41.405 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.033 * * * [progress]: [2/2] Setting up program.
0.035 * [progress]: [Phase 2 of 3] Improving.
0.036 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.036 * * [simplify]: Extracting # 0 : cost  0
0.036 * * [simplify]: Extracting # 1 : cost  0
0.036 * * [simplify]: Extracting # 2 : cost  0
0.036 * * [simplify]: Extracting # 3 : cost  0
0.036 * * [simplify]: Extracting # 4 : cost  0
0.036 * * [simplify]: Extracting # 5 : cost  0
0.036 * * [simplify]: Extracting # 6 : cost  0
0.036 * * [simplify]: Extracting # 7 : cost  0
0.036 * * [simplify]: Extracting # 8 : cost  0
0.036 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.038 * * [simplify]: Extracting # 0 : cost  0
0.039 * * [simplify]: Extracting # 1 : cost  0
0.039 * * [simplify]: Extracting # 2 : cost  0
0.039 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.046 * * [simplify]: Extracting # 0 : cost  0
0.047 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.052 * * [simplify]: Extracting # 0 : cost  0
0.052 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.052 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.052 * * [progress]: iteration 1 / 4
0.053 * * * [progress]: picking best candidate
0.055 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.055 * * * [progress]: localizing error
0.068 * * * [progress]: generating rewritten candidates
0.068 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.076 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.136 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.178 * * * [progress]: generating series expansions
0.178 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.178 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.178 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.179 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.179 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.179 * [taylor]: Taking taylor expansion of re in im
0.179 * [backup-simplify]: Simplify re into re
0.179 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.179 * [taylor]: Taking taylor expansion of im in im
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.179 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.182 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.183 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.183 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.183 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.183 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.183 * [taylor]: Taking taylor expansion of re in re
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.184 * [taylor]: Taking taylor expansion of im in re
0.184 * [backup-simplify]: Simplify im into im
0.184 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.184 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.184 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.184 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.184 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.184 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.184 * [taylor]: Taking taylor expansion of re in re
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.184 * [taylor]: Taking taylor expansion of im in re
0.184 * [backup-simplify]: Simplify im into im
0.185 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.185 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.185 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.185 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.185 * [taylor]: Taking taylor expansion of im in im
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [taylor]: Taking taylor expansion of 0 in im
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (* 1 1) into 1
0.186 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.187 * [backup-simplify]: Simplify (+ 1 0) into 1
0.187 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.188 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.188 * [taylor]: Taking taylor expansion of 1/2 in im
0.188 * [backup-simplify]: Simplify 1/2 into 1/2
0.188 * [taylor]: Taking taylor expansion of im in im
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.191 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.192 * [taylor]: Taking taylor expansion of 0 in im
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.193 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.193 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.194 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.194 * [taylor]: Taking taylor expansion of im in im
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.194 * [backup-simplify]: Simplify (* 1 1) into 1
0.194 * [backup-simplify]: Simplify (/ 1 1) into 1
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.195 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.195 * [taylor]: Taking taylor expansion of re in im
0.195 * [backup-simplify]: Simplify re into re
0.195 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.195 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.195 * [backup-simplify]: Simplify (+ 1 0) into 1
0.196 * [backup-simplify]: Simplify (sqrt 1) into 1
0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.199 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.199 * [taylor]: Taking taylor expansion of im in re
0.199 * [backup-simplify]: Simplify im into im
0.199 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.199 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.199 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.199 * [taylor]: Taking taylor expansion of re in re
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify (* 1 1) into 1
0.200 * [backup-simplify]: Simplify (/ 1 1) into 1
0.201 * [backup-simplify]: Simplify (+ 0 1) into 1
0.201 * [backup-simplify]: Simplify (sqrt 1) into 1
0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.204 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.204 * [taylor]: Taking taylor expansion of im in re
0.204 * [backup-simplify]: Simplify im into im
0.204 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.204 * [taylor]: Taking taylor expansion of re in re
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (* 1 1) into 1
0.205 * [backup-simplify]: Simplify (/ 1 1) into 1
0.206 * [backup-simplify]: Simplify (+ 0 1) into 1
0.206 * [backup-simplify]: Simplify (sqrt 1) into 1
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 in im
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [taylor]: Taking taylor expansion of 0 in im
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.212 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.212 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.212 * [taylor]: Taking taylor expansion of 1/2 in im
0.212 * [backup-simplify]: Simplify 1/2 into 1/2
0.212 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.212 * [taylor]: Taking taylor expansion of im in im
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (* 1 1) into 1
0.213 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (+ 0 0) into 0
0.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.219 * [taylor]: Taking taylor expansion of 0 in im
0.219 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.221 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.221 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.222 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.222 * [taylor]: Taking taylor expansion of im in im
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify (* 1 1) into 1
0.222 * [backup-simplify]: Simplify (/ 1 1) into 1
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.222 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.222 * [taylor]: Taking taylor expansion of re in im
0.223 * [backup-simplify]: Simplify re into re
0.223 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.223 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.223 * [backup-simplify]: Simplify (+ 1 0) into 1
0.224 * [backup-simplify]: Simplify (sqrt 1) into 1
0.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.226 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.226 * [taylor]: Taking taylor expansion of im in re
0.226 * [backup-simplify]: Simplify im into im
0.226 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.227 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.227 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.227 * [taylor]: Taking taylor expansion of re in re
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (* 1 1) into 1
0.228 * [backup-simplify]: Simplify (/ 1 1) into 1
0.228 * [backup-simplify]: Simplify (+ 0 1) into 1
0.228 * [backup-simplify]: Simplify (sqrt 1) into 1
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.231 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.231 * [taylor]: Taking taylor expansion of im in re
0.231 * [backup-simplify]: Simplify im into im
0.232 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.232 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.232 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.232 * [taylor]: Taking taylor expansion of re in re
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [backup-simplify]: Simplify (+ 0 1) into 1
0.234 * [backup-simplify]: Simplify (sqrt 1) into 1
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.236 * [taylor]: Taking taylor expansion of 1 in im
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [taylor]: Taking taylor expansion of 0 in im
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.240 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.240 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.240 * [taylor]: Taking taylor expansion of 1/2 in im
0.240 * [backup-simplify]: Simplify 1/2 into 1/2
0.240 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.240 * [taylor]: Taking taylor expansion of im in im
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (* 1 1) into 1
0.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.246 * [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 * [taylor]: Taking taylor expansion of 0 in im
0.246 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.249 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.249 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.249 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.249 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.250 * [taylor]: Taking taylor expansion of re in im
0.250 * [backup-simplify]: Simplify re into re
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.250 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.250 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.250 * [taylor]: Taking taylor expansion of re in im
0.250 * [backup-simplify]: Simplify re into re
0.250 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.250 * [taylor]: Taking taylor expansion of im in im
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.250 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.250 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.250 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.251 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.251 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.251 * [taylor]: Taking taylor expansion of im in re
0.251 * [backup-simplify]: Simplify im into im
0.251 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.251 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.251 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.251 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.252 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.252 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.252 * [taylor]: Taking taylor expansion of re in re
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.252 * [taylor]: Taking taylor expansion of im in re
0.252 * [backup-simplify]: Simplify im into im
0.252 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.252 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.252 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.252 * [backup-simplify]: Simplify (+ 0 im) into im
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 0 into 0
0.253 * [backup-simplify]: Simplify (+ 1 0) into 1
0.253 * [taylor]: Taking taylor expansion of 1 in im
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify (* 1 1) into 1
0.253 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.254 * [backup-simplify]: Simplify (+ 1 0) into 1
0.254 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.254 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.254 * [taylor]: Taking taylor expansion of 1/2 in im
0.254 * [backup-simplify]: Simplify 1/2 into 1/2
0.254 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.254 * [taylor]: Taking taylor expansion of im in im
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [taylor]: Taking taylor expansion of 0 in im
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.259 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.259 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.259 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.259 * [taylor]: Taking taylor expansion of re in im
0.259 * [backup-simplify]: Simplify re into re
0.259 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.259 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.259 * [taylor]: Taking taylor expansion of im in im
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (* 1 1) into 1
0.259 * [backup-simplify]: Simplify (/ 1 1) into 1
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.259 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.259 * [taylor]: Taking taylor expansion of re in im
0.259 * [backup-simplify]: Simplify re into re
0.259 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.260 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.260 * [backup-simplify]: Simplify (+ 1 0) into 1
0.260 * [backup-simplify]: Simplify (sqrt 1) into 1
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.262 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.262 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.262 * [taylor]: Taking taylor expansion of im in re
0.262 * [backup-simplify]: Simplify im into im
0.262 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.262 * [taylor]: Taking taylor expansion of (pow re 2) 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
0.263 * [backup-simplify]: Simplify (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [backup-simplify]: Simplify (+ 0 1) into 1
0.263 * [backup-simplify]: Simplify (sqrt 1) into 1
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.265 * [taylor]: Taking taylor expansion of re in re
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (/ 1 1) into 1
0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.265 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.265 * [taylor]: Taking taylor expansion of im in re
0.265 * [backup-simplify]: Simplify im into im
0.265 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.265 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.265 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.265 * [taylor]: Taking taylor expansion of re in re
0.265 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (* 1 1) into 1
0.266 * [backup-simplify]: Simplify (/ 1 1) into 1
0.266 * [backup-simplify]: Simplify (+ 0 1) into 1
0.266 * [backup-simplify]: Simplify (sqrt 1) into 1
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.268 * [backup-simplify]: Simplify (+ 1 1) into 2
0.268 * [taylor]: Taking taylor expansion of 2 in im
0.268 * [backup-simplify]: Simplify 2 into 2
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [taylor]: Taking taylor expansion of 0 in im
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 2 into 2
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.272 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.272 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.272 * [taylor]: Taking taylor expansion of 1/2 in im
0.272 * [backup-simplify]: Simplify 1/2 into 1/2
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.272 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.272 * [taylor]: Taking taylor expansion of im in im
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (* 1 1) into 1
0.272 * [backup-simplify]: Simplify (/ 1 1) into 1
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [taylor]: Taking taylor expansion of 0 in im
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.279 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.280 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.280 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.280 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.280 * [taylor]: Taking taylor expansion of im in im
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* 1 1) into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.281 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.281 * [taylor]: Taking taylor expansion of re in im
0.281 * [backup-simplify]: Simplify re into re
0.281 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.281 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.281 * [backup-simplify]: Simplify (+ 1 0) into 1
0.282 * [backup-simplify]: Simplify (sqrt 1) into 1
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.284 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.284 * [taylor]: Taking taylor expansion of re in im
0.284 * [backup-simplify]: Simplify re into re
0.285 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.285 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.285 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.285 * [taylor]: Taking taylor expansion of im in re
0.285 * [backup-simplify]: Simplify im into im
0.285 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.285 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.285 * [taylor]: Taking taylor expansion of re in re
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (* 1 1) into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [backup-simplify]: Simplify (+ 0 1) into 1
0.287 * [backup-simplify]: Simplify (sqrt 1) into 1
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.290 * [taylor]: Taking taylor expansion of re in re
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.291 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.291 * [taylor]: Taking taylor expansion of im in re
0.291 * [backup-simplify]: Simplify im into im
0.291 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.291 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.291 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.291 * [taylor]: Taking taylor expansion of re in re
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (* 1 1) into 1
0.292 * [backup-simplify]: Simplify (/ 1 1) into 1
0.292 * [backup-simplify]: Simplify (+ 0 1) into 1
0.293 * [backup-simplify]: Simplify (sqrt 1) into 1
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.295 * [taylor]: Taking taylor expansion of re in re
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [backup-simplify]: Simplify (- 1) into -1
0.296 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.296 * [taylor]: Taking taylor expansion of 0 in im
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (- 0) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [taylor]: Taking taylor expansion of 0 in im
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.299 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (- 0) into 0
0.300 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.300 * [taylor]: Taking taylor expansion of 1/2 in im
0.300 * [backup-simplify]: Simplify 1/2 into 1/2
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.300 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.300 * [taylor]: Taking taylor expansion of im in im
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (* 1 1) into 1
0.301 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (- 0) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [taylor]: Taking taylor expansion of 0 in im
0.305 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.307 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))))
0.307 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.307 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.307 * [taylor]: Taking taylor expansion of 2.0 in im
0.307 * [backup-simplify]: Simplify 2.0 into 2.0
0.308 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.308 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.308 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.308 * [taylor]: Taking taylor expansion of re in im
0.308 * [backup-simplify]: Simplify re into re
0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.308 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.308 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.308 * [taylor]: Taking taylor expansion of re in im
0.308 * [backup-simplify]: Simplify re into re
0.308 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.308 * [taylor]: Taking taylor expansion of im in im
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.308 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.308 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.309 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.309 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.309 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.309 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.309 * [taylor]: Taking taylor expansion of 2.0 in re
0.309 * [backup-simplify]: Simplify 2.0 into 2.0
0.310 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.310 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.310 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.310 * [taylor]: Taking taylor expansion of re in re
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.310 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.310 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.310 * [taylor]: Taking taylor expansion of re in re
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.310 * [taylor]: Taking taylor expansion of im in re
0.310 * [backup-simplify]: Simplify im into im
0.310 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.311 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.311 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.311 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.317 * [backup-simplify]: Simplify (+ 0 im) into im
0.317 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.317 * [backup-simplify]: Simplify (+ 1 0) into 1
0.317 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.317 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.317 * [taylor]: Taking taylor expansion of 2.0 in re
0.317 * [backup-simplify]: Simplify 2.0 into 2.0
0.318 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.318 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.318 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.318 * [taylor]: Taking taylor expansion of re in re
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.318 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.318 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.318 * [taylor]: Taking taylor expansion of re in re
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.318 * [taylor]: Taking taylor expansion of im in re
0.318 * [backup-simplify]: Simplify im into im
0.318 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.318 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.319 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.319 * [backup-simplify]: Simplify (+ 0 im) into im
0.319 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.319 * [backup-simplify]: Simplify (+ 1 0) into 1
0.319 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.320 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.320 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.320 * [taylor]: Taking taylor expansion of 2.0 in im
0.320 * [backup-simplify]: Simplify 2.0 into 2.0
0.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.321 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.321 * [taylor]: Taking taylor expansion of im in im
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (sqrt 0) into 0
0.322 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.323 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.323 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.323 * [taylor]: Taking taylor expansion of 1/2 in im
0.323 * [backup-simplify]: Simplify 1/2 into 1/2
0.323 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.324 * [taylor]: Taking taylor expansion of 2.0 in im
0.324 * [backup-simplify]: Simplify 2.0 into 2.0
0.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.325 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.325 * [taylor]: Taking taylor expansion of im in im
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (/ 1 1) into 1
0.326 * [backup-simplify]: Simplify (sqrt 0) into 0
0.327 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.330 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.330 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.334 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.336 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.338 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.340 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.340 * [backup-simplify]: Simplify (* 1 1) into 1
0.341 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.341 * [backup-simplify]: Simplify (+ 1 0) into 1
0.342 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.342 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.343 * [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))))
0.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.345 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.345 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.345 * [taylor]: Taking taylor expansion of 1/8 in im
0.345 * [backup-simplify]: Simplify 1/8 into 1/8
0.345 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.345 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.345 * [taylor]: Taking taylor expansion of 2.0 in im
0.345 * [backup-simplify]: Simplify 2.0 into 2.0
0.346 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.346 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.346 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.346 * [taylor]: Taking taylor expansion of im in im
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify (* 1 1) into 1
0.347 * [backup-simplify]: Simplify (* 1 1) into 1
0.347 * [backup-simplify]: Simplify (/ 1 1) into 1
0.347 * [backup-simplify]: Simplify (sqrt 0) into 0
0.348 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.352 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.354 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.355 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.356 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.359 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.360 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.363 * [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)))))))
