811 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
11.811 * [taylor]: Taking taylor expansion of +nan.0 in im
11.811 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.811 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.811 * [taylor]: Taking taylor expansion of 2.0 in im
11.811 * [backup-simplify]: Simplify 2.0 into 2.0
11.811 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.812 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
11.813 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.814 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.814 * [backup-simplify]: Simplify 0 into 0
11.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.816 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
11.817 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.818 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.818 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.820 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
11.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
11.821 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
11.821 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
11.821 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
11.821 * [taylor]: Taking taylor expansion of +nan.0 in im
11.821 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.821 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
11.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.821 * [taylor]: Taking taylor expansion of 2.0 in im
11.821 * [backup-simplify]: Simplify 2.0 into 2.0
11.821 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.822 * [taylor]: Taking taylor expansion of im in im
11.822 * [backup-simplify]: Simplify 0 into 0
11.822 * [backup-simplify]: Simplify 1 into 1
11.822 * [backup-simplify]: Simplify (* 1 1) into 1
11.823 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.823 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
11.823 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
11.823 * [taylor]: Taking taylor expansion of +nan.0 in im
11.823 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.823 * [taylor]: Taking taylor expansion of 2.0 in im
11.823 * [backup-simplify]: Simplify 2.0 into 2.0
11.823 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.827 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
11.827 * [backup-simplify]: Simplify (+ 0 0) into 0
11.827 * [backup-simplify]: Simplify (- 0) into 0
11.827 * [backup-simplify]: Simplify 0 into 0
11.828 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
11.830 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.831 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.840 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
11.841 * [backup-simplify]: Simplify (- 0) into 0
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [backup-simplify]: Simplify 0 into 0
11.842 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.846 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
11.846 * [backup-simplify]: Simplify (+ 0 0) into 0
11.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.848 * [backup-simplify]: Simplify (+ 0 0) into 0
11.849 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
11.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
11.852 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
11.852 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
11.852 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
11.852 * [taylor]: Taking taylor expansion of +nan.0 in im
11.853 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.853 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
11.853 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.853 * [taylor]: Taking taylor expansion of 2.0 in im
11.853 * [backup-simplify]: Simplify 2.0 into 2.0
11.853 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.854 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.854 * [taylor]: Taking taylor expansion of im in im
11.854 * [backup-simplify]: Simplify 0 into 0
11.854 * [backup-simplify]: Simplify 1 into 1
11.854 * [backup-simplify]: Simplify (* 1 1) into 1
11.855 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.855 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
11.855 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
11.855 * [taylor]: Taking taylor expansion of +nan.0 in im
11.855 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.855 * [taylor]: Taking taylor expansion of 2.0 in im
11.855 * [backup-simplify]: Simplify 2.0 into 2.0
11.856 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.859 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
11.860 * [backup-simplify]: Simplify (+ 0 0) into 0
11.860 * [backup-simplify]: Simplify (- 0) into 0
11.860 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.864 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
11.865 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
11.867 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.869 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
11.872 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
11.874 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.879 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
11.881 * [backup-simplify]: Simplify (* (* (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
11.881 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
11.881 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
11.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.882 * [taylor]: Taking taylor expansion of 2.0 in im
11.882 * [backup-simplify]: Simplify 2.0 into 2.0
11.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.883 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
11.883 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
11.883 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
11.883 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.883 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
11.883 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
11.883 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.883 * [taylor]: Taking taylor expansion of -1 in im
11.883 * [backup-simplify]: Simplify -1 into -1
11.883 * [taylor]: Taking taylor expansion of re in im
11.883 * [backup-simplify]: Simplify re into re
11.883 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.883 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.883 * [taylor]: Taking taylor expansion of -1 in im
11.883 * [backup-simplify]: Simplify -1 into -1
11.883 * [taylor]: Taking taylor expansion of re in im
11.883 * [backup-simplify]: Simplify re into re
11.884 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.884 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
11.884 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.884 * [taylor]: Taking taylor expansion of -1 in im
11.884 * [backup-simplify]: Simplify -1 into -1
11.884 * [taylor]: Taking taylor expansion of im in im
11.884 * [backup-simplify]: Simplify 0 into 0
11.884 * [backup-simplify]: Simplify 1 into 1
11.884 * [backup-simplify]: Simplify (/ -1 1) into -1
11.884 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.884 * [taylor]: Taking taylor expansion of -1 in im
11.884 * [backup-simplify]: Simplify -1 into -1
11.884 * [taylor]: Taking taylor expansion of im in im
11.884 * [backup-simplify]: Simplify 0 into 0
11.884 * [backup-simplify]: Simplify 1 into 1
11.885 * [backup-simplify]: Simplify (/ -1 1) into -1
11.885 * [backup-simplify]: Simplify (* -1 -1) into 1
11.886 * [backup-simplify]: Simplify (+ 0 1) into 1
11.886 * [backup-simplify]: Simplify (sqrt 1) into 1
11.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.888 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.889 * [backup-simplify]: Simplify (+ 0 0) into 0
11.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.889 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.889 * [taylor]: Taking taylor expansion of re in im
11.890 * [backup-simplify]: Simplify re into re
11.890 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.890 * [backup-simplify]: Simplify (+ 1 0) into 1
11.890 * [backup-simplify]: Simplify (sqrt 0) into 0
11.892 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.892 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
11.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.892 * [taylor]: Taking taylor expansion of 2.0 in re
11.892 * [backup-simplify]: Simplify 2.0 into 2.0
11.892 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.893 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
11.893 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.893 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.893 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.894 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.894 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.894 * [taylor]: Taking taylor expansion of -1 in re
11.894 * [backup-simplify]: Simplify -1 into -1
11.894 * [taylor]: Taking taylor expansion of re in re
11.894 * [backup-simplify]: Simplify 0 into 0
11.894 * [backup-simplify]: Simplify 1 into 1
11.894 * [backup-simplify]: Simplify (/ -1 1) into -1
11.894 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.894 * [taylor]: Taking taylor expansion of -1 in re
11.894 * [backup-simplify]: Simplify -1 into -1
11.894 * [taylor]: Taking taylor expansion of re in re
11.894 * [backup-simplify]: Simplify 0 into 0
11.894 * [backup-simplify]: Simplify 1 into 1
11.895 * [backup-simplify]: Simplify (/ -1 1) into -1
11.895 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.895 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.895 * [taylor]: Taking taylor expansion of -1 in re
11.895 * [backup-simplify]: Simplify -1 into -1
11.895 * [taylor]: Taking taylor expansion of im in re
11.895 * [backup-simplify]: Simplify im into im
11.895 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.895 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.895 * [taylor]: Taking taylor expansion of -1 in re
11.895 * [backup-simplify]: Simplify -1 into -1
11.895 * [taylor]: Taking taylor expansion of im in re
11.895 * [backup-simplify]: Simplify im into im
11.895 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.896 * [backup-simplify]: Simplify (* -1 -1) into 1
11.896 * [backup-simplify]: Simplify (+ 1 0) into 1
11.896 * [backup-simplify]: Simplify (sqrt 1) into 1
11.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.899 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.899 * [backup-simplify]: Simplify (+ 0 0) into 0
11.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.900 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.900 * [taylor]: Taking taylor expansion of re in re
11.900 * [backup-simplify]: Simplify 0 into 0
11.900 * [backup-simplify]: Simplify 1 into 1
11.900 * [backup-simplify]: Simplify (/ 1 1) into 1
11.901 * [backup-simplify]: Simplify (- 1) into -1
11.901 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.902 * [backup-simplify]: Simplify (- 0) into 0
11.903 * [backup-simplify]: Simplify (+ 0 0) into 0
11.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.906 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.906 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
11.906 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.908 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.909 * [backup-simplify]: Simplify (- 0) into 0
11.909 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.910 * [backup-simplify]: Simplify (sqrt 0) into 0
11.910 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
11.910 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
11.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.910 * [taylor]: Taking taylor expansion of 2.0 in re
11.910 * [backup-simplify]: Simplify 2.0 into 2.0
11.911 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.912 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
11.912 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
11.912 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.912 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.912 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.912 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.912 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.912 * [taylor]: Taking taylor expansion of -1 in re
11.912 * [backup-simplify]: Simplify -1 into -1
11.912 * [taylor]: Taking taylor expansion of re in re
11.912 * [backup-simplify]: Simplify 0 into 0
11.912 * [backup-simplify]: Simplify 1 into 1
11.912 * [backup-simplify]: Simplify (/ -1 1) into -1
11.912 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.912 * [taylor]: Taking taylor expansion of -1 in re
11.912 * [backup-simplify]: Simplify -1 into -1
11.912 * [taylor]: Taking taylor expansion of re in re
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 1 into 1
11.913 * [backup-simplify]: Simplify (/ -1 1) into -1
11.913 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.913 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.913 * [taylor]: Taking taylor expansion of -1 in re
11.913 * [backup-simplify]: Simplify -1 into -1
11.913 * [taylor]: Taking taylor expansion of im in re
11.913 * [backup-simplify]: Simplify im into im
11.913 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.913 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.913 * [taylor]: Taking taylor expansion of -1 in re
11.913 * [backup-simplify]: Simplify -1 into -1
11.913 * [taylor]: Taking taylor expansion of im in re
11.913 * [backup-simplify]: Simplify im into im
11.913 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.914 * [backup-simplify]: Simplify (* -1 -1) into 1
11.914 * [backup-simplify]: Simplify (+ 1 0) into 1
11.914 * [backup-simplify]: Simplify (sqrt 1) into 1
11.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.916 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.917 * [backup-simplify]: Simplify (+ 0 0) into 0
11.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.917 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.917 * [taylor]: Taking taylor expansion of re in re
11.917 * [backup-simplify]: Simplify 0 into 0
11.917 * [backup-simplify]: Simplify 1 into 1
11.918 * [backup-simplify]: Simplify (/ 1 1) into 1
11.918 * [backup-simplify]: Simplify (- 1) into -1
11.919 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.920 * [backup-simplify]: Simplify (- 0) into 0
11.920 * [backup-simplify]: Simplify (+ 0 0) into 0
11.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.922 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.923 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
11.923 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.924 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.925 * [backup-simplify]: Simplify (- 0) into 0
11.925 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.926 * [backup-simplify]: Simplify (sqrt 0) into 0
11.926 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
11.927 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.927 * [taylor]: Taking taylor expansion of 0 in im
11.927 * [backup-simplify]: Simplify 0 into 0
11.928 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
11.928 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
11.928 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
11.928 * [taylor]: Taking taylor expansion of +nan.0 in im
11.928 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.928 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
11.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.928 * [taylor]: Taking taylor expansion of 2.0 in im
11.928 * [backup-simplify]: Simplify 2.0 into 2.0
11.928 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.929 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.929 * [taylor]: Taking taylor expansion of im in im
11.929 * [backup-simplify]: Simplify 0 into 0
11.929 * [backup-simplify]: Simplify 1 into 1
11.930 * [backup-simplify]: Simplify (* 1 1) into 1
11.930 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.933 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
11.933 * [backup-simplify]: Simplify (- 0) into 0
11.933 * [backup-simplify]: Simplify 0 into 0
11.933 * [backup-simplify]: Simplify 0 into 0
11.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.936 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.936 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.936 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.936 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
11.937 * [backup-simplify]: Simplify (+ 0 0) into 0
11.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.938 * [backup-simplify]: Simplify (- 0) into 0
11.939 * [backup-simplify]: Simplify (+ 0 0) into 0
11.939 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
11.940 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.941 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
11.941 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
11.941 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
11.941 * [taylor]: Taking taylor expansion of +nan.0 in im
11.941 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.941 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
11.941 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.941 * [taylor]: Taking taylor expansion of 2.0 in im
11.941 * [backup-simplify]: Simplify 2.0 into 2.0
11.941 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.942 * [taylor]: Taking taylor expansion of (pow im 4) in im
11.942 * [taylor]: Taking taylor expansion of im in im
11.942 * [backup-simplify]: Simplify 0 into 0
11.942 * [backup-simplify]: Simplify 1 into 1
