28.039 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.032 * * * [progress]: [2/2] Setting up program.
0.035 * [progress]: [Phase 2 of 3] Improving.
0.035 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.035 * * [simplify]: Extracting # 0 : cost  0
0.035 * * [simplify]: Extracting # 1 : cost  0
0.035 * * [simplify]: Extracting # 2 : cost  0
0.035 * * [simplify]: Extracting # 3 : cost  0
0.035 * * [simplify]: Extracting # 4 : cost  0
0.035 * * [simplify]: Extracting # 5 : cost  0
0.035 * * [simplify]: Extracting # 6 : cost  0
0.035 * * [simplify]: Extracting # 7 : cost  0
0.035 * * [simplify]: Extracting # 8 : cost  0
0.035 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.038 * * [simplify]: Extracting # 0 : cost  0
0.038 * * [simplify]: Extracting # 1 : cost  0
0.038 * * [simplify]: Extracting # 2 : cost  0
0.038 * * [simplify]: iteration  1 :  24  enodes  (cost  10 )
0.045 * * [simplify]: Extracting # 0 : cost  0
0.045 * * [simplify]: iteration  2 :  30  enodes  (cost  10 )
0.054 * * [simplify]: Extracting # 0 : cost  0
0.055 * * [simplify]: iteration  3 :  32  enodes  (cost  10 )
0.064 * * [simplify]: Extracting # 0 : cost  0
0.064 * * [simplify]: iteration done:  32  enodes  (cost  10 )
0.064 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0)))
0.089 * * [progress]: iteration 1 / 4
0.089 * * * [progress]: picking best candidate
0.099 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))))>
0.099 * * * [progress]: localizing error
0.118 * * * [progress]: generating rewritten candidates
0.118 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
0.130 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.148 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 2)
0.150 * * * [progress]: generating series expansions
0.150 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1)
0.151 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
0.151 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
0.151 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.151 * [taylor]: Taking taylor expansion of re in im
0.151 * [backup-simplify]: Simplify re into re
0.151 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.151 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.151 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.151 * [taylor]: Taking taylor expansion of (* re re) in im
0.151 * [taylor]: Taking taylor expansion of re in im
0.151 * [backup-simplify]: Simplify re into re
0.151 * [taylor]: Taking taylor expansion of re in im
0.151 * [backup-simplify]: Simplify re into re
0.151 * [taylor]: Taking taylor expansion of (* im im) in im
0.151 * [taylor]: Taking taylor expansion of im in im
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [taylor]: Taking taylor expansion of im in im
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.152 * [backup-simplify]: Simplify (* 0 0) into 0
0.152 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.153 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.153 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.153 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.154 * [backup-simplify]: Simplify (+ 0 0) into 0
0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.154 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.154 * [taylor]: Taking taylor expansion of re in re
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.154 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.154 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.154 * [taylor]: Taking taylor expansion of (* re re) in re
0.155 * [taylor]: Taking taylor expansion of re in re
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of re in re
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of (* im im) in re
0.155 * [taylor]: Taking taylor expansion of im in re
0.155 * [backup-simplify]: Simplify im into im
0.155 * [taylor]: Taking taylor expansion of im in re
0.155 * [backup-simplify]: Simplify im into im
0.155 * [backup-simplify]: Simplify (* 0 0) into 0
0.155 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.156 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.156 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.156 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.156 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.157 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.157 * [taylor]: Taking taylor expansion of re in re
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.157 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.157 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.157 * [taylor]: Taking taylor expansion of (* re re) in re
0.158 * [taylor]: Taking taylor expansion of re in re
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [taylor]: Taking taylor expansion of re in re
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [taylor]: Taking taylor expansion of (* im im) in re
0.158 * [taylor]: Taking taylor expansion of im in re
0.158 * [backup-simplify]: Simplify im into im
0.158 * [taylor]: Taking taylor expansion of im in re
0.158 * [backup-simplify]: Simplify im into im
0.158 * [backup-simplify]: Simplify (* 0 0) into 0
0.158 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.159 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.159 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.159 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.160 * [backup-simplify]: Simplify (+ 0 0) into 0
0.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.160 * [backup-simplify]: Simplify (+ 0 im) into im
0.160 * [taylor]: Taking taylor expansion of im in im
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify (+ 1 0) into 1
0.161 * [taylor]: Taking taylor expansion of 1 in im
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.162 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.163 * [backup-simplify]: Simplify (+ 1 0) into 1
0.164 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.164 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.164 * [taylor]: Taking taylor expansion of 1/2 in im
0.164 * [backup-simplify]: Simplify 1/2 into 1/2
0.164 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.164 * [taylor]: Taking taylor expansion of im in im
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (/ 1 1) into 1
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.166 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [taylor]: Taking taylor expansion of 0 in im
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.168 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.168 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.168 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.168 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.168 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.169 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.169 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.169 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.169 * [taylor]: Taking taylor expansion of re in im
0.169 * [backup-simplify]: Simplify re into re
0.169 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.169 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.169 * [taylor]: Taking taylor expansion of re in im
0.169 * [backup-simplify]: Simplify re into re
0.169 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.169 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.169 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.169 * [taylor]: Taking taylor expansion of im in im
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.169 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.169 * [taylor]: Taking taylor expansion of im in im
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.170 * [backup-simplify]: Simplify (* 1 1) into 1
0.170 * [backup-simplify]: Simplify (+ 0 1) into 1
0.170 * [backup-simplify]: Simplify (sqrt 1) into 1
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.172 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.172 * [taylor]: Taking taylor expansion of re in im
0.172 * [backup-simplify]: Simplify re into re
0.172 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
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
0.173 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.173 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.173 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.173 * [taylor]: Taking taylor expansion of re in re
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (/ 1 1) into 1
0.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.173 * [taylor]: Taking taylor expansion of re in re
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (/ 1 1) into 1
0.173 * [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 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 im in re
0.173 * [backup-simplify]: Simplify im into im
0.173 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.174 * [backup-simplify]: Simplify (* 1 1) into 1
0.174 * [backup-simplify]: Simplify (+ 1 0) into 1
0.174 * [backup-simplify]: Simplify (sqrt 1) into 1
0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.176 * [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
0.177 * [backup-simplify]: Simplify (/ 1 1) into 1
0.177 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.177 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.177 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.177 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.177 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.177 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.177 * [taylor]: Taking taylor expansion of re in re
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (/ 1 1) into 1
0.177 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.177 * [taylor]: Taking taylor expansion of re in re
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (/ 1 1) into 1
0.177 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.177 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.177 * [taylor]: Taking taylor expansion of im in re
0.177 * [backup-simplify]: Simplify im into im
0.178 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.178 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.178 * [taylor]: Taking taylor expansion of im in re
0.178 * [backup-simplify]: Simplify im into im
0.178 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.178 * [backup-simplify]: Simplify (* 1 1) into 1
0.178 * [backup-simplify]: Simplify (+ 1 0) into 1
0.178 * [backup-simplify]: Simplify (sqrt 1) into 1
0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.180 * [taylor]: Taking taylor expansion of re in re
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.181 * [backup-simplify]: Simplify (/ 1 1) into 1
0.181 * [backup-simplify]: Simplify (+ 1 1) into 2
0.181 * [taylor]: Taking taylor expansion of 2 in im
0.181 * [backup-simplify]: Simplify 2 into 2
0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.182 * [taylor]: Taking taylor expansion of 0 in im
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 2 into 2
0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.184 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.184 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.185 * [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 (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.186 * [taylor]: Taking taylor expansion of 1/2 in im
0.186 * [backup-simplify]: Simplify 1/2 into 1/2
0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.186 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.186 * [taylor]: Taking taylor expansion of im in im
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (* 1 1) into 1
0.186 * [backup-simplify]: Simplify (/ 1 1) into 1
0.187 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* 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 (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.189 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.190 * [backup-simplify]: Simplify (+ 0 0) into 0
0.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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
0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.195 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.195 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.195 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.195 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.195 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.195 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.195 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.195 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.195 * [taylor]: Taking taylor expansion of -1 in im
0.195 * [backup-simplify]: Simplify -1 into -1
0.195 * [taylor]: Taking taylor expansion of re in im
0.195 * [backup-simplify]: Simplify re into re
0.196 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.196 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.196 * [taylor]: Taking taylor expansion of -1 in im
0.196 * [backup-simplify]: Simplify -1 into -1
0.196 * [taylor]: Taking taylor expansion of re in im
0.196 * [backup-simplify]: Simplify re into re
0.196 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.196 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.196 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.196 * [taylor]: Taking taylor expansion of -1 in im
0.196 * [backup-simplify]: Simplify -1 into -1
0.196 * [taylor]: Taking taylor expansion of im in im
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (/ -1 1) into -1
0.196 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.197 * [taylor]: Taking taylor expansion of -1 in im
0.197 * [backup-simplify]: Simplify -1 into -1
0.197 * [taylor]: Taking taylor expansion of im in im
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (/ -1 1) into -1
0.198 * [backup-simplify]: Simplify (* -1 -1) into 1
0.198 * [backup-simplify]: Simplify (+ 0 1) into 1
0.198 * [backup-simplify]: Simplify (sqrt 1) into 1
0.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.202 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.202 * [taylor]: Taking taylor expansion of re in im
0.202 * [backup-simplify]: Simplify re into re
0.202 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.202 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.202 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.202 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.202 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.203 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.203 * [taylor]: Taking taylor expansion of -1 in re
0.203 * [backup-simplify]: Simplify -1 into -1
0.203 * [taylor]: Taking taylor expansion of re in re
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.203 * [backup-simplify]: Simplify (/ -1 1) into -1
0.203 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.203 * [taylor]: Taking taylor expansion of -1 in re
0.203 * [backup-simplify]: Simplify -1 into -1
0.203 * [taylor]: Taking taylor expansion of re in re
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (/ -1 1) into -1
0.204 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.204 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.204 * [taylor]: Taking taylor expansion of -1 in re
0.204 * [backup-simplify]: Simplify -1 into -1
0.204 * [taylor]: Taking taylor expansion of im in re
0.204 * [backup-simplify]: Simplify im into im
0.204 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.204 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.204 * [taylor]: Taking taylor expansion of -1 in re
0.204 * [backup-simplify]: Simplify -1 into -1
0.204 * [taylor]: Taking taylor expansion of im in re
0.204 * [backup-simplify]: Simplify im into im
0.204 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.205 * [backup-simplify]: Simplify (* -1 -1) into 1
0.205 * [backup-simplify]: Simplify (+ 1 0) into 1
0.205 * [backup-simplify]: Simplify (sqrt 1) into 1
0.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.209 * [taylor]: Taking taylor expansion of re in re
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.210 * [backup-simplify]: Simplify (/ 1 1) into 1
0.210 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.210 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.210 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.210 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.210 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.210 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.210 * [taylor]: Taking taylor expansion of -1 in re
0.210 * [backup-simplify]: Simplify -1 into -1
0.210 * [taylor]: Taking taylor expansion of re in re
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (/ -1 1) into -1
0.211 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.211 * [taylor]: Taking taylor expansion of -1 in re
0.211 * [backup-simplify]: Simplify -1 into -1
0.211 * [taylor]: Taking taylor expansion of re in re
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (/ -1 1) into -1
0.211 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.212 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.212 * [taylor]: Taking taylor expansion of -1 in re
0.212 * [backup-simplify]: Simplify -1 into -1
0.212 * [taylor]: Taking taylor expansion of im in re
0.212 * [backup-simplify]: Simplify im into im
0.212 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.212 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.212 * [taylor]: Taking taylor expansion of -1 in re
0.212 * [backup-simplify]: Simplify -1 into -1
0.212 * [taylor]: Taking taylor expansion of im in re
0.212 * [backup-simplify]: Simplify im into im
0.212 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.212 * [backup-simplify]: Simplify (* -1 -1) into 1
0.213 * [backup-simplify]: Simplify (+ 1 0) into 1
0.213 * [backup-simplify]: Simplify (sqrt 1) into 1
0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.217 * [taylor]: Taking taylor expansion of re in re
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (/ 1 1) into 1
0.218 * [backup-simplify]: Simplify (- 1) into -1
0.218 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.218 * [taylor]: Taking taylor expansion of 0 in im
0.218 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (- 0) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [taylor]: Taking taylor expansion of 0 in im
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.233 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.233 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.235 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (- 0) into 0
0.236 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.236 * [taylor]: Taking taylor expansion of 1/2 in im
0.237 * [backup-simplify]: Simplify 1/2 into 1/2
0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.237 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.237 * [taylor]: Taking taylor expansion of im in im
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (* 1 1) into 1
0.237 * [backup-simplify]: Simplify (/ 1 1) into 1
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.244 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.244 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.244 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (- 0) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [taylor]: Taking taylor expansion of 0 in im
0.247 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.251 * [backup-simplify]: Simplify (sqrt (* (+ re (hypot re im)) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
0.251 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
0.251 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
0.251 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.251 * [taylor]: Taking taylor expansion of re in im
0.251 * [backup-simplify]: Simplify re into re
0.251 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.251 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.251 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.251 * [taylor]: Taking taylor expansion of (* re re) in im
0.251 * [taylor]: Taking taylor expansion of re in im
0.251 * [backup-simplify]: Simplify re into re
0.251 * [taylor]: Taking taylor expansion of re in im
0.251 * [backup-simplify]: Simplify re into re
0.251 * [taylor]: Taking taylor expansion of (* im im) in im
0.251 * [taylor]: Taking taylor expansion of im in im
0.251 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [taylor]: Taking taylor expansion of im in im
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.252 * [backup-simplify]: Simplify (* 0 0) into 0
0.252 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.252 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.253 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.253 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.254 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.254 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.255 * [taylor]: Taking taylor expansion of 2.0 in im
0.255 * [backup-simplify]: Simplify 2.0 into 2.0
0.255 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.256 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
0.256 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
0.256 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.256 * [taylor]: Taking taylor expansion of re in re
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.256 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.256 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.256 * [taylor]: Taking taylor expansion of (* re re) in re
0.256 * [taylor]: Taking taylor expansion of re in re
0.256 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [taylor]: Taking taylor expansion of re in re
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [taylor]: Taking taylor expansion of (* im im) in re
0.257 * [taylor]: Taking taylor expansion of im in re
0.257 * [backup-simplify]: Simplify im into im
0.257 * [taylor]: Taking taylor expansion of im in re
0.257 * [backup-simplify]: Simplify im into im
0.257 * [backup-simplify]: Simplify (* 0 0) into 0
0.257 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.258 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.258 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.258 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.259 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.259 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.259 * [backup-simplify]: Simplify (+ 0 im) into im
0.259 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.260 * [backup-simplify]: Simplify (+ 1 0) into 1
0.260 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.260 * [taylor]: Taking taylor expansion of 2.0 in re
0.260 * [backup-simplify]: Simplify 2.0 into 2.0
0.261 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.262 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
0.262 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.262 * [taylor]: Taking taylor expansion of re in re
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.262 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.262 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.262 * [taylor]: Taking taylor expansion of (* re re) in re
0.262 * [taylor]: Taking taylor expansion of re in re
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of re in re
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of (* im im) in re
0.262 * [taylor]: Taking taylor expansion of im in re
0.262 * [backup-simplify]: Simplify im into im
0.262 * [taylor]: Taking taylor expansion of im in re
0.262 * [backup-simplify]: Simplify im into im
0.263 * [backup-simplify]: Simplify (* 0 0) into 0
0.263 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.263 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.263 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.264 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.264 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 im) into im
0.264 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.264 * [backup-simplify]: Simplify (+ 1 0) into 1
0.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.265 * [taylor]: Taking taylor expansion of 2.0 in re
0.265 * [backup-simplify]: Simplify 2.0 into 2.0
0.265 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.266 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
0.266 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.266 * [taylor]: Taking taylor expansion of 2.0 in im
0.266 * [backup-simplify]: Simplify 2.0 into 2.0
0.266 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.267 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.267 * [taylor]: Taking taylor expansion of im in im
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 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 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.268 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.269 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.269 * [taylor]: Taking taylor expansion of 1/2 in im
0.269 * [backup-simplify]: Simplify 1/2 into 1/2
0.269 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.269 * [taylor]: Taking taylor expansion of 2.0 in im
0.269 * [backup-simplify]: Simplify 2.0 into 2.0
0.269 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.270 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.270 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.270 * [taylor]: Taking taylor expansion of im in im
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (/ 1 1) into 1
0.270 * [backup-simplify]: Simplify (sqrt 0) into 0
0.271 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.272 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.273 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.275 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.276 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.278 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.279 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.280 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.280 * [backup-simplify]: Simplify (+ 1 0) into 1
0.281 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.281 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.282 * [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))))
0.282 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.282 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.282 * [taylor]: Taking taylor expansion of 1/8 in im
0.282 * [backup-simplify]: Simplify 1/8 into 1/8
0.282 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.282 * [taylor]: Taking taylor expansion of 2.0 in im
0.282 * [backup-simplify]: Simplify 2.0 into 2.0
0.283 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.283 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.283 * [taylor]: Taking taylor expansion of im in im
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [backup-simplify]: Simplify (sqrt 0) into 0
0.286 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.293 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.296 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.298 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.299 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.306 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.312 * [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)))))))
0.312 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
0.312 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
0.312 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
0.312 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.312 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.312 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.312 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.312 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.313 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.313 * [taylor]: Taking taylor expansion of re in im
0.313 * [backup-simplify]: Simplify re into re
0.313 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.313 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.313 * [taylor]: Taking taylor expansion of re in im
0.313 * [backup-simplify]: Simplify re into re
0.313 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.313 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.313 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.313 * [taylor]: Taking taylor expansion of im in im
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (/ 1 1) into 1
0.313 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.314 * [taylor]: Taking taylor expansion of im in im
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.314 * [backup-simplify]: Simplify (* 1 1) into 1
0.315 * [backup-simplify]: Simplify (+ 0 1) into 1
0.315 * [backup-simplify]: Simplify (sqrt 1) into 1
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.319 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.319 * [taylor]: Taking taylor expansion of re in im
0.319 * [backup-simplify]: Simplify re into re
0.319 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.319 * [backup-simplify]: Simplify (+ 1 0) into 1
0.320 * [backup-simplify]: Simplify (sqrt 0) into 0
0.321 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.321 * [taylor]: Taking taylor expansion of 2.0 in im
0.321 * [backup-simplify]: Simplify 2.0 into 2.0
0.322 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.323 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.323 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.323 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.323 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.323 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.323 * [taylor]: Taking taylor expansion of re in re
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.324 * [taylor]: Taking taylor expansion of re in re
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.324 * [taylor]: Taking taylor expansion of im in re
0.324 * [backup-simplify]: Simplify im into im
0.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.324 * [taylor]: Taking taylor expansion of im in re
0.324 * [backup-simplify]: Simplify im into im
0.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.325 * [backup-simplify]: Simplify (* 1 1) into 1
0.325 * [backup-simplify]: Simplify (+ 1 0) into 1
0.326 * [backup-simplify]: Simplify (sqrt 1) into 1
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.329 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.329 * [taylor]: Taking taylor expansion of re in re
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [backup-simplify]: Simplify (+ 1 1) into 2
0.330 * [backup-simplify]: Simplify (sqrt 0) into 0
0.331 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.332 * [taylor]: Taking taylor expansion of 2.0 in re
0.332 * [backup-simplify]: Simplify 2.0 into 2.0
0.332 * [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 (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.332 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.332 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.333 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.333 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.333 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.333 * [taylor]: Taking taylor expansion of re in re
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (/ 1 1) into 1
0.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.333 * [taylor]: Taking taylor expansion of re in re
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (/ 1 1) into 1
0.333 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.333 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.333 * [taylor]: Taking taylor expansion of im in re
0.333 * [backup-simplify]: Simplify im into im
0.333 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.333 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.333 * [taylor]: Taking taylor expansion of im in re
0.333 * [backup-simplify]: Simplify im into im
0.333 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.334 * [backup-simplify]: Simplify (* 1 1) into 1
0.334 * [backup-simplify]: Simplify (+ 1 0) into 1
0.334 * [backup-simplify]: Simplify (sqrt 1) into 1
0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.336 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.336 * [taylor]: Taking taylor expansion of re in re
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (/ 1 1) into 1
0.337 * [backup-simplify]: Simplify (+ 1 1) into 2
0.337 * [backup-simplify]: Simplify (sqrt 0) into 0
0.338 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.338 * [taylor]: Taking taylor expansion of 2.0 in re
0.338 * [backup-simplify]: Simplify 2.0 into 2.0
0.338 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.339 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
0.339 * [taylor]: Taking taylor expansion of 0 in im
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.340 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.340 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.340 * [taylor]: Taking taylor expansion of +nan.0 in im
0.340 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.341 * [taylor]: Taking taylor expansion of 2.0 in im
0.341 * [backup-simplify]: Simplify 2.0 into 2.0
0.341 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.347 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.347 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.347 * [taylor]: Taking taylor expansion of +nan.0 in im
0.347 * [backup-simplify]: Simplify +nan.0 into +nan.0
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 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.349 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.350 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.350 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.353 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.353 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.354 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.356 * [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))
0.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.361 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.362 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.362 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.362 * [taylor]: Taking taylor expansion of +nan.0 in im
0.362 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.362 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.362 * [taylor]: Taking taylor expansion of 2.0 in im
0.362 * [backup-simplify]: Simplify 2.0 into 2.0
0.362 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.363 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.363 * [taylor]: Taking taylor expansion of im in im
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (* 1 1) into 1
0.364 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.364 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.364 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.364 * [taylor]: Taking taylor expansion of +nan.0 in im
0.364 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.364 * [taylor]: Taking taylor expansion of 2.0 in im
0.364 * [backup-simplify]: Simplify 2.0 into 2.0
0.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (- 0) into 0
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.368 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.369 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.370 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.370 * [backup-simplify]: Simplify (- 0) into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.374 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.375 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ 0 0) into 0
0.378 * [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)))
0.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.381 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.381 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.381 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.381 * [taylor]: Taking taylor expansion of +nan.0 in im
0.381 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.381 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.381 * [taylor]: Taking taylor expansion of 2.0 in im
0.381 * [backup-simplify]: Simplify 2.0 into 2.0
0.382 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.383 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.383 * [taylor]: Taking taylor expansion of im in im
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 1 into 1
0.383 * [backup-simplify]: Simplify (* 1 1) into 1
0.384 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.384 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.384 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) 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) in im
0.384 * [taylor]: Taking taylor expansion of 2.0 in im
0.384 * [backup-simplify]: Simplify 2.0 into 2.0
0.385 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.389 * [backup-simplify]: Simplify (+ 0 0) into 0
0.389 * [backup-simplify]: Simplify (- 0) into 0
0.389 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.395 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.396 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.399 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.402 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.403 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.409 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
0.410 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
0.410 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
0.410 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
0.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.410 * [taylor]: Taking taylor expansion of 2.0 in im
0.410 * [backup-simplify]: Simplify 2.0 into 2.0
0.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.411 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
0.411 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.411 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.411 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.411 * [taylor]: Taking taylor expansion of -1 in im
0.412 * [backup-simplify]: Simplify -1 into -1
0.412 * [taylor]: Taking taylor expansion of re in im
0.412 * [backup-simplify]: Simplify re into re
0.412 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.412 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.412 * [taylor]: Taking taylor expansion of -1 in im
0.412 * [backup-simplify]: Simplify -1 into -1
0.412 * [taylor]: Taking taylor expansion of re in im
0.412 * [backup-simplify]: Simplify re into re
0.412 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.412 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.412 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.412 * [taylor]: Taking taylor expansion of -1 in im
0.412 * [backup-simplify]: Simplify -1 into -1
0.412 * [taylor]: Taking taylor expansion of im in im
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (/ -1 1) into -1
0.413 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.413 * [taylor]: Taking taylor expansion of -1 in im
0.413 * [backup-simplify]: Simplify -1 into -1
0.413 * [taylor]: Taking taylor expansion of im in im
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (/ -1 1) into -1
0.414 * [backup-simplify]: Simplify (* -1 -1) into 1
0.414 * [backup-simplify]: Simplify (+ 0 1) into 1
0.414 * [backup-simplify]: Simplify (sqrt 1) into 1
0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.417 * [backup-simplify]: Simplify (+ 0 0) into 0
0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.418 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.418 * [taylor]: Taking taylor expansion of re in im
0.418 * [backup-simplify]: Simplify re into re
0.418 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.419 * [backup-simplify]: Simplify (+ 1 0) into 1
0.419 * [backup-simplify]: Simplify (sqrt 0) into 0
0.421 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.421 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.421 * [taylor]: Taking taylor expansion of 2.0 in re
0.421 * [backup-simplify]: Simplify 2.0 into 2.0
0.421 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.422 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.422 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.422 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.422 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.422 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.422 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.423 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.423 * [taylor]: Taking taylor expansion of -1 in re
0.423 * [backup-simplify]: Simplify -1 into -1
0.423 * [taylor]: Taking taylor expansion of re in re
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 1 into 1
0.423 * [backup-simplify]: Simplify (/ -1 1) into -1
0.423 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.423 * [taylor]: Taking taylor expansion of -1 in re
0.423 * [backup-simplify]: Simplify -1 into -1
0.423 * [taylor]: Taking taylor expansion of re in re
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 1 into 1
0.424 * [backup-simplify]: Simplify (/ -1 1) into -1
0.424 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.424 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.424 * [taylor]: Taking taylor expansion of -1 in re
0.424 * [backup-simplify]: Simplify -1 into -1
0.424 * [taylor]: Taking taylor expansion of im in re
0.424 * [backup-simplify]: Simplify im into im
0.424 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.424 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.424 * [taylor]: Taking taylor expansion of -1 in re
0.424 * [backup-simplify]: Simplify -1 into -1
0.424 * [taylor]: Taking taylor expansion of im in re
0.424 * [backup-simplify]: Simplify im into im
0.424 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.425 * [backup-simplify]: Simplify (* -1 -1) into 1
0.425 * [backup-simplify]: Simplify (+ 1 0) into 1
0.426 * [backup-simplify]: Simplify (sqrt 1) into 1
0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.428 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.429 * [taylor]: Taking taylor expansion of re in re
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.430 * [backup-simplify]: Simplify (/ 1 1) into 1
0.430 * [backup-simplify]: Simplify (- 1) into -1
0.430 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (- 0) into 0
0.432 * [backup-simplify]: Simplify (+ 0 0) into 0
0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.435 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.435 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.437 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (- 0) into 0
0.438 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.439 * [backup-simplify]: Simplify (sqrt 0) into 0
0.440 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.440 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.440 * [taylor]: Taking taylor expansion of 2.0 in re
0.440 * [backup-simplify]: Simplify 2.0 into 2.0
0.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.441 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.441 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.441 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.441 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.441 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.441 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.441 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.441 * [taylor]: Taking taylor expansion of -1 in re
0.441 * [backup-simplify]: Simplify -1 into -1
0.441 * [taylor]: Taking taylor expansion of re in re
0.441 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify (/ -1 1) into -1
0.442 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.442 * [taylor]: Taking taylor expansion of -1 in re
0.442 * [backup-simplify]: Simplify -1 into -1
0.442 * [taylor]: Taking taylor expansion of re in re
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.443 * [backup-simplify]: Simplify (/ -1 1) into -1
0.443 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.443 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.443 * [taylor]: Taking taylor expansion of -1 in re
0.443 * [backup-simplify]: Simplify -1 into -1
0.443 * [taylor]: Taking taylor expansion of im in re
0.443 * [backup-simplify]: Simplify im into im
0.443 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.443 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.443 * [taylor]: Taking taylor expansion of -1 in re
0.443 * [backup-simplify]: Simplify -1 into -1
0.443 * [taylor]: Taking taylor expansion of im in re
0.443 * [backup-simplify]: Simplify im into im
0.443 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.443 * [backup-simplify]: Simplify (* -1 -1) into 1
0.444 * [backup-simplify]: Simplify (+ 1 0) into 1
0.444 * [backup-simplify]: Simplify (sqrt 1) into 1
0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.447 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.447 * [backup-simplify]: Simplify (+ 0 0) into 0
0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.448 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.448 * [taylor]: Taking taylor expansion of re in re
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [backup-simplify]: Simplify (/ 1 1) into 1
0.449 * [backup-simplify]: Simplify (- 1) into -1
0.449 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.450 * [backup-simplify]: Simplify (- 0) into 0
0.451 * [backup-simplify]: Simplify (+ 0 0) into 0
0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.454 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.454 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.454 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.456 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.457 * [backup-simplify]: Simplify (- 0) into 0
0.457 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.458 * [backup-simplify]: Simplify (sqrt 0) into 0
0.459 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.459 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.459 * [taylor]: Taking taylor expansion of 0 in im
0.459 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.461 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.461 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.461 * [taylor]: Taking taylor expansion of +nan.0 in im
0.461 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.461 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.461 * [taylor]: Taking taylor expansion of 2.0 in im
0.461 * [backup-simplify]: Simplify 2.0 into 2.0
0.461 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.462 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.462 * [taylor]: Taking taylor expansion of im in im
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (* 1 1) into 1
0.464 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.467 * [backup-simplify]: Simplify (- 0) into 0
0.467 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.470 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.470 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.471 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.471 * [backup-simplify]: Simplify (+ 0 0) into 0
0.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (- 0) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.476 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.477 * [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))))
0.477 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.477 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.477 * [taylor]: Taking taylor expansion of +nan.0 in im
0.477 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.477 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.477 * [taylor]: Taking taylor expansion of 2.0 in im
0.478 * [backup-simplify]: Simplify 2.0 into 2.0
0.478 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.479 * [taylor]: Taking taylor expansion of (pow im 4) 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
0.480 * [backup-simplify]: Simplify (* 1 1) into 1
0.481 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.494 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.494 * [backup-simplify]: Simplify (- 0) into 0
0.494 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.500 * [backup-simplify]: Simplify (- 0) into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.503 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.504 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.504 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
0.505 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (- 0) into 0
0.508 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.509 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
0.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.518 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.518 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.518 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.518 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.518 * [taylor]: Taking taylor expansion of +nan.0 in im
0.518 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.518 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.518 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.518 * [taylor]: Taking taylor expansion of 2.0 in im
0.518 * [backup-simplify]: Simplify 2.0 into 2.0
0.519 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.520 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.520 * [taylor]: Taking taylor expansion of im in im
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (* 1 1) into 1
0.522 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.522 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.522 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.522 * [taylor]: Taking taylor expansion of +nan.0 in im
0.522 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.522 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.522 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.522 * [taylor]: Taking taylor expansion of 2.0 in im
0.522 * [backup-simplify]: Simplify 2.0 into 2.0
0.523 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.523 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.523 * [taylor]: Taking taylor expansion of im in im
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 1 into 1
0.524 * [backup-simplify]: Simplify (* 1 1) into 1
0.524 * [backup-simplify]: Simplify (* 1 1) into 1
0.525 * [backup-simplify]: Simplify (* 1 1) into 1
0.526 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.527 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.540 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.568 * [backup-simplify]: Simplify (- 0) into 0
0.568 * [backup-simplify]: Simplify (+ 0 0) into 0
0.568 * [backup-simplify]: Simplify (- 0) into 0
0.568 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 2)
0.569 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.569 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.569 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.569 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.569 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.569 * [taylor]: Taking taylor expansion of (* re re) in im
0.569 * [taylor]: Taking taylor expansion of re in im
0.569 * [backup-simplify]: Simplify re into re
0.569 * [taylor]: Taking taylor expansion of re in im
0.569 * [backup-simplify]: Simplify re into re
0.569 * [taylor]: Taking taylor expansion of (* im im) in im
0.569 * [taylor]: Taking taylor expansion of im in im
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 1 into 1
0.569 * [taylor]: Taking taylor expansion of im in im
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.569 * [backup-simplify]: Simplify (* 0 0) into 0
0.570 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.570 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.570 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.570 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.570 * [backup-simplify]: Simplify (+ 0 0) into 0
0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.570 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.571 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.571 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.571 * [taylor]: Taking taylor expansion of (* re re) in re
0.571 * [taylor]: Taking taylor expansion of re in re
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 1 into 1
0.571 * [taylor]: Taking taylor expansion of re in re
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 1 into 1
0.571 * [taylor]: Taking taylor expansion of (* im im) in re
0.571 * [taylor]: Taking taylor expansion of im in re
0.571 * [backup-simplify]: Simplify im into im
0.571 * [taylor]: Taking taylor expansion of im in re
0.571 * [backup-simplify]: Simplify im into im
0.571 * [backup-simplify]: Simplify (* 0 0) into 0
0.571 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.571 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.571 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.572 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.572 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.572 * [backup-simplify]: Simplify (+ 0 0) into 0
0.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.572 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.572 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.572 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.572 * [taylor]: Taking taylor expansion of (* re re) in re
0.572 * [taylor]: Taking taylor expansion of re in re
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [taylor]: Taking taylor expansion of re in re
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [taylor]: Taking taylor expansion of (* im im) in re
0.572 * [taylor]: Taking taylor expansion of im in re
0.572 * [backup-simplify]: Simplify im into im
0.572 * [taylor]: Taking taylor expansion of im in re
0.572 * [backup-simplify]: Simplify im into im
0.573 * [backup-simplify]: Simplify (* 0 0) into 0
0.573 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.573 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.573 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.573 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.574 * [backup-simplify]: Simplify (+ 0 0) into 0
0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.574 * [taylor]: Taking taylor expansion of im in im
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [taylor]: Taking taylor expansion of 0 in im
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.575 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.575 * [backup-simplify]: Simplify (+ 1 0) into 1
0.576 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.576 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.576 * [taylor]: Taking taylor expansion of 1/2 in im
0.576 * [backup-simplify]: Simplify 1/2 into 1/2
0.576 * [taylor]: Taking taylor expansion of im in im
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.578 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.578 * [backup-simplify]: Simplify (+ 0 0) into 0
0.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.578 * [taylor]: Taking taylor expansion of 0 in im
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.579 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.579 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.579 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.579 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.579 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.579 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.579 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.579 * [taylor]: Taking taylor expansion of re in im
0.579 * [backup-simplify]: Simplify re into re
0.579 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.579 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.579 * [taylor]: Taking taylor expansion of re in im
