25.499 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.055 * * * [progress]: [2/2] Setting up program.
0.060 * [progress]: [Phase 2 of 3] Improving.
0.060 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.060 * * [simplify]: Extracting # 0 : cost  0
0.060 * * [simplify]: Extracting # 1 : cost  0
0.060 * * [simplify]: Extracting # 2 : cost  0
0.060 * * [simplify]: Extracting # 3 : cost  0
0.060 * * [simplify]: Extracting # 4 : cost  0
0.060 * * [simplify]: Extracting # 5 : cost  0
0.060 * * [simplify]: Extracting # 6 : cost  0
0.060 * * [simplify]: Extracting # 7 : cost  0
0.060 * * [simplify]: Extracting # 8 : cost  0
0.060 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.062 * * [simplify]: Extracting # 0 : cost  0
0.062 * * [simplify]: Extracting # 1 : cost  0
0.062 * * [simplify]: Extracting # 2 : cost  0
0.062 * * [simplify]: iteration  1 :  24  enodes  (cost  10 )
0.065 * * [simplify]: Extracting # 0 : cost  0
0.065 * * [simplify]: iteration  2 :  30  enodes  (cost  10 )
0.068 * * [simplify]: Extracting # 0 : cost  0
0.068 * * [simplify]: iteration  3 :  32  enodes  (cost  10 )
0.071 * * [simplify]: Extracting # 0 : cost  0
0.071 * * [simplify]: iteration done:  32  enodes  (cost  10 )
0.071 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0)))
0.076 * * [progress]: iteration 1 / 4
0.076 * * * [progress]: picking best candidate
0.092 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))>
0.092 * * * [progress]: localizing error
0.104 * * * [progress]: generating rewritten candidates
0.104 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
0.111 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.123 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1)
0.124 * * * [progress]: generating series expansions
0.124 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1)
0.124 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re)
0.124 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
0.124 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
0.125 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.125 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.125 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.125 * [taylor]: Taking taylor expansion of (* re re) in im
0.125 * [taylor]: Taking taylor expansion of re in im
0.125 * [backup-simplify]: Simplify re into re
0.125 * [taylor]: Taking taylor expansion of re in im
0.125 * [backup-simplify]: Simplify re into re
0.125 * [taylor]: Taking taylor expansion of (* im im) in im
0.125 * [taylor]: Taking taylor expansion of im in im
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.125 * [taylor]: Taking taylor expansion of im in im
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.125 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.125 * [backup-simplify]: Simplify (* 0 0) into 0
0.125 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.125 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.126 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.126 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.126 * [taylor]: Taking taylor expansion of re in im
0.126 * [backup-simplify]: Simplify re into re
0.126 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.126 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.126 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.126 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.126 * [taylor]: Taking taylor expansion of (* re re) in re
0.126 * [taylor]: Taking taylor expansion of re in re
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [taylor]: Taking taylor expansion of re in re
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [taylor]: Taking taylor expansion of (* im im) in re
0.127 * [taylor]: Taking taylor expansion of im in re
0.127 * [backup-simplify]: Simplify im into im
0.127 * [taylor]: Taking taylor expansion of im in re
0.127 * [backup-simplify]: Simplify im into im
0.127 * [backup-simplify]: Simplify (* 0 0) into 0
0.127 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.127 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.127 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.127 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.128 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.128 * [taylor]: Taking taylor expansion of re in re
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.128 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.128 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.128 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.128 * [taylor]: Taking taylor expansion of (* re re) in re
0.128 * [taylor]: Taking taylor expansion of re in re
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [taylor]: Taking taylor expansion of re in re
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [taylor]: Taking taylor expansion of (* im im) in re
0.128 * [taylor]: Taking taylor expansion of im in re
0.128 * [backup-simplify]: Simplify im into im
0.128 * [taylor]: Taking taylor expansion of im in re
0.128 * [backup-simplify]: Simplify im into im
0.128 * [backup-simplify]: Simplify (* 0 0) into 0
0.128 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.129 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.129 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.129 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.129 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.129 * [taylor]: Taking taylor expansion of re in re
0.129 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (+ im 0) into im
0.130 * [taylor]: Taking taylor expansion of im in im
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (+ 0 1) into 1
0.130 * [taylor]: Taking taylor expansion of 1 in im
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.131 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.131 * [backup-simplify]: Simplify (+ 1 0) into 1
0.132 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.132 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.132 * [taylor]: Taking taylor expansion of 1/2 in im
0.132 * [backup-simplify]: Simplify 1/2 into 1/2
0.132 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.132 * [taylor]: Taking taylor expansion of im in im
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (/ 1 1) into 1
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.134 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [taylor]: Taking taylor expansion of 0 in im
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.136 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
0.136 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
0.136 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.136 * [taylor]: Taking taylor expansion of re in im
0.136 * [backup-simplify]: Simplify re into re
0.136 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.136 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.136 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.136 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.136 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.136 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.136 * [taylor]: Taking taylor expansion of re in im
0.136 * [backup-simplify]: Simplify re into re
0.136 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.136 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.136 * [taylor]: Taking taylor expansion of re in im
0.136 * [backup-simplify]: Simplify re into re
0.136 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.136 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.136 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.136 * [taylor]: Taking taylor expansion of im in im
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (/ 1 1) into 1
0.137 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.137 * [taylor]: Taking taylor expansion of im in im
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (/ 1 1) into 1
0.137 * [backup-simplify]: Simplify (* 1 1) into 1
0.138 * [backup-simplify]: Simplify (+ 0 1) into 1
0.138 * [backup-simplify]: Simplify (sqrt 1) into 1
0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
0.140 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.140 * [taylor]: Taking taylor expansion of re in re
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (/ 1 1) into 1
0.140 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.140 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.140 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.140 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.140 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.140 * [taylor]: Taking taylor expansion of re in re
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (/ 1 1) into 1
0.141 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.141 * [taylor]: Taking taylor expansion of re in re
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (/ 1 1) into 1
0.141 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.141 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.141 * [taylor]: Taking taylor expansion of im in re
0.141 * [backup-simplify]: Simplify im into im
0.141 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.141 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.141 * [taylor]: Taking taylor expansion of im in re
0.141 * [backup-simplify]: Simplify im into im
0.141 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.142 * [backup-simplify]: Simplify (+ 1 0) into 1
0.142 * [backup-simplify]: Simplify (sqrt 1) into 1
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
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 (hypot (/ 1 re) (/ 1 im)) in re
0.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.144 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.144 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
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
0.145 * [backup-simplify]: Simplify (/ 1 1) into 1
0.145 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.145 * [taylor]: Taking taylor expansion of re in re
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.145 * [backup-simplify]: Simplify (/ 1 1) into 1
0.145 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
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 * [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
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.148 * [backup-simplify]: Simplify (+ 1 1) into 2
0.148 * [taylor]: Taking taylor expansion of 2 in im
0.148 * [backup-simplify]: Simplify 2 into 2
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [taylor]: Taking taylor expansion of 0 in im
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 2 into 2
0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.152 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.152 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.154 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.154 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.154 * [taylor]: Taking taylor expansion of 1/2 in im
0.154 * [backup-simplify]: Simplify 1/2 into 1/2
0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.154 * [taylor]: Taking taylor expansion of im in im
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (* 1 1) into 1
0.155 * [backup-simplify]: Simplify (/ 1 1) into 1
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.160 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [taylor]: Taking taylor expansion of 0 in im
0.161 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.163 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.163 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.163 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.163 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.163 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.163 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.163 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.163 * [taylor]: Taking taylor expansion of -1 in im
0.163 * [backup-simplify]: Simplify -1 into -1
0.163 * [taylor]: Taking taylor expansion of re in im
0.163 * [backup-simplify]: Simplify re into re
0.164 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.164 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.164 * [taylor]: Taking taylor expansion of -1 in im
0.164 * [backup-simplify]: Simplify -1 into -1
0.164 * [taylor]: Taking taylor expansion of re in im
0.164 * [backup-simplify]: Simplify re into re
0.164 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.164 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.164 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.164 * [taylor]: Taking taylor expansion of -1 in im
0.164 * [backup-simplify]: Simplify -1 into -1
0.164 * [taylor]: Taking taylor expansion of im in im
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (/ -1 1) into -1
0.164 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.164 * [taylor]: Taking taylor expansion of -1 in im
0.164 * [backup-simplify]: Simplify -1 into -1
0.164 * [taylor]: Taking taylor expansion of im in im
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (/ -1 1) into -1
0.165 * [backup-simplify]: Simplify (* -1 -1) into 1
0.165 * [backup-simplify]: Simplify (+ 0 1) into 1
0.165 * [backup-simplify]: Simplify (sqrt 1) into 1
0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.167 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.167 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.167 * [taylor]: Taking taylor expansion of re in im
0.167 * [backup-simplify]: Simplify re into re
0.167 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.167 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.167 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.167 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.167 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.168 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.168 * [taylor]: Taking taylor expansion of -1 in re
0.168 * [backup-simplify]: Simplify -1 into -1
0.168 * [taylor]: Taking taylor expansion of re in re
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (/ -1 1) into -1
0.168 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.168 * [taylor]: Taking taylor expansion of -1 in re
0.168 * [backup-simplify]: Simplify -1 into -1
0.168 * [taylor]: Taking taylor expansion of re in re
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (/ -1 1) into -1
0.168 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.168 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.168 * [taylor]: Taking taylor expansion of -1 in re
0.168 * [backup-simplify]: Simplify -1 into -1
0.168 * [taylor]: Taking taylor expansion of im in re
0.168 * [backup-simplify]: Simplify im into im
0.168 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.168 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.168 * [taylor]: Taking taylor expansion of -1 in re
0.168 * [backup-simplify]: Simplify -1 into -1
0.168 * [taylor]: Taking taylor expansion of im in re
0.168 * [backup-simplify]: Simplify im into im
0.168 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.169 * [backup-simplify]: Simplify (* -1 -1) into 1
0.169 * [backup-simplify]: Simplify (+ 1 0) into 1
0.169 * [backup-simplify]: Simplify (sqrt 1) into 1
0.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.171 * [backup-simplify]: Simplify (+ 0 0) into 0
0.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.171 * [taylor]: Taking taylor expansion of re in re
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.172 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.172 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.172 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.172 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.172 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.172 * [taylor]: Taking taylor expansion of -1 in re
0.172 * [backup-simplify]: Simplify -1 into -1
0.172 * [taylor]: Taking taylor expansion of re in re
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (/ -1 1) into -1
0.172 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.172 * [taylor]: Taking taylor expansion of -1 in re
0.172 * [backup-simplify]: Simplify -1 into -1
0.172 * [taylor]: Taking taylor expansion of re in re
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (/ -1 1) into -1
0.172 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.173 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.173 * [taylor]: Taking taylor expansion of -1 in re
0.173 * [backup-simplify]: Simplify -1 into -1
0.173 * [taylor]: Taking taylor expansion of im in re
0.173 * [backup-simplify]: Simplify im into im
0.173 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.173 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.173 * [taylor]: Taking taylor expansion of -1 in re
0.173 * [backup-simplify]: Simplify -1 into -1
0.173 * [taylor]: Taking taylor expansion of im in re
0.173 * [backup-simplify]: Simplify im into im
0.173 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.173 * [backup-simplify]: Simplify (* -1 -1) into 1
0.173 * [backup-simplify]: Simplify (+ 1 0) into 1
0.173 * [backup-simplify]: Simplify (sqrt 1) into 1
0.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.176 * [taylor]: Taking taylor expansion of re in re
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 1 into 1
0.176 * [backup-simplify]: Simplify (/ 1 1) into 1
0.176 * [backup-simplify]: Simplify (- 1) into -1
0.177 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.177 * [taylor]: Taking taylor expansion of 0 in im
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (- 0) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [taylor]: Taking taylor expansion of 0 in im
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.183 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.183 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.184 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (- 0) into 0
0.185 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.185 * [taylor]: Taking taylor expansion of 1/2 in im
0.185 * [backup-simplify]: Simplify 1/2 into 1/2
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.185 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.185 * [taylor]: Taking taylor expansion of im in im
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (* 1 1) into 1
0.186 * [backup-simplify]: Simplify (/ 1 1) into 1
0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.189 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.189 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.189 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.189 * [backup-simplify]: Simplify (+ 0 0) into 0
0.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (- 0) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [taylor]: Taking taylor expansion of 0 in im
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.193 * [backup-simplify]: Simplify (sqrt (* (+ (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))
0.193 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0
0.193 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im
0.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.193 * [taylor]: Taking taylor expansion of 2.0 in im
0.193 * [backup-simplify]: Simplify 2.0 into 2.0
0.193 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im
0.193 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
0.193 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.194 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.194 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.194 * [taylor]: Taking taylor expansion of (* re re) in im
0.194 * [taylor]: Taking taylor expansion of re in im
0.194 * [backup-simplify]: Simplify re into re
0.194 * [taylor]: Taking taylor expansion of re in im
0.194 * [backup-simplify]: Simplify re into re
0.194 * [taylor]: Taking taylor expansion of (* im im) in im
0.194 * [taylor]: Taking taylor expansion of im in im
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.194 * [taylor]: Taking taylor expansion of im in im
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.194 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.194 * [backup-simplify]: Simplify (* 0 0) into 0
0.194 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.194 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.194 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.195 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.195 * [taylor]: Taking taylor expansion of re in im
0.195 * [backup-simplify]: Simplify re into re
0.195 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.195 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.196 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re
0.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.196 * [taylor]: Taking taylor expansion of 2.0 in re
0.196 * [backup-simplify]: Simplify 2.0 into 2.0
0.196 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
0.196 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.197 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.197 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.197 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.197 * [taylor]: Taking taylor expansion of (* re re) in re
0.197 * [taylor]: Taking taylor expansion of re in re
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [taylor]: Taking taylor expansion of re in re
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [taylor]: Taking taylor expansion of (* im im) in re
0.197 * [taylor]: Taking taylor expansion of im in re
0.197 * [backup-simplify]: Simplify im into im
0.197 * [taylor]: Taking taylor expansion of im in re
0.197 * [backup-simplify]: Simplify im into im
0.197 * [backup-simplify]: Simplify (* 0 0) into 0
0.197 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.197 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.197 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.198 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.198 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.198 * [taylor]: Taking taylor expansion of re in re
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (+ im 0) into im
0.198 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.198 * [backup-simplify]: Simplify (+ 0 1) into 1
0.198 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.198 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re
0.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.199 * [taylor]: Taking taylor expansion of 2.0 in re
0.199 * [backup-simplify]: Simplify 2.0 into 2.0
0.199 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
0.199 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.199 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.199 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.199 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.199 * [taylor]: Taking taylor expansion of (* re re) in re
0.199 * [taylor]: Taking taylor expansion of re in re
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [taylor]: Taking taylor expansion of re in re
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [taylor]: Taking taylor expansion of (* im im) in re
0.200 * [taylor]: Taking taylor expansion of im in re
0.200 * [backup-simplify]: Simplify im into im
0.200 * [taylor]: Taking taylor expansion of im in re
0.200 * [backup-simplify]: Simplify im into im
0.200 * [backup-simplify]: Simplify (* 0 0) into 0
0.200 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.200 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.200 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.200 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.200 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.201 * [taylor]: Taking taylor expansion of re in re
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify (+ im 0) into im
0.201 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.201 * [backup-simplify]: Simplify (+ 0 1) into 1
0.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.202 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.202 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.202 * [taylor]: Taking taylor expansion of 2.0 in im
0.202 * [backup-simplify]: Simplify 2.0 into 2.0
0.202 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.202 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.202 * [taylor]: Taking taylor expansion of im in im
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.203 * [backup-simplify]: Simplify (sqrt 0) into 0
0.204 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.204 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.204 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.205 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.205 * [taylor]: Taking taylor expansion of 1/2 in im
0.205 * [backup-simplify]: Simplify 1/2 into 1/2
0.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.205 * [taylor]: Taking taylor expansion of 2.0 in im
0.205 * [backup-simplify]: Simplify 2.0 into 2.0
0.206 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.206 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.207 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.207 * [taylor]: Taking taylor expansion of im in im
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (/ 1 1) into 1
0.207 * [backup-simplify]: Simplify (sqrt 0) into 0
0.209 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.211 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.211 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.215 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.217 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.219 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.221 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.222 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.223 * [backup-simplify]: Simplify (+ 1 0) into 1
0.224 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.224 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.225 * [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))))
0.226 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.227 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.227 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.227 * [taylor]: Taking taylor expansion of 1/8 in im
0.227 * [backup-simplify]: Simplify 1/8 into 1/8
0.227 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.227 * [taylor]: Taking taylor expansion of 2.0 in im
0.228 * [backup-simplify]: Simplify 2.0 into 2.0
0.228 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.229 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.229 * [taylor]: Taking taylor expansion of im in im
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (* 1 1) into 1
0.230 * [backup-simplify]: Simplify (* 1 1) into 1
0.230 * [backup-simplify]: Simplify (/ 1 1) into 1
0.231 * [backup-simplify]: Simplify (sqrt 0) into 0
0.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.239 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.242 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.244 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.245 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.251 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.252 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.258 * [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)))))))
0.258 * [backup-simplify]: Simplify (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))
0.258 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
0.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im
0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.258 * [taylor]: Taking taylor expansion of 2.0 in im
0.258 * [backup-simplify]: Simplify 2.0 into 2.0
0.259 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im
0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
0.259 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.259 * [taylor]: Taking taylor expansion of re in im
0.259 * [backup-simplify]: Simplify re into re
0.260 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.260 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.260 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.260 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.260 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.260 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.260 * [taylor]: Taking taylor expansion of re in im
0.260 * [backup-simplify]: Simplify re into re
0.260 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.260 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.260 * [taylor]: Taking taylor expansion of re in im
0.260 * [backup-simplify]: Simplify re into re
0.260 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.260 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.260 * [taylor]: Taking taylor expansion of im in im
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (/ 1 1) into 1
0.261 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.261 * [taylor]: Taking taylor expansion of im in im
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (/ 1 1) into 1
0.261 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (+ 0 1) into 1
0.262 * [backup-simplify]: Simplify (sqrt 1) into 1
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.266 * [backup-simplify]: Simplify (+ 0 1) into 1
0.267 * [backup-simplify]: Simplify (sqrt 0) into 0
0.268 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.268 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
0.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.268 * [taylor]: Taking taylor expansion of 2.0 in re
0.268 * [backup-simplify]: Simplify 2.0 into 2.0
0.269 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
0.269 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.269 * [taylor]: Taking taylor expansion of re in re
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (/ 1 1) into 1
0.270 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.270 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.270 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.270 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.270 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.270 * [taylor]: Taking taylor expansion of re in re
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.271 * [taylor]: Taking taylor expansion of re in re
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.271 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.271 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.271 * [taylor]: Taking taylor expansion of im in re
0.271 * [backup-simplify]: Simplify im into im
0.271 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.271 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.271 * [taylor]: Taking taylor expansion of im in re
0.271 * [backup-simplify]: Simplify im into im
0.271 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.272 * [backup-simplify]: Simplify (* 1 1) into 1
0.272 * [backup-simplify]: Simplify (+ 1 0) into 1
0.273 * [backup-simplify]: Simplify (sqrt 1) into 1
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.276 * [backup-simplify]: Simplify (+ 1 1) into 2
0.277 * [backup-simplify]: Simplify (sqrt 0) into 0
0.278 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.278 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
0.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.278 * [taylor]: Taking taylor expansion of 2.0 in re
0.278 * [backup-simplify]: Simplify 2.0 into 2.0
0.279 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
0.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.279 * [taylor]: Taking taylor expansion of re in re
0.279 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.280 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.280 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.280 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.280 * [taylor]: Taking taylor expansion of re in re
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
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
0.281 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.281 * [taylor]: Taking taylor expansion of im in re
0.281 * [backup-simplify]: Simplify im into im
0.281 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.281 * [taylor]: Taking taylor expansion of im in re
0.281 * [backup-simplify]: Simplify im into im
0.281 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.282 * [backup-simplify]: Simplify (* 1 1) into 1
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.283 * [backup-simplify]: Simplify (sqrt 1) into 1
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.287 * [backup-simplify]: Simplify (+ 1 1) into 2
0.287 * [backup-simplify]: Simplify (sqrt 0) into 0
0.288 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.288 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.288 * [taylor]: Taking taylor expansion of 0 in im
0.288 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.290 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.290 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.290 * [taylor]: Taking taylor expansion of +nan.0 in im
0.290 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.290 * [taylor]: Taking taylor expansion of 2.0 in im
0.290 * [backup-simplify]: Simplify 2.0 into 2.0
0.290 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.295 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.295 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.295 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.295 * [taylor]: Taking taylor expansion of +nan.0 in im
0.295 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.295 * [taylor]: Taking taylor expansion of 2.0 in im
0.295 * [backup-simplify]: Simplify 2.0 into 2.0
0.296 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.297 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.297 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.298 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.298 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.301 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.301 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.301 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.302 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.303 * [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))
0.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.306 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.306 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.306 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.306 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.306 * [taylor]: Taking taylor expansion of +nan.0 in im
0.306 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.307 * [taylor]: Taking taylor expansion of 2.0 in im
0.307 * [backup-simplify]: Simplify 2.0 into 2.0
0.307 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.307 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.307 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.307 * [taylor]: Taking taylor expansion of +nan.0 in im
0.307 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.308 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.308 * [taylor]: Taking taylor expansion of 2.0 in im
0.308 * [backup-simplify]: Simplify 2.0 into 2.0
0.308 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.309 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.309 * [taylor]: Taking taylor expansion of im in im
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (* 1 1) into 1
0.310 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.312 * [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
0.313 * [backup-simplify]: Simplify (- 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
0.315 * [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)))
0.318 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.319 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.319 * [backup-simplify]: Simplify (- 0) into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.325 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [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)))
0.328 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.330 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.330 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.330 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) 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
0.331 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.331 * [taylor]: Taking taylor expansion of 2.0 in im
0.331 * [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 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.332 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.332 * [taylor]: Taking taylor expansion of +nan.0 in im
0.332 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.332 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.332 * [taylor]: Taking taylor expansion of 2.0 in im
0.332 * [backup-simplify]: Simplify 2.0 into 2.0
0.333 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.333 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.334 * [taylor]: Taking taylor expansion of im in im
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (* 1 1) into 1
0.335 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.337 * [backup-simplify]: Simplify (- 0) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (- 0) into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.338 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.340 * [backup-simplify]: Simplify (- 0) into 0
0.341 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.342 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.343 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.347 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.347 * [backup-simplify]: Simplify (sqrt (* (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
0.347 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
0.347 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
0.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.347 * [taylor]: Taking taylor expansion of 2.0 in im
0.347 * [backup-simplify]: Simplify 2.0 into 2.0
0.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.348 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
0.348 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.348 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.348 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.348 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.348 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.348 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.348 * [taylor]: Taking taylor expansion of -1 in im
0.348 * [backup-simplify]: Simplify -1 into -1
0.348 * [taylor]: Taking taylor expansion of re in im
0.348 * [backup-simplify]: Simplify re into re
0.348 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.348 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.348 * [taylor]: Taking taylor expansion of -1 in im
0.348 * [backup-simplify]: Simplify -1 into -1
0.348 * [taylor]: Taking taylor expansion of re in im
0.348 * [backup-simplify]: Simplify re into re
0.348 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.348 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.348 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.348 * [taylor]: Taking taylor expansion of -1 in im
0.348 * [backup-simplify]: Simplify -1 into -1
0.348 * [taylor]: Taking taylor expansion of im in im
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (/ -1 1) into -1
0.348 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.348 * [taylor]: Taking taylor expansion of -1 in im
0.348 * [backup-simplify]: Simplify -1 into -1
0.348 * [taylor]: Taking taylor expansion of im in im
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (/ -1 1) into -1
0.349 * [backup-simplify]: Simplify (* -1 -1) into 1
0.349 * [backup-simplify]: Simplify (+ 0 1) into 1
0.349 * [backup-simplify]: Simplify (sqrt 1) into 1
0.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.351 * [backup-simplify]: Simplify (+ 0 0) into 0
0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.352 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.352 * [taylor]: Taking taylor expansion of re in im
0.352 * [backup-simplify]: Simplify re into re
0.352 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.352 * [backup-simplify]: Simplify (+ 1 0) into 1
0.352 * [backup-simplify]: Simplify (sqrt 0) into 0
0.353 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.353 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.353 * [taylor]: Taking taylor expansion of 2.0 in re
0.353 * [backup-simplify]: Simplify 2.0 into 2.0
0.353 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.354 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.354 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.354 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.354 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.354 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.354 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.354 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.354 * [taylor]: Taking taylor expansion of -1 in re
0.354 * [backup-simplify]: Simplify -1 into -1
0.354 * [taylor]: Taking taylor expansion of re in re
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (/ -1 1) into -1
0.354 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.354 * [taylor]: Taking taylor expansion of -1 in re
0.354 * [backup-simplify]: Simplify -1 into -1
0.354 * [taylor]: Taking taylor expansion of re in re
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify (/ -1 1) into -1
0.355 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.355 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.355 * [taylor]: Taking taylor expansion of -1 in re
0.355 * [backup-simplify]: Simplify -1 into -1
0.355 * [taylor]: Taking taylor expansion of im in re
0.355 * [backup-simplify]: Simplify im into im
0.355 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.355 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.355 * [taylor]: Taking taylor expansion of -1 in re
0.355 * [backup-simplify]: Simplify -1 into -1
0.355 * [taylor]: Taking taylor expansion of im in re
0.355 * [backup-simplify]: Simplify im into im
0.355 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.355 * [backup-simplify]: Simplify (* -1 -1) into 1
0.355 * [backup-simplify]: Simplify (+ 1 0) into 1
0.356 * [backup-simplify]: Simplify (sqrt 1) into 1
0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.357 * [backup-simplify]: Simplify (+ 0 0) into 0
0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.358 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.358 * [taylor]: Taking taylor expansion of re in re
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [backup-simplify]: Simplify (- 1) into -1
0.358 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (- 0) into 0
0.359 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.361 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.361 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.362 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (- 0) into 0
0.363 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.363 * [backup-simplify]: Simplify (sqrt 0) into 0
0.364 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.364 * [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
0.367 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
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 * [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
0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.372 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.372 * [taylor]: Taking taylor expansion of re in re
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [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
0.374 * [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
0.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [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
0.378 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.378 * [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))
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (- 0) into 0
0.381 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.381 * [backup-simplify]: Simplify (sqrt 0) into 0
0.382 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.382 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.382 * [taylor]: Taking taylor expansion of 0 in im
0.382 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.383 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.384 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.384 * [taylor]: Taking taylor expansion of +nan.0 in im
0.384 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.384 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.384 * [taylor]: Taking taylor expansion of 2.0 in im
0.384 * [backup-simplify]: Simplify 2.0 into 2.0
0.384 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.385 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.385 * [taylor]: Taking taylor expansion of im in im
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [backup-simplify]: Simplify (* 1 1) into 1
0.386 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.389 * [backup-simplify]: Simplify (- 0) into 0
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.393 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.393 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.393 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.393 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.393 * [backup-simplify]: Simplify (+ 0 0) into 0
0.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (- 0) into 0
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.398 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.399 * [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))))
0.399 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.399 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.399 * [taylor]: Taking taylor expansion of +nan.0 in im
0.399 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.399 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.399 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.399 * [taylor]: Taking taylor expansion of 2.0 in im
0.399 * [backup-simplify]: Simplify 2.0 into 2.0
0.400 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.400 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.400 * [taylor]: Taking taylor expansion of im in im
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 1 into 1
0.401 * [backup-simplify]: Simplify (* 1 1) into 1
0.401 * [backup-simplify]: Simplify (* 1 1) into 1
0.402 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.403 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.415 * [backup-simplify]: Simplify (- 0) into 0
0.415 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.420 * [backup-simplify]: Simplify (- 0) into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.424 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.424 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.425 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (- 0) into 0
0.428 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.429 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
0.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.435 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 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))))))
0.435 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.435 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.435 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.435 * [taylor]: Taking taylor expansion of +nan.0 in im
0.435 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.435 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.435 * [taylor]: Taking taylor expansion of 2.0 in im
0.435 * [backup-simplify]: Simplify 2.0 into 2.0
0.435 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.436 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.436 * [taylor]: Taking taylor expansion of im in im
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 1 into 1
0.437 * [backup-simplify]: Simplify (* 1 1) into 1
0.437 * [backup-simplify]: Simplify (* 1 1) into 1
0.438 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.438 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.438 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.438 * [taylor]: Taking taylor expansion of +nan.0 in im
0.438 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.438 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.438 * [taylor]: Taking taylor expansion of 2.0 in im
0.438 * [backup-simplify]: Simplify 2.0 into 2.0
0.439 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.439 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.439 * [taylor]: Taking taylor expansion of im in im
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 1 into 1
0.440 * [backup-simplify]: Simplify (* 1 1) into 1
0.440 * [backup-simplify]: Simplify (* 1 1) into 1
0.441 * [backup-simplify]: Simplify (* 1 1) into 1
0.441 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.453 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.453 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.455 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 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 (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.469 * [backup-simplify]: Simplify (- 0) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.469 * [backup-simplify]: Simplify (- 0) into 0
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1)
0.469 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.469 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.469 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.469 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.469 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.469 * [taylor]: Taking taylor expansion of (* re re) in im
0.469 * [taylor]: Taking taylor expansion of re in im
0.469 * [backup-simplify]: Simplify re into re
0.469 * [taylor]: Taking taylor expansion of re in im
0.469 * [backup-simplify]: Simplify re into re
0.469 * [taylor]: Taking taylor expansion of (* im im) in im
0.469 * [taylor]: Taking taylor expansion of im in im
0.469 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 1 into 1
0.470 * [taylor]: Taking taylor expansion of im in im
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.470 * [backup-simplify]: Simplify (* 0 0) into 0
0.470 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.470 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.470 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.470 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.471 * [backup-simplify]: Simplify (+ 0 0) into 0
0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.471 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.471 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.471 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.471 * [taylor]: Taking taylor expansion of (* re re) in re
0.471 * [taylor]: Taking taylor expansion of re in re
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [taylor]: Taking taylor expansion of re in re
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [taylor]: Taking taylor expansion of (* im im) in re
0.471 * [taylor]: Taking taylor expansion of im in re
0.471 * [backup-simplify]: Simplify im into im
0.471 * [taylor]: Taking taylor expansion of im in re
0.471 * [backup-simplify]: Simplify im into im
0.471 * [backup-simplify]: Simplify (* 0 0) into 0
0.471 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.472 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.472 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.472 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.472 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.472 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.472 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.472 * [taylor]: Taking taylor expansion of (* re re) in re
0.473 * [taylor]: Taking taylor expansion of re in re
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [taylor]: Taking taylor expansion of re in re
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [taylor]: Taking taylor expansion of (* im im) in re
0.473 * [taylor]: Taking taylor expansion of im in re
0.473 * [backup-simplify]: Simplify im into im