0.363 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))
0.363 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0
0.363 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.363 * [taylor]: Taking taylor expansion of 2.0 in im
0.363 * [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
0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.364 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.364 * [taylor]: Taking taylor expansion of re in im
0.364 * [backup-simplify]: Simplify re into re
0.364 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.364 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.364 * [taylor]: Taking taylor expansion of im in im
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 1 into 1
0.364 * [backup-simplify]: Simplify (* 1 1) into 1
0.365 * [backup-simplify]: Simplify (/ 1 1) into 1
0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.365 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.365 * [taylor]: Taking taylor expansion of re in im
0.365 * [backup-simplify]: Simplify re into re
0.365 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.365 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.365 * [backup-simplify]: Simplify (+ 1 0) into 1
0.366 * [backup-simplify]: Simplify (sqrt 1) into 1
0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.367 * [backup-simplify]: Simplify (+ 0 1) into 1
0.368 * [backup-simplify]: Simplify (sqrt 0) into 0
0.368 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.368 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.368 * [taylor]: Taking taylor expansion of 2.0 in re
0.368 * [backup-simplify]: Simplify 2.0 into 2.0
0.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.369 * [taylor]: Taking taylor expansion of re in re
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.370 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.370 * [taylor]: Taking taylor expansion of im in re
0.370 * [backup-simplify]: Simplify im into im
0.370 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.370 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.370 * [taylor]: Taking taylor expansion of re in re
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (* 1 1) into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.371 * [backup-simplify]: Simplify (+ 0 1) into 1
0.371 * [backup-simplify]: Simplify (sqrt 1) into 1
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.373 * [backup-simplify]: Simplify (+ 1 1) into 2
0.373 * [backup-simplify]: Simplify (sqrt 0) into 0
0.374 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.374 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.374 * [taylor]: Taking taylor expansion of 2.0 in re
0.374 * [backup-simplify]: Simplify 2.0 into 2.0
0.374 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.375 * [taylor]: Taking taylor expansion of re in re
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (/ 1 1) into 1
0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.375 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.375 * [taylor]: Taking taylor expansion of im in re
0.375 * [backup-simplify]: Simplify im into im
0.375 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.375 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.375 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.375 * [taylor]: Taking taylor expansion of re in re
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (* 1 1) into 1
0.376 * [backup-simplify]: Simplify (/ 1 1) into 1
0.376 * [backup-simplify]: Simplify (+ 0 1) into 1
0.376 * [backup-simplify]: Simplify (sqrt 1) into 1
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ 0 0) into 0
0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.378 * [backup-simplify]: Simplify (+ 1 1) into 2
0.378 * [backup-simplify]: Simplify (sqrt 0) into 0
0.379 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.380 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.380 * [taylor]: Taking taylor expansion of 0 in im
0.380 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.382 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.382 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.383 * [taylor]: Taking taylor expansion of +nan.0 in im
0.383 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.383 * [taylor]: Taking taylor expansion of 2.0 in im
0.383 * [backup-simplify]: Simplify 2.0 into 2.0
0.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.390 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.392 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.392 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.393 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.393 * [taylor]: Taking taylor expansion of +nan.0 in im
0.393 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.393 * [taylor]: Taking taylor expansion of 2.0 in im
0.393 * [backup-simplify]: Simplify 2.0 into 2.0
0.393 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (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)))
0.398 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.398 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.403 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.405 * [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))
0.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.408 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.408 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.408 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.408 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.408 * [taylor]: Taking taylor expansion of +nan.0 in im
0.408 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.408 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.409 * [taylor]: Taking taylor expansion of 2.0 in im
0.409 * [backup-simplify]: Simplify 2.0 into 2.0
0.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.410 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.410 * [taylor]: Taking taylor expansion of im in im
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 1 into 1
0.410 * [backup-simplify]: Simplify (* 1 1) into 1
0.411 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.411 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.411 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.411 * [taylor]: Taking taylor expansion of +nan.0 in im
0.411 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.412 * [taylor]: Taking taylor expansion of 2.0 in im
0.412 * [backup-simplify]: Simplify 2.0 into 2.0
0.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [backup-simplify]: Simplify (- 0) into 0
0.416 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.419 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.420 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.421 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.422 * [backup-simplify]: Simplify (- 0) into 0
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [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)))
0.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.428 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.428 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.428 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.428 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.428 * [taylor]: Taking taylor expansion of +nan.0 in im
0.428 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.428 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.428 * [taylor]: Taking taylor expansion of 2.0 in im
0.428 * [backup-simplify]: Simplify 2.0 into 2.0
0.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.429 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.429 * [taylor]: Taking taylor expansion of im in im
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [backup-simplify]: Simplify (* 1 1) into 1
0.430 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.430 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.430 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.430 * [taylor]: Taking taylor expansion of +nan.0 in im
0.430 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.430 * [taylor]: Taking taylor expansion of 2.0 in im
0.430 * [backup-simplify]: Simplify 2.0 into 2.0
0.430 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.432 * [backup-simplify]: Simplify (+ 0 0) into 0
0.432 * [backup-simplify]: Simplify (- 0) into 0
0.432 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.441 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.442 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.444 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.445 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.446 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.450 * [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)))))))
0.450 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))
0.450 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0
0.450 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.450 * [taylor]: Taking taylor expansion of 2.0 in im
0.450 * [backup-simplify]: Simplify 2.0 into 2.0
0.451 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.452 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.452 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.452 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.452 * [taylor]: Taking taylor expansion of im in im
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (* 1 1) into 1
0.453 * [backup-simplify]: Simplify (/ 1 1) into 1
0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.453 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.453 * [taylor]: Taking taylor expansion of re in im
0.453 * [backup-simplify]: Simplify re into re
0.453 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.453 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.454 * [backup-simplify]: Simplify (+ 1 0) into 1
0.454 * [backup-simplify]: Simplify (sqrt 1) into 1
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.457 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.457 * [taylor]: Taking taylor expansion of re in im
0.457 * [backup-simplify]: Simplify re into re
0.457 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.458 * [backup-simplify]: Simplify (+ 1 0) into 1
0.458 * [backup-simplify]: Simplify (sqrt 0) into 0
0.460 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.460 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.460 * [taylor]: Taking taylor expansion of 2.0 in re
0.460 * [backup-simplify]: Simplify 2.0 into 2.0
0.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.461 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.461 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.461 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.461 * [taylor]: Taking taylor expansion of im in re
0.461 * [backup-simplify]: Simplify im into im
0.461 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.462 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.462 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.462 * [taylor]: Taking taylor expansion of re in re
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (* 1 1) into 1
0.463 * [backup-simplify]: Simplify (/ 1 1) into 1
0.463 * [backup-simplify]: Simplify (+ 0 1) into 1
0.463 * [backup-simplify]: Simplify (sqrt 1) into 1
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.466 * [taylor]: Taking taylor expansion of re in re
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (/ 1 1) into 1
0.467 * [backup-simplify]: Simplify (- 1) into -1
0.467 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (- 0) into 0
0.468 * [backup-simplify]: Simplify (+ 0 0) into 0
0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.470 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (- 0) into 0
0.471 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.471 * [backup-simplify]: Simplify (sqrt 0) into 0
0.471 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.471 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.472 * [taylor]: Taking taylor expansion of 2.0 in re
0.472 * [backup-simplify]: Simplify 2.0 into 2.0
0.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.472 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.472 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.472 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.472 * [taylor]: Taking taylor expansion of im in re
0.472 * [backup-simplify]: Simplify im into im
0.472 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.473 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.473 * [taylor]: Taking taylor expansion of re in re
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (* 1 1) into 1
0.473 * [backup-simplify]: Simplify (/ 1 1) into 1
0.474 * [backup-simplify]: Simplify (+ 0 1) into 1
0.474 * [backup-simplify]: Simplify (sqrt 1) into 1
0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.475 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.475 * [taylor]: Taking taylor expansion of re in re
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (/ 1 1) into 1
0.476 * [backup-simplify]: Simplify (- 1) into -1
0.476 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (- 0) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.478 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.479 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (- 0) into 0
0.480 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.480 * [backup-simplify]: Simplify (sqrt 0) into 0
0.481 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.481 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.481 * [taylor]: Taking taylor expansion of 0 in im
0.481 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.482 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.482 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.482 * [taylor]: Taking taylor expansion of +nan.0 in im
0.482 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.482 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.482 * [taylor]: Taking taylor expansion of 2.0 in im
0.482 * [backup-simplify]: Simplify 2.0 into 2.0
0.482 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.483 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.483 * [taylor]: Taking taylor expansion of im in im
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (* 1 1) into 1
0.483 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.485 * [backup-simplify]: Simplify (- 0) into 0
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.487 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (- 0) into 0
0.488 * [backup-simplify]: Simplify (+ 0 0) into 0
0.489 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.490 * [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))))
0.490 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.490 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.490 * [taylor]: Taking taylor expansion of +nan.0 in im
0.490 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.490 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.490 * [taylor]: Taking taylor expansion of 2.0 in im
0.490 * [backup-simplify]: Simplify 2.0 into 2.0
0.491 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.491 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.491 * [taylor]: Taking taylor expansion of im in im
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.491 * [backup-simplify]: Simplify (* 1 1) into 1
0.492 * [backup-simplify]: Simplify (* 1 1) into 1
0.492 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) 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 (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.501 * [backup-simplify]: Simplify (- 0) into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.506 * [backup-simplify]: Simplify (- 0) into 0
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ 0 0) into 0
0.510 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (- 0) into 0
0.511 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.512 * [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))))))
0.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.514 * [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))))))
0.514 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.514 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.514 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.514 * [taylor]: Taking taylor expansion of +nan.0 in im
0.514 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.514 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.514 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.514 * [taylor]: Taking taylor expansion of 2.0 in im
0.514 * [backup-simplify]: Simplify 2.0 into 2.0
0.514 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.515 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.515 * [taylor]: Taking taylor expansion of im in im
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.516 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.516 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.516 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.516 * [taylor]: Taking taylor expansion of +nan.0 in im
0.516 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.516 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.516 * [taylor]: Taking taylor expansion of 2.0 in im
0.516 * [backup-simplify]: Simplify 2.0 into 2.0
0.516 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.517 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.517 * [taylor]: Taking taylor expansion of im in im
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [backup-simplify]: Simplify (* 1 1) into 1
0.517 * [backup-simplify]: Simplify (* 1 1) into 1
0.517 * [backup-simplify]: Simplify (* 1 1) into 1
0.518 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.527 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.551 * [backup-simplify]: Simplify (- 0) into 0
0.551 * [backup-simplify]: Simplify (+ 0 0) into 0
0.552 * [backup-simplify]: Simplify (- 0) into 0
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.552 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.552 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.552 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.552 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.552 * [taylor]: Taking taylor expansion of re in im
0.552 * [backup-simplify]: Simplify re into re
0.552 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.552 * [taylor]: Taking taylor expansion of im in im
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.552 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.552 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.552 * [taylor]: Taking taylor expansion of re in re
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.553 * [taylor]: Taking taylor expansion of im in re
0.553 * [backup-simplify]: Simplify im into im
0.553 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.553 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.553 * [taylor]: Taking taylor expansion of re in re
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.553 * [taylor]: Taking taylor expansion of im in re
0.553 * [backup-simplify]: Simplify im into im
0.553 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.553 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.553 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.553 * [taylor]: Taking taylor expansion of im in im
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.554 * [backup-simplify]: Simplify (+ 0 0) into 0
0.554 * [taylor]: Taking taylor expansion of 0 in im
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify (* 1 1) into 1
0.555 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.555 * [backup-simplify]: Simplify (+ 1 0) into 1
0.555 * [taylor]: Taking taylor expansion of 1 in im
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify (* 1 1) into 1
0.556 * [backup-simplify]: Simplify 1 into 1
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.557 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.558 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [taylor]: Taking taylor expansion of 0 in im
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.561 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.562 * [backup-simplify]: Simplify (+ 0 0) into 0
0.562 * [taylor]: Taking taylor expansion of 0 in im
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.563 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.563 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.563 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.563 * [taylor]: Taking taylor expansion of im in im
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (* 1 1) into 1
0.564 * [backup-simplify]: Simplify (/ 1 1) into 1
0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.564 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.564 * [taylor]: Taking taylor expansion of re in im
0.564 * [backup-simplify]: Simplify re into re
0.564 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.564 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.564 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.564 * [taylor]: Taking taylor expansion of im in re
0.564 * [backup-simplify]: Simplify im into im
0.564 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.564 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.564 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.564 * [taylor]: Taking taylor expansion of re in re
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 1 into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.565 * [backup-simplify]: Simplify (/ 1 1) into 1
0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.565 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.565 * [taylor]: Taking taylor expansion of im in re
0.565 * [backup-simplify]: Simplify im into im
0.565 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.566 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.566 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.566 * [taylor]: Taking taylor expansion of re in re
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 1 into 1
0.566 * [backup-simplify]: Simplify (* 1 1) into 1
0.566 * [backup-simplify]: Simplify (/ 1 1) into 1
0.567 * [backup-simplify]: Simplify (+ 0 1) into 1
0.567 * [taylor]: Taking taylor expansion of 1 in im
0.567 * [backup-simplify]: Simplify 1 into 1
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (+ 0 0) into 0
0.569 * [taylor]: Taking taylor expansion of 0 in im
0.569 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.571 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.571 * [taylor]: Taking taylor expansion of im in im
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (* 1 1) into 1
0.572 * [backup-simplify]: Simplify (/ 1 1) into 1
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify 1 into 1
0.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify (+ 0 0) into 0
0.576 * [taylor]: Taking taylor expansion of 0 in im
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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
0.578 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ 0 0) into 0
0.581 * [taylor]: Taking taylor expansion of 0 in im
0.581 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.584 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.584 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.584 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.584 * [taylor]: Taking taylor expansion of im in im
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify 1 into 1
0.584 * [backup-simplify]: Simplify (* 1 1) into 1
0.585 * [backup-simplify]: Simplify (/ 1 1) into 1
0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.585 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.585 * [taylor]: Taking taylor expansion of re in im
0.585 * [backup-simplify]: Simplify re into re
0.585 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.585 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.585 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.585 * [taylor]: Taking taylor expansion of im in re
0.585 * [backup-simplify]: Simplify im into im
0.585 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.585 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.585 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.585 * [taylor]: Taking taylor expansion of re in re
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 1 into 1
0.586 * [backup-simplify]: Simplify (* 1 1) into 1
0.586 * [backup-simplify]: Simplify (/ 1 1) into 1
0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.586 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.586 * [taylor]: Taking taylor expansion of im in re
0.586 * [backup-simplify]: Simplify im into im
0.587 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.587 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.587 * [taylor]: Taking taylor expansion of (pow re 2) 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
0.588 * [backup-simplify]: Simplify (/ 1 1) into 1
0.588 * [backup-simplify]: Simplify (+ 0 1) into 1
0.588 * [taylor]: Taking taylor expansion of 1 in im
0.588 * [backup-simplify]: Simplify 1 into 1
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (+ 0 0) into 0
0.590 * [taylor]: Taking taylor expansion of 0 in im
0.590 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.592 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.592 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.592 * [taylor]: Taking taylor expansion of im in im
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 1 into 1
0.593 * [backup-simplify]: Simplify (* 1 1) into 1
0.593 * [backup-simplify]: Simplify (/ 1 1) into 1
0.593 * [backup-simplify]: Simplify 1 into 1
0.593 * [backup-simplify]: Simplify 1 into 1
0.593 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ 0 0) into 0
0.596 * [taylor]: Taking taylor expansion of 0 in im
0.596 * [backup-simplify]: Simplify 0 into 0
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (+ 0 0) into 0
0.602 * [taylor]: Taking taylor expansion of 0 in im
0.602 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.604 * [backup-simplify]: Simplify 0 into 0
0.604 * [backup-simplify]: Simplify 0 into 0
0.604 * [backup-simplify]: Simplify 0 into 0
0.604 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.604 * * * [progress]: simplifying candidates
0.606 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +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
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
0.609 * * [simplify]: Extracting # 0 : cost  0
0.609 * * [simplify]: Extracting # 1 : cost  0
0.610 * * [simplify]: Extracting # 2 : cost  0