11.943 * [backup-simplify]: Simplify (* 1 1) into 1
11.943 * [backup-simplify]: Simplify (* 1 1) into 1
11.943 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.944 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.950 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
11.951 * [backup-simplify]: Simplify (- 0) into 0
11.951 * [backup-simplify]: Simplify 0 into 0
11.951 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.953 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
11.953 * [backup-simplify]: Simplify (- 0) into 0
11.953 * [backup-simplify]: Simplify 0 into 0
11.953 * [backup-simplify]: Simplify 0 into 0
11.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.955 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
11.955 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
11.955 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
11.956 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
11.956 * [backup-simplify]: Simplify (+ 0 0) into 0
11.957 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
11.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.957 * [backup-simplify]: Simplify (- 0) into 0
11.958 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
11.958 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
11.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.961 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
11.961 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
11.961 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
11.961 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
11.961 * [taylor]: Taking taylor expansion of +nan.0 in im
11.961 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.961 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
11.961 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.961 * [taylor]: Taking taylor expansion of 2.0 in im
11.961 * [backup-simplify]: Simplify 2.0 into 2.0
11.961 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.962 * [taylor]: Taking taylor expansion of (pow im 4) in im
11.962 * [taylor]: Taking taylor expansion of im in im
11.962 * [backup-simplify]: Simplify 0 into 0
11.962 * [backup-simplify]: Simplify 1 into 1
11.962 * [backup-simplify]: Simplify (* 1 1) into 1
11.962 * [backup-simplify]: Simplify (* 1 1) into 1
11.963 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.963 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
11.963 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
11.963 * [taylor]: Taking taylor expansion of +nan.0 in im
11.963 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.963 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
11.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.963 * [taylor]: Taking taylor expansion of 2.0 in im
11.963 * [backup-simplify]: Simplify 2.0 into 2.0
11.963 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.964 * [taylor]: Taking taylor expansion of (pow im 6) in im
11.964 * [taylor]: Taking taylor expansion of im in im
11.964 * [backup-simplify]: Simplify 0 into 0
11.964 * [backup-simplify]: Simplify 1 into 1
11.964 * [backup-simplify]: Simplify (* 1 1) into 1
11.965 * [backup-simplify]: Simplify (* 1 1) into 1
11.965 * [backup-simplify]: Simplify (* 1 1) into 1
11.965 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.966 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.980 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
11.981 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.982 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.982 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.996 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
11.996 * [backup-simplify]: Simplify (- 0) into 0
11.996 * [backup-simplify]: Simplify (+ 0 0) into 0
11.996 * [backup-simplify]: Simplify (- 0) into 0
11.996 * [backup-simplify]: Simplify 0 into 0
11.996 * [backup-simplify]: Simplify 0 into 0
11.996 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2)
11.997 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
11.997 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
11.997 * [taylor]: Taking taylor expansion of (hypot re im) in im
11.997 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.997 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
11.997 * [taylor]: Taking taylor expansion of (* re re) in im
11.997 * [taylor]: Taking taylor expansion of re in im
11.997 * [backup-simplify]: Simplify re into re
11.997 * [taylor]: Taking taylor expansion of re in im
11.997 * [backup-simplify]: Simplify re into re
11.997 * [taylor]: Taking taylor expansion of (* im im) in im
11.997 * [taylor]: Taking taylor expansion of im in im
11.997 * [backup-simplify]: Simplify 0 into 0
11.997 * [backup-simplify]: Simplify 1 into 1
11.997 * [taylor]: Taking taylor expansion of im in im
11.997 * [backup-simplify]: Simplify 0 into 0
11.997 * [backup-simplify]: Simplify 1 into 1
11.997 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.997 * [backup-simplify]: Simplify (* 0 0) into 0
11.997 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.997 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.997 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.998 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.998 * [backup-simplify]: Simplify (+ 0 0) into 0
11.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.998 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.998 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.998 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.998 * [taylor]: Taking taylor expansion of (* re re) in re
11.998 * [taylor]: Taking taylor expansion of re in re
11.998 * [backup-simplify]: Simplify 0 into 0
11.998 * [backup-simplify]: Simplify 1 into 1
11.998 * [taylor]: Taking taylor expansion of re in re
11.998 * [backup-simplify]: Simplify 0 into 0
11.998 * [backup-simplify]: Simplify 1 into 1
11.998 * [taylor]: Taking taylor expansion of (* im im) in re
11.998 * [taylor]: Taking taylor expansion of im in re
11.998 * [backup-simplify]: Simplify im into im
11.998 * [taylor]: Taking taylor expansion of im in re
11.998 * [backup-simplify]: Simplify im into im
11.999 * [backup-simplify]: Simplify (* 0 0) into 0
11.999 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.999 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.999 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.999 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.999 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.000 * [backup-simplify]: Simplify (+ 0 0) into 0
12.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.000 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.000 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.000 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.000 * [taylor]: Taking taylor expansion of (* re re) in re
12.000 * [taylor]: Taking taylor expansion of re in re
12.000 * [backup-simplify]: Simplify 0 into 0
12.000 * [backup-simplify]: Simplify 1 into 1
12.000 * [taylor]: Taking taylor expansion of re in re
12.000 * [backup-simplify]: Simplify 0 into 0
12.000 * [backup-simplify]: Simplify 1 into 1
12.000 * [taylor]: Taking taylor expansion of (* im im) in re
12.000 * [taylor]: Taking taylor expansion of im in re
12.000 * [backup-simplify]: Simplify im into im
12.000 * [taylor]: Taking taylor expansion of im in re
12.000 * [backup-simplify]: Simplify im into im
12.000 * [backup-simplify]: Simplify (* 0 0) into 0
12.000 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.000 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.001 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.001 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.001 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.001 * [backup-simplify]: Simplify (+ 0 0) into 0
12.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.001 * [taylor]: Taking taylor expansion of im in im
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify 1 into 1
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [taylor]: Taking taylor expansion of 0 in im
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify 1 into 1
12.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.002 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.002 * [backup-simplify]: Simplify (+ 1 0) into 1
12.003 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.003 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
12.003 * [taylor]: Taking taylor expansion of 1/2 in im
12.003 * [backup-simplify]: Simplify 1/2 into 1/2
12.003 * [taylor]: Taking taylor expansion of im in im
12.003 * [backup-simplify]: Simplify 0 into 0
12.003 * [backup-simplify]: Simplify 1 into 1
12.003 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.004 * [backup-simplify]: Simplify 0 into 0
12.004 * [backup-simplify]: Simplify 0 into 0
12.004 * [backup-simplify]: Simplify 0 into 0
12.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.005 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.005 * [backup-simplify]: Simplify (+ 0 0) into 0
12.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.005 * [taylor]: Taking taylor expansion of 0 in im
12.005 * [backup-simplify]: Simplify 0 into 0
12.005 * [backup-simplify]: Simplify 0 into 0
12.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.006 * [backup-simplify]: Simplify 0 into 0
12.006 * [backup-simplify]: Simplify 0 into 0
12.006 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
12.006 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
12.006 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
12.006 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.006 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.006 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.006 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.006 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.006 * [taylor]: Taking taylor expansion of re in im
12.006 * [backup-simplify]: Simplify re into re
12.006 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.006 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.006 * [taylor]: Taking taylor expansion of re in im
12.006 * [backup-simplify]: Simplify re into re
12.006 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.006 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.006 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.007 * [taylor]: Taking taylor expansion of im in im
12.007 * [backup-simplify]: Simplify 0 into 0
12.007 * [backup-simplify]: Simplify 1 into 1
12.007 * [backup-simplify]: Simplify (/ 1 1) into 1
12.007 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.007 * [taylor]: Taking taylor expansion of im in im
12.007 * [backup-simplify]: Simplify 0 into 0
12.007 * [backup-simplify]: Simplify 1 into 1
12.007 * [backup-simplify]: Simplify (/ 1 1) into 1
12.007 * [backup-simplify]: Simplify (* 1 1) into 1
12.008 * [backup-simplify]: Simplify (+ 0 1) into 1
12.008 * [backup-simplify]: Simplify (sqrt 1) into 1
12.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.009 * [backup-simplify]: Simplify (+ 0 0) into 0
12.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.010 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.010 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.010 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.010 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.010 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.010 * [taylor]: Taking taylor expansion of re in re
12.010 * [backup-simplify]: Simplify 0 into 0
12.010 * [backup-simplify]: Simplify 1 into 1
12.010 * [backup-simplify]: Simplify (/ 1 1) into 1
12.010 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.010 * [taylor]: Taking taylor expansion of re in re
12.010 * [backup-simplify]: Simplify 0 into 0
12.010 * [backup-simplify]: Simplify 1 into 1
12.011 * [backup-simplify]: Simplify (/ 1 1) into 1
12.011 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.011 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.011 * [taylor]: Taking taylor expansion of im in re
12.011 * [backup-simplify]: Simplify im into im
12.011 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.011 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.011 * [taylor]: Taking taylor expansion of im in re
12.011 * [backup-simplify]: Simplify im into im
12.011 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.011 * [backup-simplify]: Simplify (* 1 1) into 1
12.011 * [backup-simplify]: Simplify (+ 1 0) into 1
12.011 * [backup-simplify]: Simplify (sqrt 1) into 1
12.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.013 * [backup-simplify]: Simplify (+ 0 0) into 0
12.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.013 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.013 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.013 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.014 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.014 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.014 * [taylor]: Taking taylor expansion of re in re
12.014 * [backup-simplify]: Simplify 0 into 0
12.014 * [backup-simplify]: Simplify 1 into 1
12.014 * [backup-simplify]: Simplify (/ 1 1) into 1
12.014 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.014 * [taylor]: Taking taylor expansion of re in re
12.014 * [backup-simplify]: Simplify 0 into 0
12.014 * [backup-simplify]: Simplify 1 into 1
12.014 * [backup-simplify]: Simplify (/ 1 1) into 1
12.014 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.014 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.014 * [taylor]: Taking taylor expansion of im in re
12.014 * [backup-simplify]: Simplify im into im
12.014 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.014 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.014 * [taylor]: Taking taylor expansion of im in re
12.014 * [backup-simplify]: Simplify im into im
12.014 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.015 * [backup-simplify]: Simplify (* 1 1) into 1
12.015 * [backup-simplify]: Simplify (+ 1 0) into 1
12.015 * [backup-simplify]: Simplify (sqrt 1) into 1
12.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.016 * [backup-simplify]: Simplify (+ 0 0) into 0
12.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.017 * [taylor]: Taking taylor expansion of 1 in im
12.017 * [backup-simplify]: Simplify 1 into 1
12.017 * [taylor]: Taking taylor expansion of 0 in im
12.017 * [backup-simplify]: Simplify 0 into 0
12.017 * [backup-simplify]: Simplify 1 into 1
12.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.019 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.019 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.020 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.020 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.020 * [taylor]: Taking taylor expansion of 1/2 in im
12.020 * [backup-simplify]: Simplify 1/2 into 1/2
12.020 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.020 * [taylor]: Taking taylor expansion of im in im
12.020 * [backup-simplify]: Simplify 0 into 0
12.020 * [backup-simplify]: Simplify 1 into 1
12.020 * [backup-simplify]: Simplify (* 1 1) into 1
12.020 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.021 * [backup-simplify]: Simplify 0 into 0
12.021 * [backup-simplify]: Simplify 0 into 0
12.021 * [backup-simplify]: Simplify 0 into 0
12.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.023 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.023 * [backup-simplify]: Simplify (+ 0 0) into 0
12.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.024 * [taylor]: Taking taylor expansion of 0 in im
12.024 * [backup-simplify]: Simplify 0 into 0
12.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.025 * [backup-simplify]: Simplify 0 into 0
12.025 * [backup-simplify]: Simplify 0 into 0
12.025 * [backup-simplify]: Simplify 0 into 0
12.025 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
12.025 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
12.025 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
12.025 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.025 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.025 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.025 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.025 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.025 * [taylor]: Taking taylor expansion of -1 in im
12.025 * [backup-simplify]: Simplify -1 into -1
12.025 * [taylor]: Taking taylor expansion of re in im
12.025 * [backup-simplify]: Simplify re into re
12.025 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.025 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.025 * [taylor]: Taking taylor expansion of -1 in im
12.025 * [backup-simplify]: Simplify -1 into -1
12.025 * [taylor]: Taking taylor expansion of re in im
12.025 * [backup-simplify]: Simplify re into re
12.025 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.025 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.025 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.025 * [taylor]: Taking taylor expansion of -1 in im
12.025 * [backup-simplify]: Simplify -1 into -1
12.025 * [taylor]: Taking taylor expansion of im in im
12.025 * [backup-simplify]: Simplify 0 into 0
12.025 * [backup-simplify]: Simplify 1 into 1
12.026 * [backup-simplify]: Simplify (/ -1 1) into -1
12.026 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.026 * [taylor]: Taking taylor expansion of -1 in im
12.026 * [backup-simplify]: Simplify -1 into -1
12.026 * [taylor]: Taking taylor expansion of im in im
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify 1 into 1