0.473 * [taylor]: Taking taylor expansion of im in re
0.473 * [backup-simplify]: Simplify im into im
0.473 * [backup-simplify]: Simplify (* 0 0) into 0
0.473 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.473 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.473 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.473 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.474 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.474 * [backup-simplify]: Simplify (+ 0 0) into 0
0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.474 * [taylor]: Taking taylor expansion of im in im
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 1 into 1
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [taylor]: Taking taylor expansion of 0 in im
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.475 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.475 * [backup-simplify]: Simplify (+ 1 0) into 1
0.476 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.476 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.476 * [taylor]: Taking taylor expansion of 1/2 in im
0.476 * [backup-simplify]: Simplify 1/2 into 1/2
0.476 * [taylor]: Taking taylor expansion of im in im
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.478 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.478 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.478 * [taylor]: Taking taylor expansion of 0 in im
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.479 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.479 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.479 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.479 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.479 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.479 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.479 * [taylor]: Taking taylor expansion of re in im
0.479 * [backup-simplify]: Simplify re into re
0.479 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.479 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.479 * [taylor]: Taking taylor expansion of re in im
0.479 * [backup-simplify]: Simplify re into re
0.479 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.479 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.479 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.479 * [taylor]: Taking taylor expansion of im in im
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.479 * [backup-simplify]: Simplify (/ 1 1) into 1
0.479 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.479 * [taylor]: Taking taylor expansion of im in im
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.480 * [backup-simplify]: Simplify (/ 1 1) into 1
0.480 * [backup-simplify]: Simplify (* 1 1) into 1
0.480 * [backup-simplify]: Simplify (+ 0 1) into 1
0.480 * [backup-simplify]: Simplify (sqrt 1) into 1
0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.482 * [backup-simplify]: Simplify (+ 0 0) into 0
0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.482 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.482 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.482 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.482 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.482 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.482 * [taylor]: Taking taylor expansion of re in re
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (/ 1 1) into 1
0.483 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.483 * [taylor]: Taking taylor expansion of re in re
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (/ 1 1) into 1
0.483 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.483 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.483 * [taylor]: Taking taylor expansion of im in re
0.483 * [backup-simplify]: Simplify im into im
0.483 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.483 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.483 * [taylor]: Taking taylor expansion of im in re
0.483 * [backup-simplify]: Simplify im into im
0.483 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.483 * [backup-simplify]: Simplify (* 1 1) into 1
0.484 * [backup-simplify]: Simplify (+ 1 0) into 1
0.484 * [backup-simplify]: Simplify (sqrt 1) into 1
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.485 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.486 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.486 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.486 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.486 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.486 * [taylor]: Taking taylor expansion of re in re
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify (/ 1 1) into 1
0.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.486 * [taylor]: Taking taylor expansion of re in re
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (/ 1 1) into 1
0.487 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.487 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.487 * [taylor]: Taking taylor expansion of im in re
0.487 * [backup-simplify]: Simplify im into im
0.487 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.487 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.487 * [taylor]: Taking taylor expansion of im in re
0.487 * [backup-simplify]: Simplify im into im
0.487 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.487 * [backup-simplify]: Simplify (* 1 1) into 1
0.487 * [backup-simplify]: Simplify (+ 1 0) into 1
0.488 * [backup-simplify]: Simplify (sqrt 1) into 1
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.489 * [backup-simplify]: Simplify (+ 0 0) into 0
0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.490 * [taylor]: Taking taylor expansion of 1 in im
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [taylor]: Taking taylor expansion of 0 in im
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.491 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.491 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.492 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.492 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.492 * [taylor]: Taking taylor expansion of 1/2 in im
0.492 * [backup-simplify]: Simplify 1/2 into 1/2
0.492 * [taylor]: Taking taylor expansion of (pow im 2) 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 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.496 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.496 * [taylor]: Taking taylor expansion of 0 in im
0.496 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.498 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.498 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.498 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
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 im
0.498 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.498 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.498 * [taylor]: Taking taylor expansion of -1 in im
0.498 * [backup-simplify]: Simplify -1 into -1
0.498 * [taylor]: Taking taylor expansion of re in im
0.498 * [backup-simplify]: Simplify re into re
0.498 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.498 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.498 * [taylor]: Taking taylor expansion of -1 in im
0.498 * [backup-simplify]: Simplify -1 into -1
0.498 * [taylor]: Taking taylor expansion of re in im
0.498 * [backup-simplify]: Simplify re into re
0.498 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.498 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.498 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.498 * [taylor]: Taking taylor expansion of -1 in im
0.498 * [backup-simplify]: Simplify -1 into -1
0.498 * [taylor]: Taking taylor expansion of im in im
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (/ -1 1) into -1
0.498 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.498 * [taylor]: Taking taylor expansion of -1 in im
0.498 * [backup-simplify]: Simplify -1 into -1
0.498 * [taylor]: Taking taylor expansion of im in im
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 * [backup-simplify]: Simplify (* -1 -1) into 1
0.499 * [backup-simplify]: Simplify (+ 0 1) into 1
0.500 * [backup-simplify]: Simplify (sqrt 1) into 1
0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.503 * [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 -1 in re
0.504 * [backup-simplify]: Simplify -1 into -1
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
0.504 * [backup-simplify]: Simplify (/ -1 1) into -1
0.504 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.504 * [taylor]: Taking taylor expansion of -1 in re
0.504 * [backup-simplify]: Simplify -1 into -1
0.504 * [taylor]: Taking taylor expansion of re in re
0.504 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (/ -1 1) into -1
0.505 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.505 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.505 * [taylor]: Taking taylor expansion of -1 in re
0.505 * [backup-simplify]: Simplify -1 into -1
0.505 * [taylor]: Taking taylor expansion of im in re
0.505 * [backup-simplify]: Simplify im into im
0.505 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.505 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.505 * [taylor]: Taking taylor expansion of -1 in re
0.505 * [backup-simplify]: Simplify -1 into -1
0.505 * [taylor]: Taking taylor expansion of im in re
0.505 * [backup-simplify]: Simplify im into im
0.505 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.506 * [backup-simplify]: Simplify (* -1 -1) into 1
0.506 * [backup-simplify]: Simplify (+ 1 0) into 1
0.507 * [backup-simplify]: Simplify (sqrt 1) into 1
0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.509 * [backup-simplify]: Simplify (+ 0 0) into 0
0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.510 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.510 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.510 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.510 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.510 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.510 * [taylor]: Taking taylor expansion of -1 in re
0.510 * [backup-simplify]: Simplify -1 into -1
0.510 * [taylor]: Taking taylor expansion of re in re
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 1 into 1
0.511 * [backup-simplify]: Simplify (/ -1 1) into -1
0.511 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.511 * [taylor]: Taking taylor expansion of -1 in re
0.511 * [backup-simplify]: Simplify -1 into -1
0.511 * [taylor]: Taking taylor expansion of re in re
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.511 * [backup-simplify]: Simplify (/ -1 1) into -1
0.511 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.512 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.512 * [taylor]: Taking taylor expansion of -1 in re
0.512 * [backup-simplify]: Simplify -1 into -1
0.512 * [taylor]: Taking taylor expansion of im in re
0.512 * [backup-simplify]: Simplify im into im
0.512 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.512 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.512 * [taylor]: Taking taylor expansion of -1 in re
0.512 * [backup-simplify]: Simplify -1 into -1
0.512 * [taylor]: Taking taylor expansion of im in re
0.512 * [backup-simplify]: Simplify im into im
0.512 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.512 * [backup-simplify]: Simplify (* -1 -1) into 1
0.513 * [backup-simplify]: Simplify (+ 1 0) into 1
0.513 * [backup-simplify]: Simplify (sqrt 1) into 1
0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.517 * [taylor]: Taking taylor expansion of 1 in im
0.517 * [backup-simplify]: Simplify 1 into 1
0.518 * [taylor]: Taking taylor expansion of 0 in im
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.521 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.521 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.522 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.522 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.522 * [taylor]: Taking taylor expansion of 1/2 in im
0.522 * [backup-simplify]: Simplify 1/2 into 1/2
0.522 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.522 * [taylor]: Taking taylor expansion of im in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (* 1 1) into 1
0.523 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.528 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.528 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.528 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.529 * [backup-simplify]: Simplify (+ 0 0) into 0
0.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.530 * [taylor]: Taking taylor expansion of 0 in im
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.532 * * * [progress]: simplifying candidates
0.533 * [simplify]: Simplifying:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (* (exp (hypot re im)) (exp re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (sqrt (* (+ (hypot re im) re) 2.0)))
  (log1p (sqrt (* (+ (hypot re im) re) 2.0)))
  (log (sqrt (* (+ (hypot re im) re) 2.0)))
  (exp (sqrt (* (+ (hypot re im) re) 2.0)))
  (* (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0))))
  (cbrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (* (* (sqrt (* (+ (hypot re im) re) 2.0)) (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (* (+ (hypot re im) re) 2.0)))
  (sqrt (+ (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* (+ (pow (hypot re im) 3) (pow re 3)) 2.0))
  (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))
  (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0))
  (sqrt (- (hypot re im) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (sqrt (sqrt (* (+ (hypot re im) re) 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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
  im
  re
  (* -1 re)
0.534 * * [simplify]: Extracting # 0 : cost  0
0.534 * * [simplify]: Extracting # 1 : cost  0
0.534 * * [simplify]: Extracting # 2 : cost  0
0.535 * * [simplify]: Extracting # 3 : cost  0
0.535 * * [simplify]: Extracting # 4 : cost  0
0.535 * * [simplify]: Extracting # 5 : cost  0
0.535 * * [simplify]: Extracting # 6 : cost  0
0.535 * * [simplify]: Extracting # 7 : cost  0
0.536 * * [simplify]: Extracting # 8 : cost  0
0.536 * * [simplify]: Extracting # 9 : cost  0
0.536 * * [simplify]: Extracting # 10 : cost  0
0.536 * * [simplify]: iteration  0 :  86  enodes  (cost  414 )
0.567 * * [simplify]: Extracting # 0 : cost  0
0.567 * * [simplify]: Extracting # 1 : cost  0
0.568 * * [simplify]: Extracting # 2 : cost  0
0.568 * * [simplify]: Extracting # 3 : cost  0
0.568 * * [simplify]: Extracting # 4 : cost  0
0.569 * * [simplify]: iteration  1 :  187  enodes  (cost  381 )
0.619 * * [simplify]: Extracting # 0 : cost  0
0.621 * * [simplify]: Extracting # 1 : cost  0
0.622 * * [simplify]: Extracting # 2 : cost  0
0.623 * * [simplify]: Extracting # 3 : cost  0
0.625 * * [simplify]: Extracting # 4 : cost  0
0.626 * * [simplify]: iteration  2 :  612  enodes  (cost  358 )
1.194 * * [simplify]: Extracting # 0 : cost  0
1.197 * * [simplify]: Extracting # 1 : cost  0
1.204 * * [simplify]: Extracting # 2 : cost  0
1.211 * * [simplify]: Extracting # 3 : cost  0
1.219 * * [simplify]: Extracting # 4 : cost  0
1.228 * * [simplify]: iteration  3 :  3673  enodes  (cost  349 )
2.196 * * [simplify]: Extracting # 0 : cost  0
2.204 * * [simplify]: Extracting # 1 : cost  0
2.214 * * [simplify]: Extracting # 2 : cost  0
2.231 * * [simplify]: iteration done:  5000  enodes  (cost  348 )
2.231 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (fma re re (* (hypot re im) (+ (- re) (hypot re im))))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (sqrt (* (+ (hypot re im) re) 2.0)))
  (log1p (sqrt (* (+ (hypot re im) re) 2.0)))
  (log (sqrt (* (+ (hypot re im) re) 2.0)))
  (exp (sqrt (* (+ (hypot re im) re) 2.0)))
  (* (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0))))
  (cbrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (pow (sqrt (* (+ (hypot re im) re) 2.0)) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* (+ (pow (hypot re im) 3) (pow re 3)) 2.0))
  (sqrt (fma re re (* (hypot re im) (+ (- re) (hypot re im)))))
  (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0))
  (sqrt (- (hypot re im) re))
  1/2
  1/2
  (sqrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (sqrt (sqrt (* (+ (hypot re im) re) 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 (- im re)))
  (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))))
  0
  im
  re
  (- re)
2.232 * * * [progress]: adding candidates to table
2.531 * * [progress]: iteration 2 / 4
2.531 * * * [progress]: picking best candidate
2.603 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))>
2.603 * * * [progress]: localizing error
2.631 * * * [progress]: generating rewritten candidates
2.631 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
2.640 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
2.685 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
2.685 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
2.696 * * * [progress]: generating series expansions
2.696 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
2.696 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re)
2.696 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
2.697 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
2.697 * [taylor]: Taking taylor expansion of (hypot re im) in im
2.697 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.697 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
2.697 * [taylor]: Taking taylor expansion of (* re re) in im
2.697 * [taylor]: Taking taylor expansion of re in im
2.697 * [backup-simplify]: Simplify re into re
2.697 * [taylor]: Taking taylor expansion of re in im
2.697 * [backup-simplify]: Simplify re into re
2.697 * [taylor]: Taking taylor expansion of (* im im) in im
2.697 * [taylor]: Taking taylor expansion of im in im
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 1 into 1
2.697 * [taylor]: Taking taylor expansion of im in im
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 1 into 1
2.697 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.697 * [backup-simplify]: Simplify (* 0 0) into 0
2.697 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.698 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.698 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.698 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.698 * [backup-simplify]: Simplify (+ 0 0) into 0
2.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.698 * [taylor]: Taking taylor expansion of re in im
2.698 * [backup-simplify]: Simplify re into re
2.698 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.698 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.698 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.699 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.699 * [taylor]: Taking taylor expansion of (* re re) in re
2.699 * [taylor]: Taking taylor expansion of re in re
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 1 into 1
2.699 * [taylor]: Taking taylor expansion of re in re
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 1 into 1
2.699 * [taylor]: Taking taylor expansion of (* im im) in re
2.699 * [taylor]: Taking taylor expansion of im in re
2.699 * [backup-simplify]: Simplify im into im
2.699 * [taylor]: Taking taylor expansion of im in re
2.699 * [backup-simplify]: Simplify im into im
2.699 * [backup-simplify]: Simplify (* 0 0) into 0
2.699 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.699 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.699 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.700 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.700 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.700 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.700 * [taylor]: Taking taylor expansion of re in re
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 1 into 1
2.700 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.700 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.700 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.700 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.700 * [taylor]: Taking taylor expansion of (* re re) in re
2.700 * [taylor]: Taking taylor expansion of re in re
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 1 into 1
2.700 * [taylor]: Taking taylor expansion of re in re
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 1 into 1
2.700 * [taylor]: Taking taylor expansion of (* im im) in re
2.700 * [taylor]: Taking taylor expansion of im in re
2.700 * [backup-simplify]: Simplify im into im
2.700 * [taylor]: Taking taylor expansion of im in re
2.700 * [backup-simplify]: Simplify im into im
2.701 * [backup-simplify]: Simplify (* 0 0) into 0
2.701 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.701 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.701 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.701 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.701 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.701 * [backup-simplify]: Simplify (+ 0 0) into 0
2.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.702 * [taylor]: Taking taylor expansion of re in re
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 1 into 1
2.702 * [backup-simplify]: Simplify (+ im 0) into im
2.702 * [taylor]: Taking taylor expansion of im in im
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 1 into 1
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify (+ 0 1) into 1
2.702 * [taylor]: Taking taylor expansion of 1 in im
2.702 * [backup-simplify]: Simplify 1 into 1
2.702 * [backup-simplify]: Simplify 1 into 1
2.702 * [backup-simplify]: Simplify 1 into 1
2.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.703 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.703 * [backup-simplify]: Simplify (+ 1 0) into 1
2.704 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.704 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.704 * [taylor]: Taking taylor expansion of 1/2 in im
2.704 * [backup-simplify]: Simplify 1/2 into 1/2
2.704 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.704 * [taylor]: Taking taylor expansion of im in im
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 1 into 1
2.704 * [backup-simplify]: Simplify (/ 1 1) into 1
2.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.706 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.706 * [backup-simplify]: Simplify (+ 0 0) into 0
2.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.707 * [backup-simplify]: Simplify (+ 0 0) into 0
2.707 * [taylor]: Taking taylor expansion of 0 in im
2.707 * [backup-simplify]: Simplify 0 into 0
2.707 * [backup-simplify]: Simplify 0 into 0
2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.708 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
2.708 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
2.708 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
2.708 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.708 * [taylor]: Taking taylor expansion of re in im
2.708 * [backup-simplify]: Simplify re into re
2.708 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.708 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
2.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.708 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
2.708 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
2.708 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.708 * [taylor]: Taking taylor expansion of re in im
2.708 * [backup-simplify]: Simplify re into re
2.708 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.708 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.708 * [taylor]: Taking taylor expansion of re in im
2.708 * [backup-simplify]: Simplify re into re
2.709 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.709 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
2.709 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.709 * [taylor]: Taking taylor expansion of im in im
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.709 * [backup-simplify]: Simplify (/ 1 1) into 1
2.709 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.709 * [taylor]: Taking taylor expansion of im in im
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.709 * [backup-simplify]: Simplify (/ 1 1) into 1
2.709 * [backup-simplify]: Simplify (* 1 1) into 1
2.710 * [backup-simplify]: Simplify (+ 0 1) into 1
2.710 * [backup-simplify]: Simplify (sqrt 1) into 1
2.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.712 * [backup-simplify]: Simplify (+ 0 0) into 0
2.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.712 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.712 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.712 * [taylor]: Taking taylor expansion of re in re
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify 1 into 1
2.713 * [backup-simplify]: Simplify (/ 1 1) into 1
2.713 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.713 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.713 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.713 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.713 * [taylor]: Taking taylor expansion of re in re
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify 1 into 1
2.714 * [backup-simplify]: Simplify (/ 1 1) into 1
2.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.714 * [taylor]: Taking taylor expansion of re in re
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 1 into 1
2.714 * [backup-simplify]: Simplify (/ 1 1) into 1
2.714 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.714 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.714 * [taylor]: Taking taylor expansion of im in re
2.714 * [backup-simplify]: Simplify im into im
2.714 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.714 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.714 * [taylor]: Taking taylor expansion of im in re
2.714 * [backup-simplify]: Simplify im into im
2.714 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.715 * [backup-simplify]: Simplify (* 1 1) into 1
2.715 * [backup-simplify]: Simplify (+ 1 0) into 1
2.716 * [backup-simplify]: Simplify (sqrt 1) into 1
2.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.718 * [backup-simplify]: Simplify (+ 0 0) into 0
2.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.719 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.719 * [taylor]: Taking taylor expansion of re in re
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify 1 into 1
2.719 * [backup-simplify]: Simplify (/ 1 1) into 1
2.719 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.720 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.720 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.720 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.720 * [taylor]: Taking taylor expansion of re in re
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify 1 into 1
2.721 * [backup-simplify]: Simplify (/ 1 1) into 1
2.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.721 * [taylor]: Taking taylor expansion of re in re
2.721 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify 1 into 1
2.721 * [backup-simplify]: Simplify (/ 1 1) into 1
2.721 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.721 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.721 * [taylor]: Taking taylor expansion of im in re
2.721 * [backup-simplify]: Simplify im into im
2.721 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.721 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.721 * [taylor]: Taking taylor expansion of im in re
2.721 * [backup-simplify]: Simplify im into im
2.721 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.722 * [backup-simplify]: Simplify (* 1 1) into 1
2.722 * [backup-simplify]: Simplify (+ 1 0) into 1
2.723 * [backup-simplify]: Simplify (sqrt 1) into 1
2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.725 * [backup-simplify]: Simplify (+ 0 0) into 0
2.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.726 * [backup-simplify]: Simplify (+ 1 1) into 2
2.726 * [taylor]: Taking taylor expansion of 2 in im
2.726 * [backup-simplify]: Simplify 2 into 2
2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.727 * [backup-simplify]: Simplify (+ 0 0) into 0
2.727 * [taylor]: Taking taylor expansion of 0 in im
2.727 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 2 into 2
2.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.732 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
2.732 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.733 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.733 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.734 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.734 * [taylor]: Taking taylor expansion of 1/2 in im
2.734 * [backup-simplify]: Simplify 1/2 into 1/2
2.734 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.734 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.734 * [taylor]: Taking taylor expansion of im in im
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [backup-simplify]: Simplify (* 1 1) into 1
2.735 * [backup-simplify]: Simplify (/ 1 1) into 1
2.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.741 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
2.741 * [backup-simplify]: Simplify (+ 0 0) into 0
2.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.742 * [backup-simplify]: Simplify (+ 0 0) into 0
2.742 * [taylor]: Taking taylor expansion of 0 in im
2.742 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.745 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
2.745 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
2.745 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
2.745 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
2.746 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.746 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
2.746 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
2.746 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.746 * [taylor]: Taking taylor expansion of -1 in im
2.746 * [backup-simplify]: Simplify -1 into -1
2.746 * [taylor]: Taking taylor expansion of re in im
2.746 * [backup-simplify]: Simplify re into re
2.746 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.746 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.746 * [taylor]: Taking taylor expansion of -1 in im
2.746 * [backup-simplify]: Simplify -1 into -1
2.746 * [taylor]: Taking taylor expansion of re in im
2.746 * [backup-simplify]: Simplify re into re
2.746 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.746 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
2.746 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.746 * [taylor]: Taking taylor expansion of -1 in im
2.746 * [backup-simplify]: Simplify -1 into -1
2.746 * [taylor]: Taking taylor expansion of im in im
2.746 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify 1 into 1
2.747 * [backup-simplify]: Simplify (/ -1 1) into -1
2.747 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.747 * [taylor]: Taking taylor expansion of -1 in im
2.747 * [backup-simplify]: Simplify -1 into -1
2.747 * [taylor]: Taking taylor expansion of im in im
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify 1 into 1
2.747 * [backup-simplify]: Simplify (/ -1 1) into -1
2.748 * [backup-simplify]: Simplify (* -1 -1) into 1
2.748 * [backup-simplify]: Simplify (+ 0 1) into 1
2.748 * [backup-simplify]: Simplify (sqrt 1) into 1
2.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.751 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.751 * [backup-simplify]: Simplify (+ 0 0) into 0
2.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.752 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.752 * [taylor]: Taking taylor expansion of re in im
2.752 * [backup-simplify]: Simplify re into re
2.752 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.752 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.752 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.752 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.752 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.752 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.752 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.752 * [taylor]: Taking taylor expansion of -1 in re
2.752 * [backup-simplify]: Simplify -1 into -1
2.752 * [taylor]: Taking taylor expansion of re in re
2.752 * [backup-simplify]: Simplify 0 into 0
2.752 * [backup-simplify]: Simplify 1 into 1
2.753 * [backup-simplify]: Simplify (/ -1 1) into -1
2.753 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.753 * [taylor]: Taking taylor expansion of -1 in re
2.753 * [backup-simplify]: Simplify -1 into -1
2.753 * [taylor]: Taking taylor expansion of re in re
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 1 into 1
2.753 * [backup-simplify]: Simplify (/ -1 1) into -1
2.753 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.753 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.753 * [taylor]: Taking taylor expansion of -1 in re
2.753 * [backup-simplify]: Simplify -1 into -1
2.753 * [taylor]: Taking taylor expansion of im in re
2.753 * [backup-simplify]: Simplify im into im
2.753 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.753 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.753 * [taylor]: Taking taylor expansion of -1 in re
2.753 * [backup-simplify]: Simplify -1 into -1
2.753 * [taylor]: Taking taylor expansion of im in re
2.754 * [backup-simplify]: Simplify im into im
2.754 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.754 * [backup-simplify]: Simplify (* -1 -1) into 1
2.754 * [backup-simplify]: Simplify (+ 1 0) into 1
2.755 * [backup-simplify]: Simplify (sqrt 1) into 1
2.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.757 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.757 * [backup-simplify]: Simplify (+ 0 0) into 0
2.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.758 * [taylor]: Taking taylor expansion of re in re
2.758 * [backup-simplify]: Simplify 0 into 0
2.758 * [backup-simplify]: Simplify 1 into 1
2.758 * [backup-simplify]: Simplify (/ 1 1) into 1
2.758 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.758 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.759 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.759 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.759 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.759 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.759 * [taylor]: Taking taylor expansion of -1 in re
2.759 * [backup-simplify]: Simplify -1 into -1
2.759 * [taylor]: Taking taylor expansion of re in re
2.759 * [backup-simplify]: Simplify 0 into 0
2.759 * [backup-simplify]: Simplify 1 into 1
2.759 * [backup-simplify]: Simplify (/ -1 1) into -1
2.759 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.759 * [taylor]: Taking taylor expansion of -1 in re
2.759 * [backup-simplify]: Simplify -1 into -1
2.759 * [taylor]: Taking taylor expansion of re in re
2.759 * [backup-simplify]: Simplify 0 into 0
2.759 * [backup-simplify]: Simplify 1 into 1
2.760 * [backup-simplify]: Simplify (/ -1 1) into -1
2.760 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.760 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.760 * [taylor]: Taking taylor expansion of -1 in re
2.760 * [backup-simplify]: Simplify -1 into -1
2.760 * [taylor]: Taking taylor expansion of im in re
2.760 * [backup-simplify]: Simplify im into im
2.760 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.760 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.760 * [taylor]: Taking taylor expansion of -1 in re
2.760 * [backup-simplify]: Simplify -1 into -1
2.760 * [taylor]: Taking taylor expansion of im in re
2.760 * [backup-simplify]: Simplify im into im
2.760 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.761 * [backup-simplify]: Simplify (* -1 -1) into 1
2.761 * [backup-simplify]: Simplify (+ 1 0) into 1
2.762 * [backup-simplify]: Simplify (sqrt 1) into 1
2.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.764 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.764 * [backup-simplify]: Simplify (+ 0 0) into 0
2.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.765 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.765 * [taylor]: Taking taylor expansion of re in re
2.765 * [backup-simplify]: Simplify 0 into 0
2.765 * [backup-simplify]: Simplify 1 into 1
2.766 * [backup-simplify]: Simplify (/ 1 1) into 1
2.766 * [backup-simplify]: Simplify (- 1) into -1
2.767 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.767 * [taylor]: Taking taylor expansion of 0 in im
2.767 * [backup-simplify]: Simplify 0 into 0
2.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.768 * [backup-simplify]: Simplify (- 0) into 0
2.768 * [backup-simplify]: Simplify (+ 0 0) into 0
2.768 * [taylor]: Taking taylor expansion of 0 in im
2.768 * [backup-simplify]: Simplify 0 into 0
2.768 * [backup-simplify]: Simplify 0 into 0
2.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.772 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
2.772 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.774 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.775 * [backup-simplify]: Simplify (- 0) into 0
2.775 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.775 * [taylor]: Taking taylor expansion of 1/2 in im
2.775 * [backup-simplify]: Simplify 1/2 into 1/2
2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.776 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.776 * [taylor]: Taking taylor expansion of im in im
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 1 into 1
2.776 * [backup-simplify]: Simplify (* 1 1) into 1
2.777 * [backup-simplify]: Simplify (/ 1 1) into 1
2.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.782 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.782 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.782 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.783 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
2.783 * [backup-simplify]: Simplify (+ 0 0) into 0
2.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.785 * [backup-simplify]: Simplify (- 0) into 0
2.786 * [backup-simplify]: Simplify (+ 0 0) into 0
2.786 * [taylor]: Taking taylor expansion of 0 in im
2.786 * [backup-simplify]: Simplify 0 into 0
2.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
2.790 * [backup-simplify]: Simplify (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) into (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
2.790 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in (re im) around 0
2.790 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in im
2.790 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im
2.790 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
2.790 * [taylor]: Taking taylor expansion of (hypot re im) in im
2.790 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.790 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
2.790 * [taylor]: Taking taylor expansion of (* re re) in im
2.790 * [taylor]: Taking taylor expansion of re in im
2.790 * [backup-simplify]: Simplify re into re
2.790 * [taylor]: Taking taylor expansion of re in im
2.790 * [backup-simplify]: Simplify re into re
2.790 * [taylor]: Taking taylor expansion of (* im im) in im
2.790 * [taylor]: Taking taylor expansion of im in im
2.790 * [backup-simplify]: Simplify 0 into 0
2.790 * [backup-simplify]: Simplify 1 into 1
2.790 * [taylor]: Taking taylor expansion of im in im
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 1 into 1
2.791 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.791 * [backup-simplify]: Simplify (* 0 0) into 0
2.791 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.791 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.791 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.792 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.793 * [backup-simplify]: Simplify (+ 0 0) into 0
2.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.793 * [taylor]: Taking taylor expansion of re in im
2.793 * [backup-simplify]: Simplify re into re
2.793 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
2.793 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
2.793 * [backup-simplify]: Simplify (+ 0 0) into 0
2.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
2.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.793 * [taylor]: Taking taylor expansion of 2.0 in im
2.794 * [backup-simplify]: Simplify 2.0 into 2.0
2.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.795 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re
2.795 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
2.795 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.795 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.795 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.795 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.795 * [taylor]: Taking taylor expansion of (* re re) in re
2.795 * [taylor]: Taking taylor expansion of re in re
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 1 into 1
2.795 * [taylor]: Taking taylor expansion of re in re
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 1 into 1
2.795 * [taylor]: Taking taylor expansion of (* im im) in re
2.795 * [taylor]: Taking taylor expansion of im in re
2.795 * [backup-simplify]: Simplify im into im
2.795 * [taylor]: Taking taylor expansion of im in re
2.795 * [backup-simplify]: Simplify im into im
2.796 * [backup-simplify]: Simplify (* 0 0) into 0
2.796 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.796 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.796 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.797 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.797 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.797 * [backup-simplify]: Simplify (+ 0 0) into 0
2.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.797 * [taylor]: Taking taylor expansion of re in re
2.797 * [backup-simplify]: Simplify 0 into 0
2.797 * [backup-simplify]: Simplify 1 into 1
2.798 * [backup-simplify]: Simplify (+ im 0) into im
2.798 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.798 * [backup-simplify]: Simplify (+ 0 1) into 1
2.798 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
2.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.798 * [taylor]: Taking taylor expansion of 2.0 in re
2.798 * [backup-simplify]: Simplify 2.0 into 2.0
2.799 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.799 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re
2.799 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
2.799 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.799 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.800 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.800 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.800 * [taylor]: Taking taylor expansion of (* re re) in re
2.800 * [taylor]: Taking taylor expansion of re in re
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 1 into 1
2.800 * [taylor]: Taking taylor expansion of re in re
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 1 into 1
2.800 * [taylor]: Taking taylor expansion of (* im im) in re
2.800 * [taylor]: Taking taylor expansion of im in re
2.800 * [backup-simplify]: Simplify im into im
2.800 * [taylor]: Taking taylor expansion of im in re
2.800 * [backup-simplify]: Simplify im into im
2.800 * [backup-simplify]: Simplify (* 0 0) into 0
2.800 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.801 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.801 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.801 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.802 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.802 * [backup-simplify]: Simplify (+ 0 0) into 0
2.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.802 * [taylor]: Taking taylor expansion of re in re
2.802 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify 1 into 1
2.802 * [backup-simplify]: Simplify (+ im 0) into im
2.802 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.803 * [backup-simplify]: Simplify (+ 0 1) into 1
2.803 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
2.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.803 * [taylor]: Taking taylor expansion of 2.0 in re
2.803 * [backup-simplify]: Simplify 2.0 into 2.0
2.803 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.805 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
2.805 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
2.805 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.805 * [taylor]: Taking taylor expansion of 2.0 in im
2.805 * [backup-simplify]: Simplify 2.0 into 2.0
2.805 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.806 * [taylor]: Taking taylor expansion of (sqrt im) in im
2.806 * [taylor]: Taking taylor expansion of im in im
2.806 * [backup-simplify]: Simplify 0 into 0
2.806 * [backup-simplify]: Simplify 1 into 1
2.806 * [backup-simplify]: Simplify (sqrt 0) into 0
2.808 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.808 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
2.809 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
2.809 * [taylor]: Taking taylor expansion of 1/2 in im
2.809 * [backup-simplify]: Simplify 1/2 into 1/2
2.809 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
2.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.809 * [taylor]: Taking taylor expansion of 2.0 in im
2.809 * [backup-simplify]: Simplify 2.0 into 2.0
2.810 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.811 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
2.811 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.811 * [taylor]: Taking taylor expansion of im in im
2.811 * [backup-simplify]: Simplify 0 into 0
2.811 * [backup-simplify]: Simplify 1 into 1
2.811 * [backup-simplify]: Simplify (/ 1 1) into 1
2.811 * [backup-simplify]: Simplify (sqrt 0) into 0
2.813 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.815 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.815 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.823 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.824 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.827 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.828 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.829 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.831 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.831 * [backup-simplify]: Simplify (+ 1 0) into 1
2.832 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.832 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.833 * [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))))
2.834 * [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)))))
2.834 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
2.834 * [taylor]: Taking taylor expansion of 1/8 in im
2.834 * [backup-simplify]: Simplify 1/8 into 1/8
2.834 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
2.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.834 * [taylor]: Taking taylor expansion of 2.0 in im
2.834 * [backup-simplify]: Simplify 2.0 into 2.0
2.834 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
2.835 * [taylor]: Taking taylor expansion of (pow im 3) in im
2.835 * [taylor]: Taking taylor expansion of im in im
2.835 * [backup-simplify]: Simplify 0 into 0
2.835 * [backup-simplify]: Simplify 1 into 1
2.836 * [backup-simplify]: Simplify (* 1 1) into 1
2.836 * [backup-simplify]: Simplify (* 1 1) into 1
2.836 * [backup-simplify]: Simplify (/ 1 1) into 1
2.837 * [backup-simplify]: Simplify (sqrt 0) into 0
2.838 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.844 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.845 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.847 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.850 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.850 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.855 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.857 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.861 * [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)))))))
2.862 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))
2.862 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
2.862 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im
2.862 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.862 * [taylor]: Taking taylor expansion of 2.0 in im
2.862 * [backup-simplify]: Simplify 2.0 into 2.0
2.863 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im
2.863 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
2.864 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.864 * [taylor]: Taking taylor expansion of re in im
2.864 * [backup-simplify]: Simplify re into re
2.864 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.864 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
2.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.864 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
2.864 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
2.864 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.864 * [taylor]: Taking taylor expansion of re in im
2.864 * [backup-simplify]: Simplify re into re
2.864 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.864 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.864 * [taylor]: Taking taylor expansion of re in im
2.864 * [backup-simplify]: Simplify re into re
2.864 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.864 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
2.864 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.864 * [taylor]: Taking taylor expansion of im in im
2.864 * [backup-simplify]: Simplify 0 into 0
2.864 * [backup-simplify]: Simplify 1 into 1
2.865 * [backup-simplify]: Simplify (/ 1 1) into 1
2.865 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.865 * [taylor]: Taking taylor expansion of im in im
2.865 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify 1 into 1
2.865 * [backup-simplify]: Simplify (/ 1 1) into 1
2.866 * [backup-simplify]: Simplify (* 1 1) into 1
2.866 * [backup-simplify]: Simplify (+ 0 1) into 1
2.866 * [backup-simplify]: Simplify (sqrt 1) into 1
2.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.869 * [backup-simplify]: Simplify (+ 0 0) into 0
2.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.870 * [backup-simplify]: Simplify (+ 0 1) into 1
2.870 * [backup-simplify]: Simplify (sqrt 0) into 0
2.872 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.872 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
2.872 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.872 * [taylor]: Taking taylor expansion of 2.0 in re
2.872 * [backup-simplify]: Simplify 2.0 into 2.0
2.872 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
2.873 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.873 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.873 * [taylor]: Taking taylor expansion of re in re
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [backup-simplify]: Simplify 1 into 1
2.873 * [backup-simplify]: Simplify (/ 1 1) into 1
2.874 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.874 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.874 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.874 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.874 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.874 * [taylor]: Taking taylor expansion of re in re
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify 1 into 1
2.874 * [backup-simplify]: Simplify (/ 1 1) into 1
2.874 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.874 * [taylor]: Taking taylor expansion of re in re
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify 1 into 1
2.875 * [backup-simplify]: Simplify (/ 1 1) into 1
2.875 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.875 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.875 * [taylor]: Taking taylor expansion of im in re
2.875 * [backup-simplify]: Simplify im into im
2.875 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.875 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.875 * [taylor]: Taking taylor expansion of im in re
2.875 * [backup-simplify]: Simplify im into im