0.610 * * [simplify]: Extracting # 3 : cost  0
0.610 * * [simplify]: Extracting # 4 : cost  0
0.610 * * [simplify]: Extracting # 5 : cost  0
0.611 * * [simplify]: Extracting # 6 : cost  0
0.611 * * [simplify]: Extracting # 7 : cost  0
0.611 * * [simplify]: Extracting # 8 : cost  0
0.612 * * [simplify]: Extracting # 9 : cost  0
0.612 * * [simplify]: Extracting # 10 : cost  0
0.612 * * [simplify]: Extracting # 11 : cost  0
0.612 * * [simplify]: iteration  0 :  108  enodes  (cost  888 )
0.651 * * [simplify]: Extracting # 0 : cost  0
0.652 * * [simplify]: Extracting # 1 : cost  0
0.652 * * [simplify]: Extracting # 2 : cost  0
0.652 * * [simplify]: Extracting # 3 : cost  0
0.653 * * [simplify]: Extracting # 4 : cost  0
0.653 * * [simplify]: iteration  1 :  271  enodes  (cost  774 )
0.766 * * [simplify]: Extracting # 0 : cost  0
0.767 * * [simplify]: Extracting # 1 : cost  0
0.768 * * [simplify]: Extracting # 2 : cost  0
0.769 * * [simplify]: Extracting # 3 : cost  0
0.770 * * [simplify]: Extracting # 4 : cost  0
0.770 * * [simplify]: iteration  2 :  755  enodes  (cost  698 )
1.242 * * [simplify]: Extracting # 0 : cost  0
1.246 * * [simplify]: Extracting # 1 : cost  0
1.250 * * [simplify]: Extracting # 2 : cost  0
1.254 * * [simplify]: Extracting # 3 : cost  0
1.258 * * [simplify]: Extracting # 4 : cost  0
1.262 * * [simplify]: iteration  3 :  2070  enodes  (cost  673 )
2.713 * * [simplify]: Extracting # 0 : cost  0
2.721 * * [simplify]: Extracting # 1 : cost  0
2.732 * * [simplify]: Extracting # 2 : cost  0
2.743 * * [simplify]: Extracting # 3 : cost  0
2.753 * * [simplify]: Extracting # 4 : cost  0
2.770 * * [simplify]: iteration done:  5000  enodes  (cost  668 )
2.771 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im)))
  (sqrt (* (* im im) 2.0))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (+ (* re re) (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (pow (+ (* re re) (* im im)) 3)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow im 6) (pow re 6))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (- (* re re) (* im im))
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  (* (* +nan.0 (sqrt 2.0)) (- (- im re) (* re re)))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
  0
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
2.772 * * * [progress]: adding candidates to table
3.035 * * [progress]: iteration 2 / 4
3.035 * * * [progress]: picking best candidate
3.071 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.072 * * * [progress]: localizing error
3.089 * * * [progress]: generating rewritten candidates
3.089 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
3.104 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
3.121 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
3.164 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
3.276 * * * [progress]: generating series expansions
3.276 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
3.276 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.276 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.276 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.276 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.276 * [taylor]: Taking taylor expansion of re in im
3.276 * [backup-simplify]: Simplify re into re
3.276 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.276 * [taylor]: Taking taylor expansion of im in im
3.276 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify 1 into 1
3.277 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.277 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.277 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.277 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.278 * [backup-simplify]: Simplify (+ 0 0) into 0
3.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.278 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.278 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.278 * [taylor]: Taking taylor expansion of re in re
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify 1 into 1
3.278 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.278 * [taylor]: Taking taylor expansion of im in re
3.278 * [backup-simplify]: Simplify im into im
3.278 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.278 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.279 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.279 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.279 * [backup-simplify]: Simplify (+ 0 0) into 0
3.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.279 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.279 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.279 * [taylor]: Taking taylor expansion of re in re
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 1 into 1
3.280 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.280 * [taylor]: Taking taylor expansion of im in re
3.280 * [backup-simplify]: Simplify im into im
3.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.280 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.280 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.281 * [backup-simplify]: Simplify (+ 0 0) into 0
3.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.281 * [taylor]: Taking taylor expansion of im in im
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 1 into 1
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [taylor]: Taking taylor expansion of 0 in im
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 1 into 1
3.281 * [backup-simplify]: Simplify (* 1 1) into 1
3.282 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.282 * [backup-simplify]: Simplify (+ 1 0) into 1
3.283 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.283 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.283 * [taylor]: Taking taylor expansion of 1/2 in im
3.283 * [backup-simplify]: Simplify 1/2 into 1/2
3.283 * [taylor]: Taking taylor expansion of im in im
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify 1 into 1
3.284 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.285 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.286 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.287 * [backup-simplify]: Simplify (+ 0 0) into 0
3.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.287 * [taylor]: Taking taylor expansion of 0 in im
3.287 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify 0 into 0
3.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.288 * [backup-simplify]: Simplify 0 into 0
3.288 * [backup-simplify]: Simplify 0 into 0
3.288 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.289 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.289 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.289 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.289 * [taylor]: Taking taylor expansion of im in im
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 1 into 1
3.289 * [backup-simplify]: Simplify (* 1 1) into 1
3.290 * [backup-simplify]: Simplify (/ 1 1) into 1
3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.290 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.290 * [taylor]: Taking taylor expansion of re in im
3.290 * [backup-simplify]: Simplify re into re
3.290 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.290 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.292 * [backup-simplify]: Simplify (+ 1 0) into 1
3.292 * [backup-simplify]: Simplify (sqrt 1) into 1
3.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.295 * [backup-simplify]: Simplify (+ 0 0) into 0
3.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.296 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.296 * [taylor]: Taking taylor expansion of im in re
3.296 * [backup-simplify]: Simplify im into im
3.296 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.296 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.296 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.296 * [taylor]: Taking taylor expansion of re in re
3.296 * [backup-simplify]: Simplify 0 into 0
3.296 * [backup-simplify]: Simplify 1 into 1
3.297 * [backup-simplify]: Simplify (* 1 1) into 1
3.297 * [backup-simplify]: Simplify (/ 1 1) into 1
3.298 * [backup-simplify]: Simplify (+ 0 1) into 1
3.298 * [backup-simplify]: Simplify (sqrt 1) into 1
3.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.300 * [backup-simplify]: Simplify (+ 0 0) into 0
3.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.300 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.300 * [taylor]: Taking taylor expansion of im in re
3.301 * [backup-simplify]: Simplify im into im
3.301 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.301 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.301 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.301 * [taylor]: Taking taylor expansion of re in re
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [backup-simplify]: Simplify (* 1 1) into 1
3.302 * [backup-simplify]: Simplify (/ 1 1) into 1
3.302 * [backup-simplify]: Simplify (+ 0 1) into 1
3.302 * [backup-simplify]: Simplify (sqrt 1) into 1
3.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.304 * [backup-simplify]: Simplify (+ 0 0) into 0
3.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.305 * [taylor]: Taking taylor expansion of 1 in im
3.305 * [backup-simplify]: Simplify 1 into 1
3.305 * [taylor]: Taking taylor expansion of 0 in im
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 1 into 1
3.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.307 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.309 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.309 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.309 * [taylor]: Taking taylor expansion of 1/2 in im
3.309 * [backup-simplify]: Simplify 1/2 into 1/2
3.309 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.309 * [taylor]: Taking taylor expansion of im in im
3.309 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify 1 into 1
3.309 * [backup-simplify]: Simplify (* 1 1) into 1
3.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.311 * [backup-simplify]: Simplify 0 into 0
3.311 * [backup-simplify]: Simplify 0 into 0
3.311 * [backup-simplify]: Simplify 0 into 0
3.311 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.313 * [backup-simplify]: Simplify (+ 0 0) into 0
3.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.313 * [taylor]: Taking taylor expansion of 0 in im
3.313 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.315 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.315 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.315 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.315 * [taylor]: Taking taylor expansion of im in im
3.315 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify 1 into 1
3.315 * [backup-simplify]: Simplify (* 1 1) into 1
3.315 * [backup-simplify]: Simplify (/ 1 1) into 1
3.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.315 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.315 * [taylor]: Taking taylor expansion of re in im
3.315 * [backup-simplify]: Simplify re into re
3.315 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.315 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.316 * [backup-simplify]: Simplify (+ 1 0) into 1
3.316 * [backup-simplify]: Simplify (sqrt 1) into 1
3.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.317 * [backup-simplify]: Simplify (+ 0 0) into 0
3.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.318 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.318 * [taylor]: Taking taylor expansion of im in re
3.318 * [backup-simplify]: Simplify im into im
3.318 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.318 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.318 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.318 * [taylor]: Taking taylor expansion of re in re
3.318 * [backup-simplify]: Simplify 0 into 0
3.318 * [backup-simplify]: Simplify 1 into 1
3.318 * [backup-simplify]: Simplify (* 1 1) into 1
3.319 * [backup-simplify]: Simplify (/ 1 1) into 1
3.319 * [backup-simplify]: Simplify (+ 0 1) into 1
3.319 * [backup-simplify]: Simplify (sqrt 1) into 1
3.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.320 * [backup-simplify]: Simplify (+ 0 0) into 0
3.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.321 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.321 * [taylor]: Taking taylor expansion of im in re
3.321 * [backup-simplify]: Simplify im into im
3.321 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.321 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.321 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.321 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.321 * [taylor]: Taking taylor expansion of re in re
3.321 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify 1 into 1
3.321 * [backup-simplify]: Simplify (* 1 1) into 1
3.321 * [backup-simplify]: Simplify (/ 1 1) into 1
3.322 * [backup-simplify]: Simplify (+ 0 1) into 1
3.322 * [backup-simplify]: Simplify (sqrt 1) into 1
3.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.323 * [backup-simplify]: Simplify (+ 0 0) into 0
3.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.324 * [taylor]: Taking taylor expansion of 1 in im
3.324 * [backup-simplify]: Simplify 1 into 1
3.324 * [taylor]: Taking taylor expansion of 0 in im
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 1 into 1
3.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.325 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.326 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.326 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.326 * [taylor]: Taking taylor expansion of 1/2 in im
3.326 * [backup-simplify]: Simplify 1/2 into 1/2
3.326 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.326 * [taylor]: Taking taylor expansion of im in im
3.326 * [backup-simplify]: Simplify 0 into 0
3.326 * [backup-simplify]: Simplify 1 into 1
3.326 * [backup-simplify]: Simplify (* 1 1) into 1
3.326 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.329 * [backup-simplify]: Simplify (+ 0 0) into 0
3.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.330 * [taylor]: Taking taylor expansion of 0 in im
3.330 * [backup-simplify]: Simplify 0 into 0
3.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.331 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
3.331 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.331 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.331 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.331 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.331 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.331 * [taylor]: Taking taylor expansion of re in im
3.331 * [backup-simplify]: Simplify re into re
3.331 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.331 * [taylor]: Taking taylor expansion of im in im
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify 1 into 1
3.331 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.331 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.332 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.332 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.332 * [backup-simplify]: Simplify (+ 0 0) into 0
3.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.332 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.332 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.332 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.332 * [taylor]: Taking taylor expansion of re in re
3.332 * [backup-simplify]: Simplify 0 into 0
3.332 * [backup-simplify]: Simplify 1 into 1
3.332 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.332 * [taylor]: Taking taylor expansion of im in re
3.332 * [backup-simplify]: Simplify im into im
3.332 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.332 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.332 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.332 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.333 * [backup-simplify]: Simplify (+ 0 0) into 0
3.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.333 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.333 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.333 * [taylor]: Taking taylor expansion of re in re
3.333 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify 1 into 1
3.333 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.333 * [taylor]: Taking taylor expansion of im in re
3.333 * [backup-simplify]: Simplify im into im
3.333 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.333 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.333 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.333 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.334 * [backup-simplify]: Simplify (+ 0 0) into 0
3.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.334 * [taylor]: Taking taylor expansion of im in im
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 1 into 1
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [taylor]: Taking taylor expansion of 0 in im
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 1 into 1
3.334 * [backup-simplify]: Simplify (* 1 1) into 1
3.334 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.335 * [backup-simplify]: Simplify (+ 1 0) into 1
3.335 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.335 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.335 * [taylor]: Taking taylor expansion of 1/2 in im
3.335 * [backup-simplify]: Simplify 1/2 into 1/2
3.335 * [taylor]: Taking taylor expansion of im in im
3.335 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify 1 into 1
3.336 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 0 into 0
3.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.337 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.338 * [backup-simplify]: Simplify (+ 0 0) into 0
3.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.338 * [taylor]: Taking taylor expansion of 0 in im
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.339 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.339 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.339 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.339 * [taylor]: Taking taylor expansion of im in im
3.339 * [backup-simplify]: Simplify 0 into 0
3.339 * [backup-simplify]: Simplify 1 into 1
3.339 * [backup-simplify]: Simplify (* 1 1) into 1
3.339 * [backup-simplify]: Simplify (/ 1 1) into 1
3.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.339 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.339 * [taylor]: Taking taylor expansion of re in im
3.339 * [backup-simplify]: Simplify re into re
3.339 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.340 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.340 * [backup-simplify]: Simplify (+ 1 0) into 1
3.340 * [backup-simplify]: Simplify (sqrt 1) into 1
3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.341 * [backup-simplify]: Simplify (+ 0 0) into 0
3.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.342 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.342 * [taylor]: Taking taylor expansion of im in re
3.342 * [backup-simplify]: Simplify im into im
3.342 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.342 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.342 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.342 * [taylor]: Taking taylor expansion of re in re
3.342 * [backup-simplify]: Simplify 0 into 0
3.342 * [backup-simplify]: Simplify 1 into 1
3.342 * [backup-simplify]: Simplify (* 1 1) into 1
3.343 * [backup-simplify]: Simplify (/ 1 1) into 1
3.343 * [backup-simplify]: Simplify (+ 0 1) into 1
3.343 * [backup-simplify]: Simplify (sqrt 1) into 1
3.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.344 * [backup-simplify]: Simplify (+ 0 0) into 0
3.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.345 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.345 * [taylor]: Taking taylor expansion of im in re
3.345 * [backup-simplify]: Simplify im into im
3.345 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.345 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.345 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.345 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.345 * [taylor]: Taking taylor expansion of re in re
3.345 * [backup-simplify]: Simplify 0 into 0
3.345 * [backup-simplify]: Simplify 1 into 1
3.345 * [backup-simplify]: Simplify (* 1 1) into 1
3.345 * [backup-simplify]: Simplify (/ 1 1) into 1
3.346 * [backup-simplify]: Simplify (+ 0 1) into 1
3.346 * [backup-simplify]: Simplify (sqrt 1) into 1
3.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.347 * [backup-simplify]: Simplify (+ 0 0) into 0
3.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.348 * [taylor]: Taking taylor expansion of 1 in im
3.348 * [backup-simplify]: Simplify 1 into 1
3.348 * [taylor]: Taking taylor expansion of 0 in im
3.348 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify 1 into 1
3.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.349 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.350 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.350 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.350 * [taylor]: Taking taylor expansion of 1/2 in im
3.350 * [backup-simplify]: Simplify 1/2 into 1/2
3.350 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.350 * [taylor]: Taking taylor expansion of im in im
3.350 * [backup-simplify]: Simplify 0 into 0
3.350 * [backup-simplify]: Simplify 1 into 1
3.350 * [backup-simplify]: Simplify (* 1 1) into 1
3.350 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.353 * [backup-simplify]: Simplify (+ 0 0) into 0
3.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.353 * [taylor]: Taking taylor expansion of 0 in im
3.353 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.360 * [backup-simplify]: Simplify 0 into 0
3.360 * [backup-simplify]: Simplify 0 into 0
3.360 * [backup-simplify]: Simplify 0 into 0
3.360 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.360 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.360 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.360 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.360 * [taylor]: Taking taylor expansion of im in im
3.360 * [backup-simplify]: Simplify 0 into 0
3.360 * [backup-simplify]: Simplify 1 into 1
3.361 * [backup-simplify]: Simplify (* 1 1) into 1
3.361 * [backup-simplify]: Simplify (/ 1 1) into 1
3.361 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.361 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.361 * [taylor]: Taking taylor expansion of re in im
3.361 * [backup-simplify]: Simplify re into re
3.361 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.361 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.361 * [backup-simplify]: Simplify (+ 1 0) into 1
3.362 * [backup-simplify]: Simplify (sqrt 1) into 1
3.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.363 * [backup-simplify]: Simplify (+ 0 0) into 0
3.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.363 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.363 * [taylor]: Taking taylor expansion of im in re
3.363 * [backup-simplify]: Simplify im into im
3.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.364 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.364 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.364 * [taylor]: Taking taylor expansion of re in re
3.364 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify 1 into 1
3.364 * [backup-simplify]: Simplify (* 1 1) into 1
3.364 * [backup-simplify]: Simplify (/ 1 1) into 1
3.364 * [backup-simplify]: Simplify (+ 0 1) into 1
3.365 * [backup-simplify]: Simplify (sqrt 1) into 1
3.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.366 * [backup-simplify]: Simplify (+ 0 0) into 0
3.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.366 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.366 * [taylor]: Taking taylor expansion of im in re
3.366 * [backup-simplify]: Simplify im into im
3.366 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.366 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.367 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.367 * [taylor]: Taking taylor expansion of re in re
3.367 * [backup-simplify]: Simplify 0 into 0
3.367 * [backup-simplify]: Simplify 1 into 1
3.367 * [backup-simplify]: Simplify (* 1 1) into 1
3.367 * [backup-simplify]: Simplify (/ 1 1) into 1
3.368 * [backup-simplify]: Simplify (+ 0 1) into 1
3.368 * [backup-simplify]: Simplify (sqrt 1) into 1
3.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.369 * [backup-simplify]: Simplify (+ 0 0) into 0
3.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.369 * [taylor]: Taking taylor expansion of 1 in im
3.369 * [backup-simplify]: Simplify 1 into 1
3.369 * [taylor]: Taking taylor expansion of 0 in im
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.371 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.372 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.372 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.372 * [taylor]: Taking taylor expansion of 1/2 in im
3.372 * [backup-simplify]: Simplify 1/2 into 1/2
3.372 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.372 * [taylor]: Taking taylor expansion of im in im
3.372 * [backup-simplify]: Simplify 0 into 0
3.372 * [backup-simplify]: Simplify 1 into 1
3.372 * [backup-simplify]: Simplify (* 1 1) into 1
3.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.375 * [backup-simplify]: Simplify (+ 0 0) into 0
3.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.375 * [taylor]: Taking taylor expansion of 0 in im
3.375 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.376 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.377 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
3.377 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
3.377 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
3.377 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
3.377 * [taylor]: Taking taylor expansion of re in im
3.377 * [backup-simplify]: Simplify re into re
3.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.377 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.377 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.377 * [taylor]: Taking taylor expansion of re in im
3.377 * [backup-simplify]: Simplify re into re
3.377 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.377 * [taylor]: Taking taylor expansion of im in im
3.377 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify 1 into 1
3.377 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.377 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.378 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.378 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.378 * [backup-simplify]: Simplify (+ 0 0) into 0