12.026 * [backup-simplify]: Simplify (/ -1 1) into -1
12.026 * [backup-simplify]: Simplify (* -1 -1) into 1
12.027 * [backup-simplify]: Simplify (+ 0 1) into 1
12.027 * [backup-simplify]: Simplify (sqrt 1) into 1
12.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.028 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.028 * [backup-simplify]: Simplify (+ 0 0) into 0
12.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.029 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.029 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.029 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.029 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.029 * [taylor]: Taking taylor expansion of -1 in re
12.029 * [backup-simplify]: Simplify -1 into -1
12.029 * [taylor]: Taking taylor expansion of re in re
12.029 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify 1 into 1
12.029 * [backup-simplify]: Simplify (/ -1 1) into -1
12.029 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.029 * [taylor]: Taking taylor expansion of -1 in re
12.029 * [backup-simplify]: Simplify -1 into -1
12.029 * [taylor]: Taking taylor expansion of re in re
12.029 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify 1 into 1
12.030 * [backup-simplify]: Simplify (/ -1 1) into -1
12.030 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.030 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.030 * [taylor]: Taking taylor expansion of -1 in re
12.030 * [backup-simplify]: Simplify -1 into -1
12.030 * [taylor]: Taking taylor expansion of im in re
12.030 * [backup-simplify]: Simplify im into im
12.030 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.030 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.030 * [taylor]: Taking taylor expansion of -1 in re
12.030 * [backup-simplify]: Simplify -1 into -1
12.030 * [taylor]: Taking taylor expansion of im in re
12.030 * [backup-simplify]: Simplify im into im
12.030 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.030 * [backup-simplify]: Simplify (* -1 -1) into 1
12.030 * [backup-simplify]: Simplify (+ 1 0) into 1
12.031 * [backup-simplify]: Simplify (sqrt 1) into 1
12.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.032 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.032 * [backup-simplify]: Simplify (+ 0 0) into 0
12.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.033 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.033 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.033 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.033 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.033 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.033 * [taylor]: Taking taylor expansion of -1 in re
12.033 * [backup-simplify]: Simplify -1 into -1
12.033 * [taylor]: Taking taylor expansion of re in re
12.033 * [backup-simplify]: Simplify 0 into 0
12.033 * [backup-simplify]: Simplify 1 into 1
12.033 * [backup-simplify]: Simplify (/ -1 1) into -1
12.033 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.033 * [taylor]: Taking taylor expansion of -1 in re
12.033 * [backup-simplify]: Simplify -1 into -1
12.033 * [taylor]: Taking taylor expansion of re in re
12.033 * [backup-simplify]: Simplify 0 into 0
12.033 * [backup-simplify]: Simplify 1 into 1
12.034 * [backup-simplify]: Simplify (/ -1 1) into -1
12.034 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.034 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.034 * [taylor]: Taking taylor expansion of -1 in re
12.034 * [backup-simplify]: Simplify -1 into -1
12.034 * [taylor]: Taking taylor expansion of im in re
12.034 * [backup-simplify]: Simplify im into im
12.034 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.034 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.034 * [taylor]: Taking taylor expansion of -1 in re
12.034 * [backup-simplify]: Simplify -1 into -1
12.034 * [taylor]: Taking taylor expansion of im in re
12.034 * [backup-simplify]: Simplify im into im
12.034 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.034 * [backup-simplify]: Simplify (* -1 -1) into 1
12.034 * [backup-simplify]: Simplify (+ 1 0) into 1
12.035 * [backup-simplify]: Simplify (sqrt 1) into 1
12.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.036 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.036 * [backup-simplify]: Simplify (+ 0 0) into 0
12.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.037 * [taylor]: Taking taylor expansion of 1 in im
12.037 * [backup-simplify]: Simplify 1 into 1
12.037 * [taylor]: Taking taylor expansion of 0 in im
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [backup-simplify]: Simplify 1 into 1
12.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.038 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.039 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.039 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.040 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.040 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.040 * [taylor]: Taking taylor expansion of 1/2 in im
12.040 * [backup-simplify]: Simplify 1/2 into 1/2
12.040 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.040 * [taylor]: Taking taylor expansion of im in im
12.040 * [backup-simplify]: Simplify 0 into 0
12.040 * [backup-simplify]: Simplify 1 into 1
12.040 * [backup-simplify]: Simplify (* 1 1) into 1
12.041 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify 0 into 0
12.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.046 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.046 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.046 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.047 * [backup-simplify]: Simplify (+ 0 0) into 0
12.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.047 * [taylor]: Taking taylor expansion of 0 in im
12.047 * [backup-simplify]: Simplify 0 into 0
12.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.049 * [backup-simplify]: Simplify 0 into 0
12.049 * [backup-simplify]: Simplify 0 into 0
12.049 * [backup-simplify]: Simplify 0 into 0
12.049 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
12.050 * * * [progress]: simplifying candidates
12.052 * [simplify]: Simplifying:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (log1p (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (* (+ re (hypot re im)) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (* (+ re (hypot re im)) (sqrt 2.0))
  (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt (sqrt 2.0))))
  (log (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (exp (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))))
  (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (* (+ re (hypot re im)) (sqrt 2.0))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (sqrt (+ re (hypot re im))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 1)))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (sqrt 1))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) 1)
  (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (sqrt 2.0)))
  (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (sqrt 2.0)))
  (expm1 (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (log1p (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (+ re (hypot re im)) (sqrt 2.0)) (sqrt 2.0))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (* (* (+ re (hypot re im)) (sqrt 2.0)) (sqrt 2.0))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (+ (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (+ (log (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (log (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (exp (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
  (cbrt (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (+ re (hypot re im)) (sqrt 2.0)) (sqrt 2.0))
  (sqrt (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 1)))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt 1))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) 1)
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)))
  (* (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (* (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0)))))))
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  im
  re
  (* -1 re)
12.057 * * [simplify]: Extracting # 0 : cost  0
12.057 * * [simplify]: Extracting # 1 : cost  0
12.057 * * [simplify]: Extracting # 2 : cost  0
12.058 * * [simplify]: Extracting # 3 : cost  0
12.058 * * [simplify]: Extracting # 4 : cost  0
12.058 * * [simplify]: Extracting # 5 : cost  0
12.059 * * [simplify]: Extracting # 6 : cost  0
12.059 * * [simplify]: Extracting # 7 : cost  0
12.059 * * [simplify]: Extracting # 8 : cost  0
12.060 * * [simplify]: Extracting # 9 : cost  0
12.060 * * [simplify]: Extracting # 10 : cost  0
12.061 * * [simplify]: Extracting # 11 : cost  0
12.061 * * [simplify]: iteration  0 :  157  enodes  (cost  1408 )
12.116 * * [simplify]: Extracting # 0 : cost  0
12.117 * * [simplify]: Extracting # 1 : cost  0
12.117 * * [simplify]: Extracting # 2 : cost  0
12.117 * * [simplify]: Extracting # 3 : cost  0
12.118 * * [simplify]: Extracting # 4 : cost  0
12.118 * * [simplify]: iteration  1 :  375  enodes  (cost  1181 )
12.297 * * [simplify]: Extracting # 0 : cost  0
12.300 * * [simplify]: Extracting # 1 : cost  0
12.302 * * [simplify]: Extracting # 2 : cost  0
12.304 * * [simplify]: Extracting # 3 : cost  0
12.306 * * [simplify]: Extracting # 4 : cost  0
12.308 * * [simplify]: iteration  2 :  1087  enodes  (cost  1086 )
13.482 * * [simplify]: Extracting # 0 : cost  0
13.486 * * [simplify]: Extracting # 1 : cost  0
13.493 * * [simplify]: Extracting # 2 : cost  0
13.496 * * [simplify]: Extracting # 3 : cost  0
13.499 * * [simplify]: Extracting # 4 : cost  0
13.502 * * [simplify]: iteration  3 :  3349  enodes  (cost  1074 )
14.961 * * [simplify]: Extracting # 0 : cost  0
14.967 * * [simplify]: Extracting # 1 : cost  0
14.973 * * [simplify]: Extracting # 2 : cost  0
14.979 * * [simplify]: iteration done:  5000  enodes  (cost  1071 )
14.980 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (log1p (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (* (+ re (hypot re im)) (sqrt 2.0))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (+ re (hypot re im)) (sqrt 2.0))
  (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (exp (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (pow (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) 3)
  (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))))
  (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (pow (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) 3)
  (* (+ re (hypot re im)) (sqrt 2.0))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (sqrt (+ re (hypot re im))) (fabs (cbrt (sqrt 2.0))))
  (* (sqrt (fabs (cbrt 2.0))) (sqrt (+ re (hypot re im))))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (+ re (hypot re im)))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (+ re (hypot re im)))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (+ re (hypot re im)))
  (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt 2.0)) (hypot (pow re 3/2) (pow (hypot re im) 3/2)))
  (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (sqrt 2.0)))
  (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (+ re (hypot re im)) 2.0)
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (+ re (hypot re im)) 2.0)
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3)
  (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3)
  (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3)
  (* (+ re (hypot re im)) 2.0)
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (fabs (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (* (sqrt (fabs (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (sqrt 2.0)
  (* (sqrt 2.0) (hypot (pow re 3/2) (pow (hypot re im) 3/2)))
  (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  (* +nan.0 (fma (sqrt 2.0) (- im re) (- (* 2.0 (* re re)))))
  (* +nan.0 (fma (- (/ (sqrt 2.0) re)) (/ 2.0 re) (- (/ 2.0 re) (sqrt 2.0))))
  0
  (* (* (sqrt 2.0) +nan.0) (fma (- re) re (- im re)))
  (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)))
  0
  im
  re
  (- re)
14.981 * * * [progress]: adding candidates to table
15.484 * * [progress]: iteration 4 / 4
15.484 * * * [progress]: picking best candidate
15.511 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))))>
15.512 * * * [progress]: localizing error
15.522 * * * [progress]: generating rewritten candidates
15.522 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
15.528 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
15.537 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 2)
15.538 * * * [progress]: generating series expansions
15.538 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1)
15.538 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
15.538 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
15.538 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
15.538 * [taylor]: Taking taylor expansion of re in im
15.538 * [backup-simplify]: Simplify re into re
15.538 * [taylor]: Taking taylor expansion of (hypot re im) in im
15.539 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
15.539 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
15.539 * [taylor]: Taking taylor expansion of (* re re) in im
15.539 * [taylor]: Taking taylor expansion of re in im
15.539 * [backup-simplify]: Simplify re into re
15.539 * [taylor]: Taking taylor expansion of re in im
15.539 * [backup-simplify]: Simplify re into re
15.539 * [taylor]: Taking taylor expansion of (* im im) in im
15.539 * [taylor]: Taking taylor expansion of im in im
15.539 * [backup-simplify]: Simplify 0 into 0
15.539 * [backup-simplify]: Simplify 1 into 1
15.539 * [taylor]: Taking taylor expansion of im in im
15.539 * [backup-simplify]: Simplify 0 into 0
15.539 * [backup-simplify]: Simplify 1 into 1
15.539 * [backup-simplify]: Simplify (* re re) into (pow re 2)
15.539 * [backup-simplify]: Simplify (* 0 0) into 0
15.539 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
15.540 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
15.540 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
15.540 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.540 * [backup-simplify]: Simplify (+ 0 0) into 0
15.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
15.541 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
15.541 * [taylor]: Taking taylor expansion of re in re
15.541 * [backup-simplify]: Simplify 0 into 0
15.541 * [backup-simplify]: Simplify 1 into 1
15.541 * [taylor]: Taking taylor expansion of (hypot re im) in re
15.541 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
15.541 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
15.541 * [taylor]: Taking taylor expansion of (* re re) in re
15.541 * [taylor]: Taking taylor expansion of re in re
15.541 * [backup-simplify]: Simplify 0 into 0
15.541 * [backup-simplify]: Simplify 1 into 1
15.541 * [taylor]: Taking taylor expansion of re in re
15.541 * [backup-simplify]: Simplify 0 into 0
15.541 * [backup-simplify]: Simplify 1 into 1
15.541 * [taylor]: Taking taylor expansion of (* im im) in re
15.541 * [taylor]: Taking taylor expansion of im in re
15.541 * [backup-simplify]: Simplify im into im
15.541 * [taylor]: Taking taylor expansion of im in re
15.541 * [backup-simplify]: Simplify im into im
15.541 * [backup-simplify]: Simplify (* 0 0) into 0
15.541 * [backup-simplify]: Simplify (* im im) into (pow im 2)
15.541 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
15.541 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
15.542 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.542 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
15.542 * [backup-simplify]: Simplify (+ 0 0) into 0
15.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
15.542 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
15.542 * [taylor]: Taking taylor expansion of re in re
15.542 * [backup-simplify]: Simplify 0 into 0
15.542 * [backup-simplify]: Simplify 1 into 1
15.542 * [taylor]: Taking taylor expansion of (hypot re im) in re
15.542 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
15.542 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
15.542 * [taylor]: Taking taylor expansion of (* re re) in re
15.542 * [taylor]: Taking taylor expansion of re in re
15.542 * [backup-simplify]: Simplify 0 into 0
15.542 * [backup-simplify]: Simplify 1 into 1
15.542 * [taylor]: Taking taylor expansion of re in re
15.543 * [backup-simplify]: Simplify 0 into 0
15.543 * [backup-simplify]: Simplify 1 into 1
15.543 * [taylor]: Taking taylor expansion of (* im im) in re
15.543 * [taylor]: Taking taylor expansion of im in re
15.543 * [backup-simplify]: Simplify im into im
15.543 * [taylor]: Taking taylor expansion of im in re
15.543 * [backup-simplify]: Simplify im into im
15.543 * [backup-simplify]: Simplify (* 0 0) into 0
15.543 * [backup-simplify]: Simplify (* im im) into (pow im 2)
15.543 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
15.543 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
15.543 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.544 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
15.544 * [backup-simplify]: Simplify (+ 0 0) into 0
15.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
15.544 * [backup-simplify]: Simplify (+ 0 im) into im
15.544 * [taylor]: Taking taylor expansion of im in im
15.544 * [backup-simplify]: Simplify 0 into 0
15.544 * [backup-simplify]: Simplify 1 into 1
15.544 * [backup-simplify]: Simplify 0 into 0
15.551 * [backup-simplify]: Simplify (+ 1 0) into 1