2.875 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.876 * [backup-simplify]: Simplify (* 1 1) into 1
2.876 * [backup-simplify]: Simplify (+ 1 0) into 1
2.876 * [backup-simplify]: Simplify (sqrt 1) into 1
2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.879 * [backup-simplify]: Simplify (+ 0 0) into 0
2.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.880 * [backup-simplify]: Simplify (+ 1 1) into 2
2.880 * [backup-simplify]: Simplify (sqrt 0) into 0
2.881 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.881 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
2.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.882 * [taylor]: Taking taylor expansion of 2.0 in re
2.882 * [backup-simplify]: Simplify 2.0 into 2.0
2.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
2.883 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.883 * [taylor]: Taking taylor expansion of re in re
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 1 into 1
2.883 * [backup-simplify]: Simplify (/ 1 1) into 1
2.883 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.883 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.883 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.883 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.883 * [taylor]: Taking taylor expansion of re in re
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 1 into 1
2.884 * [backup-simplify]: Simplify (/ 1 1) into 1
2.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.884 * [taylor]: Taking taylor expansion of re in re
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 1 into 1
2.884 * [backup-simplify]: Simplify (/ 1 1) into 1
2.884 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.884 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.884 * [taylor]: Taking taylor expansion of im in re
2.884 * [backup-simplify]: Simplify im into im
2.884 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.885 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.885 * [taylor]: Taking taylor expansion of im in re
2.885 * [backup-simplify]: Simplify im into im
2.885 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.885 * [backup-simplify]: Simplify (* 1 1) into 1
2.885 * [backup-simplify]: Simplify (+ 1 0) into 1
2.886 * [backup-simplify]: Simplify (sqrt 1) into 1
2.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.888 * [backup-simplify]: Simplify (+ 0 0) into 0
2.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.889 * [backup-simplify]: Simplify (+ 1 1) into 2
2.889 * [backup-simplify]: Simplify (sqrt 0) into 0
2.891 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.891 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.891 * [taylor]: Taking taylor expansion of 0 in im
2.891 * [backup-simplify]: Simplify 0 into 0
2.893 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.893 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.893 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.893 * [taylor]: Taking taylor expansion of +nan.0 in im
2.893 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.893 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.893 * [taylor]: Taking taylor expansion of 2.0 in im
2.893 * [backup-simplify]: Simplify 2.0 into 2.0
2.894 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.894 * [backup-simplify]: Simplify 0 into 0
2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.896 * [backup-simplify]: Simplify (+ 0 0) into 0
2.898 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.899 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.902 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.902 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.902 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.902 * [taylor]: Taking taylor expansion of +nan.0 in im
2.902 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.902 * [taylor]: Taking taylor expansion of 2.0 in im
2.902 * [backup-simplify]: Simplify 2.0 into 2.0
2.903 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.904 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.906 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.907 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.907 * [backup-simplify]: Simplify 0 into 0
2.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.911 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
2.911 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.912 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.913 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.915 * [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))
2.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.916 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
2.916 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
2.916 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
2.916 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.916 * [taylor]: Taking taylor expansion of +nan.0 in im
2.917 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.917 * [taylor]: Taking taylor expansion of 2.0 in im
2.917 * [backup-simplify]: Simplify 2.0 into 2.0
2.917 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.917 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
2.917 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.917 * [taylor]: Taking taylor expansion of +nan.0 in im
2.917 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.917 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.917 * [taylor]: Taking taylor expansion of 2.0 in im
2.917 * [backup-simplify]: Simplify 2.0 into 2.0
2.918 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.918 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.918 * [taylor]: Taking taylor expansion of im in im
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify 1 into 1
2.918 * [backup-simplify]: Simplify (* 1 1) into 1
2.919 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.920 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.921 * [backup-simplify]: Simplify (- 0) into 0
2.921 * [backup-simplify]: Simplify (+ 0 0) into 0
2.921 * [backup-simplify]: Simplify (- 0) into 0
2.921 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.922 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.923 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.924 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.924 * [backup-simplify]: Simplify (- 0) into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.926 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
2.927 * [backup-simplify]: Simplify (+ 0 0) into 0
2.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.927 * [backup-simplify]: Simplify (+ 0 0) into 0
2.928 * [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)))
2.929 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.930 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
2.930 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
2.930 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
2.930 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.930 * [taylor]: Taking taylor expansion of +nan.0 in im
2.930 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.930 * [taylor]: Taking taylor expansion of 2.0 in im
2.930 * [backup-simplify]: Simplify 2.0 into 2.0
2.931 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.931 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
2.931 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.931 * [taylor]: Taking taylor expansion of +nan.0 in im
2.931 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.931 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.931 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.931 * [taylor]: Taking taylor expansion of 2.0 in im
2.931 * [backup-simplify]: Simplify 2.0 into 2.0
2.932 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.932 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.932 * [taylor]: Taking taylor expansion of im in im
2.932 * [backup-simplify]: Simplify 0 into 0
2.932 * [backup-simplify]: Simplify 1 into 1
2.932 * [backup-simplify]: Simplify (* 1 1) into 1
2.933 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.934 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.934 * [backup-simplify]: Simplify (- 0) into 0
2.935 * [backup-simplify]: Simplify (+ 0 0) into 0
2.935 * [backup-simplify]: Simplify (- 0) into 0
2.935 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.936 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.938 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
2.938 * [backup-simplify]: Simplify (- 0) into 0
2.939 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
2.940 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
2.941 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.947 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
2.948 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt 2.0)) into (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0))
2.948 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
2.948 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in im
2.948 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
2.948 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
2.948 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
2.948 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.948 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
2.948 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
2.948 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.948 * [taylor]: Taking taylor expansion of -1 in im
2.948 * [backup-simplify]: Simplify -1 into -1
2.948 * [taylor]: Taking taylor expansion of re in im
2.948 * [backup-simplify]: Simplify re into re
2.948 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.949 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.949 * [taylor]: Taking taylor expansion of -1 in im
2.949 * [backup-simplify]: Simplify -1 into -1
2.949 * [taylor]: Taking taylor expansion of re in im
2.949 * [backup-simplify]: Simplify re into re
2.949 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.949 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
2.949 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.949 * [taylor]: Taking taylor expansion of -1 in im
2.949 * [backup-simplify]: Simplify -1 into -1
2.949 * [taylor]: Taking taylor expansion of im in im
2.949 * [backup-simplify]: Simplify 0 into 0
2.949 * [backup-simplify]: Simplify 1 into 1
2.949 * [backup-simplify]: Simplify (/ -1 1) into -1
2.949 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.949 * [taylor]: Taking taylor expansion of -1 in im
2.949 * [backup-simplify]: Simplify -1 into -1
2.949 * [taylor]: Taking taylor expansion of im in im
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 1 into 1
2.950 * [backup-simplify]: Simplify (/ -1 1) into -1
2.950 * [backup-simplify]: Simplify (* -1 -1) into 1
2.951 * [backup-simplify]: Simplify (+ 0 1) into 1
2.951 * [backup-simplify]: Simplify (sqrt 1) into 1
2.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.954 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.954 * [backup-simplify]: Simplify (+ 0 0) into 0
2.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.955 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.955 * [taylor]: Taking taylor expansion of re in im
2.955 * [backup-simplify]: Simplify re into re
2.955 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.955 * [backup-simplify]: Simplify (+ 1 0) into 1
2.955 * [backup-simplify]: Simplify (sqrt 0) into 0
2.957 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.957 * [taylor]: Taking taylor expansion of 2.0 in im
2.957 * [backup-simplify]: Simplify 2.0 into 2.0
2.957 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.958 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re
2.958 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
2.958 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.958 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.958 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.959 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.959 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.959 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.959 * [taylor]: Taking taylor expansion of -1 in re
2.959 * [backup-simplify]: Simplify -1 into -1
2.959 * [taylor]: Taking taylor expansion of re in re
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 1 into 1
2.959 * [backup-simplify]: Simplify (/ -1 1) into -1
2.959 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.959 * [taylor]: Taking taylor expansion of -1 in re
2.959 * [backup-simplify]: Simplify -1 into -1
2.959 * [taylor]: Taking taylor expansion of re in re
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 1 into 1
2.959 * [backup-simplify]: Simplify (/ -1 1) into -1
2.960 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.960 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.960 * [taylor]: Taking taylor expansion of -1 in re
2.960 * [backup-simplify]: Simplify -1 into -1
2.960 * [taylor]: Taking taylor expansion of im in re
2.960 * [backup-simplify]: Simplify im into im
2.960 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.960 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.960 * [taylor]: Taking taylor expansion of -1 in re
2.960 * [backup-simplify]: Simplify -1 into -1
2.960 * [taylor]: Taking taylor expansion of im in re
2.960 * [backup-simplify]: Simplify im into im
2.960 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.960 * [backup-simplify]: Simplify (* -1 -1) into 1
2.960 * [backup-simplify]: Simplify (+ 1 0) into 1
2.960 * [backup-simplify]: Simplify (sqrt 1) into 1
2.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.962 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.962 * [backup-simplify]: Simplify (+ 0 0) into 0
2.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.962 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.962 * [taylor]: Taking taylor expansion of re in re
2.962 * [backup-simplify]: Simplify 0 into 0
2.962 * [backup-simplify]: Simplify 1 into 1
2.963 * [backup-simplify]: Simplify (/ 1 1) into 1
2.963 * [backup-simplify]: Simplify (- 1) into -1
2.963 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.964 * [backup-simplify]: Simplify (- 0) into 0
2.964 * [backup-simplify]: Simplify (+ 0 0) into 0
2.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.966 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.966 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
2.966 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.967 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.967 * [backup-simplify]: Simplify (- 0) into 0
2.968 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.968 * [backup-simplify]: Simplify (sqrt 0) into 0
2.968 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
2.968 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.968 * [taylor]: Taking taylor expansion of 2.0 in re
2.968 * [backup-simplify]: Simplify 2.0 into 2.0
2.968 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.969 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re
2.969 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
2.969 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.969 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.969 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.969 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.969 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.969 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.969 * [taylor]: Taking taylor expansion of -1 in re
2.969 * [backup-simplify]: Simplify -1 into -1
2.969 * [taylor]: Taking taylor expansion of re in re
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify 1 into 1
2.969 * [backup-simplify]: Simplify (/ -1 1) into -1
2.969 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.969 * [taylor]: Taking taylor expansion of -1 in re
2.970 * [backup-simplify]: Simplify -1 into -1
2.970 * [taylor]: Taking taylor expansion of re in re
2.970 * [backup-simplify]: Simplify 0 into 0
2.970 * [backup-simplify]: Simplify 1 into 1
2.970 * [backup-simplify]: Simplify (/ -1 1) into -1
2.970 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.970 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.970 * [taylor]: Taking taylor expansion of -1 in re
2.970 * [backup-simplify]: Simplify -1 into -1
2.970 * [taylor]: Taking taylor expansion of im in re
2.970 * [backup-simplify]: Simplify im into im
2.970 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.970 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.970 * [taylor]: Taking taylor expansion of -1 in re
2.970 * [backup-simplify]: Simplify -1 into -1
2.970 * [taylor]: Taking taylor expansion of im in re
2.970 * [backup-simplify]: Simplify im into im
2.970 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.970 * [backup-simplify]: Simplify (* -1 -1) into 1
2.971 * [backup-simplify]: Simplify (+ 1 0) into 1
2.971 * [backup-simplify]: Simplify (sqrt 1) into 1
2.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.972 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.972 * [backup-simplify]: Simplify (+ 0 0) into 0
2.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.973 * [taylor]: Taking taylor expansion of re in re
2.973 * [backup-simplify]: Simplify 0 into 0
2.973 * [backup-simplify]: Simplify 1 into 1
2.973 * [backup-simplify]: Simplify (/ 1 1) into 1
2.973 * [backup-simplify]: Simplify (- 1) into -1
2.973 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.974 * [backup-simplify]: Simplify (- 0) into 0
2.974 * [backup-simplify]: Simplify (+ 0 0) into 0
2.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.976 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.976 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
2.976 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.977 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.978 * [backup-simplify]: Simplify (- 0) into 0
2.978 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.978 * [backup-simplify]: Simplify (sqrt 0) into 0
2.978 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
2.978 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.979 * [taylor]: Taking taylor expansion of 2.0 in re
2.979 * [backup-simplify]: Simplify 2.0 into 2.0
2.979 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.980 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
2.980 * [taylor]: Taking taylor expansion of 0 in im
2.980 * [backup-simplify]: Simplify 0 into 0
2.980 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
2.980 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
2.980 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.980 * [taylor]: Taking taylor expansion of +nan.0 in im
2.980 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.980 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.980 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.980 * [taylor]: Taking taylor expansion of 2.0 in im
2.980 * [backup-simplify]: Simplify 2.0 into 2.0
2.981 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.981 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.981 * [taylor]: Taking taylor expansion of im in im
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify 1 into 1
2.981 * [backup-simplify]: Simplify (* 1 1) into 1
2.982 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.983 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.984 * [backup-simplify]: Simplify (- 0) into 0
2.984 * [backup-simplify]: Simplify 0 into 0
2.984 * [backup-simplify]: Simplify 0 into 0
2.984 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.986 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.986 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.986 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.986 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
2.987 * [backup-simplify]: Simplify (+ 0 0) into 0
2.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.988 * [backup-simplify]: Simplify (- 0) into 0
2.989 * [backup-simplify]: Simplify (+ 0 0) into 0
2.990 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
2.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (* (/ +nan.0 (pow im 4)) (sqrt 2.0)))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
2.991 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
2.991 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
2.991 * [taylor]: Taking taylor expansion of +nan.0 in im
2.991 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.991 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
2.991 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.991 * [taylor]: Taking taylor expansion of 2.0 in im
2.991 * [backup-simplify]: Simplify 2.0 into 2.0
2.992 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.992 * [taylor]: Taking taylor expansion of (pow im 4) in im
2.993 * [taylor]: Taking taylor expansion of im in im
2.993 * [backup-simplify]: Simplify 0 into 0
2.993 * [backup-simplify]: Simplify 1 into 1
2.993 * [backup-simplify]: Simplify (* 1 1) into 1
2.993 * [backup-simplify]: Simplify (* 1 1) into 1
2.994 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.995 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.006 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.006 * [backup-simplify]: Simplify (- 0) into 0
3.006 * [backup-simplify]: Simplify 0 into 0
3.008 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.011 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.011 * [backup-simplify]: Simplify (- 0) into 0
3.011 * [backup-simplify]: Simplify 0 into 0
3.011 * [backup-simplify]: Simplify 0 into 0
3.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.015 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
3.016 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.016 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.016 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
3.017 * [backup-simplify]: Simplify (+ 0 0) into 0
3.018 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.019 * [backup-simplify]: Simplify (- 0) into 0
3.020 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.021 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
3.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (+ (* (/ +nan.0 (pow im 4)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
3.022 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
3.022 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
3.022 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.023 * [taylor]: Taking taylor expansion of +nan.0 in im
3.023 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.023 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.023 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.023 * [taylor]: Taking taylor expansion of 2.0 in im
3.023 * [backup-simplify]: Simplify 2.0 into 2.0
3.023 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.024 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.024 * [taylor]: Taking taylor expansion of im in im
3.024 * [backup-simplify]: Simplify 0 into 0
3.024 * [backup-simplify]: Simplify 1 into 1
3.024 * [backup-simplify]: Simplify (* 1 1) into 1
3.025 * [backup-simplify]: Simplify (* 1 1) into 1
3.026 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.026 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
3.026 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
3.026 * [taylor]: Taking taylor expansion of +nan.0 in im
3.026 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.026 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
3.026 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.026 * [taylor]: Taking taylor expansion of 2.0 in im
3.026 * [backup-simplify]: Simplify 2.0 into 2.0
3.026 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.027 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.027 * [taylor]: Taking taylor expansion of im in im
3.027 * [backup-simplify]: Simplify 0 into 0
3.027 * [backup-simplify]: Simplify 1 into 1
3.027 * [backup-simplify]: Simplify (* 1 1) into 1
3.028 * [backup-simplify]: Simplify (* 1 1) into 1
3.028 * [backup-simplify]: Simplify (* 1 1) into 1
3.029 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.030 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.041 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.043 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.045 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.061 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.061 * [backup-simplify]: Simplify (- 0) into 0
3.062 * [backup-simplify]: Simplify (+ 0 0) into 0
3.062 * [backup-simplify]: Simplify (- 0) into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
3.062 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
3.062 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
3.062 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.062 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.062 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.062 * [taylor]: Taking taylor expansion of (* re re) in im
3.062 * [taylor]: Taking taylor expansion of re in im
3.062 * [backup-simplify]: Simplify re into re
3.062 * [taylor]: Taking taylor expansion of re in im
3.062 * [backup-simplify]: Simplify re into re
3.062 * [taylor]: Taking taylor expansion of (* im im) in im
3.062 * [taylor]: Taking taylor expansion of im in im
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 1 into 1
3.062 * [taylor]: Taking taylor expansion of im in im
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 1 into 1
3.062 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.063 * [backup-simplify]: Simplify (* 0 0) into 0
3.063 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.063 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.063 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.063 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.064 * [backup-simplify]: Simplify (+ 0 0) into 0
3.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.064 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.064 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.064 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.064 * [taylor]: Taking taylor expansion of (* re re) in re
3.064 * [taylor]: Taking taylor expansion of re in re
3.064 * [backup-simplify]: Simplify 0 into 0
3.064 * [backup-simplify]: Simplify 1 into 1
3.064 * [taylor]: Taking taylor expansion of re in re
3.064 * [backup-simplify]: Simplify 0 into 0
3.064 * [backup-simplify]: Simplify 1 into 1
3.064 * [taylor]: Taking taylor expansion of (* im im) in re
3.064 * [taylor]: Taking taylor expansion of im in re
3.064 * [backup-simplify]: Simplify im into im
3.064 * [taylor]: Taking taylor expansion of im in re
3.064 * [backup-simplify]: Simplify im into im
3.064 * [backup-simplify]: Simplify (* 0 0) into 0
3.064 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.064 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.064 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.065 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.065 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.065 * [backup-simplify]: Simplify (+ 0 0) into 0
3.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.065 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.065 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.065 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.065 * [taylor]: Taking taylor expansion of (* re re) in re
3.065 * [taylor]: Taking taylor expansion of re in re
3.065 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify 1 into 1
3.065 * [taylor]: Taking taylor expansion of re in re
3.065 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify 1 into 1
3.065 * [taylor]: Taking taylor expansion of (* im im) in re
3.065 * [taylor]: Taking taylor expansion of im in re
3.065 * [backup-simplify]: Simplify im into im
3.065 * [taylor]: Taking taylor expansion of im in re
3.065 * [backup-simplify]: Simplify im into im
3.066 * [backup-simplify]: Simplify (* 0 0) into 0
3.066 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.066 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.066 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.066 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.066 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.067 * [backup-simplify]: Simplify (+ 0 0) into 0
3.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.067 * [taylor]: Taking taylor expansion of im in im
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 1 into 1
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [taylor]: Taking taylor expansion of 0 in im
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 1 into 1
3.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.068 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.068 * [backup-simplify]: Simplify (+ 1 0) into 1
3.068 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.068 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.068 * [taylor]: Taking taylor expansion of 1/2 in im
3.068 * [backup-simplify]: Simplify 1/2 into 1/2
3.068 * [taylor]: Taking taylor expansion of im in im
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.069 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.069 * [backup-simplify]: Simplify 0 into 0
3.069 * [backup-simplify]: Simplify 0 into 0
3.069 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.070 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.071 * [backup-simplify]: Simplify (+ 0 0) into 0
3.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.071 * [taylor]: Taking taylor expansion of 0 in im
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.072 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
3.072 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
3.072 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.072 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.072 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.072 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.072 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.072 * [taylor]: Taking taylor expansion of re in im
3.072 * [backup-simplify]: Simplify re into re
3.072 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.072 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.072 * [taylor]: Taking taylor expansion of re in im
3.072 * [backup-simplify]: Simplify re into re
3.072 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.072 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.072 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.072 * [taylor]: Taking taylor expansion of im in im
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 1 into 1
3.072 * [backup-simplify]: Simplify (/ 1 1) into 1
3.072 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.072 * [taylor]: Taking taylor expansion of im in im
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 1 into 1
3.072 * [backup-simplify]: Simplify (/ 1 1) into 1
3.073 * [backup-simplify]: Simplify (* 1 1) into 1
3.073 * [backup-simplify]: Simplify (+ 0 1) into 1
3.073 * [backup-simplify]: Simplify (sqrt 1) into 1
3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.075 * [backup-simplify]: Simplify (+ 0 0) into 0
3.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.075 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.075 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.075 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.075 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.075 * [taylor]: Taking taylor expansion of re in re
3.075 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify 1 into 1
3.076 * [backup-simplify]: Simplify (/ 1 1) into 1
3.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.076 * [taylor]: Taking taylor expansion of re in re
3.076 * [backup-simplify]: Simplify 0 into 0
3.076 * [backup-simplify]: Simplify 1 into 1
3.076 * [backup-simplify]: Simplify (/ 1 1) into 1
3.076 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.076 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.076 * [taylor]: Taking taylor expansion of im in re
3.076 * [backup-simplify]: Simplify im into im
3.076 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.076 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.076 * [taylor]: Taking taylor expansion of im in re
3.076 * [backup-simplify]: Simplify im into im
3.076 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.076 * [backup-simplify]: Simplify (* 1 1) into 1
3.077 * [backup-simplify]: Simplify (+ 1 0) into 1
3.077 * [backup-simplify]: Simplify (sqrt 1) into 1
3.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.078 * [backup-simplify]: Simplify (+ 0 0) into 0
3.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.079 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.079 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.079 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.079 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.079 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.079 * [taylor]: Taking taylor expansion of re in re
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (/ 1 1) into 1
3.079 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.079 * [taylor]: Taking taylor expansion of re in re
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (/ 1 1) into 1
3.079 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.079 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.079 * [taylor]: Taking taylor expansion of im in re
3.080 * [backup-simplify]: Simplify im into im
3.080 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.080 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.080 * [taylor]: Taking taylor expansion of im in re
3.080 * [backup-simplify]: Simplify im into im
3.080 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.080 * [backup-simplify]: Simplify (* 1 1) into 1
3.080 * [backup-simplify]: Simplify (+ 1 0) into 1
3.080 * [backup-simplify]: Simplify (sqrt 1) into 1
3.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.082 * [backup-simplify]: Simplify (+ 0 0) into 0
3.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.083 * [taylor]: Taking taylor expansion of 1 in im
3.083 * [backup-simplify]: Simplify 1 into 1
3.083 * [taylor]: Taking taylor expansion of 0 in im
3.083 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify 1 into 1
3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.084 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.084 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.085 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.085 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.085 * [taylor]: Taking taylor expansion of 1/2 in im
3.085 * [backup-simplify]: Simplify 1/2 into 1/2
3.085 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.085 * [taylor]: Taking taylor expansion of im in im
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify 1 into 1
3.086 * [backup-simplify]: Simplify (* 1 1) into 1
3.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.089 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.089 * [backup-simplify]: Simplify (+ 0 0) into 0
3.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.089 * [taylor]: Taking taylor expansion of 0 in im
3.089 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.091 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
3.091 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
3.091 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.091 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.091 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.091 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.091 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.091 * [taylor]: Taking taylor expansion of -1 in im
3.091 * [backup-simplify]: Simplify -1 into -1
3.091 * [taylor]: Taking taylor expansion of re in im
3.091 * [backup-simplify]: Simplify re into re
3.091 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.091 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.091 * [taylor]: Taking taylor expansion of -1 in im
3.091 * [backup-simplify]: Simplify -1 into -1
3.091 * [taylor]: Taking taylor expansion of re in im
3.091 * [backup-simplify]: Simplify re into re
3.091 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.091 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.091 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.091 * [taylor]: Taking taylor expansion of -1 in im
3.091 * [backup-simplify]: Simplify -1 into -1
3.091 * [taylor]: Taking taylor expansion of im in im
3.091 * [backup-simplify]: Simplify 0 into 0
3.091 * [backup-simplify]: Simplify 1 into 1
3.091 * [backup-simplify]: Simplify (/ -1 1) into -1
3.091 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.091 * [taylor]: Taking taylor expansion of -1 in im
3.091 * [backup-simplify]: Simplify -1 into -1
3.091 * [taylor]: Taking taylor expansion of im in im
3.091 * [backup-simplify]: Simplify 0 into 0
3.091 * [backup-simplify]: Simplify 1 into 1
3.092 * [backup-simplify]: Simplify (/ -1 1) into -1
3.092 * [backup-simplify]: Simplify (* -1 -1) into 1
3.092 * [backup-simplify]: Simplify (+ 0 1) into 1
3.092 * [backup-simplify]: Simplify (sqrt 1) into 1
3.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.094 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.094 * [backup-simplify]: Simplify (+ 0 0) into 0
3.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.094 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.095 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.095 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.095 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.095 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.095 * [taylor]: Taking taylor expansion of -1 in re
3.095 * [backup-simplify]: Simplify -1 into -1
3.095 * [taylor]: Taking taylor expansion of re in re
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 1 into 1
3.095 * [backup-simplify]: Simplify (/ -1 1) into -1
3.095 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.095 * [taylor]: Taking taylor expansion of -1 in re
3.095 * [backup-simplify]: Simplify -1 into -1
3.095 * [taylor]: Taking taylor expansion of re in re
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 1 into 1
3.095 * [backup-simplify]: Simplify (/ -1 1) into -1
3.095 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.096 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.096 * [taylor]: Taking taylor expansion of -1 in re
3.096 * [backup-simplify]: Simplify -1 into -1
3.096 * [taylor]: Taking taylor expansion of im in re
3.096 * [backup-simplify]: Simplify im into im
3.096 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.096 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.096 * [taylor]: Taking taylor expansion of -1 in re
3.096 * [backup-simplify]: Simplify -1 into -1
3.096 * [taylor]: Taking taylor expansion of im in re
3.096 * [backup-simplify]: Simplify im into im
3.096 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.096 * [backup-simplify]: Simplify (* -1 -1) into 1
3.097 * [backup-simplify]: Simplify (+ 1 0) into 1
3.097 * [backup-simplify]: Simplify (sqrt 1) into 1
3.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.100 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.100 * [backup-simplify]: Simplify (+ 0 0) into 0
3.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.101 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.101 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.101 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.101 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.101 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.101 * [taylor]: Taking taylor expansion of -1 in re
3.101 * [backup-simplify]: Simplify -1 into -1
3.101 * [taylor]: Taking taylor expansion of re in re
3.101 * [backup-simplify]: Simplify 0 into 0
3.101 * [backup-simplify]: Simplify 1 into 1
3.102 * [backup-simplify]: Simplify (/ -1 1) into -1
3.102 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.102 * [taylor]: Taking taylor expansion of -1 in re
3.102 * [backup-simplify]: Simplify -1 into -1
3.102 * [taylor]: Taking taylor expansion of re in re
3.102 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify 1 into 1
3.102 * [backup-simplify]: Simplify (/ -1 1) into -1
3.102 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.102 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.102 * [taylor]: Taking taylor expansion of -1 in re
3.102 * [backup-simplify]: Simplify -1 into -1
3.102 * [taylor]: Taking taylor expansion of im in re
3.102 * [backup-simplify]: Simplify im into im
3.102 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.102 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.102 * [taylor]: Taking taylor expansion of -1 in re
3.102 * [backup-simplify]: Simplify -1 into -1
3.103 * [taylor]: Taking taylor expansion of im in re
3.103 * [backup-simplify]: Simplify im into im
3.103 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.103 * [backup-simplify]: Simplify (* -1 -1) into 1
3.103 * [backup-simplify]: Simplify (+ 1 0) into 1
3.104 * [backup-simplify]: Simplify (sqrt 1) into 1
3.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.106 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.106 * [backup-simplify]: Simplify (+ 0 0) into 0
3.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.107 * [taylor]: Taking taylor expansion of 1 in im
3.107 * [backup-simplify]: Simplify 1 into 1
3.107 * [taylor]: Taking taylor expansion of 0 in im
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 1 into 1
3.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.110 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.110 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.110 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.112 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.112 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.112 * [taylor]: Taking taylor expansion of 1/2 in im
3.112 * [backup-simplify]: Simplify 1/2 into 1/2
3.112 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.112 * [taylor]: Taking taylor expansion of im in im
3.112 * [backup-simplify]: Simplify 0 into 0
3.112 * [backup-simplify]: Simplify 1 into 1
3.112 * [backup-simplify]: Simplify (* 1 1) into 1
3.113 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.117 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.118 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.118 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.118 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.118 * [backup-simplify]: Simplify (+ 0 0) into 0
3.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.119 * [taylor]: Taking taylor expansion of 0 in im
3.119 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.121 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
3.122 * [backup-simplify]: Simplify (sqrt (+ (hypot re im) re)) into (sqrt (+ (hypot re im) re))
3.122 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in (re im) around 0
3.122 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im
3.122 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
3.122 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.122 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.122 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.122 * [taylor]: Taking taylor expansion of (* re re) in im
3.122 * [taylor]: Taking taylor expansion of re in im
3.122 * [backup-simplify]: Simplify re into re
3.122 * [taylor]: Taking taylor expansion of re in im
3.122 * [backup-simplify]: Simplify re into re
3.122 * [taylor]: Taking taylor expansion of (* im im) in im
3.122 * [taylor]: Taking taylor expansion of im in im
3.122 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify 1 into 1
3.122 * [taylor]: Taking taylor expansion of im in im
3.122 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify 1 into 1
3.122 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.123 * [backup-simplify]: Simplify (* 0 0) into 0
3.123 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.123 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.123 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.124 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.124 * [backup-simplify]: Simplify (+ 0 0) into 0
3.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.124 * [taylor]: Taking taylor expansion of re in im
3.124 * [backup-simplify]: Simplify re into re
3.124 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.125 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
3.125 * [backup-simplify]: Simplify (+ 0 0) into 0
3.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
3.125 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
3.125 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
3.125 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.125 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.125 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.125 * [taylor]: Taking taylor expansion of (* re re) in re
3.125 * [taylor]: Taking taylor expansion of re in re
3.125 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify 1 into 1
3.125 * [taylor]: Taking taylor expansion of re in re
3.125 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify 1 into 1
3.125 * [taylor]: Taking taylor expansion of (* im im) in re
3.125 * [taylor]: Taking taylor expansion of im in re
3.125 * [backup-simplify]: Simplify im into im
3.126 * [taylor]: Taking taylor expansion of im in re
3.126 * [backup-simplify]: Simplify im into im
3.126 * [backup-simplify]: Simplify (* 0 0) into 0
3.126 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.126 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.126 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.127 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.127 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.127 * [backup-simplify]: Simplify (+ 0 0) into 0
3.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.128 * [taylor]: Taking taylor expansion of re in re
3.128 * [backup-simplify]: Simplify 0 into 0
3.128 * [backup-simplify]: Simplify 1 into 1
3.128 * [backup-simplify]: Simplify (+ im 0) into im
3.128 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.128 * [backup-simplify]: Simplify (+ 0 1) into 1
3.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.128 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
3.128 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
3.128 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.129 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.129 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.129 * [taylor]: Taking taylor expansion of (* re re) in re
3.129 * [taylor]: Taking taylor expansion of re in re
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 1 into 1
3.129 * [taylor]: Taking taylor expansion of re in re
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 1 into 1
3.129 * [taylor]: Taking taylor expansion of (* im im) in re
3.129 * [taylor]: Taking taylor expansion of im in re
3.129 * [backup-simplify]: Simplify im into im
3.129 * [taylor]: Taking taylor expansion of im in re
3.129 * [backup-simplify]: Simplify im into im
3.129 * [backup-simplify]: Simplify (* 0 0) into 0
3.129 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.129 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.130 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.130 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.130 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.131 * [backup-simplify]: Simplify (+ 0 0) into 0
3.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.131 * [taylor]: Taking taylor expansion of re in re
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify 1 into 1
3.131 * [backup-simplify]: Simplify (+ im 0) into im
3.131 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.132 * [backup-simplify]: Simplify (+ 0 1) into 1
3.132 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.132 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.132 * [taylor]: Taking taylor expansion of im in im
3.132 * [backup-simplify]: Simplify 0 into 0
3.132 * [backup-simplify]: Simplify 1 into 1
3.132 * [backup-simplify]: Simplify (sqrt 0) into 0
3.134 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.134 * [backup-simplify]: Simplify 0 into 0
3.134 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im
3.134 * [taylor]: Taking taylor expansion of 1/2 in im
3.134 * [backup-simplify]: Simplify 1/2 into 1/2
3.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
3.134 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.134 * [taylor]: Taking taylor expansion of im in im
3.134 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify 1 into 1
3.135 * [backup-simplify]: Simplify (/ 1 1) into 1
3.135 * [backup-simplify]: Simplify (sqrt 0) into 0
3.136 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.138 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
3.138 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.138 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.139 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.140 * [backup-simplify]: Simplify (+ 1 0) into 1
3.140 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.140 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.141 * [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))))
3.141 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im
3.141 * [taylor]: Taking taylor expansion of 1/8 in im
3.141 * [backup-simplify]: Simplify 1/8 into 1/8
3.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
3.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
3.141 * [taylor]: Taking taylor expansion of (pow im 3) in im
3.141 * [taylor]: Taking taylor expansion of im in im
3.141 * [backup-simplify]: Simplify 0 into 0
3.141 * [backup-simplify]: Simplify 1 into 1
3.142 * [backup-simplify]: Simplify (* 1 1) into 1
3.142 * [backup-simplify]: Simplify (* 1 1) into 1
3.142 * [backup-simplify]: Simplify (/ 1 1) into 1
3.143 * [backup-simplify]: Simplify (sqrt 0) into 0
3.144 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.149 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.151 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
3.151 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.152 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
3.152 * [backup-simplify]: Simplify (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) into (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))
3.152 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0
3.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im
3.152 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
3.153 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.153 * [taylor]: Taking taylor expansion of re in im
3.153 * [backup-simplify]: Simplify re into re
3.153 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.153 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.153 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.153 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.153 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.153 * [taylor]: Taking taylor expansion of re in im
3.153 * [backup-simplify]: Simplify re into re
3.153 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.153 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.153 * [taylor]: Taking taylor expansion of re in im
3.153 * [backup-simplify]: Simplify re into re
3.153 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.153 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.153 * [taylor]: Taking taylor expansion of im in im
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 1 into 1
3.153 * [backup-simplify]: Simplify (/ 1 1) into 1
3.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.153 * [taylor]: Taking taylor expansion of im in im
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 1 into 1
3.154 * [backup-simplify]: Simplify (/ 1 1) into 1
3.154 * [backup-simplify]: Simplify (* 1 1) into 1
3.154 * [backup-simplify]: Simplify (+ 0 1) into 1
3.154 * [backup-simplify]: Simplify (sqrt 1) into 1
3.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.156 * [backup-simplify]: Simplify (+ 0 0) into 0
3.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.157 * [backup-simplify]: Simplify (+ 0 1) into 1
3.157 * [backup-simplify]: Simplify (sqrt 0) into 0
3.158 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