0.579 * [backup-simplify]: Simplify re into re
0.579 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.579 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.579 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.579 * [taylor]: Taking taylor expansion of im in im
0.579 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify 1 into 1
0.580 * [backup-simplify]: Simplify (/ 1 1) into 1
0.580 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.580 * [taylor]: Taking taylor expansion of im in im
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 1 into 1
0.580 * [backup-simplify]: Simplify (/ 1 1) into 1
0.580 * [backup-simplify]: Simplify (* 1 1) into 1
0.580 * [backup-simplify]: Simplify (+ 0 1) into 1
0.581 * [backup-simplify]: Simplify (sqrt 1) into 1
0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.582 * [backup-simplify]: Simplify (+ 0 0) into 0
0.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.583 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.583 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.583 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.583 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.583 * [taylor]: Taking taylor expansion of re in re
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 1 into 1
0.583 * [backup-simplify]: Simplify (/ 1 1) into 1
0.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.583 * [taylor]: Taking taylor expansion of re in re
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 1 into 1
0.583 * [backup-simplify]: Simplify (/ 1 1) into 1
0.583 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.583 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.583 * [taylor]: Taking taylor expansion of im in re
0.583 * [backup-simplify]: Simplify im into im
0.584 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.584 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.584 * [taylor]: Taking taylor expansion of im in re
0.584 * [backup-simplify]: Simplify im into im
0.584 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.584 * [backup-simplify]: Simplify (* 1 1) into 1
0.584 * [backup-simplify]: Simplify (+ 1 0) into 1
0.584 * [backup-simplify]: Simplify (sqrt 1) into 1
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.586 * [backup-simplify]: Simplify (+ 0 0) into 0
0.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.586 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.586 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.586 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.586 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.587 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.587 * [taylor]: Taking taylor expansion of re in re
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify 1 into 1
0.587 * [backup-simplify]: Simplify (/ 1 1) into 1
0.587 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.587 * [taylor]: Taking taylor expansion of re in re
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify 1 into 1
0.587 * [backup-simplify]: Simplify (/ 1 1) into 1
0.587 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.587 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.587 * [taylor]: Taking taylor expansion of im in re
0.587 * [backup-simplify]: Simplify im into im
0.587 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.587 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.587 * [taylor]: Taking taylor expansion of im in re
0.587 * [backup-simplify]: Simplify im into im
0.587 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.588 * [backup-simplify]: Simplify (* 1 1) into 1
0.588 * [backup-simplify]: Simplify (+ 1 0) into 1
0.588 * [backup-simplify]: Simplify (sqrt 1) into 1
0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.590 * [backup-simplify]: Simplify (+ 0 0) into 0
0.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.590 * [taylor]: Taking taylor expansion of 1 in im
0.590 * [backup-simplify]: Simplify 1 into 1
0.590 * [taylor]: Taking taylor expansion of 0 in im
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify 1 into 1
0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.592 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.592 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.593 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.593 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.593 * [taylor]: Taking taylor expansion of 1/2 in im
0.593 * [backup-simplify]: Simplify 1/2 into 1/2
0.593 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.593 * [taylor]: Taking taylor expansion of im in im
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 1 into 1
0.593 * [backup-simplify]: Simplify (* 1 1) into 1
0.594 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.596 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.597 * [backup-simplify]: Simplify (+ 0 0) into 0
0.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.597 * [taylor]: Taking taylor expansion of 0 in im
0.597 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.599 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.599 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.599 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.599 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.599 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.599 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.599 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.599 * [taylor]: Taking taylor expansion of -1 in im
0.599 * [backup-simplify]: Simplify -1 into -1
0.599 * [taylor]: Taking taylor expansion of re in im
0.599 * [backup-simplify]: Simplify re into re
0.599 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.599 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.599 * [taylor]: Taking taylor expansion of -1 in im
0.599 * [backup-simplify]: Simplify -1 into -1
0.599 * [taylor]: Taking taylor expansion of re in im
0.599 * [backup-simplify]: Simplify re into re
0.599 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.599 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.599 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.599 * [taylor]: Taking taylor expansion of -1 in im
0.599 * [backup-simplify]: Simplify -1 into -1
0.599 * [taylor]: Taking taylor expansion of im in im
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify 1 into 1
0.599 * [backup-simplify]: Simplify (/ -1 1) into -1
0.599 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.599 * [taylor]: Taking taylor expansion of -1 in im
0.599 * [backup-simplify]: Simplify -1 into -1
0.599 * [taylor]: Taking taylor expansion of im in im
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify 1 into 1
0.600 * [backup-simplify]: Simplify (/ -1 1) into -1
0.600 * [backup-simplify]: Simplify (* -1 -1) into 1
0.600 * [backup-simplify]: Simplify (+ 0 1) into 1
0.600 * [backup-simplify]: Simplify (sqrt 1) into 1
0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.602 * [backup-simplify]: Simplify (+ 0 0) into 0
0.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.603 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.603 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.603 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.603 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.603 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.603 * [taylor]: Taking taylor expansion of -1 in re
0.603 * [backup-simplify]: Simplify -1 into -1
0.603 * [taylor]: Taking taylor expansion of re in re
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 1 into 1
0.603 * [backup-simplify]: Simplify (/ -1 1) into -1
0.603 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.603 * [taylor]: Taking taylor expansion of -1 in re
0.603 * [backup-simplify]: Simplify -1 into -1
0.603 * [taylor]: Taking taylor expansion of re in re
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 1 into 1
0.603 * [backup-simplify]: Simplify (/ -1 1) into -1
0.604 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.604 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.604 * [taylor]: Taking taylor expansion of -1 in re
0.604 * [backup-simplify]: Simplify -1 into -1
0.604 * [taylor]: Taking taylor expansion of im in re
0.604 * [backup-simplify]: Simplify im into im
0.604 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.604 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.604 * [taylor]: Taking taylor expansion of -1 in re
0.604 * [backup-simplify]: Simplify -1 into -1
0.604 * [taylor]: Taking taylor expansion of im in re
0.604 * [backup-simplify]: Simplify im into im
0.604 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.604 * [backup-simplify]: Simplify (* -1 -1) into 1
0.604 * [backup-simplify]: Simplify (+ 1 0) into 1
0.605 * [backup-simplify]: Simplify (sqrt 1) into 1
0.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.606 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.606 * [backup-simplify]: Simplify (+ 0 0) into 0
0.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.607 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.607 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.607 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.607 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.607 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.607 * [taylor]: Taking taylor expansion of -1 in re
0.607 * [backup-simplify]: Simplify -1 into -1
0.607 * [taylor]: Taking taylor expansion of re in re
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify 1 into 1
0.607 * [backup-simplify]: Simplify (/ -1 1) into -1
0.607 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.607 * [taylor]: Taking taylor expansion of -1 in re
0.607 * [backup-simplify]: Simplify -1 into -1
0.607 * [taylor]: Taking taylor expansion of re in re
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify 1 into 1
0.608 * [backup-simplify]: Simplify (/ -1 1) into -1
0.608 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.608 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.608 * [taylor]: Taking taylor expansion of -1 in re
0.608 * [backup-simplify]: Simplify -1 into -1
0.608 * [taylor]: Taking taylor expansion of im in re
0.608 * [backup-simplify]: Simplify im into im
0.608 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.608 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.608 * [taylor]: Taking taylor expansion of -1 in re
0.608 * [backup-simplify]: Simplify -1 into -1
0.608 * [taylor]: Taking taylor expansion of im in re
0.608 * [backup-simplify]: Simplify im into im
0.608 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.608 * [backup-simplify]: Simplify (* -1 -1) into 1
0.608 * [backup-simplify]: Simplify (+ 1 0) into 1
0.609 * [backup-simplify]: Simplify (sqrt 1) into 1
0.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.610 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.610 * [backup-simplify]: Simplify (+ 0 0) into 0
0.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.611 * [taylor]: Taking taylor expansion of 1 in im
0.611 * [backup-simplify]: Simplify 1 into 1
0.611 * [taylor]: Taking taylor expansion of 0 in im
0.611 * [backup-simplify]: Simplify 0 into 0
0.611 * [backup-simplify]: Simplify 1 into 1
0.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.613 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.613 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.614 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.614 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.614 * [taylor]: Taking taylor expansion of 1/2 in im
0.614 * [backup-simplify]: Simplify 1/2 into 1/2
0.614 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.614 * [taylor]: Taking taylor expansion of im in im
0.614 * [backup-simplify]: Simplify 0 into 0
0.614 * [backup-simplify]: Simplify 1 into 1
0.614 * [backup-simplify]: Simplify (* 1 1) into 1
0.614 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.617 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.617 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.617 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.617 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.618 * [backup-simplify]: Simplify (+ 0 0) into 0
0.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.618 * [taylor]: Taking taylor expansion of 0 in im
0.618 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.620 * * * [progress]: simplifying candidates
0.621 * [simplify]: Simplifying:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (sqrt (* (+ re (hypot re im)) 2.0)))
  (log1p (sqrt (* (+ re (hypot re im)) 2.0)))
  (log (sqrt (* (+ re (hypot re im)) 2.0)))
  (exp (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))))
  (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (* (sqrt (* (+ re (hypot re im)) 2.0)) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0))
  (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))
  (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0))
  (sqrt (- re (hypot re im)))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  im
  re
  (* -1 re)
0.623 * * [simplify]: Extracting # 0 : cost  0
0.623 * * [simplify]: Extracting # 1 : cost  0
0.623 * * [simplify]: Extracting # 2 : cost  0
0.623 * * [simplify]: Extracting # 3 : cost  0
0.624 * * [simplify]: Extracting # 4 : cost  0
0.624 * * [simplify]: Extracting # 5 : cost  0
0.624 * * [simplify]: Extracting # 6 : cost  0
0.624 * * [simplify]: Extracting # 7 : cost  0
0.625 * * [simplify]: Extracting # 8 : cost  0
0.625 * * [simplify]: Extracting # 9 : cost  0
0.625 * * [simplify]: Extracting # 10 : cost  0
0.625 * * [simplify]: iteration  0 :  86  enodes  (cost  414 )
0.652 * * [simplify]: Extracting # 0 : cost  0
0.652 * * [simplify]: Extracting # 1 : cost  0
0.653 * * [simplify]: Extracting # 2 : cost  0
0.653 * * [simplify]: Extracting # 3 : cost  0
0.653 * * [simplify]: Extracting # 4 : cost  0
0.653 * * [simplify]: iteration  1 :  187  enodes  (cost  377 )
0.724 * * [simplify]: Extracting # 0 : cost  0
0.725 * * [simplify]: Extracting # 1 : cost  0
0.726 * * [simplify]: Extracting # 2 : cost  0
0.727 * * [simplify]: Extracting # 3 : cost  0
0.728 * * [simplify]: Extracting # 4 : cost  0
0.729 * * [simplify]: iteration  2 :  459  enodes  (cost  354 )
0.998 * * [simplify]: Extracting # 0 : cost  0
0.999 * * [simplify]: Extracting # 1 : cost  0
1.000 * * [simplify]: Extracting # 2 : cost  0
1.005 * * [simplify]: Extracting # 3 : cost  0
1.007 * * [simplify]: iteration  3 :  1219  enodes  (cost  345 )
2.858 * * [simplify]: Extracting # 0 : cost  0
2.866 * * [simplify]: Extracting # 1 : cost  0
2.872 * * [simplify]: Extracting # 2 : cost  0
2.878 * * [simplify]: Extracting # 3 : cost  0
2.883 * * [simplify]: Extracting # 4 : cost  0
2.889 * * [simplify]: iteration  4 :  3260  enodes  (cost  344 )
5.526 * * [simplify]: Extracting # 0 : cost  0
5.532 * * [simplify]: Extracting # 1 : cost  0
5.536 * * [simplify]: Extracting # 2 : cost  0
5.541 * * [simplify]: Extracting # 3 : cost  0
5.545 * * [simplify]: Extracting # 4 : cost  0
5.552 * * [simplify]: iteration done:  5001  enodes  (cost  344 )
5.552 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (sqrt (* (+ re (hypot re im)) 2.0)))
  (log1p (sqrt (* (+ re (hypot re im)) 2.0)))
  (log (sqrt (* (+ re (hypot re im)) 2.0)))
  (exp (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))))
  (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (pow (sqrt (* (+ re (hypot re im)) 2.0)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0))
  (sqrt (fma re re (* (hypot re im) (- (hypot re im) re))))
  (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0))
  (sqrt (- re (hypot re im)))
  1/2
  1/2
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  (* (* (- +nan.0) (sqrt 2.0)) (fma re re (- re im)))
  (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)))
  0
  im
  re
  (- re)
5.553 * * * [progress]: adding candidates to table
5.735 * * [progress]: iteration 2 / 4
5.735 * * * [progress]: picking best candidate
5.753 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))>
5.753 * * * [progress]: localizing error
5.778 * * * [progress]: generating rewritten candidates
5.778 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
5.791 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2)
5.818 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
5.836 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2)
5.841 * * * [progress]: generating series expansions
5.841 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
5.841 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) into (+ re (hypot re im))
5.841 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
5.841 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
5.841 * [taylor]: Taking taylor expansion of re in im
5.841 * [backup-simplify]: Simplify re into re
5.841 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.842 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.842 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.842 * [taylor]: Taking taylor expansion of (* re re) in im
5.842 * [taylor]: Taking taylor expansion of re in im
5.842 * [backup-simplify]: Simplify re into re
5.842 * [taylor]: Taking taylor expansion of re in im
5.842 * [backup-simplify]: Simplify re into re
5.842 * [taylor]: Taking taylor expansion of (* im im) in im
5.842 * [taylor]: Taking taylor expansion of im in im
5.842 * [backup-simplify]: Simplify 0 into 0
5.842 * [backup-simplify]: Simplify 1 into 1
5.842 * [taylor]: Taking taylor expansion of im in im
5.842 * [backup-simplify]: Simplify 0 into 0
5.842 * [backup-simplify]: Simplify 1 into 1
5.842 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.842 * [backup-simplify]: Simplify (* 0 0) into 0
5.842 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.843 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.843 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.843 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.843 * [backup-simplify]: Simplify (+ 0 0) into 0
5.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.843 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.843 * [taylor]: Taking taylor expansion of re in re
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 1 into 1
5.843 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.844 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.844 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.844 * [taylor]: Taking taylor expansion of (* re re) in re
5.844 * [taylor]: Taking taylor expansion of re in re
5.844 * [backup-simplify]: Simplify 0 into 0
5.844 * [backup-simplify]: Simplify 1 into 1
5.844 * [taylor]: Taking taylor expansion of re in re
5.844 * [backup-simplify]: Simplify 0 into 0
5.844 * [backup-simplify]: Simplify 1 into 1
5.844 * [taylor]: Taking taylor expansion of (* im im) in re
5.844 * [taylor]: Taking taylor expansion of im in re
5.844 * [backup-simplify]: Simplify im into im
5.844 * [taylor]: Taking taylor expansion of im in re
5.844 * [backup-simplify]: Simplify im into im
5.844 * [backup-simplify]: Simplify (* 0 0) into 0
5.844 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.844 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.844 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.845 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.845 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.845 * [backup-simplify]: Simplify (+ 0 0) into 0
5.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.845 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.845 * [taylor]: Taking taylor expansion of re in re
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify 1 into 1
5.845 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.845 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.845 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.845 * [taylor]: Taking taylor expansion of (* re re) in re
5.845 * [taylor]: Taking taylor expansion of re in re
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify 1 into 1
5.845 * [taylor]: Taking taylor expansion of re in re
5.845 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify 1 into 1
5.845 * [taylor]: Taking taylor expansion of (* im im) in re
5.845 * [taylor]: Taking taylor expansion of im in re
5.846 * [backup-simplify]: Simplify im into im
5.846 * [taylor]: Taking taylor expansion of im in re
5.846 * [backup-simplify]: Simplify im into im
5.846 * [backup-simplify]: Simplify (* 0 0) into 0
5.846 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.846 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.846 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.846 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.847 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.847 * [backup-simplify]: Simplify (+ 0 0) into 0
5.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.847 * [backup-simplify]: Simplify (+ 0 im) into im
5.847 * [taylor]: Taking taylor expansion of im in im
5.847 * [backup-simplify]: Simplify 0 into 0
5.847 * [backup-simplify]: Simplify 1 into 1
5.847 * [backup-simplify]: Simplify 0 into 0
5.848 * [backup-simplify]: Simplify (+ 1 0) into 1
5.848 * [taylor]: Taking taylor expansion of 1 in im
5.848 * [backup-simplify]: Simplify 1 into 1
5.848 * [backup-simplify]: Simplify 1 into 1
5.848 * [backup-simplify]: Simplify 1 into 1
5.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.849 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.849 * [backup-simplify]: Simplify (+ 1 0) into 1
5.849 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.849 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
5.850 * [taylor]: Taking taylor expansion of 1/2 in im
5.850 * [backup-simplify]: Simplify 1/2 into 1/2
5.850 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.850 * [taylor]: Taking taylor expansion of im in im
5.850 * [backup-simplify]: Simplify 0 into 0
5.850 * [backup-simplify]: Simplify 1 into 1
5.850 * [backup-simplify]: Simplify (/ 1 1) into 1
5.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.852 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.852 * [backup-simplify]: Simplify (+ 0 0) into 0
5.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.853 * [backup-simplify]: Simplify (+ 0 0) into 0
5.853 * [taylor]: Taking taylor expansion of 0 in im
5.853 * [backup-simplify]: Simplify 0 into 0
5.853 * [backup-simplify]: Simplify 0 into 0
5.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
5.854 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
5.854 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
5.854 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
5.854 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.854 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.854 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.854 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.854 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.854 * [taylor]: Taking taylor expansion of re in im
5.855 * [backup-simplify]: Simplify re into re
5.855 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.855 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.855 * [taylor]: Taking taylor expansion of re in im
5.855 * [backup-simplify]: Simplify re into re
5.855 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.855 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.855 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.855 * [taylor]: Taking taylor expansion of im in im
5.855 * [backup-simplify]: Simplify 0 into 0
5.855 * [backup-simplify]: Simplify 1 into 1
5.855 * [backup-simplify]: Simplify (/ 1 1) into 1
5.855 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.855 * [taylor]: Taking taylor expansion of im in im
5.855 * [backup-simplify]: Simplify 0 into 0
5.855 * [backup-simplify]: Simplify 1 into 1
5.855 * [backup-simplify]: Simplify (/ 1 1) into 1
5.856 * [backup-simplify]: Simplify (* 1 1) into 1
5.856 * [backup-simplify]: Simplify (+ 0 1) into 1
5.856 * [backup-simplify]: Simplify (sqrt 1) into 1
5.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.858 * [backup-simplify]: Simplify (+ 0 0) into 0
5.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.858 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.858 * [taylor]: Taking taylor expansion of re in im
5.858 * [backup-simplify]: Simplify re into re
5.858 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.858 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.858 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.858 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.858 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.858 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.858 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.859 * [taylor]: Taking taylor expansion of re in re
5.859 * [backup-simplify]: Simplify 0 into 0
5.859 * [backup-simplify]: Simplify 1 into 1
5.859 * [backup-simplify]: Simplify (/ 1 1) into 1
5.859 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.859 * [taylor]: Taking taylor expansion of re in re
5.859 * [backup-simplify]: Simplify 0 into 0
5.859 * [backup-simplify]: Simplify 1 into 1
5.859 * [backup-simplify]: Simplify (/ 1 1) into 1
5.859 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.859 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.859 * [taylor]: Taking taylor expansion of im in re
5.859 * [backup-simplify]: Simplify im into im
5.859 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.859 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.859 * [taylor]: Taking taylor expansion of im in re
5.859 * [backup-simplify]: Simplify im into im
5.859 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.860 * [backup-simplify]: Simplify (* 1 1) into 1
5.860 * [backup-simplify]: Simplify (+ 1 0) into 1
5.860 * [backup-simplify]: Simplify (sqrt 1) into 1
5.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.862 * [backup-simplify]: Simplify (+ 0 0) into 0
5.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.862 * [taylor]: Taking taylor expansion of re in re
5.862 * [backup-simplify]: Simplify 0 into 0
5.862 * [backup-simplify]: Simplify 1 into 1
5.862 * [backup-simplify]: Simplify (/ 1 1) into 1
5.862 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.862 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.863 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.863 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.863 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.863 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.863 * [taylor]: Taking taylor expansion of re in re
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 1 into 1
5.863 * [backup-simplify]: Simplify (/ 1 1) into 1
5.863 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.863 * [taylor]: Taking taylor expansion of re in re
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 1 into 1
5.863 * [backup-simplify]: Simplify (/ 1 1) into 1
5.863 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.863 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.863 * [taylor]: Taking taylor expansion of im in re
5.863 * [backup-simplify]: Simplify im into im
5.864 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.864 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.864 * [taylor]: Taking taylor expansion of im in re
5.864 * [backup-simplify]: Simplify im into im
5.864 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.864 * [backup-simplify]: Simplify (* 1 1) into 1
5.865 * [backup-simplify]: Simplify (+ 1 0) into 1
5.865 * [backup-simplify]: Simplify (sqrt 1) into 1
5.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.867 * [backup-simplify]: Simplify (+ 0 0) into 0
5.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.868 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.868 * [taylor]: Taking taylor expansion of re in re
5.868 * [backup-simplify]: Simplify 0 into 0
5.868 * [backup-simplify]: Simplify 1 into 1
5.869 * [backup-simplify]: Simplify (/ 1 1) into 1
5.869 * [backup-simplify]: Simplify (+ 1 1) into 2
5.869 * [taylor]: Taking taylor expansion of 2 in im
5.869 * [backup-simplify]: Simplify 2 into 2
5.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.870 * [backup-simplify]: Simplify (+ 0 0) into 0
5.870 * [taylor]: Taking taylor expansion of 0 in im
5.870 * [backup-simplify]: Simplify 0 into 0
5.870 * [backup-simplify]: Simplify 2 into 2
5.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.872 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.873 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.873 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.874 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.874 * [taylor]: Taking taylor expansion of 1/2 in im
5.874 * [backup-simplify]: Simplify 1/2 into 1/2
5.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.874 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.874 * [taylor]: Taking taylor expansion of im in im
5.874 * [backup-simplify]: Simplify 0 into 0
5.874 * [backup-simplify]: Simplify 1 into 1
5.874 * [backup-simplify]: Simplify (* 1 1) into 1
5.875 * [backup-simplify]: Simplify (/ 1 1) into 1
5.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.876 * [backup-simplify]: Simplify 0 into 0
5.876 * [backup-simplify]: Simplify 0 into 0
5.876 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.878 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.878 * [backup-simplify]: Simplify (+ 0 0) into 0
5.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.880 * [backup-simplify]: Simplify (+ 0 0) into 0
5.880 * [taylor]: Taking taylor expansion of 0 in im
5.880 * [backup-simplify]: Simplify 0 into 0
5.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 0 into 0
5.882 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
5.882 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
5.882 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
5.882 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
5.882 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.882 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.882 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.882 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.882 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.882 * [taylor]: Taking taylor expansion of -1 in im
5.882 * [backup-simplify]: Simplify -1 into -1
5.882 * [taylor]: Taking taylor expansion of re in im
5.882 * [backup-simplify]: Simplify re into re
5.882 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.882 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.882 * [taylor]: Taking taylor expansion of -1 in im
5.882 * [backup-simplify]: Simplify -1 into -1
5.882 * [taylor]: Taking taylor expansion of re in im
5.882 * [backup-simplify]: Simplify re into re
5.882 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.882 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.882 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.882 * [taylor]: Taking taylor expansion of -1 in im
5.882 * [backup-simplify]: Simplify -1 into -1
5.882 * [taylor]: Taking taylor expansion of im in im
5.882 * [backup-simplify]: Simplify 0 into 0
5.882 * [backup-simplify]: Simplify 1 into 1
5.883 * [backup-simplify]: Simplify (/ -1 1) into -1
5.883 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.883 * [taylor]: Taking taylor expansion of -1 in im
5.883 * [backup-simplify]: Simplify -1 into -1
5.883 * [taylor]: Taking taylor expansion of im in im
5.883 * [backup-simplify]: Simplify 0 into 0
5.883 * [backup-simplify]: Simplify 1 into 1
5.883 * [backup-simplify]: Simplify (/ -1 1) into -1
5.883 * [backup-simplify]: Simplify (* -1 -1) into 1
5.884 * [backup-simplify]: Simplify (+ 0 1) into 1
5.884 * [backup-simplify]: Simplify (sqrt 1) into 1
5.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.885 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.886 * [backup-simplify]: Simplify (+ 0 0) into 0
5.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.886 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.886 * [taylor]: Taking taylor expansion of re in im
5.886 * [backup-simplify]: Simplify re into re
5.886 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.886 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.886 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.886 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.886 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.886 * [taylor]: Taking taylor expansion of -1 in re
5.886 * [backup-simplify]: Simplify -1 into -1
5.886 * [taylor]: Taking taylor expansion of re in re
5.886 * [backup-simplify]: Simplify 0 into 0
5.886 * [backup-simplify]: Simplify 1 into 1
5.887 * [backup-simplify]: Simplify (/ -1 1) into -1
5.887 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.887 * [taylor]: Taking taylor expansion of -1 in re
5.887 * [backup-simplify]: Simplify -1 into -1
5.887 * [taylor]: Taking taylor expansion of re in re
5.887 * [backup-simplify]: Simplify 0 into 0
5.887 * [backup-simplify]: Simplify 1 into 1
5.887 * [backup-simplify]: Simplify (/ -1 1) into -1
5.887 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.887 * [taylor]: Taking taylor expansion of -1 in re
5.887 * [backup-simplify]: Simplify -1 into -1
5.887 * [taylor]: Taking taylor expansion of im in re
5.887 * [backup-simplify]: Simplify im into im
5.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.887 * [taylor]: Taking taylor expansion of -1 in re
5.887 * [backup-simplify]: Simplify -1 into -1
5.887 * [taylor]: Taking taylor expansion of im in re
5.887 * [backup-simplify]: Simplify im into im
5.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.888 * [backup-simplify]: Simplify (* -1 -1) into 1
5.888 * [backup-simplify]: Simplify (+ 1 0) into 1
5.888 * [backup-simplify]: Simplify (sqrt 1) into 1
5.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.890 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.890 * [backup-simplify]: Simplify (+ 0 0) into 0
5.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.890 * [taylor]: Taking taylor expansion of re in re
5.890 * [backup-simplify]: Simplify 0 into 0
5.890 * [backup-simplify]: Simplify 1 into 1
5.891 * [backup-simplify]: Simplify (/ 1 1) into 1
5.891 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.891 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.891 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.891 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.891 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.891 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.891 * [taylor]: Taking taylor expansion of -1 in re
5.891 * [backup-simplify]: Simplify -1 into -1
5.891 * [taylor]: Taking taylor expansion of re in re
5.891 * [backup-simplify]: Simplify 0 into 0
5.891 * [backup-simplify]: Simplify 1 into 1
5.891 * [backup-simplify]: Simplify (/ -1 1) into -1
5.891 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.891 * [taylor]: Taking taylor expansion of -1 in re
5.891 * [backup-simplify]: Simplify -1 into -1
5.891 * [taylor]: Taking taylor expansion of re in re
5.891 * [backup-simplify]: Simplify 0 into 0
5.891 * [backup-simplify]: Simplify 1 into 1
5.892 * [backup-simplify]: Simplify (/ -1 1) into -1
5.892 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.892 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.892 * [taylor]: Taking taylor expansion of -1 in re
5.892 * [backup-simplify]: Simplify -1 into -1
5.892 * [taylor]: Taking taylor expansion of im in re
5.892 * [backup-simplify]: Simplify im into im
5.892 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.892 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.892 * [taylor]: Taking taylor expansion of -1 in re
5.892 * [backup-simplify]: Simplify -1 into -1
5.892 * [taylor]: Taking taylor expansion of im in re
5.892 * [backup-simplify]: Simplify im into im
5.892 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.892 * [backup-simplify]: Simplify (* -1 -1) into 1
5.892 * [backup-simplify]: Simplify (+ 1 0) into 1
5.893 * [backup-simplify]: Simplify (sqrt 1) into 1
5.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.894 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.894 * [backup-simplify]: Simplify (+ 0 0) into 0
5.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.895 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.895 * [taylor]: Taking taylor expansion of re in re
5.895 * [backup-simplify]: Simplify 0 into 0
5.895 * [backup-simplify]: Simplify 1 into 1
5.895 * [backup-simplify]: Simplify (/ 1 1) into 1
5.896 * [backup-simplify]: Simplify (- 1) into -1
5.896 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.896 * [taylor]: Taking taylor expansion of 0 in im
5.896 * [backup-simplify]: Simplify 0 into 0
5.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.897 * [backup-simplify]: Simplify (- 0) into 0
5.897 * [backup-simplify]: Simplify (+ 0 0) into 0
5.897 * [taylor]: Taking taylor expansion of 0 in im
5.897 * [backup-simplify]: Simplify 0 into 0
5.897 * [backup-simplify]: Simplify 0 into 0
5.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.899 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.899 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.899 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.900 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.901 * [backup-simplify]: Simplify (- 0) into 0
5.901 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.901 * [taylor]: Taking taylor expansion of 1/2 in im
5.901 * [backup-simplify]: Simplify 1/2 into 1/2
5.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.901 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.901 * [taylor]: Taking taylor expansion of im in im
5.901 * [backup-simplify]: Simplify 0 into 0
5.901 * [backup-simplify]: Simplify 1 into 1
5.901 * [backup-simplify]: Simplify (* 1 1) into 1
5.901 * [backup-simplify]: Simplify (/ 1 1) into 1
5.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.903 * [backup-simplify]: Simplify 0 into 0
5.903 * [backup-simplify]: Simplify 0 into 0
5.903 * [backup-simplify]: Simplify 0 into 0
5.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.906 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.906 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.906 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.906 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.907 * [backup-simplify]: Simplify (+ 0 0) into 0
5.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.909 * [backup-simplify]: Simplify (- 0) into 0
5.909 * [backup-simplify]: Simplify (+ 0 0) into 0
5.909 * [taylor]: Taking taylor expansion of 0 in im
5.909 * [backup-simplify]: Simplify 0 into 0
5.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2)
5.913 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
5.913 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
5.913 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.913 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.913 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.913 * [taylor]: Taking taylor expansion of (* re re) in im
5.913 * [taylor]: Taking taylor expansion of re in im
5.913 * [backup-simplify]: Simplify re into re
5.913 * [taylor]: Taking taylor expansion of re in im
5.913 * [backup-simplify]: Simplify re into re
5.913 * [taylor]: Taking taylor expansion of (* im im) in im
5.913 * [taylor]: Taking taylor expansion of im in im
5.913 * [backup-simplify]: Simplify 0 into 0
5.913 * [backup-simplify]: Simplify 1 into 1
5.913 * [taylor]: Taking taylor expansion of im in im
5.913 * [backup-simplify]: Simplify 0 into 0
5.913 * [backup-simplify]: Simplify 1 into 1
5.913 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.914 * [backup-simplify]: Simplify (* 0 0) into 0
5.914 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.914 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.914 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.915 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.915 * [backup-simplify]: Simplify (+ 0 0) into 0
5.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.916 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.916 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.916 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.916 * [taylor]: Taking taylor expansion of (* re re) in re
5.916 * [taylor]: Taking taylor expansion of re in re
5.916 * [backup-simplify]: Simplify 0 into 0
5.916 * [backup-simplify]: Simplify 1 into 1
5.916 * [taylor]: Taking taylor expansion of re in re
5.916 * [backup-simplify]: Simplify 0 into 0
5.916 * [backup-simplify]: Simplify 1 into 1
5.916 * [taylor]: Taking taylor expansion of (* im im) in re
5.916 * [taylor]: Taking taylor expansion of im in re
5.916 * [backup-simplify]: Simplify im into im
5.916 * [taylor]: Taking taylor expansion of im in re
5.916 * [backup-simplify]: Simplify im into im
5.916 * [backup-simplify]: Simplify (* 0 0) into 0
5.917 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.917 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.917 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.918 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.918 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.918 * [backup-simplify]: Simplify (+ 0 0) into 0
5.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.918 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.918 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.918 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.918 * [taylor]: Taking taylor expansion of (* re re) in re
5.918 * [taylor]: Taking taylor expansion of re in re
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 1 into 1
5.919 * [taylor]: Taking taylor expansion of re in re
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 1 into 1
5.919 * [taylor]: Taking taylor expansion of (* im im) in re
5.919 * [taylor]: Taking taylor expansion of im in re
5.919 * [backup-simplify]: Simplify im into im
5.919 * [taylor]: Taking taylor expansion of im in re
5.919 * [backup-simplify]: Simplify im into im
5.919 * [backup-simplify]: Simplify (* 0 0) into 0
5.919 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.919 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.920 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.920 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.920 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.921 * [backup-simplify]: Simplify (+ 0 0) into 0
5.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.921 * [taylor]: Taking taylor expansion of im in im
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [backup-simplify]: Simplify 1 into 1
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [taylor]: Taking taylor expansion of 0 in im
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [backup-simplify]: Simplify 1 into 1
5.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.923 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.923 * [backup-simplify]: Simplify (+ 1 0) into 1
5.924 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.924 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.924 * [taylor]: Taking taylor expansion of 1/2 in im
5.924 * [backup-simplify]: Simplify 1/2 into 1/2
5.924 * [taylor]: Taking taylor expansion of im in im
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 1 into 1
5.925 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.928 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.928 * [backup-simplify]: Simplify (+ 0 0) into 0
5.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.928 * [taylor]: Taking taylor expansion of 0 in im
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify 0 into 0
5.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.930 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
5.930 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
5.930 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.930 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.930 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.930 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.930 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.930 * [taylor]: Taking taylor expansion of re in im
5.930 * [backup-simplify]: Simplify re into re
5.931 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.931 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.931 * [taylor]: Taking taylor expansion of re in im
5.931 * [backup-simplify]: Simplify re into re
5.931 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.931 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.931 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.931 * [taylor]: Taking taylor expansion of im in im
5.931 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify 1 into 1
5.931 * [backup-simplify]: Simplify (/ 1 1) into 1
5.931 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.931 * [taylor]: Taking taylor expansion of im in im
5.931 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify 1 into 1
5.932 * [backup-simplify]: Simplify (/ 1 1) into 1
5.932 * [backup-simplify]: Simplify (* 1 1) into 1
5.933 * [backup-simplify]: Simplify (+ 0 1) into 1
5.933 * [backup-simplify]: Simplify (sqrt 1) into 1
5.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.936 * [backup-simplify]: Simplify (+ 0 0) into 0
5.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.937 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.937 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.937 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.937 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.937 * [taylor]: Taking taylor expansion of re in re
5.937 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify 1 into 1
5.937 * [backup-simplify]: Simplify (/ 1 1) into 1
5.938 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.938 * [taylor]: Taking taylor expansion of re in re
5.938 * [backup-simplify]: Simplify 0 into 0
5.938 * [backup-simplify]: Simplify 1 into 1
5.938 * [backup-simplify]: Simplify (/ 1 1) into 1
5.938 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.938 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.938 * [taylor]: Taking taylor expansion of im in re
5.938 * [backup-simplify]: Simplify im into im
5.938 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.938 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.938 * [taylor]: Taking taylor expansion of im in re
5.938 * [backup-simplify]: Simplify im into im
5.938 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.939 * [backup-simplify]: Simplify (* 1 1) into 1
5.939 * [backup-simplify]: Simplify (+ 1 0) into 1
5.940 * [backup-simplify]: Simplify (sqrt 1) into 1
5.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.942 * [backup-simplify]: Simplify (+ 0 0) into 0
5.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.943 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.943 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.943 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.944 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.944 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.944 * [taylor]: Taking taylor expansion of re in re
5.944 * [backup-simplify]: Simplify 0 into 0
5.944 * [backup-simplify]: Simplify 1 into 1
5.944 * [backup-simplify]: Simplify (/ 1 1) into 1
5.944 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.944 * [taylor]: Taking taylor expansion of re in re
5.944 * [backup-simplify]: Simplify 0 into 0
5.944 * [backup-simplify]: Simplify 1 into 1
5.944 * [backup-simplify]: Simplify (/ 1 1) into 1
5.944 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.945 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.945 * [taylor]: Taking taylor expansion of im in re
5.945 * [backup-simplify]: Simplify im into im
5.945 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.945 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.945 * [taylor]: Taking taylor expansion of im in re
5.945 * [backup-simplify]: Simplify im into im
5.945 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.945 * [backup-simplify]: Simplify (* 1 1) into 1
5.946 * [backup-simplify]: Simplify (+ 1 0) into 1
5.946 * [backup-simplify]: Simplify (sqrt 1) into 1
5.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.949 * [backup-simplify]: Simplify (+ 0 0) into 0
5.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.950 * [taylor]: Taking taylor expansion of 1 in im
5.950 * [backup-simplify]: Simplify 1 into 1
5.950 * [taylor]: Taking taylor expansion of 0 in im
5.950 * [backup-simplify]: Simplify 0 into 0
5.950 * [backup-simplify]: Simplify 1 into 1
5.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.959 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.959 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.961 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.961 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.961 * [taylor]: Taking taylor expansion of 1/2 in im
5.961 * [backup-simplify]: Simplify 1/2 into 1/2
5.961 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.961 * [taylor]: Taking taylor expansion of im in im
5.961 * [backup-simplify]: Simplify 0 into 0
5.961 * [backup-simplify]: Simplify 1 into 1
5.962 * [backup-simplify]: Simplify (* 1 1) into 1
5.962 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.964 * [backup-simplify]: Simplify 0 into 0
5.964 * [backup-simplify]: Simplify 0 into 0
5.964 * [backup-simplify]: Simplify 0 into 0
5.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.968 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.968 * [backup-simplify]: Simplify (+ 0 0) into 0
5.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.969 * [taylor]: Taking taylor expansion of 0 in im
5.969 * [backup-simplify]: Simplify 0 into 0
5.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.971 * [backup-simplify]: Simplify 0 into 0
5.971 * [backup-simplify]: Simplify 0 into 0
5.971 * [backup-simplify]: Simplify 0 into 0
5.971 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.972 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
5.972 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
5.972 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.972 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.972 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.972 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.972 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.972 * [taylor]: Taking taylor expansion of -1 in im
5.972 * [backup-simplify]: Simplify -1 into -1
5.972 * [taylor]: Taking taylor expansion of re in im
5.972 * [backup-simplify]: Simplify re into re
5.972 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.972 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.972 * [taylor]: Taking taylor expansion of -1 in im
5.972 * [backup-simplify]: Simplify -1 into -1
5.973 * [taylor]: Taking taylor expansion of re in im
5.973 * [backup-simplify]: Simplify re into re
5.973 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.973 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.973 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.973 * [taylor]: Taking taylor expansion of -1 in im
5.973 * [backup-simplify]: Simplify -1 into -1
5.973 * [taylor]: Taking taylor expansion of im in im
5.973 * [backup-simplify]: Simplify 0 into 0
5.973 * [backup-simplify]: Simplify 1 into 1
5.973 * [backup-simplify]: Simplify (/ -1 1) into -1
5.973 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.973 * [taylor]: Taking taylor expansion of -1 in im
5.973 * [backup-simplify]: Simplify -1 into -1
5.973 * [taylor]: Taking taylor expansion of im in im
5.973 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify 1 into 1
5.974 * [backup-simplify]: Simplify (/ -1 1) into -1
5.974 * [backup-simplify]: Simplify (* -1 -1) into 1
5.975 * [backup-simplify]: Simplify (+ 0 1) into 1
5.975 * [backup-simplify]: Simplify (sqrt 1) into 1
5.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.978 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.978 * [backup-simplify]: Simplify (+ 0 0) into 0
5.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.979 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.979 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.979 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.979 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.979 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.979 * [taylor]: Taking taylor expansion of -1 in re
5.979 * [backup-simplify]: Simplify -1 into -1
5.979 * [taylor]: Taking taylor expansion of re in re
5.979 * [backup-simplify]: Simplify 0 into 0
5.979 * [backup-simplify]: Simplify 1 into 1
5.980 * [backup-simplify]: Simplify (/ -1 1) into -1
5.980 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.980 * [taylor]: Taking taylor expansion of -1 in re
5.980 * [backup-simplify]: Simplify -1 into -1
5.980 * [taylor]: Taking taylor expansion of re in re
5.980 * [backup-simplify]: Simplify 0 into 0
5.980 * [backup-simplify]: Simplify 1 into 1
5.981 * [backup-simplify]: Simplify (/ -1 1) into -1
5.981 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.981 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.981 * [taylor]: Taking taylor expansion of -1 in re
5.981 * [backup-simplify]: Simplify -1 into -1
5.981 * [taylor]: Taking taylor expansion of im in re
5.981 * [backup-simplify]: Simplify im into im
5.981 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.981 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.981 * [taylor]: Taking taylor expansion of -1 in re
5.981 * [backup-simplify]: Simplify -1 into -1
5.981 * [taylor]: Taking taylor expansion of im in re
5.981 * [backup-simplify]: Simplify im into im
5.981 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.981 * [backup-simplify]: Simplify (* -1 -1) into 1
5.982 * [backup-simplify]: Simplify (+ 1 0) into 1
5.982 * [backup-simplify]: Simplify (sqrt 1) into 1
5.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.985 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.985 * [backup-simplify]: Simplify (+ 0 0) into 0
5.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.986 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.986 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.986 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.986 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.986 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.986 * [taylor]: Taking taylor expansion of -1 in re
5.987 * [backup-simplify]: Simplify -1 into -1
5.987 * [taylor]: Taking taylor expansion of re in re
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 1 into 1
5.987 * [backup-simplify]: Simplify (/ -1 1) into -1
5.987 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.987 * [taylor]: Taking taylor expansion of -1 in re
5.987 * [backup-simplify]: Simplify -1 into -1
5.987 * [taylor]: Taking taylor expansion of re in re
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 1 into 1
5.988 * [backup-simplify]: Simplify (/ -1 1) into -1
5.988 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.988 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.988 * [taylor]: Taking taylor expansion of -1 in re
5.988 * [backup-simplify]: Simplify -1 into -1
5.988 * [taylor]: Taking taylor expansion of im in re
5.988 * [backup-simplify]: Simplify im into im
5.988 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.988 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.988 * [taylor]: Taking taylor expansion of -1 in re
5.988 * [backup-simplify]: Simplify -1 into -1
5.988 * [taylor]: Taking taylor expansion of im in re
5.988 * [backup-simplify]: Simplify im into im
5.988 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.989 * [backup-simplify]: Simplify (* -1 -1) into 1
5.989 * [backup-simplify]: Simplify (+ 1 0) into 1
5.990 * [backup-simplify]: Simplify (sqrt 1) into 1
5.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.992 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.992 * [backup-simplify]: Simplify (+ 0 0) into 0