3.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.378 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.378 * [taylor]: Taking taylor expansion of re in re
3.378 * [backup-simplify]: Simplify 0 into 0
3.378 * [backup-simplify]: Simplify 1 into 1
3.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.378 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.378 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.378 * [taylor]: Taking taylor expansion of re in re
3.378 * [backup-simplify]: Simplify 0 into 0
3.378 * [backup-simplify]: Simplify 1 into 1
3.378 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.378 * [taylor]: Taking taylor expansion of im in re
3.378 * [backup-simplify]: Simplify im into im
3.378 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.378 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.378 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.378 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.379 * [backup-simplify]: Simplify (+ 0 0) into 0
3.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.379 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.379 * [taylor]: Taking taylor expansion of re in re
3.379 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify 1 into 1
3.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.379 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.379 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.379 * [taylor]: Taking taylor expansion of re in re
3.379 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify 1 into 1
3.379 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.379 * [taylor]: Taking taylor expansion of im in re
3.379 * [backup-simplify]: Simplify im into im
3.379 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.379 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.379 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.380 * [backup-simplify]: Simplify (+ 0 0) into 0
3.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.380 * [backup-simplify]: Simplify (+ 0 im) into im
3.380 * [taylor]: Taking taylor expansion of im in im
3.380 * [backup-simplify]: Simplify 0 into 0
3.380 * [backup-simplify]: Simplify 1 into 1
3.380 * [backup-simplify]: Simplify 0 into 0
3.380 * [backup-simplify]: Simplify (+ 1 0) into 1
3.380 * [taylor]: Taking taylor expansion of 1 in im
3.380 * [backup-simplify]: Simplify 1 into 1
3.380 * [backup-simplify]: Simplify 1 into 1
3.380 * [backup-simplify]: Simplify 1 into 1
3.380 * [backup-simplify]: Simplify (* 1 1) into 1
3.381 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.381 * [backup-simplify]: Simplify (+ 1 0) into 1
3.382 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.382 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.382 * [taylor]: Taking taylor expansion of 1/2 in im
3.382 * [backup-simplify]: Simplify 1/2 into 1/2
3.382 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.382 * [taylor]: Taking taylor expansion of im in im
3.382 * [backup-simplify]: Simplify 0 into 0
3.382 * [backup-simplify]: Simplify 1 into 1
3.382 * [backup-simplify]: Simplify (/ 1 1) into 1
3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.383 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.384 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.384 * [backup-simplify]: Simplify (+ 0 0) into 0
3.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.384 * [backup-simplify]: Simplify (+ 0 0) into 0
3.384 * [taylor]: Taking taylor expansion of 0 in im
3.384 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.386 * [backup-simplify]: Simplify 0 into 0
3.386 * [backup-simplify]: Simplify 0 into 0
3.386 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.386 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
3.386 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.386 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.386 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.386 * [taylor]: Taking taylor expansion of re in im
3.386 * [backup-simplify]: Simplify re into re
3.386 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.386 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.386 * [taylor]: Taking taylor expansion of im in im
3.386 * [backup-simplify]: Simplify 0 into 0
3.386 * [backup-simplify]: Simplify 1 into 1
3.387 * [backup-simplify]: Simplify (* 1 1) into 1
3.387 * [backup-simplify]: Simplify (/ 1 1) into 1
3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.387 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.387 * [taylor]: Taking taylor expansion of re in im
3.387 * [backup-simplify]: Simplify re into re
3.387 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.387 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.388 * [backup-simplify]: Simplify (+ 1 0) into 1
3.388 * [backup-simplify]: Simplify (sqrt 1) into 1
3.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.389 * [backup-simplify]: Simplify (+ 0 0) into 0
3.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.389 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.389 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.389 * [taylor]: Taking taylor expansion of re in re
3.389 * [backup-simplify]: Simplify 0 into 0
3.389 * [backup-simplify]: Simplify 1 into 1
3.390 * [backup-simplify]: Simplify (/ 1 1) into 1
3.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.390 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.390 * [taylor]: Taking taylor expansion of im in re
3.390 * [backup-simplify]: Simplify im into im
3.390 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.390 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.390 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.390 * [taylor]: Taking taylor expansion of re in re
3.390 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify 1 into 1
3.390 * [backup-simplify]: Simplify (* 1 1) into 1
3.391 * [backup-simplify]: Simplify (/ 1 1) into 1
3.391 * [backup-simplify]: Simplify (+ 0 1) into 1
3.391 * [backup-simplify]: Simplify (sqrt 1) into 1
3.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.392 * [backup-simplify]: Simplify (+ 0 0) into 0
3.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.393 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.393 * [taylor]: Taking taylor expansion of re in re
3.393 * [backup-simplify]: Simplify 0 into 0
3.393 * [backup-simplify]: Simplify 1 into 1
3.393 * [backup-simplify]: Simplify (/ 1 1) into 1
3.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.393 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.393 * [taylor]: Taking taylor expansion of im in re
3.393 * [backup-simplify]: Simplify im into im
3.393 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.394 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.394 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.394 * [taylor]: Taking taylor expansion of re in re
3.394 * [backup-simplify]: Simplify 0 into 0
3.394 * [backup-simplify]: Simplify 1 into 1
3.394 * [backup-simplify]: Simplify (* 1 1) into 1
3.394 * [backup-simplify]: Simplify (/ 1 1) into 1
3.394 * [backup-simplify]: Simplify (+ 0 1) into 1
3.395 * [backup-simplify]: Simplify (sqrt 1) into 1
3.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.396 * [backup-simplify]: Simplify (+ 0 0) into 0
3.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.396 * [backup-simplify]: Simplify (+ 1 1) into 2
3.396 * [taylor]: Taking taylor expansion of 2 in im
3.396 * [backup-simplify]: Simplify 2 into 2
3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.397 * [backup-simplify]: Simplify (+ 0 0) into 0
3.397 * [taylor]: Taking taylor expansion of 0 in im
3.397 * [backup-simplify]: Simplify 0 into 0
3.397 * [backup-simplify]: Simplify 2 into 2
3.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.399 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.400 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.400 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.400 * [taylor]: Taking taylor expansion of 1/2 in im
3.400 * [backup-simplify]: Simplify 1/2 into 1/2
3.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.400 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.400 * [taylor]: Taking taylor expansion of im in im
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify 1 into 1
3.400 * [backup-simplify]: Simplify (* 1 1) into 1
3.401 * [backup-simplify]: Simplify (/ 1 1) into 1
3.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.402 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify 0 into 0
3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.403 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.404 * [backup-simplify]: Simplify (+ 0 0) into 0
3.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.405 * [backup-simplify]: Simplify (+ 0 0) into 0
3.405 * [taylor]: Taking taylor expansion of 0 in im
3.405 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.407 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.407 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
3.407 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.407 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.408 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.408 * [taylor]: Taking taylor expansion of im in im
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 1 into 1
3.408 * [backup-simplify]: Simplify (* 1 1) into 1
3.408 * [backup-simplify]: Simplify (/ 1 1) into 1
3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.408 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.408 * [taylor]: Taking taylor expansion of re in im
3.408 * [backup-simplify]: Simplify re into re
3.408 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.408 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.409 * [backup-simplify]: Simplify (+ 1 0) into 1
3.409 * [backup-simplify]: Simplify (sqrt 1) into 1
3.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.410 * [backup-simplify]: Simplify (+ 0 0) into 0
3.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.411 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.411 * [taylor]: Taking taylor expansion of re in im
3.411 * [backup-simplify]: Simplify re into re
3.411 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.411 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.411 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.411 * [taylor]: Taking taylor expansion of im in re
3.411 * [backup-simplify]: Simplify im into im
3.411 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.411 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.411 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.411 * [taylor]: Taking taylor expansion of re in re
3.411 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 1 into 1
3.412 * [backup-simplify]: Simplify (* 1 1) into 1
3.412 * [backup-simplify]: Simplify (/ 1 1) into 1
3.413 * [backup-simplify]: Simplify (+ 0 1) into 1
3.413 * [backup-simplify]: Simplify (sqrt 1) into 1
3.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.415 * [backup-simplify]: Simplify (+ 0 0) into 0
3.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.416 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.416 * [taylor]: Taking taylor expansion of re in re
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 1 into 1
3.417 * [backup-simplify]: Simplify (/ 1 1) into 1
3.417 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.417 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.417 * [taylor]: Taking taylor expansion of im in re
3.417 * [backup-simplify]: Simplify im into im
3.417 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.418 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.418 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.418 * [taylor]: Taking taylor expansion of re in re
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 1 into 1
3.418 * [backup-simplify]: Simplify (* 1 1) into 1
3.419 * [backup-simplify]: Simplify (/ 1 1) into 1
3.419 * [backup-simplify]: Simplify (+ 0 1) into 1
3.419 * [backup-simplify]: Simplify (sqrt 1) into 1
3.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.421 * [backup-simplify]: Simplify (+ 0 0) into 0
3.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.422 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.422 * [taylor]: Taking taylor expansion of re in re
3.422 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify 1 into 1
3.423 * [backup-simplify]: Simplify (/ 1 1) into 1
3.423 * [backup-simplify]: Simplify (- 1) into -1
3.423 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.423 * [taylor]: Taking taylor expansion of 0 in im
3.424 * [backup-simplify]: Simplify 0 into 0
3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.425 * [backup-simplify]: Simplify (- 0) into 0
3.425 * [backup-simplify]: Simplify (+ 0 0) into 0
3.425 * [taylor]: Taking taylor expansion of 0 in im
3.425 * [backup-simplify]: Simplify 0 into 0
3.425 * [backup-simplify]: Simplify 0 into 0
3.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.427 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.429 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.430 * [backup-simplify]: Simplify (- 0) into 0
3.430 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.430 * [taylor]: Taking taylor expansion of 1/2 in im
3.430 * [backup-simplify]: Simplify 1/2 into 1/2
3.430 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.430 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.430 * [taylor]: Taking taylor expansion of im in im
3.430 * [backup-simplify]: Simplify 0 into 0
3.431 * [backup-simplify]: Simplify 1 into 1
3.431 * [backup-simplify]: Simplify (* 1 1) into 1
3.431 * [backup-simplify]: Simplify (/ 1 1) into 1
3.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.433 * [backup-simplify]: Simplify 0 into 0
3.433 * [backup-simplify]: Simplify 0 into 0
3.434 * [backup-simplify]: Simplify 0 into 0
3.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.436 * [backup-simplify]: Simplify (+ 0 0) into 0
3.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.438 * [backup-simplify]: Simplify (- 0) into 0
3.438 * [backup-simplify]: Simplify (+ 0 0) into 0
3.439 * [taylor]: Taking taylor expansion of 0 in im
3.439 * [backup-simplify]: Simplify 0 into 0
3.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.440 * [backup-simplify]: Simplify 0 into 0
3.440 * [backup-simplify]: Simplify 0 into 0
3.440 * [backup-simplify]: Simplify 0 into 0
3.440 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
3.441 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
3.441 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.441 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.441 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.441 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.441 * [taylor]: Taking taylor expansion of re in im
3.441 * [backup-simplify]: Simplify re into re
3.441 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.441 * [taylor]: Taking taylor expansion of im in im
3.441 * [backup-simplify]: Simplify 0 into 0
3.441 * [backup-simplify]: Simplify 1 into 1
3.441 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.441 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.441 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.441 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.441 * [backup-simplify]: Simplify (+ 0 0) into 0
3.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.442 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.442 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.442 * [taylor]: Taking taylor expansion of re in re
3.442 * [backup-simplify]: Simplify 0 into 0
3.442 * [backup-simplify]: Simplify 1 into 1
3.442 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.442 * [taylor]: Taking taylor expansion of im in re
3.442 * [backup-simplify]: Simplify im into im
3.442 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.442 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.442 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.442 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.442 * [backup-simplify]: Simplify (+ 0 0) into 0
3.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.442 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.442 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.442 * [taylor]: Taking taylor expansion of re in re
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify 1 into 1
3.443 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.443 * [taylor]: Taking taylor expansion of im in re
3.443 * [backup-simplify]: Simplify im into im
3.443 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.443 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.443 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.443 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.443 * [backup-simplify]: Simplify (+ 0 0) into 0
3.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.443 * [taylor]: Taking taylor expansion of im in im
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify 1 into 1
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [taylor]: Taking taylor expansion of 0 in im
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify 1 into 1
3.444 * [backup-simplify]: Simplify (* 1 1) into 1
3.444 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.444 * [backup-simplify]: Simplify (+ 1 0) into 1
3.445 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.445 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.445 * [taylor]: Taking taylor expansion of 1/2 in im
3.445 * [backup-simplify]: Simplify 1/2 into 1/2
3.445 * [taylor]: Taking taylor expansion of im in im
3.445 * [backup-simplify]: Simplify 0 into 0
3.445 * [backup-simplify]: Simplify 1 into 1
3.445 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.446 * [backup-simplify]: Simplify 0 into 0
3.446 * [backup-simplify]: Simplify 0 into 0
3.446 * [backup-simplify]: Simplify 0 into 0
3.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.447 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.447 * [backup-simplify]: Simplify (+ 0 0) into 0
3.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.447 * [taylor]: Taking taylor expansion of 0 in im
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.448 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.448 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.448 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.448 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.448 * [taylor]: Taking taylor expansion of im in im
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify 1 into 1
3.449 * [backup-simplify]: Simplify (* 1 1) into 1
3.449 * [backup-simplify]: Simplify (/ 1 1) into 1
3.449 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.449 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.449 * [taylor]: Taking taylor expansion of re in im
3.449 * [backup-simplify]: Simplify re into re
3.449 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.449 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.449 * [backup-simplify]: Simplify (+ 1 0) into 1
3.450 * [backup-simplify]: Simplify (sqrt 1) into 1
3.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.451 * [backup-simplify]: Simplify (+ 0 0) into 0
3.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.451 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.451 * [taylor]: Taking taylor expansion of im in re
3.451 * [backup-simplify]: Simplify im into im
3.451 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.451 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.451 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.452 * [taylor]: Taking taylor expansion of re in re
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 1 into 1
3.452 * [backup-simplify]: Simplify (* 1 1) into 1
3.452 * [backup-simplify]: Simplify (/ 1 1) into 1
3.452 * [backup-simplify]: Simplify (+ 0 1) into 1
3.453 * [backup-simplify]: Simplify (sqrt 1) into 1
3.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.454 * [backup-simplify]: Simplify (+ 0 0) into 0
3.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.454 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.454 * [taylor]: Taking taylor expansion of im in re
3.454 * [backup-simplify]: Simplify im into im
3.454 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.454 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.454 * [taylor]: Taking taylor expansion of re in re
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 1 into 1
3.455 * [backup-simplify]: Simplify (* 1 1) into 1
3.455 * [backup-simplify]: Simplify (/ 1 1) into 1
3.455 * [backup-simplify]: Simplify (+ 0 1) into 1
3.456 * [backup-simplify]: Simplify (sqrt 1) into 1
3.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.457 * [backup-simplify]: Simplify (+ 0 0) into 0
3.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.457 * [taylor]: Taking taylor expansion of 1 in im
3.457 * [backup-simplify]: Simplify 1 into 1
3.457 * [taylor]: Taking taylor expansion of 0 in im
3.457 * [backup-simplify]: Simplify 0 into 0
3.457 * [backup-simplify]: Simplify 1 into 1
3.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.459 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.460 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.460 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.460 * [taylor]: Taking taylor expansion of 1/2 in im
3.460 * [backup-simplify]: Simplify 1/2 into 1/2
3.460 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.460 * [taylor]: Taking taylor expansion of im in im
3.460 * [backup-simplify]: Simplify 0 into 0
3.460 * [backup-simplify]: Simplify 1 into 1
3.461 * [backup-simplify]: Simplify (* 1 1) into 1
3.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.466 * [backup-simplify]: Simplify (+ 0 0) into 0
3.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.466 * [taylor]: Taking taylor expansion of 0 in im
3.466 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.470 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.470 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.470 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.470 * [taylor]: Taking taylor expansion of im in im
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify 1 into 1
3.471 * [backup-simplify]: Simplify (* 1 1) into 1
3.471 * [backup-simplify]: Simplify (/ 1 1) into 1
3.471 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.471 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.471 * [taylor]: Taking taylor expansion of re in im
3.471 * [backup-simplify]: Simplify re into re
3.471 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.471 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.480 * [backup-simplify]: Simplify (+ 1 0) into 1
3.481 * [backup-simplify]: Simplify (sqrt 1) into 1
3.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.483 * [backup-simplify]: Simplify (+ 0 0) into 0
3.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.485 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.485 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.485 * [taylor]: Taking taylor expansion of im in re
3.485 * [backup-simplify]: Simplify im into im
3.485 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.485 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.485 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.485 * [taylor]: Taking taylor expansion of re in re
3.485 * [backup-simplify]: Simplify 0 into 0
3.485 * [backup-simplify]: Simplify 1 into 1
3.486 * [backup-simplify]: Simplify (* 1 1) into 1
3.486 * [backup-simplify]: Simplify (/ 1 1) into 1
3.486 * [backup-simplify]: Simplify (+ 0 1) into 1
3.487 * [backup-simplify]: Simplify (sqrt 1) into 1
3.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.488 * [backup-simplify]: Simplify (+ 0 0) into 0
3.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.488 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.489 * [taylor]: Taking taylor expansion of im in re
3.489 * [backup-simplify]: Simplify im into im
3.489 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.489 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.489 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.489 * [taylor]: Taking taylor expansion of re in re
3.489 * [backup-simplify]: Simplify 0 into 0
3.489 * [backup-simplify]: Simplify 1 into 1
3.489 * [backup-simplify]: Simplify (* 1 1) into 1
3.489 * [backup-simplify]: Simplify (/ 1 1) into 1
3.490 * [backup-simplify]: Simplify (+ 0 1) into 1
3.490 * [backup-simplify]: Simplify (sqrt 1) into 1
3.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.491 * [backup-simplify]: Simplify (+ 0 0) into 0
3.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.492 * [taylor]: Taking taylor expansion of 1 in im
3.492 * [backup-simplify]: Simplify 1 into 1
3.492 * [taylor]: Taking taylor expansion of 0 in im
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify 1 into 1
3.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.493 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.494 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.494 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.494 * [taylor]: Taking taylor expansion of 1/2 in im
3.495 * [backup-simplify]: Simplify 1/2 into 1/2
3.495 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.495 * [taylor]: Taking taylor expansion of im in im
3.495 * [backup-simplify]: Simplify 0 into 0
3.495 * [backup-simplify]: Simplify 1 into 1
3.495 * [backup-simplify]: Simplify (* 1 1) into 1
3.495 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.496 * [backup-simplify]: Simplify 0 into 0
3.496 * [backup-simplify]: Simplify 0 into 0
3.496 * [backup-simplify]: Simplify 0 into 0
3.496 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.498 * [backup-simplify]: Simplify (+ 0 0) into 0
3.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.499 * [taylor]: Taking taylor expansion of 0 in im
3.499 * [backup-simplify]: Simplify 0 into 0
3.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.500 * * * [progress]: simplifying candidates
3.502 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
3.506 * * [simplify]: Extracting # 0 : cost  0
3.506 * * [simplify]: Extracting # 1 : cost  0
3.506 * * [simplify]: Extracting # 2 : cost  0
3.506 * * [simplify]: Extracting # 3 : cost  0
3.506 * * [simplify]: Extracting # 4 : cost  0
3.507 * * [simplify]: Extracting # 5 : cost  0
3.507 * * [simplify]: Extracting # 6 : cost  0
3.507 * * [simplify]: Extracting # 7 : cost  0
3.507 * * [simplify]: iteration  0 :  133  enodes  (cost  3041 )
3.553 * * [simplify]: Extracting # 0 : cost  0
3.553 * * [simplify]: Extracting # 1 : cost  0
3.554 * * [simplify]: Extracting # 2 : cost  0
3.554 * * [simplify]: Extracting # 3 : cost  0
3.554 * * [simplify]: Extracting # 4 : cost  0
3.554 * * [simplify]: Extracting # 5 : cost  0
3.555 * * [simplify]: iteration  1 :  264  enodes  (cost  1733 )
3.636 * * [simplify]: Extracting # 0 : cost  0