3.158 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
3.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.158 * [taylor]: Taking taylor expansion of re in re
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 1 into 1
3.158 * [backup-simplify]: Simplify (/ 1 1) into 1
3.158 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.158 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.158 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.158 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.158 * [taylor]: Taking taylor expansion of re in re
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 1 into 1
3.158 * [backup-simplify]: Simplify (/ 1 1) into 1
3.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.158 * [taylor]: Taking taylor expansion of re in re
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 1 into 1
3.159 * [backup-simplify]: Simplify (/ 1 1) into 1
3.159 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.159 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.159 * [taylor]: Taking taylor expansion of im in re
3.159 * [backup-simplify]: Simplify im into im
3.159 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.159 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.159 * [taylor]: Taking taylor expansion of im in re
3.159 * [backup-simplify]: Simplify im into im
3.159 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.159 * [backup-simplify]: Simplify (* 1 1) into 1
3.159 * [backup-simplify]: Simplify (+ 1 0) into 1
3.160 * [backup-simplify]: Simplify (sqrt 1) into 1
3.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.161 * [backup-simplify]: Simplify (+ 0 0) into 0
3.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.162 * [backup-simplify]: Simplify (+ 1 1) into 2
3.162 * [backup-simplify]: Simplify (sqrt 0) into 0
3.163 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
3.163 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
3.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.163 * [taylor]: Taking taylor expansion of re in re
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify 1 into 1
3.163 * [backup-simplify]: Simplify (/ 1 1) into 1
3.163 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.163 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.163 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.163 * [taylor]: Taking taylor expansion of re in re
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify 1 into 1
3.163 * [backup-simplify]: Simplify (/ 1 1) into 1
3.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.164 * [taylor]: Taking taylor expansion of re in re
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 1 into 1
3.164 * [backup-simplify]: Simplify (/ 1 1) into 1
3.164 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.164 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.164 * [taylor]: Taking taylor expansion of im in re
3.164 * [backup-simplify]: Simplify im into im
3.164 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.164 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.164 * [taylor]: Taking taylor expansion of im in re
3.164 * [backup-simplify]: Simplify im into im
3.164 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.164 * [backup-simplify]: Simplify (* 1 1) into 1
3.164 * [backup-simplify]: Simplify (+ 1 0) into 1
3.165 * [backup-simplify]: Simplify (sqrt 1) into 1
3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.166 * [backup-simplify]: Simplify (+ 0 0) into 0
3.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.167 * [backup-simplify]: Simplify (+ 1 1) into 2
3.167 * [backup-simplify]: Simplify (sqrt 0) into 0
3.168 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.168 * [taylor]: Taking taylor expansion of 0 in im
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [taylor]: Taking taylor expansion of +nan.0 in im
3.168 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.169 * [backup-simplify]: Simplify (+ 0 0) into 0
3.172 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.172 * [taylor]: Taking taylor expansion of +nan.0 in im
3.172 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.172 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.172 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.174 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.174 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.175 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.175 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.176 * [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))
3.176 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
3.177 * [taylor]: Taking taylor expansion of +nan.0 in im
3.177 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.177 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
3.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.177 * [taylor]: Taking taylor expansion of 1/2 in im
3.177 * [backup-simplify]: Simplify 1/2 into 1/2
3.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.177 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.177 * [taylor]: Taking taylor expansion of im in im
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 1 into 1
3.177 * [backup-simplify]: Simplify (* 1 1) into 1
3.177 * [backup-simplify]: Simplify (/ 1 1) into 1
3.177 * [taylor]: Taking taylor expansion of +nan.0 in im
3.177 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.179 * [backup-simplify]: Simplify (+ 0 0) into 0
3.179 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.179 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.179 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.182 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.182 * [backup-simplify]: Simplify (+ 0 0) into 0
3.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.183 * [backup-simplify]: Simplify (+ 0 0) into 0
3.184 * [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)))
3.184 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
3.184 * [taylor]: Taking taylor expansion of +nan.0 in im
3.184 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.184 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
3.184 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
3.184 * [taylor]: Taking taylor expansion of +nan.0 in im
3.184 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.184 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.184 * [taylor]: Taking taylor expansion of im in im
3.184 * [backup-simplify]: Simplify 0 into 0
3.184 * [backup-simplify]: Simplify 1 into 1
3.184 * [backup-simplify]: Simplify (* 1 1) into 1
3.185 * [backup-simplify]: Simplify (/ 1 1) into 1
3.185 * [taylor]: Taking taylor expansion of (- +nan.0) in im
3.185 * [taylor]: Taking taylor expansion of +nan.0 in im
3.185 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.186 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
3.186 * [backup-simplify]: Simplify (+ 0 0) into 0
3.186 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
3.187 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
3.187 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
3.187 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.189 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.189 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
3.191 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
3.191 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.191 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
3.192 * [backup-simplify]: Simplify (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) into (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))
3.192 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0
3.192 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
3.192 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.192 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.192 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.192 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.192 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.192 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.192 * [taylor]: Taking taylor expansion of -1 in im
3.192 * [backup-simplify]: Simplify -1 into -1
3.192 * [taylor]: Taking taylor expansion of re in im
3.192 * [backup-simplify]: Simplify re into re
3.192 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.192 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.192 * [taylor]: Taking taylor expansion of -1 in im
3.192 * [backup-simplify]: Simplify -1 into -1
3.192 * [taylor]: Taking taylor expansion of re in im
3.192 * [backup-simplify]: Simplify re into re
3.192 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.192 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.192 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.192 * [taylor]: Taking taylor expansion of -1 in im
3.192 * [backup-simplify]: Simplify -1 into -1
3.192 * [taylor]: Taking taylor expansion of im in im
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 1 into 1
3.192 * [backup-simplify]: Simplify (/ -1 1) into -1
3.192 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.192 * [taylor]: Taking taylor expansion of -1 in im
3.193 * [backup-simplify]: Simplify -1 into -1
3.193 * [taylor]: Taking taylor expansion of im in im
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 1 into 1
3.193 * [backup-simplify]: Simplify (/ -1 1) into -1
3.193 * [backup-simplify]: Simplify (* -1 -1) into 1
3.193 * [backup-simplify]: Simplify (+ 0 1) into 1
3.194 * [backup-simplify]: Simplify (sqrt 1) into 1
3.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.195 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.195 * [backup-simplify]: Simplify (+ 0 0) into 0
3.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.196 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.196 * [taylor]: Taking taylor expansion of re in im
3.196 * [backup-simplify]: Simplify re into re
3.196 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.196 * [backup-simplify]: Simplify (+ 1 0) into 1
3.196 * [backup-simplify]: Simplify (sqrt 0) into 0
3.197 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.197 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.197 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.197 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.197 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.197 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.197 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.197 * [taylor]: Taking taylor expansion of -1 in re
3.197 * [backup-simplify]: Simplify -1 into -1
3.197 * [taylor]: Taking taylor expansion of re in re
3.197 * [backup-simplify]: Simplify 0 into 0
3.197 * [backup-simplify]: Simplify 1 into 1
3.198 * [backup-simplify]: Simplify (/ -1 1) into -1
3.198 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.198 * [taylor]: Taking taylor expansion of -1 in re
3.198 * [backup-simplify]: Simplify -1 into -1
3.198 * [taylor]: Taking taylor expansion of re in re
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify 1 into 1
3.198 * [backup-simplify]: Simplify (/ -1 1) into -1
3.198 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.198 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.198 * [taylor]: Taking taylor expansion of -1 in re
3.198 * [backup-simplify]: Simplify -1 into -1
3.198 * [taylor]: Taking taylor expansion of im in re
3.198 * [backup-simplify]: Simplify im into im
3.198 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.198 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.198 * [taylor]: Taking taylor expansion of -1 in re
3.198 * [backup-simplify]: Simplify -1 into -1
3.198 * [taylor]: Taking taylor expansion of im in re
3.198 * [backup-simplify]: Simplify im into im
3.198 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.198 * [backup-simplify]: Simplify (* -1 -1) into 1
3.199 * [backup-simplify]: Simplify (+ 1 0) into 1
3.199 * [backup-simplify]: Simplify (sqrt 1) into 1
3.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.200 * [backup-simplify]: Simplify (+ 0 0) into 0
3.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.201 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.201 * [taylor]: Taking taylor expansion of re in re
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 1 into 1
3.201 * [backup-simplify]: Simplify (/ 1 1) into 1
3.201 * [backup-simplify]: Simplify (- 1) into -1
3.202 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.202 * [backup-simplify]: Simplify (- 0) into 0
3.202 * [backup-simplify]: Simplify (+ 0 0) into 0
3.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.204 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.204 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.204 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.205 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (- 0) into 0
3.206 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.206 * [backup-simplify]: Simplify (sqrt 0) into 0
3.207 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.207 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.207 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.207 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.207 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.207 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.207 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.207 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.207 * [taylor]: Taking taylor expansion of -1 in re
3.207 * [backup-simplify]: Simplify -1 into -1
3.207 * [taylor]: Taking taylor expansion of re in re
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.207 * [backup-simplify]: Simplify (/ -1 1) into -1
3.207 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.207 * [taylor]: Taking taylor expansion of -1 in re
3.207 * [backup-simplify]: Simplify -1 into -1
3.207 * [taylor]: Taking taylor expansion of re in re
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify (/ -1 1) into -1
3.208 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.208 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.208 * [taylor]: Taking taylor expansion of -1 in re
3.208 * [backup-simplify]: Simplify -1 into -1
3.208 * [taylor]: Taking taylor expansion of im in re
3.208 * [backup-simplify]: Simplify im into im
3.208 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.208 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.208 * [taylor]: Taking taylor expansion of -1 in re
3.208 * [backup-simplify]: Simplify -1 into -1
3.208 * [taylor]: Taking taylor expansion of im in re
3.208 * [backup-simplify]: Simplify im into im
3.208 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.208 * [backup-simplify]: Simplify (* -1 -1) into 1
3.208 * [backup-simplify]: Simplify (+ 1 0) into 1
3.208 * [backup-simplify]: Simplify (sqrt 1) into 1
3.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.210 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.210 * [backup-simplify]: Simplify (+ 0 0) into 0
3.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.210 * [taylor]: Taking taylor expansion of re in re
3.210 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify 1 into 1
3.211 * [backup-simplify]: Simplify (/ 1 1) into 1
3.211 * [backup-simplify]: Simplify (- 1) into -1
3.211 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.212 * [backup-simplify]: Simplify (- 0) into 0
3.213 * [backup-simplify]: Simplify (+ 0 0) into 0
3.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.216 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.216 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.216 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.217 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.219 * [backup-simplify]: Simplify (- 0) into 0
3.219 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.219 * [backup-simplify]: Simplify (sqrt 0) into 0
3.220 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.220 * [taylor]: Taking taylor expansion of 0 in im
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im
3.220 * [taylor]: Taking taylor expansion of +nan.0 in im
3.220 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.220 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.220 * [taylor]: Taking taylor expansion of im in im
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify 1 into 1
3.221 * [backup-simplify]: Simplify (* 1 1) into 1
3.221 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
3.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify 0 into 0
3.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.226 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.226 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.226 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.226 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.227 * [backup-simplify]: Simplify (+ 0 0) into 0
3.227 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.229 * [backup-simplify]: Simplify (- 0) into 0
3.229 * [backup-simplify]: Simplify (+ 0 0) into 0
3.230 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.230 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im
3.230 * [taylor]: Taking taylor expansion of +nan.0 in im
3.230 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.230 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.230 * [taylor]: Taking taylor expansion of im in im
3.230 * [backup-simplify]: Simplify 0 into 0
3.230 * [backup-simplify]: Simplify 1 into 1
3.231 * [backup-simplify]: Simplify (* 1 1) into 1
3.231 * [backup-simplify]: Simplify (* 1 1) into 1
3.231 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
3.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
3.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.240 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 0 into 0
3.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.245 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
3.246 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.246 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.246 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
3.247 * [backup-simplify]: Simplify (+ 0 0) into 0
3.248 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.249 * [backup-simplify]: Simplify (- 0) into 0
3.249 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.250 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
3.250 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) in im
3.250 * [taylor]: Taking taylor expansion of +nan.0 in im
3.250 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.250 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))) in im
3.250 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
3.250 * [taylor]: Taking taylor expansion of +nan.0 in im
3.250 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im
3.251 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.251 * [taylor]: Taking taylor expansion of im in im
3.251 * [backup-simplify]: Simplify 0 into 0
3.251 * [backup-simplify]: Simplify 1 into 1
3.251 * [backup-simplify]: Simplify (* 1 1) into 1
3.251 * [backup-simplify]: Simplify (* 1 1) into 1
3.252 * [backup-simplify]: Simplify (* 1 1) into 1
3.252 * [backup-simplify]: Simplify (/ 1 1) into 1
3.252 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
3.252 * [taylor]: Taking taylor expansion of 1/8 in im
3.252 * [backup-simplify]: Simplify 1/8 into 1/8
3.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
3.252 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.252 * [taylor]: Taking taylor expansion of im in im
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 1 into 1
3.253 * [backup-simplify]: Simplify (* 1 1) into 1
3.253 * [backup-simplify]: Simplify (* 1 1) into 1
3.253 * [backup-simplify]: Simplify (/ 1 1) into 1
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.273 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.284 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.284 * [backup-simplify]: Simplify (+ 0 0) into 0
3.285 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.285 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
3.286 * [backup-simplify]: Simplify (+ 0 0) into 0
3.286 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.287 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
3.287 * [backup-simplify]: Simplify (+ 0 0) into 0
3.287 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
3.288 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
3.288 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8
3.288 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
3.289 * [backup-simplify]: Simplify (+ 0 0) into 0
3.289 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
3.289 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
3.290 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
3.290 * [backup-simplify]: Simplify 0 into 0
3.290 * [backup-simplify]: Simplify 0 into 0
3.290 * * * [progress]: simplifying candidates
3.291 * [simplify]: Simplifying:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (* (exp (hypot re im)) (exp re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (log1p (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (+ (hypot re im) re) 2.0)
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (+ (hypot re im) re) 2.0)
  (+ (log (sqrt (+ (hypot re im) re))) (log (sqrt 2.0)))
  (log (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (exp (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))
  (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (* (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (+ (hypot re im) re) 2.0)
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (hypot re im) re)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (hypot re im) re)) (sqrt 1))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (hypot re im) re)) 1)
  (* (cbrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt 2.0))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (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 (+ (hypot re im) re)))
  (log1p (sqrt (+ (hypot re im) re)))
  (log (sqrt (+ (hypot re im) re)))
  (exp (sqrt (+ (hypot re im) re)))
  (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))
  (cbrt (sqrt (+ (hypot re im) re)))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))
  (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))))
  (sqrt (cbrt (+ (hypot re im) re)))
  (sqrt (sqrt (+ (hypot re im) re)))
  (sqrt (sqrt (+ (hypot re im) re)))
  (sqrt 1)
  (sqrt (+ (hypot re im) re))
  (sqrt 1)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (pow (hypot re im) 3) (pow re 3)))
  (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))
  (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))
  (sqrt (- (hypot re im) re))
  (/ 1 2)
  (sqrt (sqrt (+ (hypot re im) re)))
  (sqrt (sqrt (+ (hypot re im) re)))
  (+ 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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
  0
3.292 * * [simplify]: Extracting # 0 : cost  0
3.293 * * [simplify]: Extracting # 1 : cost  0
3.293 * * [simplify]: Extracting # 2 : cost  0
3.293 * * [simplify]: Extracting # 3 : cost  0
3.293 * * [simplify]: Extracting # 4 : cost  0
3.293 * * [simplify]: Extracting # 5 : cost  0
3.293 * * [simplify]: Extracting # 6 : cost  0
3.293 * * [simplify]: Extracting # 7 : cost  0
3.294 * * [simplify]: Extracting # 8 : cost  0
3.294 * * [simplify]: Extracting # 9 : cost  0
3.294 * * [simplify]: Extracting # 10 : cost  0
3.294 * * [simplify]: Extracting # 11 : cost  0
3.294 * * [simplify]: iteration  0 :  135  enodes  (cost  898 )
3.317 * * [simplify]: Extracting # 0 : cost  0
3.318 * * [simplify]: Extracting # 1 : cost  0
3.319 * * [simplify]: Extracting # 2 : cost  0
3.319 * * [simplify]: Extracting # 3 : cost  0
3.320 * * [simplify]: Extracting # 4 : cost  0
3.321 * * [simplify]: iteration  1 :  307  enodes  (cost  831 )
3.479 * * [simplify]: Extracting # 0 : cost  0
3.481 * * [simplify]: Extracting # 1 : cost  0
3.482 * * [simplify]: Extracting # 2 : cost  0
3.483 * * [simplify]: Extracting # 3 : cost  0
3.485 * * [simplify]: Extracting # 4 : cost  0
3.486 * * [simplify]: iteration  2 :  1287  enodes  (cost  784 )
4.031 * * [simplify]: Extracting # 0 : cost  0
4.037 * * [simplify]: Extracting # 1 : cost  0
4.044 * * [simplify]: Extracting # 2 : cost  0
4.056 * * [simplify]: Extracting # 3 : cost  0
4.063 * * [simplify]: Extracting # 4 : cost  0
4.074 * * [simplify]: iteration done:  5001  enodes  (cost  771 )
4.075 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (- (* re re) (* (hypot re im) (- re (hypot re im))))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ re (hypot re im))
  (expm1 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (log1p (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (+ re (hypot re im)) 2.0)
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (+ re (hypot re im)) 2.0)
  (log (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (log (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (exp (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (pow (sqrt (+ (hypot re im) re)) 3) (* (sqrt 2.0) 2.0))
  (* (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))
  (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (pow (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 3)
  (* (+ re (hypot re im)) 2.0)
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (hypot re im) re)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (fabs (cbrt 2.0)) (sqrt (+ (hypot re im) re)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (sqrt (+ (hypot re im) re))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (sqrt (+ (hypot re im) re))
  (* (cbrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt 2.0))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (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 (+ (hypot re im) re)))
  (log1p (sqrt (+ (hypot re im) re)))
  (log (sqrt (+ (hypot re im) re)))
  (exp (sqrt (+ (hypot re im) re)))
  (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))
  (cbrt (sqrt (+ (hypot re im) re)))
  (pow (sqrt (+ (hypot re im) re)) 3)
  (fabs (cbrt (+ (hypot re im) re)))
  (sqrt (cbrt (+ (hypot re im) re)))
  (sqrt (sqrt (+ (hypot re im) re)))
  (sqrt (sqrt (+ (hypot re im) re)))
  1
  (sqrt (+ (hypot re im) re))
  1
  (sqrt (+ (hypot re im) re))
  (hypot (pow (hypot re im) 3/2) (pow re 3/2))
  (sqrt (- (* re re) (* (hypot re im) (- re (hypot re im)))))
  (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))
  (sqrt (- (hypot re im) re))
  1/2
  (sqrt (sqrt (+ (hypot re im) re)))
  (sqrt (sqrt (+ (hypot re im) re)))
  (+ re im)
  (* 2 re)
  0
  (* (* +nan.0 (sqrt 2.0)) (+ (- im re) (- (* re re))))
  (fma +nan.0 (- (sqrt 2.0)) (* (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re))))
  0
  im
  re
  (- re)
  (* +nan.0 (+ (- (* re re) im) (- re)))
  (- (- (/ +nan.0 re) (- (/ +nan.0 (* re re)) +nan.0)))
  0
4.076 * * * [progress]: adding candidates to table
4.593 * * [progress]: iteration 3 / 4
4.593 * * * [progress]: picking best candidate
4.654 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))>
4.654 * * * [progress]: localizing error
4.673 * * * [progress]: generating rewritten candidates
4.673 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
4.682 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
4.694 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
4.706 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1)
4.709 * * * [progress]: generating series expansions
4.709 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
4.709 * [backup-simplify]: Simplify (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (+ (hypot re im) re)
4.709 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
4.709 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
4.709 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.709 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.709 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.709 * [taylor]: Taking taylor expansion of (* re re) in im
4.709 * [taylor]: Taking taylor expansion of re in im
4.709 * [backup-simplify]: Simplify re into re
4.709 * [taylor]: Taking taylor expansion of re in im
4.709 * [backup-simplify]: Simplify re into re
4.709 * [taylor]: Taking taylor expansion of (* im im) in im
4.709 * [taylor]: Taking taylor expansion of im in im
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 1 into 1
4.709 * [taylor]: Taking taylor expansion of im in im
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 1 into 1
4.709 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.710 * [backup-simplify]: Simplify (* 0 0) into 0
4.710 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.710 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.710 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.710 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.710 * [backup-simplify]: Simplify (+ 0 0) into 0
4.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.711 * [taylor]: Taking taylor expansion of re in im
4.711 * [backup-simplify]: Simplify re into re
4.711 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
4.711 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.711 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.711 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.711 * [taylor]: Taking taylor expansion of (* re re) in re
4.711 * [taylor]: Taking taylor expansion of re in re
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 1 into 1
4.711 * [taylor]: Taking taylor expansion of re in re
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 1 into 1
4.711 * [taylor]: Taking taylor expansion of (* im im) in re
4.711 * [taylor]: Taking taylor expansion of im in re
4.711 * [backup-simplify]: Simplify im into im
4.711 * [taylor]: Taking taylor expansion of im in re
4.711 * [backup-simplify]: Simplify im into im
4.711 * [backup-simplify]: Simplify (* 0 0) into 0
4.711 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.712 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.712 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.712 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.712 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.712 * [backup-simplify]: Simplify (+ 0 0) into 0
4.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.713 * [taylor]: Taking taylor expansion of re in re
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 1 into 1
4.713 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
4.713 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.713 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.713 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.713 * [taylor]: Taking taylor expansion of (* re re) in re
4.713 * [taylor]: Taking taylor expansion of re in re
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 1 into 1
4.713 * [taylor]: Taking taylor expansion of re in re
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 1 into 1
4.713 * [taylor]: Taking taylor expansion of (* im im) in re
4.713 * [taylor]: Taking taylor expansion of im in re
4.713 * [backup-simplify]: Simplify im into im
4.713 * [taylor]: Taking taylor expansion of im in re
4.713 * [backup-simplify]: Simplify im into im
4.713 * [backup-simplify]: Simplify (* 0 0) into 0
4.713 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.713 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.713 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.714 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.714 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.714 * [backup-simplify]: Simplify (+ 0 0) into 0
4.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.714 * [taylor]: Taking taylor expansion of re in re
4.714 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify 1 into 1
4.714 * [backup-simplify]: Simplify (+ im 0) into im
4.714 * [taylor]: Taking taylor expansion of im in im
4.714 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify 1 into 1
4.714 * [backup-simplify]: Simplify 0 into 0
4.715 * [backup-simplify]: Simplify (+ 0 1) into 1
4.715 * [taylor]: Taking taylor expansion of 1 in im
4.715 * [backup-simplify]: Simplify 1 into 1
4.715 * [backup-simplify]: Simplify 1 into 1
4.715 * [backup-simplify]: Simplify 1 into 1
4.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.715 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.716 * [backup-simplify]: Simplify (+ 1 0) into 1
4.716 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.716 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.716 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.716 * [taylor]: Taking taylor expansion of 1/2 in im
4.716 * [backup-simplify]: Simplify 1/2 into 1/2
4.716 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.716 * [taylor]: Taking taylor expansion of im in im
4.716 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify 1 into 1
4.717 * [backup-simplify]: Simplify (/ 1 1) into 1
4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.719 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.719 * [backup-simplify]: Simplify (+ 0 0) into 0
4.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.719 * [backup-simplify]: Simplify (+ 0 0) into 0
4.719 * [taylor]: Taking taylor expansion of 0 in im
4.719 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify 0 into 0
4.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.720 * [backup-simplify]: Simplify 0 into 0
4.720 * [backup-simplify]: Simplify 0 into 0
4.720 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
4.721 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
4.721 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
4.721 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
4.721 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.721 * [taylor]: Taking taylor expansion of re in im
4.721 * [backup-simplify]: Simplify re into re
4.721 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.721 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.721 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.721 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.721 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.721 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.721 * [taylor]: Taking taylor expansion of re in im
4.721 * [backup-simplify]: Simplify re into re
4.721 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.721 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.721 * [taylor]: Taking taylor expansion of re in im
4.721 * [backup-simplify]: Simplify re into re
4.721 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.721 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.721 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.721 * [taylor]: Taking taylor expansion of im in im
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 1 into 1
4.721 * [backup-simplify]: Simplify (/ 1 1) into 1
4.721 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.721 * [taylor]: Taking taylor expansion of im in im
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 1 into 1
4.722 * [backup-simplify]: Simplify (/ 1 1) into 1
4.722 * [backup-simplify]: Simplify (* 1 1) into 1
4.722 * [backup-simplify]: Simplify (+ 0 1) into 1
4.722 * [backup-simplify]: Simplify (sqrt 1) into 1
4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.724 * [backup-simplify]: Simplify (+ 0 0) into 0
4.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.725 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
4.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.725 * [taylor]: Taking taylor expansion of re in re
4.725 * [backup-simplify]: Simplify 0 into 0
4.725 * [backup-simplify]: Simplify 1 into 1
4.725 * [backup-simplify]: Simplify (/ 1 1) into 1
4.725 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.725 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.725 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.725 * [taylor]: Taking taylor expansion of re in re
4.725 * [backup-simplify]: Simplify 0 into 0
4.725 * [backup-simplify]: Simplify 1 into 1
4.725 * [backup-simplify]: Simplify (/ 1 1) into 1
4.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.725 * [taylor]: Taking taylor expansion of re in re
4.725 * [backup-simplify]: Simplify 0 into 0
4.725 * [backup-simplify]: Simplify 1 into 1
4.726 * [backup-simplify]: Simplify (/ 1 1) into 1
4.726 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.726 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.726 * [taylor]: Taking taylor expansion of im in re
4.726 * [backup-simplify]: Simplify im into im
4.726 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.726 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.726 * [taylor]: Taking taylor expansion of im in re
4.726 * [backup-simplify]: Simplify im into im
4.726 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.726 * [backup-simplify]: Simplify (* 1 1) into 1
4.726 * [backup-simplify]: Simplify (+ 1 0) into 1
4.726 * [backup-simplify]: Simplify (sqrt 1) into 1
4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.728 * [backup-simplify]: Simplify (+ 0 0) into 0
4.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.728 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
4.728 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.728 * [taylor]: Taking taylor expansion of re in re
4.728 * [backup-simplify]: Simplify 0 into 0
4.728 * [backup-simplify]: Simplify 1 into 1
4.729 * [backup-simplify]: Simplify (/ 1 1) into 1
4.729 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.729 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.729 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.729 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.729 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.729 * [taylor]: Taking taylor expansion of re in re
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [backup-simplify]: Simplify (/ 1 1) into 1
4.729 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.729 * [taylor]: Taking taylor expansion of re in re
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [backup-simplify]: Simplify (/ 1 1) into 1
4.729 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.730 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.730 * [taylor]: Taking taylor expansion of im in re
4.730 * [backup-simplify]: Simplify im into im
4.730 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.730 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.730 * [taylor]: Taking taylor expansion of im in re
4.730 * [backup-simplify]: Simplify im into im
4.730 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.730 * [backup-simplify]: Simplify (* 1 1) into 1
4.730 * [backup-simplify]: Simplify (+ 1 0) into 1
4.730 * [backup-simplify]: Simplify (sqrt 1) into 1
4.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.732 * [backup-simplify]: Simplify (+ 0 0) into 0
4.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.733 * [backup-simplify]: Simplify (+ 1 1) into 2
4.733 * [taylor]: Taking taylor expansion of 2 in im
4.733 * [backup-simplify]: Simplify 2 into 2
4.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.733 * [backup-simplify]: Simplify (+ 0 0) into 0
4.733 * [taylor]: Taking taylor expansion of 0 in im
4.733 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify 2 into 2
4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.735 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.736 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.736 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.736 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.737 * [taylor]: Taking taylor expansion of 1/2 in im
4.737 * [backup-simplify]: Simplify 1/2 into 1/2
4.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.737 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.737 * [taylor]: Taking taylor expansion of im in im
4.737 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify 1 into 1
4.737 * [backup-simplify]: Simplify (* 1 1) into 1
4.737 * [backup-simplify]: Simplify (/ 1 1) into 1
4.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.741 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.741 * [backup-simplify]: Simplify (+ 0 0) into 0
4.741 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.742 * [backup-simplify]: Simplify (+ 0 0) into 0
4.742 * [taylor]: Taking taylor expansion of 0 in im
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.743 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
4.744 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
4.744 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
4.744 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
4.744 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.744 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.744 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.744 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.744 * [taylor]: Taking taylor expansion of -1 in im
4.744 * [backup-simplify]: Simplify -1 into -1
4.744 * [taylor]: Taking taylor expansion of re in im
4.744 * [backup-simplify]: Simplify re into re
4.744 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.744 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.744 * [taylor]: Taking taylor expansion of -1 in im
4.744 * [backup-simplify]: Simplify -1 into -1
4.744 * [taylor]: Taking taylor expansion of re in im
4.744 * [backup-simplify]: Simplify re into re
4.744 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.744 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.744 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.744 * [taylor]: Taking taylor expansion of -1 in im
4.744 * [backup-simplify]: Simplify -1 into -1
4.744 * [taylor]: Taking taylor expansion of im in im
4.744 * [backup-simplify]: Simplify 0 into 0
4.744 * [backup-simplify]: Simplify 1 into 1
4.747 * [backup-simplify]: Simplify (/ -1 1) into -1
4.747 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.747 * [taylor]: Taking taylor expansion of -1 in im
4.747 * [backup-simplify]: Simplify -1 into -1
4.747 * [taylor]: Taking taylor expansion of im in im
4.747 * [backup-simplify]: Simplify 0 into 0
4.747 * [backup-simplify]: Simplify 1 into 1
4.747 * [backup-simplify]: Simplify (/ -1 1) into -1
4.748 * [backup-simplify]: Simplify (* -1 -1) into 1
4.748 * [backup-simplify]: Simplify (+ 0 1) into 1
4.748 * [backup-simplify]: Simplify (sqrt 1) into 1
4.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.749 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.750 * [backup-simplify]: Simplify (+ 0 0) into 0
4.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.750 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.750 * [taylor]: Taking taylor expansion of re in im
4.750 * [backup-simplify]: Simplify re into re
4.750 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.750 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.750 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.750 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.750 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.750 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.750 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.750 * [taylor]: Taking taylor expansion of -1 in re
4.750 * [backup-simplify]: Simplify -1 into -1
4.750 * [taylor]: Taking taylor expansion of re in re
4.751 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify 1 into 1
4.751 * [backup-simplify]: Simplify (/ -1 1) into -1
4.751 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.751 * [taylor]: Taking taylor expansion of -1 in re
4.751 * [backup-simplify]: Simplify -1 into -1
4.751 * [taylor]: Taking taylor expansion of re in re
4.751 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify 1 into 1
4.751 * [backup-simplify]: Simplify (/ -1 1) into -1
4.751 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.751 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.751 * [taylor]: Taking taylor expansion of -1 in re
4.751 * [backup-simplify]: Simplify -1 into -1
4.751 * [taylor]: Taking taylor expansion of im in re
4.751 * [backup-simplify]: Simplify im into im
4.751 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.751 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.752 * [taylor]: Taking taylor expansion of -1 in re
4.752 * [backup-simplify]: Simplify -1 into -1
4.752 * [taylor]: Taking taylor expansion of im in re
4.752 * [backup-simplify]: Simplify im into im
4.752 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.752 * [backup-simplify]: Simplify (* -1 -1) into 1
4.752 * [backup-simplify]: Simplify (+ 1 0) into 1
4.753 * [backup-simplify]: Simplify (sqrt 1) into 1
4.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.755 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.756 * [backup-simplify]: Simplify (+ 0 0) into 0
4.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.756 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.756 * [taylor]: Taking taylor expansion of re in re
4.756 * [backup-simplify]: Simplify 0 into 0
4.756 * [backup-simplify]: Simplify 1 into 1
4.757 * [backup-simplify]: Simplify (/ 1 1) into 1
4.757 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.757 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.757 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.757 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.757 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.757 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.757 * [taylor]: Taking taylor expansion of -1 in re
4.757 * [backup-simplify]: Simplify -1 into -1
4.757 * [taylor]: Taking taylor expansion of re in re
4.757 * [backup-simplify]: Simplify 0 into 0
4.757 * [backup-simplify]: Simplify 1 into 1
4.758 * [backup-simplify]: Simplify (/ -1 1) into -1
4.758 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.758 * [taylor]: Taking taylor expansion of -1 in re
4.758 * [backup-simplify]: Simplify -1 into -1
4.758 * [taylor]: Taking taylor expansion of re in re
4.758 * [backup-simplify]: Simplify 0 into 0
4.758 * [backup-simplify]: Simplify 1 into 1
4.758 * [backup-simplify]: Simplify (/ -1 1) into -1
4.758 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.758 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.758 * [taylor]: Taking taylor expansion of -1 in re
4.758 * [backup-simplify]: Simplify -1 into -1
4.758 * [taylor]: Taking taylor expansion of im in re
4.758 * [backup-simplify]: Simplify im into im
4.759 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.759 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.759 * [taylor]: Taking taylor expansion of -1 in re
4.759 * [backup-simplify]: Simplify -1 into -1
4.759 * [taylor]: Taking taylor expansion of im in re
4.759 * [backup-simplify]: Simplify im into im
4.759 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.759 * [backup-simplify]: Simplify (* -1 -1) into 1
4.760 * [backup-simplify]: Simplify (+ 1 0) into 1
4.760 * [backup-simplify]: Simplify (sqrt 1) into 1
4.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.763 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.763 * [backup-simplify]: Simplify (+ 0 0) into 0
4.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.764 * [taylor]: Taking taylor expansion of re in re
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify 1 into 1
4.764 * [backup-simplify]: Simplify (/ 1 1) into 1
4.765 * [backup-simplify]: Simplify (- 1) into -1
4.765 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.765 * [taylor]: Taking taylor expansion of 0 in im
4.765 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.767 * [backup-simplify]: Simplify (- 0) into 0
4.767 * [backup-simplify]: Simplify (+ 0 0) into 0
4.767 * [taylor]: Taking taylor expansion of 0 in im
4.767 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.770 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.770 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.770 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.772 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.773 * [backup-simplify]: Simplify (- 0) into 0
4.773 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.773 * [taylor]: Taking taylor expansion of 1/2 in im
4.773 * [backup-simplify]: Simplify 1/2 into 1/2
4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.773 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.773 * [taylor]: Taking taylor expansion of im in im
4.773 * [backup-simplify]: Simplify 0 into 0
4.773 * [backup-simplify]: Simplify 1 into 1
4.774 * [backup-simplify]: Simplify (* 1 1) into 1
4.774 * [backup-simplify]: Simplify (/ 1 1) into 1
4.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.776 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify 0 into 0
4.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.779 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.780 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.780 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.780 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.780 * [backup-simplify]: Simplify (+ 0 0) into 0
4.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.782 * [backup-simplify]: Simplify (- 0) into 0
4.783 * [backup-simplify]: Simplify (+ 0 0) into 0
4.783 * [taylor]: Taking taylor expansion of 0 in im
4.783 * [backup-simplify]: Simplify 0 into 0
4.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
4.786 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
4.786 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
4.786 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.786 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.786 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.786 * [taylor]: Taking taylor expansion of (* re re) in im
4.786 * [taylor]: Taking taylor expansion of re in im
4.786 * [backup-simplify]: Simplify re into re
4.786 * [taylor]: Taking taylor expansion of re in im
4.787 * [backup-simplify]: Simplify re into re
4.787 * [taylor]: Taking taylor expansion of (* im im) in im
4.787 * [taylor]: Taking taylor expansion of im in im
4.787 * [backup-simplify]: Simplify 0 into 0
4.787 * [backup-simplify]: Simplify 1 into 1
4.787 * [taylor]: Taking taylor expansion of im in im
4.787 * [backup-simplify]: Simplify 0 into 0
4.787 * [backup-simplify]: Simplify 1 into 1
4.787 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.787 * [backup-simplify]: Simplify (* 0 0) into 0
4.787 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.788 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.788 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.788 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.789 * [backup-simplify]: Simplify (+ 0 0) into 0
4.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.789 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.789 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.789 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.789 * [taylor]: Taking taylor expansion of (* re re) in re
4.789 * [taylor]: Taking taylor expansion of re in re
4.789 * [backup-simplify]: Simplify 0 into 0
4.789 * [backup-simplify]: Simplify 1 into 1
4.789 * [taylor]: Taking taylor expansion of re in re
4.789 * [backup-simplify]: Simplify 0 into 0
4.789 * [backup-simplify]: Simplify 1 into 1
4.789 * [taylor]: Taking taylor expansion of (* im im) in re
4.789 * [taylor]: Taking taylor expansion of im in re
4.789 * [backup-simplify]: Simplify im into im
4.789 * [taylor]: Taking taylor expansion of im in re
4.789 * [backup-simplify]: Simplify im into im
4.790 * [backup-simplify]: Simplify (* 0 0) into 0
4.790 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.790 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.790 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.791 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.791 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.792 * [backup-simplify]: Simplify (+ 0 0) into 0
4.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.792 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.792 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.792 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.792 * [taylor]: Taking taylor expansion of (* re re) in re
4.792 * [taylor]: Taking taylor expansion of re in re
4.792 * [backup-simplify]: Simplify 0 into 0
4.792 * [backup-simplify]: Simplify 1 into 1
4.792 * [taylor]: Taking taylor expansion of re in re
4.792 * [backup-simplify]: Simplify 0 into 0