5.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.993 * [taylor]: Taking taylor expansion of 1 in im
5.993 * [backup-simplify]: Simplify 1 into 1
5.993 * [taylor]: Taking taylor expansion of 0 in im
5.993 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify 1 into 1
5.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.997 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.997 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.997 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.999 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.999 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.999 * [taylor]: Taking taylor expansion of 1/2 in im
5.999 * [backup-simplify]: Simplify 1/2 into 1/2
5.999 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.999 * [taylor]: Taking taylor expansion of im in im
5.999 * [backup-simplify]: Simplify 0 into 0
5.999 * [backup-simplify]: Simplify 1 into 1
5.999 * [backup-simplify]: Simplify (* 1 1) into 1
6.000 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.002 * [backup-simplify]: Simplify 0 into 0
6.002 * [backup-simplify]: Simplify 0 into 0
6.002 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.005 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.005 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.005 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.005 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.006 * [backup-simplify]: Simplify (+ 0 0) into 0
6.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.007 * [taylor]: Taking taylor expansion of 0 in im
6.007 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.009 * [backup-simplify]: Simplify 0 into 0
6.009 * [backup-simplify]: Simplify 0 into 0
6.009 * [backup-simplify]: Simplify 0 into 0
6.009 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.009 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
6.010 * [backup-simplify]: Simplify (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
6.010 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
6.010 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
6.010 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
6.010 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
6.010 * [taylor]: Taking taylor expansion of re in im
6.010 * [backup-simplify]: Simplify re into re
6.010 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.010 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.010 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.010 * [taylor]: Taking taylor expansion of (* re re) in im
6.010 * [taylor]: Taking taylor expansion of re in im
6.010 * [backup-simplify]: Simplify re into re
6.010 * [taylor]: Taking taylor expansion of re in im
6.010 * [backup-simplify]: Simplify re into re
6.010 * [taylor]: Taking taylor expansion of (* im im) in im
6.010 * [taylor]: Taking taylor expansion of im in im
6.010 * [backup-simplify]: Simplify 0 into 0
6.010 * [backup-simplify]: Simplify 1 into 1
6.010 * [taylor]: Taking taylor expansion of im in im
6.010 * [backup-simplify]: Simplify 0 into 0
6.010 * [backup-simplify]: Simplify 1 into 1
6.010 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.011 * [backup-simplify]: Simplify (* 0 0) into 0
6.011 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.011 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.011 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.012 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.012 * [backup-simplify]: Simplify (+ 0 0) into 0
6.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.013 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
6.013 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
6.013 * [backup-simplify]: Simplify (+ 0 0) into 0
6.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.013 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.013 * [taylor]: Taking taylor expansion of 2.0 in im
6.013 * [backup-simplify]: Simplify 2.0 into 2.0
6.014 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.015 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
6.015 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
6.015 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
6.015 * [taylor]: Taking taylor expansion of re in re
6.015 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify 1 into 1
6.015 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.015 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.015 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.015 * [taylor]: Taking taylor expansion of (* re re) in re
6.015 * [taylor]: Taking taylor expansion of re in re
6.015 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify 1 into 1
6.015 * [taylor]: Taking taylor expansion of re in re
6.015 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify 1 into 1
6.015 * [taylor]: Taking taylor expansion of (* im im) in re
6.015 * [taylor]: Taking taylor expansion of im in re
6.015 * [backup-simplify]: Simplify im into im
6.015 * [taylor]: Taking taylor expansion of im in re
6.015 * [backup-simplify]: Simplify im into im
6.016 * [backup-simplify]: Simplify (* 0 0) into 0
6.016 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.016 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.016 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.016 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.016 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.016 * [backup-simplify]: Simplify (+ 0 0) into 0
6.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.017 * [backup-simplify]: Simplify (+ 0 im) into im
6.017 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.017 * [backup-simplify]: Simplify (+ 1 0) into 1
6.017 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.017 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.017 * [taylor]: Taking taylor expansion of 2.0 in re
6.017 * [backup-simplify]: Simplify 2.0 into 2.0
6.017 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.018 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
6.018 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
6.018 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
6.018 * [taylor]: Taking taylor expansion of re in re
6.018 * [backup-simplify]: Simplify 0 into 0
6.018 * [backup-simplify]: Simplify 1 into 1
6.018 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.018 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.018 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.018 * [taylor]: Taking taylor expansion of (* re re) in re
6.018 * [taylor]: Taking taylor expansion of re in re
6.018 * [backup-simplify]: Simplify 0 into 0
6.018 * [backup-simplify]: Simplify 1 into 1
6.018 * [taylor]: Taking taylor expansion of re in re
6.018 * [backup-simplify]: Simplify 0 into 0
6.018 * [backup-simplify]: Simplify 1 into 1
6.018 * [taylor]: Taking taylor expansion of (* im im) in re
6.018 * [taylor]: Taking taylor expansion of im in re
6.018 * [backup-simplify]: Simplify im into im
6.018 * [taylor]: Taking taylor expansion of im in re
6.018 * [backup-simplify]: Simplify im into im
6.019 * [backup-simplify]: Simplify (* 0 0) into 0
6.019 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.019 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.019 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.019 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.019 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.019 * [backup-simplify]: Simplify (+ 0 0) into 0
6.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.020 * [backup-simplify]: Simplify (+ 0 im) into im
6.020 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.020 * [backup-simplify]: Simplify (+ 1 0) into 1
6.020 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.020 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.020 * [taylor]: Taking taylor expansion of 2.0 in re
6.020 * [backup-simplify]: Simplify 2.0 into 2.0
6.020 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.021 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
6.021 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
6.021 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.021 * [taylor]: Taking taylor expansion of 2.0 in im
6.021 * [backup-simplify]: Simplify 2.0 into 2.0
6.022 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.022 * [taylor]: Taking taylor expansion of (sqrt im) in im
6.022 * [taylor]: Taking taylor expansion of im in im
6.022 * [backup-simplify]: Simplify 0 into 0
6.022 * [backup-simplify]: Simplify 1 into 1
6.022 * [backup-simplify]: Simplify (sqrt 0) into 0
6.023 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.024 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
6.024 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
6.024 * [taylor]: Taking taylor expansion of 1/2 in im
6.024 * [backup-simplify]: Simplify 1/2 into 1/2
6.024 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
6.024 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.024 * [taylor]: Taking taylor expansion of 2.0 in im
6.024 * [backup-simplify]: Simplify 2.0 into 2.0
6.024 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.025 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
6.025 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.025 * [taylor]: Taking taylor expansion of im in im
6.025 * [backup-simplify]: Simplify 0 into 0
6.025 * [backup-simplify]: Simplify 1 into 1
6.025 * [backup-simplify]: Simplify (/ 1 1) into 1
6.025 * [backup-simplify]: Simplify (sqrt 0) into 0
6.026 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.028 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.028 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.030 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.031 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.033 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.034 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.035 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.036 * [backup-simplify]: Simplify (+ 1 0) into 1
6.036 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.036 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.037 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
6.037 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
6.037 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
6.037 * [taylor]: Taking taylor expansion of 1/8 in im
6.037 * [backup-simplify]: Simplify 1/8 into 1/8
6.037 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
6.037 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.037 * [taylor]: Taking taylor expansion of 2.0 in im
6.037 * [backup-simplify]: Simplify 2.0 into 2.0
6.038 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
6.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
6.038 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.038 * [taylor]: Taking taylor expansion of im in im
6.038 * [backup-simplify]: Simplify 0 into 0
6.038 * [backup-simplify]: Simplify 1 into 1
6.038 * [backup-simplify]: Simplify (* 1 1) into 1
6.039 * [backup-simplify]: Simplify (* 1 1) into 1
6.039 * [backup-simplify]: Simplify (/ 1 1) into 1
6.039 * [backup-simplify]: Simplify (sqrt 0) into 0
6.040 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.043 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.047 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.049 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.050 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.055 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.057 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.063 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
6.063 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
6.063 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
6.063 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
6.063 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
6.063 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
6.063 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.064 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.064 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.064 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.064 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.064 * [taylor]: Taking taylor expansion of re in im
6.064 * [backup-simplify]: Simplify re into re
6.064 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.064 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.064 * [taylor]: Taking taylor expansion of re in im
6.064 * [backup-simplify]: Simplify re into re
6.064 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.064 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.064 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.064 * [taylor]: Taking taylor expansion of im in im
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify 1 into 1
6.065 * [backup-simplify]: Simplify (/ 1 1) into 1
6.065 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.065 * [taylor]: Taking taylor expansion of im in im
6.065 * [backup-simplify]: Simplify 0 into 0
6.065 * [backup-simplify]: Simplify 1 into 1
6.065 * [backup-simplify]: Simplify (/ 1 1) into 1
6.065 * [backup-simplify]: Simplify (* 1 1) into 1
6.066 * [backup-simplify]: Simplify (+ 0 1) into 1
6.066 * [backup-simplify]: Simplify (sqrt 1) into 1
6.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.069 * [backup-simplify]: Simplify (+ 0 0) into 0
6.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.070 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.070 * [taylor]: Taking taylor expansion of re in im
6.070 * [backup-simplify]: Simplify re into re
6.070 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.070 * [backup-simplify]: Simplify (+ 1 0) into 1
6.071 * [backup-simplify]: Simplify (sqrt 0) into 0
6.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.072 * [taylor]: Taking taylor expansion of 2.0 in im
6.072 * [backup-simplify]: Simplify 2.0 into 2.0
6.073 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.074 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
6.074 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
6.074 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.074 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.074 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.074 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.074 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.074 * [taylor]: Taking taylor expansion of re in re
6.074 * [backup-simplify]: Simplify 0 into 0
6.074 * [backup-simplify]: Simplify 1 into 1
6.075 * [backup-simplify]: Simplify (/ 1 1) into 1
6.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.075 * [taylor]: Taking taylor expansion of re in re
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify 1 into 1
6.075 * [backup-simplify]: Simplify (/ 1 1) into 1
6.075 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.075 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.075 * [taylor]: Taking taylor expansion of im in re
6.075 * [backup-simplify]: Simplify im into im
6.075 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.076 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.076 * [taylor]: Taking taylor expansion of im in re
6.076 * [backup-simplify]: Simplify im into im
6.076 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.076 * [backup-simplify]: Simplify (* 1 1) into 1
6.077 * [backup-simplify]: Simplify (+ 1 0) into 1
6.077 * [backup-simplify]: Simplify (sqrt 1) into 1
6.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.080 * [backup-simplify]: Simplify (+ 0 0) into 0
6.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.080 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.080 * [taylor]: Taking taylor expansion of re in re
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify 1 into 1
6.081 * [backup-simplify]: Simplify (/ 1 1) into 1
6.081 * [backup-simplify]: Simplify (+ 1 1) into 2
6.082 * [backup-simplify]: Simplify (sqrt 0) into 0
6.083 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.083 * [taylor]: Taking taylor expansion of 2.0 in re
6.083 * [backup-simplify]: Simplify 2.0 into 2.0
6.083 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.084 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
6.084 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
6.084 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.084 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.085 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.085 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.085 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.085 * [taylor]: Taking taylor expansion of re in re
6.085 * [backup-simplify]: Simplify 0 into 0
6.085 * [backup-simplify]: Simplify 1 into 1
6.085 * [backup-simplify]: Simplify (/ 1 1) into 1
6.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.085 * [taylor]: Taking taylor expansion of re in re
6.085 * [backup-simplify]: Simplify 0 into 0
6.085 * [backup-simplify]: Simplify 1 into 1
6.086 * [backup-simplify]: Simplify (/ 1 1) into 1
6.086 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.086 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.086 * [taylor]: Taking taylor expansion of im in re
6.086 * [backup-simplify]: Simplify im into im
6.086 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.086 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.086 * [taylor]: Taking taylor expansion of im in re
6.086 * [backup-simplify]: Simplify im into im
6.086 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.086 * [backup-simplify]: Simplify (* 1 1) into 1
6.087 * [backup-simplify]: Simplify (+ 1 0) into 1
6.087 * [backup-simplify]: Simplify (sqrt 1) into 1
6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.090 * [backup-simplify]: Simplify (+ 0 0) into 0
6.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.091 * [taylor]: Taking taylor expansion of re in re
6.091 * [backup-simplify]: Simplify 0 into 0
6.091 * [backup-simplify]: Simplify 1 into 1
6.091 * [backup-simplify]: Simplify (/ 1 1) into 1
6.092 * [backup-simplify]: Simplify (+ 1 1) into 2
6.092 * [backup-simplify]: Simplify (sqrt 0) into 0
6.093 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.093 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.093 * [taylor]: Taking taylor expansion of 2.0 in re
6.093 * [backup-simplify]: Simplify 2.0 into 2.0
6.094 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.096 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
6.096 * [taylor]: Taking taylor expansion of 0 in im
6.096 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.098 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.098 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.098 * [taylor]: Taking taylor expansion of +nan.0 in im
6.098 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.098 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.098 * [taylor]: Taking taylor expansion of 2.0 in im
6.098 * [backup-simplify]: Simplify 2.0 into 2.0
6.099 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.099 * [backup-simplify]: Simplify 0 into 0
6.105 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.107 * [backup-simplify]: Simplify (+ 0 0) into 0
6.111 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.114 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.114 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.114 * [taylor]: Taking taylor expansion of +nan.0 in im
6.114 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.115 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.115 * [taylor]: Taking taylor expansion of 2.0 in im
6.115 * [backup-simplify]: Simplify 2.0 into 2.0
6.115 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.116 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.117 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.118 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.118 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.121 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.121 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.122 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.122 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.124 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
6.125 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
6.125 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
6.125 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.125 * [taylor]: Taking taylor expansion of +nan.0 in im
6.125 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.125 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.125 * [taylor]: Taking taylor expansion of 2.0 in im
6.125 * [backup-simplify]: Simplify 2.0 into 2.0
6.125 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.126 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.126 * [taylor]: Taking taylor expansion of im in im
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify 1 into 1
6.126 * [backup-simplify]: Simplify (* 1 1) into 1
6.127 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.127 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.127 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.127 * [taylor]: Taking taylor expansion of +nan.0 in im
6.127 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.127 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.127 * [taylor]: Taking taylor expansion of 2.0 in im
6.127 * [backup-simplify]: Simplify 2.0 into 2.0
6.127 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.129 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.129 * [backup-simplify]: Simplify (+ 0 0) into 0
6.130 * [backup-simplify]: Simplify (- 0) into 0
6.130 * [backup-simplify]: Simplify 0 into 0
6.130 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.131 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.132 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.133 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.133 * [backup-simplify]: Simplify (- 0) into 0
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.136 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.136 * [backup-simplify]: Simplify (+ 0 0) into 0
6.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.137 * [backup-simplify]: Simplify (+ 0 0) into 0
6.138 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
6.140 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
6.140 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
6.140 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.140 * [taylor]: Taking taylor expansion of +nan.0 in im
6.140 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.140 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.140 * [taylor]: Taking taylor expansion of 2.0 in im
6.140 * [backup-simplify]: Simplify 2.0 into 2.0
6.140 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.141 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.141 * [taylor]: Taking taylor expansion of im in im
6.141 * [backup-simplify]: Simplify 0 into 0
6.141 * [backup-simplify]: Simplify 1 into 1
6.141 * [backup-simplify]: Simplify (* 1 1) into 1
6.142 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.142 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.142 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.142 * [taylor]: Taking taylor expansion of +nan.0 in im
6.142 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.142 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.142 * [taylor]: Taking taylor expansion of 2.0 in im
6.142 * [backup-simplify]: Simplify 2.0 into 2.0
6.142 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.145 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.145 * [backup-simplify]: Simplify (+ 0 0) into 0
6.146 * [backup-simplify]: Simplify (- 0) into 0
6.146 * [backup-simplify]: Simplify 0 into 0
6.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.150 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.151 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.153 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.155 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.158 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.159 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.165 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
6.165 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
6.165 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
6.165 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
6.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.166 * [taylor]: Taking taylor expansion of 2.0 in im
6.166 * [backup-simplify]: Simplify 2.0 into 2.0
6.166 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.167 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
6.167 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.167 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.167 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.167 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.167 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.167 * [taylor]: Taking taylor expansion of -1 in im
6.167 * [backup-simplify]: Simplify -1 into -1
6.167 * [taylor]: Taking taylor expansion of re in im
6.167 * [backup-simplify]: Simplify re into re
6.167 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.168 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.168 * [taylor]: Taking taylor expansion of -1 in im
6.168 * [backup-simplify]: Simplify -1 into -1
6.168 * [taylor]: Taking taylor expansion of re in im
6.168 * [backup-simplify]: Simplify re into re
6.168 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.168 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.168 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.168 * [taylor]: Taking taylor expansion of -1 in im
6.168 * [backup-simplify]: Simplify -1 into -1
6.168 * [taylor]: Taking taylor expansion of im in im
6.168 * [backup-simplify]: Simplify 0 into 0
6.168 * [backup-simplify]: Simplify 1 into 1
6.168 * [backup-simplify]: Simplify (/ -1 1) into -1
6.168 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.168 * [taylor]: Taking taylor expansion of -1 in im
6.168 * [backup-simplify]: Simplify -1 into -1
6.168 * [taylor]: Taking taylor expansion of im in im
6.169 * [backup-simplify]: Simplify 0 into 0
6.169 * [backup-simplify]: Simplify 1 into 1
6.169 * [backup-simplify]: Simplify (/ -1 1) into -1
6.169 * [backup-simplify]: Simplify (* -1 -1) into 1
6.170 * [backup-simplify]: Simplify (+ 0 1) into 1
6.170 * [backup-simplify]: Simplify (sqrt 1) into 1
6.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.173 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.173 * [backup-simplify]: Simplify (+ 0 0) into 0
6.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.174 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.174 * [taylor]: Taking taylor expansion of re in im
6.174 * [backup-simplify]: Simplify re into re
6.174 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.174 * [backup-simplify]: Simplify (+ 1 0) into 1
6.175 * [backup-simplify]: Simplify (sqrt 0) into 0
6.176 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.176 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
6.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.176 * [taylor]: Taking taylor expansion of 2.0 in re
6.177 * [backup-simplify]: Simplify 2.0 into 2.0
6.177 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.178 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
6.178 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.178 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.178 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.178 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.178 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.178 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.178 * [taylor]: Taking taylor expansion of -1 in re
6.178 * [backup-simplify]: Simplify -1 into -1
6.178 * [taylor]: Taking taylor expansion of re in re
6.178 * [backup-simplify]: Simplify 0 into 0
6.178 * [backup-simplify]: Simplify 1 into 1
6.179 * [backup-simplify]: Simplify (/ -1 1) into -1
6.179 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.179 * [taylor]: Taking taylor expansion of -1 in re
6.179 * [backup-simplify]: Simplify -1 into -1
6.179 * [taylor]: Taking taylor expansion of re in re
6.179 * [backup-simplify]: Simplify 0 into 0
6.179 * [backup-simplify]: Simplify 1 into 1
6.179 * [backup-simplify]: Simplify (/ -1 1) into -1
6.179 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.179 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.179 * [taylor]: Taking taylor expansion of -1 in re
6.180 * [backup-simplify]: Simplify -1 into -1
6.180 * [taylor]: Taking taylor expansion of im in re
6.180 * [backup-simplify]: Simplify im into im
6.180 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.180 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.180 * [taylor]: Taking taylor expansion of -1 in re
6.180 * [backup-simplify]: Simplify -1 into -1
6.180 * [taylor]: Taking taylor expansion of im in re
6.180 * [backup-simplify]: Simplify im into im
6.180 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.180 * [backup-simplify]: Simplify (* -1 -1) into 1
6.181 * [backup-simplify]: Simplify (+ 1 0) into 1
6.181 * [backup-simplify]: Simplify (sqrt 1) into 1
6.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.183 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.184 * [backup-simplify]: Simplify (+ 0 0) into 0
6.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.184 * [taylor]: Taking taylor expansion of re in re
6.184 * [backup-simplify]: Simplify 0 into 0
6.184 * [backup-simplify]: Simplify 1 into 1
6.184 * [backup-simplify]: Simplify (/ 1 1) into 1
6.185 * [backup-simplify]: Simplify (- 1) into -1
6.185 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.186 * [backup-simplify]: Simplify (- 0) into 0
6.186 * [backup-simplify]: Simplify (+ 0 0) into 0
6.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.188 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.188 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.189 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.189 * [backup-simplify]: Simplify (- 0) into 0
6.190 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.190 * [backup-simplify]: Simplify (sqrt 0) into 0
6.190 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.190 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
6.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.190 * [taylor]: Taking taylor expansion of 2.0 in re
6.190 * [backup-simplify]: Simplify 2.0 into 2.0
6.191 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.191 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
6.191 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.191 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.191 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.191 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.191 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.191 * [taylor]: Taking taylor expansion of -1 in re
6.191 * [backup-simplify]: Simplify -1 into -1
6.191 * [taylor]: Taking taylor expansion of re in re
6.191 * [backup-simplify]: Simplify 0 into 0
6.191 * [backup-simplify]: Simplify 1 into 1
6.192 * [backup-simplify]: Simplify (/ -1 1) into -1
6.192 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.192 * [taylor]: Taking taylor expansion of -1 in re
6.192 * [backup-simplify]: Simplify -1 into -1
6.192 * [taylor]: Taking taylor expansion of re in re
6.192 * [backup-simplify]: Simplify 0 into 0
6.192 * [backup-simplify]: Simplify 1 into 1
6.192 * [backup-simplify]: Simplify (/ -1 1) into -1
6.192 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.192 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.192 * [taylor]: Taking taylor expansion of -1 in re
6.192 * [backup-simplify]: Simplify -1 into -1
6.192 * [taylor]: Taking taylor expansion of im in re
6.192 * [backup-simplify]: Simplify im into im
6.192 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.192 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.192 * [taylor]: Taking taylor expansion of -1 in re
6.192 * [backup-simplify]: Simplify -1 into -1
6.192 * [taylor]: Taking taylor expansion of im in re
6.192 * [backup-simplify]: Simplify im into im
6.192 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.193 * [backup-simplify]: Simplify (* -1 -1) into 1
6.193 * [backup-simplify]: Simplify (+ 1 0) into 1
6.193 * [backup-simplify]: Simplify (sqrt 1) into 1
6.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.195 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.195 * [backup-simplify]: Simplify (+ 0 0) into 0
6.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.195 * [taylor]: Taking taylor expansion of re in re
6.195 * [backup-simplify]: Simplify 0 into 0
6.195 * [backup-simplify]: Simplify 1 into 1
6.196 * [backup-simplify]: Simplify (/ 1 1) into 1
6.196 * [backup-simplify]: Simplify (- 1) into -1
6.196 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.197 * [backup-simplify]: Simplify (- 0) into 0
6.197 * [backup-simplify]: Simplify (+ 0 0) into 0
6.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.199 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.199 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.199 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.200 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.201 * [backup-simplify]: Simplify (- 0) into 0
6.201 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.201 * [backup-simplify]: Simplify (sqrt 0) into 0
6.201 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.202 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.202 * [taylor]: Taking taylor expansion of 0 in im
6.202 * [backup-simplify]: Simplify 0 into 0
6.203 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
6.203 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
6.203 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.203 * [taylor]: Taking taylor expansion of +nan.0 in im
6.203 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.203 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.203 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.203 * [taylor]: Taking taylor expansion of 2.0 in im
6.203 * [backup-simplify]: Simplify 2.0 into 2.0
6.203 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.203 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.203 * [taylor]: Taking taylor expansion of im in im
6.204 * [backup-simplify]: Simplify 0 into 0
6.204 * [backup-simplify]: Simplify 1 into 1
6.204 * [backup-simplify]: Simplify (* 1 1) into 1
6.204 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.206 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.206 * [backup-simplify]: Simplify (- 0) into 0
6.206 * [backup-simplify]: Simplify 0 into 0
6.206 * [backup-simplify]: Simplify 0 into 0
6.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.208 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.208 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.208 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.208 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.209 * [backup-simplify]: Simplify (+ 0 0) into 0
6.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.210 * [backup-simplify]: Simplify (- 0) into 0
6.210 * [backup-simplify]: Simplify (+ 0 0) into 0
6.211 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
6.212 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.213 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
6.213 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
6.213 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
6.213 * [taylor]: Taking taylor expansion of +nan.0 in im
6.213 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.213 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
6.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.213 * [taylor]: Taking taylor expansion of 2.0 in im
6.214 * [backup-simplify]: Simplify 2.0 into 2.0
6.214 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.215 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.215 * [taylor]: Taking taylor expansion of im in im
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify 1 into 1
6.215 * [backup-simplify]: Simplify (* 1 1) into 1
6.216 * [backup-simplify]: Simplify (* 1 1) into 1
6.217 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.218 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.234 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
6.235 * [backup-simplify]: Simplify (- 0) into 0
6.235 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.239 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.240 * [backup-simplify]: Simplify (- 0) into 0
6.240 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify 0 into 0
6.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.243 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
6.243 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
6.244 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
6.244 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
6.244 * [backup-simplify]: Simplify (+ 0 0) into 0
6.246 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
6.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.247 * [backup-simplify]: Simplify (- 0) into 0
6.248 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
6.249 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
6.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.252 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
6.252 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
6.252 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
6.252 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
6.252 * [taylor]: Taking taylor expansion of +nan.0 in im
6.252 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.252 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
6.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.252 * [taylor]: Taking taylor expansion of 2.0 in im
6.252 * [backup-simplify]: Simplify 2.0 into 2.0
6.252 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.253 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.253 * [taylor]: Taking taylor expansion of im in im
6.253 * [backup-simplify]: Simplify 0 into 0
6.253 * [backup-simplify]: Simplify 1 into 1
6.254 * [backup-simplify]: Simplify (* 1 1) into 1
6.254 * [backup-simplify]: Simplify (* 1 1) into 1
6.255 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.255 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
6.255 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
6.255 * [taylor]: Taking taylor expansion of +nan.0 in im
6.255 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.255 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
6.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.255 * [taylor]: Taking taylor expansion of 2.0 in im
6.255 * [backup-simplify]: Simplify 2.0 into 2.0
6.256 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.257 * [taylor]: Taking taylor expansion of (pow im 6) in im
6.257 * [taylor]: Taking taylor expansion of im in im
6.257 * [backup-simplify]: Simplify 0 into 0
6.257 * [backup-simplify]: Simplify 1 into 1
6.257 * [backup-simplify]: Simplify (* 1 1) into 1
6.257 * [backup-simplify]: Simplify (* 1 1) into 1
6.258 * [backup-simplify]: Simplify (* 1 1) into 1
6.259 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.260 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
6.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.272 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.286 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
6.287 * [backup-simplify]: Simplify (- 0) into 0
6.287 * [backup-simplify]: Simplify (+ 0 0) into 0
6.287 * [backup-simplify]: Simplify (- 0) into 0
6.287 * [backup-simplify]: Simplify 0 into 0
6.287 * [backup-simplify]: Simplify 0 into 0
6.287 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2)
6.288 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
6.288 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0
6.288 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
6.288 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.288 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.288 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.288 * [taylor]: Taking taylor expansion of (* re re) in im
6.288 * [taylor]: Taking taylor expansion of re in im
6.288 * [backup-simplify]: Simplify re into re
6.288 * [taylor]: Taking taylor expansion of re in im
6.288 * [backup-simplify]: Simplify re into re
6.288 * [taylor]: Taking taylor expansion of (* im im) in im
6.288 * [taylor]: Taking taylor expansion of im in im
6.288 * [backup-simplify]: Simplify 0 into 0
6.288 * [backup-simplify]: Simplify 1 into 1
6.288 * [taylor]: Taking taylor expansion of im in im
6.288 * [backup-simplify]: Simplify 0 into 0
6.288 * [backup-simplify]: Simplify 1 into 1
6.288 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.289 * [backup-simplify]: Simplify (* 0 0) into 0
6.289 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.289 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.289 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.290 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.290 * [backup-simplify]: Simplify (+ 0 0) into 0
6.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.291 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
6.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
6.291 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.291 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.291 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.291 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.291 * [taylor]: Taking taylor expansion of (* re re) in re
6.291 * [taylor]: Taking taylor expansion of re in re
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify 1 into 1
6.291 * [taylor]: Taking taylor expansion of re in re
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify 1 into 1
6.291 * [taylor]: Taking taylor expansion of (* im im) in re
6.291 * [taylor]: Taking taylor expansion of im in re
6.291 * [backup-simplify]: Simplify im into im
6.291 * [taylor]: Taking taylor expansion of im in re
6.291 * [backup-simplify]: Simplify im into im
6.292 * [backup-simplify]: Simplify (* 0 0) into 0
6.292 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.292 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.292 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.293 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.293 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.293 * [backup-simplify]: Simplify (+ 0 0) into 0
6.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.294 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.294 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.294 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.294 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.294 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.294 * [taylor]: Taking taylor expansion of (* re re) in re
6.294 * [taylor]: Taking taylor expansion of re in re
6.294 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify 1 into 1
6.294 * [taylor]: Taking taylor expansion of re in re
6.294 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify 1 into 1
6.294 * [taylor]: Taking taylor expansion of (* im im) in re
6.294 * [taylor]: Taking taylor expansion of im in re
6.294 * [backup-simplify]: Simplify im into im
6.294 * [taylor]: Taking taylor expansion of im in re
6.294 * [backup-simplify]: Simplify im into im
6.295 * [backup-simplify]: Simplify (* 0 0) into 0
6.295 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.295 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.295 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.296 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.296 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.296 * [backup-simplify]: Simplify (+ 0 0) into 0
6.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.296 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.297 * [taylor]: Taking taylor expansion of (sqrt im) in im
6.297 * [taylor]: Taking taylor expansion of im in im
6.297 * [backup-simplify]: Simplify 0 into 0
6.297 * [backup-simplify]: Simplify 1 into 1
6.297 * [backup-simplify]: Simplify (sqrt 0) into 0
6.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [taylor]: Taking taylor expansion of 0 in im
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.300 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.301 * [backup-simplify]: Simplify (+ 1 0) into 1
6.301 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.302 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.302 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
6.302 * [taylor]: Taking taylor expansion of 1/4 in im
6.302 * [backup-simplify]: Simplify 1/4 into 1/4
6.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
6.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
6.303 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.303 * [taylor]: Taking taylor expansion of im in im
6.303 * [backup-simplify]: Simplify 0 into 0
6.303 * [backup-simplify]: Simplify 1 into 1
6.303 * [backup-simplify]: Simplify (* 1 1) into 1
6.303 * [backup-simplify]: Simplify (* 1 1) into 1
6.304 * [backup-simplify]: Simplify (/ 1 1) into 1
6.304 * [backup-simplify]: Simplify (sqrt 0) into 0
6.306 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.311 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.313 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
6.314 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.314 * [backup-simplify]: Simplify 0 into 0
6.317 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.317 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.318 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2)))))))
6.318 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
6.318 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
6.318 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
6.318 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.318 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.318 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.318 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.318 * [taylor]: Taking taylor expansion of re in im
6.318 * [backup-simplify]: Simplify re into re
6.318 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.318 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.318 * [taylor]: Taking taylor expansion of re in im
6.318 * [backup-simplify]: Simplify re into re
6.319 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.319 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.319 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.319 * [taylor]: Taking taylor expansion of im in im
6.319 * [backup-simplify]: Simplify 0 into 0
6.319 * [backup-simplify]: Simplify 1 into 1
6.319 * [backup-simplify]: Simplify (/ 1 1) into 1
6.319 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.319 * [taylor]: Taking taylor expansion of im in im
6.319 * [backup-simplify]: Simplify 0 into 0
6.319 * [backup-simplify]: Simplify 1 into 1
6.320 * [backup-simplify]: Simplify (/ 1 1) into 1
6.320 * [backup-simplify]: Simplify (* 1 1) into 1
6.321 * [backup-simplify]: Simplify (+ 0 1) into 1
6.321 * [backup-simplify]: Simplify (sqrt 1) into 1
6.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.324 * [backup-simplify]: Simplify (+ 0 0) into 0
6.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.325 * [backup-simplify]: Simplify (sqrt 0) into 0
6.326 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.326 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.326 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.327 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.327 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.327 * [taylor]: Taking taylor expansion of re in re
6.327 * [backup-simplify]: Simplify 0 into 0
6.327 * [backup-simplify]: Simplify 1 into 1
6.327 * [backup-simplify]: Simplify (/ 1 1) into 1
6.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.327 * [taylor]: Taking taylor expansion of re in re
6.327 * [backup-simplify]: Simplify 0 into 0
6.327 * [backup-simplify]: Simplify 1 into 1
6.328 * [backup-simplify]: Simplify (/ 1 1) into 1
6.328 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.328 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.328 * [taylor]: Taking taylor expansion of im in re
6.328 * [backup-simplify]: Simplify im into im
6.328 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.328 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.328 * [taylor]: Taking taylor expansion of im in re
6.328 * [backup-simplify]: Simplify im into im
6.328 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.329 * [backup-simplify]: Simplify (* 1 1) into 1
6.329 * [backup-simplify]: Simplify (+ 1 0) into 1
6.329 * [backup-simplify]: Simplify (sqrt 1) into 1
6.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.332 * [backup-simplify]: Simplify (+ 0 0) into 0
6.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.333 * [backup-simplify]: Simplify (sqrt 0) into 0
6.334 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.334 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.335 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.335 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.335 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.335 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.335 * [taylor]: Taking taylor expansion of re in re
6.335 * [backup-simplify]: Simplify 0 into 0
6.335 * [backup-simplify]: Simplify 1 into 1
6.335 * [backup-simplify]: Simplify (/ 1 1) into 1
6.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.335 * [taylor]: Taking taylor expansion of re in re
6.335 * [backup-simplify]: Simplify 0 into 0
6.335 * [backup-simplify]: Simplify 1 into 1
6.336 * [backup-simplify]: Simplify (/ 1 1) into 1
6.336 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.336 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.336 * [taylor]: Taking taylor expansion of im in re
6.336 * [backup-simplify]: Simplify im into im
6.336 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.336 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.336 * [taylor]: Taking taylor expansion of im in re
6.336 * [backup-simplify]: Simplify im into im
6.336 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.337 * [backup-simplify]: Simplify (* 1 1) into 1
6.337 * [backup-simplify]: Simplify (+ 1 0) into 1
6.337 * [backup-simplify]: Simplify (sqrt 1) into 1
6.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.340 * [backup-simplify]: Simplify (+ 0 0) into 0
6.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.341 * [backup-simplify]: Simplify (sqrt 0) into 0
6.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.343 * [taylor]: Taking taylor expansion of 0 in im
6.343 * [backup-simplify]: Simplify 0 into 0
6.343 * [taylor]: Taking taylor expansion of +nan.0 in im
6.343 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.343 * [backup-simplify]: Simplify 0 into 0
6.345 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.345 * [taylor]: Taking taylor expansion of +nan.0 in im
6.345 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.345 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.345 * [backup-simplify]: Simplify 0 into 0
6.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.347 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.347 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.348 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.349 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.349 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
6.349 * [taylor]: Taking taylor expansion of +nan.0 in im
6.349 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.349 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
6.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.349 * [taylor]: Taking taylor expansion of 1/2 in im
6.349 * [backup-simplify]: Simplify 1/2 into 1/2
6.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.349 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.349 * [taylor]: Taking taylor expansion of im in im
6.349 * [backup-simplify]: Simplify 0 into 0
6.349 * [backup-simplify]: Simplify 1 into 1
6.349 * [backup-simplify]: Simplify (* 1 1) into 1
6.350 * [backup-simplify]: Simplify (/ 1 1) into 1
6.350 * [taylor]: Taking taylor expansion of +nan.0 in im
6.350 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.351 * [backup-simplify]: Simplify (+ 0 0) into 0
6.351 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.352 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.352 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
6.352 * [backup-simplify]: Simplify 0 into 0
6.352 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.352 * [backup-simplify]: Simplify 0 into 0
6.352 * [backup-simplify]: Simplify 0 into 0
6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.358 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.358 * [backup-simplify]: Simplify (+ 0 0) into 0
6.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.359 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.360 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.360 * [taylor]: Taking taylor expansion of +nan.0 in im
6.360 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.360 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.360 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.360 * [taylor]: Taking taylor expansion of +nan.0 in im
6.360 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.360 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.360 * [taylor]: Taking taylor expansion of im in im
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * [backup-simplify]: Simplify 1 into 1
6.360 * [backup-simplify]: Simplify (* 1 1) into 1
6.360 * [backup-simplify]: Simplify (/ 1 1) into 1
6.360 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.360 * [taylor]: Taking taylor expansion of +nan.0 in im
6.360 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.362 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.362 * [backup-simplify]: Simplify (+ 0 0) into 0
6.362 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.362 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.363 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
6.363 * [backup-simplify]: Simplify 0 into 0
6.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.365 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.365 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.367 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
6.367 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.368 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
6.368 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
6.368 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0
6.368 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
6.368 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.368 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.368 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.368 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.368 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.368 * [taylor]: Taking taylor expansion of -1 in im
6.368 * [backup-simplify]: Simplify -1 into -1
6.368 * [taylor]: Taking taylor expansion of re in im
6.368 * [backup-simplify]: Simplify re into re
6.368 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.368 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.368 * [taylor]: Taking taylor expansion of -1 in im
6.368 * [backup-simplify]: Simplify -1 into -1
6.368 * [taylor]: Taking taylor expansion of re in im
6.368 * [backup-simplify]: Simplify re into re
6.368 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.368 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.368 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.368 * [taylor]: Taking taylor expansion of -1 in im
6.368 * [backup-simplify]: Simplify -1 into -1