3.637 * * [simplify]: Extracting # 1 : cost  0
3.639 * * [simplify]: Extracting # 2 : cost  0
3.640 * * [simplify]: Extracting # 3 : cost  0
3.642 * * [simplify]: Extracting # 4 : cost  0
3.642 * * [simplify]: Extracting # 5 : cost  0
3.643 * * [simplify]: iteration  2 :  706  enodes  (cost  1579 )
4.169 * * [simplify]: Extracting # 0 : cost  0
4.171 * * [simplify]: Extracting # 1 : cost  0
4.173 * * [simplify]: Extracting # 2 : cost  0
4.175 * * [simplify]: Extracting # 3 : cost  0
4.177 * * [simplify]: Extracting # 4 : cost  0
4.179 * * [simplify]: Extracting # 5 : cost  0
4.181 * * [simplify]: iteration  3 :  2108  enodes  (cost  1520 )
5.716 * * [simplify]: Extracting # 0 : cost  0
5.727 * * [simplify]: Extracting # 1 : cost  0
5.733 * * [simplify]: Extracting # 2 : cost  0
5.739 * * [simplify]: Extracting # 3 : cost  0
5.749 * * [simplify]: Extracting # 4 : cost  0
5.755 * * [simplify]: Extracting # 5 : cost  0
5.765 * * [simplify]: iteration done:  5001  enodes  (cost  1479 )
5.767 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (pow (+ re (sqrt (+ (* re re) (* im im)))) 3)
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* re re) (* im im))
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (+ (* re re) (* im im))) 4)
  (+ (* re re) (* im im))
  (pow (sqrt (+ (* re re) (* im im))) 4)
  2
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (+ (* re re) (* im im))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  2
  1/2
  1
  1/2
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 5)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4)))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  im
  re
  (- re)
5.769 * * * [progress]: adding candidates to table
6.180 * * [progress]: iteration 3 / 4
6.180 * * * [progress]: picking best candidate
6.208 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))))>
6.208 * * * [progress]: localizing error
6.247 * * * [progress]: generating rewritten candidates
6.247 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
6.255 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
6.264 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
6.324 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2)
6.359 * * * [progress]: generating series expansions
6.359 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
6.359 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.359 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.359 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.359 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.359 * [taylor]: Taking taylor expansion of re in im
6.359 * [backup-simplify]: Simplify re into re
6.359 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.359 * [taylor]: Taking taylor expansion of im in im
6.359 * [backup-simplify]: Simplify 0 into 0
6.359 * [backup-simplify]: Simplify 1 into 1
6.360 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.360 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.360 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.360 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.361 * [backup-simplify]: Simplify (+ 0 0) into 0
6.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.361 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.361 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.361 * [taylor]: Taking taylor expansion of re in re
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify 1 into 1
6.361 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.361 * [taylor]: Taking taylor expansion of im in re
6.361 * [backup-simplify]: Simplify im into im
6.361 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.361 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.362 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.362 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.362 * [backup-simplify]: Simplify (+ 0 0) into 0
6.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.362 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.362 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.362 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.362 * [taylor]: Taking taylor expansion of re in re
6.362 * [backup-simplify]: Simplify 0 into 0
6.362 * [backup-simplify]: Simplify 1 into 1
6.362 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.362 * [taylor]: Taking taylor expansion of im in re
6.363 * [backup-simplify]: Simplify im into im
6.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.363 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.363 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.363 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.363 * [backup-simplify]: Simplify (+ 0 0) into 0
6.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.364 * [taylor]: Taking taylor expansion of im in im
6.364 * [backup-simplify]: Simplify 0 into 0
6.364 * [backup-simplify]: Simplify 1 into 1
6.364 * [backup-simplify]: Simplify 0 into 0
6.364 * [taylor]: Taking taylor expansion of 0 in im
6.364 * [backup-simplify]: Simplify 0 into 0
6.364 * [backup-simplify]: Simplify 0 into 0
6.364 * [backup-simplify]: Simplify 1 into 1
6.364 * [backup-simplify]: Simplify (* 1 1) into 1
6.365 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.365 * [backup-simplify]: Simplify (+ 1 0) into 1
6.366 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.366 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.366 * [taylor]: Taking taylor expansion of 1/2 in im
6.366 * [backup-simplify]: Simplify 1/2 into 1/2
6.366 * [taylor]: Taking taylor expansion of im in im
6.366 * [backup-simplify]: Simplify 0 into 0
6.366 * [backup-simplify]: Simplify 1 into 1
6.367 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.368 * [backup-simplify]: Simplify 0 into 0
6.368 * [backup-simplify]: Simplify 0 into 0
6.368 * [backup-simplify]: Simplify 0 into 0
6.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.370 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.370 * [backup-simplify]: Simplify (+ 0 0) into 0
6.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.370 * [taylor]: Taking taylor expansion of 0 in im
6.370 * [backup-simplify]: Simplify 0 into 0
6.371 * [backup-simplify]: Simplify 0 into 0
6.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.372 * [backup-simplify]: Simplify 0 into 0
6.372 * [backup-simplify]: Simplify 0 into 0
6.372 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.372 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.372 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.372 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.372 * [taylor]: Taking taylor expansion of im in im
6.372 * [backup-simplify]: Simplify 0 into 0
6.372 * [backup-simplify]: Simplify 1 into 1
6.373 * [backup-simplify]: Simplify (* 1 1) into 1
6.373 * [backup-simplify]: Simplify (/ 1 1) into 1
6.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.373 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.373 * [taylor]: Taking taylor expansion of re in im
6.373 * [backup-simplify]: Simplify re into re
6.373 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.374 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.374 * [backup-simplify]: Simplify (+ 1 0) into 1
6.375 * [backup-simplify]: Simplify (sqrt 1) into 1
6.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.376 * [backup-simplify]: Simplify (+ 0 0) into 0
6.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.377 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.377 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.377 * [taylor]: Taking taylor expansion of im in re
6.377 * [backup-simplify]: Simplify im into im
6.378 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.378 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.378 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.378 * [taylor]: Taking taylor expansion of re in re
6.378 * [backup-simplify]: Simplify 0 into 0
6.378 * [backup-simplify]: Simplify 1 into 1
6.378 * [backup-simplify]: Simplify (* 1 1) into 1
6.379 * [backup-simplify]: Simplify (/ 1 1) into 1
6.379 * [backup-simplify]: Simplify (+ 0 1) into 1
6.379 * [backup-simplify]: Simplify (sqrt 1) into 1
6.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.382 * [backup-simplify]: Simplify (+ 0 0) into 0
6.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.383 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.383 * [taylor]: Taking taylor expansion of im in re
6.383 * [backup-simplify]: Simplify im into im
6.383 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.383 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.383 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.383 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.383 * [taylor]: Taking taylor expansion of re in re
6.383 * [backup-simplify]: Simplify 0 into 0
6.383 * [backup-simplify]: Simplify 1 into 1
6.384 * [backup-simplify]: Simplify (* 1 1) into 1
6.384 * [backup-simplify]: Simplify (/ 1 1) into 1
6.384 * [backup-simplify]: Simplify (+ 0 1) into 1
6.385 * [backup-simplify]: Simplify (sqrt 1) into 1
6.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.386 * [backup-simplify]: Simplify (+ 0 0) into 0
6.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.387 * [taylor]: Taking taylor expansion of 1 in im
6.387 * [backup-simplify]: Simplify 1 into 1
6.387 * [taylor]: Taking taylor expansion of 0 in im
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 1 into 1
6.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.389 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.391 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.391 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.391 * [taylor]: Taking taylor expansion of 1/2 in im
6.391 * [backup-simplify]: Simplify 1/2 into 1/2
6.391 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.391 * [taylor]: Taking taylor expansion of im in im
6.391 * [backup-simplify]: Simplify 0 into 0
6.391 * [backup-simplify]: Simplify 1 into 1
6.391 * [backup-simplify]: Simplify (* 1 1) into 1
6.392 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.393 * [backup-simplify]: Simplify 0 into 0
6.393 * [backup-simplify]: Simplify 0 into 0
6.393 * [backup-simplify]: Simplify 0 into 0
6.394 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.396 * [backup-simplify]: Simplify (+ 0 0) into 0
6.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.397 * [taylor]: Taking taylor expansion of 0 in im
6.397 * [backup-simplify]: Simplify 0 into 0
6.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.400 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.400 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
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
6.400 * [backup-simplify]: Simplify (* 1 1) into 1
6.401 * [backup-simplify]: Simplify (/ 1 1) into 1
6.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.401 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.401 * [taylor]: Taking taylor expansion of re in im
6.401 * [backup-simplify]: Simplify re into re
6.401 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.401 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.402 * [backup-simplify]: Simplify (+ 1 0) into 1
6.402 * [backup-simplify]: Simplify (sqrt 1) into 1
6.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.404 * [backup-simplify]: Simplify (+ 0 0) into 0
6.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.405 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.405 * [taylor]: Taking taylor expansion of im in re
6.405 * [backup-simplify]: Simplify im into im
6.405 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.405 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.405 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.405 * [taylor]: Taking taylor expansion of re in re
6.405 * [backup-simplify]: Simplify 0 into 0
6.405 * [backup-simplify]: Simplify 1 into 1
6.406 * [backup-simplify]: Simplify (* 1 1) into 1
6.406 * [backup-simplify]: Simplify (/ 1 1) into 1
6.406 * [backup-simplify]: Simplify (+ 0 1) into 1
6.407 * [backup-simplify]: Simplify (sqrt 1) into 1
6.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.409 * [backup-simplify]: Simplify (+ 0 0) into 0
6.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.410 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.410 * [taylor]: Taking taylor expansion of im in re
6.410 * [backup-simplify]: Simplify im into im
6.410 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.410 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.410 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.410 * [taylor]: Taking taylor expansion of re in re
6.410 * [backup-simplify]: Simplify 0 into 0
6.410 * [backup-simplify]: Simplify 1 into 1
6.410 * [backup-simplify]: Simplify (* 1 1) into 1
6.411 * [backup-simplify]: Simplify (/ 1 1) into 1
6.411 * [backup-simplify]: Simplify (+ 0 1) into 1
6.412 * [backup-simplify]: Simplify (sqrt 1) into 1
6.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.413 * [backup-simplify]: Simplify (+ 0 0) into 0
6.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.414 * [taylor]: Taking taylor expansion of 1 in im
6.414 * [backup-simplify]: Simplify 1 into 1
6.414 * [taylor]: Taking taylor expansion of 0 in im
6.414 * [backup-simplify]: Simplify 0 into 0
6.415 * [backup-simplify]: Simplify 1 into 1
6.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.417 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.418 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.418 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.418 * [taylor]: Taking taylor expansion of 1/2 in im
6.418 * [backup-simplify]: Simplify 1/2 into 1/2
6.418 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.418 * [taylor]: Taking taylor expansion of im in im
6.418 * [backup-simplify]: Simplify 0 into 0
6.418 * [backup-simplify]: Simplify 1 into 1
6.419 * [backup-simplify]: Simplify (* 1 1) into 1
6.419 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.427 * [backup-simplify]: Simplify 0 into 0
6.427 * [backup-simplify]: Simplify 0 into 0
6.427 * [backup-simplify]: Simplify 0 into 0
6.427 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.430 * [backup-simplify]: Simplify (+ 0 0) into 0
6.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.431 * [taylor]: Taking taylor expansion of 0 in im
6.431 * [backup-simplify]: Simplify 0 into 0
6.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.434 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1)
6.434 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.434 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.434 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.434 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.434 * [taylor]: Taking taylor expansion of re in im
6.434 * [backup-simplify]: Simplify re into re
6.434 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.434 * [taylor]: Taking taylor expansion of im in im
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify 1 into 1
6.434 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.434 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.435 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.435 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.435 * [backup-simplify]: Simplify (+ 0 0) into 0
6.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.435 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.435 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.435 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.435 * [taylor]: Taking taylor expansion of re in re
6.435 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 1 into 1
6.436 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.436 * [taylor]: Taking taylor expansion of im in re
6.436 * [backup-simplify]: Simplify im into im
6.436 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.436 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.436 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.436 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.437 * [backup-simplify]: Simplify (+ 0 0) into 0
6.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.437 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.437 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.437 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.437 * [taylor]: Taking taylor expansion of re in re
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 1 into 1
6.437 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.437 * [taylor]: Taking taylor expansion of im in re
6.437 * [backup-simplify]: Simplify im into im
6.437 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.437 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.437 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.437 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.438 * [backup-simplify]: Simplify (+ 0 0) into 0
6.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.438 * [taylor]: Taking taylor expansion of im in im
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify 1 into 1
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [taylor]: Taking taylor expansion of 0 in im
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify 1 into 1
6.439 * [backup-simplify]: Simplify (* 1 1) into 1
6.439 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.440 * [backup-simplify]: Simplify (+ 1 0) into 1
6.441 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.441 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.441 * [taylor]: Taking taylor expansion of 1/2 in im
6.441 * [backup-simplify]: Simplify 1/2 into 1/2
6.441 * [taylor]: Taking taylor expansion of im in im
6.441 * [backup-simplify]: Simplify 0 into 0
6.441 * [backup-simplify]: Simplify 1 into 1
6.441 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 0 into 0
6.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.444 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.444 * [backup-simplify]: Simplify (+ 0 0) into 0
6.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.444 * [taylor]: Taking taylor expansion of 0 in im
6.444 * [backup-simplify]: Simplify 0 into 0
6.444 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.446 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.446 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.446 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.446 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.446 * [taylor]: Taking taylor expansion of im in im
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify 1 into 1
6.447 * [backup-simplify]: Simplify (* 1 1) into 1
6.447 * [backup-simplify]: Simplify (/ 1 1) into 1
6.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.447 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.447 * [taylor]: Taking taylor expansion of re in im
6.447 * [backup-simplify]: Simplify re into re
6.447 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.448 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.448 * [backup-simplify]: Simplify (+ 1 0) into 1
6.449 * [backup-simplify]: Simplify (sqrt 1) into 1
6.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.450 * [backup-simplify]: Simplify (+ 0 0) into 0
6.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.451 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.451 * [taylor]: Taking taylor expansion of im in re
6.451 * [backup-simplify]: Simplify im into im
6.452 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.452 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.452 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.452 * [taylor]: Taking taylor expansion of re in re
6.452 * [backup-simplify]: Simplify 0 into 0
6.452 * [backup-simplify]: Simplify 1 into 1
6.452 * [backup-simplify]: Simplify (* 1 1) into 1
6.453 * [backup-simplify]: Simplify (/ 1 1) into 1
6.453 * [backup-simplify]: Simplify (+ 0 1) into 1
6.454 * [backup-simplify]: Simplify (sqrt 1) into 1
6.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.455 * [backup-simplify]: Simplify (+ 0 0) into 0
6.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.456 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.456 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.456 * [taylor]: Taking taylor expansion of im in re
6.456 * [backup-simplify]: Simplify im into im
6.457 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.457 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.457 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.457 * [taylor]: Taking taylor expansion of re in re
6.457 * [backup-simplify]: Simplify 0 into 0
6.457 * [backup-simplify]: Simplify 1 into 1
6.457 * [backup-simplify]: Simplify (* 1 1) into 1
6.458 * [backup-simplify]: Simplify (/ 1 1) into 1
6.458 * [backup-simplify]: Simplify (+ 0 1) into 1
6.459 * [backup-simplify]: Simplify (sqrt 1) into 1
6.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.460 * [backup-simplify]: Simplify (+ 0 0) into 0
6.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.461 * [taylor]: Taking taylor expansion of 1 in im
6.461 * [backup-simplify]: Simplify 1 into 1
6.461 * [taylor]: Taking taylor expansion of 0 in im
6.461 * [backup-simplify]: Simplify 0 into 0
6.461 * [backup-simplify]: Simplify 1 into 1
6.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.463 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.464 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.464 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.464 * [taylor]: Taking taylor expansion of 1/2 in im
6.464 * [backup-simplify]: Simplify 1/2 into 1/2
6.464 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.464 * [taylor]: Taking taylor expansion of im in im
6.464 * [backup-simplify]: Simplify 0 into 0
6.464 * [backup-simplify]: Simplify 1 into 1
6.464 * [backup-simplify]: Simplify (* 1 1) into 1
6.464 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.465 * [backup-simplify]: Simplify 0 into 0
6.465 * [backup-simplify]: Simplify 0 into 0
6.465 * [backup-simplify]: Simplify 0 into 0
6.466 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.467 * [backup-simplify]: Simplify (+ 0 0) into 0
6.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.468 * [taylor]: Taking taylor expansion of 0 in im
6.468 * [backup-simplify]: Simplify 0 into 0
6.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.469 * [backup-simplify]: Simplify 0 into 0
6.469 * [backup-simplify]: Simplify 0 into 0
6.469 * [backup-simplify]: Simplify 0 into 0
6.469 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.469 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.469 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.469 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.469 * [taylor]: Taking taylor expansion of im in im
6.469 * [backup-simplify]: Simplify 0 into 0
6.469 * [backup-simplify]: Simplify 1 into 1
6.470 * [backup-simplify]: Simplify (* 1 1) into 1
6.470 * [backup-simplify]: Simplify (/ 1 1) into 1
6.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.470 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.470 * [taylor]: Taking taylor expansion of re in im
6.470 * [backup-simplify]: Simplify re into re
6.470 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.470 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.471 * [backup-simplify]: Simplify (+ 1 0) into 1
6.471 * [backup-simplify]: Simplify (sqrt 1) into 1
6.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.472 * [backup-simplify]: Simplify (+ 0 0) into 0
6.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.472 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.472 * [taylor]: Taking taylor expansion of im in re
6.472 * [backup-simplify]: Simplify im into im
6.472 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.473 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.473 * [taylor]: Taking taylor expansion of re in re
6.473 * [backup-simplify]: Simplify 0 into 0
6.473 * [backup-simplify]: Simplify 1 into 1
6.473 * [backup-simplify]: Simplify (* 1 1) into 1
6.473 * [backup-simplify]: Simplify (/ 1 1) into 1
6.473 * [backup-simplify]: Simplify (+ 0 1) into 1
6.474 * [backup-simplify]: Simplify (sqrt 1) into 1
6.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.475 * [backup-simplify]: Simplify (+ 0 0) into 0
6.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.475 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.475 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.475 * [taylor]: Taking taylor expansion of im in re
6.475 * [backup-simplify]: Simplify im into im
6.476 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.476 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.476 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.476 * [taylor]: Taking taylor expansion of re in re
6.476 * [backup-simplify]: Simplify 0 into 0
6.476 * [backup-simplify]: Simplify 1 into 1
6.476 * [backup-simplify]: Simplify (* 1 1) into 1
6.476 * [backup-simplify]: Simplify (/ 1 1) into 1
6.476 * [backup-simplify]: Simplify (+ 0 1) into 1
6.477 * [backup-simplify]: Simplify (sqrt 1) into 1
6.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.478 * [backup-simplify]: Simplify (+ 0 0) into 0
6.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.478 * [taylor]: Taking taylor expansion of 1 in im
6.478 * [backup-simplify]: Simplify 1 into 1
6.478 * [taylor]: Taking taylor expansion of 0 in im
6.478 * [backup-simplify]: Simplify 0 into 0
6.478 * [backup-simplify]: Simplify 1 into 1
6.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.480 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.481 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.481 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.481 * [taylor]: Taking taylor expansion of 1/2 in im
6.481 * [backup-simplify]: Simplify 1/2 into 1/2
6.481 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.481 * [taylor]: Taking taylor expansion of im in im
6.481 * [backup-simplify]: Simplify 0 into 0
6.481 * [backup-simplify]: Simplify 1 into 1
6.481 * [backup-simplify]: Simplify (* 1 1) into 1
6.481 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.484 * [backup-simplify]: Simplify (+ 0 0) into 0
6.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.484 * [taylor]: Taking taylor expansion of 0 in im
6.484 * [backup-simplify]: Simplify 0 into 0
6.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.486 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
6.487 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
6.487 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
6.487 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
6.487 * [taylor]: Taking taylor expansion of re in im
6.487 * [backup-simplify]: Simplify re into re
6.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.487 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.487 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.487 * [taylor]: Taking taylor expansion of re in im