4.792 * [backup-simplify]: Simplify 1 into 1
4.792 * [taylor]: Taking taylor expansion of (* im im) in re
4.792 * [taylor]: Taking taylor expansion of im in re
4.792 * [backup-simplify]: Simplify im into im
4.792 * [taylor]: Taking taylor expansion of im in re
4.792 * [backup-simplify]: Simplify im into im
4.793 * [backup-simplify]: Simplify (* 0 0) into 0
4.793 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.793 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.793 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.794 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.794 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.794 * [backup-simplify]: Simplify (+ 0 0) into 0
4.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.795 * [taylor]: Taking taylor expansion of im in im
4.795 * [backup-simplify]: Simplify 0 into 0
4.795 * [backup-simplify]: Simplify 1 into 1
4.795 * [backup-simplify]: Simplify 0 into 0
4.795 * [taylor]: Taking taylor expansion of 0 in im
4.795 * [backup-simplify]: Simplify 0 into 0
4.795 * [backup-simplify]: Simplify 0 into 0
4.795 * [backup-simplify]: Simplify 1 into 1
4.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.796 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.796 * [backup-simplify]: Simplify (+ 1 0) into 1
4.797 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.797 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.797 * [taylor]: Taking taylor expansion of 1/2 in im
4.797 * [backup-simplify]: Simplify 1/2 into 1/2
4.797 * [taylor]: Taking taylor expansion of im in im
4.797 * [backup-simplify]: Simplify 0 into 0
4.797 * [backup-simplify]: Simplify 1 into 1
4.798 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify 0 into 0
4.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.801 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.801 * [backup-simplify]: Simplify (+ 0 0) into 0
4.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.802 * [taylor]: Taking taylor expansion of 0 in im
4.802 * [backup-simplify]: Simplify 0 into 0
4.802 * [backup-simplify]: Simplify 0 into 0
4.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.803 * [backup-simplify]: Simplify 0 into 0
4.803 * [backup-simplify]: Simplify 0 into 0
4.803 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.803 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
4.803 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
4.803 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.803 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.803 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.803 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.804 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.804 * [taylor]: Taking taylor expansion of re in im
4.804 * [backup-simplify]: Simplify re into re
4.804 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.804 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.804 * [taylor]: Taking taylor expansion of re in im
4.804 * [backup-simplify]: Simplify re into re
4.804 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.804 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.804 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.804 * [taylor]: Taking taylor expansion of im in im
4.804 * [backup-simplify]: Simplify 0 into 0
4.804 * [backup-simplify]: Simplify 1 into 1
4.804 * [backup-simplify]: Simplify (/ 1 1) into 1
4.804 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.804 * [taylor]: Taking taylor expansion of im in im
4.804 * [backup-simplify]: Simplify 0 into 0
4.804 * [backup-simplify]: Simplify 1 into 1
4.805 * [backup-simplify]: Simplify (/ 1 1) into 1
4.805 * [backup-simplify]: Simplify (* 1 1) into 1
4.806 * [backup-simplify]: Simplify (+ 0 1) into 1
4.806 * [backup-simplify]: Simplify (sqrt 1) into 1
4.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.808 * [backup-simplify]: Simplify (+ 0 0) into 0
4.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.809 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.809 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.809 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.809 * [taylor]: Taking taylor expansion of re in re
4.810 * [backup-simplify]: Simplify 0 into 0
4.810 * [backup-simplify]: Simplify 1 into 1
4.810 * [backup-simplify]: Simplify (/ 1 1) into 1
4.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.810 * [taylor]: Taking taylor expansion of re in re
4.810 * [backup-simplify]: Simplify 0 into 0
4.810 * [backup-simplify]: Simplify 1 into 1
4.810 * [backup-simplify]: Simplify (/ 1 1) into 1
4.811 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.811 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.811 * [taylor]: Taking taylor expansion of im in re
4.811 * [backup-simplify]: Simplify im into im
4.811 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.811 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.811 * [taylor]: Taking taylor expansion of im in re
4.811 * [backup-simplify]: Simplify im into im
4.811 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.811 * [backup-simplify]: Simplify (* 1 1) into 1
4.812 * [backup-simplify]: Simplify (+ 1 0) into 1
4.812 * [backup-simplify]: Simplify (sqrt 1) into 1
4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.815 * [backup-simplify]: Simplify (+ 0 0) into 0
4.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.815 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.816 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.816 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.816 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.816 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.816 * [taylor]: Taking taylor expansion of re in re
4.816 * [backup-simplify]: Simplify 0 into 0
4.816 * [backup-simplify]: Simplify 1 into 1
4.816 * [backup-simplify]: Simplify (/ 1 1) into 1
4.816 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.816 * [taylor]: Taking taylor expansion of re in re
4.816 * [backup-simplify]: Simplify 0 into 0
4.816 * [backup-simplify]: Simplify 1 into 1
4.817 * [backup-simplify]: Simplify (/ 1 1) into 1
4.817 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.817 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.817 * [taylor]: Taking taylor expansion of im in re
4.817 * [backup-simplify]: Simplify im into im
4.817 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.817 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.817 * [taylor]: Taking taylor expansion of im in re
4.817 * [backup-simplify]: Simplify im into im
4.817 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.817 * [backup-simplify]: Simplify (* 1 1) into 1
4.818 * [backup-simplify]: Simplify (+ 1 0) into 1
4.818 * [backup-simplify]: Simplify (sqrt 1) into 1
4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.821 * [backup-simplify]: Simplify (+ 0 0) into 0
4.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.821 * [taylor]: Taking taylor expansion of 1 in im
4.821 * [backup-simplify]: Simplify 1 into 1
4.821 * [taylor]: Taking taylor expansion of 0 in im
4.821 * [backup-simplify]: Simplify 0 into 0
4.821 * [backup-simplify]: Simplify 1 into 1
4.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.825 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.825 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.826 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.826 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.826 * [taylor]: Taking taylor expansion of 1/2 in im
4.826 * [backup-simplify]: Simplify 1/2 into 1/2
4.826 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.826 * [taylor]: Taking taylor expansion of im in im
4.826 * [backup-simplify]: Simplify 0 into 0
4.826 * [backup-simplify]: Simplify 1 into 1
4.827 * [backup-simplify]: Simplify (* 1 1) into 1
4.827 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.829 * [backup-simplify]: Simplify 0 into 0
4.829 * [backup-simplify]: Simplify 0 into 0
4.829 * [backup-simplify]: Simplify 0 into 0
4.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.832 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.833 * [backup-simplify]: Simplify (+ 0 0) into 0
4.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.833 * [taylor]: Taking taylor expansion of 0 in im
4.833 * [backup-simplify]: Simplify 0 into 0
4.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * [backup-simplify]: Simplify 0 into 0
4.836 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.836 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
4.836 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
4.836 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.836 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.836 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.836 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.836 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.836 * [taylor]: Taking taylor expansion of -1 in im
4.836 * [backup-simplify]: Simplify -1 into -1
4.836 * [taylor]: Taking taylor expansion of re in im
4.836 * [backup-simplify]: Simplify re into re
4.836 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.836 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.836 * [taylor]: Taking taylor expansion of -1 in im
4.836 * [backup-simplify]: Simplify -1 into -1
4.836 * [taylor]: Taking taylor expansion of re in im
4.836 * [backup-simplify]: Simplify re into re
4.837 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.837 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.837 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.837 * [taylor]: Taking taylor expansion of -1 in im
4.837 * [backup-simplify]: Simplify -1 into -1
4.837 * [taylor]: Taking taylor expansion of im in im
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify 1 into 1
4.837 * [backup-simplify]: Simplify (/ -1 1) into -1
4.837 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.837 * [taylor]: Taking taylor expansion of -1 in im
4.837 * [backup-simplify]: Simplify -1 into -1
4.837 * [taylor]: Taking taylor expansion of im in im
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify 1 into 1
4.838 * [backup-simplify]: Simplify (/ -1 1) into -1
4.838 * [backup-simplify]: Simplify (* -1 -1) into 1
4.839 * [backup-simplify]: Simplify (+ 0 1) into 1
4.839 * [backup-simplify]: Simplify (sqrt 1) into 1
4.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.841 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.842 * [backup-simplify]: Simplify (+ 0 0) into 0
4.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.842 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.842 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.843 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.843 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.843 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.843 * [taylor]: Taking taylor expansion of -1 in re
4.843 * [backup-simplify]: Simplify -1 into -1
4.843 * [taylor]: Taking taylor expansion of re in re
4.843 * [backup-simplify]: Simplify 0 into 0
4.843 * [backup-simplify]: Simplify 1 into 1
4.843 * [backup-simplify]: Simplify (/ -1 1) into -1
4.843 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.843 * [taylor]: Taking taylor expansion of -1 in re
4.843 * [backup-simplify]: Simplify -1 into -1
4.843 * [taylor]: Taking taylor expansion of re in re
4.843 * [backup-simplify]: Simplify 0 into 0
4.843 * [backup-simplify]: Simplify 1 into 1
4.844 * [backup-simplify]: Simplify (/ -1 1) into -1
4.844 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.844 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.844 * [taylor]: Taking taylor expansion of -1 in re
4.844 * [backup-simplify]: Simplify -1 into -1
4.844 * [taylor]: Taking taylor expansion of im in re
4.844 * [backup-simplify]: Simplify im into im
4.844 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.844 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.844 * [taylor]: Taking taylor expansion of -1 in re
4.844 * [backup-simplify]: Simplify -1 into -1
4.844 * [taylor]: Taking taylor expansion of im in re
4.844 * [backup-simplify]: Simplify im into im
4.844 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.844 * [backup-simplify]: Simplify (* -1 -1) into 1
4.845 * [backup-simplify]: Simplify (+ 1 0) into 1
4.845 * [backup-simplify]: Simplify (sqrt 1) into 1
4.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.848 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.848 * [backup-simplify]: Simplify (+ 0 0) into 0
4.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.849 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.849 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.849 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.849 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.849 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.849 * [taylor]: Taking taylor expansion of -1 in re
4.849 * [backup-simplify]: Simplify -1 into -1
4.849 * [taylor]: Taking taylor expansion of re in re
4.849 * [backup-simplify]: Simplify 0 into 0
4.849 * [backup-simplify]: Simplify 1 into 1
4.850 * [backup-simplify]: Simplify (/ -1 1) into -1
4.850 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.850 * [taylor]: Taking taylor expansion of -1 in re
4.850 * [backup-simplify]: Simplify -1 into -1
4.850 * [taylor]: Taking taylor expansion of re in re
4.850 * [backup-simplify]: Simplify 0 into 0
4.850 * [backup-simplify]: Simplify 1 into 1
4.850 * [backup-simplify]: Simplify (/ -1 1) into -1
4.850 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.850 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.850 * [taylor]: Taking taylor expansion of -1 in re
4.850 * [backup-simplify]: Simplify -1 into -1
4.850 * [taylor]: Taking taylor expansion of im in re
4.850 * [backup-simplify]: Simplify im into im
4.850 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.850 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.851 * [taylor]: Taking taylor expansion of -1 in re
4.851 * [backup-simplify]: Simplify -1 into -1
4.851 * [taylor]: Taking taylor expansion of im in re
4.851 * [backup-simplify]: Simplify im into im
4.851 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.851 * [backup-simplify]: Simplify (* -1 -1) into 1
4.851 * [backup-simplify]: Simplify (+ 1 0) into 1
4.852 * [backup-simplify]: Simplify (sqrt 1) into 1
4.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.854 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.854 * [backup-simplify]: Simplify (+ 0 0) into 0
4.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.855 * [taylor]: Taking taylor expansion of 1 in im
4.855 * [backup-simplify]: Simplify 1 into 1
4.855 * [taylor]: Taking taylor expansion of 0 in im
4.855 * [backup-simplify]: Simplify 0 into 0
4.855 * [backup-simplify]: Simplify 1 into 1
4.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.858 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.858 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.858 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.860 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.860 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.860 * [taylor]: Taking taylor expansion of 1/2 in im
4.860 * [backup-simplify]: Simplify 1/2 into 1/2
4.860 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.860 * [taylor]: Taking taylor expansion of im in im
4.860 * [backup-simplify]: Simplify 0 into 0
4.860 * [backup-simplify]: Simplify 1 into 1
4.860 * [backup-simplify]: Simplify (* 1 1) into 1
4.861 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify 0 into 0
4.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.865 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.866 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.866 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.866 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.866 * [backup-simplify]: Simplify (+ 0 0) into 0
4.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.867 * [taylor]: Taking taylor expansion of 0 in im
4.867 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.869 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
4.870 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))
4.870 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0
4.870 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im
4.870 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.870 * [taylor]: Taking taylor expansion of 2.0 in im
4.870 * [backup-simplify]: Simplify 2.0 into 2.0
4.870 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.871 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im
4.871 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
4.871 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.871 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.871 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.871 * [taylor]: Taking taylor expansion of (* re re) in im
4.871 * [taylor]: Taking taylor expansion of re in im
4.871 * [backup-simplify]: Simplify re into re
4.871 * [taylor]: Taking taylor expansion of re in im
4.871 * [backup-simplify]: Simplify re into re
4.871 * [taylor]: Taking taylor expansion of (* im im) in im
4.871 * [taylor]: Taking taylor expansion of im in im
4.871 * [backup-simplify]: Simplify 0 into 0
4.871 * [backup-simplify]: Simplify 1 into 1
4.872 * [taylor]: Taking taylor expansion of im in im
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify 1 into 1
4.872 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.872 * [backup-simplify]: Simplify (* 0 0) into 0
4.872 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.872 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.872 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.873 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.873 * [backup-simplify]: Simplify (+ 0 0) into 0
4.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.874 * [taylor]: Taking taylor expansion of re in im
4.874 * [backup-simplify]: Simplify re into re
4.874 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
4.874 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
4.874 * [backup-simplify]: Simplify (+ 0 0) into 0
4.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
4.874 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re
4.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.874 * [taylor]: Taking taylor expansion of 2.0 in re
4.874 * [backup-simplify]: Simplify 2.0 into 2.0
4.875 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.875 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
4.876 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
4.876 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.876 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.876 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.876 * [taylor]: Taking taylor expansion of (* re re) in re
4.876 * [taylor]: Taking taylor expansion of re in re
4.876 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify 1 into 1
4.876 * [taylor]: Taking taylor expansion of re in re
4.876 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify 1 into 1
4.876 * [taylor]: Taking taylor expansion of (* im im) in re
4.876 * [taylor]: Taking taylor expansion of im in re
4.876 * [backup-simplify]: Simplify im into im
4.876 * [taylor]: Taking taylor expansion of im in re
4.876 * [backup-simplify]: Simplify im into im
4.876 * [backup-simplify]: Simplify (* 0 0) into 0
4.876 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.877 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.877 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.877 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.878 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.878 * [backup-simplify]: Simplify (+ 0 0) into 0
4.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.878 * [taylor]: Taking taylor expansion of re in re
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify 1 into 1
4.878 * [backup-simplify]: Simplify (+ im 0) into im
4.878 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
4.879 * [backup-simplify]: Simplify (+ 0 1) into 1
4.879 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
4.879 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re
4.879 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.879 * [taylor]: Taking taylor expansion of 2.0 in re
4.879 * [backup-simplify]: Simplify 2.0 into 2.0
4.879 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.880 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
4.880 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
4.880 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.880 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.880 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.880 * [taylor]: Taking taylor expansion of (* re re) in re
4.880 * [taylor]: Taking taylor expansion of re in re
4.880 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify 1 into 1
4.880 * [taylor]: Taking taylor expansion of re in re
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 1 into 1
4.881 * [taylor]: Taking taylor expansion of (* im im) in re
4.881 * [taylor]: Taking taylor expansion of im in re
4.881 * [backup-simplify]: Simplify im into im
4.881 * [taylor]: Taking taylor expansion of im in re
4.881 * [backup-simplify]: Simplify im into im
4.881 * [backup-simplify]: Simplify (* 0 0) into 0
4.881 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.881 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.881 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.882 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.882 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.883 * [backup-simplify]: Simplify (+ 0 0) into 0
4.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.883 * [taylor]: Taking taylor expansion of re in re
4.883 * [backup-simplify]: Simplify 0 into 0
4.883 * [backup-simplify]: Simplify 1 into 1
4.883 * [backup-simplify]: Simplify (+ im 0) into im
4.883 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
4.884 * [backup-simplify]: Simplify (+ 0 1) into 1
4.884 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
4.884 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
4.884 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
4.884 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.884 * [taylor]: Taking taylor expansion of 2.0 in im
4.884 * [backup-simplify]: Simplify 2.0 into 2.0
4.885 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.885 * [taylor]: Taking taylor expansion of (sqrt im) in im
4.885 * [taylor]: Taking taylor expansion of im in im
4.885 * [backup-simplify]: Simplify 0 into 0
4.885 * [backup-simplify]: Simplify 1 into 1
4.886 * [backup-simplify]: Simplify (sqrt 0) into 0
4.887 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.888 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
4.889 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
4.889 * [taylor]: Taking taylor expansion of 1/2 in im
4.889 * [backup-simplify]: Simplify 1/2 into 1/2
4.889 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
4.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.889 * [taylor]: Taking taylor expansion of 2.0 in im
4.889 * [backup-simplify]: Simplify 2.0 into 2.0
4.889 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
4.890 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.890 * [taylor]: Taking taylor expansion of im in im
4.890 * [backup-simplify]: Simplify 0 into 0
4.890 * [backup-simplify]: Simplify 1 into 1
4.890 * [backup-simplify]: Simplify (/ 1 1) into 1
4.891 * [backup-simplify]: Simplify (sqrt 0) into 0
4.892 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.896 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.897 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.901 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.902 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.904 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.906 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.907 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.907 * [backup-simplify]: Simplify (+ 1 0) into 1
4.908 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.908 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.909 * [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))))
4.910 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.911 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
4.911 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
4.911 * [taylor]: Taking taylor expansion of 1/8 in im
4.911 * [backup-simplify]: Simplify 1/8 into 1/8
4.911 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
4.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.911 * [taylor]: Taking taylor expansion of 2.0 in im
4.911 * [backup-simplify]: Simplify 2.0 into 2.0
4.912 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.912 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
4.912 * [taylor]: Taking taylor expansion of (pow im 3) in im
4.912 * [taylor]: Taking taylor expansion of im in im
4.913 * [backup-simplify]: Simplify 0 into 0
4.913 * [backup-simplify]: Simplify 1 into 1
4.913 * [backup-simplify]: Simplify (* 1 1) into 1
4.913 * [backup-simplify]: Simplify (* 1 1) into 1
4.914 * [backup-simplify]: Simplify (/ 1 1) into 1
4.914 * [backup-simplify]: Simplify (sqrt 0) into 0
4.916 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.921 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.924 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
4.926 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.927 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.932 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
4.934 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.938 * [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)))))))
4.939 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))
4.939 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
4.939 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im
4.939 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.939 * [taylor]: Taking taylor expansion of 2.0 in im
4.939 * [backup-simplify]: Simplify 2.0 into 2.0
4.939 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im
4.940 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
4.940 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.940 * [taylor]: Taking taylor expansion of re in im
4.940 * [backup-simplify]: Simplify re into re
4.940 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.940 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.940 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.940 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.940 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.941 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.941 * [taylor]: Taking taylor expansion of re in im
4.941 * [backup-simplify]: Simplify re into re
4.941 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.941 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.941 * [taylor]: Taking taylor expansion of re in im
4.941 * [backup-simplify]: Simplify re into re
4.941 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.941 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.941 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.941 * [taylor]: Taking taylor expansion of im in im
4.941 * [backup-simplify]: Simplify 0 into 0
4.941 * [backup-simplify]: Simplify 1 into 1
4.941 * [backup-simplify]: Simplify (/ 1 1) into 1
4.941 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.941 * [taylor]: Taking taylor expansion of im in im
4.941 * [backup-simplify]: Simplify 0 into 0
4.941 * [backup-simplify]: Simplify 1 into 1
4.942 * [backup-simplify]: Simplify (/ 1 1) into 1
4.942 * [backup-simplify]: Simplify (* 1 1) into 1
4.942 * [backup-simplify]: Simplify (+ 0 1) into 1
4.943 * [backup-simplify]: Simplify (sqrt 1) into 1
4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.945 * [backup-simplify]: Simplify (+ 0 0) into 0
4.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.946 * [backup-simplify]: Simplify (+ 0 1) into 1
4.947 * [backup-simplify]: Simplify (sqrt 0) into 0
4.948 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.948 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
4.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.948 * [taylor]: Taking taylor expansion of 2.0 in re
4.948 * [backup-simplify]: Simplify 2.0 into 2.0
4.949 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
4.950 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
4.950 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.950 * [taylor]: Taking taylor expansion of re in re
4.950 * [backup-simplify]: Simplify 0 into 0
4.950 * [backup-simplify]: Simplify 1 into 1
4.950 * [backup-simplify]: Simplify (/ 1 1) into 1
4.950 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.950 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.950 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.950 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.950 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.950 * [taylor]: Taking taylor expansion of re in re
4.950 * [backup-simplify]: Simplify 0 into 0
4.951 * [backup-simplify]: Simplify 1 into 1
4.951 * [backup-simplify]: Simplify (/ 1 1) into 1
4.951 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.951 * [taylor]: Taking taylor expansion of re in re
4.951 * [backup-simplify]: Simplify 0 into 0
4.951 * [backup-simplify]: Simplify 1 into 1
4.951 * [backup-simplify]: Simplify (/ 1 1) into 1
4.951 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.951 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.951 * [taylor]: Taking taylor expansion of im in re
4.952 * [backup-simplify]: Simplify im into im
4.952 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.952 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.952 * [taylor]: Taking taylor expansion of im in re
4.952 * [backup-simplify]: Simplify im into im
4.952 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.952 * [backup-simplify]: Simplify (* 1 1) into 1
4.952 * [backup-simplify]: Simplify (+ 1 0) into 1
4.953 * [backup-simplify]: Simplify (sqrt 1) into 1
4.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.955 * [backup-simplify]: Simplify (+ 0 0) into 0
4.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.956 * [backup-simplify]: Simplify (+ 1 1) into 2
4.956 * [backup-simplify]: Simplify (sqrt 0) into 0
4.957 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
4.957 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
4.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.957 * [taylor]: Taking taylor expansion of 2.0 in re
4.957 * [backup-simplify]: Simplify 2.0 into 2.0
4.957 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
4.958 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
4.958 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.958 * [taylor]: Taking taylor expansion of re in re
4.958 * [backup-simplify]: Simplify 0 into 0
4.958 * [backup-simplify]: Simplify 1 into 1
4.958 * [backup-simplify]: Simplify (/ 1 1) into 1
4.958 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.958 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.958 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.958 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.958 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.958 * [taylor]: Taking taylor expansion of re in re
4.958 * [backup-simplify]: Simplify 0 into 0
4.958 * [backup-simplify]: Simplify 1 into 1
4.958 * [backup-simplify]: Simplify (/ 1 1) into 1
4.958 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.958 * [taylor]: Taking taylor expansion of re in re
4.958 * [backup-simplify]: Simplify 0 into 0
4.958 * [backup-simplify]: Simplify 1 into 1
4.959 * [backup-simplify]: Simplify (/ 1 1) into 1
4.959 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.959 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.959 * [taylor]: Taking taylor expansion of im in re
4.959 * [backup-simplify]: Simplify im into im
4.959 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.959 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.959 * [taylor]: Taking taylor expansion of im in re
4.959 * [backup-simplify]: Simplify im into im
4.959 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.959 * [backup-simplify]: Simplify (* 1 1) into 1
4.959 * [backup-simplify]: Simplify (+ 1 0) into 1
4.960 * [backup-simplify]: Simplify (sqrt 1) into 1
4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.961 * [backup-simplify]: Simplify (+ 0 0) into 0
4.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.962 * [backup-simplify]: Simplify (+ 1 1) into 2
4.962 * [backup-simplify]: Simplify (sqrt 0) into 0
4.963 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
4.963 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.963 * [taylor]: Taking taylor expansion of 0 in im
4.963 * [backup-simplify]: Simplify 0 into 0
4.964 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.964 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
4.964 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
4.964 * [taylor]: Taking taylor expansion of +nan.0 in im
4.964 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.964 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.964 * [taylor]: Taking taylor expansion of 2.0 in im
4.964 * [backup-simplify]: Simplify 2.0 into 2.0
4.965 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.965 * [backup-simplify]: Simplify 0 into 0
4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.966 * [backup-simplify]: Simplify (+ 0 0) into 0
4.967 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.968 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.970 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
4.970 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
4.970 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
4.970 * [taylor]: Taking taylor expansion of +nan.0 in im
4.970 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.970 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.970 * [taylor]: Taking taylor expansion of 2.0 in im
4.970 * [backup-simplify]: Simplify 2.0 into 2.0
4.970 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.971 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.972 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.973 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.973 * [backup-simplify]: Simplify 0 into 0
4.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.975 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.975 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.976 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.976 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.977 * [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))
4.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.979 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
4.979 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
4.979 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
4.979 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
4.979 * [taylor]: Taking taylor expansion of +nan.0 in im
4.979 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.979 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.979 * [taylor]: Taking taylor expansion of 2.0 in im
4.979 * [backup-simplify]: Simplify 2.0 into 2.0
4.979 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.980 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
4.980 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
4.980 * [taylor]: Taking taylor expansion of +nan.0 in im
4.980 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.980 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
4.980 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.980 * [taylor]: Taking taylor expansion of 2.0 in im
4.980 * [backup-simplify]: Simplify 2.0 into 2.0
4.980 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.981 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.981 * [taylor]: Taking taylor expansion of im in im
4.981 * [backup-simplify]: Simplify 0 into 0
4.981 * [backup-simplify]: Simplify 1 into 1
4.981 * [backup-simplify]: Simplify (* 1 1) into 1
4.982 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.983 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.983 * [backup-simplify]: Simplify (- 0) into 0
4.983 * [backup-simplify]: Simplify (+ 0 0) into 0
4.984 * [backup-simplify]: Simplify (- 0) into 0
4.984 * [backup-simplify]: Simplify 0 into 0
4.984 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.985 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.986 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.986 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.987 * [backup-simplify]: Simplify (- 0) into 0
4.987 * [backup-simplify]: Simplify 0 into 0
4.987 * [backup-simplify]: Simplify 0 into 0
4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.991 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.992 * [backup-simplify]: Simplify (+ 0 0) into 0
4.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.993 * [backup-simplify]: Simplify (+ 0 0) into 0
4.994 * [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)))
4.996 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.998 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
4.998 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
4.998 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
4.998 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
4.998 * [taylor]: Taking taylor expansion of +nan.0 in im
4.998 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.998 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.998 * [taylor]: Taking taylor expansion of 2.0 in im
4.998 * [backup-simplify]: Simplify 2.0 into 2.0
4.999 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.000 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
5.000 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.000 * [taylor]: Taking taylor expansion of +nan.0 in im
5.000 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.000 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.000 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.000 * [taylor]: Taking taylor expansion of 2.0 in im
5.000 * [backup-simplify]: Simplify 2.0 into 2.0
5.000 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.001 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.001 * [taylor]: Taking taylor expansion of im in im
5.001 * [backup-simplify]: Simplify 0 into 0
5.001 * [backup-simplify]: Simplify 1 into 1
5.002 * [backup-simplify]: Simplify (* 1 1) into 1
5.002 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.005 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.005 * [backup-simplify]: Simplify (- 0) into 0
5.006 * [backup-simplify]: Simplify (+ 0 0) into 0
5.006 * [backup-simplify]: Simplify (- 0) into 0
5.006 * [backup-simplify]: Simplify 0 into 0
5.007 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.008 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.011 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.012 * [backup-simplify]: Simplify (- 0) into 0
5.013 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
5.018 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.020 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.025 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
5.025 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
5.025 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
5.025 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
5.025 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.025 * [taylor]: Taking taylor expansion of 2.0 in im
5.026 * [backup-simplify]: Simplify 2.0 into 2.0
5.026 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.027 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
5.027 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
5.027 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.027 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.027 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.027 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.027 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.027 * [taylor]: Taking taylor expansion of -1 in im
5.027 * [backup-simplify]: Simplify -1 into -1
5.027 * [taylor]: Taking taylor expansion of re in im
5.027 * [backup-simplify]: Simplify re into re
5.027 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.027 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.027 * [taylor]: Taking taylor expansion of -1 in im
5.027 * [backup-simplify]: Simplify -1 into -1
5.027 * [taylor]: Taking taylor expansion of re in im
5.027 * [backup-simplify]: Simplify re into re
5.027 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.027 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.028 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.028 * [taylor]: Taking taylor expansion of -1 in im
5.028 * [backup-simplify]: Simplify -1 into -1
5.028 * [taylor]: Taking taylor expansion of im in im
5.028 * [backup-simplify]: Simplify 0 into 0
5.028 * [backup-simplify]: Simplify 1 into 1
5.028 * [backup-simplify]: Simplify (/ -1 1) into -1
5.028 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.028 * [taylor]: Taking taylor expansion of -1 in im
5.028 * [backup-simplify]: Simplify -1 into -1
5.028 * [taylor]: Taking taylor expansion of im in im
5.028 * [backup-simplify]: Simplify 0 into 0
5.028 * [backup-simplify]: Simplify 1 into 1
5.029 * [backup-simplify]: Simplify (/ -1 1) into -1
5.029 * [backup-simplify]: Simplify (* -1 -1) into 1
5.030 * [backup-simplify]: Simplify (+ 0 1) into 1
5.030 * [backup-simplify]: Simplify (sqrt 1) into 1
5.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.032 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.033 * [backup-simplify]: Simplify (+ 0 0) into 0
5.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.033 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.033 * [taylor]: Taking taylor expansion of re in im
5.033 * [backup-simplify]: Simplify re into re
5.033 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.034 * [backup-simplify]: Simplify (+ 1 0) into 1
5.034 * [backup-simplify]: Simplify (sqrt 0) into 0
5.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.036 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
5.036 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.036 * [taylor]: Taking taylor expansion of 2.0 in re
5.036 * [backup-simplify]: Simplify 2.0 into 2.0
5.036 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.037 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
5.037 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.037 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.037 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.037 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.037 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.037 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.037 * [taylor]: Taking taylor expansion of -1 in re
5.037 * [backup-simplify]: Simplify -1 into -1
5.037 * [taylor]: Taking taylor expansion of re in re
5.037 * [backup-simplify]: Simplify 0 into 0
5.037 * [backup-simplify]: Simplify 1 into 1
5.038 * [backup-simplify]: Simplify (/ -1 1) into -1
5.038 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.038 * [taylor]: Taking taylor expansion of -1 in re
5.038 * [backup-simplify]: Simplify -1 into -1
5.038 * [taylor]: Taking taylor expansion of re in re
5.038 * [backup-simplify]: Simplify 0 into 0
5.038 * [backup-simplify]: Simplify 1 into 1
5.038 * [backup-simplify]: Simplify (/ -1 1) into -1
5.038 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.038 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.038 * [taylor]: Taking taylor expansion of -1 in re
5.038 * [backup-simplify]: Simplify -1 into -1
5.039 * [taylor]: Taking taylor expansion of im in re
5.039 * [backup-simplify]: Simplify im into im
5.039 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.039 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.039 * [taylor]: Taking taylor expansion of -1 in re
5.039 * [backup-simplify]: Simplify -1 into -1
5.039 * [taylor]: Taking taylor expansion of im in re
5.039 * [backup-simplify]: Simplify im into im
5.039 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.039 * [backup-simplify]: Simplify (* -1 -1) into 1
5.040 * [backup-simplify]: Simplify (+ 1 0) into 1
5.040 * [backup-simplify]: Simplify (sqrt 1) into 1
5.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.042 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.043 * [backup-simplify]: Simplify (+ 0 0) into 0
5.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.044 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.044 * [taylor]: Taking taylor expansion of re in re
5.044 * [backup-simplify]: Simplify 0 into 0
5.044 * [backup-simplify]: Simplify 1 into 1
5.044 * [backup-simplify]: Simplify (/ 1 1) into 1
5.045 * [backup-simplify]: Simplify (- 1) into -1
5.045 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.047 * [backup-simplify]: Simplify (- 0) into 0
5.047 * [backup-simplify]: Simplify (+ 0 0) into 0
5.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.051 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.051 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.052 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.052 * [backup-simplify]: Simplify (- 0) into 0
5.053 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.053 * [backup-simplify]: Simplify (sqrt 0) into 0
5.053 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
5.053 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
5.053 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.053 * [taylor]: Taking taylor expansion of 2.0 in re
5.053 * [backup-simplify]: Simplify 2.0 into 2.0
5.054 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.054 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
5.054 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.054 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.054 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.054 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.054 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.054 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.054 * [taylor]: Taking taylor expansion of -1 in re
5.054 * [backup-simplify]: Simplify -1 into -1
5.054 * [taylor]: Taking taylor expansion of re in re
5.054 * [backup-simplify]: Simplify 0 into 0
5.054 * [backup-simplify]: Simplify 1 into 1
5.055 * [backup-simplify]: Simplify (/ -1 1) into -1
5.055 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.055 * [taylor]: Taking taylor expansion of -1 in re
5.055 * [backup-simplify]: Simplify -1 into -1
5.055 * [taylor]: Taking taylor expansion of re in re
5.055 * [backup-simplify]: Simplify 0 into 0
5.055 * [backup-simplify]: Simplify 1 into 1
5.055 * [backup-simplify]: Simplify (/ -1 1) into -1
5.055 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.055 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.055 * [taylor]: Taking taylor expansion of -1 in re
5.055 * [backup-simplify]: Simplify -1 into -1
5.055 * [taylor]: Taking taylor expansion of im in re
5.055 * [backup-simplify]: Simplify im into im
5.055 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.055 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.055 * [taylor]: Taking taylor expansion of -1 in re
5.055 * [backup-simplify]: Simplify -1 into -1
5.055 * [taylor]: Taking taylor expansion of im in re
5.055 * [backup-simplify]: Simplify im into im
5.055 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.055 * [backup-simplify]: Simplify (* -1 -1) into 1
5.056 * [backup-simplify]: Simplify (+ 1 0) into 1
5.056 * [backup-simplify]: Simplify (sqrt 1) into 1
5.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.057 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.057 * [backup-simplify]: Simplify (+ 0 0) into 0
5.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.058 * [taylor]: Taking taylor expansion of re in re
5.058 * [backup-simplify]: Simplify 0 into 0
5.058 * [backup-simplify]: Simplify 1 into 1
5.058 * [backup-simplify]: Simplify (/ 1 1) into 1
5.058 * [backup-simplify]: Simplify (- 1) into -1
5.059 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.059 * [backup-simplify]: Simplify (- 0) into 0
5.059 * [backup-simplify]: Simplify (+ 0 0) into 0
5.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.061 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.061 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.062 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.063 * [backup-simplify]: Simplify (- 0) into 0
5.063 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.063 * [backup-simplify]: Simplify (sqrt 0) into 0
5.064 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
5.064 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.064 * [taylor]: Taking taylor expansion of 0 in im
5.064 * [backup-simplify]: Simplify 0 into 0
5.065 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
5.065 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
5.065 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.065 * [taylor]: Taking taylor expansion of +nan.0 in im
5.065 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.065 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.065 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.065 * [taylor]: Taking taylor expansion of 2.0 in im
5.065 * [backup-simplify]: Simplify 2.0 into 2.0
5.065 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.066 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.066 * [taylor]: Taking taylor expansion of im in im
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [backup-simplify]: Simplify 1 into 1
5.066 * [backup-simplify]: Simplify (* 1 1) into 1
5.066 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.068 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.068 * [backup-simplify]: Simplify (- 0) into 0
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify 0 into 0
5.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.070 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.070 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.070 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.070 * [backup-simplify]: Simplify (+ 0 0) into 0
5.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.072 * [backup-simplify]: Simplify (- 0) into 0
5.072 * [backup-simplify]: Simplify (+ 0 0) into 0
5.073 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
5.073 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.074 * [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))))
5.074 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
5.074 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
5.074 * [taylor]: Taking taylor expansion of +nan.0 in im
5.074 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.074 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
5.074 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.074 * [taylor]: Taking taylor expansion of 2.0 in im
5.074 * [backup-simplify]: Simplify 2.0 into 2.0
5.074 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.075 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.075 * [taylor]: Taking taylor expansion of im in im
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [backup-simplify]: Simplify 1 into 1
5.075 * [backup-simplify]: Simplify (* 1 1) into 1
5.075 * [backup-simplify]: Simplify (* 1 1) into 1
5.076 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.077 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.083 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
5.083 * [backup-simplify]: Simplify (- 0) into 0
5.083 * [backup-simplify]: Simplify 0 into 0
5.084 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.086 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.086 * [backup-simplify]: Simplify (- 0) into 0
5.086 * [backup-simplify]: Simplify 0 into 0
5.086 * [backup-simplify]: Simplify 0 into 0
5.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.088 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.088 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.088 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
5.088 * [backup-simplify]: Simplify (+ 0 0) into 0
5.089 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