6.368 * [taylor]: Taking taylor expansion of im in im
6.368 * [backup-simplify]: Simplify 0 into 0
6.368 * [backup-simplify]: Simplify 1 into 1
6.369 * [backup-simplify]: Simplify (/ -1 1) into -1
6.369 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.369 * [taylor]: Taking taylor expansion of -1 in im
6.369 * [backup-simplify]: Simplify -1 into -1
6.369 * [taylor]: Taking taylor expansion of im in im
6.369 * [backup-simplify]: Simplify 0 into 0
6.369 * [backup-simplify]: Simplify 1 into 1
6.369 * [backup-simplify]: Simplify (/ -1 1) into -1
6.369 * [backup-simplify]: Simplify (* -1 -1) into 1
6.370 * [backup-simplify]: Simplify (+ 0 1) into 1
6.370 * [backup-simplify]: Simplify (sqrt 1) into 1
6.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.372 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.372 * [backup-simplify]: Simplify (+ 0 0) into 0
6.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.373 * [backup-simplify]: Simplify (sqrt 0) into 0
6.375 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.375 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.375 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.375 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.375 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.375 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.375 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.375 * [taylor]: Taking taylor expansion of -1 in re
6.375 * [backup-simplify]: Simplify -1 into -1
6.375 * [taylor]: Taking taylor expansion of re in re
6.375 * [backup-simplify]: Simplify 0 into 0
6.375 * [backup-simplify]: Simplify 1 into 1
6.376 * [backup-simplify]: Simplify (/ -1 1) into -1
6.376 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.376 * [taylor]: Taking taylor expansion of -1 in re
6.376 * [backup-simplify]: Simplify -1 into -1
6.376 * [taylor]: Taking taylor expansion of re in re
6.376 * [backup-simplify]: Simplify 0 into 0
6.376 * [backup-simplify]: Simplify 1 into 1
6.376 * [backup-simplify]: Simplify (/ -1 1) into -1
6.376 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.377 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.377 * [taylor]: Taking taylor expansion of -1 in re
6.377 * [backup-simplify]: Simplify -1 into -1
6.377 * [taylor]: Taking taylor expansion of im in re
6.377 * [backup-simplify]: Simplify im into im
6.377 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.377 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.377 * [taylor]: Taking taylor expansion of -1 in re
6.377 * [backup-simplify]: Simplify -1 into -1
6.377 * [taylor]: Taking taylor expansion of im in re
6.377 * [backup-simplify]: Simplify im into im
6.377 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.377 * [backup-simplify]: Simplify (* -1 -1) into 1
6.378 * [backup-simplify]: Simplify (+ 1 0) into 1
6.378 * [backup-simplify]: Simplify (sqrt 1) into 1
6.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.381 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.381 * [backup-simplify]: Simplify (+ 0 0) into 0
6.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.382 * [backup-simplify]: Simplify (sqrt 0) into 0
6.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.384 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.384 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.384 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.384 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.384 * [taylor]: Taking taylor expansion of -1 in re
6.384 * [backup-simplify]: Simplify -1 into -1
6.384 * [taylor]: Taking taylor expansion of re in re
6.384 * [backup-simplify]: Simplify 0 into 0
6.384 * [backup-simplify]: Simplify 1 into 1
6.385 * [backup-simplify]: Simplify (/ -1 1) into -1
6.385 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.385 * [taylor]: Taking taylor expansion of -1 in re
6.385 * [backup-simplify]: Simplify -1 into -1
6.385 * [taylor]: Taking taylor expansion of re in re
6.385 * [backup-simplify]: Simplify 0 into 0
6.385 * [backup-simplify]: Simplify 1 into 1
6.385 * [backup-simplify]: Simplify (/ -1 1) into -1
6.385 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.386 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.386 * [taylor]: Taking taylor expansion of -1 in re
6.386 * [backup-simplify]: Simplify -1 into -1
6.386 * [taylor]: Taking taylor expansion of im in re
6.386 * [backup-simplify]: Simplify im into im
6.386 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.386 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.386 * [taylor]: Taking taylor expansion of -1 in re
6.386 * [backup-simplify]: Simplify -1 into -1
6.386 * [taylor]: Taking taylor expansion of im in re
6.386 * [backup-simplify]: Simplify im into im
6.386 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.386 * [backup-simplify]: Simplify (* -1 -1) into 1
6.387 * [backup-simplify]: Simplify (+ 1 0) into 1
6.387 * [backup-simplify]: Simplify (sqrt 1) into 1
6.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.390 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.390 * [backup-simplify]: Simplify (+ 0 0) into 0
6.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.391 * [backup-simplify]: Simplify (sqrt 0) into 0
6.393 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.393 * [taylor]: Taking taylor expansion of 0 in im
6.393 * [backup-simplify]: Simplify 0 into 0
6.393 * [taylor]: Taking taylor expansion of +nan.0 in im
6.393 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.393 * [backup-simplify]: Simplify 0 into 0
6.396 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.396 * [taylor]: Taking taylor expansion of +nan.0 in im
6.396 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.396 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.396 * [backup-simplify]: Simplify 0 into 0
6.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.398 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.398 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.399 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.400 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.400 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
6.400 * [taylor]: Taking taylor expansion of +nan.0 in im
6.400 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.400 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
6.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.400 * [taylor]: Taking taylor expansion of 1/2 in im
6.400 * [backup-simplify]: Simplify 1/2 into 1/2
6.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.400 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.400 * [taylor]: Taking taylor expansion of im in im
6.400 * [backup-simplify]: Simplify 0 into 0
6.400 * [backup-simplify]: Simplify 1 into 1
6.401 * [backup-simplify]: Simplify (* 1 1) into 1
6.401 * [backup-simplify]: Simplify (/ 1 1) into 1
6.401 * [taylor]: Taking taylor expansion of +nan.0 in im
6.401 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.403 * [backup-simplify]: Simplify (+ 0 0) into 0
6.403 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.403 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.404 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
6.404 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.404 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.406 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.406 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.406 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.406 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.406 * [backup-simplify]: Simplify (+ 0 0) into 0
6.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.408 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.408 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.408 * [taylor]: Taking taylor expansion of +nan.0 in im
6.408 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.408 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.408 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.408 * [taylor]: Taking taylor expansion of +nan.0 in im
6.408 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.408 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.408 * [taylor]: Taking taylor expansion of im in im
6.408 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify 1 into 1
6.408 * [backup-simplify]: Simplify (* 1 1) into 1
6.409 * [backup-simplify]: Simplify (/ 1 1) into 1
6.409 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.409 * [taylor]: Taking taylor expansion of +nan.0 in im
6.409 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.410 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.410 * [backup-simplify]: Simplify (+ 0 0) into 0
6.410 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.411 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.411 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
6.411 * [backup-simplify]: Simplify 0 into 0
6.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.413 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.414 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.415 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
6.415 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.416 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
6.416 * * * [progress]: simplifying candidates
6.418 * [simplify]: Simplifying:
  (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (log (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (exp (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))))
  (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3))
  (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im))))))
  (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (- re (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (hypot re im) (hypot re im))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (hypot re im) (hypot re im))
  (+ 1 1)
  (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
  (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))
  (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 1 1)
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) 1)
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (expm1 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (log1p (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (log (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (exp (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (* (cbrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))) (cbrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))
  (cbrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (* (* (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)) (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))) (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3)) 2.0))
  (sqrt (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))
  (sqrt (* (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) 2.0))
  (sqrt (- re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (expm1 (sqrt (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt 1)
  (sqrt (hypot re im))
  (/ 1 2)
  (sqrt (sqrt (hypot re im)))
  (sqrt (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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2)))))))
  (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
6.420 * * [simplify]: Extracting # 0 : cost  0
6.420 * * [simplify]: Extracting # 1 : cost  0
6.420 * * [simplify]: Extracting # 2 : cost  0
6.420 * * [simplify]: Extracting # 3 : cost  0
6.421 * * [simplify]: Extracting # 4 : cost  0
6.421 * * [simplify]: Extracting # 5 : cost  0
6.421 * * [simplify]: Extracting # 6 : cost  0
6.421 * * [simplify]: Extracting # 7 : cost  0
6.421 * * [simplify]: Extracting # 8 : cost  0
6.421 * * [simplify]: Extracting # 9 : cost  0
6.422 * * [simplify]: Extracting # 10 : cost  0
6.422 * * [simplify]: Extracting # 11 : cost  0
6.422 * * [simplify]: Extracting # 12 : cost  0
6.422 * * [simplify]: Extracting # 13 : cost  0
6.422 * * [simplify]: iteration  0 :  143  enodes  (cost  1359 )
6.480 * * [simplify]: Extracting # 0 : cost  0
6.481 * * [simplify]: Extracting # 1 : cost  0
6.481 * * [simplify]: Extracting # 2 : cost  0
6.481 * * [simplify]: Extracting # 3 : cost  0
6.482 * * [simplify]: Extracting # 4 : cost  0
6.482 * * [simplify]: iteration  1 :  308  enodes  (cost  755 )
6.660 * * [simplify]: Extracting # 0 : cost  0
6.661 * * [simplify]: Extracting # 1 : cost  0
6.662 * * [simplify]: Extracting # 2 : cost  0
6.662 * * [simplify]: Extracting # 3 : cost  0
6.663 * * [simplify]: Extracting # 4 : cost  0
6.664 * * [simplify]: iteration  2 :  807  enodes  (cost  698 )
7.287 * * [simplify]: Extracting # 0 : cost  0
7.293 * * [simplify]: Extracting # 1 : cost  0
7.297 * * [simplify]: Extracting # 2 : cost  0
7.302 * * [simplify]: Extracting # 3 : cost  0
7.306 * * [simplify]: Extracting # 4 : cost  0
7.311 * * [simplify]: iteration  3 :  2369  enodes  (cost  668 )
9.333 * * [simplify]: Extracting # 0 : cost  0
9.340 * * [simplify]: Extracting # 1 : cost  0
9.345 * * [simplify]: Extracting # 2 : cost  0
9.351 * * [simplify]: Extracting # 3 : cost  0
9.361 * * [simplify]: Extracting # 4 : cost  0
9.371 * * [simplify]: iteration done:  5000  enodes  (cost  658 )
9.372 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (pow (sqrt (hypot re im)) 4))
  (- re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  2
  1
  1
  (pow (sqrt (hypot re im)) 4)
  (hypot re im)
  (pow (sqrt (hypot re im)) 4)
  2
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (pow (hypot re im) 3)
  (pow (sqrt (cbrt (hypot re im))) 4)
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (pow (sqrt (hypot re im)) 4)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (pow (cbrt (sqrt (hypot re im))) 4)
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (pow (sqrt (cbrt (hypot re im))) 4)
  (cbrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  2
  1
  (pow (cbrt (sqrt (hypot re im))) (+ 4 1))
  (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (pow (cbrt (sqrt (hypot re im))) 4)
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (hypot re im)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (hypot re im)
  (expm1 (sqrt (* 2.0 (+ (hypot re im) re))))
  (log1p (sqrt (* 2.0 (+ (hypot re im) re))))
  (log (sqrt (* 2.0 (+ (hypot re im) re))))
  (exp (sqrt (* 2.0 (+ (hypot re im) re))))
  (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))))
  (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))
  (pow (sqrt (* 2.0 (+ (hypot re im) re))) 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) (- (hypot re im) re))))
  (sqrt (* (- (* re re) (pow (sqrt (hypot re im)) 4)) 2.0))
  (sqrt (- re (hypot re im)))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (hypot re im) re))))
  (sqrt (sqrt (* 2.0 (+ (hypot re im) re))))
  (expm1 (sqrt (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (pow (sqrt (hypot re im)) 3)
  (fabs (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  1
  (sqrt (hypot re im))
  1/2
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (- re)
  (* (* (sqrt 2.0) +nan.0) (fma (- re) re (- im re)))
  (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)))
  0
  (* +nan.0 (- (fma re re (fma im im (- im)))))
  (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (* re re)))
  (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (* re re)))
9.373 * * * [progress]: adding candidates to table
9.714 * * [progress]: iteration 3 / 4
9.714 * * * [progress]: picking best candidate
9.782 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) 2.0))))>
9.782 * * * [progress]: localizing error
9.819 * * * [progress]: generating rewritten candidates
9.819 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
9.831 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2)
9.841 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2)
9.888 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2 1)
9.904 * * * [progress]: generating series expansions
9.904 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
9.905 * [backup-simplify]: Simplify (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) into (+ re (hypot re im))
9.905 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
9.905 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
9.905 * [taylor]: Taking taylor expansion of re in im
9.905 * [backup-simplify]: Simplify re into re
9.905 * [taylor]: Taking taylor expansion of (hypot re im) in im
9.905 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.905 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
9.905 * [taylor]: Taking taylor expansion of (* re re) in im
9.905 * [taylor]: Taking taylor expansion of re in im
9.905 * [backup-simplify]: Simplify re into re
9.905 * [taylor]: Taking taylor expansion of re in im
9.905 * [backup-simplify]: Simplify re into re
9.905 * [taylor]: Taking taylor expansion of (* im im) in im
9.905 * [taylor]: Taking taylor expansion of im in im
9.905 * [backup-simplify]: Simplify 0 into 0
9.905 * [backup-simplify]: Simplify 1 into 1
9.905 * [taylor]: Taking taylor expansion of im in im
9.905 * [backup-simplify]: Simplify 0 into 0
9.905 * [backup-simplify]: Simplify 1 into 1
9.905 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.906 * [backup-simplify]: Simplify (* 0 0) into 0
9.906 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.906 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.906 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.907 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.907 * [backup-simplify]: Simplify (+ 0 0) into 0
9.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.907 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
9.907 * [taylor]: Taking taylor expansion of re in re
9.907 * [backup-simplify]: Simplify 0 into 0
9.907 * [backup-simplify]: Simplify 1 into 1
9.907 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.907 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.907 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.907 * [taylor]: Taking taylor expansion of (* re re) in re
9.907 * [taylor]: Taking taylor expansion of re in re
9.907 * [backup-simplify]: Simplify 0 into 0
9.907 * [backup-simplify]: Simplify 1 into 1
9.907 * [taylor]: Taking taylor expansion of re in re
9.907 * [backup-simplify]: Simplify 0 into 0
9.907 * [backup-simplify]: Simplify 1 into 1
9.907 * [taylor]: Taking taylor expansion of (* im im) in re
9.907 * [taylor]: Taking taylor expansion of im in re
9.907 * [backup-simplify]: Simplify im into im
9.907 * [taylor]: Taking taylor expansion of im in re
9.907 * [backup-simplify]: Simplify im into im
9.908 * [backup-simplify]: Simplify (* 0 0) into 0
9.908 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.908 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.908 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.908 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.908 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.909 * [backup-simplify]: Simplify (+ 0 0) into 0
9.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.909 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
9.909 * [taylor]: Taking taylor expansion of re in re
9.909 * [backup-simplify]: Simplify 0 into 0
9.909 * [backup-simplify]: Simplify 1 into 1
9.909 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.909 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.909 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.909 * [taylor]: Taking taylor expansion of (* re re) in re
9.909 * [taylor]: Taking taylor expansion of re in re
9.909 * [backup-simplify]: Simplify 0 into 0
9.909 * [backup-simplify]: Simplify 1 into 1
9.909 * [taylor]: Taking taylor expansion of re in re
9.909 * [backup-simplify]: Simplify 0 into 0
9.909 * [backup-simplify]: Simplify 1 into 1
9.909 * [taylor]: Taking taylor expansion of (* im im) in re
9.909 * [taylor]: Taking taylor expansion of im in re
9.909 * [backup-simplify]: Simplify im into im
9.909 * [taylor]: Taking taylor expansion of im in re
9.909 * [backup-simplify]: Simplify im into im
9.909 * [backup-simplify]: Simplify (* 0 0) into 0
9.909 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.910 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.910 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.910 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.910 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.910 * [backup-simplify]: Simplify (+ 0 0) into 0
9.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.911 * [backup-simplify]: Simplify (+ 0 im) into im
9.911 * [taylor]: Taking taylor expansion of im in im
9.911 * [backup-simplify]: Simplify 0 into 0
9.911 * [backup-simplify]: Simplify 1 into 1
9.911 * [backup-simplify]: Simplify 0 into 0
9.911 * [backup-simplify]: Simplify (+ 1 0) into 1
9.911 * [taylor]: Taking taylor expansion of 1 in im
9.911 * [backup-simplify]: Simplify 1 into 1
9.911 * [backup-simplify]: Simplify 1 into 1
9.911 * [backup-simplify]: Simplify 1 into 1
9.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
9.912 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.912 * [backup-simplify]: Simplify (+ 1 0) into 1
9.913 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.913 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
9.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
9.913 * [taylor]: Taking taylor expansion of 1/2 in im
9.913 * [backup-simplify]: Simplify 1/2 into 1/2
9.913 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.913 * [taylor]: Taking taylor expansion of im in im
9.913 * [backup-simplify]: Simplify 0 into 0
9.913 * [backup-simplify]: Simplify 1 into 1
9.913 * [backup-simplify]: Simplify (/ 1 1) into 1
9.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.914 * [backup-simplify]: Simplify 0 into 0
9.914 * [backup-simplify]: Simplify 0 into 0
9.914 * [backup-simplify]: Simplify 0 into 0
9.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
9.915 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.915 * [backup-simplify]: Simplify (+ 0 0) into 0
9.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.916 * [backup-simplify]: Simplify (+ 0 0) into 0
9.916 * [taylor]: Taking taylor expansion of 0 in im
9.916 * [backup-simplify]: Simplify 0 into 0
9.916 * [backup-simplify]: Simplify 0 into 0
9.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.917 * [backup-simplify]: Simplify 0 into 0
9.917 * [backup-simplify]: Simplify 0 into 0
9.917 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
9.917 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
9.917 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
9.918 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
9.918 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
9.918 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.918 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
9.918 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
9.918 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.918 * [taylor]: Taking taylor expansion of re in im
9.918 * [backup-simplify]: Simplify re into re
9.918 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.918 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.918 * [taylor]: Taking taylor expansion of re in im
9.918 * [backup-simplify]: Simplify re into re
9.918 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.918 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
9.918 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.918 * [taylor]: Taking taylor expansion of im in im
9.918 * [backup-simplify]: Simplify 0 into 0
9.918 * [backup-simplify]: Simplify 1 into 1
9.918 * [backup-simplify]: Simplify (/ 1 1) into 1
9.918 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.918 * [taylor]: Taking taylor expansion of im in im
9.918 * [backup-simplify]: Simplify 0 into 0
9.918 * [backup-simplify]: Simplify 1 into 1
9.918 * [backup-simplify]: Simplify (/ 1 1) into 1
9.919 * [backup-simplify]: Simplify (* 1 1) into 1
9.919 * [backup-simplify]: Simplify (+ 0 1) into 1
9.919 * [backup-simplify]: Simplify (sqrt 1) into 1
9.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.921 * [backup-simplify]: Simplify (+ 0 0) into 0
9.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.921 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.921 * [taylor]: Taking taylor expansion of re in im
9.921 * [backup-simplify]: Simplify re into re
9.921 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.922 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
9.922 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.922 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.922 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.922 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.922 * [taylor]: Taking taylor expansion of re in re
9.922 * [backup-simplify]: Simplify 0 into 0
9.922 * [backup-simplify]: Simplify 1 into 1
9.922 * [backup-simplify]: Simplify (/ 1 1) into 1
9.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.922 * [taylor]: Taking taylor expansion of re in re
9.922 * [backup-simplify]: Simplify 0 into 0
9.922 * [backup-simplify]: Simplify 1 into 1
9.922 * [backup-simplify]: Simplify (/ 1 1) into 1
9.922 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.922 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.922 * [taylor]: Taking taylor expansion of im in re
9.922 * [backup-simplify]: Simplify im into im
9.922 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.922 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.922 * [taylor]: Taking taylor expansion of im in re
9.923 * [backup-simplify]: Simplify im into im
9.923 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.923 * [backup-simplify]: Simplify (* 1 1) into 1
9.923 * [backup-simplify]: Simplify (+ 1 0) into 1
9.923 * [backup-simplify]: Simplify (sqrt 1) into 1
9.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.925 * [backup-simplify]: Simplify (+ 0 0) into 0
9.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.925 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.925 * [taylor]: Taking taylor expansion of re in re
9.925 * [backup-simplify]: Simplify 0 into 0
9.925 * [backup-simplify]: Simplify 1 into 1
9.926 * [backup-simplify]: Simplify (/ 1 1) into 1
9.926 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
9.926 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.926 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.926 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.926 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.926 * [taylor]: Taking taylor expansion of re in re
9.926 * [backup-simplify]: Simplify 0 into 0
9.926 * [backup-simplify]: Simplify 1 into 1
9.926 * [backup-simplify]: Simplify (/ 1 1) into 1
9.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.926 * [taylor]: Taking taylor expansion of re in re
9.926 * [backup-simplify]: Simplify 0 into 0
9.926 * [backup-simplify]: Simplify 1 into 1
9.926 * [backup-simplify]: Simplify (/ 1 1) into 1
9.926 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.926 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.926 * [taylor]: Taking taylor expansion of im in re
9.927 * [backup-simplify]: Simplify im into im
9.927 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.927 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.927 * [taylor]: Taking taylor expansion of im in re
9.927 * [backup-simplify]: Simplify im into im
9.927 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.927 * [backup-simplify]: Simplify (* 1 1) into 1
9.927 * [backup-simplify]: Simplify (+ 1 0) into 1
9.927 * [backup-simplify]: Simplify (sqrt 1) into 1
9.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.929 * [backup-simplify]: Simplify (+ 0 0) into 0
9.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.929 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.929 * [taylor]: Taking taylor expansion of re in re
9.929 * [backup-simplify]: Simplify 0 into 0
9.929 * [backup-simplify]: Simplify 1 into 1
9.930 * [backup-simplify]: Simplify (/ 1 1) into 1
9.930 * [backup-simplify]: Simplify (+ 1 1) into 2
9.930 * [taylor]: Taking taylor expansion of 2 in im
9.930 * [backup-simplify]: Simplify 2 into 2
9.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.931 * [backup-simplify]: Simplify (+ 0 0) into 0
9.931 * [taylor]: Taking taylor expansion of 0 in im
9.931 * [backup-simplify]: Simplify 0 into 0
9.931 * [backup-simplify]: Simplify 2 into 2
9.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.932 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
9.933 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.934 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.934 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
9.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
9.934 * [taylor]: Taking taylor expansion of 1/2 in im
9.934 * [backup-simplify]: Simplify 1/2 into 1/2
9.934 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.934 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.934 * [taylor]: Taking taylor expansion of im in im
9.934 * [backup-simplify]: Simplify 0 into 0
9.934 * [backup-simplify]: Simplify 1 into 1
9.935 * [backup-simplify]: Simplify (* 1 1) into 1
9.935 * [backup-simplify]: Simplify (/ 1 1) into 1
9.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.937 * [backup-simplify]: Simplify 0 into 0
9.937 * [backup-simplify]: Simplify 0 into 0
9.937 * [backup-simplify]: Simplify 0 into 0
9.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
9.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
9.940 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
9.941 * [backup-simplify]: Simplify (+ 0 0) into 0
9.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.943 * [backup-simplify]: Simplify (+ 0 0) into 0
9.943 * [taylor]: Taking taylor expansion of 0 in im
9.943 * [backup-simplify]: Simplify 0 into 0
9.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.946 * [backup-simplify]: Simplify 0 into 0
9.946 * [backup-simplify]: Simplify 0 into 0
9.946 * [backup-simplify]: Simplify 0 into 0
9.946 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
9.947 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
9.947 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
9.947 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
9.947 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
9.947 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.947 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
9.947 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
9.947 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.947 * [taylor]: Taking taylor expansion of -1 in im
9.947 * [backup-simplify]: Simplify -1 into -1
9.948 * [taylor]: Taking taylor expansion of re in im
9.948 * [backup-simplify]: Simplify re into re
9.948 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.948 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.948 * [taylor]: Taking taylor expansion of -1 in im
9.948 * [backup-simplify]: Simplify -1 into -1
9.948 * [taylor]: Taking taylor expansion of re in im
9.948 * [backup-simplify]: Simplify re into re
9.948 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.948 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
9.948 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.948 * [taylor]: Taking taylor expansion of -1 in im
9.948 * [backup-simplify]: Simplify -1 into -1
9.948 * [taylor]: Taking taylor expansion of im in im
9.948 * [backup-simplify]: Simplify 0 into 0
9.948 * [backup-simplify]: Simplify 1 into 1
9.955 * [backup-simplify]: Simplify (/ -1 1) into -1
9.955 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.955 * [taylor]: Taking taylor expansion of -1 in im
9.955 * [backup-simplify]: Simplify -1 into -1
9.955 * [taylor]: Taking taylor expansion of im in im
9.955 * [backup-simplify]: Simplify 0 into 0
9.955 * [backup-simplify]: Simplify 1 into 1
9.955 * [backup-simplify]: Simplify (/ -1 1) into -1
9.956 * [backup-simplify]: Simplify (* -1 -1) into 1
9.956 * [backup-simplify]: Simplify (+ 0 1) into 1
9.956 * [backup-simplify]: Simplify (sqrt 1) into 1
9.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.958 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.958 * [backup-simplify]: Simplify (+ 0 0) into 0
9.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.958 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.958 * [taylor]: Taking taylor expansion of re in im
9.959 * [backup-simplify]: Simplify re into re
9.959 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.959 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
9.959 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.959 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.959 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.959 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.959 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.959 * [taylor]: Taking taylor expansion of -1 in re
9.959 * [backup-simplify]: Simplify -1 into -1
9.959 * [taylor]: Taking taylor expansion of re in re
9.959 * [backup-simplify]: Simplify 0 into 0
9.959 * [backup-simplify]: Simplify 1 into 1
9.959 * [backup-simplify]: Simplify (/ -1 1) into -1
9.959 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.959 * [taylor]: Taking taylor expansion of -1 in re
9.959 * [backup-simplify]: Simplify -1 into -1
9.959 * [taylor]: Taking taylor expansion of re in re
9.959 * [backup-simplify]: Simplify 0 into 0
9.959 * [backup-simplify]: Simplify 1 into 1
9.960 * [backup-simplify]: Simplify (/ -1 1) into -1
9.960 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.960 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.960 * [taylor]: Taking taylor expansion of -1 in re
9.960 * [backup-simplify]: Simplify -1 into -1
9.960 * [taylor]: Taking taylor expansion of im in re
9.960 * [backup-simplify]: Simplify im into im
9.960 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.960 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.960 * [taylor]: Taking taylor expansion of -1 in re
9.960 * [backup-simplify]: Simplify -1 into -1
9.960 * [taylor]: Taking taylor expansion of im in re
9.960 * [backup-simplify]: Simplify im into im
9.960 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.960 * [backup-simplify]: Simplify (* -1 -1) into 1
9.960 * [backup-simplify]: Simplify (+ 1 0) into 1
9.961 * [backup-simplify]: Simplify (sqrt 1) into 1
9.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.962 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.962 * [backup-simplify]: Simplify (+ 0 0) into 0
9.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.963 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.963 * [taylor]: Taking taylor expansion of re in re
9.963 * [backup-simplify]: Simplify 0 into 0
9.963 * [backup-simplify]: Simplify 1 into 1
9.963 * [backup-simplify]: Simplify (/ 1 1) into 1
9.963 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
9.963 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.963 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.963 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.963 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.963 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.963 * [taylor]: Taking taylor expansion of -1 in re
9.963 * [backup-simplify]: Simplify -1 into -1
9.963 * [taylor]: Taking taylor expansion of re in re
9.963 * [backup-simplify]: Simplify 0 into 0
9.963 * [backup-simplify]: Simplify 1 into 1
9.964 * [backup-simplify]: Simplify (/ -1 1) into -1
9.964 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.964 * [taylor]: Taking taylor expansion of -1 in re
9.964 * [backup-simplify]: Simplify -1 into -1
9.964 * [taylor]: Taking taylor expansion of re in re
9.964 * [backup-simplify]: Simplify 0 into 0
9.964 * [backup-simplify]: Simplify 1 into 1
9.964 * [backup-simplify]: Simplify (/ -1 1) into -1
9.964 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.964 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.964 * [taylor]: Taking taylor expansion of -1 in re
9.964 * [backup-simplify]: Simplify -1 into -1
9.964 * [taylor]: Taking taylor expansion of im in re
9.964 * [backup-simplify]: Simplify im into im
9.964 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.964 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.964 * [taylor]: Taking taylor expansion of -1 in re
9.964 * [backup-simplify]: Simplify -1 into -1
9.964 * [taylor]: Taking taylor expansion of im in re
9.964 * [backup-simplify]: Simplify im into im
9.964 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.965 * [backup-simplify]: Simplify (* -1 -1) into 1
9.965 * [backup-simplify]: Simplify (+ 1 0) into 1
9.965 * [backup-simplify]: Simplify (sqrt 1) into 1
9.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.966 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.967 * [backup-simplify]: Simplify (+ 0 0) into 0
9.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.967 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.967 * [taylor]: Taking taylor expansion of re in re
9.967 * [backup-simplify]: Simplify 0 into 0
9.967 * [backup-simplify]: Simplify 1 into 1
9.967 * [backup-simplify]: Simplify (/ 1 1) into 1
9.968 * [backup-simplify]: Simplify (- 1) into -1
9.968 * [backup-simplify]: Simplify (+ 1 -1) into 0
9.968 * [taylor]: Taking taylor expansion of 0 in im
9.968 * [backup-simplify]: Simplify 0 into 0
9.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.969 * [backup-simplify]: Simplify (- 0) into 0
9.969 * [backup-simplify]: Simplify (+ 0 0) into 0
9.969 * [taylor]: Taking taylor expansion of 0 in im
9.969 * [backup-simplify]: Simplify 0 into 0
9.969 * [backup-simplify]: Simplify 0 into 0
9.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.971 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.971 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
9.971 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.972 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.973 * [backup-simplify]: Simplify (- 0) into 0
9.973 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
9.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
9.973 * [taylor]: Taking taylor expansion of 1/2 in im
9.973 * [backup-simplify]: Simplify 1/2 into 1/2
9.973 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.973 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.973 * [taylor]: Taking taylor expansion of im in im
9.973 * [backup-simplify]: Simplify 0 into 0
9.973 * [backup-simplify]: Simplify 1 into 1
9.973 * [backup-simplify]: Simplify (* 1 1) into 1
9.973 * [backup-simplify]: Simplify (/ 1 1) into 1
9.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.975 * [backup-simplify]: Simplify 0 into 0
9.975 * [backup-simplify]: Simplify 0 into 0
9.975 * [backup-simplify]: Simplify 0 into 0
9.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.976 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
9.977 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.977 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.977 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
9.977 * [backup-simplify]: Simplify (+ 0 0) into 0
9.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.978 * [backup-simplify]: Simplify (- 0) into 0
9.978 * [backup-simplify]: Simplify (+ 0 0) into 0
9.978 * [taylor]: Taking taylor expansion of 0 in im
9.978 * [backup-simplify]: Simplify 0 into 0
9.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.980 * [backup-simplify]: Simplify 0 into 0
9.980 * [backup-simplify]: Simplify 0 into 0
9.980 * [backup-simplify]: Simplify 0 into 0
9.980 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2)
9.980 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot re im))) 3) into (pow (pow (hypot re im) 1/4) 3)
9.980 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in (re im) around 0
9.980 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in im
9.981 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im
9.981 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im
9.981 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im
9.981 * [taylor]: Taking taylor expansion of 1/4 in im
9.981 * [backup-simplify]: Simplify 1/4 into 1/4
9.981 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
9.981 * [taylor]: Taking taylor expansion of (hypot re im) in im
9.981 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.981 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
9.981 * [taylor]: Taking taylor expansion of (* re re) in im
9.981 * [taylor]: Taking taylor expansion of re in im
9.981 * [backup-simplify]: Simplify re into re
9.981 * [taylor]: Taking taylor expansion of re in im
9.981 * [backup-simplify]: Simplify re into re
9.981 * [taylor]: Taking taylor expansion of (* im im) in im
9.981 * [taylor]: Taking taylor expansion of im in im
9.981 * [backup-simplify]: Simplify 0 into 0
9.981 * [backup-simplify]: Simplify 1 into 1
9.981 * [taylor]: Taking taylor expansion of im in im
9.981 * [backup-simplify]: Simplify 0 into 0
9.981 * [backup-simplify]: Simplify 1 into 1
9.981 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.981 * [backup-simplify]: Simplify (* 0 0) into 0
9.981 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.981 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.981 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.982 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.982 * [backup-simplify]: Simplify (+ 0 0) into 0
9.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.982 * [backup-simplify]: Simplify (log re) into (log re)
9.982 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re))
9.982 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4)
9.982 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re
9.982 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
9.982 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
9.982 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
9.983 * [taylor]: Taking taylor expansion of 1/4 in re
9.983 * [backup-simplify]: Simplify 1/4 into 1/4
9.983 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
9.983 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.983 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.983 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.983 * [taylor]: Taking taylor expansion of (* re re) in re
9.983 * [taylor]: Taking taylor expansion of re in re
9.983 * [backup-simplify]: Simplify 0 into 0
9.983 * [backup-simplify]: Simplify 1 into 1
9.983 * [taylor]: Taking taylor expansion of re in re
9.983 * [backup-simplify]: Simplify 0 into 0
9.983 * [backup-simplify]: Simplify 1 into 1
9.983 * [taylor]: Taking taylor expansion of (* im im) in re
9.983 * [taylor]: Taking taylor expansion of im in re
9.983 * [backup-simplify]: Simplify im into im
9.983 * [taylor]: Taking taylor expansion of im in re
9.983 * [backup-simplify]: Simplify im into im
9.983 * [backup-simplify]: Simplify (* 0 0) into 0
9.983 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.983 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.984 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.984 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.984 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.985 * [backup-simplify]: Simplify (+ 0 0) into 0
9.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.985 * [backup-simplify]: Simplify (log im) into (log im)
9.985 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
9.985 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
9.985 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re
9.985 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
9.985 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
9.985 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
9.985 * [taylor]: Taking taylor expansion of 1/4 in re
9.985 * [backup-simplify]: Simplify 1/4 into 1/4
9.985 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
9.985 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.986 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.986 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.986 * [taylor]: Taking taylor expansion of (* re re) in re
9.986 * [taylor]: Taking taylor expansion of re in re
9.986 * [backup-simplify]: Simplify 0 into 0
9.986 * [backup-simplify]: Simplify 1 into 1
9.986 * [taylor]: Taking taylor expansion of re in re
9.986 * [backup-simplify]: Simplify 0 into 0
9.986 * [backup-simplify]: Simplify 1 into 1
9.986 * [taylor]: Taking taylor expansion of (* im im) in re
9.986 * [taylor]: Taking taylor expansion of im in re
9.986 * [backup-simplify]: Simplify im into im
9.986 * [taylor]: Taking taylor expansion of im in re
9.986 * [backup-simplify]: Simplify im into im
9.986 * [backup-simplify]: Simplify (* 0 0) into 0
9.986 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.987 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.987 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.987 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.987 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.988 * [backup-simplify]: Simplify (+ 0 0) into 0
9.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.988 * [backup-simplify]: Simplify (log im) into (log im)
9.988 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
9.988 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
9.988 * [backup-simplify]: Simplify (* (pow im 1/4) (pow im 1/4)) into (sqrt im)
9.988 * [backup-simplify]: Simplify (* (pow im 1/4) (sqrt im)) into (pow (pow im 3) 1/4)
9.988 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im
9.988 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
9.988 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im
9.988 * [taylor]: Taking taylor expansion of 1/4 in im
9.988 * [backup-simplify]: Simplify 1/4 into 1/4
9.988 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im
9.988 * [taylor]: Taking taylor expansion of (pow im 3) in im
9.988 * [taylor]: Taking taylor expansion of im in im
9.988 * [backup-simplify]: Simplify 0 into 0
9.988 * [backup-simplify]: Simplify 1 into 1
9.989 * [backup-simplify]: Simplify (* 1 1) into 1
9.989 * [backup-simplify]: Simplify (* 1 1) into 1
9.989 * [backup-simplify]: Simplify (log 1) into 0
9.989 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
9.989 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im))
9.990 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4)
9.990 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4)
9.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
9.991 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0
9.991 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
9.991 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (pow im 1/4))) into 0
9.991 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (sqrt im))) into 0
9.991 * [taylor]: Taking taylor expansion of 0 in im
9.991 * [backup-simplify]: Simplify 0 into 0
9.991 * [backup-simplify]: Simplify 0 into 0
9.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.993 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
9.994 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
9.994 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
9.994 * [backup-simplify]: Simplify 0 into 0
9.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
9.995 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.996 * [backup-simplify]: Simplify (+ 1 0) into 1
9.996 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.997 * [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))
9.997 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2)))
9.998 * [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))
9.999 * [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))))
10.000 * [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))
10.000 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
10.000 * [taylor]: Taking taylor expansion of 3/8 in im
10.000 * [backup-simplify]: Simplify 3/8 into 3/8
10.000 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
10.000 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
10.000 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im
10.000 * [taylor]: Taking taylor expansion of 1/4 in im
10.000 * [backup-simplify]: Simplify 1/4 into 1/4
10.000 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
10.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
10.000 * [taylor]: Taking taylor expansion of (pow im 5) in im
10.000 * [taylor]: Taking taylor expansion of im in im
10.000 * [backup-simplify]: Simplify 0 into 0
10.000 * [backup-simplify]: Simplify 1 into 1
10.000 * [backup-simplify]: Simplify (* 1 1) into 1
10.000 * [backup-simplify]: Simplify (* 1 1) into 1
10.001 * [backup-simplify]: Simplify (* 1 1) into 1
10.001 * [backup-simplify]: Simplify (/ 1 1) into 1
10.001 * [backup-simplify]: Simplify (log 1) into 0
10.001 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
10.001 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
10.001 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
10.002 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
10.002 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
10.002 * [backup-simplify]: Simplify 0 into 0
10.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.005 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
10.005 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
10.006 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
10.006 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.006 * [backup-simplify]: Simplify 0 into 0
10.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.008 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.008 * [backup-simplify]: Simplify (+ 0 0) into 0
10.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.010 * [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
10.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
10.012 * [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
10.013 * [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
10.014 * [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
10.014 * [taylor]: Taking taylor expansion of 0 in im
10.014 * [backup-simplify]: Simplify 0 into 0
10.014 * [backup-simplify]: Simplify 0 into 0
10.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.019 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
10.019 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
10.020 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
10.021 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
10.021 * [backup-simplify]: Simplify 0 into 0
10.021 * [backup-simplify]: Simplify 0 into 0
10.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.029 * [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
10.030 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
10.031 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
10.033 * [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
10.033 * [backup-simplify]: Simplify 0 into 0
10.033 * [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))))
10.034 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3)
10.034 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in (re im) around 0
10.034 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in im
10.034 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im
10.034 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im
10.034 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im
10.034 * [taylor]: Taking taylor expansion of 1/4 in im
10.034 * [backup-simplify]: Simplify 1/4 into 1/4
10.034 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
10.034 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.034 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.034 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.034 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.034 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.034 * [taylor]: Taking taylor expansion of re in im
10.034 * [backup-simplify]: Simplify re into re
10.034 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.034 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.035 * [taylor]: Taking taylor expansion of re in im
10.035 * [backup-simplify]: Simplify re into re
10.035 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.035 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.035 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.035 * [taylor]: Taking taylor expansion of im in im
10.035 * [backup-simplify]: Simplify 0 into 0
10.035 * [backup-simplify]: Simplify 1 into 1
10.035 * [backup-simplify]: Simplify (/ 1 1) into 1
10.035 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.035 * [taylor]: Taking taylor expansion of im in im
10.035 * [backup-simplify]: Simplify 0 into 0
10.035 * [backup-simplify]: Simplify 1 into 1
10.036 * [backup-simplify]: Simplify (/ 1 1) into 1
10.036 * [backup-simplify]: Simplify (* 1 1) into 1
10.037 * [backup-simplify]: Simplify (+ 0 1) into 1
10.037 * [backup-simplify]: Simplify (sqrt 1) into 1
10.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.040 * [backup-simplify]: Simplify (+ 0 0) into 0
10.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.041 * [backup-simplify]: Simplify (log 1) into 0
10.041 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
10.041 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
10.041 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
10.041 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re
10.041 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
10.041 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
10.042 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
10.042 * [taylor]: Taking taylor expansion of 1/4 in re
10.042 * [backup-simplify]: Simplify 1/4 into 1/4
10.042 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
10.042 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.042 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.042 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.042 * [taylor]: Taking taylor expansion of re in re
10.042 * [backup-simplify]: Simplify 0 into 0
10.042 * [backup-simplify]: Simplify 1 into 1
10.042 * [backup-simplify]: Simplify (/ 1 1) into 1
10.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.043 * [taylor]: Taking taylor expansion of re in re
10.043 * [backup-simplify]: Simplify 0 into 0
10.043 * [backup-simplify]: Simplify 1 into 1
10.043 * [backup-simplify]: Simplify (/ 1 1) into 1
10.043 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.043 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.043 * [taylor]: Taking taylor expansion of im in re
10.043 * [backup-simplify]: Simplify im into im
10.043 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.043 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.043 * [taylor]: Taking taylor expansion of im in re
10.043 * [backup-simplify]: Simplify im into im
10.043 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.044 * [backup-simplify]: Simplify (* 1 1) into 1
10.044 * [backup-simplify]: Simplify (+ 1 0) into 1
10.045 * [backup-simplify]: Simplify (sqrt 1) into 1
10.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.047 * [backup-simplify]: Simplify (+ 0 0) into 0
10.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.048 * [backup-simplify]: Simplify (log 1) into 0
10.049 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.049 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
10.049 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
10.049 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re
10.049 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
10.049 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
10.049 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
10.049 * [taylor]: Taking taylor expansion of 1/4 in re
10.049 * [backup-simplify]: Simplify 1/4 into 1/4
10.049 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
10.049 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.049 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.049 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.049 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.050 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.050 * [taylor]: Taking taylor expansion of re in re