15.551 * [taylor]: Taking taylor expansion of 1 in im
15.552 * [backup-simplify]: Simplify 1 into 1
15.552 * [backup-simplify]: Simplify 1 into 1
15.552 * [backup-simplify]: Simplify 1 into 1
15.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.553 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
15.554 * [backup-simplify]: Simplify (+ 1 0) into 1
15.555 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
15.555 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
15.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
15.555 * [taylor]: Taking taylor expansion of 1/2 in im
15.555 * [backup-simplify]: Simplify 1/2 into 1/2
15.555 * [taylor]: Taking taylor expansion of (/ 1 im) in im
15.555 * [taylor]: Taking taylor expansion of im in im
15.555 * [backup-simplify]: Simplify 0 into 0
15.555 * [backup-simplify]: Simplify 1 into 1
15.555 * [backup-simplify]: Simplify (/ 1 1) into 1
15.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
15.557 * [backup-simplify]: Simplify 0 into 0
15.557 * [backup-simplify]: Simplify 0 into 0
15.557 * [backup-simplify]: Simplify 0 into 0
15.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
15.559 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
15.559 * [backup-simplify]: Simplify (+ 0 0) into 0
15.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
15.560 * [backup-simplify]: Simplify (+ 0 0) into 0
15.560 * [taylor]: Taking taylor expansion of 0 in im
15.560 * [backup-simplify]: Simplify 0 into 0
15.560 * [backup-simplify]: Simplify 0 into 0
15.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
15.562 * [backup-simplify]: Simplify 0 into 0
15.562 * [backup-simplify]: Simplify 0 into 0
15.562 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
15.562 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
15.562 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
15.562 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
15.562 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
15.563 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
15.563 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
15.563 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
15.563 * [taylor]: Taking taylor expansion of (/ 1 re) in im
15.563 * [taylor]: Taking taylor expansion of re in im
15.563 * [backup-simplify]: Simplify re into re
15.563 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
15.563 * [taylor]: Taking taylor expansion of (/ 1 re) in im
15.563 * [taylor]: Taking taylor expansion of re in im
15.563 * [backup-simplify]: Simplify re into re
15.563 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
15.563 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
15.563 * [taylor]: Taking taylor expansion of (/ 1 im) in im
15.563 * [taylor]: Taking taylor expansion of im in im
15.563 * [backup-simplify]: Simplify 0 into 0
15.563 * [backup-simplify]: Simplify 1 into 1
15.564 * [backup-simplify]: Simplify (/ 1 1) into 1
15.564 * [taylor]: Taking taylor expansion of (/ 1 im) in im
15.564 * [taylor]: Taking taylor expansion of im in im
15.564 * [backup-simplify]: Simplify 0 into 0
15.564 * [backup-simplify]: Simplify 1 into 1
15.564 * [backup-simplify]: Simplify (/ 1 1) into 1
15.565 * [backup-simplify]: Simplify (* 1 1) into 1
15.565 * [backup-simplify]: Simplify (+ 0 1) into 1
15.565 * [backup-simplify]: Simplify (sqrt 1) into 1
15.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.568 * [backup-simplify]: Simplify (+ 0 0) into 0
15.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.569 * [taylor]: Taking taylor expansion of (/ 1 re) in im
15.569 * [taylor]: Taking taylor expansion of re in im
15.569 * [backup-simplify]: Simplify re into re
15.569 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
15.569 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
15.569 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
15.569 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
15.569 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
15.569 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
15.569 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.569 * [taylor]: Taking taylor expansion of re in re
15.569 * [backup-simplify]: Simplify 0 into 0
15.569 * [backup-simplify]: Simplify 1 into 1
15.570 * [backup-simplify]: Simplify (/ 1 1) into 1
15.570 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.570 * [taylor]: Taking taylor expansion of re in re
15.570 * [backup-simplify]: Simplify 0 into 0
15.570 * [backup-simplify]: Simplify 1 into 1
15.570 * [backup-simplify]: Simplify (/ 1 1) into 1
15.570 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
15.570 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.570 * [taylor]: Taking taylor expansion of im in re
15.570 * [backup-simplify]: Simplify im into im
15.570 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.570 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.570 * [taylor]: Taking taylor expansion of im in re
15.570 * [backup-simplify]: Simplify im into im
15.570 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.571 * [backup-simplify]: Simplify (* 1 1) into 1
15.571 * [backup-simplify]: Simplify (+ 1 0) into 1
15.572 * [backup-simplify]: Simplify (sqrt 1) into 1
15.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.574 * [backup-simplify]: Simplify (+ 0 0) into 0
15.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.574 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.574 * [taylor]: Taking taylor expansion of re in re
15.574 * [backup-simplify]: Simplify 0 into 0
15.574 * [backup-simplify]: Simplify 1 into 1
15.575 * [backup-simplify]: Simplify (/ 1 1) into 1
15.575 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
15.575 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
15.575 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
15.575 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
15.575 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
15.575 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.575 * [taylor]: Taking taylor expansion of re in re
15.575 * [backup-simplify]: Simplify 0 into 0
15.575 * [backup-simplify]: Simplify 1 into 1
15.575 * [backup-simplify]: Simplify (/ 1 1) into 1
15.575 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.576 * [taylor]: Taking taylor expansion of re in re
15.576 * [backup-simplify]: Simplify 0 into 0
15.576 * [backup-simplify]: Simplify 1 into 1
15.576 * [backup-simplify]: Simplify (/ 1 1) into 1
15.576 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
15.576 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.576 * [taylor]: Taking taylor expansion of im in re
15.576 * [backup-simplify]: Simplify im into im
15.576 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.576 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.576 * [taylor]: Taking taylor expansion of im in re
15.576 * [backup-simplify]: Simplify im into im
15.576 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.576 * [backup-simplify]: Simplify (* 1 1) into 1
15.577 * [backup-simplify]: Simplify (+ 1 0) into 1
15.577 * [backup-simplify]: Simplify (sqrt 1) into 1
15.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.579 * [backup-simplify]: Simplify (+ 0 0) into 0
15.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.580 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.580 * [taylor]: Taking taylor expansion of re in re
15.580 * [backup-simplify]: Simplify 0 into 0
15.580 * [backup-simplify]: Simplify 1 into 1
15.580 * [backup-simplify]: Simplify (/ 1 1) into 1
15.581 * [backup-simplify]: Simplify (+ 1 1) into 2
15.581 * [taylor]: Taking taylor expansion of 2 in im
15.581 * [backup-simplify]: Simplify 2 into 2
15.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.582 * [backup-simplify]: Simplify (+ 0 0) into 0
15.582 * [taylor]: Taking taylor expansion of 0 in im
15.582 * [backup-simplify]: Simplify 0 into 0
15.582 * [backup-simplify]: Simplify 2 into 2
15.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.585 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
15.585 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
15.586 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
15.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.587 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
15.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
15.587 * [taylor]: Taking taylor expansion of 1/2 in im
15.587 * [backup-simplify]: Simplify 1/2 into 1/2
15.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
15.588 * [taylor]: Taking taylor expansion of (pow im 2) in im
15.588 * [taylor]: Taking taylor expansion of im in im
15.588 * [backup-simplify]: Simplify 0 into 0
15.588 * [backup-simplify]: Simplify 1 into 1
15.588 * [backup-simplify]: Simplify (* 1 1) into 1
15.588 * [backup-simplify]: Simplify (/ 1 1) into 1
15.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
15.590 * [backup-simplify]: Simplify 0 into 0
15.590 * [backup-simplify]: Simplify 0 into 0
15.591 * [backup-simplify]: Simplify 0 into 0
15.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
15.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
15.594 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
15.594 * [backup-simplify]: Simplify (+ 0 0) into 0
15.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
15.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.596 * [backup-simplify]: Simplify (+ 0 0) into 0
15.596 * [taylor]: Taking taylor expansion of 0 in im
15.596 * [backup-simplify]: Simplify 0 into 0
15.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
15.599 * [backup-simplify]: Simplify 0 into 0
15.599 * [backup-simplify]: Simplify 0 into 0
15.599 * [backup-simplify]: Simplify 0 into 0
15.599 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
15.600 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
15.600 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
15.600 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
15.600 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
15.600 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
15.600 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
15.600 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
15.600 * [taylor]: Taking taylor expansion of (/ -1 re) in im
15.600 * [taylor]: Taking taylor expansion of -1 in im
15.600 * [backup-simplify]: Simplify -1 into -1
15.600 * [taylor]: Taking taylor expansion of re in im
15.600 * [backup-simplify]: Simplify re into re
15.600 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
15.600 * [taylor]: Taking taylor expansion of (/ -1 re) in im
15.600 * [taylor]: Taking taylor expansion of -1 in im
15.600 * [backup-simplify]: Simplify -1 into -1
15.600 * [taylor]: Taking taylor expansion of re in im
15.600 * [backup-simplify]: Simplify re into re
15.600 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
15.600 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
15.601 * [taylor]: Taking taylor expansion of (/ -1 im) in im
15.601 * [taylor]: Taking taylor expansion of -1 in im
15.601 * [backup-simplify]: Simplify -1 into -1
15.601 * [taylor]: Taking taylor expansion of im in im
15.601 * [backup-simplify]: Simplify 0 into 0
15.601 * [backup-simplify]: Simplify 1 into 1
15.601 * [backup-simplify]: Simplify (/ -1 1) into -1
15.601 * [taylor]: Taking taylor expansion of (/ -1 im) in im
15.601 * [taylor]: Taking taylor expansion of -1 in im
15.601 * [backup-simplify]: Simplify -1 into -1
15.601 * [taylor]: Taking taylor expansion of im in im
15.601 * [backup-simplify]: Simplify 0 into 0
15.601 * [backup-simplify]: Simplify 1 into 1
15.602 * [backup-simplify]: Simplify (/ -1 1) into -1
15.602 * [backup-simplify]: Simplify (* -1 -1) into 1
15.603 * [backup-simplify]: Simplify (+ 0 1) into 1
15.603 * [backup-simplify]: Simplify (sqrt 1) into 1
15.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.605 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
15.605 * [backup-simplify]: Simplify (+ 0 0) into 0
15.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.606 * [taylor]: Taking taylor expansion of (/ 1 re) in im
15.606 * [taylor]: Taking taylor expansion of re in im
15.606 * [backup-simplify]: Simplify re into re
15.606 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
15.606 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
15.606 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
15.606 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
15.607 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
15.607 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
15.607 * [taylor]: Taking taylor expansion of (/ -1 re) in re
15.607 * [taylor]: Taking taylor expansion of -1 in re
15.607 * [backup-simplify]: Simplify -1 into -1
15.607 * [taylor]: Taking taylor expansion of re in re
15.607 * [backup-simplify]: Simplify 0 into 0
15.607 * [backup-simplify]: Simplify 1 into 1
15.607 * [backup-simplify]: Simplify (/ -1 1) into -1
15.607 * [taylor]: Taking taylor expansion of (/ -1 re) in re
15.607 * [taylor]: Taking taylor expansion of -1 in re
15.607 * [backup-simplify]: Simplify -1 into -1
15.607 * [taylor]: Taking taylor expansion of re in re
15.607 * [backup-simplify]: Simplify 0 into 0
15.607 * [backup-simplify]: Simplify 1 into 1
15.608 * [backup-simplify]: Simplify (/ -1 1) into -1
15.608 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
15.608 * [taylor]: Taking taylor expansion of (/ -1 im) in re
15.608 * [taylor]: Taking taylor expansion of -1 in re
15.608 * [backup-simplify]: Simplify -1 into -1
15.608 * [taylor]: Taking taylor expansion of im in re
15.608 * [backup-simplify]: Simplify im into im
15.608 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
15.608 * [taylor]: Taking taylor expansion of (/ -1 im) in re
15.608 * [taylor]: Taking taylor expansion of -1 in re
15.608 * [backup-simplify]: Simplify -1 into -1
15.608 * [taylor]: Taking taylor expansion of im in re
15.608 * [backup-simplify]: Simplify im into im
15.608 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
15.609 * [backup-simplify]: Simplify (* -1 -1) into 1
15.609 * [backup-simplify]: Simplify (+ 1 0) into 1
15.609 * [backup-simplify]: Simplify (sqrt 1) into 1
15.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.612 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
15.612 * [backup-simplify]: Simplify (+ 0 0) into 0
15.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.613 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.613 * [taylor]: Taking taylor expansion of re in re
15.613 * [backup-simplify]: Simplify 0 into 0
15.613 * [backup-simplify]: Simplify 1 into 1
15.614 * [backup-simplify]: Simplify (/ 1 1) into 1
15.614 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
15.614 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
15.614 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
15.614 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
15.614 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
15.614 * [taylor]: Taking taylor expansion of (/ -1 re) in re
15.614 * [taylor]: Taking taylor expansion of -1 in re
15.614 * [backup-simplify]: Simplify -1 into -1
15.614 * [taylor]: Taking taylor expansion of re in re
15.614 * [backup-simplify]: Simplify 0 into 0
15.614 * [backup-simplify]: Simplify 1 into 1
15.615 * [backup-simplify]: Simplify (/ -1 1) into -1
15.615 * [taylor]: Taking taylor expansion of (/ -1 re) in re
15.615 * [taylor]: Taking taylor expansion of -1 in re
15.615 * [backup-simplify]: Simplify -1 into -1
15.615 * [taylor]: Taking taylor expansion of re in re
15.615 * [backup-simplify]: Simplify 0 into 0
15.615 * [backup-simplify]: Simplify 1 into 1
15.615 * [backup-simplify]: Simplify (/ -1 1) into -1
15.615 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
15.615 * [taylor]: Taking taylor expansion of (/ -1 im) in re
15.615 * [taylor]: Taking taylor expansion of -1 in re
15.615 * [backup-simplify]: Simplify -1 into -1
15.615 * [taylor]: Taking taylor expansion of im in re
15.615 * [backup-simplify]: Simplify im into im
15.615 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
15.615 * [taylor]: Taking taylor expansion of (/ -1 im) in re
15.616 * [taylor]: Taking taylor expansion of -1 in re
15.616 * [backup-simplify]: Simplify -1 into -1
15.616 * [taylor]: Taking taylor expansion of im in re
15.616 * [backup-simplify]: Simplify im into im
15.616 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
15.616 * [backup-simplify]: Simplify (* -1 -1) into 1
15.616 * [backup-simplify]: Simplify (+ 1 0) into 1
15.617 * [backup-simplify]: Simplify (sqrt 1) into 1
15.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.619 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
15.620 * [backup-simplify]: Simplify (+ 0 0) into 0
15.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.620 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.620 * [taylor]: Taking taylor expansion of re in re
15.620 * [backup-simplify]: Simplify 0 into 0
15.620 * [backup-simplify]: Simplify 1 into 1
15.621 * [backup-simplify]: Simplify (/ 1 1) into 1
15.621 * [backup-simplify]: Simplify (- 1) into -1
15.622 * [backup-simplify]: Simplify (+ 1 -1) into 0
15.622 * [taylor]: Taking taylor expansion of 0 in im
15.622 * [backup-simplify]: Simplify 0 into 0
15.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.623 * [backup-simplify]: Simplify (- 0) into 0
15.623 * [backup-simplify]: Simplify (+ 0 0) into 0
15.623 * [taylor]: Taking taylor expansion of 0 in im
15.623 * [backup-simplify]: Simplify 0 into 0
15.623 * [backup-simplify]: Simplify 0 into 0
15.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