6.487 * [backup-simplify]: Simplify re into re
6.487 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.487 * [taylor]: Taking taylor expansion of im in im
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [backup-simplify]: Simplify 1 into 1
6.487 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.487 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.487 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.487 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.487 * [backup-simplify]: Simplify (+ 0 0) into 0
6.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.488 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.488 * [taylor]: Taking taylor expansion of re in re
6.488 * [backup-simplify]: Simplify 0 into 0
6.488 * [backup-simplify]: Simplify 1 into 1
6.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.488 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.488 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.488 * [taylor]: Taking taylor expansion of re in re
6.488 * [backup-simplify]: Simplify 0 into 0
6.488 * [backup-simplify]: Simplify 1 into 1
6.488 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.488 * [taylor]: Taking taylor expansion of im in re
6.488 * [backup-simplify]: Simplify im into im
6.488 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.488 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.488 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.488 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.488 * [backup-simplify]: Simplify (+ 0 0) into 0
6.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.488 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.489 * [taylor]: Taking taylor expansion of re in re
6.489 * [backup-simplify]: Simplify 0 into 0
6.489 * [backup-simplify]: Simplify 1 into 1
6.489 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.489 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.489 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.489 * [taylor]: Taking taylor expansion of re in re
6.489 * [backup-simplify]: Simplify 0 into 0
6.489 * [backup-simplify]: Simplify 1 into 1
6.489 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.489 * [taylor]: Taking taylor expansion of im in re
6.489 * [backup-simplify]: Simplify im into im
6.489 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.489 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.489 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.489 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.489 * [backup-simplify]: Simplify (+ 0 0) into 0
6.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.489 * [backup-simplify]: Simplify (+ 0 im) into im
6.489 * [taylor]: Taking taylor expansion of im in im
6.489 * [backup-simplify]: Simplify 0 into 0
6.489 * [backup-simplify]: Simplify 1 into 1
6.490 * [backup-simplify]: Simplify 0 into 0
6.490 * [backup-simplify]: Simplify (+ 1 0) into 1
6.490 * [taylor]: Taking taylor expansion of 1 in im
6.490 * [backup-simplify]: Simplify 1 into 1
6.490 * [backup-simplify]: Simplify 1 into 1
6.490 * [backup-simplify]: Simplify 1 into 1
6.490 * [backup-simplify]: Simplify (* 1 1) into 1
6.491 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.491 * [backup-simplify]: Simplify (+ 1 0) into 1
6.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.492 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.492 * [taylor]: Taking taylor expansion of 1/2 in im
6.492 * [backup-simplify]: Simplify 1/2 into 1/2
6.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.492 * [taylor]: Taking taylor expansion of im in im
6.492 * [backup-simplify]: Simplify 0 into 0
6.492 * [backup-simplify]: Simplify 1 into 1
6.493 * [backup-simplify]: Simplify (/ 1 1) into 1
6.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.494 * [backup-simplify]: Simplify 0 into 0
6.494 * [backup-simplify]: Simplify 0 into 0
6.494 * [backup-simplify]: Simplify 0 into 0
6.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.496 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.496 * [backup-simplify]: Simplify (+ 0 0) into 0
6.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.497 * [backup-simplify]: Simplify (+ 0 0) into 0
6.497 * [taylor]: Taking taylor expansion of 0 in im
6.497 * [backup-simplify]: Simplify 0 into 0
6.497 * [backup-simplify]: Simplify 0 into 0
6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.499 * [backup-simplify]: Simplify 0 into 0
6.499 * [backup-simplify]: Simplify 0 into 0
6.499 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
6.501 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3)) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
6.501 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
6.501 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.501 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.501 * [taylor]: Taking taylor expansion of re in im
6.501 * [backup-simplify]: Simplify re into re
6.501 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.501 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.501 * [taylor]: Taking taylor expansion of im in im
6.501 * [backup-simplify]: Simplify 0 into 0
6.501 * [backup-simplify]: Simplify 1 into 1
6.502 * [backup-simplify]: Simplify (* 1 1) into 1
6.502 * [backup-simplify]: Simplify (/ 1 1) into 1
6.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.502 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.502 * [taylor]: Taking taylor expansion of re in im
6.502 * [backup-simplify]: Simplify re into re
6.502 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.503 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.503 * [backup-simplify]: Simplify (+ 1 0) into 1
6.504 * [backup-simplify]: Simplify (sqrt 1) into 1
6.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.506 * [backup-simplify]: Simplify (+ 0 0) into 0
6.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.507 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.507 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.507 * [taylor]: Taking taylor expansion of re in re
6.507 * [backup-simplify]: Simplify 0 into 0
6.507 * [backup-simplify]: Simplify 1 into 1
6.507 * [backup-simplify]: Simplify (/ 1 1) into 1
6.507 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.507 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.507 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.507 * [taylor]: Taking taylor expansion of im in re
6.507 * [backup-simplify]: Simplify im into im
6.507 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.508 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.508 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.508 * [taylor]: Taking taylor expansion of re in re
6.508 * [backup-simplify]: Simplify 0 into 0
6.508 * [backup-simplify]: Simplify 1 into 1
6.508 * [backup-simplify]: Simplify (* 1 1) into 1
6.509 * [backup-simplify]: Simplify (/ 1 1) into 1
6.509 * [backup-simplify]: Simplify (+ 0 1) into 1
6.509 * [backup-simplify]: Simplify (sqrt 1) into 1
6.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.511 * [backup-simplify]: Simplify (+ 0 0) into 0
6.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.512 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.512 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.512 * [taylor]: Taking taylor expansion of re in re
6.512 * [backup-simplify]: Simplify 0 into 0
6.512 * [backup-simplify]: Simplify 1 into 1
6.513 * [backup-simplify]: Simplify (/ 1 1) into 1
6.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.513 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.513 * [taylor]: Taking taylor expansion of im in re
6.513 * [backup-simplify]: Simplify im into im
6.513 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.513 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.513 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.513 * [taylor]: Taking taylor expansion of re in re
6.513 * [backup-simplify]: Simplify 0 into 0
6.513 * [backup-simplify]: Simplify 1 into 1
6.514 * [backup-simplify]: Simplify (* 1 1) into 1
6.514 * [backup-simplify]: Simplify (/ 1 1) into 1
6.515 * [backup-simplify]: Simplify (+ 0 1) into 1
6.515 * [backup-simplify]: Simplify (sqrt 1) into 1
6.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.517 * [backup-simplify]: Simplify (+ 0 0) into 0
6.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.518 * [backup-simplify]: Simplify (+ 1 1) into 2
6.518 * [taylor]: Taking taylor expansion of 2 in im
6.518 * [backup-simplify]: Simplify 2 into 2
6.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.520 * [backup-simplify]: Simplify (+ 0 0) into 0
6.520 * [taylor]: Taking taylor expansion of 0 in im
6.520 * [backup-simplify]: Simplify 0 into 0
6.520 * [backup-simplify]: Simplify 2 into 2
6.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.523 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.524 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.525 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.525 * [taylor]: Taking taylor expansion of 1/2 in im
6.525 * [backup-simplify]: Simplify 1/2 into 1/2
6.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.525 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.525 * [taylor]: Taking taylor expansion of im in im
6.525 * [backup-simplify]: Simplify 0 into 0
6.525 * [backup-simplify]: Simplify 1 into 1
6.525 * [backup-simplify]: Simplify (* 1 1) into 1
6.526 * [backup-simplify]: Simplify (/ 1 1) into 1
6.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.527 * [backup-simplify]: Simplify 0 into 0
6.527 * [backup-simplify]: Simplify 0 into 0
6.527 * [backup-simplify]: Simplify 0 into 0
6.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.528 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.529 * [backup-simplify]: Simplify (+ 0 0) into 0
6.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.530 * [backup-simplify]: Simplify (+ 0 0) into 0
6.530 * [taylor]: Taking taylor expansion of 0 in im
6.530 * [backup-simplify]: Simplify 0 into 0
6.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.532 * [backup-simplify]: Simplify 0 into 0
6.532 * [backup-simplify]: Simplify 0 into 0
6.532 * [backup-simplify]: Simplify 0 into 0
6.532 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
6.533 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3)) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
6.533 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
6.533 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
6.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.533 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.533 * [taylor]: Taking taylor expansion of im in im
6.533 * [backup-simplify]: Simplify 0 into 0
6.533 * [backup-simplify]: Simplify 1 into 1
6.533 * [backup-simplify]: Simplify (* 1 1) into 1
6.533 * [backup-simplify]: Simplify (/ 1 1) into 1
6.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.534 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.534 * [taylor]: Taking taylor expansion of re in im
6.534 * [backup-simplify]: Simplify re into re
6.534 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.534 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.534 * [backup-simplify]: Simplify (+ 1 0) into 1
6.534 * [backup-simplify]: Simplify (sqrt 1) into 1
6.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.536 * [backup-simplify]: Simplify (+ 0 0) into 0
6.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.536 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.536 * [taylor]: Taking taylor expansion of re in im
6.536 * [backup-simplify]: Simplify re into re
6.536 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.536 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.536 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.536 * [taylor]: Taking taylor expansion of im in re
6.536 * [backup-simplify]: Simplify im into im
6.536 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.536 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.537 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.537 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.537 * [taylor]: Taking taylor expansion of re in re
6.537 * [backup-simplify]: Simplify 0 into 0
6.537 * [backup-simplify]: Simplify 1 into 1
6.537 * [backup-simplify]: Simplify (* 1 1) into 1
6.537 * [backup-simplify]: Simplify (/ 1 1) into 1
6.537 * [backup-simplify]: Simplify (+ 0 1) into 1
6.538 * [backup-simplify]: Simplify (sqrt 1) into 1
6.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.539 * [backup-simplify]: Simplify (+ 0 0) into 0
6.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.539 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.539 * [taylor]: Taking taylor expansion of re in re
6.539 * [backup-simplify]: Simplify 0 into 0
6.539 * [backup-simplify]: Simplify 1 into 1
6.539 * [backup-simplify]: Simplify (/ 1 1) into 1
6.539 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.540 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.540 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.540 * [taylor]: Taking taylor expansion of im in re
6.540 * [backup-simplify]: Simplify im into im
6.540 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.540 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.540 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.540 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.540 * [taylor]: Taking taylor expansion of re in re
6.540 * [backup-simplify]: Simplify 0 into 0
6.540 * [backup-simplify]: Simplify 1 into 1
6.540 * [backup-simplify]: Simplify (* 1 1) into 1
6.540 * [backup-simplify]: Simplify (/ 1 1) into 1
6.541 * [backup-simplify]: Simplify (+ 0 1) into 1
6.541 * [backup-simplify]: Simplify (sqrt 1) into 1
6.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.542 * [backup-simplify]: Simplify (+ 0 0) into 0
6.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.542 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.542 * [taylor]: Taking taylor expansion of re in re
6.542 * [backup-simplify]: Simplify 0 into 0
6.543 * [backup-simplify]: Simplify 1 into 1
6.543 * [backup-simplify]: Simplify (/ 1 1) into 1
6.543 * [backup-simplify]: Simplify (- 1) into -1
6.543 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.543 * [taylor]: Taking taylor expansion of 0 in im
6.543 * [backup-simplify]: Simplify 0 into 0
6.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.544 * [backup-simplify]: Simplify (- 0) into 0
6.544 * [backup-simplify]: Simplify (+ 0 0) into 0
6.544 * [taylor]: Taking taylor expansion of 0 in im
6.544 * [backup-simplify]: Simplify 0 into 0
6.544 * [backup-simplify]: Simplify 0 into 0
6.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.546 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.547 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.547 * [backup-simplify]: Simplify (- 0) into 0
6.547 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.548 * [taylor]: Taking taylor expansion of 1/2 in im
6.548 * [backup-simplify]: Simplify 1/2 into 1/2
6.548 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.548 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.548 * [taylor]: Taking taylor expansion of im in im
6.548 * [backup-simplify]: Simplify 0 into 0
6.548 * [backup-simplify]: Simplify 1 into 1
6.548 * [backup-simplify]: Simplify (* 1 1) into 1
6.548 * [backup-simplify]: Simplify (/ 1 1) into 1
6.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.549 * [backup-simplify]: Simplify 0 into 0
6.549 * [backup-simplify]: Simplify 0 into 0
6.549 * [backup-simplify]: Simplify 0 into 0
6.550 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.551 * [backup-simplify]: Simplify (+ 0 0) into 0
6.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.552 * [backup-simplify]: Simplify (- 0) into 0
6.553 * [backup-simplify]: Simplify (+ 0 0) into 0
6.553 * [taylor]: Taking taylor expansion of 0 in im
6.553 * [backup-simplify]: Simplify 0 into 0
6.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.563 * [backup-simplify]: Simplify 0 into 0
6.563 * [backup-simplify]: Simplify 0 into 0
6.563 * [backup-simplify]: Simplify 0 into 0
6.563 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2)
6.563 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3)
6.563 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in (re im) around 0
6.563 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in im
6.563 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in im
6.563 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in im
6.564 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in im
6.564 * [taylor]: Taking taylor expansion of 1/8 in im
6.564 * [backup-simplify]: Simplify 1/8 into 1/8
6.564 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
6.564 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.564 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.564 * [taylor]: Taking taylor expansion of re in im
6.564 * [backup-simplify]: Simplify re into re
6.564 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.564 * [taylor]: Taking taylor expansion of im in im
6.564 * [backup-simplify]: Simplify 0 into 0
6.564 * [backup-simplify]: Simplify 1 into 1
6.564 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.564 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.564 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
6.564 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2)))
6.565 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8)
6.565 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
6.565 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
6.565 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
6.565 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
6.565 * [taylor]: Taking taylor expansion of 1/8 in re
6.565 * [backup-simplify]: Simplify 1/8 into 1/8
6.565 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
6.565 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.565 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.565 * [taylor]: Taking taylor expansion of re in re
6.565 * [backup-simplify]: Simplify 0 into 0
6.565 * [backup-simplify]: Simplify 1 into 1
6.565 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.565 * [taylor]: Taking taylor expansion of im in re
6.565 * [backup-simplify]: Simplify im into im
6.565 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.565 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.565 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
6.566 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
6.566 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
6.566 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
6.566 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
6.566 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
6.566 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
6.566 * [taylor]: Taking taylor expansion of 1/8 in re
6.566 * [backup-simplify]: Simplify 1/8 into 1/8
6.566 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
6.566 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.566 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.566 * [taylor]: Taking taylor expansion of re in re
6.566 * [backup-simplify]: Simplify 0 into 0
6.566 * [backup-simplify]: Simplify 1 into 1
6.566 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.566 * [taylor]: Taking taylor expansion of im in re
6.566 * [backup-simplify]: Simplify im into im
6.566 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.567 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.567 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
6.567 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
6.567 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
6.567 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (pow (pow im 2) 1/8)) into (sqrt im)
6.568 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (sqrt im)) into (pow (pow im 3) 1/4)
6.568 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im
6.568 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
6.568 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im
6.568 * [taylor]: Taking taylor expansion of 1/4 in im
6.568 * [backup-simplify]: Simplify 1/4 into 1/4
6.568 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im
6.568 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.568 * [taylor]: Taking taylor expansion of im in im
6.568 * [backup-simplify]: Simplify 0 into 0
6.568 * [backup-simplify]: Simplify 1 into 1
6.569 * [backup-simplify]: Simplify (* 1 1) into 1
6.569 * [backup-simplify]: Simplify (* 1 1) into 1
6.569 * [backup-simplify]: Simplify (log 1) into 0
6.570 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.570 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im))
6.570 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4)
6.570 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4)
6.571 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.571 * [backup-simplify]: Simplify (+ 0 0) into 0
6.572 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
6.573 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow im 2)))) into 0
6.574 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.574 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (pow (pow im 2) 1/8))) into 0
6.574 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (sqrt im))) into 0
6.574 * [taylor]: Taking taylor expansion of 0 in im
6.575 * [backup-simplify]: Simplify 0 into 0
6.575 * [backup-simplify]: Simplify 0 into 0
6.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.578 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
6.580 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.580 * [backup-simplify]: Simplify 0 into 0
6.580 * [backup-simplify]: Simplify (* 1 1) into 1
6.581 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.581 * [backup-simplify]: Simplify (+ 1 0) into 1
6.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
6.584 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/8 (/ 1 (pow im 2)))
6.585 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
6.587 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (pow im 2) 1/8)))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.588 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.588 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
6.588 * [taylor]: Taking taylor expansion of 3/8 in im
6.588 * [backup-simplify]: Simplify 3/8 into 3/8
6.589 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
6.589 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
6.589 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im
6.589 * [taylor]: Taking taylor expansion of 1/4 in im
6.589 * [backup-simplify]: Simplify 1/4 into 1/4
6.589 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
6.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
6.589 * [taylor]: Taking taylor expansion of (pow im 5) in im
6.589 * [taylor]: Taking taylor expansion of im in im
6.589 * [backup-simplify]: Simplify 0 into 0
6.589 * [backup-simplify]: Simplify 1 into 1
6.589 * [backup-simplify]: Simplify (* 1 1) into 1
6.590 * [backup-simplify]: Simplify (* 1 1) into 1
6.590 * [backup-simplify]: Simplify (* 1 1) into 1
6.590 * [backup-simplify]: Simplify (/ 1 1) into 1
6.591 * [backup-simplify]: Simplify (log 1) into 0
6.591 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
6.591 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
6.592 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
6.592 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.592 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.592 * [backup-simplify]: Simplify 0 into 0
6.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.596 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.597 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
6.597 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.597 * [backup-simplify]: Simplify 0 into 0
6.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.598 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.599 * [backup-simplify]: Simplify (+ 0 0) into 0
6.601 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
6.601 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
6.603 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.603 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow (pow im 2) 1/8))))) into 0
6.604 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0
6.604 * [taylor]: Taking taylor expansion of 0 in im
6.604 * [backup-simplify]: Simplify 0 into 0
6.604 * [backup-simplify]: Simplify 0 into 0
6.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.607 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
6.607 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
6.608 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.608 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
6.608 * [backup-simplify]: Simplify 0 into 0
6.608 * [backup-simplify]: Simplify 0 into 0
6.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.612 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.613 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.614 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
6.615 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.615 * [backup-simplify]: Simplify 0 into 0
6.615 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
6.616 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3)
6.616 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
6.616 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
6.616 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
6.616 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
6.616 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.616 * [taylor]: Taking taylor expansion of 1/8 in im
6.616 * [backup-simplify]: Simplify 1/8 into 1/8
6.616 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.616 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.616 * [taylor]: Taking taylor expansion of im in im
6.616 * [backup-simplify]: Simplify 0 into 0
6.616 * [backup-simplify]: Simplify 1 into 1
6.616 * [backup-simplify]: Simplify (* 1 1) into 1
6.617 * [backup-simplify]: Simplify (/ 1 1) into 1
6.617 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.617 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.617 * [taylor]: Taking taylor expansion of re in im
6.617 * [backup-simplify]: Simplify re into re
6.617 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.617 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.617 * [backup-simplify]: Simplify (+ 1 0) into 1
6.617 * [backup-simplify]: Simplify (log 1) into 0
6.618 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
6.618 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
6.618 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