10.050 * [backup-simplify]: Simplify 0 into 0
10.050 * [backup-simplify]: Simplify 1 into 1
10.050 * [backup-simplify]: Simplify (/ 1 1) into 1
10.050 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.050 * [taylor]: Taking taylor expansion of re in re
10.050 * [backup-simplify]: Simplify 0 into 0
10.050 * [backup-simplify]: Simplify 1 into 1
10.050 * [backup-simplify]: Simplify (/ 1 1) into 1
10.050 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.051 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.051 * [taylor]: Taking taylor expansion of im in re
10.051 * [backup-simplify]: Simplify im into im
10.051 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.051 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.051 * [taylor]: Taking taylor expansion of im in re
10.051 * [backup-simplify]: Simplify im into im
10.051 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.051 * [backup-simplify]: Simplify (* 1 1) into 1
10.052 * [backup-simplify]: Simplify (+ 1 0) into 1
10.052 * [backup-simplify]: Simplify (sqrt 1) into 1
10.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.055 * [backup-simplify]: Simplify (+ 0 0) into 0
10.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.056 * [backup-simplify]: Simplify (log 1) into 0
10.057 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.057 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
10.057 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
10.057 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
10.057 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
10.057 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
10.057 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
10.057 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
10.057 * [taylor]: Taking taylor expansion of 1/4 in im
10.058 * [backup-simplify]: Simplify 1/4 into 1/4
10.058 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
10.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
10.058 * [taylor]: Taking taylor expansion of (pow re 3) in im
10.058 * [taylor]: Taking taylor expansion of re in im
10.058 * [backup-simplify]: Simplify re into re
10.058 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.058 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
10.058 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
10.058 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
10.058 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
10.059 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
10.059 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
10.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.061 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.062 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
10.062 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
10.063 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
10.063 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
10.063 * [taylor]: Taking taylor expansion of 0 in im
10.063 * [backup-simplify]: Simplify 0 into 0
10.063 * [backup-simplify]: Simplify 0 into 0
10.063 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.063 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
10.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
10.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
10.065 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
10.066 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.066 * [backup-simplify]: Simplify 0 into 0
10.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.069 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.070 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.071 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.073 * [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))
10.074 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.075 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
10.076 * [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))))
10.077 * [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))))
10.079 * [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))))
10.079 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
10.079 * [taylor]: Taking taylor expansion of 3/8 in im
10.079 * [backup-simplify]: Simplify 3/8 into 3/8
10.079 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
10.079 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
10.079 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
10.079 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
10.079 * [taylor]: Taking taylor expansion of 1/4 in im
10.079 * [backup-simplify]: Simplify 1/4 into 1/4
10.079 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
10.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
10.080 * [taylor]: Taking taylor expansion of (pow re 3) in im
10.080 * [taylor]: Taking taylor expansion of re in im
10.080 * [backup-simplify]: Simplify re into re
10.080 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.080 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
10.080 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
10.080 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
10.080 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
10.081 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
10.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.081 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.081 * [taylor]: Taking taylor expansion of im in im
10.081 * [backup-simplify]: Simplify 0 into 0
10.081 * [backup-simplify]: Simplify 1 into 1
10.086 * [backup-simplify]: Simplify (* 1 1) into 1
10.087 * [backup-simplify]: Simplify (/ 1 1) into 1
10.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.091 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.091 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
10.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
10.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
10.093 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
10.094 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.095 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
10.095 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
10.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
10.098 * [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
10.099 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
10.100 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.101 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
10.102 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
10.103 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
10.104 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
10.104 * [backup-simplify]: Simplify 0 into 0
10.104 * [backup-simplify]: Simplify 0 into 0
10.105 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
10.105 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
10.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
10.108 * [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
10.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
10.111 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.111 * [backup-simplify]: Simplify 0 into 0
10.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.114 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.115 * [backup-simplify]: Simplify (+ 0 0) into 0
10.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.119 * [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
10.120 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
10.122 * [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
10.123 * [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
10.123 * [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
10.123 * [taylor]: Taking taylor expansion of 0 in im
10.123 * [backup-simplify]: Simplify 0 into 0
10.123 * [backup-simplify]: Simplify 0 into 0
10.123 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4)
10.124 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3)
10.124 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in (re im) around 0
10.124 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in im
10.124 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im
10.124 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im
10.124 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im
10.124 * [taylor]: Taking taylor expansion of 1/4 in im
10.124 * [backup-simplify]: Simplify 1/4 into 1/4
10.124 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
10.124 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.124 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.124 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.124 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.124 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.124 * [taylor]: Taking taylor expansion of -1 in im
10.124 * [backup-simplify]: Simplify -1 into -1
10.124 * [taylor]: Taking taylor expansion of re in im
10.124 * [backup-simplify]: Simplify re into re
10.124 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.124 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.124 * [taylor]: Taking taylor expansion of -1 in im
10.124 * [backup-simplify]: Simplify -1 into -1
10.124 * [taylor]: Taking taylor expansion of re in im
10.124 * [backup-simplify]: Simplify re into re
10.124 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.124 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.124 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.124 * [taylor]: Taking taylor expansion of -1 in im
10.124 * [backup-simplify]: Simplify -1 into -1
10.124 * [taylor]: Taking taylor expansion of im in im
10.124 * [backup-simplify]: Simplify 0 into 0
10.124 * [backup-simplify]: Simplify 1 into 1
10.125 * [backup-simplify]: Simplify (/ -1 1) into -1
10.125 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.125 * [taylor]: Taking taylor expansion of -1 in im
10.125 * [backup-simplify]: Simplify -1 into -1
10.125 * [taylor]: Taking taylor expansion of im in im
10.125 * [backup-simplify]: Simplify 0 into 0
10.125 * [backup-simplify]: Simplify 1 into 1
10.125 * [backup-simplify]: Simplify (/ -1 1) into -1
10.125 * [backup-simplify]: Simplify (* -1 -1) into 1
10.126 * [backup-simplify]: Simplify (+ 0 1) into 1
10.126 * [backup-simplify]: Simplify (sqrt 1) into 1
10.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.127 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.127 * [backup-simplify]: Simplify (+ 0 0) into 0
10.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.128 * [backup-simplify]: Simplify (log 1) into 0
10.128 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
10.129 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
10.129 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
10.129 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re
10.129 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
10.129 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
10.129 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
10.129 * [taylor]: Taking taylor expansion of 1/4 in re
10.129 * [backup-simplify]: Simplify 1/4 into 1/4
10.129 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
10.129 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.129 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.129 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.129 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.129 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.129 * [taylor]: Taking taylor expansion of -1 in re
10.129 * [backup-simplify]: Simplify -1 into -1
10.129 * [taylor]: Taking taylor expansion of re in re
10.129 * [backup-simplify]: Simplify 0 into 0
10.129 * [backup-simplify]: Simplify 1 into 1
10.129 * [backup-simplify]: Simplify (/ -1 1) into -1
10.129 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.129 * [taylor]: Taking taylor expansion of -1 in re
10.129 * [backup-simplify]: Simplify -1 into -1
10.129 * [taylor]: Taking taylor expansion of re in re
10.129 * [backup-simplify]: Simplify 0 into 0
10.129 * [backup-simplify]: Simplify 1 into 1
10.130 * [backup-simplify]: Simplify (/ -1 1) into -1
10.130 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.130 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.130 * [taylor]: Taking taylor expansion of -1 in re
10.130 * [backup-simplify]: Simplify -1 into -1
10.130 * [taylor]: Taking taylor expansion of im in re
10.130 * [backup-simplify]: Simplify im into im
10.130 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.130 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.130 * [taylor]: Taking taylor expansion of -1 in re
10.130 * [backup-simplify]: Simplify -1 into -1
10.130 * [taylor]: Taking taylor expansion of im in re
10.130 * [backup-simplify]: Simplify im into im
10.130 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.130 * [backup-simplify]: Simplify (* -1 -1) into 1
10.130 * [backup-simplify]: Simplify (+ 1 0) into 1
10.131 * [backup-simplify]: Simplify (sqrt 1) into 1
10.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.132 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.132 * [backup-simplify]: Simplify (+ 0 0) into 0
10.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.133 * [backup-simplify]: Simplify (log 1) into 0
10.133 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.133 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
10.134 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
10.134 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re
10.134 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
10.134 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
10.134 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
10.134 * [taylor]: Taking taylor expansion of 1/4 in re
10.134 * [backup-simplify]: Simplify 1/4 into 1/4
10.134 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
10.134 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.134 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.134 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.134 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.134 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.134 * [taylor]: Taking taylor expansion of -1 in re
10.134 * [backup-simplify]: Simplify -1 into -1
10.134 * [taylor]: Taking taylor expansion of re in re
10.134 * [backup-simplify]: Simplify 0 into 0
10.134 * [backup-simplify]: Simplify 1 into 1
10.134 * [backup-simplify]: Simplify (/ -1 1) into -1
10.134 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.134 * [taylor]: Taking taylor expansion of -1 in re
10.134 * [backup-simplify]: Simplify -1 into -1
10.134 * [taylor]: Taking taylor expansion of re in re
10.134 * [backup-simplify]: Simplify 0 into 0
10.134 * [backup-simplify]: Simplify 1 into 1
10.135 * [backup-simplify]: Simplify (/ -1 1) into -1
10.135 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.135 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.135 * [taylor]: Taking taylor expansion of -1 in re
10.135 * [backup-simplify]: Simplify -1 into -1
10.135 * [taylor]: Taking taylor expansion of im in re
10.135 * [backup-simplify]: Simplify im into im
10.135 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.135 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.135 * [taylor]: Taking taylor expansion of -1 in re
10.135 * [backup-simplify]: Simplify -1 into -1
10.135 * [taylor]: Taking taylor expansion of im in re
10.135 * [backup-simplify]: Simplify im into im
10.135 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.135 * [backup-simplify]: Simplify (* -1 -1) into 1
10.135 * [backup-simplify]: Simplify (+ 1 0) into 1
10.136 * [backup-simplify]: Simplify (sqrt 1) into 1
10.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.137 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.137 * [backup-simplify]: Simplify (+ 0 0) into 0
10.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.138 * [backup-simplify]: Simplify (log 1) into 0
10.138 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.138 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
10.138 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
10.139 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
10.139 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
10.139 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
10.139 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
10.139 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
10.139 * [taylor]: Taking taylor expansion of 1/4 in im
10.139 * [backup-simplify]: Simplify 1/4 into 1/4
10.139 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
10.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
10.139 * [taylor]: Taking taylor expansion of (pow re 3) in im
10.139 * [taylor]: Taking taylor expansion of re in im
10.139 * [backup-simplify]: Simplify re into re
10.139 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.139 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
10.139 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
10.139 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
10.139 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
10.140 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
10.140 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
10.141 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.141 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.141 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
10.142 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
10.142 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
10.142 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
10.142 * [taylor]: Taking taylor expansion of 0 in im
10.142 * [backup-simplify]: Simplify 0 into 0
10.142 * [backup-simplify]: Simplify 0 into 0
10.142 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.142 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
10.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
10.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
10.144 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
10.144 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.144 * [backup-simplify]: Simplify 0 into 0
10.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.146 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.146 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.147 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.149 * [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))
10.150 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.150 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
10.152 * [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))))
10.153 * [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))))
10.155 * [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))))
10.155 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
10.155 * [taylor]: Taking taylor expansion of 3/8 in im
10.155 * [backup-simplify]: Simplify 3/8 into 3/8
10.155 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
10.155 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
10.155 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
10.155 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
10.155 * [taylor]: Taking taylor expansion of 1/4 in im
10.155 * [backup-simplify]: Simplify 1/4 into 1/4
10.155 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
10.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
10.155 * [taylor]: Taking taylor expansion of (pow re 3) in im
10.155 * [taylor]: Taking taylor expansion of re in im
10.155 * [backup-simplify]: Simplify re into re
10.156 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.156 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
10.156 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
10.156 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
10.156 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
10.156 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
10.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.157 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.157 * [taylor]: Taking taylor expansion of im in im
10.157 * [backup-simplify]: Simplify 0 into 0
10.157 * [backup-simplify]: Simplify 1 into 1
10.157 * [backup-simplify]: Simplify (* 1 1) into 1
10.158 * [backup-simplify]: Simplify (/ 1 1) into 1
10.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.161 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.162 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
10.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
10.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
10.164 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
10.165 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.166 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
10.166 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
10.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
10.169 * [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
10.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
10.171 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.172 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
10.173 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
10.173 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
10.175 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
10.175 * [backup-simplify]: Simplify 0 into 0
10.175 * [backup-simplify]: Simplify 0 into 0
10.175 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
10.176 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
10.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
10.178 * [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
10.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
10.181 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.181 * [backup-simplify]: Simplify 0 into 0
10.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.184 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.185 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.185 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.185 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.185 * [backup-simplify]: Simplify (+ 0 0) into 0
10.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.190 * [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
10.191 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.192 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
10.194 * [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
10.196 * [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
10.197 * [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
10.197 * [taylor]: Taking taylor expansion of 0 in im
10.197 * [backup-simplify]: Simplify 0 into 0
10.197 * [backup-simplify]: Simplify 0 into 0
10.197 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4)
10.197 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2)
10.198 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) into (hypot re im)
10.198 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
10.198 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.198 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.198 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.198 * [taylor]: Taking taylor expansion of (* re re) in im
10.198 * [taylor]: Taking taylor expansion of re in im
10.198 * [backup-simplify]: Simplify re into re
10.198 * [taylor]: Taking taylor expansion of re in im
10.198 * [backup-simplify]: Simplify re into re
10.198 * [taylor]: Taking taylor expansion of (* im im) in im
10.198 * [taylor]: Taking taylor expansion of im in im
10.198 * [backup-simplify]: Simplify 0 into 0
10.198 * [backup-simplify]: Simplify 1 into 1
10.198 * [taylor]: Taking taylor expansion of im in im
10.198 * [backup-simplify]: Simplify 0 into 0
10.198 * [backup-simplify]: Simplify 1 into 1
10.198 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.199 * [backup-simplify]: Simplify (* 0 0) into 0
10.199 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.199 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.200 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.200 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.201 * [backup-simplify]: Simplify (+ 0 0) into 0
10.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.201 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.201 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.201 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.201 * [taylor]: Taking taylor expansion of (* re re) in re
10.201 * [taylor]: Taking taylor expansion of re in re
10.201 * [backup-simplify]: Simplify 0 into 0
10.201 * [backup-simplify]: Simplify 1 into 1
10.201 * [taylor]: Taking taylor expansion of re in re
10.201 * [backup-simplify]: Simplify 0 into 0
10.201 * [backup-simplify]: Simplify 1 into 1
10.201 * [taylor]: Taking taylor expansion of (* im im) in re
10.201 * [taylor]: Taking taylor expansion of im in re
10.201 * [backup-simplify]: Simplify im into im
10.201 * [taylor]: Taking taylor expansion of im in re
10.201 * [backup-simplify]: Simplify im into im
10.202 * [backup-simplify]: Simplify (* 0 0) into 0
10.202 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.202 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.202 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.203 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.203 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.203 * [backup-simplify]: Simplify (+ 0 0) into 0
10.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.204 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.204 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.204 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.204 * [taylor]: Taking taylor expansion of (* re re) in re
10.204 * [taylor]: Taking taylor expansion of re in re
10.204 * [backup-simplify]: Simplify 0 into 0
10.204 * [backup-simplify]: Simplify 1 into 1
10.204 * [taylor]: Taking taylor expansion of re in re
10.204 * [backup-simplify]: Simplify 0 into 0
10.204 * [backup-simplify]: Simplify 1 into 1
10.204 * [taylor]: Taking taylor expansion of (* im im) in re
10.204 * [taylor]: Taking taylor expansion of im in re
10.204 * [backup-simplify]: Simplify im into im
10.204 * [taylor]: Taking taylor expansion of im in re
10.204 * [backup-simplify]: Simplify im into im
10.205 * [backup-simplify]: Simplify (* 0 0) into 0
10.205 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.205 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.205 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.206 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.206 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.206 * [backup-simplify]: Simplify (+ 0 0) into 0
10.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.206 * [taylor]: Taking taylor expansion of im in im
10.206 * [backup-simplify]: Simplify 0 into 0
10.206 * [backup-simplify]: Simplify 1 into 1
10.207 * [backup-simplify]: Simplify 0 into 0
10.207 * [taylor]: Taking taylor expansion of 0 in im
10.207 * [backup-simplify]: Simplify 0 into 0
10.207 * [backup-simplify]: Simplify 0 into 0
10.207 * [backup-simplify]: Simplify 1 into 1
10.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.208 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.208 * [backup-simplify]: Simplify (+ 1 0) into 1
10.209 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.209 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.209 * [taylor]: Taking taylor expansion of 1/2 in im
10.209 * [backup-simplify]: Simplify 1/2 into 1/2
10.209 * [taylor]: Taking taylor expansion of im in im
10.209 * [backup-simplify]: Simplify 0 into 0
10.209 * [backup-simplify]: Simplify 1 into 1
10.210 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.211 * [backup-simplify]: Simplify 0 into 0
10.211 * [backup-simplify]: Simplify 0 into 0
10.211 * [backup-simplify]: Simplify 0 into 0
10.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.213 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.214 * [backup-simplify]: Simplify (+ 0 0) into 0
10.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.214 * [taylor]: Taking taylor expansion of 0 in im
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [backup-simplify]: Simplify 0 into 0
10.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.215 * [backup-simplify]: Simplify 0 into 0
10.215 * [backup-simplify]: Simplify 0 into 0
10.215 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.215 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3)) into (hypot (/ 1 re) (/ 1 im))
10.216 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
10.216 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.216 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.216 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.216 * [taylor]: Taking taylor expansion of re in im
10.216 * [backup-simplify]: Simplify re into re
10.216 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.216 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.216 * [taylor]: Taking taylor expansion of re in im
10.216 * [backup-simplify]: Simplify re into re
10.216 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.216 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.216 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.216 * [taylor]: Taking taylor expansion of im in im
10.216 * [backup-simplify]: Simplify 0 into 0
10.216 * [backup-simplify]: Simplify 1 into 1
10.216 * [backup-simplify]: Simplify (/ 1 1) into 1
10.216 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.216 * [taylor]: Taking taylor expansion of im in im
10.216 * [backup-simplify]: Simplify 0 into 0
10.216 * [backup-simplify]: Simplify 1 into 1
10.217 * [backup-simplify]: Simplify (/ 1 1) into 1
10.217 * [backup-simplify]: Simplify (* 1 1) into 1
10.217 * [backup-simplify]: Simplify (+ 0 1) into 1
10.217 * [backup-simplify]: Simplify (sqrt 1) into 1
10.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.219 * [backup-simplify]: Simplify (+ 0 0) into 0
10.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.219 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.219 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.219 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.219 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.219 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.220 * [taylor]: Taking taylor expansion of re in re
10.220 * [backup-simplify]: Simplify 0 into 0
10.220 * [backup-simplify]: Simplify 1 into 1
10.220 * [backup-simplify]: Simplify (/ 1 1) into 1
10.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.220 * [taylor]: Taking taylor expansion of re in re
10.220 * [backup-simplify]: Simplify 0 into 0
10.220 * [backup-simplify]: Simplify 1 into 1
10.220 * [backup-simplify]: Simplify (/ 1 1) into 1
10.220 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.220 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.220 * [taylor]: Taking taylor expansion of im in re
10.220 * [backup-simplify]: Simplify im into im
10.220 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.220 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.220 * [taylor]: Taking taylor expansion of im in re
10.220 * [backup-simplify]: Simplify im into im
10.220 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.221 * [backup-simplify]: Simplify (* 1 1) into 1
10.221 * [backup-simplify]: Simplify (+ 1 0) into 1
10.221 * [backup-simplify]: Simplify (sqrt 1) into 1
10.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.223 * [backup-simplify]: Simplify (+ 0 0) into 0
10.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.223 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.223 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.223 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.223 * [taylor]: Taking taylor expansion of re in re
10.223 * [backup-simplify]: Simplify 0 into 0
10.223 * [backup-simplify]: Simplify 1 into 1
10.224 * [backup-simplify]: Simplify (/ 1 1) into 1
10.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.224 * [taylor]: Taking taylor expansion of re in re
10.224 * [backup-simplify]: Simplify 0 into 0
10.224 * [backup-simplify]: Simplify 1 into 1
10.224 * [backup-simplify]: Simplify (/ 1 1) into 1
10.224 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.224 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.224 * [taylor]: Taking taylor expansion of im in re
10.224 * [backup-simplify]: Simplify im into im
10.224 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.224 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.224 * [taylor]: Taking taylor expansion of im in re
10.224 * [backup-simplify]: Simplify im into im
10.224 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.224 * [backup-simplify]: Simplify (* 1 1) into 1
10.225 * [backup-simplify]: Simplify (+ 1 0) into 1
10.225 * [backup-simplify]: Simplify (sqrt 1) into 1
10.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.230 * [backup-simplify]: Simplify (+ 0 0) into 0
10.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.231 * [taylor]: Taking taylor expansion of 1 in im
10.231 * [backup-simplify]: Simplify 1 into 1
10.231 * [taylor]: Taking taylor expansion of 0 in im
10.231 * [backup-simplify]: Simplify 0 into 0
10.231 * [backup-simplify]: Simplify 1 into 1
10.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.232 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.233 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.234 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.234 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.234 * [taylor]: Taking taylor expansion of 1/2 in im
10.234 * [backup-simplify]: Simplify 1/2 into 1/2
10.234 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.234 * [taylor]: Taking taylor expansion of im in im
10.234 * [backup-simplify]: Simplify 0 into 0
10.234 * [backup-simplify]: Simplify 1 into 1
10.234 * [backup-simplify]: Simplify (* 1 1) into 1
10.234 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.235 * [backup-simplify]: Simplify 0 into 0
10.235 * [backup-simplify]: Simplify 0 into 0
10.235 * [backup-simplify]: Simplify 0 into 0
10.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.237 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.237 * [backup-simplify]: Simplify (+ 0 0) into 0
10.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.238 * [taylor]: Taking taylor expansion of 0 in im
10.238 * [backup-simplify]: Simplify 0 into 0
10.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.239 * [backup-simplify]: Simplify 0 into 0
10.239 * [backup-simplify]: Simplify 0 into 0
10.239 * [backup-simplify]: Simplify 0 into 0
10.239 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.239 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3)) into (hypot (/ -1 re) (/ -1 im))
10.240 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
10.240 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.240 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.240 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.240 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.240 * [taylor]: Taking taylor expansion of -1 in im
10.240 * [backup-simplify]: Simplify -1 into -1
10.240 * [taylor]: Taking taylor expansion of re in im
10.240 * [backup-simplify]: Simplify re into re
10.240 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.240 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.240 * [taylor]: Taking taylor expansion of -1 in im
10.240 * [backup-simplify]: Simplify -1 into -1
10.240 * [taylor]: Taking taylor expansion of re in im
10.240 * [backup-simplify]: Simplify re into re
10.240 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.240 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.240 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.240 * [taylor]: Taking taylor expansion of -1 in im
10.240 * [backup-simplify]: Simplify -1 into -1
10.240 * [taylor]: Taking taylor expansion of im in im
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify 1 into 1
10.240 * [backup-simplify]: Simplify (/ -1 1) into -1
10.240 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.240 * [taylor]: Taking taylor expansion of -1 in im
10.240 * [backup-simplify]: Simplify -1 into -1
10.240 * [taylor]: Taking taylor expansion of im in im
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify 1 into 1
10.241 * [backup-simplify]: Simplify (/ -1 1) into -1
10.241 * [backup-simplify]: Simplify (* -1 -1) into 1
10.241 * [backup-simplify]: Simplify (+ 0 1) into 1
10.241 * [backup-simplify]: Simplify (sqrt 1) into 1
10.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.243 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.243 * [backup-simplify]: Simplify (+ 0 0) into 0
10.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.244 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.244 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.244 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.244 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.244 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.244 * [taylor]: Taking taylor expansion of -1 in re
10.244 * [backup-simplify]: Simplify -1 into -1
10.244 * [taylor]: Taking taylor expansion of re in re
10.244 * [backup-simplify]: Simplify 0 into 0
10.244 * [backup-simplify]: Simplify 1 into 1
10.245 * [backup-simplify]: Simplify (/ -1 1) into -1
10.245 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.245 * [taylor]: Taking taylor expansion of -1 in re
10.245 * [backup-simplify]: Simplify -1 into -1
10.245 * [taylor]: Taking taylor expansion of re in re
10.245 * [backup-simplify]: Simplify 0 into 0
10.245 * [backup-simplify]: Simplify 1 into 1
10.245 * [backup-simplify]: Simplify (/ -1 1) into -1
10.245 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.245 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.246 * [taylor]: Taking taylor expansion of -1 in re
10.246 * [backup-simplify]: Simplify -1 into -1
10.246 * [taylor]: Taking taylor expansion of im in re
10.246 * [backup-simplify]: Simplify im into im
10.246 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.246 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.246 * [taylor]: Taking taylor expansion of -1 in re
10.246 * [backup-simplify]: Simplify -1 into -1
10.246 * [taylor]: Taking taylor expansion of im in re
10.246 * [backup-simplify]: Simplify im into im
10.246 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.246 * [backup-simplify]: Simplify (* -1 -1) into 1
10.247 * [backup-simplify]: Simplify (+ 1 0) into 1
10.247 * [backup-simplify]: Simplify (sqrt 1) into 1
10.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.250 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.250 * [backup-simplify]: Simplify (+ 0 0) into 0
10.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.251 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.251 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.251 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.251 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.251 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.251 * [taylor]: Taking taylor expansion of -1 in re
10.251 * [backup-simplify]: Simplify -1 into -1
10.251 * [taylor]: Taking taylor expansion of re in re
10.251 * [backup-simplify]: Simplify 0 into 0
10.251 * [backup-simplify]: Simplify 1 into 1
10.252 * [backup-simplify]: Simplify (/ -1 1) into -1
10.252 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.252 * [taylor]: Taking taylor expansion of -1 in re
10.252 * [backup-simplify]: Simplify -1 into -1
10.252 * [taylor]: Taking taylor expansion of re in re
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [backup-simplify]: Simplify 1 into 1
10.252 * [backup-simplify]: Simplify (/ -1 1) into -1
10.252 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.252 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.252 * [taylor]: Taking taylor expansion of -1 in re
10.252 * [backup-simplify]: Simplify -1 into -1
10.252 * [taylor]: Taking taylor expansion of im in re
10.253 * [backup-simplify]: Simplify im into im
10.253 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.253 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.253 * [taylor]: Taking taylor expansion of -1 in re
10.253 * [backup-simplify]: Simplify -1 into -1
10.253 * [taylor]: Taking taylor expansion of im in re
10.253 * [backup-simplify]: Simplify im into im
10.253 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.253 * [backup-simplify]: Simplify (* -1 -1) into 1
10.254 * [backup-simplify]: Simplify (+ 1 0) into 1
10.254 * [backup-simplify]: Simplify (sqrt 1) into 1
10.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.257 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.257 * [backup-simplify]: Simplify (+ 0 0) into 0
10.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.258 * [taylor]: Taking taylor expansion of 1 in im
10.258 * [backup-simplify]: Simplify 1 into 1
10.258 * [taylor]: Taking taylor expansion of 0 in im
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 1 into 1
10.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.261 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.261 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.261 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.263 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.263 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.263 * [taylor]: Taking taylor expansion of 1/2 in im
10.263 * [backup-simplify]: Simplify 1/2 into 1/2
10.263 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.263 * [taylor]: Taking taylor expansion of im in im
10.263 * [backup-simplify]: Simplify 0 into 0
10.263 * [backup-simplify]: Simplify 1 into 1
10.264 * [backup-simplify]: Simplify (* 1 1) into 1
10.264 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.266 * [backup-simplify]: Simplify 0 into 0
10.266 * [backup-simplify]: Simplify 0 into 0
10.266 * [backup-simplify]: Simplify 0 into 0
10.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.269 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.269 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.270 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.270 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.270 * [backup-simplify]: Simplify (+ 0 0) into 0
10.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.271 * [taylor]: Taking taylor expansion of 0 in im
10.271 * [backup-simplify]: Simplify 0 into 0
10.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.273 * [backup-simplify]: Simplify 0 into 0
10.273 * [backup-simplify]: Simplify 0 into 0
10.273 * [backup-simplify]: Simplify 0 into 0
10.273 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.273 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2 1)
10.274 * [backup-simplify]: Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4)
10.274 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/4) in (re im) around 0
10.274 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im
10.274 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im
10.274 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im
10.274 * [taylor]: Taking taylor expansion of 1/4 in im
10.274 * [backup-simplify]: Simplify 1/4 into 1/4
10.274 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
10.274 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.274 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.274 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.274 * [taylor]: Taking taylor expansion of (* re re) in im
10.274 * [taylor]: Taking taylor expansion of re in im
10.274 * [backup-simplify]: Simplify re into re
10.274 * [taylor]: Taking taylor expansion of re in im
10.274 * [backup-simplify]: Simplify re into re
10.274 * [taylor]: Taking taylor expansion of (* im im) in im
10.274 * [taylor]: Taking taylor expansion of im in im
10.274 * [backup-simplify]: Simplify 0 into 0
10.274 * [backup-simplify]: Simplify 1 into 1
10.275 * [taylor]: Taking taylor expansion of im in im
10.275 * [backup-simplify]: Simplify 0 into 0
10.275 * [backup-simplify]: Simplify 1 into 1
10.275 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.275 * [backup-simplify]: Simplify (* 0 0) into 0
10.275 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.275 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.276 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.276 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.277 * [backup-simplify]: Simplify (+ 0 0) into 0
10.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.277 * [backup-simplify]: Simplify (log re) into (log re)
10.277 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re))
10.277 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4)
10.277 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
10.277 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
10.277 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
10.277 * [taylor]: Taking taylor expansion of 1/4 in re
10.277 * [backup-simplify]: Simplify 1/4 into 1/4
10.277 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
10.277 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.278 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.278 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.278 * [taylor]: Taking taylor expansion of (* re re) in re
10.278 * [taylor]: Taking taylor expansion of re in re
10.278 * [backup-simplify]: Simplify 0 into 0
10.278 * [backup-simplify]: Simplify 1 into 1
10.278 * [taylor]: Taking taylor expansion of re in re
10.278 * [backup-simplify]: Simplify 0 into 0
10.278 * [backup-simplify]: Simplify 1 into 1
10.278 * [taylor]: Taking taylor expansion of (* im im) in re
10.278 * [taylor]: Taking taylor expansion of im in re
10.278 * [backup-simplify]: Simplify im into im
10.278 * [taylor]: Taking taylor expansion of im in re
10.278 * [backup-simplify]: Simplify im into im
10.278 * [backup-simplify]: Simplify (* 0 0) into 0
10.278 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.279 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.279 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.279 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.280 * [backup-simplify]: Simplify (+ 0 0) into 0
10.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.280 * [backup-simplify]: Simplify (log im) into (log im)
10.280 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
10.280 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
10.280 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
10.280 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
10.280 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
10.280 * [taylor]: Taking taylor expansion of 1/4 in re
10.281 * [backup-simplify]: Simplify 1/4 into 1/4
10.281 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
10.281 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.281 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.281 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.281 * [taylor]: Taking taylor expansion of (* re re) in re
10.281 * [taylor]: Taking taylor expansion of re in re
10.281 * [backup-simplify]: Simplify 0 into 0
10.281 * [backup-simplify]: Simplify 1 into 1
10.281 * [taylor]: Taking taylor expansion of re in re
10.281 * [backup-simplify]: Simplify 0 into 0
10.281 * [backup-simplify]: Simplify 1 into 1
10.281 * [taylor]: Taking taylor expansion of (* im im) in re
10.281 * [taylor]: Taking taylor expansion of im in re
10.281 * [backup-simplify]: Simplify im into im
10.281 * [taylor]: Taking taylor expansion of im in re
10.281 * [backup-simplify]: Simplify im into im
10.281 * [backup-simplify]: Simplify (* 0 0) into 0
10.282 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.282 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.282 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.283 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.283 * [backup-simplify]: Simplify (+ 0 0) into 0
10.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.283 * [backup-simplify]: Simplify (log im) into (log im)
10.283 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
10.283 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
10.283 * [taylor]: Taking taylor expansion of (pow im 1/4) in im
10.283 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im
10.283 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im
10.283 * [taylor]: Taking taylor expansion of 1/4 in im
10.283 * [backup-simplify]: Simplify 1/4 into 1/4
10.284 * [taylor]: Taking taylor expansion of (log im) in im
10.284 * [taylor]: Taking taylor expansion of im in im
10.284 * [backup-simplify]: Simplify 0 into 0
10.284 * [backup-simplify]: Simplify 1 into 1
10.284 * [backup-simplify]: Simplify (log 1) into 0
10.284 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
10.284 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
10.284 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
10.284 * [backup-simplify]: Simplify (pow im 1/4) into (pow im 1/4)
10.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
10.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0
10.286 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
10.286 * [taylor]: Taking taylor expansion of 0 in im
10.286 * [backup-simplify]: Simplify 0 into 0
10.286 * [backup-simplify]: Simplify 0 into 0
10.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.287 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
10.287 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0
10.288 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
10.288 * [backup-simplify]: Simplify 0 into 0
10.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.289 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.289 * [backup-simplify]: Simplify (+ 1 0) into 1
10.289 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.290 * [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))
10.291 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2)))
10.291 * [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))
10.291 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) in im
10.291 * [taylor]: Taking taylor expansion of 1/8 in im
10.291 * [backup-simplify]: Simplify 1/8 into 1/8
10.291 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im
10.291 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im
10.291 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im
10.291 * [taylor]: Taking taylor expansion of 1/4 in im
10.291 * [backup-simplify]: Simplify 1/4 into 1/4
10.291 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im
10.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im
10.291 * [taylor]: Taking taylor expansion of (pow im 7) in im
10.292 * [taylor]: Taking taylor expansion of im in im
10.292 * [backup-simplify]: Simplify 0 into 0
10.292 * [backup-simplify]: Simplify 1 into 1
10.292 * [backup-simplify]: Simplify (* 1 1) into 1
10.292 * [backup-simplify]: Simplify (* 1 1) into 1
10.292 * [backup-simplify]: Simplify (* 1 1) into 1
10.293 * [backup-simplify]: Simplify (* 1 1) into 1
10.293 * [backup-simplify]: Simplify (/ 1 1) into 1
10.293 * [backup-simplify]: Simplify (log 1) into 0
10.293 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im)))
10.293 * [backup-simplify]: Simplify (* 1/4 (- (* 7 (log im)))) into (* -7/4 (log im))
10.293 * [backup-simplify]: Simplify (exp (* -7/4 (log im))) into (pow im -7/4)
10.294 * [backup-simplify]: Simplify (* 1/8 (pow im -7/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
10.294 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
10.294 * [backup-simplify]: Simplify 0 into 0
10.295 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
10.296 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
10.296 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log im)))) into 0
10.297 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.297 * [backup-simplify]: Simplify 0 into 0
10.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.298 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.299 * [backup-simplify]: Simplify (+ 0 0) into 0
10.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.300 * [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
10.301 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
10.302 * [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
10.302 * [taylor]: Taking taylor expansion of 0 in im
10.302 * [backup-simplify]: Simplify 0 into 0
10.302 * [backup-simplify]: Simplify 0 into 0
10.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.306 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im)))
10.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 7 (log im))))) into 0
10.307 * [backup-simplify]: Simplify (* (exp (* -7/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
10.307 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (pow im -7/4))) into 0
10.307 * [backup-simplify]: Simplify 0 into 0
10.307 * [backup-simplify]: Simplify 0 into 0
10.310 * [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
10.311 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
10.312 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
10.313 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.314 * [backup-simplify]: Simplify 0 into 0
10.315 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (* 1 re) 2)) (pow im 1/4)) into (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4))
10.315 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4)
10.315 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in (re im) around 0
10.315 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im
10.315 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im
10.315 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im
10.315 * [taylor]: Taking taylor expansion of 1/4 in im
10.315 * [backup-simplify]: Simplify 1/4 into 1/4
10.315 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
10.315 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.315 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.315 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.315 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.315 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.315 * [taylor]: Taking taylor expansion of re in im
10.315 * [backup-simplify]: Simplify re into re
10.315 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.315 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.316 * [taylor]: Taking taylor expansion of re in im
10.316 * [backup-simplify]: Simplify re into re
10.316 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.316 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.316 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.316 * [taylor]: Taking taylor expansion of im in im
10.316 * [backup-simplify]: Simplify 0 into 0
10.316 * [backup-simplify]: Simplify 1 into 1
10.316 * [backup-simplify]: Simplify (/ 1 1) into 1
10.316 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.316 * [taylor]: Taking taylor expansion of im in im
10.316 * [backup-simplify]: Simplify 0 into 0
10.316 * [backup-simplify]: Simplify 1 into 1
10.317 * [backup-simplify]: Simplify (/ 1 1) into 1
10.317 * [backup-simplify]: Simplify (* 1 1) into 1
10.318 * [backup-simplify]: Simplify (+ 0 1) into 1
10.318 * [backup-simplify]: Simplify (sqrt 1) into 1
10.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.321 * [backup-simplify]: Simplify (+ 0 0) into 0
10.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.322 * [backup-simplify]: Simplify (log 1) into 0
10.322 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
10.322 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
10.322 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
10.323 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
10.323 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
10.323 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
10.323 * [taylor]: Taking taylor expansion of 1/4 in re
10.323 * [backup-simplify]: Simplify 1/4 into 1/4