15.627 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
15.627 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
15.628 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
15.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.630 * [backup-simplify]: Simplify (- 0) into 0
15.630 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
15.630 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
15.630 * [taylor]: Taking taylor expansion of 1/2 in im
15.630 * [backup-simplify]: Simplify 1/2 into 1/2
15.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
15.630 * [taylor]: Taking taylor expansion of (pow im 2) in im
15.630 * [taylor]: Taking taylor expansion of im in im
15.630 * [backup-simplify]: Simplify 0 into 0
15.630 * [backup-simplify]: Simplify 1 into 1
15.630 * [backup-simplify]: Simplify (* 1 1) into 1
15.631 * [backup-simplify]: Simplify (/ 1 1) into 1
15.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
15.633 * [backup-simplify]: Simplify 0 into 0
15.633 * [backup-simplify]: Simplify 0 into 0
15.634 * [backup-simplify]: Simplify 0 into 0
15.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.637 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
15.637 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
15.637 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
15.637 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
15.638 * [backup-simplify]: Simplify (+ 0 0) into 0
15.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
15.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.640 * [backup-simplify]: Simplify (- 0) into 0
15.640 * [backup-simplify]: Simplify (+ 0 0) into 0
15.640 * [taylor]: Taking taylor expansion of 0 in im
15.640 * [backup-simplify]: Simplify 0 into 0
15.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
15.643 * [backup-simplify]: Simplify 0 into 0
15.643 * [backup-simplify]: Simplify 0 into 0
15.643 * [backup-simplify]: Simplify 0 into 0
15.644 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
15.644 * [backup-simplify]: Simplify (sqrt (* (+ re (hypot re im)) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
15.644 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
15.644 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
15.644 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
15.644 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
15.644 * [taylor]: Taking taylor expansion of re in im
15.644 * [backup-simplify]: Simplify re into re
15.644 * [taylor]: Taking taylor expansion of (hypot re im) in im
15.644 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
15.644 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
15.644 * [taylor]: Taking taylor expansion of (* re re) in im
15.644 * [taylor]: Taking taylor expansion of re in im
15.644 * [backup-simplify]: Simplify re into re
15.644 * [taylor]: Taking taylor expansion of re in im
15.644 * [backup-simplify]: Simplify re into re
15.645 * [taylor]: Taking taylor expansion of (* im im) in im
15.645 * [taylor]: Taking taylor expansion of im in im
15.645 * [backup-simplify]: Simplify 0 into 0
15.645 * [backup-simplify]: Simplify 1 into 1
15.645 * [taylor]: Taking taylor expansion of im in im
15.645 * [backup-simplify]: Simplify 0 into 0
15.645 * [backup-simplify]: Simplify 1 into 1
15.645 * [backup-simplify]: Simplify (* re re) into (pow re 2)
15.645 * [backup-simplify]: Simplify (* 0 0) into 0
15.645 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
15.646 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
15.646 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
15.646 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.647 * [backup-simplify]: Simplify (+ 0 0) into 0
15.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
15.647 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
15.647 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
15.648 * [backup-simplify]: Simplify (+ 0 0) into 0
15.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
15.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.648 * [taylor]: Taking taylor expansion of 2.0 in im
15.648 * [backup-simplify]: Simplify 2.0 into 2.0
15.648 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.649 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
15.649 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
15.649 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
15.649 * [taylor]: Taking taylor expansion of re in re
15.649 * [backup-simplify]: Simplify 0 into 0
15.649 * [backup-simplify]: Simplify 1 into 1
15.649 * [taylor]: Taking taylor expansion of (hypot re im) in re
15.649 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
15.649 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
15.649 * [taylor]: Taking taylor expansion of (* re re) in re
15.649 * [taylor]: Taking taylor expansion of re in re
15.649 * [backup-simplify]: Simplify 0 into 0
15.650 * [backup-simplify]: Simplify 1 into 1
15.650 * [taylor]: Taking taylor expansion of re in re
15.650 * [backup-simplify]: Simplify 0 into 0
15.650 * [backup-simplify]: Simplify 1 into 1
15.650 * [taylor]: Taking taylor expansion of (* im im) in re
15.650 * [taylor]: Taking taylor expansion of im in re
15.650 * [backup-simplify]: Simplify im into im
15.650 * [taylor]: Taking taylor expansion of im in re
15.650 * [backup-simplify]: Simplify im into im
15.650 * [backup-simplify]: Simplify (* 0 0) into 0
15.650 * [backup-simplify]: Simplify (* im im) into (pow im 2)
15.650 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
15.651 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
15.651 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.651 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
15.652 * [backup-simplify]: Simplify (+ 0 0) into 0
15.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
15.652 * [backup-simplify]: Simplify (+ 0 im) into im
15.652 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
15.653 * [backup-simplify]: Simplify (+ 1 0) into 1
15.653 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
15.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
15.653 * [taylor]: Taking taylor expansion of 2.0 in re
15.653 * [backup-simplify]: Simplify 2.0 into 2.0
15.653 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.654 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
15.654 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
15.654 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
15.654 * [taylor]: Taking taylor expansion of re in re
15.654 * [backup-simplify]: Simplify 0 into 0
15.654 * [backup-simplify]: Simplify 1 into 1
15.654 * [taylor]: Taking taylor expansion of (hypot re im) in re
15.654 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
15.654 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
15.654 * [taylor]: Taking taylor expansion of (* re re) in re
15.654 * [taylor]: Taking taylor expansion of re in re
15.654 * [backup-simplify]: Simplify 0 into 0
15.655 * [backup-simplify]: Simplify 1 into 1
15.655 * [taylor]: Taking taylor expansion of re in re
15.655 * [backup-simplify]: Simplify 0 into 0
15.655 * [backup-simplify]: Simplify 1 into 1
15.655 * [taylor]: Taking taylor expansion of (* im im) in re
15.655 * [taylor]: Taking taylor expansion of im in re
15.655 * [backup-simplify]: Simplify im into im
15.655 * [taylor]: Taking taylor expansion of im in re
15.655 * [backup-simplify]: Simplify im into im
15.655 * [backup-simplify]: Simplify (* 0 0) into 0
15.655 * [backup-simplify]: Simplify (* im im) into (pow im 2)
15.655 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
15.656 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
15.656 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.656 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
15.657 * [backup-simplify]: Simplify (+ 0 0) into 0
15.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
15.657 * [backup-simplify]: Simplify (+ 0 im) into im
15.657 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
15.657 * [backup-simplify]: Simplify (+ 1 0) into 1
15.658 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
15.658 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
15.658 * [taylor]: Taking taylor expansion of 2.0 in re
15.658 * [backup-simplify]: Simplify 2.0 into 2.0
15.658 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.659 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
15.659 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
15.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.659 * [taylor]: Taking taylor expansion of 2.0 in im
15.659 * [backup-simplify]: Simplify 2.0 into 2.0
15.660 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.660 * [taylor]: Taking taylor expansion of (sqrt im) in im
15.660 * [taylor]: Taking taylor expansion of im in im
15.660 * [backup-simplify]: Simplify 0 into 0
15.660 * [backup-simplify]: Simplify 1 into 1
15.660 * [backup-simplify]: Simplify (sqrt 0) into 0
15.663 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.663 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
15.663 * [backup-simplify]: Simplify 0 into 0
15.664 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
15.664 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
15.664 * [taylor]: Taking taylor expansion of 1/2 in im
15.664 * [backup-simplify]: Simplify 1/2 into 1/2
15.664 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
15.664 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.664 * [taylor]: Taking taylor expansion of 2.0 in im
15.664 * [backup-simplify]: Simplify 2.0 into 2.0
15.664 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
15.665 * [taylor]: Taking taylor expansion of (/ 1 im) in im
15.665 * [taylor]: Taking taylor expansion of im in im
15.665 * [backup-simplify]: Simplify 0 into 0
15.665 * [backup-simplify]: Simplify 1 into 1
15.665 * [backup-simplify]: Simplify (/ 1 1) into 1
15.665 * [backup-simplify]: Simplify (sqrt 0) into 0
15.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.668 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
15.668 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
15.670 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
15.671 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
15.673 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
15.674 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
15.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
15.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.675 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
15.675 * [backup-simplify]: Simplify (+ 1 0) into 1
15.676 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
15.676 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
15.676 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
15.677 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
15.677 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
15.677 * [taylor]: Taking taylor expansion of 1/8 in im
15.677 * [backup-simplify]: Simplify 1/8 into 1/8
15.677 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
15.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.677 * [taylor]: Taking taylor expansion of 2.0 in im
15.677 * [backup-simplify]: Simplify 2.0 into 2.0
15.677 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
15.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
15.678 * [taylor]: Taking taylor expansion of (pow im 3) in im
15.678 * [taylor]: Taking taylor expansion of im in im
15.678 * [backup-simplify]: Simplify 0 into 0
15.678 * [backup-simplify]: Simplify 1 into 1
15.678 * [backup-simplify]: Simplify (* 1 1) into 1
15.678 * [backup-simplify]: Simplify (* 1 1) into 1
15.679 * [backup-simplify]: Simplify (/ 1 1) into 1
15.679 * [backup-simplify]: Simplify (sqrt 0) into 0
15.680 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.683 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.684 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
15.685 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
15.687 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
15.693 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
15.698 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
15.699 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
15.704 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
15.705 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
15.705 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
15.705 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
15.705 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
15.705 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
15.705 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
15.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
15.705 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
15.705 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
15.705 * [taylor]: Taking taylor expansion of (/ 1 re) in im
15.705 * [taylor]: Taking taylor expansion of re in im
15.705 * [backup-simplify]: Simplify re into re
15.705 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
15.705 * [taylor]: Taking taylor expansion of (/ 1 re) in im
15.705 * [taylor]: Taking taylor expansion of re in im
15.705 * [backup-simplify]: Simplify re into re
15.705 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
15.705 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
15.705 * [taylor]: Taking taylor expansion of (/ 1 im) in im
15.705 * [taylor]: Taking taylor expansion of im in im
15.705 * [backup-simplify]: Simplify 0 into 0
15.706 * [backup-simplify]: Simplify 1 into 1
15.706 * [backup-simplify]: Simplify (/ 1 1) into 1
15.706 * [taylor]: Taking taylor expansion of (/ 1 im) in im
15.706 * [taylor]: Taking taylor expansion of im in im
15.706 * [backup-simplify]: Simplify 0 into 0
15.706 * [backup-simplify]: Simplify 1 into 1
15.707 * [backup-simplify]: Simplify (/ 1 1) into 1
15.707 * [backup-simplify]: Simplify (* 1 1) into 1
15.707 * [backup-simplify]: Simplify (+ 0 1) into 1
15.708 * [backup-simplify]: Simplify (sqrt 1) into 1
15.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.711 * [backup-simplify]: Simplify (+ 0 0) into 0
15.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im
15.713 * [taylor]: Taking taylor expansion of re in im
15.713 * [backup-simplify]: Simplify re into re
15.713 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
15.713 * [backup-simplify]: Simplify (+ 1 0) into 1
15.714 * [backup-simplify]: Simplify (sqrt 0) into 0
15.715 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.715 * [taylor]: Taking taylor expansion of 2.0 in im
15.715 * [backup-simplify]: Simplify 2.0 into 2.0
15.716 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.717 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
15.717 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
15.717 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
15.717 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
15.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
15.717 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
15.717 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
15.717 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.717 * [taylor]: Taking taylor expansion of re in re
15.717 * [backup-simplify]: Simplify 0 into 0
15.717 * [backup-simplify]: Simplify 1 into 1
15.718 * [backup-simplify]: Simplify (/ 1 1) into 1
15.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.718 * [taylor]: Taking taylor expansion of re in re
15.718 * [backup-simplify]: Simplify 0 into 0
15.718 * [backup-simplify]: Simplify 1 into 1
15.718 * [backup-simplify]: Simplify (/ 1 1) into 1
15.718 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
15.718 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.718 * [taylor]: Taking taylor expansion of im in re
15.718 * [backup-simplify]: Simplify im into im
15.718 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.718 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.718 * [taylor]: Taking taylor expansion of im in re
15.718 * [backup-simplify]: Simplify im into im
15.718 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.719 * [backup-simplify]: Simplify (* 1 1) into 1
15.719 * [backup-simplify]: Simplify (+ 1 0) into 1
15.720 * [backup-simplify]: Simplify (sqrt 1) into 1
15.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.722 * [backup-simplify]: Simplify (+ 0 0) into 0
15.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.723 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.723 * [taylor]: Taking taylor expansion of re in re
15.723 * [backup-simplify]: Simplify 0 into 0
15.723 * [backup-simplify]: Simplify 1 into 1
15.724 * [backup-simplify]: Simplify (/ 1 1) into 1
15.724 * [backup-simplify]: Simplify (+ 1 1) into 2
15.724 * [backup-simplify]: Simplify (sqrt 0) into 0
15.726 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
15.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
15.726 * [taylor]: Taking taylor expansion of 2.0 in re
15.726 * [backup-simplify]: Simplify 2.0 into 2.0
15.726 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.727 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
15.727 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
15.727 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
15.727 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
15.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
15.727 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
15.727 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
15.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.727 * [taylor]: Taking taylor expansion of re in re