5.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.090 * [backup-simplify]: Simplify (- 0) into 0
5.090 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
5.091 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
5.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.092 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 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))))))
5.093 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
5.093 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
5.093 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
5.093 * [taylor]: Taking taylor expansion of +nan.0 in im
5.093 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.093 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
5.093 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.093 * [taylor]: Taking taylor expansion of 2.0 in im
5.093 * [backup-simplify]: Simplify 2.0 into 2.0
5.093 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.093 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.093 * [taylor]: Taking taylor expansion of im in im
5.093 * [backup-simplify]: Simplify 0 into 0
5.093 * [backup-simplify]: Simplify 1 into 1
5.094 * [backup-simplify]: Simplify (* 1 1) into 1
5.094 * [backup-simplify]: Simplify (* 1 1) into 1
5.094 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.094 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
5.094 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
5.095 * [taylor]: Taking taylor expansion of +nan.0 in im
5.095 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.095 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
5.095 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.095 * [taylor]: Taking taylor expansion of 2.0 in im
5.095 * [backup-simplify]: Simplify 2.0 into 2.0
5.095 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.095 * [taylor]: Taking taylor expansion of (pow im 6) in im
5.095 * [taylor]: Taking taylor expansion of im in im
5.095 * [backup-simplify]: Simplify 0 into 0
5.095 * [backup-simplify]: Simplify 1 into 1
5.096 * [backup-simplify]: Simplify (* 1 1) into 1
5.096 * [backup-simplify]: Simplify (* 1 1) into 1
5.096 * [backup-simplify]: Simplify (* 1 1) into 1
5.097 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.097 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.103 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
5.104 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.106 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.123 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
5.123 * [backup-simplify]: Simplify (- 0) into 0
5.124 * [backup-simplify]: Simplify (+ 0 0) into 0
5.124 * [backup-simplify]: Simplify (- 0) into 0
5.124 * [backup-simplify]: Simplify 0 into 0
5.124 * [backup-simplify]: Simplify 0 into 0
5.124 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1)
5.124 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
5.124 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
5.124 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.125 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.125 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.125 * [taylor]: Taking taylor expansion of (* re re) in im
5.125 * [taylor]: Taking taylor expansion of re in im
5.125 * [backup-simplify]: Simplify re into re
5.125 * [taylor]: Taking taylor expansion of re in im
5.125 * [backup-simplify]: Simplify re into re
5.125 * [taylor]: Taking taylor expansion of (* im im) in im
5.125 * [taylor]: Taking taylor expansion of im in im
5.125 * [backup-simplify]: Simplify 0 into 0
5.125 * [backup-simplify]: Simplify 1 into 1
5.125 * [taylor]: Taking taylor expansion of im in im
5.125 * [backup-simplify]: Simplify 0 into 0
5.125 * [backup-simplify]: Simplify 1 into 1
5.125 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.125 * [backup-simplify]: Simplify (* 0 0) into 0
5.126 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.126 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.126 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.126 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.127 * [backup-simplify]: Simplify (+ 0 0) into 0
5.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.127 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.127 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.127 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.127 * [taylor]: Taking taylor expansion of (* re re) in re
5.127 * [taylor]: Taking taylor expansion of re in re
5.127 * [backup-simplify]: Simplify 0 into 0
5.127 * [backup-simplify]: Simplify 1 into 1
5.127 * [taylor]: Taking taylor expansion of re in re
5.127 * [backup-simplify]: Simplify 0 into 0
5.127 * [backup-simplify]: Simplify 1 into 1
5.127 * [taylor]: Taking taylor expansion of (* im im) in re
5.128 * [taylor]: Taking taylor expansion of im in re
5.128 * [backup-simplify]: Simplify im into im
5.128 * [taylor]: Taking taylor expansion of im in re
5.128 * [backup-simplify]: Simplify im into im
5.128 * [backup-simplify]: Simplify (* 0 0) into 0
5.128 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.128 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.128 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.129 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.129 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.129 * [backup-simplify]: Simplify (+ 0 0) into 0
5.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.130 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.130 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.130 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.130 * [taylor]: Taking taylor expansion of (* re re) in re
5.130 * [taylor]: Taking taylor expansion of re in re
5.130 * [backup-simplify]: Simplify 0 into 0
5.130 * [backup-simplify]: Simplify 1 into 1
5.130 * [taylor]: Taking taylor expansion of re in re
5.130 * [backup-simplify]: Simplify 0 into 0
5.130 * [backup-simplify]: Simplify 1 into 1
5.130 * [taylor]: Taking taylor expansion of (* im im) in re
5.130 * [taylor]: Taking taylor expansion of im in re
5.130 * [backup-simplify]: Simplify im into im
5.130 * [taylor]: Taking taylor expansion of im in re
5.130 * [backup-simplify]: Simplify im into im
5.131 * [backup-simplify]: Simplify (* 0 0) into 0
5.131 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.131 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.131 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.132 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.132 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.132 * [backup-simplify]: Simplify (+ 0 0) into 0
5.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.132 * [taylor]: Taking taylor expansion of im in im
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [backup-simplify]: Simplify 1 into 1
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [taylor]: Taking taylor expansion of 0 in im
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [backup-simplify]: Simplify 1 into 1
5.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.134 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.135 * [backup-simplify]: Simplify (+ 1 0) into 1
5.135 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.135 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.135 * [taylor]: Taking taylor expansion of 1/2 in im
5.135 * [backup-simplify]: Simplify 1/2 into 1/2
5.135 * [taylor]: Taking taylor expansion of im in im
5.135 * [backup-simplify]: Simplify 0 into 0
5.136 * [backup-simplify]: Simplify 1 into 1
5.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.137 * [backup-simplify]: Simplify 0 into 0
5.137 * [backup-simplify]: Simplify 0 into 0
5.137 * [backup-simplify]: Simplify 0 into 0
5.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.139 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.139 * [backup-simplify]: Simplify (+ 0 0) into 0
5.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.139 * [taylor]: Taking taylor expansion of 0 in im
5.139 * [backup-simplify]: Simplify 0 into 0
5.140 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.141 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
5.141 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
5.141 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.141 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.141 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.141 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.141 * [taylor]: Taking taylor expansion of re in im
5.141 * [backup-simplify]: Simplify re into re
5.141 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.141 * [taylor]: Taking taylor expansion of re in im
5.141 * [backup-simplify]: Simplify re into re
5.141 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.142 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.142 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.142 * [taylor]: Taking taylor expansion of im in im
5.142 * [backup-simplify]: Simplify 0 into 0
5.142 * [backup-simplify]: Simplify 1 into 1
5.142 * [backup-simplify]: Simplify (/ 1 1) into 1
5.142 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.142 * [taylor]: Taking taylor expansion of im in im
5.142 * [backup-simplify]: Simplify 0 into 0
5.142 * [backup-simplify]: Simplify 1 into 1
5.143 * [backup-simplify]: Simplify (/ 1 1) into 1
5.143 * [backup-simplify]: Simplify (* 1 1) into 1
5.143 * [backup-simplify]: Simplify (+ 0 1) into 1
5.144 * [backup-simplify]: Simplify (sqrt 1) into 1
5.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.146 * [backup-simplify]: Simplify (+ 0 0) into 0
5.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.147 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.147 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.147 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.147 * [taylor]: Taking taylor expansion of re in re
5.147 * [backup-simplify]: Simplify 0 into 0
5.147 * [backup-simplify]: Simplify 1 into 1
5.148 * [backup-simplify]: Simplify (/ 1 1) into 1
5.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.148 * [taylor]: Taking taylor expansion of re in re
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify 1 into 1
5.148 * [backup-simplify]: Simplify (/ 1 1) into 1
5.148 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.148 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.148 * [taylor]: Taking taylor expansion of im in re
5.148 * [backup-simplify]: Simplify im into im
5.149 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.149 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.149 * [taylor]: Taking taylor expansion of im in re
5.149 * [backup-simplify]: Simplify im into im
5.149 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.149 * [backup-simplify]: Simplify (* 1 1) into 1
5.150 * [backup-simplify]: Simplify (+ 1 0) into 1
5.150 * [backup-simplify]: Simplify (sqrt 1) into 1
5.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.153 * [backup-simplify]: Simplify (+ 0 0) into 0
5.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.153 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.154 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.154 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.154 * [taylor]: Taking taylor expansion of re in re
5.154 * [backup-simplify]: Simplify 0 into 0
5.154 * [backup-simplify]: Simplify 1 into 1
5.155 * [backup-simplify]: Simplify (/ 1 1) into 1
5.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.155 * [taylor]: Taking taylor expansion of re in re
5.155 * [backup-simplify]: Simplify 0 into 0
5.155 * [backup-simplify]: Simplify 1 into 1
5.155 * [backup-simplify]: Simplify (/ 1 1) into 1
5.155 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.155 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.155 * [taylor]: Taking taylor expansion of im in re
5.155 * [backup-simplify]: Simplify im into im
5.155 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.155 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.155 * [taylor]: Taking taylor expansion of im in re
5.155 * [backup-simplify]: Simplify im into im
5.155 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.156 * [backup-simplify]: Simplify (* 1 1) into 1
5.156 * [backup-simplify]: Simplify (+ 1 0) into 1
5.157 * [backup-simplify]: Simplify (sqrt 1) into 1
5.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.159 * [backup-simplify]: Simplify (+ 0 0) into 0
5.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.160 * [taylor]: Taking taylor expansion of 1 in im
5.160 * [backup-simplify]: Simplify 1 into 1
5.160 * [taylor]: Taking taylor expansion of 0 in im
5.160 * [backup-simplify]: Simplify 0 into 0
5.160 * [backup-simplify]: Simplify 1 into 1
5.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.163 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.163 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.165 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.165 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.165 * [taylor]: Taking taylor expansion of 1/2 in im
5.165 * [backup-simplify]: Simplify 1/2 into 1/2
5.165 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.165 * [taylor]: Taking taylor expansion of im in im
5.165 * [backup-simplify]: Simplify 0 into 0
5.165 * [backup-simplify]: Simplify 1 into 1
5.165 * [backup-simplify]: Simplify (* 1 1) into 1
5.166 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.167 * [backup-simplify]: Simplify 0 into 0
5.168 * [backup-simplify]: Simplify 0 into 0
5.168 * [backup-simplify]: Simplify 0 into 0
5.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.171 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.171 * [backup-simplify]: Simplify (+ 0 0) into 0
5.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.172 * [taylor]: Taking taylor expansion of 0 in im
5.172 * [backup-simplify]: Simplify 0 into 0
5.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.175 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
5.175 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
5.175 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.175 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.175 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.175 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.175 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.175 * [taylor]: Taking taylor expansion of -1 in im
5.175 * [backup-simplify]: Simplify -1 into -1
5.175 * [taylor]: Taking taylor expansion of re in im
5.175 * [backup-simplify]: Simplify re into re
5.175 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.175 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.175 * [taylor]: Taking taylor expansion of -1 in im
5.175 * [backup-simplify]: Simplify -1 into -1
5.175 * [taylor]: Taking taylor expansion of re in im
5.175 * [backup-simplify]: Simplify re into re
5.175 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.175 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.175 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.175 * [taylor]: Taking taylor expansion of -1 in im
5.175 * [backup-simplify]: Simplify -1 into -1
5.175 * [taylor]: Taking taylor expansion of im in im
5.175 * [backup-simplify]: Simplify 0 into 0
5.175 * [backup-simplify]: Simplify 1 into 1
5.176 * [backup-simplify]: Simplify (/ -1 1) into -1
5.176 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.176 * [taylor]: Taking taylor expansion of -1 in im
5.176 * [backup-simplify]: Simplify -1 into -1
5.176 * [taylor]: Taking taylor expansion of im in im
5.176 * [backup-simplify]: Simplify 0 into 0
5.176 * [backup-simplify]: Simplify 1 into 1
5.177 * [backup-simplify]: Simplify (/ -1 1) into -1
5.177 * [backup-simplify]: Simplify (* -1 -1) into 1
5.177 * [backup-simplify]: Simplify (+ 0 1) into 1
5.178 * [backup-simplify]: Simplify (sqrt 1) into 1
5.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.180 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.181 * [backup-simplify]: Simplify (+ 0 0) into 0
5.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.181 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.182 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.182 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.182 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.182 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.182 * [taylor]: Taking taylor expansion of -1 in re
5.182 * [backup-simplify]: Simplify -1 into -1
5.182 * [taylor]: Taking taylor expansion of re in re
5.182 * [backup-simplify]: Simplify 0 into 0
5.182 * [backup-simplify]: Simplify 1 into 1
5.182 * [backup-simplify]: Simplify (/ -1 1) into -1
5.182 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.182 * [taylor]: Taking taylor expansion of -1 in re
5.182 * [backup-simplify]: Simplify -1 into -1
5.182 * [taylor]: Taking taylor expansion of re in re
5.182 * [backup-simplify]: Simplify 0 into 0
5.182 * [backup-simplify]: Simplify 1 into 1
5.183 * [backup-simplify]: Simplify (/ -1 1) into -1
5.183 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.183 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.183 * [taylor]: Taking taylor expansion of -1 in re
5.183 * [backup-simplify]: Simplify -1 into -1
5.183 * [taylor]: Taking taylor expansion of im in re
5.183 * [backup-simplify]: Simplify im into im
5.183 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.183 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.183 * [taylor]: Taking taylor expansion of -1 in re
5.183 * [backup-simplify]: Simplify -1 into -1
5.184 * [taylor]: Taking taylor expansion of im in re
5.184 * [backup-simplify]: Simplify im into im
5.184 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.184 * [backup-simplify]: Simplify (* -1 -1) into 1
5.184 * [backup-simplify]: Simplify (+ 1 0) into 1
5.185 * [backup-simplify]: Simplify (sqrt 1) into 1
5.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.187 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.187 * [backup-simplify]: Simplify (+ 0 0) into 0
5.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.188 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.188 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.188 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.188 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.188 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.188 * [taylor]: Taking taylor expansion of -1 in re
5.188 * [backup-simplify]: Simplify -1 into -1
5.188 * [taylor]: Taking taylor expansion of re in re
5.188 * [backup-simplify]: Simplify 0 into 0
5.188 * [backup-simplify]: Simplify 1 into 1
5.188 * [backup-simplify]: Simplify (/ -1 1) into -1
5.188 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.188 * [taylor]: Taking taylor expansion of -1 in re
5.188 * [backup-simplify]: Simplify -1 into -1
5.188 * [taylor]: Taking taylor expansion of re in re
5.188 * [backup-simplify]: Simplify 0 into 0
5.188 * [backup-simplify]: Simplify 1 into 1
5.189 * [backup-simplify]: Simplify (/ -1 1) into -1
5.189 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.189 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.189 * [taylor]: Taking taylor expansion of -1 in re
5.189 * [backup-simplify]: Simplify -1 into -1
5.189 * [taylor]: Taking taylor expansion of im in re
5.189 * [backup-simplify]: Simplify im into im
5.189 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.189 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.189 * [taylor]: Taking taylor expansion of -1 in re
5.189 * [backup-simplify]: Simplify -1 into -1
5.189 * [taylor]: Taking taylor expansion of im in re
5.189 * [backup-simplify]: Simplify im into im
5.189 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.189 * [backup-simplify]: Simplify (* -1 -1) into 1
5.189 * [backup-simplify]: Simplify (+ 1 0) into 1
5.190 * [backup-simplify]: Simplify (sqrt 1) into 1
5.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.191 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.191 * [backup-simplify]: Simplify (+ 0 0) into 0
5.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.192 * [taylor]: Taking taylor expansion of 1 in im
5.192 * [backup-simplify]: Simplify 1 into 1
5.192 * [taylor]: Taking taylor expansion of 0 in im
5.192 * [backup-simplify]: Simplify 0 into 0
5.192 * [backup-simplify]: Simplify 1 into 1
5.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.194 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.194 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.194 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.195 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.195 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.195 * [taylor]: Taking taylor expansion of 1/2 in im
5.195 * [backup-simplify]: Simplify 1/2 into 1/2
5.195 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.195 * [taylor]: Taking taylor expansion of im in im
5.195 * [backup-simplify]: Simplify 0 into 0
5.195 * [backup-simplify]: Simplify 1 into 1
5.195 * [backup-simplify]: Simplify (* 1 1) into 1
5.195 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.196 * [backup-simplify]: Simplify 0 into 0
5.196 * [backup-simplify]: Simplify 0 into 0
5.196 * [backup-simplify]: Simplify 0 into 0
5.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.198 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.198 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.198 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.198 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.198 * [backup-simplify]: Simplify (+ 0 0) into 0
5.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.199 * [taylor]: Taking taylor expansion of 0 in im
5.199 * [backup-simplify]: Simplify 0 into 0
5.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.200 * [backup-simplify]: Simplify 0 into 0
5.200 * [backup-simplify]: Simplify 0 into 0
5.200 * [backup-simplify]: Simplify 0 into 0
5.200 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.200 * * * [progress]: simplifying candidates
5.201 * [simplify]: Simplifying:
  (expm1 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (log1p (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (* (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re))
  (log (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (exp (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (* (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))
  (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (* (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3))
  (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))
  (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re))
  (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
  (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (hypot re im) (hypot re im))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (hypot re im) (hypot re im))
  (+ 1 1)
  (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
  (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))
  (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 1 1)
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) 1)
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (expm1 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (log1p (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (log (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (exp (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (* (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))
  (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (* (* (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (sqrt 2.0)
  (sqrt (* (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) 2.0))
  (sqrt (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))
  (sqrt (* (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) 2.0))
  (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (sqrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 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
  im
  re
  (* -1 re)
  (- (+ (* +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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
  im
  re
  (* -1 re)
5.203 * * [simplify]: Extracting # 0 : cost  0
5.203 * * [simplify]: Extracting # 1 : cost  0
5.203 * * [simplify]: Extracting # 2 : cost  0
5.203 * * [simplify]: Extracting # 3 : cost  0
5.203 * * [simplify]: Extracting # 4 : cost  0
5.203 * * [simplify]: Extracting # 5 : cost  0
5.204 * * [simplify]: Extracting # 6 : cost  0
5.204 * * [simplify]: Extracting # 7 : cost  0
5.204 * * [simplify]: Extracting # 8 : cost  0
5.204 * * [simplify]: Extracting # 9 : cost  0
5.204 * * [simplify]: Extracting # 10 : cost  0
5.204 * * [simplify]: Extracting # 11 : cost  0
5.205 * * [simplify]: Extracting # 12 : cost  0
5.205 * * [simplify]: Extracting # 13 : cost  0
5.205 * * [simplify]: iteration  0 :  129  enodes  (cost  1271 )
5.251 * * [simplify]: Extracting # 0 : cost  0
5.252 * * [simplify]: Extracting # 1 : cost  0
5.252 * * [simplify]: Extracting # 2 : cost  0
5.252 * * [simplify]: Extracting # 3 : cost  0
5.253 * * [simplify]: Extracting # 4 : cost  0
5.253 * * [simplify]: iteration  1 :  291  enodes  (cost  695 )
5.368 * * [simplify]: Extracting # 0 : cost  0
5.370 * * [simplify]: Extracting # 1 : cost  0
5.373 * * [simplify]: Extracting # 2 : cost  0
5.375 * * [simplify]: Extracting # 3 : cost  0
5.377 * * [simplify]: Extracting # 4 : cost  0
5.379 * * [simplify]: iteration  2 :  1169  enodes  (cost  638 )
6.000 * * [simplify]: Extracting # 0 : cost  0
6.016 * * [simplify]: Extracting # 1 : cost  0
6.024 * * [simplify]: Extracting # 2 : cost  0
6.030 * * [simplify]: Extracting # 3 : cost  0
6.035 * * [simplify]: Extracting # 4 : cost  0
6.041 * * [simplify]: iteration done:  5000  enodes  (cost  623 )
6.042 * [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) (- re (hypot re im)))))
  (- (* (hypot re im) (hypot re im)) (pow re 2))
  (- (hypot re im) re)
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  2
  1
  1
  (* (hypot re im) (hypot re im))
  (hypot re im)
  (* (hypot re im) (hypot re im))
  2
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (pow (hypot re im) 3)
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (* (hypot re im) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (pow (cbrt (sqrt (hypot re im))) (+ 3 1))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  2
  1
  (* (pow (cbrt (sqrt (hypot re im))) (+ 3 1)) (cbrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (pow (cbrt (sqrt (hypot re im))) (+ 3 1))
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (hypot re im)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (hypot re im)
  (expm1 (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 (* 2.0 (+ (pow re 3) (pow (hypot re im) 3))))
  (sqrt (fma re re (- (* (hypot re im) (- re (hypot re im))))))
  (sqrt (* (- (* (hypot re im) (hypot re im)) (pow re 2)) 2.0))
  (sqrt (- (hypot re im) re))
  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
  im
  re
  (- re)
  (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re)))
  (* +nan.0 (+ (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (pow re 2))) (- (sqrt 2.0))))
  0
  im
  re
  (- re)
6.042 * * * [progress]: adding candidates to table
6.464 * * [progress]: iteration 4 / 4
6.464 * * * [progress]: picking best candidate
6.528 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0))))>
6.528 * * * [progress]: localizing error
6.575 * * * [progress]: generating rewritten candidates
6.575 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
6.599 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1)
6.603 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
6.635 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
6.669 * * * [progress]: generating series expansions
6.669 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
6.669 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) into (+ (hypot re im) re)
6.669 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
6.669 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
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
6.670 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.670 * [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
6.671 * [backup-simplify]: Simplify (+ 0 0) into 0
6.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.671 * [taylor]: Taking taylor expansion of re in im
6.671 * [backup-simplify]: Simplify re into re
6.671 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
6.671 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.671 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.671 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.671 * [taylor]: Taking taylor expansion of (* re re) in re
6.671 * [taylor]: Taking taylor expansion of re in re
6.671 * [backup-simplify]: Simplify 0 into 0
6.671 * [backup-simplify]: Simplify 1 into 1
6.672 * [taylor]: Taking taylor expansion of re in re
6.672 * [backup-simplify]: Simplify 0 into 0
6.672 * [backup-simplify]: Simplify 1 into 1
6.672 * [taylor]: Taking taylor expansion of (* im im) in re
6.672 * [taylor]: Taking taylor expansion of im in re
6.672 * [backup-simplify]: Simplify im into im
6.672 * [taylor]: Taking taylor expansion of im in re
6.672 * [backup-simplify]: Simplify im into im
6.672 * [backup-simplify]: Simplify (* 0 0) into 0
6.672 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.672 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.672 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.672 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.673 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.673 * [backup-simplify]: Simplify (+ 0 0) into 0
6.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
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) re) in re
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
6.673 * [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
6.674 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.674 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.674 * [backup-simplify]: Simplify (+ 0 0) into 0
6.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.675 * [taylor]: Taking taylor expansion of re in re
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [backup-simplify]: Simplify 1 into 1
6.675 * [backup-simplify]: Simplify (+ im 0) into im
6.675 * [taylor]: Taking taylor expansion of im in im
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [backup-simplify]: Simplify 1 into 1
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [backup-simplify]: Simplify (+ 0 1) into 1
6.675 * [taylor]: Taking taylor expansion of 1 in im
6.675 * [backup-simplify]: Simplify 1 into 1
6.675 * [backup-simplify]: Simplify 1 into 1
6.675 * [backup-simplify]: Simplify 1 into 1
6.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.676 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.676 * [backup-simplify]: Simplify (+ 1 0) into 1
6.677 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.677 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.677 * [taylor]: Taking taylor expansion of 1/2 in im
6.677 * [backup-simplify]: Simplify 1/2 into 1/2
6.677 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.677 * [taylor]: Taking taylor expansion of im in im
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [backup-simplify]: Simplify (/ 1 1) into 1
6.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.678 * [backup-simplify]: Simplify 0 into 0
6.678 * [backup-simplify]: Simplify 0 into 0
6.678 * [backup-simplify]: Simplify 0 into 0
6.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.679 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.679 * [backup-simplify]: Simplify (+ 0 0) into 0
6.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.680 * [backup-simplify]: Simplify (+ 0 0) into 0
6.680 * [taylor]: Taking taylor expansion of 0 in im
6.680 * [backup-simplify]: Simplify 0 into 0
6.680 * [backup-simplify]: Simplify 0 into 0
6.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.681 * [backup-simplify]: Simplify 0 into 0
6.681 * [backup-simplify]: Simplify 0 into 0
6.681 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
6.681 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
6.681 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
6.681 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
6.681 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.681 * [taylor]: Taking taylor expansion of re in im
6.681 * [backup-simplify]: Simplify re into re
6.682 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.682 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.682 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.682 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.682 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.682 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.682 * [taylor]: Taking taylor expansion of re in im
6.682 * [backup-simplify]: Simplify re into re
6.682 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.682 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.682 * [taylor]: Taking taylor expansion of re in im
6.682 * [backup-simplify]: Simplify re into re
6.682 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.682 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 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
6.682 * [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 (* 1 1) into 1
6.683 * [backup-simplify]: Simplify (+ 0 1) into 1
6.683 * [backup-simplify]: Simplify (sqrt 1) into 1
6.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.685 * [backup-simplify]: Simplify (+ 0 0) into 0
6.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.685 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
6.685 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.685 * [taylor]: Taking taylor expansion of re in re
6.685 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify 1 into 1
6.686 * [backup-simplify]: Simplify (/ 1 1) into 1
6.686 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.686 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.686 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.686 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.686 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.686 * [taylor]: Taking taylor expansion of re in re
6.686 * [backup-simplify]: Simplify 0 into 0
6.686 * [backup-simplify]: Simplify 1 into 1
6.686 * [backup-simplify]: Simplify (/ 1 1) into 1
6.686 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.686 * [taylor]: Taking taylor expansion of re in re
6.686 * [backup-simplify]: Simplify 0 into 0
6.686 * [backup-simplify]: Simplify 1 into 1
6.686 * [backup-simplify]: Simplify (/ 1 1) into 1
6.686 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.686 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.686 * [taylor]: Taking taylor expansion of im in re
6.686 * [backup-simplify]: Simplify im into im
6.686 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.687 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.687 * [taylor]: Taking taylor expansion of im in re
6.687 * [backup-simplify]: Simplify im into im
6.687 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.687 * [backup-simplify]: Simplify (* 1 1) into 1
6.687 * [backup-simplify]: Simplify (+ 1 0) into 1
6.687 * [backup-simplify]: Simplify (sqrt 1) into 1
6.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.690 * [backup-simplify]: Simplify (+ 0 0) into 0
6.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.691 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
6.691 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.691 * [taylor]: Taking taylor expansion of re in re
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 1 into 1
6.691 * [backup-simplify]: Simplify (/ 1 1) into 1
6.691 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.692 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.692 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.692 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.692 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.692 * [taylor]: Taking taylor expansion of re in re
6.692 * [backup-simplify]: Simplify 0 into 0
6.692 * [backup-simplify]: Simplify 1 into 1
6.692 * [backup-simplify]: Simplify (/ 1 1) into 1
6.692 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.692 * [taylor]: Taking taylor expansion of re in re
6.692 * [backup-simplify]: Simplify 0 into 0
6.692 * [backup-simplify]: Simplify 1 into 1
6.693 * [backup-simplify]: Simplify (/ 1 1) into 1
6.693 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.693 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.693 * [taylor]: Taking taylor expansion of im in re
6.693 * [backup-simplify]: Simplify im into im
6.693 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.693 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.693 * [taylor]: Taking taylor expansion of im in re
6.693 * [backup-simplify]: Simplify im into im
6.693 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.694 * [backup-simplify]: Simplify (* 1 1) into 1
6.694 * [backup-simplify]: Simplify (+ 1 0) into 1
6.695 * [backup-simplify]: Simplify (sqrt 1) into 1
6.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.697 * [backup-simplify]: Simplify (+ 0 0) into 0
6.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.698 * [backup-simplify]: Simplify (+ 1 1) into 2
6.698 * [taylor]: Taking taylor expansion of 2 in im
6.698 * [backup-simplify]: Simplify 2 into 2
6.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.700 * [backup-simplify]: Simplify (+ 0 0) into 0
6.700 * [taylor]: Taking taylor expansion of 0 in im
6.700 * [backup-simplify]: Simplify 0 into 0
6.700 * [backup-simplify]: Simplify 2 into 2
6.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.703 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.704 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.705 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.705 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.705 * [taylor]: Taking taylor expansion of 1/2 in im
6.706 * [backup-simplify]: Simplify 1/2 into 1/2
6.706 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.706 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.706 * [taylor]: Taking taylor expansion of im in im
6.706 * [backup-simplify]: Simplify 0 into 0
6.706 * [backup-simplify]: Simplify 1 into 1
6.706 * [backup-simplify]: Simplify (* 1 1) into 1
6.706 * [backup-simplify]: Simplify (/ 1 1) into 1
6.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.709 * [backup-simplify]: Simplify 0 into 0
6.709 * [backup-simplify]: Simplify 0 into 0
6.709 * [backup-simplify]: Simplify 0 into 0
6.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.713 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.713 * [backup-simplify]: Simplify (+ 0 0) into 0
6.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.714 * [backup-simplify]: Simplify (+ 0 0) into 0
6.715 * [taylor]: Taking taylor expansion of 0 in im
6.715 * [backup-simplify]: Simplify 0 into 0
6.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.717 * [backup-simplify]: Simplify 0 into 0
6.717 * [backup-simplify]: Simplify 0 into 0
6.718 * [backup-simplify]: Simplify 0 into 0
6.718 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
6.718 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
6.718 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
6.718 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.718 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.719 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.719 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.719 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.719 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.719 * [taylor]: Taking taylor expansion of -1 in im
6.719 * [backup-simplify]: Simplify -1 into -1
6.719 * [taylor]: Taking taylor expansion of re in im
6.719 * [backup-simplify]: Simplify re into re
6.719 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.719 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.719 * [taylor]: Taking taylor expansion of -1 in im
6.719 * [backup-simplify]: Simplify -1 into -1
6.719 * [taylor]: Taking taylor expansion of re in im
6.719 * [backup-simplify]: Simplify re into re
6.719 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.719 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.719 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.719 * [taylor]: Taking taylor expansion of -1 in im
6.719 * [backup-simplify]: Simplify -1 into -1
6.719 * [taylor]: Taking taylor expansion of im in im
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [backup-simplify]: Simplify 1 into 1
6.720 * [backup-simplify]: Simplify (/ -1 1) into -1
6.720 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.720 * [taylor]: Taking taylor expansion of -1 in im
6.720 * [backup-simplify]: Simplify -1 into -1
6.720 * [taylor]: Taking taylor expansion of im in im
6.720 * [backup-simplify]: Simplify 0 into 0
6.720 * [backup-simplify]: Simplify 1 into 1
6.720 * [backup-simplify]: Simplify (/ -1 1) into -1
6.721 * [backup-simplify]: Simplify (* -1 -1) into 1
6.721 * [backup-simplify]: Simplify (+ 0 1) into 1
6.721 * [backup-simplify]: Simplify (sqrt 1) into 1
6.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.724 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.724 * [backup-simplify]: Simplify (+ 0 0) into 0
6.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.725 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.725 * [taylor]: Taking taylor expansion of re in im
6.725 * [backup-simplify]: Simplify re into re
6.725 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.725 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.725 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.726 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.726 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.726 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.726 * [taylor]: Taking taylor expansion of -1 in re
6.726 * [backup-simplify]: Simplify -1 into -1
6.726 * [taylor]: Taking taylor expansion of re in re
6.726 * [backup-simplify]: Simplify 0 into 0
6.726 * [backup-simplify]: Simplify 1 into 1
6.726 * [backup-simplify]: Simplify (/ -1 1) into -1
6.726 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.726 * [taylor]: Taking taylor expansion of -1 in re
6.726 * [backup-simplify]: Simplify -1 into -1
6.726 * [taylor]: Taking taylor expansion of re in re
6.726 * [backup-simplify]: Simplify 0 into 0
6.726 * [backup-simplify]: Simplify 1 into 1
6.727 * [backup-simplify]: Simplify (/ -1 1) into -1
6.727 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.727 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.727 * [taylor]: Taking taylor expansion of -1 in re
6.727 * [backup-simplify]: Simplify -1 into -1
6.727 * [taylor]: Taking taylor expansion of im in re
6.727 * [backup-simplify]: Simplify im into im
6.727 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.727 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.727 * [taylor]: Taking taylor expansion of -1 in re
6.727 * [backup-simplify]: Simplify -1 into -1
6.727 * [taylor]: Taking taylor expansion of im in re
6.727 * [backup-simplify]: Simplify im into im
6.727 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.728 * [backup-simplify]: Simplify (* -1 -1) into 1
6.728 * [backup-simplify]: Simplify (+ 1 0) into 1
6.728 * [backup-simplify]: Simplify (sqrt 1) into 1
6.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.731 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.731 * [backup-simplify]: Simplify (+ 0 0) into 0
6.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.732 * [taylor]: Taking taylor expansion of re in re
6.732 * [backup-simplify]: Simplify 0 into 0
6.732 * [backup-simplify]: Simplify 1 into 1
6.732 * [backup-simplify]: Simplify (/ 1 1) into 1
6.732 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.732 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.733 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.733 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.733 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.733 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.733 * [taylor]: Taking taylor expansion of -1 in re
6.733 * [backup-simplify]: Simplify -1 into -1
6.733 * [taylor]: Taking taylor expansion of re in re
6.733 * [backup-simplify]: Simplify 0 into 0
6.733 * [backup-simplify]: Simplify 1 into 1
6.733 * [backup-simplify]: Simplify (/ -1 1) into -1
6.733 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.733 * [taylor]: Taking taylor expansion of -1 in re
6.733 * [backup-simplify]: Simplify -1 into -1
6.733 * [taylor]: Taking taylor expansion of re in re
6.733 * [backup-simplify]: Simplify 0 into 0
6.733 * [backup-simplify]: Simplify 1 into 1
6.734 * [backup-simplify]: Simplify (/ -1 1) into -1
6.734 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.734 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.734 * [taylor]: Taking taylor expansion of -1 in re
6.734 * [backup-simplify]: Simplify -1 into -1
6.734 * [taylor]: Taking taylor expansion of im in re
6.734 * [backup-simplify]: Simplify im into im
6.734 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.734 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.734 * [taylor]: Taking taylor expansion of -1 in re
6.734 * [backup-simplify]: Simplify -1 into -1
6.734 * [taylor]: Taking taylor expansion of im in re
6.734 * [backup-simplify]: Simplify im into im
6.734 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.735 * [backup-simplify]: Simplify (* -1 -1) into 1
6.735 * [backup-simplify]: Simplify (+ 1 0) into 1
6.736 * [backup-simplify]: Simplify (sqrt 1) into 1
6.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.738 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.738 * [backup-simplify]: Simplify (+ 0 0) into 0
6.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.739 * [taylor]: Taking taylor expansion of re in re
6.739 * [backup-simplify]: Simplify 0 into 0
6.739 * [backup-simplify]: Simplify 1 into 1
6.739 * [backup-simplify]: Simplify (/ 1 1) into 1
6.740 * [backup-simplify]: Simplify (- 1) into -1
6.740 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.740 * [taylor]: Taking taylor expansion of 0 in im
6.740 * [backup-simplify]: Simplify 0 into 0
6.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.742 * [backup-simplify]: Simplify (- 0) into 0
6.742 * [backup-simplify]: Simplify (+ 0 0) into 0
6.742 * [taylor]: Taking taylor expansion of 0 in im
6.742 * [backup-simplify]: Simplify 0 into 0
6.742 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.745 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.745 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.747 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.748 * [backup-simplify]: Simplify (- 0) into 0
6.748 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.748 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.748 * [taylor]: Taking taylor expansion of 1/2 in im
6.748 * [backup-simplify]: Simplify 1/2 into 1/2
6.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.748 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.748 * [taylor]: Taking taylor expansion of im in im
6.748 * [backup-simplify]: Simplify 0 into 0
6.748 * [backup-simplify]: Simplify 1 into 1
6.749 * [backup-simplify]: Simplify (* 1 1) into 1
6.749 * [backup-simplify]: Simplify (/ 1 1) into 1
6.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.751 * [backup-simplify]: Simplify 0 into 0
6.751 * [backup-simplify]: Simplify 0 into 0
6.752 * [backup-simplify]: Simplify 0 into 0
6.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.755 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.755 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.755 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.755 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.756 * [backup-simplify]: Simplify (+ 0 0) into 0
6.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.758 * [backup-simplify]: Simplify (- 0) into 0
6.758 * [backup-simplify]: Simplify (+ 0 0) into 0
6.758 * [taylor]: Taking taylor expansion of 0 in im
6.758 * [backup-simplify]: Simplify 0 into 0
6.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.761 * [backup-simplify]: Simplify 0 into 0
6.761 * [backup-simplify]: Simplify 0 into 0
6.761 * [backup-simplify]: Simplify 0 into 0
6.761 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1)
6.762 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot re im))) 3) into (pow (pow (hypot re im) 1/4) 3)
6.762 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in (re im) around 0
6.762 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in im
6.762 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im
6.762 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im
6.762 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im
6.762 * [taylor]: Taking taylor expansion of 1/4 in im
6.762 * [backup-simplify]: Simplify 1/4 into 1/4
6.762 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
6.762 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.762 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.762 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.762 * [taylor]: Taking taylor expansion of (* re re) in im
6.762 * [taylor]: Taking taylor expansion of re in im
6.762 * [backup-simplify]: Simplify re into re
6.762 * [taylor]: Taking taylor expansion of re in im
6.762 * [backup-simplify]: Simplify re into re
6.762 * [taylor]: Taking taylor expansion of (* im im) in im
6.762 * [taylor]: Taking taylor expansion of im in im
6.762 * [backup-simplify]: Simplify 0 into 0
6.762 * [backup-simplify]: Simplify 1 into 1
6.763 * [taylor]: Taking taylor expansion of im in im
6.763 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify 1 into 1
6.763 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.763 * [backup-simplify]: Simplify (* 0 0) into 0
6.763 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.763 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.763 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.764 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.764 * [backup-simplify]: Simplify (+ 0 0) into 0
6.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.764 * [backup-simplify]: Simplify (log re) into (log re)
6.764 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re))
6.764 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4)
6.764 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re
6.764 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
6.764 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
6.764 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
6.764 * [taylor]: Taking taylor expansion of 1/4 in re
6.764 * [backup-simplify]: Simplify 1/4 into 1/4
6.764 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
6.764 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.764 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.764 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.764 * [taylor]: Taking taylor expansion of (* re re) in re
6.764 * [taylor]: Taking taylor expansion of re in re
6.764 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify 1 into 1
6.764 * [taylor]: Taking taylor expansion of re in re
6.765 * [backup-simplify]: Simplify 0 into 0
6.765 * [backup-simplify]: Simplify 1 into 1
6.765 * [taylor]: Taking taylor expansion of (* im im) in re
6.765 * [taylor]: Taking taylor expansion of im in re
6.765 * [backup-simplify]: Simplify im into im
6.765 * [taylor]: Taking taylor expansion of im in re
6.765 * [backup-simplify]: Simplify im into im
6.765 * [backup-simplify]: Simplify (* 0 0) into 0
6.765 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.765 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.765 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.765 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.766 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.766 * [backup-simplify]: Simplify (+ 0 0) into 0
6.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.766 * [backup-simplify]: Simplify (log im) into (log im)
6.766 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
6.766 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
6.766 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re