10.323 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
10.323 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.323 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.323 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.323 * [taylor]: Taking taylor expansion of re in re
10.323 * [backup-simplify]: Simplify 0 into 0
10.323 * [backup-simplify]: Simplify 1 into 1
10.324 * [backup-simplify]: Simplify (/ 1 1) into 1
10.324 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.324 * [taylor]: Taking taylor expansion of re in re
10.324 * [backup-simplify]: Simplify 0 into 0
10.324 * [backup-simplify]: Simplify 1 into 1
10.324 * [backup-simplify]: Simplify (/ 1 1) into 1
10.324 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.324 * [taylor]: Taking taylor expansion of im in re
10.324 * [backup-simplify]: Simplify im into im
10.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.324 * [taylor]: Taking taylor expansion of im in re
10.324 * [backup-simplify]: Simplify im into im
10.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.325 * [backup-simplify]: Simplify (* 1 1) into 1
10.325 * [backup-simplify]: Simplify (+ 1 0) into 1
10.326 * [backup-simplify]: Simplify (sqrt 1) into 1
10.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.328 * [backup-simplify]: Simplify (+ 0 0) into 0
10.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.329 * [backup-simplify]: Simplify (log 1) into 0
10.330 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.330 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
10.330 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
10.330 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
10.330 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
10.330 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
10.330 * [taylor]: Taking taylor expansion of 1/4 in re
10.330 * [backup-simplify]: Simplify 1/4 into 1/4
10.330 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
10.330 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.331 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.331 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.331 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.331 * [taylor]: Taking taylor expansion of re in re
10.331 * [backup-simplify]: Simplify 0 into 0
10.331 * [backup-simplify]: Simplify 1 into 1
10.331 * [backup-simplify]: Simplify (/ 1 1) into 1
10.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.331 * [taylor]: Taking taylor expansion of re in re
10.331 * [backup-simplify]: Simplify 0 into 0
10.331 * [backup-simplify]: Simplify 1 into 1
10.332 * [backup-simplify]: Simplify (/ 1 1) into 1
10.332 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.332 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.332 * [taylor]: Taking taylor expansion of im in re
10.332 * [backup-simplify]: Simplify im into im
10.332 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.332 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.332 * [taylor]: Taking taylor expansion of im in re
10.332 * [backup-simplify]: Simplify im into im
10.332 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.332 * [backup-simplify]: Simplify (* 1 1) into 1
10.333 * [backup-simplify]: Simplify (+ 1 0) into 1
10.333 * [backup-simplify]: Simplify (sqrt 1) into 1
10.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.336 * [backup-simplify]: Simplify (+ 0 0) into 0
10.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.337 * [backup-simplify]: Simplify (log 1) into 0
10.337 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.337 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
10.337 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
10.338 * [taylor]: Taking taylor expansion of (pow re -1/4) in im
10.338 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im
10.338 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im
10.338 * [taylor]: Taking taylor expansion of -1/4 in im
10.338 * [backup-simplify]: Simplify -1/4 into -1/4
10.338 * [taylor]: Taking taylor expansion of (log re) in im
10.338 * [taylor]: Taking taylor expansion of re in im
10.338 * [backup-simplify]: Simplify re into re
10.338 * [backup-simplify]: Simplify (log re) into (log re)
10.338 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re))
10.338 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
10.338 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4)
10.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.340 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.341 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
10.341 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
10.342 * [taylor]: Taking taylor expansion of 0 in im
10.342 * [backup-simplify]: Simplify 0 into 0
10.342 * [backup-simplify]: Simplify 0 into 0
10.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
10.343 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0
10.344 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
10.344 * [backup-simplify]: Simplify 0 into 0
10.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.347 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.347 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.348 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.351 * [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))
10.351 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.352 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
10.353 * [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))))
10.353 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im
10.353 * [taylor]: Taking taylor expansion of 1/8 in im
10.353 * [backup-simplify]: Simplify 1/8 into 1/8
10.353 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im
10.353 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im
10.353 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im
10.353 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im
10.353 * [taylor]: Taking taylor expansion of 1/4 in im
10.353 * [backup-simplify]: Simplify 1/4 into 1/4
10.353 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
10.353 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.353 * [taylor]: Taking taylor expansion of re in im
10.353 * [backup-simplify]: Simplify re into re
10.353 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.353 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
10.354 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re)))
10.354 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4)
10.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.354 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.354 * [taylor]: Taking taylor expansion of im in im
10.354 * [backup-simplify]: Simplify 0 into 0
10.354 * [backup-simplify]: Simplify 1 into 1
10.354 * [backup-simplify]: Simplify (* 1 1) into 1
10.355 * [backup-simplify]: Simplify (/ 1 1) into 1
10.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
10.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
10.360 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0
10.366 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
10.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
10.370 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
10.371 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.372 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
10.373 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0
10.373 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4)
10.374 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0
10.374 * [backup-simplify]: Simplify 0 into 0
10.374 * [backup-simplify]: Simplify 0 into 0
10.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
10.377 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0
10.378 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.378 * [backup-simplify]: Simplify 0 into 0
10.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.381 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.381 * [backup-simplify]: Simplify (+ 0 0) into 0
10.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.384 * [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
10.384 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.385 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
10.386 * [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
10.386 * [taylor]: Taking taylor expansion of 0 in im
10.386 * [backup-simplify]: Simplify 0 into 0
10.386 * [backup-simplify]: Simplify 0 into 0
10.386 * [backup-simplify]: Simplify (pow (/ 1 re) -1/4) into (pow (/ 1 re) -1/4)
10.386 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4)
10.386 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in (re im) around 0
10.386 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im
10.386 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im
10.386 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im
10.386 * [taylor]: Taking taylor expansion of 1/4 in im
10.386 * [backup-simplify]: Simplify 1/4 into 1/4
10.386 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
10.387 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.387 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.387 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.387 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.387 * [taylor]: Taking taylor expansion of -1 in im
10.387 * [backup-simplify]: Simplify -1 into -1
10.387 * [taylor]: Taking taylor expansion of re in im
10.387 * [backup-simplify]: Simplify re into re
10.387 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.387 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.387 * [taylor]: Taking taylor expansion of -1 in im
10.387 * [backup-simplify]: Simplify -1 into -1
10.387 * [taylor]: Taking taylor expansion of re in im
10.387 * [backup-simplify]: Simplify re into re
10.387 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.387 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.387 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.387 * [taylor]: Taking taylor expansion of -1 in im
10.387 * [backup-simplify]: Simplify -1 into -1
10.387 * [taylor]: Taking taylor expansion of im in im
10.387 * [backup-simplify]: Simplify 0 into 0
10.387 * [backup-simplify]: Simplify 1 into 1
10.387 * [backup-simplify]: Simplify (/ -1 1) into -1
10.387 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.387 * [taylor]: Taking taylor expansion of -1 in im
10.387 * [backup-simplify]: Simplify -1 into -1
10.387 * [taylor]: Taking taylor expansion of im in im
10.387 * [backup-simplify]: Simplify 0 into 0
10.387 * [backup-simplify]: Simplify 1 into 1
10.388 * [backup-simplify]: Simplify (/ -1 1) into -1
10.388 * [backup-simplify]: Simplify (* -1 -1) into 1
10.388 * [backup-simplify]: Simplify (+ 0 1) into 1
10.388 * [backup-simplify]: Simplify (sqrt 1) into 1
10.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.390 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.390 * [backup-simplify]: Simplify (+ 0 0) into 0
10.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.391 * [backup-simplify]: Simplify (log 1) into 0
10.391 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
10.391 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
10.391 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
10.391 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
10.391 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
10.391 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
10.391 * [taylor]: Taking taylor expansion of 1/4 in re
10.391 * [backup-simplify]: Simplify 1/4 into 1/4
10.391 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
10.391 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.392 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.392 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.392 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.392 * [taylor]: Taking taylor expansion of -1 in re
10.392 * [backup-simplify]: Simplify -1 into -1
10.392 * [taylor]: Taking taylor expansion of re in re
10.392 * [backup-simplify]: Simplify 0 into 0
10.392 * [backup-simplify]: Simplify 1 into 1
10.392 * [backup-simplify]: Simplify (/ -1 1) into -1
10.392 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.392 * [taylor]: Taking taylor expansion of -1 in re
10.392 * [backup-simplify]: Simplify -1 into -1
10.392 * [taylor]: Taking taylor expansion of re in re
10.392 * [backup-simplify]: Simplify 0 into 0
10.392 * [backup-simplify]: Simplify 1 into 1
10.392 * [backup-simplify]: Simplify (/ -1 1) into -1
10.392 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.392 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.392 * [taylor]: Taking taylor expansion of -1 in re
10.392 * [backup-simplify]: Simplify -1 into -1
10.392 * [taylor]: Taking taylor expansion of im in re
10.392 * [backup-simplify]: Simplify im into im
10.393 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.393 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.393 * [taylor]: Taking taylor expansion of -1 in re
10.393 * [backup-simplify]: Simplify -1 into -1
10.393 * [taylor]: Taking taylor expansion of im in re
10.393 * [backup-simplify]: Simplify im into im
10.393 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.393 * [backup-simplify]: Simplify (* -1 -1) into 1
10.393 * [backup-simplify]: Simplify (+ 1 0) into 1
10.393 * [backup-simplify]: Simplify (sqrt 1) into 1
10.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.395 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.395 * [backup-simplify]: Simplify (+ 0 0) into 0
10.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.396 * [backup-simplify]: Simplify (log 1) into 0
10.396 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.396 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
10.396 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
10.396 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
10.396 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
10.396 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
10.396 * [taylor]: Taking taylor expansion of 1/4 in re
10.396 * [backup-simplify]: Simplify 1/4 into 1/4
10.396 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
10.396 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.396 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.396 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.396 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.397 * [taylor]: Taking taylor expansion of -1 in re
10.397 * [backup-simplify]: Simplify -1 into -1
10.397 * [taylor]: Taking taylor expansion of re in re
10.397 * [backup-simplify]: Simplify 0 into 0
10.397 * [backup-simplify]: Simplify 1 into 1
10.397 * [backup-simplify]: Simplify (/ -1 1) into -1
10.397 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.397 * [taylor]: Taking taylor expansion of -1 in re
10.397 * [backup-simplify]: Simplify -1 into -1
10.397 * [taylor]: Taking taylor expansion of re in re
10.397 * [backup-simplify]: Simplify 0 into 0
10.397 * [backup-simplify]: Simplify 1 into 1
10.397 * [backup-simplify]: Simplify (/ -1 1) into -1
10.397 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.397 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.397 * [taylor]: Taking taylor expansion of -1 in re
10.397 * [backup-simplify]: Simplify -1 into -1
10.397 * [taylor]: Taking taylor expansion of im in re
10.397 * [backup-simplify]: Simplify im into im
10.397 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.397 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.397 * [taylor]: Taking taylor expansion of -1 in re
10.398 * [backup-simplify]: Simplify -1 into -1
10.398 * [taylor]: Taking taylor expansion of im in re
10.398 * [backup-simplify]: Simplify im into im
10.398 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.398 * [backup-simplify]: Simplify (* -1 -1) into 1
10.398 * [backup-simplify]: Simplify (+ 1 0) into 1
10.398 * [backup-simplify]: Simplify (sqrt 1) into 1
10.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.400 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.400 * [backup-simplify]: Simplify (+ 0 0) into 0
10.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.401 * [backup-simplify]: Simplify (log 1) into 0
10.401 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.401 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
10.401 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
10.401 * [taylor]: Taking taylor expansion of (pow re -1/4) in im
10.401 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im
10.401 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im
10.401 * [taylor]: Taking taylor expansion of -1/4 in im
10.402 * [backup-simplify]: Simplify -1/4 into -1/4
10.402 * [taylor]: Taking taylor expansion of (log re) in im
10.402 * [taylor]: Taking taylor expansion of re in im
10.402 * [backup-simplify]: Simplify re into re
10.402 * [backup-simplify]: Simplify (log re) into (log re)
10.402 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re))
10.402 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
10.402 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4)
10.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.403 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.403 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
10.404 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
10.404 * [taylor]: Taking taylor expansion of 0 in im
10.404 * [backup-simplify]: Simplify 0 into 0
10.404 * [backup-simplify]: Simplify 0 into 0
10.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
10.405 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0
10.405 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
10.405 * [backup-simplify]: Simplify 0 into 0
10.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.407 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.407 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.407 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.409 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.411 * [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))
10.411 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.412 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
10.413 * [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))))
10.413 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im
10.413 * [taylor]: Taking taylor expansion of 1/8 in im
10.413 * [backup-simplify]: Simplify 1/8 into 1/8
10.413 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im
10.413 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im
10.413 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im
10.413 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im
10.413 * [taylor]: Taking taylor expansion of 1/4 in im
10.414 * [backup-simplify]: Simplify 1/4 into 1/4
10.414 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
10.414 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.414 * [taylor]: Taking taylor expansion of re in im
10.414 * [backup-simplify]: Simplify re into re
10.414 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.414 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
10.414 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re)))
10.414 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4)
10.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.414 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.414 * [taylor]: Taking taylor expansion of im in im
10.414 * [backup-simplify]: Simplify 0 into 0
10.414 * [backup-simplify]: Simplify 1 into 1
10.415 * [backup-simplify]: Simplify (* 1 1) into 1
10.415 * [backup-simplify]: Simplify (/ 1 1) into 1
10.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
10.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
10.418 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0
10.418 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
10.420 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
10.420 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
10.421 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.422 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
10.422 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0
10.422 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4)
10.423 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0
10.423 * [backup-simplify]: Simplify 0 into 0
10.423 * [backup-simplify]: Simplify 0 into 0
10.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
10.425 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0
10.425 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.425 * [backup-simplify]: Simplify 0 into 0
10.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.427 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.427 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.427 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.428 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.428 * [backup-simplify]: Simplify (+ 0 0) into 0
10.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.430 * [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
10.431 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.431 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
10.433 * [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
10.433 * [taylor]: Taking taylor expansion of 0 in im
10.433 * [backup-simplify]: Simplify 0 into 0
10.433 * [backup-simplify]: Simplify 0 into 0
10.433 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/4) into (pow (/ -1 re) -1/4)
10.433 * * * [progress]: simplifying candidates
10.435 * [simplify]: Simplifying:
  (expm1 (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (log1p (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (* (exp re) (exp (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (log (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (exp (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (* (cbrt (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))) (cbrt (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))))
  (cbrt (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (* (* (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))) (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (sqrt (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (sqrt (+ re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (+ (pow re 3) (pow (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) 3))
  (+ (* re re) (- (* (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (* re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))))
  (- (* re re) (* (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (- re (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (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 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (log1p (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (+ 1 3)
  (+ (log (sqrt (sqrt (hypot re im)))) (* (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))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (exp (* (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)))) (* (* (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (cbrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (cbrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (cbrt (* (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))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (sqrt (* (sqrt (sqrt (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 (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)))) (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 (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)))) (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 (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)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)))
  (* (sqrt (sqrt (hypot re im))) (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (* (cbrt (hypot re im)) (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 1)) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt 1) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow 1 3))
  (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))
  (* (sqrt (sqrt (hypot re im))) (* (cbrt (pow (sqrt (sqrt (hypot re im))) 3)) (cbrt (pow (sqrt (sqrt (hypot re im))) 3))))
  (* (sqrt (sqrt (hypot re im))) (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (* (cbrt (hypot re im)) (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 1)) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt 1) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow 1 3))
  (* (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))) 1)
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)))
  (* (cbrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (cbrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (sqrt (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 (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 (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 (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))
  (expm1 (sqrt (sqrt (hypot re im))))
  (log1p (sqrt (sqrt (hypot re im))))
  (log (sqrt (sqrt (hypot re im))))
  (exp (sqrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))
  (cbrt (sqrt (sqrt (hypot re im))))
  (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))
  (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (sqrt (cbrt (sqrt (hypot re im))))
  (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (sqrt (sqrt (cbrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt 1)
  (sqrt (sqrt (hypot re im)))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (+ 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)
  (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4))
  (pow (/ 1 re) -1/4)
  (pow (/ -1 re) -1/4)
10.439 * * [simplify]: Extracting # 0 : cost  0
10.439 * * [simplify]: Extracting # 1 : cost  0
10.439 * * [simplify]: Extracting # 2 : cost  0
10.439 * * [simplify]: Extracting # 3 : cost  0
10.440 * * [simplify]: Extracting # 4 : cost  0
10.440 * * [simplify]: Extracting # 5 : cost  0
10.440 * * [simplify]: Extracting # 6 : cost  0
10.440 * * [simplify]: Extracting # 7 : cost  0
10.440 * * [simplify]: Extracting # 8 : cost  0
10.441 * * [simplify]: Extracting # 9 : cost  0
10.441 * * [simplify]: Extracting # 10 : cost  0
10.441 * * [simplify]: iteration  0 :  155  enodes  (cost  2501 )
10.529 * * [simplify]: Extracting # 0 : cost  0
10.530 * * [simplify]: Extracting # 1 : cost  0
10.531 * * [simplify]: Extracting # 2 : cost  0
10.531 * * [simplify]: Extracting # 3 : cost  0
10.532 * * [simplify]: Extracting # 4 : cost  0
10.533 * * [simplify]: iteration  1 :  357  enodes  (cost  2124 )
10.736 * * [simplify]: Extracting # 0 : cost  0
10.737 * * [simplify]: Extracting # 1 : cost  0
10.739 * * [simplify]: Extracting # 2 : cost  0
10.740 * * [simplify]: Extracting # 3 : cost  0
10.742 * * [simplify]: Extracting # 4 : cost  0
10.743 * * [simplify]: iteration  2 :  1172  enodes  (cost  1463 )
11.781 * * [simplify]: Extracting # 0 : cost  0
11.793 * * [simplify]: Extracting # 1 : cost  0
11.814 * * [simplify]: Extracting # 2 : cost  0
11.825 * * [simplify]: Extracting # 3 : cost  0
11.836 * * [simplify]: Extracting # 4 : cost  0
11.848 * * [simplify]: iteration done:  5000  enodes  (cost  1319 )
11.849 * [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 re 3) (pow (hypot re im) 3))
  (fma (hypot re im) (- (hypot re im) re) (* re re))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (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))) 3/2) 6)
  (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
  (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 (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 (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 (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 (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 (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))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (sqrt (sqrt (hypot re im))) (pow (fabs (cbrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (fabs (cbrt (hypot re im)))) 3))
  (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1))
  (sqrt (sqrt (hypot re im)))
  (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1))
  (sqrt (sqrt (hypot re im)))
  (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1))
  (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))) (pow (fabs (cbrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (fabs (cbrt (hypot re im)))) 3))
  (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1))
  (sqrt (sqrt (hypot re im)))
  (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1))
  (sqrt (sqrt (hypot re im)))
  (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1))
  (sqrt (sqrt (hypot re im)))
  (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))) (+ 3/2 1))
  (* (cbrt (sqrt (hypot re im))) (pow (cbrt (sqrt (hypot re im))) 4))
  (* (sqrt (cbrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (sqrt (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (hypot re im)) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (hypot re im)
  (* (sqrt (hypot re im)) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (hypot re im)
  (* (sqrt (hypot re im)) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (hypot re im)
  (expm1 (sqrt (sqrt (hypot re im))))
  (log1p (sqrt (sqrt (hypot re im))))
  (log (sqrt (sqrt (hypot re im))))
  (exp (sqrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (sqrt (hypot re im))))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (fabs (cbrt (sqrt (hypot re im))))
  (sqrt (cbrt (sqrt (hypot re im))))
  (sqrt (fabs (cbrt (hypot re im))))
  (sqrt (sqrt (cbrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  1
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  1
  (sqrt (sqrt (hypot re im)))
  1/4
  1/2
  1/4
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (+ 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 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4)) (pow im 1/4))
  (pow (/ 1 re) -1/4)
  (pow (/ -1 re) -1/4)
11.851 * * * [progress]: adding candidates to table
12.360 * * [progress]: iteration 4 / 4
12.360 * * * [progress]: picking best candidate
12.425 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) 2.0))))>
12.425 * * * [progress]: localizing error
12.449 * * * [progress]: generating rewritten candidates
12.449 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
12.456 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2)
12.462 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2)
12.511 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1)
12.519 * * * [progress]: generating series expansions
12.519 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
12.519 * [backup-simplify]: Simplify (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) into (+ re (hypot re im))
12.519 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
12.519 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
12.519 * [taylor]: Taking taylor expansion of re in im
12.519 * [backup-simplify]: Simplify re into re
12.519 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.520 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.520 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.520 * [taylor]: Taking taylor expansion of (* re re) in im
12.520 * [taylor]: Taking taylor expansion of re in im
12.520 * [backup-simplify]: Simplify re into re
12.520 * [taylor]: Taking taylor expansion of re in im
12.520 * [backup-simplify]: Simplify re into re
12.520 * [taylor]: Taking taylor expansion of (* im im) in im
12.520 * [taylor]: Taking taylor expansion of im in im
12.520 * [backup-simplify]: Simplify 0 into 0
12.520 * [backup-simplify]: Simplify 1 into 1
12.520 * [taylor]: Taking taylor expansion of im in im
12.520 * [backup-simplify]: Simplify 0 into 0
12.520 * [backup-simplify]: Simplify 1 into 1
12.520 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.520 * [backup-simplify]: Simplify (* 0 0) into 0
12.521 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.521 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.521 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.521 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.521 * [backup-simplify]: Simplify (+ 0 0) into 0
12.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.522 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
12.522 * [taylor]: Taking taylor expansion of re in re
12.522 * [backup-simplify]: Simplify 0 into 0
12.522 * [backup-simplify]: Simplify 1 into 1
12.522 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.522 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.522 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.522 * [taylor]: Taking taylor expansion of (* re re) in re
12.522 * [taylor]: Taking taylor expansion of re in re
12.522 * [backup-simplify]: Simplify 0 into 0
12.522 * [backup-simplify]: Simplify 1 into 1
12.522 * [taylor]: Taking taylor expansion of re in re
12.522 * [backup-simplify]: Simplify 0 into 0
12.522 * [backup-simplify]: Simplify 1 into 1
12.522 * [taylor]: Taking taylor expansion of (* im im) in re
12.522 * [taylor]: Taking taylor expansion of im in re
12.522 * [backup-simplify]: Simplify im into im
12.522 * [taylor]: Taking taylor expansion of im in re
12.522 * [backup-simplify]: Simplify im into im
12.522 * [backup-simplify]: Simplify (* 0 0) into 0
12.522 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.522 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.523 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.523 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.523 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.523 * [backup-simplify]: Simplify (+ 0 0) into 0
12.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.523 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
12.523 * [taylor]: Taking taylor expansion of re in re
12.523 * [backup-simplify]: Simplify 0 into 0
12.524 * [backup-simplify]: Simplify 1 into 1
12.524 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.524 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.524 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.524 * [taylor]: Taking taylor expansion of (* re re) in re
12.524 * [taylor]: Taking taylor expansion of re in re
12.524 * [backup-simplify]: Simplify 0 into 0
12.524 * [backup-simplify]: Simplify 1 into 1
12.524 * [taylor]: Taking taylor expansion of re in re
12.524 * [backup-simplify]: Simplify 0 into 0
12.524 * [backup-simplify]: Simplify 1 into 1
12.524 * [taylor]: Taking taylor expansion of (* im im) in re
12.524 * [taylor]: Taking taylor expansion of im in re
12.524 * [backup-simplify]: Simplify im into im
12.524 * [taylor]: Taking taylor expansion of im in re
12.524 * [backup-simplify]: Simplify im into im
12.524 * [backup-simplify]: Simplify (* 0 0) into 0
12.524 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.524 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.524 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.525 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.525 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.525 * [backup-simplify]: Simplify (+ 0 0) into 0
12.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.525 * [backup-simplify]: Simplify (+ 0 im) into im
12.525 * [taylor]: Taking taylor expansion of im in im
12.525 * [backup-simplify]: Simplify 0 into 0
12.525 * [backup-simplify]: Simplify 1 into 1
12.525 * [backup-simplify]: Simplify 0 into 0
12.526 * [backup-simplify]: Simplify (+ 1 0) into 1
12.526 * [taylor]: Taking taylor expansion of 1 in im
12.526 * [backup-simplify]: Simplify 1 into 1
12.526 * [backup-simplify]: Simplify 1 into 1
12.526 * [backup-simplify]: Simplify 1 into 1
12.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.527 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.527 * [backup-simplify]: Simplify (+ 1 0) into 1
12.527 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.527 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
12.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
12.528 * [taylor]: Taking taylor expansion of 1/2 in im
12.528 * [backup-simplify]: Simplify 1/2 into 1/2
12.528 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.528 * [taylor]: Taking taylor expansion of im in im
12.528 * [backup-simplify]: Simplify 0 into 0
12.528 * [backup-simplify]: Simplify 1 into 1
12.528 * [backup-simplify]: Simplify (/ 1 1) into 1
12.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.530 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.530 * [backup-simplify]: Simplify (+ 0 0) into 0
12.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.531 * [backup-simplify]: Simplify (+ 0 0) into 0
12.531 * [taylor]: Taking taylor expansion of 0 in im
12.531 * [backup-simplify]: Simplify 0 into 0
12.531 * [backup-simplify]: Simplify 0 into 0
12.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.532 * [backup-simplify]: Simplify 0 into 0
12.532 * [backup-simplify]: Simplify 0 into 0
12.532 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
12.532 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
12.532 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
12.532 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
12.532 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.533 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.533 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.533 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.533 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.533 * [taylor]: Taking taylor expansion of re in im
12.533 * [backup-simplify]: Simplify re into re
12.533 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.533 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.533 * [taylor]: Taking taylor expansion of re in im
12.533 * [backup-simplify]: Simplify re into re
12.533 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.533 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.533 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.533 * [taylor]: Taking taylor expansion of im in im
12.533 * [backup-simplify]: Simplify 0 into 0
12.533 * [backup-simplify]: Simplify 1 into 1
12.533 * [backup-simplify]: Simplify (/ 1 1) into 1
12.533 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.533 * [taylor]: Taking taylor expansion of im in im
12.533 * [backup-simplify]: Simplify 0 into 0
12.533 * [backup-simplify]: Simplify 1 into 1
12.533 * [backup-simplify]: Simplify (/ 1 1) into 1
12.534 * [backup-simplify]: Simplify (* 1 1) into 1
12.534 * [backup-simplify]: Simplify (+ 0 1) into 1
12.534 * [backup-simplify]: Simplify (sqrt 1) into 1
12.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.536 * [backup-simplify]: Simplify (+ 0 0) into 0
12.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.536 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.536 * [taylor]: Taking taylor expansion of re in im
12.536 * [backup-simplify]: Simplify re into re
12.536 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.536 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
12.537 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.537 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.537 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.537 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.537 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.537 * [taylor]: Taking taylor expansion of re in re
12.537 * [backup-simplify]: Simplify 0 into 0
12.537 * [backup-simplify]: Simplify 1 into 1
12.537 * [backup-simplify]: Simplify (/ 1 1) into 1
12.537 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.537 * [taylor]: Taking taylor expansion of re in re
12.537 * [backup-simplify]: Simplify 0 into 0
12.537 * [backup-simplify]: Simplify 1 into 1
12.538 * [backup-simplify]: Simplify (/ 1 1) into 1
12.538 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.538 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.538 * [taylor]: Taking taylor expansion of im in re
12.538 * [backup-simplify]: Simplify im into im
12.538 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.538 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.538 * [taylor]: Taking taylor expansion of im in re
12.538 * [backup-simplify]: Simplify im into im
12.538 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.538 * [backup-simplify]: Simplify (* 1 1) into 1
12.538 * [backup-simplify]: Simplify (+ 1 0) into 1
12.539 * [backup-simplify]: Simplify (sqrt 1) into 1
12.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.540 * [backup-simplify]: Simplify (+ 0 0) into 0
12.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.541 * [taylor]: Taking taylor expansion of re in re
12.541 * [backup-simplify]: Simplify 0 into 0
12.541 * [backup-simplify]: Simplify 1 into 1
12.541 * [backup-simplify]: Simplify (/ 1 1) into 1
12.541 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
12.541 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.541 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.541 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.541 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.541 * [taylor]: Taking taylor expansion of re in re
12.541 * [backup-simplify]: Simplify 0 into 0
12.541 * [backup-simplify]: Simplify 1 into 1
12.541 * [backup-simplify]: Simplify (/ 1 1) into 1
12.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.541 * [taylor]: Taking taylor expansion of re in re
12.542 * [backup-simplify]: Simplify 0 into 0
12.542 * [backup-simplify]: Simplify 1 into 1
12.542 * [backup-simplify]: Simplify (/ 1 1) into 1
12.542 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.542 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.542 * [taylor]: Taking taylor expansion of im in re
12.542 * [backup-simplify]: Simplify im into im
12.542 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.542 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.542 * [taylor]: Taking taylor expansion of im in re
12.542 * [backup-simplify]: Simplify im into im
12.542 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.542 * [backup-simplify]: Simplify (* 1 1) into 1
12.543 * [backup-simplify]: Simplify (+ 1 0) into 1
12.543 * [backup-simplify]: Simplify (sqrt 1) into 1
12.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.544 * [backup-simplify]: Simplify (+ 0 0) into 0
12.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.545 * [taylor]: Taking taylor expansion of re in re
12.545 * [backup-simplify]: Simplify 0 into 0
12.545 * [backup-simplify]: Simplify 1 into 1
12.545 * [backup-simplify]: Simplify (/ 1 1) into 1
12.545 * [backup-simplify]: Simplify (+ 1 1) into 2
12.545 * [taylor]: Taking taylor expansion of 2 in im
12.545 * [backup-simplify]: Simplify 2 into 2
12.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.546 * [backup-simplify]: Simplify (+ 0 0) into 0
12.546 * [taylor]: Taking taylor expansion of 0 in im
12.546 * [backup-simplify]: Simplify 0 into 0
12.546 * [backup-simplify]: Simplify 2 into 2
12.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.548 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.548 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.549 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.550 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
12.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
12.550 * [taylor]: Taking taylor expansion of 1/2 in im
12.550 * [backup-simplify]: Simplify 1/2 into 1/2
12.550 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.550 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.550 * [taylor]: Taking taylor expansion of im in im
12.550 * [backup-simplify]: Simplify 0 into 0
12.550 * [backup-simplify]: Simplify 1 into 1
12.550 * [backup-simplify]: Simplify (* 1 1) into 1
12.550 * [backup-simplify]: Simplify (/ 1 1) into 1
12.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.552 * [backup-simplify]: Simplify 0 into 0
12.552 * [backup-simplify]: Simplify 0 into 0
12.552 * [backup-simplify]: Simplify 0 into 0
12.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.558 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.559 * [backup-simplify]: Simplify (+ 0 0) into 0
12.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.560 * [backup-simplify]: Simplify (+ 0 0) into 0
12.560 * [taylor]: Taking taylor expansion of 0 in im
12.560 * [backup-simplify]: Simplify 0 into 0
12.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.562 * [backup-simplify]: Simplify 0 into 0
12.562 * [backup-simplify]: Simplify 0 into 0
12.562 * [backup-simplify]: Simplify 0 into 0
12.562 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
12.562 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (pow (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/4) 3))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
12.562 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
12.562 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
12.562 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.563 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.563 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.563 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.563 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.563 * [taylor]: Taking taylor expansion of -1 in im
12.563 * [backup-simplify]: Simplify -1 into -1
12.563 * [taylor]: Taking taylor expansion of re in im
12.563 * [backup-simplify]: Simplify re into re
12.563 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.563 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.563 * [taylor]: Taking taylor expansion of -1 in im
12.563 * [backup-simplify]: Simplify -1 into -1
12.563 * [taylor]: Taking taylor expansion of re in im
12.563 * [backup-simplify]: Simplify re into re
12.563 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.563 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.563 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.563 * [taylor]: Taking taylor expansion of -1 in im
12.563 * [backup-simplify]: Simplify -1 into -1
12.563 * [taylor]: Taking taylor expansion of im in im
12.563 * [backup-simplify]: Simplify 0 into 0
12.563 * [backup-simplify]: Simplify 1 into 1
12.563 * [backup-simplify]: Simplify (/ -1 1) into -1
12.563 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.563 * [taylor]: Taking taylor expansion of -1 in im
12.563 * [backup-simplify]: Simplify -1 into -1
12.563 * [taylor]: Taking taylor expansion of im in im
12.563 * [backup-simplify]: Simplify 0 into 0
12.563 * [backup-simplify]: Simplify 1 into 1
12.564 * [backup-simplify]: Simplify (/ -1 1) into -1
12.564 * [backup-simplify]: Simplify (* -1 -1) into 1
12.564 * [backup-simplify]: Simplify (+ 0 1) into 1
12.564 * [backup-simplify]: Simplify (sqrt 1) into 1
12.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.566 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.566 * [backup-simplify]: Simplify (+ 0 0) into 0
12.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.567 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.567 * [taylor]: Taking taylor expansion of re in im
12.567 * [backup-simplify]: Simplify re into re
12.567 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.567 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
12.567 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.567 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.567 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.567 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.567 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.567 * [taylor]: Taking taylor expansion of -1 in re
12.567 * [backup-simplify]: Simplify -1 into -1
12.567 * [taylor]: Taking taylor expansion of re in re
12.567 * [backup-simplify]: Simplify 0 into 0
12.567 * [backup-simplify]: Simplify 1 into 1
12.567 * [backup-simplify]: Simplify (/ -1 1) into -1
12.567 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.567 * [taylor]: Taking taylor expansion of -1 in re
12.567 * [backup-simplify]: Simplify -1 into -1
12.567 * [taylor]: Taking taylor expansion of re in re
12.567 * [backup-simplify]: Simplify 0 into 0
12.567 * [backup-simplify]: Simplify 1 into 1
12.568 * [backup-simplify]: Simplify (/ -1 1) into -1
12.568 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.568 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.568 * [taylor]: Taking taylor expansion of -1 in re
12.568 * [backup-simplify]: Simplify -1 into -1
12.568 * [taylor]: Taking taylor expansion of im in re
12.568 * [backup-simplify]: Simplify im into im
12.568 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.568 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.568 * [taylor]: Taking taylor expansion of -1 in re
12.568 * [backup-simplify]: Simplify -1 into -1
12.568 * [taylor]: Taking taylor expansion of im in re
12.568 * [backup-simplify]: Simplify im into im
12.568 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.568 * [backup-simplify]: Simplify (* -1 -1) into 1
12.568 * [backup-simplify]: Simplify (+ 1 0) into 1
12.569 * [backup-simplify]: Simplify (sqrt 1) into 1
12.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.570 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.570 * [backup-simplify]: Simplify (+ 0 0) into 0
12.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.571 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.571 * [taylor]: Taking taylor expansion of re in re
12.571 * [backup-simplify]: Simplify 0 into 0
12.571 * [backup-simplify]: Simplify 1 into 1
12.571 * [backup-simplify]: Simplify (/ 1 1) into 1
12.571 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
12.571 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.571 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.571 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.571 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.571 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.571 * [taylor]: Taking taylor expansion of -1 in re
12.571 * [backup-simplify]: Simplify -1 into -1
12.571 * [taylor]: Taking taylor expansion of re in re
12.571 * [backup-simplify]: Simplify 0 into 0
12.571 * [backup-simplify]: Simplify 1 into 1
12.572 * [backup-simplify]: Simplify (/ -1 1) into -1
12.572 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.572 * [taylor]: Taking taylor expansion of -1 in re
12.572 * [backup-simplify]: Simplify -1 into -1
12.572 * [taylor]: Taking taylor expansion of re in re
12.572 * [backup-simplify]: Simplify 0 into 0
12.572 * [backup-simplify]: Simplify 1 into 1
12.572 * [backup-simplify]: Simplify (/ -1 1) into -1
12.572 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.572 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.572 * [taylor]: Taking taylor expansion of -1 in re
12.572 * [backup-simplify]: Simplify -1 into -1
12.572 * [taylor]: Taking taylor expansion of im in re
12.572 * [backup-simplify]: Simplify im into im
12.572 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.572 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.572 * [taylor]: Taking taylor expansion of -1 in re
12.572 * [backup-simplify]: Simplify -1 into -1
12.572 * [taylor]: Taking taylor expansion of im in re
12.572 * [backup-simplify]: Simplify im into im
12.572 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.573 * [backup-simplify]: Simplify (* -1 -1) into 1
12.573 * [backup-simplify]: Simplify (+ 1 0) into 1
12.573 * [backup-simplify]: Simplify (sqrt 1) into 1
12.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.575 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.575 * [backup-simplify]: Simplify (+ 0 0) into 0
12.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.575 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.575 * [taylor]: Taking taylor expansion of re in re
12.575 * [backup-simplify]: Simplify 0 into 0
12.575 * [backup-simplify]: Simplify 1 into 1
12.576 * [backup-simplify]: Simplify (/ 1 1) into 1
12.576 * [backup-simplify]: Simplify (- 1) into -1
12.576 * [backup-simplify]: Simplify (+ 1 -1) into 0
12.576 * [taylor]: Taking taylor expansion of 0 in im
12.576 * [backup-simplify]: Simplify 0 into 0
12.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.577 * [backup-simplify]: Simplify (- 0) into 0
12.577 * [backup-simplify]: Simplify (+ 0 0) into 0
12.577 * [taylor]: Taking taylor expansion of 0 in im
12.577 * [backup-simplify]: Simplify 0 into 0
12.577 * [backup-simplify]: Simplify 0 into 0
12.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.579 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.579 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.579 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.580 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.581 * [backup-simplify]: Simplify (- 0) into 0
12.581 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
12.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
12.581 * [taylor]: Taking taylor expansion of 1/2 in im
12.581 * [backup-simplify]: Simplify 1/2 into 1/2
12.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.581 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.581 * [taylor]: Taking taylor expansion of im in im
12.581 * [backup-simplify]: Simplify 0 into 0
12.581 * [backup-simplify]: Simplify 1 into 1
12.581 * [backup-simplify]: Simplify (* 1 1) into 1
12.582 * [backup-simplify]: Simplify (/ 1 1) into 1
12.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.583 * [backup-simplify]: Simplify 0 into 0
12.583 * [backup-simplify]: Simplify 0 into 0
12.583 * [backup-simplify]: Simplify 0 into 0
12.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.585 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.585 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.585 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.585 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.585 * [backup-simplify]: Simplify (+ 0 0) into 0
12.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.587 * [backup-simplify]: Simplify (- 0) into 0
12.587 * [backup-simplify]: Simplify (+ 0 0) into 0
12.587 * [taylor]: Taking taylor expansion of 0 in im
12.587 * [backup-simplify]: Simplify 0 into 0
12.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.589 * [backup-simplify]: Simplify 0 into 0
12.589 * [backup-simplify]: Simplify 0 into 0
12.589 * [backup-simplify]: Simplify 0 into 0
12.589 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2)
12.589 * [backup-simplify]: Simplify (pow (pow (hypot re im) 1/4) 3) into (pow (pow (hypot re im) 1/4) 3)
12.589 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in (re im) around 0
12.589 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in im
12.589 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im
12.589 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im
12.589 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im
12.589 * [taylor]: Taking taylor expansion of 1/4 in im
12.589 * [backup-simplify]: Simplify 1/4 into 1/4
12.589 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
12.589 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.590 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.590 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.590 * [taylor]: Taking taylor expansion of (* re re) in im
12.590 * [taylor]: Taking taylor expansion of re in im
12.590 * [backup-simplify]: Simplify re into re
12.590 * [taylor]: Taking taylor expansion of re in im
12.590 * [backup-simplify]: Simplify re into re
12.590 * [taylor]: Taking taylor expansion of (* im im) in im
12.590 * [taylor]: Taking taylor expansion of im in im
12.590 * [backup-simplify]: Simplify 0 into 0
12.590 * [backup-simplify]: Simplify 1 into 1
12.590 * [taylor]: Taking taylor expansion of im in im
12.590 * [backup-simplify]: Simplify 0 into 0
12.590 * [backup-simplify]: Simplify 1 into 1
12.590 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.590 * [backup-simplify]: Simplify (* 0 0) into 0
12.590 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.590 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.590 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.591 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.591 * [backup-simplify]: Simplify (+ 0 0) into 0