6.618 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.618 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.618 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.618 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.618 * [taylor]: Taking taylor expansion of 1/8 in re
6.618 * [backup-simplify]: Simplify 1/8 into 1/8
6.618 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.618 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.618 * [taylor]: Taking taylor expansion of im in re
6.618 * [backup-simplify]: Simplify im into im
6.618 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.618 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.618 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.618 * [taylor]: Taking taylor expansion of re in re
6.618 * [backup-simplify]: Simplify 0 into 0
6.618 * [backup-simplify]: Simplify 1 into 1
6.618 * [backup-simplify]: Simplify (* 1 1) into 1
6.619 * [backup-simplify]: Simplify (/ 1 1) into 1
6.619 * [backup-simplify]: Simplify (+ 0 1) into 1
6.619 * [backup-simplify]: Simplify (log 1) into 0
6.619 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.620 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.620 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.620 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.620 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.620 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.620 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.620 * [taylor]: Taking taylor expansion of 1/8 in re
6.620 * [backup-simplify]: Simplify 1/8 into 1/8
6.620 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.620 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.620 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.620 * [taylor]: Taking taylor expansion of im in re
6.620 * [backup-simplify]: Simplify im into im
6.620 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.620 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.620 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.620 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.620 * [taylor]: Taking taylor expansion of re in re
6.620 * [backup-simplify]: Simplify 0 into 0
6.620 * [backup-simplify]: Simplify 1 into 1
6.620 * [backup-simplify]: Simplify (* 1 1) into 1
6.621 * [backup-simplify]: Simplify (/ 1 1) into 1
6.621 * [backup-simplify]: Simplify (+ 0 1) into 1
6.621 * [backup-simplify]: Simplify (log 1) into 0
6.621 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.621 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.622 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.622 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
6.622 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
6.622 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.622 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.622 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.622 * [taylor]: Taking taylor expansion of 1/4 in im
6.622 * [backup-simplify]: Simplify 1/4 into 1/4
6.622 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.622 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.622 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.622 * [taylor]: Taking taylor expansion of re in im
6.622 * [backup-simplify]: Simplify re into re
6.622 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.622 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.622 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.622 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.622 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.623 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.623 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
6.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.624 * [backup-simplify]: Simplify (+ 0 0) into 0
6.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.625 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.625 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
6.626 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.626 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
6.626 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
6.626 * [taylor]: Taking taylor expansion of 0 in im
6.626 * [backup-simplify]: Simplify 0 into 0
6.626 * [backup-simplify]: Simplify 0 into 0
6.626 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.626 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.628 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.628 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.628 * [backup-simplify]: Simplify 0 into 0
6.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.629 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.631 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
6.631 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.631 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
6.632 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
6.633 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
6.634 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
6.634 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
6.634 * [taylor]: Taking taylor expansion of 3/8 in im
6.634 * [backup-simplify]: Simplify 3/8 into 3/8
6.634 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
6.634 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.634 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.634 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.634 * [taylor]: Taking taylor expansion of 1/4 in im
6.634 * [backup-simplify]: Simplify 1/4 into 1/4
6.634 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.634 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.634 * [taylor]: Taking taylor expansion of re in im
6.634 * [backup-simplify]: Simplify re into re
6.634 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.634 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.634 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.634 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.635 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.635 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.635 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.635 * [taylor]: Taking taylor expansion of im in im
6.635 * [backup-simplify]: Simplify 0 into 0
6.635 * [backup-simplify]: Simplify 1 into 1
6.635 * [backup-simplify]: Simplify (* 1 1) into 1
6.635 * [backup-simplify]: Simplify (/ 1 1) into 1
6.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.637 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.637 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.638 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.639 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.639 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.640 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.642 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.643 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.643 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
6.644 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
6.644 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
6.645 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
6.645 * [backup-simplify]: Simplify 0 into 0
6.645 * [backup-simplify]: Simplify 0 into 0
6.645 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.645 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.647 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.648 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.650 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.650 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.653 * [backup-simplify]: Simplify (+ 0 0) into 0
6.657 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.658 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.659 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
6.661 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.662 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
6.663 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
6.663 * [taylor]: Taking taylor expansion of 0 in im
6.663 * [backup-simplify]: Simplify 0 into 0
6.663 * [backup-simplify]: Simplify 0 into 0
6.664 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4)
6.664 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3)
6.664 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
6.664 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
6.664 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
6.664 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
6.665 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.665 * [taylor]: Taking taylor expansion of 1/8 in im
6.665 * [backup-simplify]: Simplify 1/8 into 1/8
6.665 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.665 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.665 * [taylor]: Taking taylor expansion of im in im
6.665 * [backup-simplify]: Simplify 0 into 0
6.665 * [backup-simplify]: Simplify 1 into 1
6.665 * [backup-simplify]: Simplify (* 1 1) into 1
6.666 * [backup-simplify]: Simplify (/ 1 1) into 1
6.666 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.666 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.666 * [taylor]: Taking taylor expansion of re in im
6.666 * [backup-simplify]: Simplify re into re
6.666 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.666 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.667 * [backup-simplify]: Simplify (+ 1 0) into 1
6.667 * [backup-simplify]: Simplify (log 1) into 0
6.667 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
6.668 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
6.668 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
6.668 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.668 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.668 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.668 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.668 * [taylor]: Taking taylor expansion of 1/8 in re
6.668 * [backup-simplify]: Simplify 1/8 into 1/8
6.668 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.668 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.668 * [taylor]: Taking taylor expansion of im in re
6.668 * [backup-simplify]: Simplify im into im
6.668 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.668 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.668 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.668 * [taylor]: Taking taylor expansion of re in re
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 1 into 1
6.669 * [backup-simplify]: Simplify (* 1 1) into 1
6.669 * [backup-simplify]: Simplify (/ 1 1) into 1
6.670 * [backup-simplify]: Simplify (+ 0 1) into 1
6.670 * [backup-simplify]: Simplify (log 1) into 0
6.671 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.671 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.671 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.671 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.671 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.671 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.671 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.671 * [taylor]: Taking taylor expansion of 1/8 in re
6.671 * [backup-simplify]: Simplify 1/8 into 1/8
6.671 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.671 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.671 * [taylor]: Taking taylor expansion of im in re
6.671 * [backup-simplify]: Simplify im into im
6.671 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.672 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.672 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.672 * [taylor]: Taking taylor expansion of re in re
6.672 * [backup-simplify]: Simplify 0 into 0
6.672 * [backup-simplify]: Simplify 1 into 1
6.672 * [backup-simplify]: Simplify (* 1 1) into 1
6.672 * [backup-simplify]: Simplify (/ 1 1) into 1
6.673 * [backup-simplify]: Simplify (+ 0 1) into 1
6.673 * [backup-simplify]: Simplify (log 1) into 0
6.674 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.674 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.674 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.674 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
6.675 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
6.675 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.675 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.675 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.675 * [taylor]: Taking taylor expansion of 1/4 in im
6.675 * [backup-simplify]: Simplify 1/4 into 1/4
6.675 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.675 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.675 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.675 * [taylor]: Taking taylor expansion of re in im
6.675 * [backup-simplify]: Simplify re into re
6.675 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.675 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.675 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.675 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.676 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.676 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.676 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
6.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.678 * [backup-simplify]: Simplify (+ 0 0) into 0
6.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.680 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.681 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
6.681 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.682 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
6.682 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
6.682 * [taylor]: Taking taylor expansion of 0 in im
6.682 * [backup-simplify]: Simplify 0 into 0
6.682 * [backup-simplify]: Simplify 0 into 0
6.682 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.682 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.683 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.683 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.684 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.684 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.685 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.686 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
6.687 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.687 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
6.688 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
6.689 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
6.695 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
6.695 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
6.695 * [taylor]: Taking taylor expansion of 3/8 in im
6.695 * [backup-simplify]: Simplify 3/8 into 3/8
6.695 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
6.695 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.695 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.695 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.695 * [taylor]: Taking taylor expansion of 1/4 in im
6.695 * [backup-simplify]: Simplify 1/4 into 1/4
6.695 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.695 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.695 * [taylor]: Taking taylor expansion of re in im
6.695 * [backup-simplify]: Simplify re into re
6.695 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.695 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.696 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.696 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.696 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.696 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.696 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.696 * [taylor]: Taking taylor expansion of im in im
6.696 * [backup-simplify]: Simplify 0 into 0
6.696 * [backup-simplify]: Simplify 1 into 1
6.697 * [backup-simplify]: Simplify (* 1 1) into 1
6.697 * [backup-simplify]: Simplify (/ 1 1) into 1
6.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.699 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.699 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.701 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.702 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.702 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.703 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.704 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.705 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.705 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
6.706 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
6.706 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
6.707 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
6.707 * [backup-simplify]: Simplify 0 into 0
6.707 * [backup-simplify]: Simplify 0 into 0
6.707 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.707 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.709 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.710 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.711 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.711 * [backup-simplify]: Simplify 0 into 0
6.711 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.714 * [backup-simplify]: Simplify (+ 0 0) into 0
6.718 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.718 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.719 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
6.722 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.723 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
6.724 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
6.724 * [taylor]: Taking taylor expansion of 0 in im
6.724 * [backup-simplify]: Simplify 0 into 0
6.724 * [backup-simplify]: Simplify 0 into 0
6.724 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4)
6.724 * * * [progress]: simplifying candidates
6.727 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (exp re))
  (log (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (exp (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (* (cbrt (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (cbrt (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))
  (cbrt (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (* (* (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re) (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (sqrt (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (sqrt (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (+ (pow (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (- (* re re) (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))
  (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (* re re))
  (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (* 1/2 3)
  (* 1 3)
  (* (/ 1/2 2) 3)
  (* (/ 1 2) 3)
  (* (/ (/ 1/2 2) 2) 3)
  (* (/ (/ 1 2) 2) 3)
  (* (/ (/ (/ 1 2) 2) 2) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 1)
  (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt 1))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)))
  (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt 1))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3)
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (/ 3 2)
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ 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)
6.729 * * [simplify]: Extracting # 0 : cost  0
6.729 * * [simplify]: Extracting # 1 : cost  0
6.729 * * [simplify]: Extracting # 2 : cost  0
6.730 * * [simplify]: Extracting # 3 : cost  0
6.730 * * [simplify]: Extracting # 4 : cost  0
6.730 * * [simplify]: Extracting # 5 : cost  0
6.730 * * [simplify]: Extracting # 6 : cost  0
6.730 * * [simplify]: Extracting # 7 : cost  0
6.730 * * [simplify]: Extracting # 8 : cost  0
6.731 * * [simplify]: Extracting # 9 : cost  0
6.731 * * [simplify]: iteration  0 :  151  enodes  (cost  1948 )
6.789 * * [simplify]: Extracting # 0 : cost  0
6.795 * * [simplify]: Extracting # 1 : cost  0
6.796 * * [simplify]: Extracting # 2 : cost  0
6.797 * * [simplify]: Extracting # 3 : cost  0
6.798 * * [simplify]: Extracting # 4 : cost  0
6.798 * * [simplify]: Extracting # 5 : cost  0
6.799 * * [simplify]: Extracting # 6 : cost  0
6.800 * * [simplify]: iteration  1 :  394  enodes  (cost  1600 )
6.989 * * [simplify]: Extracting # 0 : cost  0
6.991 * * [simplify]: Extracting # 1 : cost  0
6.994 * * [simplify]: Extracting # 2 : cost  0
6.996 * * [simplify]: Extracting # 3 : cost  0
6.998 * * [simplify]: Extracting # 4 : cost  0
7.000 * * [simplify]: Extracting # 5 : cost  0
7.002 * * [simplify]: Extracting # 6 : cost  0
7.004 * * [simplify]: iteration  2 :  980  enodes  (cost  1449 )
7.879 * * [simplify]: Extracting # 0 : cost  0
7.890 * * [simplify]: Extracting # 1 : cost  0
7.902 * * [simplify]: Extracting # 2 : cost  0
7.914 * * [simplify]: Extracting # 3 : cost  0
7.926 * * [simplify]: Extracting # 4 : cost  0
7.934 * * [simplify]: Extracting # 5 : cost  0
7.941 * * [simplify]: iteration done:  5000  enodes  (cost  1281 )
7.942 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (pow (+ re (sqrt (+ (* re re) (* im im)))) 3)
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3))
  (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im)))
  (- (+ (* re re) (* im im)) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  3/2
  3
  3/4
  3/2
  3/8
  3/4
  3/8
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (fabs (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (fabs (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 6) (pow re 6))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))))) 3)
  (pow (sqrt (sqrt (sqrt (- (pow re 4) (pow im 4))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  3/2
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ 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 (- (pow re 3)) 1/4)
7.943 * * * [progress]: adding candidates to table
8.383 * * [progress]: iteration 4 / 4
8.383 * * * [progress]: picking best candidate
8.418 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.418 * * * [progress]: localizing error
8.467 * * * [progress]: generating rewritten candidates
8.467 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
8.475 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1)
8.484 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
8.492 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
8.573 * * * [progress]: generating series expansions
8.574 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1)
8.574 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.574 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.574 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.574 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.574 * [taylor]: Taking taylor expansion of re in im
8.574 * [backup-simplify]: Simplify re into re
8.574 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.574 * [taylor]: Taking taylor expansion of im in im
8.574 * [backup-simplify]: Simplify 0 into 0
8.574 * [backup-simplify]: Simplify 1 into 1
8.574 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.574 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.574 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.574 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.575 * [backup-simplify]: Simplify (+ 0 0) into 0
8.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.575 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.575 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.575 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.575 * [taylor]: Taking taylor expansion of re in re
8.575 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify 1 into 1
8.575 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.575 * [taylor]: Taking taylor expansion of im in re
8.575 * [backup-simplify]: Simplify im into im
8.575 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.575 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.575 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.575 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.576 * [backup-simplify]: Simplify (+ 0 0) into 0
8.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.576 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.576 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.576 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.576 * [taylor]: Taking taylor expansion of re in re
8.576 * [backup-simplify]: Simplify 0 into 0
8.576 * [backup-simplify]: Simplify 1 into 1
8.576 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.576 * [taylor]: Taking taylor expansion of im in re
8.576 * [backup-simplify]: Simplify im into im
8.576 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.576 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.576 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.576 * [backup-simplify]: Simplify (+ 0 0) into 0
8.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.577 * [taylor]: Taking taylor expansion of im in im
8.577 * [backup-simplify]: Simplify 0 into 0
8.577 * [backup-simplify]: Simplify 1 into 1
8.577 * [backup-simplify]: Simplify 0 into 0
8.577 * [taylor]: Taking taylor expansion of 0 in im
8.577 * [backup-simplify]: Simplify 0 into 0
8.577 * [backup-simplify]: Simplify 0 into 0
8.577 * [backup-simplify]: Simplify 1 into 1
8.577 * [backup-simplify]: Simplify (* 1 1) into 1
8.577 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.578 * [backup-simplify]: Simplify (+ 1 0) into 1
8.578 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.578 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.578 * [taylor]: Taking taylor expansion of 1/2 in im
8.578 * [backup-simplify]: Simplify 1/2 into 1/2
8.578 * [taylor]: Taking taylor expansion of im in im
8.578 * [backup-simplify]: Simplify 0 into 0
8.578 * [backup-simplify]: Simplify 1 into 1
8.579 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.579 * [backup-simplify]: Simplify 0 into 0
8.579 * [backup-simplify]: Simplify 0 into 0
8.579 * [backup-simplify]: Simplify 0 into 0
8.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.580 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.581 * [backup-simplify]: Simplify (+ 0 0) into 0
8.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.581 * [taylor]: Taking taylor expansion of 0 in im
8.581 * [backup-simplify]: Simplify 0 into 0
8.581 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.587 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.587 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.587 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.587 * [taylor]: Taking taylor expansion of im in im
8.587 * [backup-simplify]: Simplify 0 into 0
8.587 * [backup-simplify]: Simplify 1 into 1
8.588 * [backup-simplify]: Simplify (* 1 1) into 1
8.588 * [backup-simplify]: Simplify (/ 1 1) into 1
8.588 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.588 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.588 * [taylor]: Taking taylor expansion of re in im
8.588 * [backup-simplify]: Simplify re into re