6.766 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
6.766 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
6.766 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
6.766 * [taylor]: Taking taylor expansion of 1/4 in re
6.766 * [backup-simplify]: Simplify 1/4 into 1/4
6.766 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
6.766 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.766 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.766 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.766 * [taylor]: Taking taylor expansion of (* re re) in re
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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re
6.766 * [taylor]: Taking taylor expansion of im in re
6.766 * [backup-simplify]: Simplify im into im
6.766 * [taylor]: Taking taylor expansion of im in re
6.766 * [backup-simplify]: Simplify im into im
6.767 * [backup-simplify]: Simplify (* 0 0) into 0
6.767 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.767 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.767 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.767 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.767 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.768 * [backup-simplify]: Simplify (+ 0 0) into 0
6.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.768 * [backup-simplify]: Simplify (log im) into (log im)
6.768 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
6.768 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
6.768 * [backup-simplify]: Simplify (* (pow im 1/4) (pow im 1/4)) into (sqrt im)
6.768 * [backup-simplify]: Simplify (* (pow im 1/4) (sqrt im)) into (pow (pow im 3) 1/4)
6.768 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im
6.768 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
6.768 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im
6.768 * [taylor]: Taking taylor expansion of 1/4 in im
6.768 * [backup-simplify]: Simplify 1/4 into 1/4
6.768 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im
6.768 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.768 * [taylor]: Taking taylor expansion of im in im
6.768 * [backup-simplify]: Simplify 0 into 0
6.768 * [backup-simplify]: Simplify 1 into 1
6.771 * [backup-simplify]: Simplify (* 1 1) into 1
6.771 * [backup-simplify]: Simplify (* 1 1) into 1
6.771 * [backup-simplify]: Simplify (log 1) into 0
6.772 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.772 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im))
6.772 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4)
6.772 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4)
6.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
6.773 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0
6.773 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.773 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (pow im 1/4))) into 0
6.773 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (sqrt im))) into 0
6.773 * [taylor]: Taking taylor expansion of 0 in im
6.773 * [backup-simplify]: Simplify 0 into 0
6.773 * [backup-simplify]: Simplify 0 into 0
6.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.775 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.775 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.776 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
6.776 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.776 * [backup-simplify]: Simplify 0 into 0
6.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.777 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.777 * [backup-simplify]: Simplify (+ 1 0) into 1
6.778 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
6.779 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2)))
6.780 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
6.781 * [backup-simplify]: Simplify (+ (* (pow im 1/4) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow im 1/4)))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.781 * [backup-simplify]: Simplify (+ (* (pow im 1/4) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.781 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
6.781 * [taylor]: Taking taylor expansion of 3/8 in im
6.781 * [backup-simplify]: Simplify 3/8 into 3/8
6.781 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
6.781 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
6.781 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im
6.781 * [taylor]: Taking taylor expansion of 1/4 in im
6.781 * [backup-simplify]: Simplify 1/4 into 1/4
6.781 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
6.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
6.781 * [taylor]: Taking taylor expansion of (pow im 5) in im
6.781 * [taylor]: Taking taylor expansion of im in im
6.781 * [backup-simplify]: Simplify 0 into 0
6.781 * [backup-simplify]: Simplify 1 into 1
6.782 * [backup-simplify]: Simplify (* 1 1) into 1
6.782 * [backup-simplify]: Simplify (* 1 1) into 1
6.782 * [backup-simplify]: Simplify (* 1 1) into 1
6.782 * [backup-simplify]: Simplify (/ 1 1) into 1
6.783 * [backup-simplify]: Simplify (log 1) into 0
6.783 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
6.783 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
6.783 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
6.783 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.783 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.783 * [backup-simplify]: Simplify 0 into 0
6.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.786 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.786 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.787 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
6.788 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.788 * [backup-simplify]: Simplify 0 into 0
6.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.789 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.789 * [backup-simplify]: Simplify (+ 0 0) into 0
6.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.790 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
6.791 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
6.793 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.794 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow im 1/4))))) into 0
6.795 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0
6.795 * [taylor]: Taking taylor expansion of 0 in im
6.795 * [backup-simplify]: Simplify 0 into 0
6.795 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.800 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
6.801 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
6.802 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.802 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
6.802 * [backup-simplify]: Simplify 0 into 0
6.802 * [backup-simplify]: Simplify 0 into 0
6.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.808 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.809 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.810 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
6.811 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.811 * [backup-simplify]: Simplify 0 into 0
6.811 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
6.811 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3)
6.811 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in (re im) around 0
6.811 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in im
6.811 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im
6.811 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im
6.811 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im
6.811 * [taylor]: Taking taylor expansion of 1/4 in im
6.811 * [backup-simplify]: Simplify 1/4 into 1/4
6.811 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
6.811 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.811 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.811 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.811 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.811 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.811 * [taylor]: Taking taylor expansion of re in im
6.811 * [backup-simplify]: Simplify re into re
6.812 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.812 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.812 * [taylor]: Taking taylor expansion of re in im
6.812 * [backup-simplify]: Simplify re into re
6.812 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.812 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.812 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.812 * [taylor]: Taking taylor expansion of im in im
6.812 * [backup-simplify]: Simplify 0 into 0
6.812 * [backup-simplify]: Simplify 1 into 1
6.812 * [backup-simplify]: Simplify (/ 1 1) into 1
6.812 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.812 * [taylor]: Taking taylor expansion of im in im
6.812 * [backup-simplify]: Simplify 0 into 0
6.812 * [backup-simplify]: Simplify 1 into 1
6.812 * [backup-simplify]: Simplify (/ 1 1) into 1
6.812 * [backup-simplify]: Simplify (* 1 1) into 1
6.813 * [backup-simplify]: Simplify (+ 0 1) into 1
6.813 * [backup-simplify]: Simplify (sqrt 1) into 1
6.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.814 * [backup-simplify]: Simplify (+ 0 0) into 0
6.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.815 * [backup-simplify]: Simplify (log 1) into 0
6.815 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
6.815 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
6.815 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
6.816 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re
6.816 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
6.816 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
6.816 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
6.816 * [taylor]: Taking taylor expansion of 1/4 in re
6.816 * [backup-simplify]: Simplify 1/4 into 1/4
6.816 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
6.816 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.816 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.816 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.816 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.816 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.816 * [taylor]: Taking taylor expansion of re in re
6.816 * [backup-simplify]: Simplify 0 into 0
6.816 * [backup-simplify]: Simplify 1 into 1
6.816 * [backup-simplify]: Simplify (/ 1 1) into 1
6.816 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.816 * [taylor]: Taking taylor expansion of re in re
6.816 * [backup-simplify]: Simplify 0 into 0
6.816 * [backup-simplify]: Simplify 1 into 1
6.816 * [backup-simplify]: Simplify (/ 1 1) into 1
6.816 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.816 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.816 * [taylor]: Taking taylor expansion of im in re
6.816 * [backup-simplify]: Simplify im into im
6.817 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.817 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.817 * [taylor]: Taking taylor expansion of im in re
6.817 * [backup-simplify]: Simplify im into im
6.817 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.817 * [backup-simplify]: Simplify (* 1 1) into 1
6.817 * [backup-simplify]: Simplify (+ 1 0) into 1
6.817 * [backup-simplify]: Simplify (sqrt 1) into 1
6.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.819 * [backup-simplify]: Simplify (+ 0 0) into 0
6.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.819 * [backup-simplify]: Simplify (log 1) into 0
6.820 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.820 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
6.820 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.820 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re
6.820 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
6.820 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
6.820 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
6.820 * [taylor]: Taking taylor expansion of 1/4 in re
6.820 * [backup-simplify]: Simplify 1/4 into 1/4
6.820 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
6.820 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.820 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.820 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.820 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.820 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.820 * [taylor]: Taking taylor expansion of re in re
6.820 * [backup-simplify]: Simplify 0 into 0
6.820 * [backup-simplify]: Simplify 1 into 1
6.820 * [backup-simplify]: Simplify (/ 1 1) into 1
6.820 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.820 * [taylor]: Taking taylor expansion of re in re
6.821 * [backup-simplify]: Simplify 0 into 0
6.821 * [backup-simplify]: Simplify 1 into 1
6.821 * [backup-simplify]: Simplify (/ 1 1) into 1
6.821 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.821 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.821 * [taylor]: Taking taylor expansion of im in re
6.821 * [backup-simplify]: Simplify im into im
6.821 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.821 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.821 * [taylor]: Taking taylor expansion of im in re
6.821 * [backup-simplify]: Simplify im into im
6.821 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.821 * [backup-simplify]: Simplify (* 1 1) into 1
6.821 * [backup-simplify]: Simplify (+ 1 0) into 1
6.822 * [backup-simplify]: Simplify (sqrt 1) into 1
6.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.823 * [backup-simplify]: Simplify (+ 0 0) into 0
6.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.824 * [backup-simplify]: Simplify (log 1) into 0
6.824 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.824 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
6.824 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.824 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
6.824 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
6.824 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.824 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.825 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.825 * [taylor]: Taking taylor expansion of 1/4 in im
6.825 * [backup-simplify]: Simplify 1/4 into 1/4
6.825 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.825 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.825 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.825 * [taylor]: Taking taylor expansion of re in im
6.825 * [backup-simplify]: Simplify re into re
6.825 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.825 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.825 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.825 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.825 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.825 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.825 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
6.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.826 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.827 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
6.827 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.827 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
6.828 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
6.828 * [taylor]: Taking taylor expansion of 0 in im
6.828 * [backup-simplify]: Simplify 0 into 0
6.828 * [backup-simplify]: Simplify 0 into 0
6.828 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.828 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.829 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.829 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.829 * [backup-simplify]: Simplify 0 into 0
6.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.831 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.831 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.832 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.833 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
6.833 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.834 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
6.835 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
6.835 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
6.836 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
6.836 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
6.836 * [taylor]: Taking taylor expansion of 3/8 in im
6.836 * [backup-simplify]: Simplify 3/8 into 3/8
6.836 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
6.836 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.836 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.836 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.836 * [taylor]: Taking taylor expansion of 1/4 in im
6.836 * [backup-simplify]: Simplify 1/4 into 1/4
6.836 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.836 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.836 * [taylor]: Taking taylor expansion of re in im
6.836 * [backup-simplify]: Simplify re into re
6.837 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.837 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.837 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.837 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.837 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.837 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.837 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.837 * [taylor]: Taking taylor expansion of im in im
6.837 * [backup-simplify]: Simplify 0 into 0
6.837 * [backup-simplify]: Simplify 1 into 1
6.837 * [backup-simplify]: Simplify (* 1 1) into 1
6.838 * [backup-simplify]: Simplify (/ 1 1) into 1
6.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.840 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.840 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.842 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.843 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.844 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.844 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.847 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.848 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.849 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.850 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
6.851 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
6.851 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
6.852 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
6.852 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify 0 into 0
6.853 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.853 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.855 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.856 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.858 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.858 * [backup-simplify]: Simplify 0 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)))) into 0
6.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.861 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.861 * [backup-simplify]: Simplify (+ 0 0) into 0
6.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.866 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.866 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.867 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
6.869 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.870 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
6.871 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
6.871 * [taylor]: Taking taylor expansion of 0 in im
6.871 * [backup-simplify]: Simplify 0 into 0
6.871 * [backup-simplify]: Simplify 0 into 0
6.872 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4)
6.872 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3)
6.872 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in (re im) around 0
6.872 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in im
6.872 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im
6.872 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im
6.872 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im
6.872 * [taylor]: Taking taylor expansion of 1/4 in im
6.872 * [backup-simplify]: Simplify 1/4 into 1/4
6.872 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
6.872 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.872 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.872 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.872 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.872 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.872 * [taylor]: Taking taylor expansion of -1 in im
6.872 * [backup-simplify]: Simplify -1 into -1
6.872 * [taylor]: Taking taylor expansion of re in im
6.872 * [backup-simplify]: Simplify re into re
6.873 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.873 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.873 * [taylor]: Taking taylor expansion of -1 in im
6.873 * [backup-simplify]: Simplify -1 into -1
6.873 * [taylor]: Taking taylor expansion of re in im
6.873 * [backup-simplify]: Simplify re into re
6.873 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.873 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.873 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.873 * [taylor]: Taking taylor expansion of -1 in im
6.873 * [backup-simplify]: Simplify -1 into -1
6.873 * [taylor]: Taking taylor expansion of im in im
6.873 * [backup-simplify]: Simplify 0 into 0
6.873 * [backup-simplify]: Simplify 1 into 1
6.873 * [backup-simplify]: Simplify (/ -1 1) into -1
6.873 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.873 * [taylor]: Taking taylor expansion of -1 in im
6.873 * [backup-simplify]: Simplify -1 into -1
6.873 * [taylor]: Taking taylor expansion of im in im
6.874 * [backup-simplify]: Simplify 0 into 0
6.874 * [backup-simplify]: Simplify 1 into 1
6.874 * [backup-simplify]: Simplify (/ -1 1) into -1
6.874 * [backup-simplify]: Simplify (* -1 -1) into 1
6.875 * [backup-simplify]: Simplify (+ 0 1) into 1
6.875 * [backup-simplify]: Simplify (sqrt 1) into 1
6.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.877 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.878 * [backup-simplify]: Simplify (+ 0 0) into 0
6.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.879 * [backup-simplify]: Simplify (log 1) into 0
6.879 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
6.879 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
6.879 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
6.879 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re
6.879 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
6.879 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
6.879 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
6.879 * [taylor]: Taking taylor expansion of 1/4 in re
6.879 * [backup-simplify]: Simplify 1/4 into 1/4
6.879 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
6.879 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.880 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.880 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.880 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.880 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.880 * [taylor]: Taking taylor expansion of -1 in re
6.880 * [backup-simplify]: Simplify -1 into -1
6.880 * [taylor]: Taking taylor expansion of re in re
6.880 * [backup-simplify]: Simplify 0 into 0
6.880 * [backup-simplify]: Simplify 1 into 1
6.880 * [backup-simplify]: Simplify (/ -1 1) into -1
6.880 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.880 * [taylor]: Taking taylor expansion of -1 in re
6.880 * [backup-simplify]: Simplify -1 into -1
6.880 * [taylor]: Taking taylor expansion of re in re
6.880 * [backup-simplify]: Simplify 0 into 0
6.880 * [backup-simplify]: Simplify 1 into 1
6.880 * [backup-simplify]: Simplify (/ -1 1) into -1
6.880 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.880 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.880 * [taylor]: Taking taylor expansion of -1 in re
6.880 * [backup-simplify]: Simplify -1 into -1
6.880 * [taylor]: Taking taylor expansion of im in re
6.880 * [backup-simplify]: Simplify im into im
6.880 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.880 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.881 * [taylor]: Taking taylor expansion of -1 in re
6.881 * [backup-simplify]: Simplify -1 into -1
6.881 * [taylor]: Taking taylor expansion of im in re
6.881 * [backup-simplify]: Simplify im into im
6.881 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.881 * [backup-simplify]: Simplify (* -1 -1) into 1
6.881 * [backup-simplify]: Simplify (+ 1 0) into 1
6.881 * [backup-simplify]: Simplify (sqrt 1) into 1
6.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.883 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.883 * [backup-simplify]: Simplify (+ 0 0) into 0
6.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.884 * [backup-simplify]: Simplify (log 1) into 0
6.884 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.884 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
6.884 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.884 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re
6.884 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
6.884 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
6.884 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
6.884 * [taylor]: Taking taylor expansion of 1/4 in re
6.884 * [backup-simplify]: Simplify 1/4 into 1/4
6.884 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
6.884 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.884 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.884 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.884 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.884 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.884 * [taylor]: Taking taylor expansion of -1 in re
6.884 * [backup-simplify]: Simplify -1 into -1
6.884 * [taylor]: Taking taylor expansion of re in re
6.884 * [backup-simplify]: Simplify 0 into 0
6.884 * [backup-simplify]: Simplify 1 into 1
6.886 * [backup-simplify]: Simplify (/ -1 1) into -1
6.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.886 * [taylor]: Taking taylor expansion of -1 in re
6.886 * [backup-simplify]: Simplify -1 into -1
6.886 * [taylor]: Taking taylor expansion of re in re
6.886 * [backup-simplify]: Simplify 0 into 0
6.886 * [backup-simplify]: Simplify 1 into 1
6.887 * [backup-simplify]: Simplify (/ -1 1) into -1
6.887 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.887 * [taylor]: Taking taylor expansion of -1 in re
6.887 * [backup-simplify]: Simplify -1 into -1
6.887 * [taylor]: Taking taylor expansion of im in re
6.887 * [backup-simplify]: Simplify im into im
6.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.887 * [taylor]: Taking taylor expansion of -1 in re
6.887 * [backup-simplify]: Simplify -1 into -1
6.887 * [taylor]: Taking taylor expansion of im in re
6.887 * [backup-simplify]: Simplify im into im
6.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.887 * [backup-simplify]: Simplify (* -1 -1) into 1
6.887 * [backup-simplify]: Simplify (+ 1 0) into 1
6.888 * [backup-simplify]: Simplify (sqrt 1) into 1
6.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.889 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.889 * [backup-simplify]: Simplify (+ 0 0) into 0
6.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.890 * [backup-simplify]: Simplify (log 1) into 0
6.890 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.890 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
6.890 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.890 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
6.891 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
6.891 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.891 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.891 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.891 * [taylor]: Taking taylor expansion of 1/4 in im
6.891 * [backup-simplify]: Simplify 1/4 into 1/4
6.891 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.891 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.891 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.891 * [taylor]: Taking taylor expansion of re in im
6.891 * [backup-simplify]: Simplify re into re
6.891 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.891 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.891 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.891 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.891 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.891 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.891 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
6.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.892 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.893 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
6.893 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.893 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
6.894 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
6.894 * [taylor]: Taking taylor expansion of 0 in im
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.894 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.895 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.895 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.895 * [backup-simplify]: Simplify 0 into 0
6.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.897 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.897 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.897 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.898 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.899 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
6.900 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.900 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
6.901 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
6.901 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
6.902 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
6.902 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
6.902 * [taylor]: Taking taylor expansion of 3/8 in im
6.902 * [backup-simplify]: Simplify 3/8 into 3/8
6.902 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
6.902 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.902 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.902 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.902 * [taylor]: Taking taylor expansion of 1/4 in im
6.902 * [backup-simplify]: Simplify 1/4 into 1/4
6.902 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.902 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.903 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.903 * [taylor]: Taking taylor expansion of re in im
6.903 * [backup-simplify]: Simplify re into re
6.903 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.903 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.903 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.903 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.903 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.903 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.903 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.903 * [taylor]: Taking taylor expansion of im in im
6.903 * [backup-simplify]: Simplify 0 into 0
6.903 * [backup-simplify]: Simplify 1 into 1
6.903 * [backup-simplify]: Simplify (* 1 1) into 1
6.904 * [backup-simplify]: Simplify (/ 1 1) into 1
6.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.906 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.906 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.907 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.908 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.908 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.910 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.910 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.911 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.912 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
6.912 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
6.913 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
6.914 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
6.914 * [backup-simplify]: Simplify 0 into 0
6.914 * [backup-simplify]: Simplify 0 into 0
6.914 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.915 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.918 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.920 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.920 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.922 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.922 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.922 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.922 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.922 * [backup-simplify]: Simplify (+ 0 0) into 0
6.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.925 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.925 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.926 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
6.927 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.928 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
6.928 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
6.928 * [taylor]: Taking taylor expansion of 0 in im
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4)
6.928 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
6.929 * [backup-simplify]: Simplify (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) into (hypot re im)
6.929 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
6.929 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.929 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.929 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.929 * [taylor]: Taking taylor expansion of (* re re) in im
6.929 * [taylor]: Taking taylor expansion of re in im
6.929 * [backup-simplify]: Simplify re into re
6.929 * [taylor]: Taking taylor expansion of re in im
6.929 * [backup-simplify]: Simplify re into re
6.929 * [taylor]: Taking taylor expansion of (* im im) in im
6.929 * [taylor]: Taking taylor expansion of im in im
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify 1 into 1
6.929 * [taylor]: Taking taylor expansion of im in im
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify 1 into 1
6.929 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.930 * [backup-simplify]: Simplify (* 0 0) into 0
6.930 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.930 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.930 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.930 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.930 * [backup-simplify]: Simplify (+ 0 0) into 0
6.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.931 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.931 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.931 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.931 * [taylor]: Taking taylor expansion of (* re re) in re
6.931 * [taylor]: Taking taylor expansion of re in re
6.931 * [backup-simplify]: Simplify 0 into 0
6.931 * [backup-simplify]: Simplify 1 into 1
6.931 * [taylor]: Taking taylor expansion of re in re
6.931 * [backup-simplify]: Simplify 0 into 0
6.931 * [backup-simplify]: Simplify 1 into 1
6.931 * [taylor]: Taking taylor expansion of (* im im) in re
6.931 * [taylor]: Taking taylor expansion of im in re
6.931 * [backup-simplify]: Simplify im into im
6.931 * [taylor]: Taking taylor expansion of im in re
6.931 * [backup-simplify]: Simplify im into im
6.931 * [backup-simplify]: Simplify (* 0 0) into 0
6.931 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.931 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.931 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.932 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.932 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.932 * [backup-simplify]: Simplify (+ 0 0) into 0
6.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.932 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.932 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.932 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.932 * [taylor]: Taking taylor expansion of (* re re) in re
6.932 * [taylor]: Taking taylor expansion of re in re
6.932 * [backup-simplify]: Simplify 0 into 0
6.932 * [backup-simplify]: Simplify 1 into 1
6.932 * [taylor]: Taking taylor expansion of re in re
6.932 * [backup-simplify]: Simplify 0 into 0
6.932 * [backup-simplify]: Simplify 1 into 1
6.932 * [taylor]: Taking taylor expansion of (* im im) in re
6.932 * [taylor]: Taking taylor expansion of im in re
6.932 * [backup-simplify]: Simplify im into im
6.932 * [taylor]: Taking taylor expansion of im in re
6.932 * [backup-simplify]: Simplify im into im
6.933 * [backup-simplify]: Simplify (* 0 0) into 0
6.933 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.933 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.933 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.933 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.933 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.934 * [backup-simplify]: Simplify (+ 0 0) into 0
6.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.934 * [taylor]: Taking taylor expansion of im in im
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [backup-simplify]: Simplify 1 into 1
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [taylor]: Taking taylor expansion of 0 in im
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [backup-simplify]: Simplify 1 into 1
6.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.935 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.935 * [backup-simplify]: Simplify (+ 1 0) into 1
6.935 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.935 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.935 * [taylor]: Taking taylor expansion of 1/2 in im
6.935 * [backup-simplify]: Simplify 1/2 into 1/2
6.935 * [taylor]: Taking taylor expansion of im in im
6.936 * [backup-simplify]: Simplify 0 into 0
6.936 * [backup-simplify]: Simplify 1 into 1
6.936 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.936 * [backup-simplify]: Simplify 0 into 0
6.936 * [backup-simplify]: Simplify 0 into 0
6.936 * [backup-simplify]: Simplify 0 into 0
6.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.937 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.938 * [backup-simplify]: Simplify (+ 0 0) into 0
6.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.938 * [taylor]: Taking taylor expansion of 0 in im
6.938 * [backup-simplify]: Simplify 0 into 0
6.938 * [backup-simplify]: Simplify 0 into 0
6.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.938 * [backup-simplify]: Simplify 0 into 0
6.938 * [backup-simplify]: Simplify 0 into 0
6.939 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.939 * [backup-simplify]: Simplify (* (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) into (hypot (/ 1 re) (/ 1 im))
6.939 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
6.939 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.939 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.939 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.939 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.939 * [taylor]: Taking taylor expansion of re in im
6.939 * [backup-simplify]: Simplify re into re
6.939 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.939 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.939 * [taylor]: Taking taylor expansion of re in im
6.939 * [backup-simplify]: Simplify re into re
6.939 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.939 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.939 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.939 * [taylor]: Taking taylor expansion of im in im
6.939 * [backup-simplify]: Simplify 0 into 0
6.939 * [backup-simplify]: Simplify 1 into 1
6.939 * [backup-simplify]: Simplify (/ 1 1) into 1
6.939 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.940 * [taylor]: Taking taylor expansion of im in im
6.940 * [backup-simplify]: Simplify 0 into 0
6.940 * [backup-simplify]: Simplify 1 into 1
6.940 * [backup-simplify]: Simplify (/ 1 1) into 1
6.940 * [backup-simplify]: Simplify (* 1 1) into 1
6.940 * [backup-simplify]: Simplify (+ 0 1) into 1
6.940 * [backup-simplify]: Simplify (sqrt 1) into 1
6.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.942 * [backup-simplify]: Simplify (+ 0 0) into 0
6.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.942 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.942 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.942 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.942 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.943 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.943 * [taylor]: Taking taylor expansion of re in re
6.943 * [backup-simplify]: Simplify 0 into 0
6.943 * [backup-simplify]: Simplify 1 into 1
6.943 * [backup-simplify]: Simplify (/ 1 1) into 1
6.943 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.943 * [taylor]: Taking taylor expansion of re in re
6.943 * [backup-simplify]: Simplify 0 into 0
6.943 * [backup-simplify]: Simplify 1 into 1
6.943 * [backup-simplify]: Simplify (/ 1 1) into 1
6.943 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.943 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.943 * [taylor]: Taking taylor expansion of im in re
6.943 * [backup-simplify]: Simplify im into im
6.943 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.943 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.943 * [taylor]: Taking taylor expansion of im in re
6.943 * [backup-simplify]: Simplify im into im
6.943 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.944 * [backup-simplify]: Simplify (* 1 1) into 1
6.944 * [backup-simplify]: Simplify (+ 1 0) into 1
6.944 * [backup-simplify]: Simplify (sqrt 1) into 1
6.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.945 * [backup-simplify]: Simplify (+ 0 0) into 0
6.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.946 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.946 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.946 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.946 * [taylor]: Taking taylor expansion of re in re
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify 1 into 1
6.946 * [backup-simplify]: Simplify (/ 1 1) into 1
6.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.946 * [taylor]: Taking taylor expansion of re in re
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify 1 into 1
6.947 * [backup-simplify]: Simplify (/ 1 1) into 1
6.947 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.947 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.947 * [taylor]: Taking taylor expansion of im in re
6.947 * [backup-simplify]: Simplify im into im
6.947 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.947 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.947 * [taylor]: Taking taylor expansion of im in re
6.947 * [backup-simplify]: Simplify im into im
6.947 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.947 * [backup-simplify]: Simplify (* 1 1) into 1
6.948 * [backup-simplify]: Simplify (+ 1 0) into 1
6.948 * [backup-simplify]: Simplify (sqrt 1) into 1
6.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.950 * [backup-simplify]: Simplify (+ 0 0) into 0
6.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.951 * [taylor]: Taking taylor expansion of 1 in im
6.951 * [backup-simplify]: Simplify 1 into 1
6.951 * [taylor]: Taking taylor expansion of 0 in im
6.951 * [backup-simplify]: Simplify 0 into 0
6.951 * [backup-simplify]: Simplify 1 into 1
6.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.954 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.954 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.956 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.956 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.956 * [taylor]: Taking taylor expansion of 1/2 in im
6.956 * [backup-simplify]: Simplify 1/2 into 1/2
6.956 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.956 * [taylor]: Taking taylor expansion of im in im
6.956 * [backup-simplify]: Simplify 0 into 0
6.956 * [backup-simplify]: Simplify 1 into 1
6.956 * [backup-simplify]: Simplify (* 1 1) into 1
6.957 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.958 * [backup-simplify]: Simplify 0 into 0
6.958 * [backup-simplify]: Simplify 0 into 0
6.958 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.961 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.962 * [backup-simplify]: Simplify (+ 0 0) into 0
6.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.962 * [taylor]: Taking taylor expansion of 0 in im
6.962 * [backup-simplify]: Simplify 0 into 0
6.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.965 * [backup-simplify]: Simplify (* (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (hypot (/ -1 re) (/ -1 im))
6.965 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
6.965 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.966 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.966 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.966 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.966 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.966 * [taylor]: Taking taylor expansion of -1 in im
6.966 * [backup-simplify]: Simplify -1 into -1
6.966 * [taylor]: Taking taylor expansion of re in im
6.966 * [backup-simplify]: Simplify re into re
6.966 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.966 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.966 * [taylor]: Taking taylor expansion of -1 in im
6.966 * [backup-simplify]: Simplify -1 into -1
6.966 * [taylor]: Taking taylor expansion of re in im
6.966 * [backup-simplify]: Simplify re into re
6.966 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.966 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.966 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.966 * [taylor]: Taking taylor expansion of -1 in im
6.966 * [backup-simplify]: Simplify -1 into -1
6.966 * [taylor]: Taking taylor expansion of im in im
6.966 * [backup-simplify]: Simplify 0 into 0
6.966 * [backup-simplify]: Simplify 1 into 1
6.967 * [backup-simplify]: Simplify (/ -1 1) into -1
6.967 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.967 * [taylor]: Taking taylor expansion of -1 in im
6.967 * [backup-simplify]: Simplify -1 into -1
6.967 * [taylor]: Taking taylor expansion of im in im
6.967 * [backup-simplify]: Simplify 0 into 0
6.967 * [backup-simplify]: Simplify 1 into 1
6.967 * [backup-simplify]: Simplify (/ -1 1) into -1
6.968 * [backup-simplify]: Simplify (* -1 -1) into 1
6.968 * [backup-simplify]: Simplify (+ 0 1) into 1
6.968 * [backup-simplify]: Simplify (sqrt 1) into 1
6.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.971 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.971 * [backup-simplify]: Simplify (+ 0 0) into 0
6.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.972 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.972 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.972 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.972 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.972 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.972 * [taylor]: Taking taylor expansion of -1 in re
6.972 * [backup-simplify]: Simplify -1 into -1
6.972 * [taylor]: Taking taylor expansion of re in re
6.972 * [backup-simplify]: Simplify 0 into 0
6.972 * [backup-simplify]: Simplify 1 into 1
6.973 * [backup-simplify]: Simplify (/ -1 1) into -1
6.973 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.973 * [taylor]: Taking taylor expansion of -1 in re
6.973 * [backup-simplify]: Simplify -1 into -1
6.973 * [taylor]: Taking taylor expansion of re in re
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify 1 into 1
6.974 * [backup-simplify]: Simplify (/ -1 1) into -1
6.974 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.974 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.974 * [taylor]: Taking taylor expansion of -1 in re
6.974 * [backup-simplify]: Simplify -1 into -1
6.974 * [taylor]: Taking taylor expansion of im in re
6.974 * [backup-simplify]: Simplify im into im
6.974 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.974 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.974 * [taylor]: Taking taylor expansion of -1 in re
6.974 * [backup-simplify]: Simplify -1 into -1
6.974 * [taylor]: Taking taylor expansion of im in re
6.974 * [backup-simplify]: Simplify im into im
6.974 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.975 * [backup-simplify]: Simplify (* -1 -1) into 1
6.975 * [backup-simplify]: Simplify (+ 1 0) into 1
6.975 * [backup-simplify]: Simplify (sqrt 1) into 1
6.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.978 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.978 * [backup-simplify]: Simplify (+ 0 0) into 0
6.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.979 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.979 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.979 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.979 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.979 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.979 * [taylor]: Taking taylor expansion of -1 in re
6.980 * [backup-simplify]: Simplify -1 into -1
6.980 * [taylor]: Taking taylor expansion of re in re
6.980 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify 1 into 1
6.980 * [backup-simplify]: Simplify (/ -1 1) into -1
6.980 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.980 * [taylor]: Taking taylor expansion of -1 in re
6.980 * [backup-simplify]: Simplify -1 into -1
6.980 * [taylor]: Taking taylor expansion of re in re
6.980 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify 1 into 1
6.981 * [backup-simplify]: Simplify (/ -1 1) into -1
6.981 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.981 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.981 * [taylor]: Taking taylor expansion of -1 in re
6.981 * [backup-simplify]: Simplify -1 into -1
6.981 * [taylor]: Taking taylor expansion of im in re
6.981 * [backup-simplify]: Simplify im into im
6.981 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.981 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.981 * [taylor]: Taking taylor expansion of -1 in re
6.981 * [backup-simplify]: Simplify -1 into -1
6.981 * [taylor]: Taking taylor expansion of im in re
6.981 * [backup-simplify]: Simplify im into im
6.981 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.982 * [backup-simplify]: Simplify (* -1 -1) into 1
6.982 * [backup-simplify]: Simplify (+ 1 0) into 1
6.982 * [backup-simplify]: Simplify (sqrt 1) into 1
6.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.985 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.985 * [backup-simplify]: Simplify (+ 0 0) into 0
6.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.986 * [taylor]: Taking taylor expansion of 1 in im
6.986 * [backup-simplify]: Simplify 1 into 1
6.986 * [taylor]: Taking taylor expansion of 0 in im
6.986 * [backup-simplify]: Simplify 0 into 0
6.986 * [backup-simplify]: Simplify 1 into 1
6.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.989 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.989 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.990 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.991 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.991 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.991 * [taylor]: Taking taylor expansion of 1/2 in im
6.991 * [backup-simplify]: Simplify 1/2 into 1/2
6.991 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.991 * [taylor]: Taking taylor expansion of im in im
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify 1 into 1
6.991 * [backup-simplify]: Simplify (* 1 1) into 1
6.992 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.993 * [backup-simplify]: Simplify 0 into 0
6.993 * [backup-simplify]: Simplify 0 into 0
6.993 * [backup-simplify]: Simplify 0 into 0