12.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.591 * [backup-simplify]: Simplify (log re) into (log re)
12.591 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re))
12.591 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4)
12.591 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re
12.591 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
12.591 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
12.591 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
12.591 * [taylor]: Taking taylor expansion of 1/4 in re
12.591 * [backup-simplify]: Simplify 1/4 into 1/4
12.591 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
12.591 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.592 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.592 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.592 * [taylor]: Taking taylor expansion of (* re re) in re
12.592 * [taylor]: Taking taylor expansion of re in re
12.592 * [backup-simplify]: Simplify 0 into 0
12.592 * [backup-simplify]: Simplify 1 into 1
12.592 * [taylor]: Taking taylor expansion of re in re
12.592 * [backup-simplify]: Simplify 0 into 0
12.592 * [backup-simplify]: Simplify 1 into 1
12.592 * [taylor]: Taking taylor expansion of (* im im) in re
12.592 * [taylor]: Taking taylor expansion of im in re
12.592 * [backup-simplify]: Simplify im into im
12.592 * [taylor]: Taking taylor expansion of im in re
12.592 * [backup-simplify]: Simplify im into im
12.592 * [backup-simplify]: Simplify (* 0 0) into 0
12.592 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.592 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.592 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.593 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.593 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.593 * [backup-simplify]: Simplify (+ 0 0) into 0
12.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.593 * [backup-simplify]: Simplify (log im) into (log im)
12.593 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
12.593 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
12.593 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re
12.593 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
12.593 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
12.593 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
12.593 * [taylor]: Taking taylor expansion of 1/4 in re
12.593 * [backup-simplify]: Simplify 1/4 into 1/4
12.593 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
12.593 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.594 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.594 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.594 * [taylor]: Taking taylor expansion of (* re re) in re
12.594 * [taylor]: Taking taylor expansion of re in re
12.594 * [backup-simplify]: Simplify 0 into 0
12.594 * [backup-simplify]: Simplify 1 into 1
12.594 * [taylor]: Taking taylor expansion of re in re
12.594 * [backup-simplify]: Simplify 0 into 0
12.594 * [backup-simplify]: Simplify 1 into 1
12.594 * [taylor]: Taking taylor expansion of (* im im) in re
12.594 * [taylor]: Taking taylor expansion of im in re
12.594 * [backup-simplify]: Simplify im into im
12.594 * [taylor]: Taking taylor expansion of im in re
12.594 * [backup-simplify]: Simplify im into im
12.594 * [backup-simplify]: Simplify (* 0 0) into 0
12.594 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.594 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.594 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.595 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.595 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.595 * [backup-simplify]: Simplify (+ 0 0) into 0
12.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.595 * [backup-simplify]: Simplify (log im) into (log im)
12.595 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
12.595 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
12.595 * [backup-simplify]: Simplify (* (pow im 1/4) (pow im 1/4)) into (sqrt im)
12.595 * [backup-simplify]: Simplify (* (pow im 1/4) (sqrt im)) into (pow (pow im 3) 1/4)
12.596 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im
12.596 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
12.596 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im
12.596 * [taylor]: Taking taylor expansion of 1/4 in im
12.596 * [backup-simplify]: Simplify 1/4 into 1/4
12.596 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im
12.596 * [taylor]: Taking taylor expansion of (pow im 3) in im
12.596 * [taylor]: Taking taylor expansion of im in im
12.596 * [backup-simplify]: Simplify 0 into 0
12.596 * [backup-simplify]: Simplify 1 into 1
12.596 * [backup-simplify]: Simplify (* 1 1) into 1
12.596 * [backup-simplify]: Simplify (* 1 1) into 1
12.596 * [backup-simplify]: Simplify (log 1) into 0
12.597 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
12.597 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im))
12.597 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4)
12.597 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4)
12.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
12.598 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0
12.599 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
12.599 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (pow im 1/4))) into 0
12.599 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (sqrt im))) into 0
12.599 * [taylor]: Taking taylor expansion of 0 in im
12.599 * [backup-simplify]: Simplify 0 into 0
12.599 * [backup-simplify]: Simplify 0 into 0
12.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.601 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.601 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
12.601 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
12.602 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
12.602 * [backup-simplify]: Simplify 0 into 0
12.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.603 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.603 * [backup-simplify]: Simplify (+ 1 0) into 1
12.604 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.605 * [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))
12.606 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2)))
12.607 * [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))
12.608 * [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))))
12.609 * [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))
12.609 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
12.609 * [taylor]: Taking taylor expansion of 3/8 in im
12.609 * [backup-simplify]: Simplify 3/8 into 3/8
12.610 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
12.610 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
12.610 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im
12.610 * [taylor]: Taking taylor expansion of 1/4 in im
12.610 * [backup-simplify]: Simplify 1/4 into 1/4
12.610 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
12.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
12.610 * [taylor]: Taking taylor expansion of (pow im 5) in im
12.610 * [taylor]: Taking taylor expansion of im in im
12.610 * [backup-simplify]: Simplify 0 into 0
12.610 * [backup-simplify]: Simplify 1 into 1
12.610 * [backup-simplify]: Simplify (* 1 1) into 1
12.611 * [backup-simplify]: Simplify (* 1 1) into 1
12.611 * [backup-simplify]: Simplify (* 1 1) into 1
12.611 * [backup-simplify]: Simplify (/ 1 1) into 1
12.612 * [backup-simplify]: Simplify (log 1) into 0
12.612 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
12.612 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
12.613 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
12.613 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
12.613 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
12.613 * [backup-simplify]: Simplify 0 into 0
12.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
12.619 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
12.620 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
12.621 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.621 * [backup-simplify]: Simplify 0 into 0
12.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.623 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.624 * [backup-simplify]: Simplify (+ 0 0) into 0
12.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.627 * [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
12.628 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
12.630 * [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
12.631 * [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
12.631 * [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
12.632 * [taylor]: Taking taylor expansion of 0 in im
12.632 * [backup-simplify]: Simplify 0 into 0
12.632 * [backup-simplify]: Simplify 0 into 0
12.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.634 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
12.635 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
12.635 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
12.636 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
12.636 * [backup-simplify]: Simplify 0 into 0
12.636 * [backup-simplify]: Simplify 0 into 0
12.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.640 * [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
12.640 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
12.641 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
12.642 * [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
12.642 * [backup-simplify]: Simplify 0 into 0
12.643 * [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))))
12.643 * [backup-simplify]: Simplify (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3)
12.643 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in (re im) around 0
12.643 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in im
12.643 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im
12.643 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im
12.643 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im
12.643 * [taylor]: Taking taylor expansion of 1/4 in im
12.643 * [backup-simplify]: Simplify 1/4 into 1/4
12.643 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
12.643 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.643 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.643 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.643 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.643 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.643 * [taylor]: Taking taylor expansion of re in im
12.643 * [backup-simplify]: Simplify re into re
12.643 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.643 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.643 * [taylor]: Taking taylor expansion of re in im
12.643 * [backup-simplify]: Simplify re into re
12.643 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.643 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.643 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.643 * [taylor]: Taking taylor expansion of im in im
12.643 * [backup-simplify]: Simplify 0 into 0
12.643 * [backup-simplify]: Simplify 1 into 1
12.644 * [backup-simplify]: Simplify (/ 1 1) into 1
12.644 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.644 * [taylor]: Taking taylor expansion of im in im
12.644 * [backup-simplify]: Simplify 0 into 0
12.644 * [backup-simplify]: Simplify 1 into 1
12.644 * [backup-simplify]: Simplify (/ 1 1) into 1
12.644 * [backup-simplify]: Simplify (* 1 1) into 1
12.644 * [backup-simplify]: Simplify (+ 0 1) into 1
12.645 * [backup-simplify]: Simplify (sqrt 1) into 1
12.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.646 * [backup-simplify]: Simplify (+ 0 0) into 0
12.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.647 * [backup-simplify]: Simplify (log 1) into 0
12.647 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
12.647 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
12.647 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
12.647 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re
12.647 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
12.647 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
12.648 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
12.648 * [taylor]: Taking taylor expansion of 1/4 in re
12.648 * [backup-simplify]: Simplify 1/4 into 1/4
12.648 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
12.648 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.648 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.648 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.648 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.648 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.648 * [taylor]: Taking taylor expansion of re in re
12.648 * [backup-simplify]: Simplify 0 into 0
12.648 * [backup-simplify]: Simplify 1 into 1
12.648 * [backup-simplify]: Simplify (/ 1 1) into 1
12.648 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.648 * [taylor]: Taking taylor expansion of re in re
12.648 * [backup-simplify]: Simplify 0 into 0
12.648 * [backup-simplify]: Simplify 1 into 1
12.648 * [backup-simplify]: Simplify (/ 1 1) into 1
12.648 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.648 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.648 * [taylor]: Taking taylor expansion of im in re
12.648 * [backup-simplify]: Simplify im into im
12.649 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.649 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.649 * [taylor]: Taking taylor expansion of im in re
12.649 * [backup-simplify]: Simplify im into im
12.649 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.649 * [backup-simplify]: Simplify (* 1 1) into 1
12.649 * [backup-simplify]: Simplify (+ 1 0) into 1
12.649 * [backup-simplify]: Simplify (sqrt 1) into 1
12.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.651 * [backup-simplify]: Simplify (+ 0 0) into 0
12.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.652 * [backup-simplify]: Simplify (log 1) into 0
12.652 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.652 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
12.652 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
12.652 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re
12.652 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
12.652 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
12.652 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
12.652 * [taylor]: Taking taylor expansion of 1/4 in re
12.652 * [backup-simplify]: Simplify 1/4 into 1/4
12.652 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
12.652 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.652 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.652 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.652 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.652 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.652 * [taylor]: Taking taylor expansion of re in re
12.652 * [backup-simplify]: Simplify 0 into 0
12.652 * [backup-simplify]: Simplify 1 into 1
12.653 * [backup-simplify]: Simplify (/ 1 1) into 1
12.653 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.653 * [taylor]: Taking taylor expansion of re in re
12.653 * [backup-simplify]: Simplify 0 into 0
12.653 * [backup-simplify]: Simplify 1 into 1
12.653 * [backup-simplify]: Simplify (/ 1 1) into 1
12.653 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.653 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.653 * [taylor]: Taking taylor expansion of im in re
12.653 * [backup-simplify]: Simplify im into im
12.653 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.653 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.653 * [taylor]: Taking taylor expansion of im in re
12.653 * [backup-simplify]: Simplify im into im
12.653 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.653 * [backup-simplify]: Simplify (* 1 1) into 1
12.654 * [backup-simplify]: Simplify (+ 1 0) into 1
12.654 * [backup-simplify]: Simplify (sqrt 1) into 1
12.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.656 * [backup-simplify]: Simplify (+ 0 0) into 0
12.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.656 * [backup-simplify]: Simplify (log 1) into 0
12.657 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.657 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
12.657 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
12.657 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
12.657 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
12.657 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
12.657 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
12.657 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
12.657 * [taylor]: Taking taylor expansion of 1/4 in im
12.657 * [backup-simplify]: Simplify 1/4 into 1/4
12.657 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
12.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
12.657 * [taylor]: Taking taylor expansion of (pow re 3) in im
12.657 * [taylor]: Taking taylor expansion of re in im
12.657 * [backup-simplify]: Simplify re into re
12.657 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.657 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
12.657 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
12.657 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
12.658 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
12.658 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
12.658 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
12.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.659 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.659 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
12.660 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.660 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
12.660 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
12.660 * [taylor]: Taking taylor expansion of 0 in im
12.660 * [backup-simplify]: Simplify 0 into 0
12.660 * [backup-simplify]: Simplify 0 into 0
12.660 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.660 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
12.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
12.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
12.662 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
12.662 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.662 * [backup-simplify]: Simplify 0 into 0
12.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.664 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.665 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.666 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.672 * [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))
12.673 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.673 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
12.674 * [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))))
12.676 * [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))))
12.677 * [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))))
12.677 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
12.677 * [taylor]: Taking taylor expansion of 3/8 in im
12.677 * [backup-simplify]: Simplify 3/8 into 3/8
12.677 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
12.677 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
12.677 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
12.677 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
12.677 * [taylor]: Taking taylor expansion of 1/4 in im
12.677 * [backup-simplify]: Simplify 1/4 into 1/4
12.677 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
12.677 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
12.677 * [taylor]: Taking taylor expansion of (pow re 3) in im
12.677 * [taylor]: Taking taylor expansion of re in im
12.677 * [backup-simplify]: Simplify re into re
12.678 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.678 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
12.678 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
12.678 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
12.678 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
12.679 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
12.679 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.679 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.679 * [taylor]: Taking taylor expansion of im in im
12.679 * [backup-simplify]: Simplify 0 into 0
12.679 * [backup-simplify]: Simplify 1 into 1
12.679 * [backup-simplify]: Simplify (* 1 1) into 1
12.680 * [backup-simplify]: Simplify (/ 1 1) into 1
12.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.684 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.684 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
12.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
12.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
12.686 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
12.687 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.688 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
12.689 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
12.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
12.692 * [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
12.693 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
12.694 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.695 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
12.696 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
12.696 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
12.697 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
12.697 * [backup-simplify]: Simplify 0 into 0
12.697 * [backup-simplify]: Simplify 0 into 0
12.698 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
12.698 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
12.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
12.701 * [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
12.702 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
12.704 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.704 * [backup-simplify]: Simplify 0 into 0
12.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.707 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.708 * [backup-simplify]: Simplify (+ 0 0) into 0
12.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.712 * [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
12.713 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
12.716 * [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
12.718 * [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
12.719 * [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
12.719 * [taylor]: Taking taylor expansion of 0 in im
12.719 * [backup-simplify]: Simplify 0 into 0
12.719 * [backup-simplify]: Simplify 0 into 0
12.719 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4)
12.719 * [backup-simplify]: Simplify (pow (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/4) 3) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3)
12.719 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in (re im) around 0
12.719 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in im
12.719 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im
12.719 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im
12.719 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im
12.720 * [taylor]: Taking taylor expansion of 1/4 in im
12.720 * [backup-simplify]: Simplify 1/4 into 1/4
12.720 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
12.720 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.720 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.720 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.720 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.720 * [taylor]: Taking taylor expansion of -1 in im
12.720 * [backup-simplify]: Simplify -1 into -1
12.720 * [taylor]: Taking taylor expansion of re in im
12.720 * [backup-simplify]: Simplify re into re
12.720 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.720 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.720 * [taylor]: Taking taylor expansion of -1 in im
12.720 * [backup-simplify]: Simplify -1 into -1
12.720 * [taylor]: Taking taylor expansion of re in im
12.720 * [backup-simplify]: Simplify re into re
12.720 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.720 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.720 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.720 * [taylor]: Taking taylor expansion of -1 in im
12.720 * [backup-simplify]: Simplify -1 into -1
12.720 * [taylor]: Taking taylor expansion of im in im
12.720 * [backup-simplify]: Simplify 0 into 0
12.720 * [backup-simplify]: Simplify 1 into 1
12.721 * [backup-simplify]: Simplify (/ -1 1) into -1
12.721 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.721 * [taylor]: Taking taylor expansion of -1 in im
12.721 * [backup-simplify]: Simplify -1 into -1
12.721 * [taylor]: Taking taylor expansion of im in im
12.721 * [backup-simplify]: Simplify 0 into 0
12.721 * [backup-simplify]: Simplify 1 into 1
12.722 * [backup-simplify]: Simplify (/ -1 1) into -1
12.722 * [backup-simplify]: Simplify (* -1 -1) into 1
12.723 * [backup-simplify]: Simplify (+ 0 1) into 1
12.723 * [backup-simplify]: Simplify (sqrt 1) into 1
12.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.725 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.726 * [backup-simplify]: Simplify (+ 0 0) into 0
12.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.727 * [backup-simplify]: Simplify (log 1) into 0
12.728 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
12.728 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
12.728 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
12.728 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re
12.728 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
12.728 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
12.728 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
12.728 * [taylor]: Taking taylor expansion of 1/4 in re
12.728 * [backup-simplify]: Simplify 1/4 into 1/4
12.728 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
12.728 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.728 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.728 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.728 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.728 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.728 * [taylor]: Taking taylor expansion of -1 in re
12.728 * [backup-simplify]: Simplify -1 into -1
12.728 * [taylor]: Taking taylor expansion of re in re
12.728 * [backup-simplify]: Simplify 0 into 0
12.728 * [backup-simplify]: Simplify 1 into 1
12.729 * [backup-simplify]: Simplify (/ -1 1) into -1
12.729 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.729 * [taylor]: Taking taylor expansion of -1 in re
12.729 * [backup-simplify]: Simplify -1 into -1
12.729 * [taylor]: Taking taylor expansion of re in re
12.729 * [backup-simplify]: Simplify 0 into 0
12.729 * [backup-simplify]: Simplify 1 into 1
12.730 * [backup-simplify]: Simplify (/ -1 1) into -1
12.730 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.730 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.730 * [taylor]: Taking taylor expansion of -1 in re
12.730 * [backup-simplify]: Simplify -1 into -1
12.730 * [taylor]: Taking taylor expansion of im in re
12.730 * [backup-simplify]: Simplify im into im
12.730 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.730 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.730 * [taylor]: Taking taylor expansion of -1 in re
12.730 * [backup-simplify]: Simplify -1 into -1
12.730 * [taylor]: Taking taylor expansion of im in re
12.730 * [backup-simplify]: Simplify im into im
12.730 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.730 * [backup-simplify]: Simplify (* -1 -1) into 1
12.731 * [backup-simplify]: Simplify (+ 1 0) into 1
12.731 * [backup-simplify]: Simplify (sqrt 1) into 1
12.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.734 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.734 * [backup-simplify]: Simplify (+ 0 0) into 0
12.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.735 * [backup-simplify]: Simplify (log 1) into 0
12.736 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.736 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
12.736 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
12.736 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re
12.736 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
12.736 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
12.736 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
12.736 * [taylor]: Taking taylor expansion of 1/4 in re
12.736 * [backup-simplify]: Simplify 1/4 into 1/4
12.736 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
12.736 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.736 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.736 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.737 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.737 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.737 * [taylor]: Taking taylor expansion of -1 in re
12.737 * [backup-simplify]: Simplify -1 into -1
12.737 * [taylor]: Taking taylor expansion of re in re
12.737 * [backup-simplify]: Simplify 0 into 0
12.737 * [backup-simplify]: Simplify 1 into 1
12.737 * [backup-simplify]: Simplify (/ -1 1) into -1
12.737 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.737 * [taylor]: Taking taylor expansion of -1 in re
12.737 * [backup-simplify]: Simplify -1 into -1
12.737 * [taylor]: Taking taylor expansion of re in re
12.737 * [backup-simplify]: Simplify 0 into 0
12.737 * [backup-simplify]: Simplify 1 into 1
12.738 * [backup-simplify]: Simplify (/ -1 1) into -1
12.738 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.738 * [taylor]: Taking taylor expansion of -1 in re
12.738 * [backup-simplify]: Simplify -1 into -1
12.738 * [taylor]: Taking taylor expansion of im in re
12.738 * [backup-simplify]: Simplify im into im
12.738 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.738 * [taylor]: Taking taylor expansion of -1 in re
12.738 * [backup-simplify]: Simplify -1 into -1
12.738 * [taylor]: Taking taylor expansion of im in re
12.738 * [backup-simplify]: Simplify im into im
12.738 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.739 * [backup-simplify]: Simplify (* -1 -1) into 1
12.739 * [backup-simplify]: Simplify (+ 1 0) into 1
12.740 * [backup-simplify]: Simplify (sqrt 1) into 1
12.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.742 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.742 * [backup-simplify]: Simplify (+ 0 0) into 0
12.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.744 * [backup-simplify]: Simplify (log 1) into 0
12.744 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.744 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
12.744 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
12.745 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
12.745 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
12.745 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
12.745 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
12.745 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
12.745 * [taylor]: Taking taylor expansion of 1/4 in im
12.745 * [backup-simplify]: Simplify 1/4 into 1/4
12.745 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
12.745 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
12.745 * [taylor]: Taking taylor expansion of (pow re 3) in im
12.745 * [taylor]: Taking taylor expansion of re in im
12.745 * [backup-simplify]: Simplify re into re
12.745 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.745 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
12.746 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
12.746 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
12.746 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
12.746 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
12.746 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
12.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.749 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.749 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
12.750 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.751 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
12.751 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
12.751 * [taylor]: Taking taylor expansion of 0 in im
12.751 * [backup-simplify]: Simplify 0 into 0
12.751 * [backup-simplify]: Simplify 0 into 0
12.751 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.751 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
12.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
12.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
12.753 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
12.754 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.754 * [backup-simplify]: Simplify 0 into 0
12.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.758 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.758 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.758 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.759 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.762 * [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))
12.762 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.763 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
12.764 * [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))))
12.766 * [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))))
12.767 * [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))))
12.768 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
12.768 * [taylor]: Taking taylor expansion of 3/8 in im
12.768 * [backup-simplify]: Simplify 3/8 into 3/8
12.768 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
12.768 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
12.768 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
12.768 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
12.768 * [taylor]: Taking taylor expansion of 1/4 in im
12.768 * [backup-simplify]: Simplify 1/4 into 1/4
12.768 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
12.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
12.768 * [taylor]: Taking taylor expansion of (pow re 3) in im
12.768 * [taylor]: Taking taylor expansion of re in im
12.768 * [backup-simplify]: Simplify re into re
12.768 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.768 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
12.768 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
12.769 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
12.769 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
12.769 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
12.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.769 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.769 * [taylor]: Taking taylor expansion of im in im
12.769 * [backup-simplify]: Simplify 0 into 0
12.769 * [backup-simplify]: Simplify 1 into 1
12.770 * [backup-simplify]: Simplify (* 1 1) into 1
12.770 * [backup-simplify]: Simplify (/ 1 1) into 1
12.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.774 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.774 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
12.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
12.775 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
12.776 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
12.777 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.777 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
12.778 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
12.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
12.781 * [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
12.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
12.783 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.784 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
12.785 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
12.785 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
12.786 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
12.786 * [backup-simplify]: Simplify 0 into 0
12.786 * [backup-simplify]: Simplify 0 into 0
12.787 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
12.788 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
12.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
12.790 * [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
12.791 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
12.793 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.793 * [backup-simplify]: Simplify 0 into 0
12.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.796 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.796 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.797 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.797 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.797 * [backup-simplify]: Simplify (+ 0 0) into 0
12.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.802 * [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
12.802 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.803 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
12.806 * [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
12.807 * [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
12.808 * [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
12.808 * [taylor]: Taking taylor expansion of 0 in im
12.808 * [backup-simplify]: Simplify 0 into 0
12.808 * [backup-simplify]: Simplify 0 into 0
12.809 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4)
12.809 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2)
12.809 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)) into (hypot re im)
12.809 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
12.809 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.810 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.810 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.810 * [taylor]: Taking taylor expansion of (* re re) in im
12.810 * [taylor]: Taking taylor expansion of re in im
12.810 * [backup-simplify]: Simplify re into re
12.810 * [taylor]: Taking taylor expansion of re in im
12.810 * [backup-simplify]: Simplify re into re
12.810 * [taylor]: Taking taylor expansion of (* im im) in im
12.810 * [taylor]: Taking taylor expansion of im in im
12.810 * [backup-simplify]: Simplify 0 into 0
12.810 * [backup-simplify]: Simplify 1 into 1
12.810 * [taylor]: Taking taylor expansion of im in im
12.810 * [backup-simplify]: Simplify 0 into 0
12.810 * [backup-simplify]: Simplify 1 into 1
12.810 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.810 * [backup-simplify]: Simplify (* 0 0) into 0
12.811 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.811 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.811 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.812 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.812 * [backup-simplify]: Simplify (+ 0 0) into 0
12.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.812 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.812 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.812 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.812 * [taylor]: Taking taylor expansion of (* re re) in re
12.812 * [taylor]: Taking taylor expansion of re in re
12.812 * [backup-simplify]: Simplify 0 into 0
12.813 * [backup-simplify]: Simplify 1 into 1
12.813 * [taylor]: Taking taylor expansion of re in re
12.813 * [backup-simplify]: Simplify 0 into 0
12.813 * [backup-simplify]: Simplify 1 into 1
12.813 * [taylor]: Taking taylor expansion of (* im im) in re
12.813 * [taylor]: Taking taylor expansion of im in re
12.813 * [backup-simplify]: Simplify im into im
12.813 * [taylor]: Taking taylor expansion of im in re
12.813 * [backup-simplify]: Simplify im into im
12.813 * [backup-simplify]: Simplify (* 0 0) into 0
12.813 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.813 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.814 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.814 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.814 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.815 * [backup-simplify]: Simplify (+ 0 0) into 0
12.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.815 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.815 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.815 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.815 * [taylor]: Taking taylor expansion of (* re re) in re
12.815 * [taylor]: Taking taylor expansion of re in re
12.815 * [backup-simplify]: Simplify 0 into 0
12.815 * [backup-simplify]: Simplify 1 into 1
12.815 * [taylor]: Taking taylor expansion of re in re
12.815 * [backup-simplify]: Simplify 0 into 0
12.815 * [backup-simplify]: Simplify 1 into 1
12.815 * [taylor]: Taking taylor expansion of (* im im) in re
12.815 * [taylor]: Taking taylor expansion of im in re
12.815 * [backup-simplify]: Simplify im into im
12.815 * [taylor]: Taking taylor expansion of im in re
12.815 * [backup-simplify]: Simplify im into im
12.816 * [backup-simplify]: Simplify (* 0 0) into 0
12.816 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.816 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.816 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.816 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.816 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.817 * [backup-simplify]: Simplify (+ 0 0) into 0
12.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.817 * [taylor]: Taking taylor expansion of im in im
12.817 * [backup-simplify]: Simplify 0 into 0
12.817 * [backup-simplify]: Simplify 1 into 1
12.817 * [backup-simplify]: Simplify 0 into 0
12.817 * [taylor]: Taking taylor expansion of 0 in im
12.817 * [backup-simplify]: Simplify 0 into 0
12.817 * [backup-simplify]: Simplify 0 into 0
12.817 * [backup-simplify]: Simplify 1 into 1
12.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.818 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.818 * [backup-simplify]: Simplify (+ 1 0) into 1
12.818 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.819 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
12.819 * [taylor]: Taking taylor expansion of 1/2 in im
12.819 * [backup-simplify]: Simplify 1/2 into 1/2
12.819 * [taylor]: Taking taylor expansion of im in im
12.819 * [backup-simplify]: Simplify 0 into 0
12.819 * [backup-simplify]: Simplify 1 into 1
12.819 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.819 * [backup-simplify]: Simplify 0 into 0
12.819 * [backup-simplify]: Simplify 0 into 0
12.820 * [backup-simplify]: Simplify 0 into 0
12.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.821 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.821 * [backup-simplify]: Simplify (+ 0 0) into 0
12.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.821 * [taylor]: Taking taylor expansion of 0 in im
12.821 * [backup-simplify]: Simplify 0 into 0
12.821 * [backup-simplify]: Simplify 0 into 0
12.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.822 * [backup-simplify]: Simplify 0 into 0
12.822 * [backup-simplify]: Simplify 0 into 0
12.822 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
12.822 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3)) into (hypot (/ 1 re) (/ 1 im))
12.822 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
12.822 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.822 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.822 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.822 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.822 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.822 * [taylor]: Taking taylor expansion of re in im
12.823 * [backup-simplify]: Simplify re into re
12.823 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.823 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.823 * [taylor]: Taking taylor expansion of re in im
12.823 * [backup-simplify]: Simplify re into re
12.823 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.823 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.823 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.823 * [taylor]: Taking taylor expansion of im in im
12.823 * [backup-simplify]: Simplify 0 into 0
12.823 * [backup-simplify]: Simplify 1 into 1
12.823 * [backup-simplify]: Simplify (/ 1 1) into 1
12.823 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.823 * [taylor]: Taking taylor expansion of im in im
12.823 * [backup-simplify]: Simplify 0 into 0
12.823 * [backup-simplify]: Simplify 1 into 1
12.823 * [backup-simplify]: Simplify (/ 1 1) into 1
12.824 * [backup-simplify]: Simplify (* 1 1) into 1
12.824 * [backup-simplify]: Simplify (+ 0 1) into 1
12.824 * [backup-simplify]: Simplify (sqrt 1) into 1
12.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.826 * [backup-simplify]: Simplify (+ 0 0) into 0
12.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.826 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.827 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.827 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.827 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.827 * [taylor]: Taking taylor expansion of re in re
12.827 * [backup-simplify]: Simplify 0 into 0
12.827 * [backup-simplify]: Simplify 1 into 1
12.827 * [backup-simplify]: Simplify (/ 1 1) into 1
12.827 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.827 * [taylor]: Taking taylor expansion of re in re
12.827 * [backup-simplify]: Simplify 0 into 0
12.827 * [backup-simplify]: Simplify 1 into 1
12.827 * [backup-simplify]: Simplify (/ 1 1) into 1
12.827 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.827 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.827 * [taylor]: Taking taylor expansion of im in re
12.827 * [backup-simplify]: Simplify im into im
12.827 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.827 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.827 * [taylor]: Taking taylor expansion of im in re
12.827 * [backup-simplify]: Simplify im into im
12.827 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.828 * [backup-simplify]: Simplify (* 1 1) into 1
12.828 * [backup-simplify]: Simplify (+ 1 0) into 1
12.828 * [backup-simplify]: Simplify (sqrt 1) into 1
12.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.830 * [backup-simplify]: Simplify (+ 0 0) into 0
12.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.830 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.830 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.830 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.830 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.831 * [taylor]: Taking taylor expansion of re in re
12.831 * [backup-simplify]: Simplify 0 into 0
12.831 * [backup-simplify]: Simplify 1 into 1
12.834 * [backup-simplify]: Simplify (/ 1 1) into 1
12.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.835 * [taylor]: Taking taylor expansion of re in re
12.835 * [backup-simplify]: Simplify 0 into 0
12.835 * [backup-simplify]: Simplify 1 into 1
12.835 * [backup-simplify]: Simplify (/ 1 1) into 1
12.835 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.835 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.835 * [taylor]: Taking taylor expansion of im in re
12.835 * [backup-simplify]: Simplify im into im
12.835 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.835 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.835 * [taylor]: Taking taylor expansion of im in re
12.835 * [backup-simplify]: Simplify im into im
12.835 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.836 * [backup-simplify]: Simplify (* 1 1) into 1
12.836 * [backup-simplify]: Simplify (+ 1 0) into 1
12.836 * [backup-simplify]: Simplify (sqrt 1) into 1
12.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.838 * [backup-simplify]: Simplify (+ 0 0) into 0
12.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.839 * [taylor]: Taking taylor expansion of 1 in im
12.839 * [backup-simplify]: Simplify 1 into 1
12.839 * [taylor]: Taking taylor expansion of 0 in im
12.839 * [backup-simplify]: Simplify 0 into 0
12.839 * [backup-simplify]: Simplify 1 into 1
12.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.840 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.841 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.842 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.842 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.842 * [taylor]: Taking taylor expansion of 1/2 in im
12.842 * [backup-simplify]: Simplify 1/2 into 1/2
12.842 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.842 * [taylor]: Taking taylor expansion of im in im
12.842 * [backup-simplify]: Simplify 0 into 0
12.842 * [backup-simplify]: Simplify 1 into 1
12.842 * [backup-simplify]: Simplify (* 1 1) into 1
12.842 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.843 * [backup-simplify]: Simplify 0 into 0
12.843 * [backup-simplify]: Simplify 0 into 0
12.843 * [backup-simplify]: Simplify 0 into 0
12.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.845 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.845 * [backup-simplify]: Simplify (+ 0 0) into 0
12.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.846 * [taylor]: Taking taylor expansion of 0 in im
12.846 * [backup-simplify]: Simplify 0 into 0
12.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.847 * [backup-simplify]: Simplify 0 into 0
12.847 * [backup-simplify]: Simplify 0 into 0
12.847 * [backup-simplify]: Simplify 0 into 0
12.847 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
12.848 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (pow (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/4) 3)) into (hypot (/ -1 re) (/ -1 im))
12.848 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
12.848 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.848 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.848 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.848 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.848 * [taylor]: Taking taylor expansion of -1 in im
12.848 * [backup-simplify]: Simplify -1 into -1
12.848 * [taylor]: Taking taylor expansion of re in im
12.849 * [backup-simplify]: Simplify re into re
12.849 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.849 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.849 * [taylor]: Taking taylor expansion of -1 in im
12.849 * [backup-simplify]: Simplify -1 into -1
12.849 * [taylor]: Taking taylor expansion of re in im
12.849 * [backup-simplify]: Simplify re into re
12.849 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.849 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.849 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.849 * [taylor]: Taking taylor expansion of -1 in im
12.849 * [backup-simplify]: Simplify -1 into -1
12.849 * [taylor]: Taking taylor expansion of im in im
12.849 * [backup-simplify]: Simplify 0 into 0
12.849 * [backup-simplify]: Simplify 1 into 1
12.850 * [backup-simplify]: Simplify (/ -1 1) into -1
12.850 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.850 * [taylor]: Taking taylor expansion of -1 in im
12.850 * [backup-simplify]: Simplify -1 into -1
12.850 * [taylor]: Taking taylor expansion of im in im
12.850 * [backup-simplify]: Simplify 0 into 0
12.850 * [backup-simplify]: Simplify 1 into 1
12.850 * [backup-simplify]: Simplify (/ -1 1) into -1
12.851 * [backup-simplify]: Simplify (* -1 -1) into 1
12.851 * [backup-simplify]: Simplify (+ 0 1) into 1
12.851 * [backup-simplify]: Simplify (sqrt 1) into 1
12.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.854 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.855 * [backup-simplify]: Simplify (+ 0 0) into 0
12.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.856 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.856 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.856 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.856 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.856 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.856 * [taylor]: Taking taylor expansion of -1 in re
12.856 * [backup-simplify]: Simplify -1 into -1
12.857 * [taylor]: Taking taylor expansion of re in re
12.857 * [backup-simplify]: Simplify 0 into 0
12.857 * [backup-simplify]: Simplify 1 into 1
12.857 * [backup-simplify]: Simplify (/ -1 1) into -1
12.857 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.857 * [taylor]: Taking taylor expansion of -1 in re
12.857 * [backup-simplify]: Simplify -1 into -1
12.857 * [taylor]: Taking taylor expansion of re in re
12.857 * [backup-simplify]: Simplify 0 into 0
12.857 * [backup-simplify]: Simplify 1 into 1
12.858 * [backup-simplify]: Simplify (/ -1 1) into -1
12.858 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.858 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.858 * [taylor]: Taking taylor expansion of -1 in re
12.858 * [backup-simplify]: Simplify -1 into -1
12.858 * [taylor]: Taking taylor expansion of im in re
12.858 * [backup-simplify]: Simplify im into im
12.858 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.858 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.858 * [taylor]: Taking taylor expansion of -1 in re
12.858 * [backup-simplify]: Simplify -1 into -1
12.858 * [taylor]: Taking taylor expansion of im in re
12.858 * [backup-simplify]: Simplify im into im
12.858 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.859 * [backup-simplify]: Simplify (* -1 -1) into 1
12.859 * [backup-simplify]: Simplify (+ 1 0) into 1
12.860 * [backup-simplify]: Simplify (sqrt 1) into 1
12.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.862 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.863 * [backup-simplify]: Simplify (+ 0 0) into 0
12.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.864 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.864 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.864 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.864 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.864 * [taylor]: Taking taylor expansion of -1 in re
12.864 * [backup-simplify]: Simplify -1 into -1
12.864 * [taylor]: Taking taylor expansion of re in re
12.864 * [backup-simplify]: Simplify 0 into 0
12.864 * [backup-simplify]: Simplify 1 into 1
12.865 * [backup-simplify]: Simplify (/ -1 1) into -1
12.865 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.865 * [taylor]: Taking taylor expansion of -1 in re
12.865 * [backup-simplify]: Simplify -1 into -1
12.865 * [taylor]: Taking taylor expansion of re in re
12.865 * [backup-simplify]: Simplify 0 into 0
12.865 * [backup-simplify]: Simplify 1 into 1
12.865 * [backup-simplify]: Simplify (/ -1 1) into -1
12.865 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.865 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.865 * [taylor]: Taking taylor expansion of -1 in re
12.865 * [backup-simplify]: Simplify -1 into -1
12.865 * [taylor]: Taking taylor expansion of im in re
12.865 * [backup-simplify]: Simplify im into im
12.865 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.865 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.865 * [taylor]: Taking taylor expansion of -1 in re
12.866 * [backup-simplify]: Simplify -1 into -1
12.866 * [taylor]: Taking taylor expansion of im in re
12.866 * [backup-simplify]: Simplify im into im
12.866 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.866 * [backup-simplify]: Simplify (* -1 -1) into 1
12.866 * [backup-simplify]: Simplify (+ 1 0) into 1
12.867 * [backup-simplify]: Simplify (sqrt 1) into 1
12.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.870 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.870 * [backup-simplify]: Simplify (+ 0 0) into 0