15.727 * [backup-simplify]: Simplify 0 into 0
15.727 * [backup-simplify]: Simplify 1 into 1
15.728 * [backup-simplify]: Simplify (/ 1 1) into 1
15.728 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.728 * [taylor]: Taking taylor expansion of re in re
15.728 * [backup-simplify]: Simplify 0 into 0
15.728 * [backup-simplify]: Simplify 1 into 1
15.728 * [backup-simplify]: Simplify (/ 1 1) into 1
15.728 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
15.728 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.728 * [taylor]: Taking taylor expansion of im in re
15.728 * [backup-simplify]: Simplify im into im
15.729 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.729 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.729 * [taylor]: Taking taylor expansion of im in re
15.729 * [backup-simplify]: Simplify im into im
15.729 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.729 * [backup-simplify]: Simplify (* 1 1) into 1
15.729 * [backup-simplify]: Simplify (+ 1 0) into 1
15.730 * [backup-simplify]: Simplify (sqrt 1) into 1
15.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.733 * [backup-simplify]: Simplify (+ 0 0) into 0
15.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.733 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.733 * [taylor]: Taking taylor expansion of re in re
15.733 * [backup-simplify]: Simplify 0 into 0
15.733 * [backup-simplify]: Simplify 1 into 1
15.734 * [backup-simplify]: Simplify (/ 1 1) into 1
15.734 * [backup-simplify]: Simplify (+ 1 1) into 2
15.734 * [backup-simplify]: Simplify (sqrt 0) into 0
15.736 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
15.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
15.736 * [taylor]: Taking taylor expansion of 2.0 in re
15.736 * [backup-simplify]: Simplify 2.0 into 2.0
15.736 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.738 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
15.738 * [taylor]: Taking taylor expansion of 0 in im
15.738 * [backup-simplify]: Simplify 0 into 0
15.740 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
15.740 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
15.740 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
15.740 * [taylor]: Taking taylor expansion of +nan.0 in im
15.740 * [backup-simplify]: Simplify +nan.0 into +nan.0
15.740 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.740 * [taylor]: Taking taylor expansion of 2.0 in im
15.740 * [backup-simplify]: Simplify 2.0 into 2.0
15.740 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.741 * [backup-simplify]: Simplify 0 into 0
15.742 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
15.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.744 * [backup-simplify]: Simplify (+ 0 0) into 0
15.747 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
15.750 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
15.750 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
15.750 * [taylor]: Taking taylor expansion of +nan.0 in im
15.750 * [backup-simplify]: Simplify +nan.0 into +nan.0
15.750 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.750 * [taylor]: Taking taylor expansion of 2.0 in im
15.751 * [backup-simplify]: Simplify 2.0 into 2.0
15.751 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.753 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
15.754 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
15.756 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
15.756 * [backup-simplify]: Simplify 0 into 0
15.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
15.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.760 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
15.760 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
15.762 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
15.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.763 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
15.765 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
15.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
15.767 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
15.767 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
15.768 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
15.768 * [taylor]: Taking taylor expansion of +nan.0 in im
15.768 * [backup-simplify]: Simplify +nan.0 into +nan.0
15.768 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
15.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.768 * [taylor]: Taking taylor expansion of 2.0 in im
15.768 * [backup-simplify]: Simplify 2.0 into 2.0
15.768 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.769 * [taylor]: Taking taylor expansion of (pow im 2) in im
15.769 * [taylor]: Taking taylor expansion of im in im
15.769 * [backup-simplify]: Simplify 0 into 0
15.769 * [backup-simplify]: Simplify 1 into 1
15.769 * [backup-simplify]: Simplify (* 1 1) into 1
15.770 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
15.770 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
15.770 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
15.770 * [taylor]: Taking taylor expansion of +nan.0 in im
15.770 * [backup-simplify]: Simplify +nan.0 into +nan.0
15.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.771 * [taylor]: Taking taylor expansion of 2.0 in im
15.771 * [backup-simplify]: Simplify 2.0 into 2.0
15.771 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
15.774 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
15.775 * [backup-simplify]: Simplify (+ 0 0) into 0
15.775 * [backup-simplify]: Simplify (- 0) into 0
15.775 * [backup-simplify]: Simplify 0 into 0
15.776 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
15.778 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
15.779 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
15.780 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
15.780 * [backup-simplify]: Simplify (- 0) into 0
15.780 * [backup-simplify]: Simplify 0 into 0
15.780 * [backup-simplify]: Simplify 0 into 0
15.782 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
15.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
15.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
15.785 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
15.786 * [backup-simplify]: Simplify (+ 0 0) into 0
15.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
15.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.788 * [backup-simplify]: Simplify (+ 0 0) into 0
15.789 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
15.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
15.793 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
15.793 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
15.793 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
15.793 * [taylor]: Taking taylor expansion of +nan.0 in im
15.793 * [backup-simplify]: Simplify +nan.0 into +nan.0
15.793 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
15.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.793 * [taylor]: Taking taylor expansion of 2.0 in im
15.793 * [backup-simplify]: Simplify 2.0 into 2.0
15.793 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.794 * [taylor]: Taking taylor expansion of (pow im 2) in im
15.794 * [taylor]: Taking taylor expansion of im in im
15.794 * [backup-simplify]: Simplify 0 into 0
15.794 * [backup-simplify]: Simplify 1 into 1
15.795 * [backup-simplify]: Simplify (* 1 1) into 1
15.796 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
15.796 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
15.796 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
15.796 * [taylor]: Taking taylor expansion of +nan.0 in im
15.796 * [backup-simplify]: Simplify +nan.0 into +nan.0
15.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.796 * [taylor]: Taking taylor expansion of 2.0 in im
15.796 * [backup-simplify]: Simplify 2.0 into 2.0
15.797 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
15.800 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
15.800 * [backup-simplify]: Simplify (+ 0 0) into 0
15.801 * [backup-simplify]: Simplify (- 0) into 0
15.801 * [backup-simplify]: Simplify 0 into 0
15.802 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
15.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.806 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
15.807 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
15.808 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
15.811 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
15.813 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
15.815 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
15.821 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
15.821 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
15.821 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
15.821 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
15.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.821 * [taylor]: Taking taylor expansion of 2.0 in im
15.821 * [backup-simplify]: Simplify 2.0 into 2.0
15.822 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.823 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
15.823 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
15.823 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
15.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
15.824 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
15.824 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
15.824 * [taylor]: Taking taylor expansion of (/ -1 re) in im
15.824 * [taylor]: Taking taylor expansion of -1 in im
15.824 * [backup-simplify]: Simplify -1 into -1
15.824 * [taylor]: Taking taylor expansion of re in im
15.824 * [backup-simplify]: Simplify re into re
15.824 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
15.824 * [taylor]: Taking taylor expansion of (/ -1 re) in im
15.824 * [taylor]: Taking taylor expansion of -1 in im
15.824 * [backup-simplify]: Simplify -1 into -1
15.824 * [taylor]: Taking taylor expansion of re in im
15.824 * [backup-simplify]: Simplify re into re
15.824 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
15.824 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
15.824 * [taylor]: Taking taylor expansion of (/ -1 im) in im
15.824 * [taylor]: Taking taylor expansion of -1 in im
15.824 * [backup-simplify]: Simplify -1 into -1
15.824 * [taylor]: Taking taylor expansion of im in im
15.824 * [backup-simplify]: Simplify 0 into 0
15.825 * [backup-simplify]: Simplify 1 into 1
15.825 * [backup-simplify]: Simplify (/ -1 1) into -1
15.825 * [taylor]: Taking taylor expansion of (/ -1 im) in im
15.825 * [taylor]: Taking taylor expansion of -1 in im
15.825 * [backup-simplify]: Simplify -1 into -1
15.825 * [taylor]: Taking taylor expansion of im in im
15.825 * [backup-simplify]: Simplify 0 into 0
15.825 * [backup-simplify]: Simplify 1 into 1
15.826 * [backup-simplify]: Simplify (/ -1 1) into -1
15.826 * [backup-simplify]: Simplify (* -1 -1) into 1
15.827 * [backup-simplify]: Simplify (+ 0 1) into 1
15.827 * [backup-simplify]: Simplify (sqrt 1) into 1
15.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.830 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
15.830 * [backup-simplify]: Simplify (+ 0 0) into 0
15.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.831 * [taylor]: Taking taylor expansion of (/ 1 re) in im
15.831 * [taylor]: Taking taylor expansion of re in im
15.831 * [backup-simplify]: Simplify re into re
15.831 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
15.832 * [backup-simplify]: Simplify (+ 1 0) into 1
15.832 * [backup-simplify]: Simplify (sqrt 0) into 0
15.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.834 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
15.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
15.834 * [taylor]: Taking taylor expansion of 2.0 in re
15.834 * [backup-simplify]: Simplify 2.0 into 2.0
15.834 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.835 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
15.835 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
15.835 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
15.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
15.835 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
15.835 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
15.835 * [taylor]: Taking taylor expansion of (/ -1 re) in re
15.835 * [taylor]: Taking taylor expansion of -1 in re
15.835 * [backup-simplify]: Simplify -1 into -1
15.835 * [taylor]: Taking taylor expansion of re in re
15.836 * [backup-simplify]: Simplify 0 into 0
15.836 * [backup-simplify]: Simplify 1 into 1
15.836 * [backup-simplify]: Simplify (/ -1 1) into -1
15.836 * [taylor]: Taking taylor expansion of (/ -1 re) in re
15.836 * [taylor]: Taking taylor expansion of -1 in re
15.836 * [backup-simplify]: Simplify -1 into -1
15.836 * [taylor]: Taking taylor expansion of re in re
15.836 * [backup-simplify]: Simplify 0 into 0
15.836 * [backup-simplify]: Simplify 1 into 1
15.837 * [backup-simplify]: Simplify (/ -1 1) into -1
15.837 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
15.837 * [taylor]: Taking taylor expansion of (/ -1 im) in re
15.837 * [taylor]: Taking taylor expansion of -1 in re
15.837 * [backup-simplify]: Simplify -1 into -1
15.837 * [taylor]: Taking taylor expansion of im in re
15.837 * [backup-simplify]: Simplify im into im
15.837 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
15.837 * [taylor]: Taking taylor expansion of (/ -1 im) in re
15.837 * [taylor]: Taking taylor expansion of -1 in re
15.837 * [backup-simplify]: Simplify -1 into -1
15.837 * [taylor]: Taking taylor expansion of im in re
15.837 * [backup-simplify]: Simplify im into im
15.837 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
15.837 * [backup-simplify]: Simplify (* -1 -1) into 1
15.838 * [backup-simplify]: Simplify (+ 1 0) into 1
15.838 * [backup-simplify]: Simplify (sqrt 1) into 1
15.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.841 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
15.841 * [backup-simplify]: Simplify (+ 0 0) into 0
15.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.842 * [taylor]: Taking taylor expansion of re in re
15.842 * [backup-simplify]: Simplify 0 into 0
15.842 * [backup-simplify]: Simplify 1 into 1
15.842 * [backup-simplify]: Simplify (/ 1 1) into 1
15.843 * [backup-simplify]: Simplify (- 1) into -1
15.843 * [backup-simplify]: Simplify (+ 1 -1) into 0
15.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.844 * [backup-simplify]: Simplify (- 0) into 0
15.845 * [backup-simplify]: Simplify (+ 0 0) into 0
15.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.855 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
15.856 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
15.856 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
15.858 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
15.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.859 * [backup-simplify]: Simplify (- 0) into 0
15.859 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
15.860 * [backup-simplify]: Simplify (sqrt 0) into 0
15.861 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
15.861 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
15.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
15.861 * [taylor]: Taking taylor expansion of 2.0 in re
15.861 * [backup-simplify]: Simplify 2.0 into 2.0
15.861 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.862 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
15.862 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
15.862 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
15.862 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
15.862 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
15.862 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
15.862 * [taylor]: Taking taylor expansion of (/ -1 re) in re
15.862 * [taylor]: Taking taylor expansion of -1 in re
15.862 * [backup-simplify]: Simplify -1 into -1
15.862 * [taylor]: Taking taylor expansion of re in re
15.863 * [backup-simplify]: Simplify 0 into 0
15.863 * [backup-simplify]: Simplify 1 into 1
15.863 * [backup-simplify]: Simplify (/ -1 1) into -1
15.863 * [taylor]: Taking taylor expansion of (/ -1 re) in re
15.863 * [taylor]: Taking taylor expansion of -1 in re
15.863 * [backup-simplify]: Simplify -1 into -1
15.863 * [taylor]: Taking taylor expansion of re in re
15.863 * [backup-simplify]: Simplify 0 into 0
15.863 * [backup-simplify]: Simplify 1 into 1
15.863 * [backup-simplify]: Simplify (/ -1 1) into -1
15.863 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
15.863 * [taylor]: Taking taylor expansion of (/ -1 im) in re
15.863 * [taylor]: Taking taylor expansion of -1 in re
15.863 * [backup-simplify]: Simplify -1 into -1
15.863 * [taylor]: Taking taylor expansion of im in re
15.863 * [backup-simplify]: Simplify im into im
15.863 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
15.864 * [taylor]: Taking taylor expansion of (/ -1 im) in re
15.864 * [taylor]: Taking taylor expansion of -1 in re
15.864 * [backup-simplify]: Simplify -1 into -1
15.864 * [taylor]: Taking taylor expansion of im in re
15.864 * [backup-simplify]: Simplify im into im
15.864 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
15.864 * [backup-simplify]: Simplify (* -1 -1) into 1
15.864 * [backup-simplify]: Simplify (+ 1 0) into 1
15.864 * [backup-simplify]: Simplify (sqrt 1) into 1
15.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.866 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
15.866 * [backup-simplify]: Simplify (+ 0 0) into 0