6.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.997 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.997 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.997 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.997 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.997 * [backup-simplify]: Simplify (+ 0 0) into 0
6.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.998 * [taylor]: Taking taylor expansion of 0 in im
6.998 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.000 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.001 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
7.001 * [backup-simplify]: Simplify (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))
7.001 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0
7.001 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im
7.001 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.001 * [taylor]: Taking taylor expansion of 2.0 in im
7.001 * [backup-simplify]: Simplify 2.0 into 2.0
7.004 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.005 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im
7.005 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
7.005 * [taylor]: Taking taylor expansion of (hypot re im) in im
7.005 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.005 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
7.005 * [taylor]: Taking taylor expansion of (* re re) in im
7.005 * [taylor]: Taking taylor expansion of re in im
7.005 * [backup-simplify]: Simplify re into re
7.005 * [taylor]: Taking taylor expansion of re in im
7.005 * [backup-simplify]: Simplify re into re
7.005 * [taylor]: Taking taylor expansion of (* im im) in im
7.005 * [taylor]: Taking taylor expansion of im in im
7.005 * [backup-simplify]: Simplify 0 into 0
7.005 * [backup-simplify]: Simplify 1 into 1
7.005 * [taylor]: Taking taylor expansion of im in im
7.005 * [backup-simplify]: Simplify 0 into 0
7.005 * [backup-simplify]: Simplify 1 into 1
7.005 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.006 * [backup-simplify]: Simplify (* 0 0) into 0
7.006 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.006 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.006 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.007 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.007 * [backup-simplify]: Simplify (+ 0 0) into 0
7.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.007 * [taylor]: Taking taylor expansion of re in im
7.007 * [backup-simplify]: Simplify re into re
7.007 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
7.008 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
7.008 * [backup-simplify]: Simplify (+ 0 0) into 0
7.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.008 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re
7.008 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.008 * [taylor]: Taking taylor expansion of 2.0 in re
7.008 * [backup-simplify]: Simplify 2.0 into 2.0
7.009 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.009 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
7.009 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
7.009 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.010 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.010 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.010 * [taylor]: Taking taylor expansion of (* re re) in re
7.010 * [taylor]: Taking taylor expansion of re in re
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 1 into 1
7.010 * [taylor]: Taking taylor expansion of re in re
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 1 into 1
7.010 * [taylor]: Taking taylor expansion of (* im im) in re
7.010 * [taylor]: Taking taylor expansion of im in re
7.010 * [backup-simplify]: Simplify im into im
7.010 * [taylor]: Taking taylor expansion of im in re
7.010 * [backup-simplify]: Simplify im into im
7.010 * [backup-simplify]: Simplify (* 0 0) into 0
7.010 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.011 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.011 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.011 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.011 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.012 * [backup-simplify]: Simplify (+ 0 0) into 0
7.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.012 * [taylor]: Taking taylor expansion of re in re
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify 1 into 1
7.012 * [backup-simplify]: Simplify (+ im 0) into im
7.012 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
7.013 * [backup-simplify]: Simplify (+ 0 1) into 1
7.013 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
7.013 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re
7.013 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.013 * [taylor]: Taking taylor expansion of 2.0 in re
7.013 * [backup-simplify]: Simplify 2.0 into 2.0
7.013 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.014 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
7.014 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
7.014 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.014 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.014 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.014 * [taylor]: Taking taylor expansion of (* re re) in re
7.014 * [taylor]: Taking taylor expansion of re in re
7.014 * [backup-simplify]: Simplify 0 into 0
7.014 * [backup-simplify]: Simplify 1 into 1
7.014 * [taylor]: Taking taylor expansion of re in re
7.014 * [backup-simplify]: Simplify 0 into 0
7.014 * [backup-simplify]: Simplify 1 into 1
7.014 * [taylor]: Taking taylor expansion of (* im im) in re
7.015 * [taylor]: Taking taylor expansion of im in re
7.015 * [backup-simplify]: Simplify im into im
7.015 * [taylor]: Taking taylor expansion of im in re
7.015 * [backup-simplify]: Simplify im into im
7.015 * [backup-simplify]: Simplify (* 0 0) into 0
7.015 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.015 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.015 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.016 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.016 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.017 * [backup-simplify]: Simplify (+ 0 0) into 0
7.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.017 * [taylor]: Taking taylor expansion of re in re
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 1 into 1
7.017 * [backup-simplify]: Simplify (+ im 0) into im
7.017 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
7.017 * [backup-simplify]: Simplify (+ 0 1) into 1
7.017 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
7.018 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
7.018 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
7.018 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.018 * [taylor]: Taking taylor expansion of 2.0 in im
7.018 * [backup-simplify]: Simplify 2.0 into 2.0
7.019 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.019 * [taylor]: Taking taylor expansion of (sqrt im) in im
7.019 * [taylor]: Taking taylor expansion of im in im
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 1 into 1
7.020 * [backup-simplify]: Simplify (sqrt 0) into 0
7.021 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.022 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
7.022 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
7.023 * [taylor]: Taking taylor expansion of 1/2 in im
7.023 * [backup-simplify]: Simplify 1/2 into 1/2
7.023 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
7.023 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.023 * [taylor]: Taking taylor expansion of 2.0 in im
7.023 * [backup-simplify]: Simplify 2.0 into 2.0
7.023 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.024 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
7.024 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.024 * [taylor]: Taking taylor expansion of im in im
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [backup-simplify]: Simplify 1 into 1
7.024 * [backup-simplify]: Simplify (/ 1 1) into 1
7.025 * [backup-simplify]: Simplify (sqrt 0) into 0
7.026 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.029 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.029 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.033 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.035 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.037 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.039 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.041 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.041 * [backup-simplify]: Simplify (+ 1 0) into 1
7.042 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.042 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
7.043 * [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))))
7.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.045 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
7.045 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
7.045 * [taylor]: Taking taylor expansion of 1/8 in im
7.045 * [backup-simplify]: Simplify 1/8 into 1/8
7.045 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
7.045 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.045 * [taylor]: Taking taylor expansion of 2.0 in im
7.045 * [backup-simplify]: Simplify 2.0 into 2.0
7.045 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
7.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
7.046 * [taylor]: Taking taylor expansion of (pow im 3) in im
7.046 * [taylor]: Taking taylor expansion of im in im
7.046 * [backup-simplify]: Simplify 0 into 0
7.046 * [backup-simplify]: Simplify 1 into 1
7.046 * [backup-simplify]: Simplify (* 1 1) into 1
7.047 * [backup-simplify]: Simplify (* 1 1) into 1
7.047 * [backup-simplify]: Simplify (/ 1 1) into 1
7.048 * [backup-simplify]: Simplify (sqrt 0) into 0
7.049 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.054 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.058 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
7.060 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.061 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.066 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
7.067 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.072 * [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)))))))
7.073 * [backup-simplify]: Simplify (sqrt (* (+ (* (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))
7.073 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
7.073 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im
7.073 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.073 * [taylor]: Taking taylor expansion of 2.0 in im
7.073 * [backup-simplify]: Simplify 2.0 into 2.0
7.074 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im
7.074 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
7.074 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.074 * [taylor]: Taking taylor expansion of re in im
7.074 * [backup-simplify]: Simplify re into re
7.075 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.075 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
7.075 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.075 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
7.075 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
7.075 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.075 * [taylor]: Taking taylor expansion of re in im
7.075 * [backup-simplify]: Simplify re into re
7.075 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.075 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.075 * [taylor]: Taking taylor expansion of re in im
7.075 * [backup-simplify]: Simplify re into re
7.075 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.075 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
7.075 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.075 * [taylor]: Taking taylor expansion of im in im
7.075 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify 1 into 1
7.076 * [backup-simplify]: Simplify (/ 1 1) into 1
7.076 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.076 * [taylor]: Taking taylor expansion of im in im
7.076 * [backup-simplify]: Simplify 0 into 0
7.076 * [backup-simplify]: Simplify 1 into 1
7.076 * [backup-simplify]: Simplify (/ 1 1) into 1
7.076 * [backup-simplify]: Simplify (* 1 1) into 1
7.077 * [backup-simplify]: Simplify (+ 0 1) into 1
7.077 * [backup-simplify]: Simplify (sqrt 1) into 1
7.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.080 * [backup-simplify]: Simplify (+ 0 0) into 0
7.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.082 * [backup-simplify]: Simplify (+ 0 1) into 1
7.082 * [backup-simplify]: Simplify (sqrt 0) into 0
7.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.083 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
7.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.084 * [taylor]: Taking taylor expansion of 2.0 in re
7.084 * [backup-simplify]: Simplify 2.0 into 2.0
7.084 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
7.085 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
7.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.085 * [taylor]: Taking taylor expansion of re in re
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify (/ 1 1) into 1
7.085 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.085 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.086 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.086 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.086 * [taylor]: Taking taylor expansion of re in re
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 1 into 1
7.086 * [backup-simplify]: Simplify (/ 1 1) into 1
7.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.086 * [taylor]: Taking taylor expansion of re in re
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 1 into 1
7.087 * [backup-simplify]: Simplify (/ 1 1) into 1
7.087 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.087 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.087 * [taylor]: Taking taylor expansion of im in re
7.087 * [backup-simplify]: Simplify im into im
7.087 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.087 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.087 * [taylor]: Taking taylor expansion of im in re
7.087 * [backup-simplify]: Simplify im into im
7.087 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.087 * [backup-simplify]: Simplify (* 1 1) into 1
7.088 * [backup-simplify]: Simplify (+ 1 0) into 1
7.088 * [backup-simplify]: Simplify (sqrt 1) into 1
7.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.091 * [backup-simplify]: Simplify (+ 0 0) into 0
7.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.092 * [backup-simplify]: Simplify (+ 1 1) into 2
7.092 * [backup-simplify]: Simplify (sqrt 0) into 0
7.093 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
7.093 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
7.094 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.094 * [taylor]: Taking taylor expansion of 2.0 in re
7.094 * [backup-simplify]: Simplify 2.0 into 2.0
7.094 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
7.095 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
7.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.095 * [taylor]: Taking taylor expansion of re in re
7.095 * [backup-simplify]: Simplify 0 into 0
7.095 * [backup-simplify]: Simplify 1 into 1
7.095 * [backup-simplify]: Simplify (/ 1 1) into 1
7.095 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.095 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.096 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.096 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.096 * [taylor]: Taking taylor expansion of re in re
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify 1 into 1
7.096 * [backup-simplify]: Simplify (/ 1 1) into 1
7.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.096 * [taylor]: Taking taylor expansion of re in re
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify 1 into 1
7.097 * [backup-simplify]: Simplify (/ 1 1) into 1
7.097 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.097 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.097 * [taylor]: Taking taylor expansion of im in re
7.097 * [backup-simplify]: Simplify im into im
7.097 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.097 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.097 * [taylor]: Taking taylor expansion of im in re
7.097 * [backup-simplify]: Simplify im into im
7.097 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.097 * [backup-simplify]: Simplify (* 1 1) into 1
7.098 * [backup-simplify]: Simplify (+ 1 0) into 1
7.098 * [backup-simplify]: Simplify (sqrt 1) into 1
7.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.101 * [backup-simplify]: Simplify (+ 0 0) into 0
7.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.102 * [backup-simplify]: Simplify (+ 1 1) into 2
7.102 * [backup-simplify]: Simplify (sqrt 0) into 0
7.103 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
7.104 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.104 * [taylor]: Taking taylor expansion of 0 in im
7.104 * [backup-simplify]: Simplify 0 into 0
7.106 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.106 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
7.106 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.106 * [taylor]: Taking taylor expansion of +nan.0 in im
7.106 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.106 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.106 * [taylor]: Taking taylor expansion of 2.0 in im
7.106 * [backup-simplify]: Simplify 2.0 into 2.0
7.107 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.107 * [backup-simplify]: Simplify 0 into 0
7.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.108 * [backup-simplify]: Simplify (+ 0 0) into 0
7.111 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.113 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.115 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
7.115 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
7.115 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.115 * [taylor]: Taking taylor expansion of +nan.0 in im
7.115 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.115 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.115 * [taylor]: Taking taylor expansion of 2.0 in im
7.115 * [backup-simplify]: Simplify 2.0 into 2.0
7.116 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.117 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.119 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.120 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.121 * [backup-simplify]: Simplify 0 into 0
7.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.125 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
7.125 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.127 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.127 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
7.130 * [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))
7.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.133 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
7.133 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
7.133 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
7.133 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.133 * [taylor]: Taking taylor expansion of +nan.0 in im
7.133 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.133 * [taylor]: Taking taylor expansion of 2.0 in im
7.133 * [backup-simplify]: Simplify 2.0 into 2.0
7.133 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.134 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
7.134 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
7.134 * [taylor]: Taking taylor expansion of +nan.0 in im
7.134 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.134 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
7.134 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.134 * [taylor]: Taking taylor expansion of 2.0 in im
7.134 * [backup-simplify]: Simplify 2.0 into 2.0
7.135 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.136 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.136 * [taylor]: Taking taylor expansion of im in im
7.136 * [backup-simplify]: Simplify 0 into 0
7.136 * [backup-simplify]: Simplify 1 into 1
7.136 * [backup-simplify]: Simplify (* 1 1) into 1
7.137 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.140 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.140 * [backup-simplify]: Simplify (- 0) into 0
7.140 * [backup-simplify]: Simplify (+ 0 0) into 0
7.141 * [backup-simplify]: Simplify (- 0) into 0
7.141 * [backup-simplify]: Simplify 0 into 0
7.142 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.143 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.145 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.146 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.146 * [backup-simplify]: Simplify (- 0) into 0
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.150 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
7.151 * [backup-simplify]: Simplify (+ 0 0) into 0
7.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.154 * [backup-simplify]: Simplify (+ 0 0) into 0
7.156 * [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)))
7.157 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.159 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
7.159 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
7.160 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
7.160 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.160 * [taylor]: Taking taylor expansion of +nan.0 in im
7.160 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.160 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.160 * [taylor]: Taking taylor expansion of 2.0 in im
7.160 * [backup-simplify]: Simplify 2.0 into 2.0
7.160 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.161 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
7.161 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
7.161 * [taylor]: Taking taylor expansion of +nan.0 in im
7.161 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.161 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
7.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.161 * [taylor]: Taking taylor expansion of 2.0 in im
7.161 * [backup-simplify]: Simplify 2.0 into 2.0
7.161 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.162 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.162 * [taylor]: Taking taylor expansion of im in im
7.162 * [backup-simplify]: Simplify 0 into 0
7.162 * [backup-simplify]: Simplify 1 into 1
7.163 * [backup-simplify]: Simplify (* 1 1) into 1
7.164 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.166 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.166 * [backup-simplify]: Simplify (- 0) into 0
7.167 * [backup-simplify]: Simplify (+ 0 0) into 0
7.167 * [backup-simplify]: Simplify (- 0) into 0
7.167 * [backup-simplify]: Simplify 0 into 0
7.168 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.173 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.173 * [backup-simplify]: Simplify (- 0) into 0
7.175 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.177 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.179 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.184 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
7.185 * [backup-simplify]: Simplify (sqrt (* (+ (* (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
7.185 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
7.185 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
7.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.185 * [taylor]: Taking taylor expansion of 2.0 in im
7.185 * [backup-simplify]: Simplify 2.0 into 2.0
7.185 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.186 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
7.186 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
7.186 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
7.186 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.186 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
7.186 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
7.186 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.186 * [taylor]: Taking taylor expansion of -1 in im
7.186 * [backup-simplify]: Simplify -1 into -1
7.186 * [taylor]: Taking taylor expansion of re in im
7.186 * [backup-simplify]: Simplify re into re
7.186 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.186 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.186 * [taylor]: Taking taylor expansion of -1 in im
7.186 * [backup-simplify]: Simplify -1 into -1
7.186 * [taylor]: Taking taylor expansion of re in im
7.186 * [backup-simplify]: Simplify re into re
7.186 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.186 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
7.187 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.187 * [taylor]: Taking taylor expansion of -1 in im
7.187 * [backup-simplify]: Simplify -1 into -1
7.187 * [taylor]: Taking taylor expansion of im in im
7.187 * [backup-simplify]: Simplify 0 into 0
7.187 * [backup-simplify]: Simplify 1 into 1
7.187 * [backup-simplify]: Simplify (/ -1 1) into -1
7.187 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.187 * [taylor]: Taking taylor expansion of -1 in im
7.187 * [backup-simplify]: Simplify -1 into -1
7.187 * [taylor]: Taking taylor expansion of im in im
7.187 * [backup-simplify]: Simplify 0 into 0
7.187 * [backup-simplify]: Simplify 1 into 1
7.188 * [backup-simplify]: Simplify (/ -1 1) into -1
7.188 * [backup-simplify]: Simplify (* -1 -1) into 1
7.189 * [backup-simplify]: Simplify (+ 0 1) into 1
7.189 * [backup-simplify]: Simplify (sqrt 1) into 1
7.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.192 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.192 * [backup-simplify]: Simplify (+ 0 0) into 0
7.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.193 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.193 * [taylor]: Taking taylor expansion of re in im
7.193 * [backup-simplify]: Simplify re into re
7.193 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.194 * [backup-simplify]: Simplify (+ 1 0) into 1
7.194 * [backup-simplify]: Simplify (sqrt 0) into 0
7.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.196 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
7.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.196 * [taylor]: Taking taylor expansion of 2.0 in re
7.196 * [backup-simplify]: Simplify 2.0 into 2.0
7.196 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.197 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
7.197 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.197 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.197 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.197 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.197 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.198 * [taylor]: Taking taylor expansion of -1 in re
7.198 * [backup-simplify]: Simplify -1 into -1
7.198 * [taylor]: Taking taylor expansion of re in re
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify 1 into 1
7.198 * [backup-simplify]: Simplify (/ -1 1) into -1
7.198 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.198 * [taylor]: Taking taylor expansion of -1 in re
7.198 * [backup-simplify]: Simplify -1 into -1
7.198 * [taylor]: Taking taylor expansion of re in re
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify 1 into 1
7.199 * [backup-simplify]: Simplify (/ -1 1) into -1
7.199 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.199 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.199 * [taylor]: Taking taylor expansion of -1 in re
7.199 * [backup-simplify]: Simplify -1 into -1
7.199 * [taylor]: Taking taylor expansion of im in re
7.199 * [backup-simplify]: Simplify im into im
7.199 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.199 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.199 * [taylor]: Taking taylor expansion of -1 in re
7.199 * [backup-simplify]: Simplify -1 into -1
7.199 * [taylor]: Taking taylor expansion of im in re
7.199 * [backup-simplify]: Simplify im into im
7.199 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.200 * [backup-simplify]: Simplify (* -1 -1) into 1
7.200 * [backup-simplify]: Simplify (+ 1 0) into 1
7.200 * [backup-simplify]: Simplify (sqrt 1) into 1
7.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.203 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.203 * [backup-simplify]: Simplify (+ 0 0) into 0
7.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.204 * [taylor]: Taking taylor expansion of re in re
7.204 * [backup-simplify]: Simplify 0 into 0
7.204 * [backup-simplify]: Simplify 1 into 1
7.205 * [backup-simplify]: Simplify (/ 1 1) into 1
7.205 * [backup-simplify]: Simplify (- 1) into -1
7.206 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.207 * [backup-simplify]: Simplify (- 0) into 0
7.207 * [backup-simplify]: Simplify (+ 0 0) into 0
7.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.210 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.210 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
7.210 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.212 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.213 * [backup-simplify]: Simplify (- 0) into 0
7.213 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.214 * [backup-simplify]: Simplify (sqrt 0) into 0
7.215 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
7.215 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
7.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.215 * [taylor]: Taking taylor expansion of 2.0 in re
7.215 * [backup-simplify]: Simplify 2.0 into 2.0
7.215 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.216 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
7.216 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.216 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.216 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.216 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.216 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.216 * [taylor]: Taking taylor expansion of -1 in re
7.216 * [backup-simplify]: Simplify -1 into -1
7.216 * [taylor]: Taking taylor expansion of re in re
7.216 * [backup-simplify]: Simplify 0 into 0
7.216 * [backup-simplify]: Simplify 1 into 1
7.217 * [backup-simplify]: Simplify (/ -1 1) into -1
7.217 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.217 * [taylor]: Taking taylor expansion of -1 in re
7.217 * [backup-simplify]: Simplify -1 into -1
7.217 * [taylor]: Taking taylor expansion of re in re
7.217 * [backup-simplify]: Simplify 0 into 0
7.217 * [backup-simplify]: Simplify 1 into 1
7.217 * [backup-simplify]: Simplify (/ -1 1) into -1
7.217 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.217 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.217 * [taylor]: Taking taylor expansion of -1 in re
7.217 * [backup-simplify]: Simplify -1 into -1
7.218 * [taylor]: Taking taylor expansion of im in re
7.218 * [backup-simplify]: Simplify im into im
7.218 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.218 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.218 * [taylor]: Taking taylor expansion of -1 in re
7.218 * [backup-simplify]: Simplify -1 into -1
7.218 * [taylor]: Taking taylor expansion of im in re
7.218 * [backup-simplify]: Simplify im into im
7.218 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.218 * [backup-simplify]: Simplify (* -1 -1) into 1
7.219 * [backup-simplify]: Simplify (+ 1 0) into 1
7.219 * [backup-simplify]: Simplify (sqrt 1) into 1
7.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.221 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.222 * [backup-simplify]: Simplify (+ 0 0) into 0
7.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.223 * [taylor]: Taking taylor expansion of re in re
7.223 * [backup-simplify]: Simplify 0 into 0
7.223 * [backup-simplify]: Simplify 1 into 1
7.223 * [backup-simplify]: Simplify (/ 1 1) into 1
7.223 * [backup-simplify]: Simplify (- 1) into -1
7.224 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.225 * [backup-simplify]: Simplify (- 0) into 0
7.225 * [backup-simplify]: Simplify (+ 0 0) into 0
7.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.228 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.228 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
7.229 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.230 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.232 * [backup-simplify]: Simplify (- 0) into 0
7.232 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.232 * [backup-simplify]: Simplify (sqrt 0) into 0
7.233 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
7.234 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.234 * [taylor]: Taking taylor expansion of 0 in im
7.234 * [backup-simplify]: Simplify 0 into 0
7.235 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
7.235 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
7.235 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
7.235 * [taylor]: Taking taylor expansion of +nan.0 in im
7.235 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.235 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
7.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.235 * [taylor]: Taking taylor expansion of 2.0 in im
7.235 * [backup-simplify]: Simplify 2.0 into 2.0
7.235 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.236 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.236 * [taylor]: Taking taylor expansion of im in im
7.236 * [backup-simplify]: Simplify 0 into 0
7.236 * [backup-simplify]: Simplify 1 into 1
7.237 * [backup-simplify]: Simplify (* 1 1) into 1
7.238 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.240 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.240 * [backup-simplify]: Simplify (- 0) into 0
7.240 * [backup-simplify]: Simplify 0 into 0
7.240 * [backup-simplify]: Simplify 0 into 0
7.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.242 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
7.242 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.242 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.242 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
7.242 * [backup-simplify]: Simplify (+ 0 0) into 0
7.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.244 * [backup-simplify]: Simplify (- 0) into 0
7.244 * [backup-simplify]: Simplify (+ 0 0) into 0
7.245 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
7.245 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.246 * [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))))
7.246 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
7.246 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
7.246 * [taylor]: Taking taylor expansion of +nan.0 in im
7.246 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.246 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
7.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.246 * [taylor]: Taking taylor expansion of 2.0 in im
7.246 * [backup-simplify]: Simplify 2.0 into 2.0
7.247 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.247 * [taylor]: Taking taylor expansion of (pow im 4) in im
7.247 * [taylor]: Taking taylor expansion of im in im
7.247 * [backup-simplify]: Simplify 0 into 0
7.247 * [backup-simplify]: Simplify 1 into 1
7.247 * [backup-simplify]: Simplify (* 1 1) into 1
7.248 * [backup-simplify]: Simplify (* 1 1) into 1
7.248 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.249 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.255 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
7.255 * [backup-simplify]: Simplify (- 0) into 0
7.255 * [backup-simplify]: Simplify 0 into 0
7.256 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.258 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.258 * [backup-simplify]: Simplify (- 0) into 0
7.258 * [backup-simplify]: Simplify 0 into 0
7.258 * [backup-simplify]: Simplify 0 into 0
7.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.260 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
7.260 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
7.260 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
7.260 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
7.260 * [backup-simplify]: Simplify (+ 0 0) into 0
7.261 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
7.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.262 * [backup-simplify]: Simplify (- 0) into 0
7.262 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
7.263 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
7.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.265 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 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))))))
7.265 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
7.265 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
7.265 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
7.265 * [taylor]: Taking taylor expansion of +nan.0 in im
7.265 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.265 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
7.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.265 * [taylor]: Taking taylor expansion of 2.0 in im
7.265 * [backup-simplify]: Simplify 2.0 into 2.0
7.265 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.265 * [taylor]: Taking taylor expansion of (pow im 4) in im
7.265 * [taylor]: Taking taylor expansion of im in im
7.265 * [backup-simplify]: Simplify 0 into 0
7.265 * [backup-simplify]: Simplify 1 into 1
7.266 * [backup-simplify]: Simplify (* 1 1) into 1
7.266 * [backup-simplify]: Simplify (* 1 1) into 1
7.266 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.266 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
7.266 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
7.267 * [taylor]: Taking taylor expansion of +nan.0 in im
7.267 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.267 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
7.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.267 * [taylor]: Taking taylor expansion of 2.0 in im
7.267 * [backup-simplify]: Simplify 2.0 into 2.0
7.267 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.267 * [taylor]: Taking taylor expansion of (pow im 6) in im
7.267 * [taylor]: Taking taylor expansion of im in im
7.267 * [backup-simplify]: Simplify 0 into 0
7.268 * [backup-simplify]: Simplify 1 into 1
7.268 * [backup-simplify]: Simplify (* 1 1) into 1
7.268 * [backup-simplify]: Simplify (* 1 1) into 1
7.269 * [backup-simplify]: Simplify (* 1 1) into 1
7.270 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.283 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
7.283 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.285 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.298 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
7.299 * [backup-simplify]: Simplify (- 0) into 0
7.299 * [backup-simplify]: Simplify (+ 0 0) into 0
7.299 * [backup-simplify]: Simplify (- 0) into 0
7.299 * [backup-simplify]: Simplify 0 into 0
7.299 * [backup-simplify]: Simplify 0 into 0
7.299 * * * [progress]: simplifying candidates
7.302 * [simplify]: Simplifying:
  (expm1 (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))
  (log1p (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))
  (* (exp (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (exp re))
  (log (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))
  (exp (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))
  (* (cbrt (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (cbrt (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)))
  (cbrt (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))
  (* (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))
  (sqrt (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))
  (sqrt (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))
  (+ (pow (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) 3) (pow re 3))
  (+ (* (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (- (* re re) (* (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)))
  (- (* (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (* re re))
  (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)
  (expm1 (pow (sqrt (sqrt (hypot re im))) 3))
  (log1p (pow (sqrt (sqrt (hypot re im))) 3))
  (* (log (sqrt (sqrt (hypot re im)))) 3)
  (* (log (sqrt (sqrt (hypot re im)))) 3)
  (* 1/2 3)
  (* 1 3)
  (* (/ 1/2 2) 3)
  (* (/ 1 2) 3)
  (* (/ (/ 1 2) 2) 3)
  (pow (sqrt (sqrt (hypot re im))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (hypot re im))) (sqrt 3))
  (pow (sqrt (sqrt (hypot re im))) 1)
  (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3)
  (pow (cbrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (log (pow (sqrt (sqrt (hypot re im))) 3))
  (exp (pow (sqrt (sqrt (hypot re im))) 3))
  (* (cbrt (pow (sqrt (sqrt (hypot re im))) 3)) (cbrt (pow (sqrt (sqrt (hypot re im))) 3)))
  (cbrt (pow (sqrt (sqrt (hypot re im))) 3))
  (* (* (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) 3))
  (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3)
  (pow (cbrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (/ 3 2)
  (sqrt (pow (sqrt (sqrt (hypot re im))) 3))
  (sqrt (pow (sqrt (sqrt (hypot re im))) 3))
  (pow (sqrt (sqrt (hypot re im))) (/ 3 2))
  (pow (sqrt (sqrt (hypot re im))) (/ 3 2))
  (expm1 (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))))
  (log1p (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))))
  (+ 3 1)
  (+ 3 1)
  (+ (* (log (sqrt (sqrt (hypot re im)))) 3) (log (sqrt (sqrt (hypot re im)))))
  (+ (* (log (sqrt (sqrt (hypot re im)))) 3) (log (sqrt (sqrt (hypot re im)))))
  (+ (log (pow (sqrt (sqrt (hypot re im))) 3)) (log (sqrt (sqrt (hypot re im)))))
  (log (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))))
  (exp (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))))
  (* (* (* (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) 3)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
  (* (cbrt (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (cbrt (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))))
  (cbrt (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))))
  (* (* (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))))
  (sqrt (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))))
  (sqrt (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt 1)))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt 1))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) 1)
  (* (pow (cbrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (cbrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (hypot re im))))
  (* (pow (cbrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))
  (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (hypot re im))))
  (expm1 (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0)))
  (log1p (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0)))
  (log (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0)))
  (exp (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0)))
  (* (cbrt (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0))) (cbrt (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0))))
  (cbrt (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0)))
  (* (* (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0)) (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0))) (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0)))
  (sqrt (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))
  (sqrt 2.0)
  (sqrt (* (+ (pow (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) 3) (pow re 3)) 2.0))
  (sqrt (+ (* (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (- (* re re) (* (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))))
  (sqrt (* (- (* (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (* re re)) 2.0))
  (sqrt (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0)))
  (sqrt (sqrt (* (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) 2.0)))
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
  (pow (pow re 3) 1/4)
  (pow (* -1 (pow re 3)) 1/4)
  im
  re
  (* -1 re)
  (- (+ (* +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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
7.304 * * [simplify]: Extracting # 0 : cost  0
7.304 * * [simplify]: Extracting # 1 : cost  0
7.304 * * [simplify]: Extracting # 2 : cost  0
7.305 * * [simplify]: Extracting # 3 : cost  0
7.305 * * [simplify]: Extracting # 4 : cost  0
7.305 * * [simplify]: Extracting # 5 : cost  0
7.305 * * [simplify]: Extracting # 6 : cost  0
7.305 * * [simplify]: Extracting # 7 : cost  0
7.306 * * [simplify]: Extracting # 8 : cost  0
7.306 * * [simplify]: Extracting # 9 : cost  0
7.306 * * [simplify]: Extracting # 10 : cost  0
7.306 * * [simplify]: iteration  0 :  177  enodes  (cost  2729 )
7.376 * * [simplify]: Extracting # 0 : cost  0
7.377 * * [simplify]: Extracting # 1 : cost  0
7.378 * * [simplify]: Extracting # 2 : cost  0
7.378 * * [simplify]: Extracting # 3 : cost  0
7.378 * * [simplify]: Extracting # 4 : cost  0
7.379 * * [simplify]: iteration  1 :  484  enodes  (cost  1862 )
7.686 * * [simplify]: Extracting # 0 : cost  0
7.688 * * [simplify]: Extracting # 1 : cost  0
7.690 * * [simplify]: Extracting # 2 : cost  0
7.692 * * [simplify]: Extracting # 3 : cost  0
7.694 * * [simplify]: Extracting # 4 : cost  0
7.697 * * [simplify]: Extracting # 5 : cost  0
7.699 * * [simplify]: iteration  2 :  2159  enodes  (cost  1702 )
9.075 * * [simplify]: Extracting # 0 : cost  0
9.088 * * [simplify]: Extracting # 1 : cost  0
9.093 * * [simplify]: Extracting # 2 : cost  0
9.098 * * [simplify]: Extracting # 3 : cost  0
9.103 * * [simplify]: Extracting # 4 : cost  0
9.109 * * [simplify]: iteration done:  5002  enodes  (cost  1357 )
9.109 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ re (hypot re im)))
  (log (+ (hypot re im) re))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma re (- re (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 8))
  (- (pow (sqrt (sqrt (hypot re im))) 8) (* re re))
  (- (hypot re im) re)
  (expm1 (pow (sqrt (sqrt (hypot re im))) 3))
  (log1p (pow (sqrt (sqrt (hypot re im))) 3))
  (* (log (sqrt (sqrt (hypot re im)))) 3)
  (* (log (sqrt (sqrt (hypot re im)))) 3)
  3/2
  3
  3/4
  3/2
  3/4
  (pow (sqrt (sqrt (hypot re im))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (hypot re im))) (sqrt 3))
  (sqrt (sqrt (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (sqrt (hypot re im)))
  (pow (fabs (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (fabs (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (* (log (sqrt (sqrt (hypot re im)))) 3)
  (exp (pow (sqrt (sqrt (hypot re im))) 3))
  (sqrt (hypot re im))
  (sqrt (sqrt (hypot re im)))
  (pow (pow (sqrt (sqrt (hypot re im))) 3) 3)
  (sqrt (hypot re im))
  (sqrt (sqrt (hypot re im)))
  (pow (fabs (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (fabs (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  3/2
  (sqrt (pow (sqrt (sqrt (hypot re im))) 3))
  (sqrt (pow (sqrt (sqrt (hypot re im))) 3))
  (pow (sqrt (sqrt (hypot re im))) 3/2)
  (pow (sqrt (sqrt (hypot re im))) 3/2)
  (expm1 (hypot re im))
  (log1p (hypot re im))
  4
  4
  (log (hypot re im))
  (log (hypot re im))
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (pow (hypot re im) 3)
  (* (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))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (cbrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (fabs (cbrt (sqrt (hypot re im)))))
  (* (sqrt (fabs (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (* (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
  (hypot re im)
  (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
  (hypot re im)
  (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (* (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
  (hypot re im)
  (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
  (hypot re im)
  (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
  (hypot re im)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (hypot re im))))
  (hypot re im)
  (pow (sqrt (sqrt (hypot re im))) 5/2)
  (expm1 (sqrt (* (+ (hypot re im) re) 2.0)))
  (log1p (sqrt (* (+ (hypot re im) re) 2.0)))
  (log (sqrt (* (+ (hypot re im) re) 2.0)))
  (exp (sqrt (* (+ (hypot re im) re) 2.0)))
  (* (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0))))
  (cbrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (pow (sqrt (* (+ (hypot re im) re) 2.0)) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0))
  (sqrt (fma re (- re (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 8)))
  (sqrt (* (- (pow (sqrt (sqrt (hypot re im))) 8) (* re re)) 2.0))
  (sqrt (- (hypot re im) re))
  1/2
  1/2
  (sqrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (sqrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (+ re im)
  (* 2 re)
  0
  (fma (* 3/8 (* re re)) (pow (/ 1 (pow im 5)) 1/4) (pow im 3/4))
  (pow (pow re 3) 1/4)
  (pow (- (pow re 3)) 1/4)
  im
  re
  (- re)
  (fma (- (* +nan.0 (sqrt 2.0))) (* re re) (* (* +nan.0 (sqrt 2.0)) (- im re)))
  (fma (- +nan.0) (sqrt 2.0) (* +nan.0 (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (pow re 2)))))
  0
9.111 * * * [progress]: adding candidates to table
9.719 * [progress]: [Phase 3 of 3] Extracting.
9.719 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3) (sqrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow re 3) (pow (hypot re im) 3)))) (sqrt (fma re re (- (* (hypot re im) (- re (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (pow (pow (sqrt (sqrt (hypot re im))) (* (cbrt 3) (cbrt 3))) (cbrt 3)) (sqrt (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (pow (sqrt (sqrt (hypot re im))) 8) (* re re)) (- (hypot re im) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* (+ re (hypot re im)) 2.0))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))) re) 2.0))))>)
9.726 * * * [regime-changes]: Trying 2 branch expressions: (im re)
9.726 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3) (sqrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow re 3) (pow (hypot re im) 3)))) (sqrt (fma re re (- (* (hypot re im) (- re (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (pow (pow (sqrt (sqrt (hypot re im))) (* (cbrt 3) (cbrt 3))) (cbrt 3)) (sqrt (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (pow (sqrt (sqrt (hypot re im))) 8) (* re re)) (- (hypot re im) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* (+ re (hypot re im)) 2.0))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))) re) 2.0))))>)
9.856 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3) (sqrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow re 3) (pow (hypot re im) 3)))) (sqrt (fma re re (- (* (hypot re im) (- re (hypot re im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (pow (pow (sqrt (sqrt (hypot re im))) (* (cbrt 3) (cbrt 3))) (cbrt 3)) (sqrt (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (pow (sqrt (sqrt (hypot re im))) 8) (* re re)) (- (hypot re im) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* (+ re (hypot re im)) 2.0))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))) re) 2.0))))>)
10.033 * * * [regime]: Found split indices: #<option (#s(si 7 255))>
10.033 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0)))
10.034 * * [simplify]: Extracting # 0 : cost  0
10.034 * * [simplify]: Extracting # 1 : cost  0
10.034 * * [simplify]: Extracting # 2 : cost  0
10.034 * * [simplify]: Extracting # 3 : cost  0
10.034 * * [simplify]: Extracting # 4 : cost  0
10.034 * * [simplify]: Extracting # 5 : cost  0
10.034 * * [simplify]: Extracting # 6 : cost  0
10.034 * * [simplify]: iteration  0 :  9  enodes  (cost  10 )
10.034 * * [simplify]: Extracting # 0 : cost  0
10.034 * * [simplify]: iteration  1 :  12  enodes  (cost  10 )
10.034 * * [simplify]: Extracting # 0 : cost  0
10.034 * * [simplify]: iteration done:  12  enodes  (cost  10 )
10.035 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0)))
14.666 * [regime-testing]: Baseline error score: 13.567398118176952
14.668 * [regime-testing]: Oracle error score: 13.310633074646267
14.674 * [regime-testing]: End program error score: 13.567398118176952
14.791 * [regime-testing]: Target error score: 33.62110483226941