12.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.871 * [taylor]: Taking taylor expansion of 1 in im
12.871 * [backup-simplify]: Simplify 1 into 1
12.871 * [taylor]: Taking taylor expansion of 0 in im
12.871 * [backup-simplify]: Simplify 0 into 0
12.871 * [backup-simplify]: Simplify 1 into 1
12.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.874 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.874 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.875 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.876 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.876 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.876 * [taylor]: Taking taylor expansion of 1/2 in im
12.876 * [backup-simplify]: Simplify 1/2 into 1/2
12.876 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.876 * [taylor]: Taking taylor expansion of im in im
12.876 * [backup-simplify]: Simplify 0 into 0
12.876 * [backup-simplify]: Simplify 1 into 1
12.877 * [backup-simplify]: Simplify (* 1 1) into 1
12.877 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.879 * [backup-simplify]: Simplify 0 into 0
12.879 * [backup-simplify]: Simplify 0 into 0
12.879 * [backup-simplify]: Simplify 0 into 0
12.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.882 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.882 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.883 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.883 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.883 * [backup-simplify]: Simplify (+ 0 0) into 0
12.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.884 * [taylor]: Taking taylor expansion of 0 in im
12.884 * [backup-simplify]: Simplify 0 into 0
12.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.886 * [backup-simplify]: Simplify 0 into 0
12.886 * [backup-simplify]: Simplify 0 into 0
12.886 * [backup-simplify]: Simplify 0 into 0
12.886 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
12.886 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1)
12.886 * [backup-simplify]: Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4)
12.887 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/4) in (re im) around 0
12.887 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im
12.887 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im
12.887 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im
12.887 * [taylor]: Taking taylor expansion of 1/4 in im
12.887 * [backup-simplify]: Simplify 1/4 into 1/4
12.887 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
12.887 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.887 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.887 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.887 * [taylor]: Taking taylor expansion of (* re re) in im
12.887 * [taylor]: Taking taylor expansion of re in im
12.887 * [backup-simplify]: Simplify re into re
12.887 * [taylor]: Taking taylor expansion of re in im
12.887 * [backup-simplify]: Simplify re into re
12.887 * [taylor]: Taking taylor expansion of (* im im) in im
12.887 * [taylor]: Taking taylor expansion of im in im
12.887 * [backup-simplify]: Simplify 0 into 0
12.887 * [backup-simplify]: Simplify 1 into 1
12.887 * [taylor]: Taking taylor expansion of im in im
12.887 * [backup-simplify]: Simplify 0 into 0
12.887 * [backup-simplify]: Simplify 1 into 1
12.887 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.888 * [backup-simplify]: Simplify (* 0 0) into 0
12.888 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.888 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.888 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.889 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.889 * [backup-simplify]: Simplify (+ 0 0) into 0
12.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.890 * [backup-simplify]: Simplify (log re) into (log re)
12.890 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re))
12.890 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4)
12.890 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
12.890 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
12.890 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
12.890 * [taylor]: Taking taylor expansion of 1/4 in re
12.890 * [backup-simplify]: Simplify 1/4 into 1/4
12.890 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
12.890 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.890 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.890 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.890 * [taylor]: Taking taylor expansion of (* re re) in re
12.890 * [taylor]: Taking taylor expansion of re in re
12.890 * [backup-simplify]: Simplify 0 into 0
12.890 * [backup-simplify]: Simplify 1 into 1
12.890 * [taylor]: Taking taylor expansion of re in re
12.890 * [backup-simplify]: Simplify 0 into 0
12.890 * [backup-simplify]: Simplify 1 into 1
12.890 * [taylor]: Taking taylor expansion of (* im im) in re
12.890 * [taylor]: Taking taylor expansion of im in re
12.890 * [backup-simplify]: Simplify im into im
12.890 * [taylor]: Taking taylor expansion of im in re
12.890 * [backup-simplify]: Simplify im into im
12.891 * [backup-simplify]: Simplify (* 0 0) into 0
12.891 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.891 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.891 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.892 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.892 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.892 * [backup-simplify]: Simplify (+ 0 0) into 0
12.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.893 * [backup-simplify]: Simplify (log im) into (log im)
12.893 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
12.893 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
12.893 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
12.893 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
12.893 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
12.893 * [taylor]: Taking taylor expansion of 1/4 in re
12.893 * [backup-simplify]: Simplify 1/4 into 1/4
12.893 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
12.893 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.893 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.893 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.893 * [taylor]: Taking taylor expansion of (* re re) in re
12.893 * [taylor]: Taking taylor expansion of re in re
12.893 * [backup-simplify]: Simplify 0 into 0
12.893 * [backup-simplify]: Simplify 1 into 1
12.893 * [taylor]: Taking taylor expansion of re in re
12.893 * [backup-simplify]: Simplify 0 into 0
12.893 * [backup-simplify]: Simplify 1 into 1
12.894 * [taylor]: Taking taylor expansion of (* im im) in re
12.894 * [taylor]: Taking taylor expansion of im in re
12.894 * [backup-simplify]: Simplify im into im
12.894 * [taylor]: Taking taylor expansion of im in re
12.894 * [backup-simplify]: Simplify im into im
12.894 * [backup-simplify]: Simplify (* 0 0) into 0
12.894 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.894 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.894 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.895 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.895 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.896 * [backup-simplify]: Simplify (+ 0 0) into 0
12.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.896 * [backup-simplify]: Simplify (log im) into (log im)
12.896 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
12.896 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
12.896 * [taylor]: Taking taylor expansion of (pow im 1/4) in im
12.896 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im
12.896 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im
12.896 * [taylor]: Taking taylor expansion of 1/4 in im
12.896 * [backup-simplify]: Simplify 1/4 into 1/4
12.896 * [taylor]: Taking taylor expansion of (log im) in im
12.896 * [taylor]: Taking taylor expansion of im in im
12.896 * [backup-simplify]: Simplify 0 into 0
12.896 * [backup-simplify]: Simplify 1 into 1
12.897 * [backup-simplify]: Simplify (log 1) into 0
12.897 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
12.897 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
12.897 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
12.898 * [backup-simplify]: Simplify (pow im 1/4) into (pow im 1/4)
12.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
12.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0
12.900 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
12.900 * [taylor]: Taking taylor expansion of 0 in im
12.900 * [backup-simplify]: Simplify 0 into 0
12.900 * [backup-simplify]: Simplify 0 into 0
12.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.902 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
12.903 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0
12.904 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
12.904 * [backup-simplify]: Simplify 0 into 0
12.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.905 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.905 * [backup-simplify]: Simplify (+ 1 0) into 1
12.906 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.908 * [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))
12.908 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2)))
12.910 * [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))
12.910 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) in im
12.910 * [taylor]: Taking taylor expansion of 1/8 in im
12.910 * [backup-simplify]: Simplify 1/8 into 1/8
12.910 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im
12.910 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im
12.910 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im
12.910 * [taylor]: Taking taylor expansion of 1/4 in im
12.910 * [backup-simplify]: Simplify 1/4 into 1/4
12.910 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im
12.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im
12.910 * [taylor]: Taking taylor expansion of (pow im 7) in im
12.910 * [taylor]: Taking taylor expansion of im in im
12.910 * [backup-simplify]: Simplify 0 into 0
12.910 * [backup-simplify]: Simplify 1 into 1
12.910 * [backup-simplify]: Simplify (* 1 1) into 1
12.911 * [backup-simplify]: Simplify (* 1 1) into 1
12.911 * [backup-simplify]: Simplify (* 1 1) into 1
12.911 * [backup-simplify]: Simplify (* 1 1) into 1
12.912 * [backup-simplify]: Simplify (/ 1 1) into 1
12.912 * [backup-simplify]: Simplify (log 1) into 0
12.913 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im)))
12.913 * [backup-simplify]: Simplify (* 1/4 (- (* 7 (log im)))) into (* -7/4 (log im))
12.913 * [backup-simplify]: Simplify (exp (* -7/4 (log im))) into (pow im -7/4)
12.913 * [backup-simplify]: Simplify (* 1/8 (pow im -7/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
12.913 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
12.914 * [backup-simplify]: Simplify 0 into 0
12.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
12.916 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
12.917 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log im)))) into 0
12.918 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.918 * [backup-simplify]: Simplify 0 into 0
12.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.919 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.919 * [backup-simplify]: Simplify (+ 0 0) into 0
12.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.921 * [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
12.922 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
12.923 * [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
12.923 * [taylor]: Taking taylor expansion of 0 in im
12.923 * [backup-simplify]: Simplify 0 into 0
12.923 * [backup-simplify]: Simplify 0 into 0
12.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.926 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im)))
12.927 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 7 (log im))))) into 0
12.927 * [backup-simplify]: Simplify (* (exp (* -7/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
12.928 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (pow im -7/4))) into 0
12.928 * [backup-simplify]: Simplify 0 into 0
12.928 * [backup-simplify]: Simplify 0 into 0
12.931 * [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
12.931 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
12.932 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
12.933 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.933 * [backup-simplify]: Simplify 0 into 0
12.934 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (* 1 re) 2)) (pow im 1/4)) into (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4))
12.934 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4)
12.934 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in (re im) around 0
12.934 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im
12.934 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im
12.934 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im
12.934 * [taylor]: Taking taylor expansion of 1/4 in im
12.934 * [backup-simplify]: Simplify 1/4 into 1/4
12.934 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
12.934 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.934 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.934 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.934 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.934 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.934 * [taylor]: Taking taylor expansion of re in im
12.934 * [backup-simplify]: Simplify re into re
12.934 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.934 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.934 * [taylor]: Taking taylor expansion of re in im
12.934 * [backup-simplify]: Simplify re into re
12.934 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.934 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.934 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.934 * [taylor]: Taking taylor expansion of im in im
12.934 * [backup-simplify]: Simplify 0 into 0
12.934 * [backup-simplify]: Simplify 1 into 1
12.935 * [backup-simplify]: Simplify (/ 1 1) into 1
12.935 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.935 * [taylor]: Taking taylor expansion of im in im
12.935 * [backup-simplify]: Simplify 0 into 0
12.935 * [backup-simplify]: Simplify 1 into 1
12.935 * [backup-simplify]: Simplify (/ 1 1) into 1
12.935 * [backup-simplify]: Simplify (* 1 1) into 1
12.935 * [backup-simplify]: Simplify (+ 0 1) into 1
12.936 * [backup-simplify]: Simplify (sqrt 1) into 1
12.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.937 * [backup-simplify]: Simplify (+ 0 0) into 0
12.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.938 * [backup-simplify]: Simplify (log 1) into 0
12.938 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
12.938 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
12.938 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
12.938 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
12.938 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
12.938 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
12.938 * [taylor]: Taking taylor expansion of 1/4 in re
12.938 * [backup-simplify]: Simplify 1/4 into 1/4
12.938 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
12.938 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.939 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.939 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.939 * [taylor]: Taking taylor expansion of re in re
12.939 * [backup-simplify]: Simplify 0 into 0
12.939 * [backup-simplify]: Simplify 1 into 1
12.939 * [backup-simplify]: Simplify (/ 1 1) into 1
12.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.939 * [taylor]: Taking taylor expansion of re in re
12.939 * [backup-simplify]: Simplify 0 into 0
12.939 * [backup-simplify]: Simplify 1 into 1
12.939 * [backup-simplify]: Simplify (/ 1 1) into 1
12.939 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.939 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.939 * [taylor]: Taking taylor expansion of im in re
12.939 * [backup-simplify]: Simplify im into im
12.939 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.939 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.939 * [taylor]: Taking taylor expansion of im in re
12.939 * [backup-simplify]: Simplify im into im
12.939 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.940 * [backup-simplify]: Simplify (* 1 1) into 1
12.940 * [backup-simplify]: Simplify (+ 1 0) into 1
12.940 * [backup-simplify]: Simplify (sqrt 1) into 1
12.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.942 * [backup-simplify]: Simplify (+ 0 0) into 0
12.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.942 * [backup-simplify]: Simplify (log 1) into 0
12.943 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.943 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
12.943 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
12.943 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
12.943 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
12.943 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
12.943 * [taylor]: Taking taylor expansion of 1/4 in re
12.943 * [backup-simplify]: Simplify 1/4 into 1/4
12.943 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
12.943 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.943 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.943 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.943 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.943 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.943 * [taylor]: Taking taylor expansion of re in re
12.943 * [backup-simplify]: Simplify 0 into 0
12.943 * [backup-simplify]: Simplify 1 into 1
12.943 * [backup-simplify]: Simplify (/ 1 1) into 1
12.943 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.943 * [taylor]: Taking taylor expansion of re in re
12.944 * [backup-simplify]: Simplify 0 into 0
12.944 * [backup-simplify]: Simplify 1 into 1
12.944 * [backup-simplify]: Simplify (/ 1 1) into 1
12.944 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.944 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.944 * [taylor]: Taking taylor expansion of im in re
12.944 * [backup-simplify]: Simplify im into im
12.944 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.944 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.944 * [taylor]: Taking taylor expansion of im in re
12.944 * [backup-simplify]: Simplify im into im
12.944 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.944 * [backup-simplify]: Simplify (* 1 1) into 1
12.944 * [backup-simplify]: Simplify (+ 1 0) into 1
12.945 * [backup-simplify]: Simplify (sqrt 1) into 1
12.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.946 * [backup-simplify]: Simplify (+ 0 0) into 0
12.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.947 * [backup-simplify]: Simplify (log 1) into 0
12.947 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.947 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
12.947 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
12.948 * [taylor]: Taking taylor expansion of (pow re -1/4) in im
12.948 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im
12.948 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im
12.948 * [taylor]: Taking taylor expansion of -1/4 in im
12.948 * [backup-simplify]: Simplify -1/4 into -1/4
12.948 * [taylor]: Taking taylor expansion of (log re) in im
12.948 * [taylor]: Taking taylor expansion of re in im
12.948 * [backup-simplify]: Simplify re into re
12.948 * [backup-simplify]: Simplify (log re) into (log re)
12.948 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re))
12.948 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
12.948 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4)
12.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.949 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
12.950 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.950 * [taylor]: Taking taylor expansion of 0 in im
12.950 * [backup-simplify]: Simplify 0 into 0
12.950 * [backup-simplify]: Simplify 0 into 0
12.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
12.951 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0
12.951 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.951 * [backup-simplify]: Simplify 0 into 0
12.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.953 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.953 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.954 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.955 * [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))
12.956 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.956 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
12.957 * [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))))
12.957 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im
12.957 * [taylor]: Taking taylor expansion of 1/8 in im
12.957 * [backup-simplify]: Simplify 1/8 into 1/8
12.957 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im
12.957 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im
12.957 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im
12.957 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im
12.957 * [taylor]: Taking taylor expansion of 1/4 in im
12.957 * [backup-simplify]: Simplify 1/4 into 1/4
12.957 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
12.957 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.957 * [taylor]: Taking taylor expansion of re in im
12.957 * [backup-simplify]: Simplify re into re
12.957 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.957 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
12.957 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re)))
12.957 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4)
12.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.957 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.957 * [taylor]: Taking taylor expansion of im in im
12.957 * [backup-simplify]: Simplify 0 into 0
12.957 * [backup-simplify]: Simplify 1 into 1
12.958 * [backup-simplify]: Simplify (* 1 1) into 1
12.958 * [backup-simplify]: Simplify (/ 1 1) into 1
12.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
12.964 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
12.964 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0
12.965 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
12.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
12.967 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
12.968 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.968 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
12.969 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0
12.969 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4)
12.969 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0
12.969 * [backup-simplify]: Simplify 0 into 0
12.970 * [backup-simplify]: Simplify 0 into 0
12.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
12.971 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0
12.972 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.972 * [backup-simplify]: Simplify 0 into 0
12.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.974 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.974 * [backup-simplify]: Simplify (+ 0 0) into 0
12.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.978 * [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
12.979 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.980 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
12.983 * [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
12.983 * [taylor]: Taking taylor expansion of 0 in im
12.983 * [backup-simplify]: Simplify 0 into 0
12.983 * [backup-simplify]: Simplify 0 into 0
12.983 * [backup-simplify]: Simplify (pow (/ 1 re) -1/4) into (pow (/ 1 re) -1/4)
12.983 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4)
12.983 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in (re im) around 0
12.983 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im
12.983 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im
12.983 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im
12.984 * [taylor]: Taking taylor expansion of 1/4 in im
12.984 * [backup-simplify]: Simplify 1/4 into 1/4
12.984 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
12.984 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.984 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.984 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.984 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.984 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.984 * [taylor]: Taking taylor expansion of -1 in im
12.984 * [backup-simplify]: Simplify -1 into -1
12.984 * [taylor]: Taking taylor expansion of re in im
12.984 * [backup-simplify]: Simplify re into re
12.984 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.984 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.984 * [taylor]: Taking taylor expansion of -1 in im
12.984 * [backup-simplify]: Simplify -1 into -1
12.984 * [taylor]: Taking taylor expansion of re in im
12.984 * [backup-simplify]: Simplify re into re
12.984 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.984 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.984 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.984 * [taylor]: Taking taylor expansion of -1 in im
12.984 * [backup-simplify]: Simplify -1 into -1
12.984 * [taylor]: Taking taylor expansion of im in im
12.984 * [backup-simplify]: Simplify 0 into 0
12.984 * [backup-simplify]: Simplify 1 into 1
12.985 * [backup-simplify]: Simplify (/ -1 1) into -1
12.985 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.985 * [taylor]: Taking taylor expansion of -1 in im
12.985 * [backup-simplify]: Simplify -1 into -1
12.985 * [taylor]: Taking taylor expansion of im in im
12.985 * [backup-simplify]: Simplify 0 into 0
12.985 * [backup-simplify]: Simplify 1 into 1
12.986 * [backup-simplify]: Simplify (/ -1 1) into -1
12.986 * [backup-simplify]: Simplify (* -1 -1) into 1
12.986 * [backup-simplify]: Simplify (+ 0 1) into 1
12.987 * [backup-simplify]: Simplify (sqrt 1) into 1
12.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.989 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.990 * [backup-simplify]: Simplify (+ 0 0) into 0
12.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.991 * [backup-simplify]: Simplify (log 1) into 0
12.991 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
12.991 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
12.992 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
12.992 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
12.992 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
12.992 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
12.992 * [taylor]: Taking taylor expansion of 1/4 in re
12.992 * [backup-simplify]: Simplify 1/4 into 1/4
12.992 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
12.992 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.992 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.992 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.992 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.992 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.992 * [taylor]: Taking taylor expansion of -1 in re
12.992 * [backup-simplify]: Simplify -1 into -1
12.992 * [taylor]: Taking taylor expansion of re in re
12.992 * [backup-simplify]: Simplify 0 into 0
12.992 * [backup-simplify]: Simplify 1 into 1
12.993 * [backup-simplify]: Simplify (/ -1 1) into -1
12.993 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.993 * [taylor]: Taking taylor expansion of -1 in re
12.993 * [backup-simplify]: Simplify -1 into -1
12.993 * [taylor]: Taking taylor expansion of re in re
12.993 * [backup-simplify]: Simplify 0 into 0
12.993 * [backup-simplify]: Simplify 1 into 1
12.994 * [backup-simplify]: Simplify (/ -1 1) into -1
12.994 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.994 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.994 * [taylor]: Taking taylor expansion of -1 in re
12.994 * [backup-simplify]: Simplify -1 into -1
12.994 * [taylor]: Taking taylor expansion of im in re
12.994 * [backup-simplify]: Simplify im into im
12.994 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.994 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.994 * [taylor]: Taking taylor expansion of -1 in re
12.994 * [backup-simplify]: Simplify -1 into -1
12.994 * [taylor]: Taking taylor expansion of im in re
12.994 * [backup-simplify]: Simplify im into im
12.994 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.995 * [backup-simplify]: Simplify (* -1 -1) into 1
12.995 * [backup-simplify]: Simplify (+ 1 0) into 1
12.995 * [backup-simplify]: Simplify (sqrt 1) into 1
12.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.998 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.999 * [backup-simplify]: Simplify (+ 0 0) into 0
12.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.000 * [backup-simplify]: Simplify (log 1) into 0
13.000 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
13.000 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
13.000 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
13.000 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
13.000 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
13.000 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
13.000 * [taylor]: Taking taylor expansion of 1/4 in re
13.000 * [backup-simplify]: Simplify 1/4 into 1/4
13.000 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
13.000 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
13.000 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.000 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
13.001 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
13.001 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.001 * [taylor]: Taking taylor expansion of -1 in re
13.001 * [backup-simplify]: Simplify -1 into -1
13.001 * [taylor]: Taking taylor expansion of re in re
13.001 * [backup-simplify]: Simplify 0 into 0
13.001 * [backup-simplify]: Simplify 1 into 1
13.001 * [backup-simplify]: Simplify (/ -1 1) into -1
13.001 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.001 * [taylor]: Taking taylor expansion of -1 in re
13.001 * [backup-simplify]: Simplify -1 into -1
13.001 * [taylor]: Taking taylor expansion of re in re
13.001 * [backup-simplify]: Simplify 0 into 0
13.001 * [backup-simplify]: Simplify 1 into 1
13.001 * [backup-simplify]: Simplify (/ -1 1) into -1
13.001 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
13.001 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.001 * [taylor]: Taking taylor expansion of -1 in re
13.001 * [backup-simplify]: Simplify -1 into -1
13.001 * [taylor]: Taking taylor expansion of im in re
13.001 * [backup-simplify]: Simplify im into im
13.002 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.002 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.002 * [taylor]: Taking taylor expansion of -1 in re
13.002 * [backup-simplify]: Simplify -1 into -1
13.002 * [taylor]: Taking taylor expansion of im in re
13.002 * [backup-simplify]: Simplify im into im
13.002 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.002 * [backup-simplify]: Simplify (* -1 -1) into 1
13.002 * [backup-simplify]: Simplify (+ 1 0) into 1
13.002 * [backup-simplify]: Simplify (sqrt 1) into 1
13.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.004 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.004 * [backup-simplify]: Simplify (+ 0 0) into 0
13.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.005 * [backup-simplify]: Simplify (log 1) into 0
13.005 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
13.005 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
13.005 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
13.006 * [taylor]: Taking taylor expansion of (pow re -1/4) in im
13.006 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im
13.006 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im
13.006 * [taylor]: Taking taylor expansion of -1/4 in im
13.006 * [backup-simplify]: Simplify -1/4 into -1/4
13.006 * [taylor]: Taking taylor expansion of (log re) in im
13.006 * [taylor]: Taking taylor expansion of re in im
13.006 * [backup-simplify]: Simplify re into re
13.006 * [backup-simplify]: Simplify (log re) into (log re)
13.006 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re))
13.006 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
13.006 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4)
13.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.007 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
13.007 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
13.008 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
13.008 * [taylor]: Taking taylor expansion of 0 in im
13.008 * [backup-simplify]: Simplify 0 into 0
13.008 * [backup-simplify]: Simplify 0 into 0
13.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
13.009 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0
13.010 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
13.010 * [backup-simplify]: Simplify 0 into 0
13.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.011 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
13.011 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
13.012 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.012 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.014 * [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))
13.014 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
13.015 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
13.015 * [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))))
13.015 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im
13.015 * [taylor]: Taking taylor expansion of 1/8 in im
13.015 * [backup-simplify]: Simplify 1/8 into 1/8
13.015 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im
13.015 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im
13.015 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im
13.016 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im
13.016 * [taylor]: Taking taylor expansion of 1/4 in im
13.016 * [backup-simplify]: Simplify 1/4 into 1/4
13.016 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
13.016 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.016 * [taylor]: Taking taylor expansion of re in im
13.016 * [backup-simplify]: Simplify re into re
13.016 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.016 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
13.016 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re)))
13.016 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4)
13.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.016 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.016 * [taylor]: Taking taylor expansion of im in im
13.016 * [backup-simplify]: Simplify 0 into 0
13.016 * [backup-simplify]: Simplify 1 into 1
13.016 * [backup-simplify]: Simplify (* 1 1) into 1
13.016 * [backup-simplify]: Simplify (/ 1 1) into 1
13.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
13.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
13.020 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0
13.020 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
13.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
13.023 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
13.024 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.024 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
13.025 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0
13.025 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4)
13.025 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0
13.025 * [backup-simplify]: Simplify 0 into 0
13.026 * [backup-simplify]: Simplify 0 into 0
13.027 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
13.027 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0
13.028 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.028 * [backup-simplify]: Simplify 0 into 0
13.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.030 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
13.030 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.030 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.030 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
13.031 * [backup-simplify]: Simplify (+ 0 0) into 0
13.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.033 * [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
13.034 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
13.034 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
13.036 * [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
13.036 * [taylor]: Taking taylor expansion of 0 in im
13.036 * [backup-simplify]: Simplify 0 into 0
13.036 * [backup-simplify]: Simplify 0 into 0
13.036 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/4) into (pow (/ -1 re) -1/4)
13.036 * * * [progress]: simplifying candidates
13.038 * [simplify]: Simplifying:
  (expm1 (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (log1p (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (* (exp re) (exp (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (log (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (exp (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (* (cbrt (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))) (cbrt (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))))
  (cbrt (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (* (* (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))) (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (sqrt (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (sqrt (+ re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (+ (pow re 3) (pow (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)) 3))
  (+ (* re re) (- (* (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)) (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) (* re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))))
  (- (* re re) (* (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)) (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (- re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (expm1 (pow (pow (hypot re im) 1/4) 3))
  (log1p (pow (pow (hypot re im) 1/4) 3))
  (* (* (log (hypot re im)) 1/4) 3)
  (* (* (log (hypot re im)) 1/4) 3)
  (* (log (pow (hypot re im) 1/4)) 3)
  (* (log (pow (hypot re im) 1/4)) 3)
  (* 1/4 3)
  (pow (pow (hypot re im) 1/4) (* (cbrt 3) (cbrt 3)))
  (pow (pow (hypot re im) 1/4) (sqrt 3))
  (pow (pow (hypot re im) 1/4) 1)
  (pow (pow (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1/4) 3)
  (pow (pow (cbrt (hypot re im)) 1/4) 3)
  (pow (pow (sqrt (hypot re im)) 1/4) 3)
  (pow (pow (sqrt (hypot re im)) 1/4) 3)
  (pow (pow 1 1/4) 3)
  (pow (pow (hypot re im) 1/4) 3)
  (pow (* (cbrt (pow (hypot re im) 1/4)) (cbrt (pow (hypot re im) 1/4))) 3)
  (pow (cbrt (pow (hypot re im) 1/4)) 3)
  (pow (sqrt (pow (hypot re im) 1/4)) 3)
  (pow (sqrt (pow (hypot re im) 1/4)) 3)
  (pow 1 3)
  (pow (pow (hypot re im) 1/4) 3)
  (pow (pow (hypot re im) (/ 1/4 2)) 3)
  (pow (pow (hypot re im) (/ 1/4 2)) 3)
  (* (pow (hypot re im) 1/4) (pow (hypot re im) 1/4))
  (log (pow (pow (hypot re im) 1/4) 3))
  (exp (pow (pow (hypot re im) 1/4) 3))
  (* (cbrt (pow (pow (hypot re im) 1/4) 3)) (cbrt (pow (pow (hypot re im) 1/4) 3)))
  (cbrt (pow (pow (hypot re im) 1/4) 3))
  (* (* (pow (pow (hypot re im) 1/4) 3) (pow (pow (hypot re im) 1/4) 3)) (pow (pow (hypot re im) 1/4) 3))
  (pow (pow (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1/4) 3)
  (pow (pow (cbrt (hypot re im)) 1/4) 3)
  (pow (pow (sqrt (hypot re im)) 1/4) 3)
  (pow (pow (sqrt (hypot re im)) 1/4) 3)
  (pow (pow 1 1/4) 3)
  (pow (pow (hypot re im) 1/4) 3)
  (pow (* (cbrt (pow (hypot re im) 1/4)) (cbrt (pow (hypot re im) 1/4))) 3)
  (pow (cbrt (pow (hypot re im) 1/4)) 3)
  (pow (sqrt (pow (hypot re im) 1/4)) 3)
  (pow (sqrt (pow (hypot re im) 1/4)) 3)
  (pow 1 3)
  (pow (pow (hypot re im) 1/4) 3)
  (pow (pow (hypot re im) (/ 1/4 2)) 3)
  (pow (pow (hypot re im) (/ 1/4 2)) 3)
  (* (pow (hypot re im) 1/4) (pow (hypot re im) 1/4))
  (sqrt (pow (pow (hypot re im) 1/4) 3))
  (sqrt (pow (pow (hypot re im) 1/4) 3))
  (pow (pow (hypot re im) 1/4) (/ 3 2))
  (pow (pow (hypot re im) 1/4) (/ 3 2))
  (expm1 (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (log1p (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (+ (log (sqrt (sqrt (hypot re im)))) (* (* (log (hypot re im)) 1/4) 3))
  (+ (log (sqrt (sqrt (hypot re im)))) (* (* (log (hypot re im)) 1/4) 3))
  (+ (log (sqrt (sqrt (hypot re im)))) (* (log (pow (hypot re im) 1/4)) 3))
  (+ (log (sqrt (sqrt (hypot re im)))) (* (log (pow (hypot re im) 1/4)) 3))
  (+ (log (sqrt (sqrt (hypot re im)))) (log (pow (pow (hypot re im) 1/4) 3)))
  (log (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (exp (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (pow (pow (hypot re im) 1/4) 3) (pow (pow (hypot re im) 1/4) 3)) (pow (pow (hypot re im) 1/4) 3)))
  (* (cbrt (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) (cbrt (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (cbrt (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (* (* (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)) (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (sqrt (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (sqrt (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) (/ 3 2)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) (/ 3 2)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) (/ 3 2)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) (/ 3 2)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) (/ 3 2)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) (/ 3 2)))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow 1 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (* (cbrt (pow (hypot re im) 1/4)) (cbrt (pow (hypot re im) 1/4))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (hypot re im))) (pow 1 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (hypot re im))) (* (pow (hypot re im) 1/4) (pow (hypot re im) 1/4)))
  (* (sqrt (sqrt (hypot re im))) (* (cbrt (pow (pow (hypot re im) 1/4) 3)) (cbrt (pow (pow (hypot re im) 1/4) 3))))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow 1 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (* (cbrt (pow (hypot re im) 1/4)) (cbrt (pow (hypot re im) 1/4))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (hypot re im))) (pow 1 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) (/ 1/4 2)) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (hypot re im) 1/4))
  (* (sqrt (sqrt (hypot re im))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (hypot re im))) 1)
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) (/ 3 2)))
  (* (cbrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (cbrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (cbrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))
  (expm1 (sqrt (sqrt (hypot re im))))
  (log1p (sqrt (sqrt (hypot re im))))
  (log (sqrt (sqrt (hypot re im))))
  (exp (sqrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))
  (cbrt (sqrt (sqrt (hypot re im))))
  (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))
  (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (sqrt (cbrt (sqrt (hypot re im))))
  (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (sqrt (sqrt (cbrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt 1)
  (sqrt (sqrt (hypot re im)))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (+ 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)
  (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4))
  (pow (/ 1 re) -1/4)
  (pow (/ -1 re) -1/4)
13.044 * * [simplify]: Extracting # 0 : cost  0
13.044 * * [simplify]: Extracting # 1 : cost  0
13.045 * * [simplify]: Extracting # 2 : cost  0
13.045 * * [simplify]: Extracting # 3 : cost  0
13.046 * * [simplify]: Extracting # 4 : cost  0
13.046 * * [simplify]: Extracting # 5 : cost  0
13.046 * * [simplify]: Extracting # 6 : cost  0
13.047 * * [simplify]: Extracting # 7 : cost  0
13.047 * * [simplify]: Extracting # 8 : cost  0
13.048 * * [simplify]: Extracting # 9 : cost  0
13.048 * * [simplify]: Extracting # 10 : cost  0
13.049 * * [simplify]: iteration  0 :  168  enodes  (cost  2413 )
13.118 * * [simplify]: Extracting # 0 : cost  0
13.119 * * [simplify]: Extracting # 1 : cost  0
13.120 * * [simplify]: Extracting # 2 : cost  0
13.120 * * [simplify]: Extracting # 3 : cost  0
13.121 * * [simplify]: Extracting # 4 : cost  0
13.122 * * [simplify]: iteration  1 :  380  enodes  (cost  2096 )
13.363 * * [simplify]: Extracting # 0 : cost  0
13.364 * * [simplify]: Extracting # 1 : cost  0
13.366 * * [simplify]: Extracting # 2 : cost  0
13.367 * * [simplify]: Extracting # 3 : cost  0
13.368 * * [simplify]: Extracting # 4 : cost  0
13.370 * * [simplify]: iteration  2 :  1258  enodes  (cost  2007 )
14.433 * * [simplify]: Extracting # 0 : cost  0
14.441 * * [simplify]: Extracting # 1 : cost  0
14.449 * * [simplify]: Extracting # 2 : cost  0
14.460 * * [simplify]: Extracting # 3 : cost  0
14.477 * * [simplify]: Extracting # 4 : cost  0
14.487 * * [simplify]: iteration done:  5000  enodes  (cost  1996 )
14.488 * [simplify]: Simplified to:
  (expm1 (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))
  (log1p (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))
  (exp (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))
  (log (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))
  (exp (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))
  (* (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re)) (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re)))
  (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))
  (pow (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re) 3)
  (sqrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))
  (sqrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))
  (+ (pow re 3) (pow (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)) 3))
  (+ (* (hypot re im) (hypot re im)) (* re (- re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (expm1 (pow (pow (hypot re im) 1/4) 3))
  (log1p (pow (pow (hypot re im) 1/4) 3))
  (* (log (hypot re im)) 3/4)
  (* (log (hypot re im)) 3/4)
  (* (log (hypot re im)) 3/4)
  (* (log (hypot re im)) 3/4)
  3/4
  (pow (pow (hypot re im) 1/4) (* (cbrt 3) (cbrt 3)))
  (pow (pow (hypot re im) 1/4) (sqrt 3))
  (pow (hypot re im) 1/4)
  (pow (pow (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1/8) 6)
  (pow (pow (cbrt (hypot re im)) 1/4) 3)
  (pow (pow (sqrt (hypot re im)) 1/8) 6)
  (pow (pow (sqrt (hypot re im)) 1/8) 6)
  1
  (pow (pow (hypot re im) 1/8) 6)
  (sqrt (hypot re im))
  (pow (hypot re im) 1/4)
  (pow (sqrt (pow (hypot re im) 1/4)) 3)
  (pow (sqrt (pow (hypot re im) 1/4)) 3)
  1
  (pow (pow (hypot re im) 1/8) 6)
  (pow (pow (hypot re im) 1/16) 6)
  (pow (pow (hypot re im) 1/16) 6)
  (sqrt (hypot re im))
  (* (log (hypot re im)) 3/4)
  (exp (pow (pow (hypot re im) 1/4) 3))
  (sqrt (hypot re im))
  (pow (hypot re im) 1/4)
  (pow (pow (pow (hypot re im) 1/4) 3/2) 6)
  (pow (pow (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1/8) 6)
  (pow (pow (cbrt (hypot re im)) 1/4) 3)
  (pow (pow (sqrt (hypot re im)) 1/8) 6)
  (pow (pow (sqrt (hypot re im)) 1/8) 6)
  1
  (pow (pow (hypot re im) 1/8) 6)
  (sqrt (hypot re im))
  (pow (hypot re im) 1/4)
  (pow (sqrt (pow (hypot re im) 1/4)) 3)
  (pow (sqrt (pow (hypot re im) 1/4)) 3)
  1
  (pow (pow (hypot re im) 1/8) 6)
  (pow (pow (hypot re im) 1/16) 6)
  (pow (pow (hypot re im) 1/16) 6)
  (sqrt (hypot re im))
  (fabs (pow (pow (hypot re im) 1/16) 6))
  (fabs (pow (pow (hypot re im) 1/16) 6))
  (pow (pow (hypot re im) 1/4) 3/2)
  (pow (pow (hypot re im) 1/4) 3/2)
  (expm1 (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (log1p (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (fma (log (hypot re im)) 3/4 (log (sqrt (sqrt (hypot re im)))))
  (fma (log (hypot re im)) 3/4 (log (sqrt (sqrt (hypot re im)))))
  (fma (log (hypot re im)) 3/4 (log (sqrt (sqrt (hypot re im)))))
  (fma (log (hypot re im)) 3/4 (log (sqrt (sqrt (hypot re im)))))
  (fma (log (hypot re im)) 3/4 (log (sqrt (sqrt (hypot re im)))))
  (fma (log (hypot re im)) 3/4 (log (sqrt (sqrt (hypot re im)))))
  (exp (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (pow (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)) 3)
  (* (cbrt (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) (cbrt (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))))
  (cbrt (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (pow (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)) 3)
  (sqrt (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (sqrt (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3/2))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3/2))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3/2))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3/2))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3/2))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3/2))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (sqrt (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (sqrt (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/8) 3))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (sqrt (sqrt (hypot re im))) (pow (pow (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (sqrt (hypot re im)) 1/4) 3))
  (sqrt (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (pow (hypot re im) 1/4)) 3))
  (sqrt (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/8) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (hypot re im) 1/4))
  (* (sqrt (sqrt (hypot re im))) (sqrt (pow (pow (hypot re im) 1/4) 3)))
  (sqrt (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3/2))
  (* (cbrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (cbrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (cbrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (pow (hypot re im) 1/4) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))
  (expm1 (sqrt (sqrt (hypot re im))))
  (log1p (sqrt (sqrt (hypot re im))))
  (log (sqrt (sqrt (hypot re im))))
  (exp (sqrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))
  (cbrt (sqrt (sqrt (hypot re im))))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (fabs (cbrt (sqrt (hypot re im))))
  (sqrt (cbrt (sqrt (hypot re im))))
  (sqrt (fabs (cbrt (hypot re im))))
  (sqrt (sqrt (cbrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  1
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  1
  (sqrt (sqrt (hypot re im)))
  1/4
  1/2
  1/4
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (+ re im)
  (* 2 re)
  0
  (fma 3/8 (* (pow re 2) (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 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4)) (pow im 1/4))
  (pow (/ 1 re) -1/4)
  (pow (/ -1 re) -1/4)
14.489 * * * [progress]: adding candidates to table
15.130 * [progress]: [Phase 3 of 3] Extracting.
15.130 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (+ (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (cbrt (pow (sqrt (hypot re im)) 3)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (pow (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) 3))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (* (pow (pow (hypot re im) 1/4) 3/2) (pow (pow (hypot re im) 1/4) 3/2)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re)) (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (log (exp (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)))) 2.0))))>)
15.136 * * * [regime-changes]: Trying 2 branch expressions: (im re)
15.136 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (+ (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (cbrt (pow (sqrt (hypot re im)) 3)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (pow (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) 3))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (* (pow (pow (hypot re im) 1/4) 3/2) (pow (pow (hypot re im) 1/4) 3/2)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re)) (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (log (exp (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)))) 2.0))))>)
15.238 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (+ (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (cbrt (pow (sqrt (hypot re im)) 3)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (pow (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) 3))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (* (pow (pow (hypot re im) 1/4) 3/2) (pow (pow (hypot re im) 1/4) 3/2)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re)) (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (log (exp (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)))) 2.0))))>)
15.334 * * * [regime]: Found split indices: #<option (#s(si 5 25) #s(si 0 255))>
15.335 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (+ (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (cbrt (pow (sqrt (hypot re im)) 3)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (pow (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) 3))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (* (pow (pow (hypot re im) 1/4) 3/2) (pow (pow (hypot re im) 1/4) 3/2)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re)) (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (log (exp (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)))) 2.0))))>)
15.437 * [regimes]: Found splitpoints: (#s(sp 5 re -7.139122052802705e+196) #s(sp 0 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (+ (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (cbrt (pow (sqrt (hypot re im)) 3)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (pow (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) 3))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (hypot re im))) (* (pow (pow (hypot re im) 1/4) 3/2) (pow (pow (hypot re im) 1/4) 3/2)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re)) (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) (cbrt (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (log (exp (fma (sqrt (sqrt (hypot re im))) (pow (pow (hypot re im) 1/4) 3) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)))) 2.0))))>)
15.437 * [simplify]: Simplifying:
  (if (<= re -7.139122052802705e+196) (* 0.5 (sqrt (* (exp (log (+ (hypot re im) re))) 2.0))) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))
15.438 * * [simplify]: Extracting # 0 : cost  0
15.438 * * [simplify]: Extracting # 1 : cost  0
15.438 * * [simplify]: Extracting # 2 : cost  0
15.438 * * [simplify]: Extracting # 3 : cost  0
15.438 * * [simplify]: Extracting # 4 : cost  0
15.438 * * [simplify]: Extracting # 5 : cost  0
15.438 * * [simplify]: Extracting # 6 : cost  0
15.438 * * [simplify]: Extracting # 7 : cost  0
15.438 * * [simplify]: Extracting # 8 : cost  0
15.438 * * [simplify]: Extracting # 9 : cost  0
15.438 * * [simplify]: Extracting # 10 : cost  0
15.438 * * [simplify]: Extracting # 11 : cost  0
15.439 * * [simplify]: iteration  0 :  20  enodes  (cost  32 )
15.440 * * [simplify]: Extracting # 0 : cost  0
15.440 * * [simplify]: iteration  1 :  25  enodes  (cost  32 )
15.442 * * [simplify]: Extracting # 0 : cost  0
15.443 * * [simplify]: iteration done:  25  enodes  (cost  32 )
15.443 * [simplify]: Simplified to:
  (if (<= re -7.139122052802705e+196) (* 0.5 (sqrt (* (exp (log (+ (hypot re im) re))) 2.0))) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))
19.048 * [regime-testing]: Baseline error score: 16.156468615239334
19.052 * [regime-testing]: Oracle error score: 13.868082188122097
19.057 * [regime-testing]: End program error score: 15.208213090038784
19.154 * [regime-testing]: Target error score: 33.74875140290767