15.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.866 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.866 * [taylor]: Taking taylor expansion of re in re
15.866 * [backup-simplify]: Simplify 0 into 0
15.866 * [backup-simplify]: Simplify 1 into 1
15.867 * [backup-simplify]: Simplify (/ 1 1) into 1
15.867 * [backup-simplify]: Simplify (- 1) into -1
15.867 * [backup-simplify]: Simplify (+ 1 -1) into 0
15.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.868 * [backup-simplify]: Simplify (- 0) into 0
15.868 * [backup-simplify]: Simplify (+ 0 0) into 0
15.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
15.870 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
15.870 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
15.871 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
15.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.871 * [backup-simplify]: Simplify (- 0) into 0
15.871 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
15.872 * [backup-simplify]: Simplify (sqrt 0) into 0
15.872 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
15.873 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
15.873 * [taylor]: Taking taylor expansion of 0 in im
15.873 * [backup-simplify]: Simplify 0 into 0
15.873 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
15.873 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
15.873 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
15.873 * [taylor]: Taking taylor expansion of +nan.0 in im
15.873 * [backup-simplify]: Simplify +nan.0 into +nan.0
15.873 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
15.873 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.873 * [taylor]: Taking taylor expansion of 2.0 in im
15.873 * [backup-simplify]: Simplify 2.0 into 2.0
15.874 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.874 * [taylor]: Taking taylor expansion of (pow im 2) in im
15.874 * [taylor]: Taking taylor expansion of im in im
15.874 * [backup-simplify]: Simplify 0 into 0
15.874 * [backup-simplify]: Simplify 1 into 1
15.874 * [backup-simplify]: Simplify (* 1 1) into 1
15.875 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
15.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
15.876 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
15.877 * [backup-simplify]: Simplify (- 0) into 0
15.877 * [backup-simplify]: Simplify 0 into 0
15.877 * [backup-simplify]: Simplify 0 into 0
15.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.878 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
15.879 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
15.879 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
15.879 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
15.879 * [backup-simplify]: Simplify (+ 0 0) into 0
15.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
15.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.880 * [backup-simplify]: Simplify (- 0) into 0
15.880 * [backup-simplify]: Simplify (+ 0 0) into 0
15.881 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
15.882 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
15.882 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
15.882 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
15.882 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
15.882 * [taylor]: Taking taylor expansion of +nan.0 in im
15.883 * [backup-simplify]: Simplify +nan.0 into +nan.0
15.883 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
15.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.883 * [taylor]: Taking taylor expansion of 2.0 in im
15.883 * [backup-simplify]: Simplify 2.0 into 2.0
15.883 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.883 * [taylor]: Taking taylor expansion of (pow im 4) in im
15.883 * [taylor]: Taking taylor expansion of im in im
15.883 * [backup-simplify]: Simplify 0 into 0
15.883 * [backup-simplify]: Simplify 1 into 1
15.884 * [backup-simplify]: Simplify (* 1 1) into 1
15.884 * [backup-simplify]: Simplify (* 1 1) into 1
15.884 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
15.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
15.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
15.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
15.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.891 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
15.891 * [backup-simplify]: Simplify (- 0) into 0
15.891 * [backup-simplify]: Simplify 0 into 0
15.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
15.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.894 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
15.894 * [backup-simplify]: Simplify (- 0) into 0
15.894 * [backup-simplify]: Simplify 0 into 0
15.894 * [backup-simplify]: Simplify 0 into 0
15.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.897 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
15.897 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
15.898 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
15.898 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
15.899 * [backup-simplify]: Simplify (+ 0 0) into 0
15.900 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
15.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.902 * [backup-simplify]: Simplify (- 0) into 0
15.902 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
15.903 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
15.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
15.906 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
15.906 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
15.906 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
15.906 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
15.906 * [taylor]: Taking taylor expansion of +nan.0 in im
15.906 * [backup-simplify]: Simplify +nan.0 into +nan.0
15.906 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
15.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.906 * [taylor]: Taking taylor expansion of 2.0 in im
15.906 * [backup-simplify]: Simplify 2.0 into 2.0
15.907 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.908 * [taylor]: Taking taylor expansion of (pow im 4) in im
15.908 * [taylor]: Taking taylor expansion of im in im
15.908 * [backup-simplify]: Simplify 0 into 0
15.908 * [backup-simplify]: Simplify 1 into 1
15.908 * [backup-simplify]: Simplify (* 1 1) into 1
15.908 * [backup-simplify]: Simplify (* 1 1) into 1
15.909 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
15.909 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
15.909 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
15.909 * [taylor]: Taking taylor expansion of +nan.0 in im
15.910 * [backup-simplify]: Simplify +nan.0 into +nan.0
15.910 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
15.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
15.910 * [taylor]: Taking taylor expansion of 2.0 in im
15.910 * [backup-simplify]: Simplify 2.0 into 2.0
15.910 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
15.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
15.911 * [taylor]: Taking taylor expansion of (pow im 6) in im
15.911 * [taylor]: Taking taylor expansion of im in im
15.911 * [backup-simplify]: Simplify 0 into 0
15.911 * [backup-simplify]: Simplify 1 into 1
15.911 * [backup-simplify]: Simplify (* 1 1) into 1
15.912 * [backup-simplify]: Simplify (* 1 1) into 1
15.912 * [backup-simplify]: Simplify (* 1 1) into 1
15.914 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
15.915 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
15.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
15.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
15.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.927 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
15.928 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
15.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
15.931 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
15.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
15.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
15.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
15.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
15.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
15.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.957 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
15.957 * [backup-simplify]: Simplify (- 0) into 0
15.957 * [backup-simplify]: Simplify (+ 0 0) into 0
15.958 * [backup-simplify]: Simplify (- 0) into 0
15.958 * [backup-simplify]: Simplify 0 into 0
15.958 * [backup-simplify]: Simplify 0 into 0
15.958 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 2)
15.958 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
15.958 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
15.958 * [taylor]: Taking taylor expansion of (hypot re im) in im
15.958 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
15.958 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
15.958 * [taylor]: Taking taylor expansion of (* re re) in im
15.958 * [taylor]: Taking taylor expansion of re in im
15.958 * [backup-simplify]: Simplify re into re
15.958 * [taylor]: Taking taylor expansion of re in im
15.959 * [backup-simplify]: Simplify re into re
15.959 * [taylor]: Taking taylor expansion of (* im im) in im
15.959 * [taylor]: Taking taylor expansion of im in im
15.959 * [backup-simplify]: Simplify 0 into 0
15.959 * [backup-simplify]: Simplify 1 into 1
15.959 * [taylor]: Taking taylor expansion of im in im
15.959 * [backup-simplify]: Simplify 0 into 0
15.959 * [backup-simplify]: Simplify 1 into 1
15.959 * [backup-simplify]: Simplify (* re re) into (pow re 2)
15.959 * [backup-simplify]: Simplify (* 0 0) into 0
15.959 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
15.960 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
15.960 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
15.960 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.961 * [backup-simplify]: Simplify (+ 0 0) into 0
15.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
15.961 * [taylor]: Taking taylor expansion of (hypot re im) in re
15.961 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
15.961 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
15.961 * [taylor]: Taking taylor expansion of (* re re) in re
15.961 * [taylor]: Taking taylor expansion of re in re
15.961 * [backup-simplify]: Simplify 0 into 0
15.961 * [backup-simplify]: Simplify 1 into 1
15.961 * [taylor]: Taking taylor expansion of re in re
15.961 * [backup-simplify]: Simplify 0 into 0
15.961 * [backup-simplify]: Simplify 1 into 1
15.961 * [taylor]: Taking taylor expansion of (* im im) in re
15.961 * [taylor]: Taking taylor expansion of im in re
15.961 * [backup-simplify]: Simplify im into im
15.961 * [taylor]: Taking taylor expansion of im in re
15.961 * [backup-simplify]: Simplify im into im
15.962 * [backup-simplify]: Simplify (* 0 0) into 0
15.962 * [backup-simplify]: Simplify (* im im) into (pow im 2)
15.962 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
15.962 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
15.963 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.963 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
15.963 * [backup-simplify]: Simplify (+ 0 0) into 0
15.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
15.964 * [taylor]: Taking taylor expansion of (hypot re im) in re
15.964 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
15.964 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
15.964 * [taylor]: Taking taylor expansion of (* re re) in re
15.964 * [taylor]: Taking taylor expansion of re in re
15.964 * [backup-simplify]: Simplify 0 into 0
15.964 * [backup-simplify]: Simplify 1 into 1
15.964 * [taylor]: Taking taylor expansion of re in re
15.964 * [backup-simplify]: Simplify 0 into 0
15.964 * [backup-simplify]: Simplify 1 into 1
15.964 * [taylor]: Taking taylor expansion of (* im im) in re
15.964 * [taylor]: Taking taylor expansion of im in re
15.964 * [backup-simplify]: Simplify im into im
15.964 * [taylor]: Taking taylor expansion of im in re
15.964 * [backup-simplify]: Simplify im into im
15.965 * [backup-simplify]: Simplify (* 0 0) into 0
15.965 * [backup-simplify]: Simplify (* im im) into (pow im 2)
15.965 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
15.965 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
15.966 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.966 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
15.966 * [backup-simplify]: Simplify (+ 0 0) into 0
15.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
15.967 * [taylor]: Taking taylor expansion of im in im
15.967 * [backup-simplify]: Simplify 0 into 0
15.967 * [backup-simplify]: Simplify 1 into 1
15.967 * [backup-simplify]: Simplify 0 into 0
15.967 * [taylor]: Taking taylor expansion of 0 in im
15.967 * [backup-simplify]: Simplify 0 into 0
15.967 * [backup-simplify]: Simplify 0 into 0
15.967 * [backup-simplify]: Simplify 1 into 1
15.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.968 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
15.969 * [backup-simplify]: Simplify (+ 1 0) into 1
15.969 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
15.970 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
15.970 * [taylor]: Taking taylor expansion of 1/2 in im
15.970 * [backup-simplify]: Simplify 1/2 into 1/2
15.970 * [taylor]: Taking taylor expansion of im in im
15.970 * [backup-simplify]: Simplify 0 into 0
15.970 * [backup-simplify]: Simplify 1 into 1
15.970 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
15.971 * [backup-simplify]: Simplify 0 into 0
15.971 * [backup-simplify]: Simplify 0 into 0
15.971 * [backup-simplify]: Simplify 0 into 0
15.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
15.973 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
15.974 * [backup-simplify]: Simplify (+ 0 0) into 0
15.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
15.974 * [taylor]: Taking taylor expansion of 0 in im
15.974 * [backup-simplify]: Simplify 0 into 0
15.974 * [backup-simplify]: Simplify 0 into 0
15.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.975 * [backup-simplify]: Simplify 0 into 0
15.975 * [backup-simplify]: Simplify 0 into 0
15.975 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
15.976 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
15.976 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
15.976 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
15.976 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
15.976 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
15.976 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
15.976 * [taylor]: Taking taylor expansion of (/ 1 re) in im
15.976 * [taylor]: Taking taylor expansion of re in im
15.976 * [backup-simplify]: Simplify re into re
15.976 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
15.976 * [taylor]: Taking taylor expansion of (/ 1 re) in im
15.976 * [taylor]: Taking taylor expansion of re in im
15.976 * [backup-simplify]: Simplify re into re
15.976 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
15.976 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
15.976 * [taylor]: Taking taylor expansion of (/ 1 im) in im
15.976 * [taylor]: Taking taylor expansion of im in im
15.977 * [backup-simplify]: Simplify 0 into 0
15.977 * [backup-simplify]: Simplify 1 into 1
15.977 * [backup-simplify]: Simplify (/ 1 1) into 1
15.977 * [taylor]: Taking taylor expansion of (/ 1 im) in im
15.977 * [taylor]: Taking taylor expansion of im in im
15.977 * [backup-simplify]: Simplify 0 into 0
15.977 * [backup-simplify]: Simplify 1 into 1
15.977 * [backup-simplify]: Simplify (/ 1 1) into 1
15.978 * [backup-simplify]: Simplify (* 1 1) into 1
15.978 * [backup-simplify]: Simplify (+ 0 1) into 1
15.979 * [backup-simplify]: Simplify (sqrt 1) into 1
15.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.981 * [backup-simplify]: Simplify (+ 0 0) into 0
15.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.982 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
15.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
15.982 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
15.982 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
15.983 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.983 * [taylor]: Taking taylor expansion of re in re
15.983 * [backup-simplify]: Simplify 0 into 0
15.983 * [backup-simplify]: Simplify 1 into 1
15.983 * [backup-simplify]: Simplify (/ 1 1) into 1
15.983 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.983 * [taylor]: Taking taylor expansion of re in re
15.983 * [backup-simplify]: Simplify 0 into 0
15.983 * [backup-simplify]: Simplify 1 into 1
15.983 * [backup-simplify]: Simplify (/ 1 1) into 1
15.983 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
15.983 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.983 * [taylor]: Taking taylor expansion of im in re
15.983 * [backup-simplify]: Simplify im into im
15.983 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.983 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.983 * [taylor]: Taking taylor expansion of im in re
15.983 * [backup-simplify]: Simplify im into im
15.984 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.984 * [backup-simplify]: Simplify (* 1 1) into 1
15.984 * [backup-simplify]: Simplify (+ 1 0) into 1
15.984 * [backup-simplify]: Simplify (sqrt 1) into 1
15.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.993 * [backup-simplify]: Simplify (+ 0 0) into 0
15.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.994 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
15.994 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
15.994 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
15.994 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
15.994 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.995 * [taylor]: Taking taylor expansion of re in re
15.995 * [backup-simplify]: Simplify 0 into 0
15.995 * [backup-simplify]: Simplify 1 into 1
15.995 * [backup-simplify]: Simplify (/ 1 1) into 1
15.995 * [taylor]: Taking taylor expansion of (/ 1 re) in re
15.995 * [taylor]: Taking taylor expansion of re in re
15.995 * [backup-simplify]: Simplify 0 into 0
15.995 * [backup-simplify]: Simplify 1 into 1
15.995 * [backup-simplify]: Simplify (/ 1 1) into 1
15.995 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
15.995 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.995 * [taylor]: Taking taylor expansion of im in re
15.995 * [backup-simplify]: Simplify im into im
15.995 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.995 * [taylor]: Taking taylor expansion of (/ 1 im) in re
15.995 * [taylor]: Taking taylor expansion of im in re
15.995 * [backup-simplify]: Simplify im into im
15.995 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
15.996 * [backup-simplify]: Simplify (* 1 1) into 1
15.996 * [backup-simplify]: Simplify (+ 1 0) into 1
15.996 * [backup-simplify]: Simplify (sqrt 1) into 1
15.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.998 * [backup-simplify]: Simplify (+ 0 0) into 0
15.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.998 * [taylor]: Taking taylor expansion of 1 in im
15.998 * [backup-simplify]: Simplify 1 into 1
15.998 * [taylor]: Taking taylor expansion of 0 in im
15.998 * [backup-simplify]: Simplify 0 into 0
15.999 * [backup-simplify]: Simplify 1 into 1
15.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.000 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
16.001 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
16.001 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
16.001 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
16.001 * [taylor]: Taking taylor expansion of 1/2 in im
16.001 * [backup-simplify]: Simplify 1/2 into 1/2
16.001 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.001 * [taylor]: Taking taylor expansion of im in im
16.001 * [backup-simplify]: Simplify 0 into 0
16.001 * [backup-simplify]: Simplify 1 into 1
16.002 * [backup-simplify]: Simplify (* 1 1) into 1
16.002 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.003 * [backup-simplify]: Simplify 0 into 0
16.003 * [backup-simplify]: Simplify 0 into 0
16.003 * [backup-simplify]: Simplify 0 into 0
16.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
16.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
16.005 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
16.005 * [backup-simplify]: Simplify (+ 0 0) into 0
16.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
16.005 * [taylor]: Taking taylor expansion of 0 in im
16.005 * [backup-simplify]: Simplify 0 into 0
16.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.007 * [backup-simplify]: Simplify 0 into 0
16.007 * [backup-simplify]: Simplify 0 into 0
16.007 * [backup-simplify]: Simplify 0 into 0
16.007 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
16.007 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
16.007 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
16.007 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
16.007 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
16.007 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
16.007 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
16.007 * [taylor]: Taking taylor expansion of (/ -1 re) in im
16.007 * [taylor]: Taking taylor expansion of -1 in im
16.007 * [backup-simplify]: Simplify -1 into -1
16.007 * [taylor]: Taking taylor expansion of re in im
16.007 * [backup-simplify]: Simplify re into re
16.007 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
16.007 * [taylor]: Taking taylor expansion of (/ -1 re) in im
16.007 * [taylor]: Taking taylor expansion of -1 in im
16.007 * [backup-simplify]: Simplify -1 into -1
16.007 * [taylor]: Taking taylor expansion of re in im
16.007 * [backup-simplify]: Simplify re into re
16.007 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
16.007 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
16.007 * [taylor]: Taking taylor expansion of (/ -1 im) in im
16.007 * [taylor]: Taking taylor expansion of -1 in im
16.007 * [backup-simplify]: Simplify -1 into -1
16.007 * [taylor]: Taking taylor expansion of im in im
16.007 * [backup-simplify]: Simplify 0 into 0
16.007 * [backup-simplify]: Simplify 1 into 1
16.008 * [backup-simplify]: Simplify (/ -1 1) into -1
16.008 * [taylor]: Taking taylor expansion of (/ -1 im) in im
16.008 * [taylor]: Taking taylor expansion of -1 in im
16.008 * [backup-simplify]: Simplify -1 into -1
16.008 * [taylor]: Taking taylor expansion of im in im
16.008 * [backup-simplify]: Simplify 0 into 0
16.008 * [backup-simplify]: Simplify 1 into 1
16.008 * [backup-simplify]: Simplify (/ -1 1) into -1
16.009 * [backup-simplify]: Simplify (* -1 -1) into 1
16.009 * [backup-simplify]: Simplify (+ 0 1) into 1
16.009 * [backup-simplify]: Simplify (sqrt 1) into 1
16.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
16.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
16.011 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
16.011 * [backup-simplify]: Simplify (+ 0 0) into 0
16.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.011 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
16.011 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
16.012 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
16.012 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
16.012 * [taylor]: Taking taylor expansion of (/ -1 re) in re
16.012 * [taylor]: Taking taylor expansion of -1 in re
16.012 * [backup-simplify]: Simplify -1 into -1
16.012 * [taylor]: Taking taylor expansion of re in re
16.012 * [backup-simplify]: Simplify 0 into 0
16.012 * [backup-simplify]: Simplify 1 into 1
16.012 * [backup-simplify]: Simplify (/ -1 1) into -1
16.012 * [taylor]: Taking taylor expansion of (/ -1 re) in re
16.012 * [taylor]: Taking taylor expansion of -1 in re
16.012 * [backup-simplify]: Simplify -1 into -1
16.012 * [taylor]: Taking taylor expansion of re in re
16.012 * [backup-simplify]: Simplify 0 into 0
16.012 * [backup-simplify]: Simplify 1 into 1
16.012 * [backup-simplify]: Simplify (/ -1 1) into -1
16.012 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
16.012 * [taylor]: Taking taylor expansion of (/ -1 im) in re
16.012 * [taylor]: Taking taylor expansion of -1 in re
16.012 * [backup-simplify]: Simplify -1 into -1
16.012 * [taylor]: Taking taylor expansion of im in re
16.012 * [backup-simplify]: Simplify im into im
16.012 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
16.013 * [taylor]: Taking taylor expansion of (/ -1 im) in re
16.013 * [taylor]: Taking taylor expansion of -1 in re
16.013 * [backup-simplify]: Simplify -1 into -1
16.013 * [taylor]: Taking taylor expansion of im in re
16.013 * [backup-simplify]: Simplify im into im
16.013 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
16.013 * [backup-simplify]: Simplify (* -1 -1) into 1
16.013 * [backup-simplify]: Simplify (+ 1 0) into 1
16.013 * [backup-simplify]: Simplify (sqrt 1) into 1
16.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
16.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
16.015 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
16.015 * [backup-simplify]: Simplify (+ 0 0) into 0
16.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.016 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
16.016 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
16.016 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
16.016 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
16.016 * [taylor]: Taking taylor expansion of (/ -1 re) in re
16.017 * [taylor]: Taking taylor expansion of -1 in re
16.017 * [backup-simplify]: Simplify -1 into -1
16.017 * [taylor]: Taking taylor expansion of re in re
16.017 * [backup-simplify]: Simplify 0 into 0
16.017 * [backup-simplify]: Simplify 1 into 1
16.017 * [backup-simplify]: Simplify (/ -1 1) into -1
16.017 * [taylor]: Taking taylor expansion of (/ -1 re) in re
16.017 * [taylor]: Taking taylor expansion of -1 in re
16.017 * [backup-simplify]: Simplify -1 into -1
16.017 * [taylor]: Taking taylor expansion of re in re
16.017 * [backup-simplify]: Simplify 0 into 0
16.018 * [backup-simplify]: Simplify 1 into 1
16.018 * [backup-simplify]: Simplify (/ -1 1) into -1
16.018 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
16.018 * [taylor]: Taking taylor expansion of (/ -1 im) in re
16.018 * [taylor]: Taking taylor expansion of -1 in re
16.018 * [backup-simplify]: Simplify -1 into -1
16.018 * [taylor]: Taking taylor expansion of im in re
16.018 * [backup-simplify]: Simplify im into im
16.018 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
16.018 * [taylor]: Taking taylor expansion of (/ -1 im) in re
16.018 * [taylor]: Taking taylor expansion of -1 in re
16.018 * [backup-simplify]: Simplify -1 into -1
16.018 * [taylor]: Taking taylor expansion of im in re
16.018 * [backup-simplify]: Simplify im into im
16.018 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
16.019 * [backup-simplify]: Simplify (* -1 -1) into 1
16.019 * [backup-simplify]: Simplify (+ 1 0) into 1
16.020 * [backup-simplify]: Simplify (sqrt 1) into 1
16.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
16.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
16.022 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
16.022 * [backup-simplify]: Simplify (+ 0 0) into 0
16.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.024 * [taylor]: Taking taylor expansion of 1 in im
16.024 * [backup-simplify]: Simplify 1 into 1
16.024 * [taylor]: Taking taylor expansion of 0 in im
16.024 * [backup-simplify]: Simplify 0 into 0
16.024 * [backup-simplify]: Simplify 1 into 1
16.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.027 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
16.027 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
16.027 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
16.028 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
16.028 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
16.029 * [taylor]: Taking taylor expansion of 1/2 in im
16.029 * [backup-simplify]: Simplify 1/2 into 1/2
16.029 * [taylor]: Taking taylor expansion of (pow im 2) in im
16.029 * [taylor]: Taking taylor expansion of im in im
16.029 * [backup-simplify]: Simplify 0 into 0
16.029 * [backup-simplify]: Simplify 1 into 1
16.029 * [backup-simplify]: Simplify (* 1 1) into 1
16.029 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.031 * [backup-simplify]: Simplify 0 into 0
16.031 * [backup-simplify]: Simplify 0 into 0
16.031 * [backup-simplify]: Simplify 0 into 0
16.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
16.034 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
16.035 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
16.035 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
16.035 * [backup-simplify]: Simplify (+ 0 0) into 0
16.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
16.036 * [taylor]: Taking taylor expansion of 0 in im
16.036 * [backup-simplify]: Simplify 0 into 0
16.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.038 * [backup-simplify]: Simplify 0 into 0
16.038 * [backup-simplify]: Simplify 0 into 0
16.038 * [backup-simplify]: Simplify 0 into 0
16.038 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
16.038 * * * [progress]: simplifying candidates
16.040 * [simplify]: Simplifying:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (sqrt (* (+ re (hypot re im)) 2.0)))
  (log1p (sqrt (* (+ re (hypot re im)) 2.0)))
  (log (sqrt (* (+ re (hypot re im)) 2.0)))
  (exp (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))))
  (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (* (sqrt (* (+ re (hypot re im)) 2.0)) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0))
  (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))
  (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0))
  (sqrt (- re (hypot re im)))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  im
  re
  (* -1 re)
16.041 * * [simplify]: Extracting # 0 : cost  0
16.041 * * [simplify]: Extracting # 1 : cost  0
16.041 * * [simplify]: Extracting # 2 : cost  0
16.042 * * [simplify]: Extracting # 3 : cost  0
16.042 * * [simplify]: Extracting # 4 : cost  0
16.042 * * [simplify]: Extracting # 5 : cost  0
16.042 * * [simplify]: Extracting # 6 : cost  0
16.042 * * [simplify]: Extracting # 7 : cost  0
16.043 * * [simplify]: Extracting # 8 : cost  0
16.043 * * [simplify]: Extracting # 9 : cost  0
16.043 * * [simplify]: Extracting # 10 : cost  0
16.043 * * [simplify]: iteration  0 :  86  enodes  (cost  414 )
16.061 * * [simplify]: Extracting # 0 : cost  0
16.062 * * [simplify]: Extracting # 1 : cost  0
16.062 * * [simplify]: Extracting # 2 : cost  0
16.062 * * [simplify]: Extracting # 3 : cost  0
16.062 * * [simplify]: Extracting # 4 : cost  0
16.062 * * [simplify]: iteration  1 :  187  enodes  (cost  377 )
16.149 * * [simplify]: Extracting # 0 : cost  0
16.150 * * [simplify]: Extracting # 1 : cost  0
16.150 * * [simplify]: Extracting # 2 : cost  0
16.151 * * [simplify]: Extracting # 3 : cost  0
16.151 * * [simplify]: Extracting # 4 : cost  0
16.152 * * [simplify]: iteration  2 :  459  enodes  (cost  354 )
16.434 * * [simplify]: Extracting # 0 : cost  0
16.436 * * [simplify]: Extracting # 1 : cost  0
16.439 * * [simplify]: Extracting # 2 : cost  0
16.441 * * [simplify]: Extracting # 3 : cost  0
16.443 * * [simplify]: iteration  3 :  1219  enodes  (cost  345 )
18.378 * * [simplify]: Extracting # 0 : cost  0
18.382 * * [simplify]: Extracting # 1 : cost  0
18.385 * * [simplify]: Extracting # 2 : cost  0
18.387 * * [simplify]: Extracting # 3 : cost  0
18.390 * * [simplify]: Extracting # 4 : cost  0
18.393 * * [simplify]: iteration  4 :  3260  enodes  (cost  344 )
20.694 * * [simplify]: Extracting # 0 : cost  0
20.700 * * [simplify]: Extracting # 1 : cost  0
20.704 * * [simplify]: Extracting # 2 : cost  0
20.713 * * [simplify]: Extracting # 3 : cost  0
20.717 * * [simplify]: Extracting # 4 : cost  0
20.722 * * [simplify]: iteration done:  5001  enodes  (cost  344 )
20.722 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (sqrt (* (+ re (hypot re im)) 2.0)))
  (log1p (sqrt (* (+ re (hypot re im)) 2.0)))
  (log (sqrt (* (+ re (hypot re im)) 2.0)))
  (exp (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))))
  (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (pow (sqrt (* (+ re (hypot re im)) 2.0)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0))
  (sqrt (fma re re (* (hypot re im) (- (hypot re im) re))))
  (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0))
  (sqrt (- re (hypot re im)))
  1/2
  1/2
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  (* (* (- +nan.0) (sqrt 2.0)) (fma re re (- re im)))
  (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)))
  0
  im
  re
  (- re)
20.722 * * * [progress]: adding candidates to table
20.944 * [progress]: [Phase 3 of 3] Extracting.
20.944 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ re (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (expm1 (log1p (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ re (cbrt (pow (hypot re im) 3)))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (exp (log (+ re (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))>)
20.947 * * * [regime-changes]: Trying 2 branch expressions: (im re)
20.947 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ re (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (expm1 (log1p (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ re (cbrt (pow (hypot re im) 3)))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (exp (log (+ re (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))>)
20.994 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ re (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (expm1 (log1p (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ re (cbrt (pow (hypot re im) 3)))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (exp (log (+ re (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))>)
21.042 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
21.043 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0)))
21.043 * * [simplify]: Extracting # 0 : cost  0
21.043 * * [simplify]: Extracting # 1 : cost  0
21.043 * * [simplify]: Extracting # 2 : cost  0
21.043 * * [simplify]: Extracting # 3 : cost  0
21.043 * * [simplify]: Extracting # 4 : cost  0
21.043 * * [simplify]: Extracting # 5 : cost  0
21.043 * * [simplify]: Extracting # 6 : cost  0
21.043 * * [simplify]: Extracting # 7 : cost  0
21.043 * * [simplify]: iteration  0 :  9  enodes  (cost  10 )
21.043 * * [simplify]: Extracting # 0 : cost  0
21.044 * * [simplify]: iteration  1 :  12  enodes  (cost  10 )
21.044 * * [simplify]: Extracting # 0 : cost  0
21.044 * * [simplify]: iteration done:  12  enodes  (cost  10 )
21.044 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0)))
23.868 * [regime-testing]: Baseline error score: 13.427384283960292
23.875 * [regime-testing]: Oracle error score: 13.168211507280356
23.884 * [regime-testing]: End program error score: 13.427384283960292
23.994 * [regime-testing]: Target error score: 33.69614911227882