8.588 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.588 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.589 * [backup-simplify]: Simplify (+ 1 0) into 1
8.589 * [backup-simplify]: Simplify (sqrt 1) into 1
8.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.591 * [backup-simplify]: Simplify (+ 0 0) into 0
8.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.592 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.592 * [taylor]: Taking taylor expansion of im in re
8.592 * [backup-simplify]: Simplify im into im
8.592 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.592 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.592 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.592 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.593 * [taylor]: Taking taylor expansion of re in re
8.593 * [backup-simplify]: Simplify 0 into 0
8.593 * [backup-simplify]: Simplify 1 into 1
8.593 * [backup-simplify]: Simplify (* 1 1) into 1
8.593 * [backup-simplify]: Simplify (/ 1 1) into 1
8.594 * [backup-simplify]: Simplify (+ 0 1) into 1
8.594 * [backup-simplify]: Simplify (sqrt 1) into 1
8.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.597 * [backup-simplify]: Simplify (+ 0 0) into 0
8.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.598 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.598 * [taylor]: Taking taylor expansion of im in re
8.598 * [backup-simplify]: Simplify im into im
8.598 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.598 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.598 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.598 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.598 * [taylor]: Taking taylor expansion of re in re
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify 1 into 1
8.599 * [backup-simplify]: Simplify (* 1 1) into 1
8.599 * [backup-simplify]: Simplify (/ 1 1) into 1
8.599 * [backup-simplify]: Simplify (+ 0 1) into 1
8.600 * [backup-simplify]: Simplify (sqrt 1) into 1
8.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.601 * [backup-simplify]: Simplify (+ 0 0) into 0
8.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.601 * [taylor]: Taking taylor expansion of 1 in im
8.601 * [backup-simplify]: Simplify 1 into 1
8.601 * [taylor]: Taking taylor expansion of 0 in im
8.601 * [backup-simplify]: Simplify 0 into 0
8.601 * [backup-simplify]: Simplify 1 into 1
8.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.603 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.604 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.604 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.604 * [taylor]: Taking taylor expansion of 1/2 in im
8.604 * [backup-simplify]: Simplify 1/2 into 1/2
8.604 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.604 * [taylor]: Taking taylor expansion of im in im
8.604 * [backup-simplify]: Simplify 0 into 0
8.604 * [backup-simplify]: Simplify 1 into 1
8.604 * [backup-simplify]: Simplify (* 1 1) into 1
8.604 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.605 * [backup-simplify]: Simplify 0 into 0
8.605 * [backup-simplify]: Simplify 0 into 0
8.605 * [backup-simplify]: Simplify 0 into 0
8.605 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.607 * [backup-simplify]: Simplify (+ 0 0) into 0
8.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.608 * [taylor]: Taking taylor expansion of 0 in im
8.608 * [backup-simplify]: Simplify 0 into 0
8.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.609 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.609 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.609 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.609 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.609 * [taylor]: Taking taylor expansion of im in im
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify 1 into 1
8.610 * [backup-simplify]: Simplify (* 1 1) into 1
8.610 * [backup-simplify]: Simplify (/ 1 1) into 1
8.610 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.610 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.610 * [taylor]: Taking taylor expansion of re in im
8.610 * [backup-simplify]: Simplify re into re
8.610 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.610 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.610 * [backup-simplify]: Simplify (+ 1 0) into 1
8.611 * [backup-simplify]: Simplify (sqrt 1) into 1
8.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.612 * [backup-simplify]: Simplify (+ 0 0) into 0
8.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.612 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.612 * [taylor]: Taking taylor expansion of im in re
8.612 * [backup-simplify]: Simplify im into im
8.612 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.612 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.612 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.612 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.612 * [taylor]: Taking taylor expansion of re in re
8.612 * [backup-simplify]: Simplify 0 into 0
8.612 * [backup-simplify]: Simplify 1 into 1
8.613 * [backup-simplify]: Simplify (* 1 1) into 1
8.613 * [backup-simplify]: Simplify (/ 1 1) into 1
8.613 * [backup-simplify]: Simplify (+ 0 1) into 1
8.613 * [backup-simplify]: Simplify (sqrt 1) into 1
8.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.615 * [backup-simplify]: Simplify (+ 0 0) into 0
8.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.615 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.615 * [taylor]: Taking taylor expansion of im in re
8.615 * [backup-simplify]: Simplify im into im
8.615 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.615 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.615 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.615 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.615 * [taylor]: Taking taylor expansion of re in re
8.615 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify 1 into 1
8.616 * [backup-simplify]: Simplify (* 1 1) into 1
8.616 * [backup-simplify]: Simplify (/ 1 1) into 1
8.616 * [backup-simplify]: Simplify (+ 0 1) into 1
8.616 * [backup-simplify]: Simplify (sqrt 1) into 1
8.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.617 * [backup-simplify]: Simplify (+ 0 0) into 0
8.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.618 * [taylor]: Taking taylor expansion of 1 in im
8.618 * [backup-simplify]: Simplify 1 into 1
8.618 * [taylor]: Taking taylor expansion of 0 in im
8.618 * [backup-simplify]: Simplify 0 into 0
8.618 * [backup-simplify]: Simplify 1 into 1
8.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.620 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.620 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.621 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.621 * [taylor]: Taking taylor expansion of 1/2 in im
8.621 * [backup-simplify]: Simplify 1/2 into 1/2
8.621 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.621 * [taylor]: Taking taylor expansion of im in im
8.621 * [backup-simplify]: Simplify 0 into 0
8.621 * [backup-simplify]: Simplify 1 into 1
8.621 * [backup-simplify]: Simplify (* 1 1) into 1
8.621 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.622 * [backup-simplify]: Simplify 0 into 0
8.622 * [backup-simplify]: Simplify 0 into 0
8.622 * [backup-simplify]: Simplify 0 into 0
8.622 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.624 * [backup-simplify]: Simplify (+ 0 0) into 0
8.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.624 * [taylor]: Taking taylor expansion of 0 in im
8.624 * [backup-simplify]: Simplify 0 into 0
8.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.626 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1)
8.626 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.626 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.626 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.626 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.626 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.626 * [taylor]: Taking taylor expansion of re in im
8.626 * [backup-simplify]: Simplify re into re
8.626 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.626 * [taylor]: Taking taylor expansion of im in im
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify 1 into 1
8.626 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.626 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.627 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.627 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.627 * [backup-simplify]: Simplify (+ 0 0) into 0
8.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.627 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.627 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.627 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.627 * [taylor]: Taking taylor expansion of re in re
8.627 * [backup-simplify]: Simplify 0 into 0
8.627 * [backup-simplify]: Simplify 1 into 1
8.628 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.628 * [taylor]: Taking taylor expansion of im in re
8.628 * [backup-simplify]: Simplify im into im
8.628 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.628 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.628 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.628 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.628 * [backup-simplify]: Simplify (+ 0 0) into 0
8.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.629 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.629 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.629 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.629 * [taylor]: Taking taylor expansion of re in re
8.629 * [backup-simplify]: Simplify 0 into 0
8.629 * [backup-simplify]: Simplify 1 into 1
8.629 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.629 * [taylor]: Taking taylor expansion of im in re
8.629 * [backup-simplify]: Simplify im into im
8.629 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.629 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.629 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.629 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.630 * [backup-simplify]: Simplify (+ 0 0) into 0
8.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.630 * [taylor]: Taking taylor expansion of im in im
8.630 * [backup-simplify]: Simplify 0 into 0
8.630 * [backup-simplify]: Simplify 1 into 1
8.630 * [backup-simplify]: Simplify 0 into 0
8.630 * [taylor]: Taking taylor expansion of 0 in im
8.630 * [backup-simplify]: Simplify 0 into 0
8.630 * [backup-simplify]: Simplify 0 into 0
8.630 * [backup-simplify]: Simplify 1 into 1
8.631 * [backup-simplify]: Simplify (* 1 1) into 1
8.631 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.632 * [backup-simplify]: Simplify (+ 1 0) into 1
8.633 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.633 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.633 * [taylor]: Taking taylor expansion of 1/2 in im
8.633 * [backup-simplify]: Simplify 1/2 into 1/2
8.633 * [taylor]: Taking taylor expansion of im in im
8.633 * [backup-simplify]: Simplify 0 into 0
8.633 * [backup-simplify]: Simplify 1 into 1
8.633 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.634 * [backup-simplify]: Simplify 0 into 0
8.634 * [backup-simplify]: Simplify 0 into 0
8.634 * [backup-simplify]: Simplify 0 into 0
8.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.636 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.636 * [backup-simplify]: Simplify (+ 0 0) into 0
8.636 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.636 * [taylor]: Taking taylor expansion of 0 in im
8.637 * [backup-simplify]: Simplify 0 into 0
8.637 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.638 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.638 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.638 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.638 * [taylor]: Taking taylor expansion of im in im
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify 1 into 1
8.639 * [backup-simplify]: Simplify (* 1 1) into 1
8.639 * [backup-simplify]: Simplify (/ 1 1) into 1
8.639 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.639 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.639 * [taylor]: Taking taylor expansion of re in im
8.639 * [backup-simplify]: Simplify re into re
8.639 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.640 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.640 * [backup-simplify]: Simplify (+ 1 0) into 1
8.641 * [backup-simplify]: Simplify (sqrt 1) into 1
8.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.642 * [backup-simplify]: Simplify (+ 0 0) into 0
8.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.643 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.643 * [taylor]: Taking taylor expansion of im in re
8.643 * [backup-simplify]: Simplify im into im
8.643 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.644 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.644 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.644 * [taylor]: Taking taylor expansion of re in re
8.644 * [backup-simplify]: Simplify 0 into 0
8.644 * [backup-simplify]: Simplify 1 into 1
8.644 * [backup-simplify]: Simplify (* 1 1) into 1
8.645 * [backup-simplify]: Simplify (/ 1 1) into 1
8.645 * [backup-simplify]: Simplify (+ 0 1) into 1
8.646 * [backup-simplify]: Simplify (sqrt 1) into 1
8.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.648 * [backup-simplify]: Simplify (+ 0 0) into 0
8.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.649 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.649 * [taylor]: Taking taylor expansion of im in re
8.649 * [backup-simplify]: Simplify im into im
8.649 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.649 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.649 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.649 * [taylor]: Taking taylor expansion of re in re
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 1 into 1
8.650 * [backup-simplify]: Simplify (* 1 1) into 1
8.650 * [backup-simplify]: Simplify (/ 1 1) into 1
8.650 * [backup-simplify]: Simplify (+ 0 1) into 1
8.651 * [backup-simplify]: Simplify (sqrt 1) into 1
8.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.653 * [backup-simplify]: Simplify (+ 0 0) into 0
8.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.654 * [taylor]: Taking taylor expansion of 1 in im
8.654 * [backup-simplify]: Simplify 1 into 1
8.654 * [taylor]: Taking taylor expansion of 0 in im
8.654 * [backup-simplify]: Simplify 0 into 0
8.654 * [backup-simplify]: Simplify 1 into 1
8.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.656 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.657 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.657 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.657 * [taylor]: Taking taylor expansion of 1/2 in im
8.657 * [backup-simplify]: Simplify 1/2 into 1/2
8.658 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.658 * [taylor]: Taking taylor expansion of im in im
8.658 * [backup-simplify]: Simplify 0 into 0
8.658 * [backup-simplify]: Simplify 1 into 1
8.658 * [backup-simplify]: Simplify (* 1 1) into 1
8.658 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.660 * [backup-simplify]: Simplify 0 into 0
8.660 * [backup-simplify]: Simplify 0 into 0
8.660 * [backup-simplify]: Simplify 0 into 0
8.660 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.663 * [backup-simplify]: Simplify (+ 0 0) into 0
8.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.664 * [taylor]: Taking taylor expansion of 0 in im
8.664 * [backup-simplify]: Simplify 0 into 0
8.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.666 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.667 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.667 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.667 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.667 * [taylor]: Taking taylor expansion of im in im
8.667 * [backup-simplify]: Simplify 0 into 0
8.667 * [backup-simplify]: Simplify 1 into 1
8.668 * [backup-simplify]: Simplify (* 1 1) into 1
8.668 * [backup-simplify]: Simplify (/ 1 1) into 1
8.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.668 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.668 * [taylor]: Taking taylor expansion of re in im
8.669 * [backup-simplify]: Simplify re into re
8.669 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.669 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.669 * [backup-simplify]: Simplify (+ 1 0) into 1
8.670 * [backup-simplify]: Simplify (sqrt 1) into 1
8.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.672 * [backup-simplify]: Simplify (+ 0 0) into 0
8.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.672 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.672 * [taylor]: Taking taylor expansion of im in re
8.673 * [backup-simplify]: Simplify im into im
8.673 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.673 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.673 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.673 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.673 * [taylor]: Taking taylor expansion of re in re
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 1 into 1
8.673 * [backup-simplify]: Simplify (* 1 1) into 1
8.674 * [backup-simplify]: Simplify (/ 1 1) into 1
8.674 * [backup-simplify]: Simplify (+ 0 1) into 1
8.675 * [backup-simplify]: Simplify (sqrt 1) into 1
8.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.676 * [backup-simplify]: Simplify (+ 0 0) into 0
8.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.677 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.677 * [taylor]: Taking taylor expansion of im in re
8.677 * [backup-simplify]: Simplify im into im
8.678 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.678 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.678 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.678 * [taylor]: Taking taylor expansion of re in re
8.678 * [backup-simplify]: Simplify 0 into 0
8.678 * [backup-simplify]: Simplify 1 into 1
8.678 * [backup-simplify]: Simplify (* 1 1) into 1
8.679 * [backup-simplify]: Simplify (/ 1 1) into 1
8.679 * [backup-simplify]: Simplify (+ 0 1) into 1
8.680 * [backup-simplify]: Simplify (sqrt 1) into 1
8.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.681 * [backup-simplify]: Simplify (+ 0 0) into 0
8.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.682 * [taylor]: Taking taylor expansion of 1 in im
8.683 * [backup-simplify]: Simplify 1 into 1
8.683 * [taylor]: Taking taylor expansion of 0 in im
8.683 * [backup-simplify]: Simplify 0 into 0
8.683 * [backup-simplify]: Simplify 1 into 1
8.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.685 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.687 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.687 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.687 * [taylor]: Taking taylor expansion of 1/2 in im
8.687 * [backup-simplify]: Simplify 1/2 into 1/2
8.687 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.687 * [taylor]: Taking taylor expansion of im in im
8.687 * [backup-simplify]: Simplify 0 into 0
8.687 * [backup-simplify]: Simplify 1 into 1
8.687 * [backup-simplify]: Simplify (* 1 1) into 1
8.688 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.690 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.693 * [backup-simplify]: Simplify (+ 0 0) into 0
8.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.694 * [taylor]: Taking taylor expansion of 0 in im
8.694 * [backup-simplify]: Simplify 0 into 0
8.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.696 * [backup-simplify]: Simplify 0 into 0
8.696 * [backup-simplify]: Simplify 0 into 0
8.696 * [backup-simplify]: Simplify 0 into 0
8.696 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.696 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1)
8.697 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.697 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.697 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.697 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.697 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.697 * [taylor]: Taking taylor expansion of re in im
8.697 * [backup-simplify]: Simplify re into re
8.697 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.697 * [taylor]: Taking taylor expansion of im in im
8.697 * [backup-simplify]: Simplify 0 into 0
8.697 * [backup-simplify]: Simplify 1 into 1
8.697 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.697 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.697 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.698 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.698 * [backup-simplify]: Simplify (+ 0 0) into 0
8.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.698 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.698 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.698 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.698 * [taylor]: Taking taylor expansion of re in re
8.698 * [backup-simplify]: Simplify 0 into 0
8.698 * [backup-simplify]: Simplify 1 into 1
8.699 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.699 * [taylor]: Taking taylor expansion of im in re
8.699 * [backup-simplify]: Simplify im into im
8.699 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.699 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.699 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.699 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.700 * [backup-simplify]: Simplify (+ 0 0) into 0
8.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.700 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.700 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.700 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.700 * [taylor]: Taking taylor expansion of re in re
8.700 * [backup-simplify]: Simplify 0 into 0
8.700 * [backup-simplify]: Simplify 1 into 1
8.700 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.700 * [taylor]: Taking taylor expansion of im in re
8.700 * [backup-simplify]: Simplify im into im
8.700 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.700 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.700 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.700 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.701 * [backup-simplify]: Simplify (+ 0 0) into 0
8.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.701 * [taylor]: Taking taylor expansion of im in im
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [backup-simplify]: Simplify 1 into 1
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [taylor]: Taking taylor expansion of 0 in im
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [backup-simplify]: Simplify 1 into 1
8.702 * [backup-simplify]: Simplify (* 1 1) into 1
8.702 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.703 * [backup-simplify]: Simplify (+ 1 0) into 1
8.704 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.704 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.704 * [taylor]: Taking taylor expansion of 1/2 in im
8.704 * [backup-simplify]: Simplify 1/2 into 1/2
8.704 * [taylor]: Taking taylor expansion of im in im
8.704 * [backup-simplify]: Simplify 0 into 0
8.704 * [backup-simplify]: Simplify 1 into 1
8.704 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.705 * [backup-simplify]: Simplify 0 into 0
8.705 * [backup-simplify]: Simplify 0 into 0
8.706 * [backup-simplify]: Simplify 0 into 0
8.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.707 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.707 * [backup-simplify]: Simplify (+ 0 0) into 0
8.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.708 * [taylor]: Taking taylor expansion of 0 in im
8.708 * [backup-simplify]: Simplify 0 into 0
8.708 * [backup-simplify]: Simplify 0 into 0
8.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.709 * [backup-simplify]: Simplify 0 into 0
8.709 * [backup-simplify]: Simplify 0 into 0
8.709 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.709 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.709 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.710 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.710 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.710 * [taylor]: Taking taylor expansion of im in im
8.710 * [backup-simplify]: Simplify 0 into 0
8.710 * [backup-simplify]: Simplify 1 into 1
8.710 * [backup-simplify]: Simplify (* 1 1) into 1
8.710 * [backup-simplify]: Simplify (/ 1 1) into 1
8.710 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.711 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.711 * [taylor]: Taking taylor expansion of re in im
8.711 * [backup-simplify]: Simplify re into re
8.711 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.711 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.711 * [backup-simplify]: Simplify (+ 1 0) into 1
8.712 * [backup-simplify]: Simplify (sqrt 1) into 1
8.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.714 * [backup-simplify]: Simplify (+ 0 0) into 0
8.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.715 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.715 * [taylor]: Taking taylor expansion of im in re
8.715 * [backup-simplify]: Simplify im into im
8.715 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.715 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.715 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.715 * [taylor]: Taking taylor expansion of re in re
8.715 * [backup-simplify]: Simplify 0 into 0
8.715 * [backup-simplify]: Simplify 1 into 1
8.715 * [backup-simplify]: Simplify (* 1 1) into 1
8.716 * [backup-simplify]: Simplify (/ 1 1) into 1
8.716 * [backup-simplify]: Simplify (+ 0 1) into 1
8.717 * [backup-simplify]: Simplify (sqrt 1) into 1
8.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.719 * [backup-simplify]: Simplify (+ 0 0) into 0
8.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.720 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.720 * [taylor]: Taking taylor expansion of im in re
8.720 * [backup-simplify]: Simplify im into im
8.720 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.720 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.720 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.720 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.720 * [taylor]: Taking taylor expansion of re in re
8.720 * [backup-simplify]: Simplify 0 into 0
8.720 * [backup-simplify]: Simplify 1 into 1
8.721 * [backup-simplify]: Simplify (* 1 1) into 1
8.721 * [backup-simplify]: Simplify (/ 1 1) into 1
8.722 * [backup-simplify]: Simplify (+ 0 1) into 1
8.722 * [backup-simplify]: Simplify (sqrt 1) into 1
8.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.724 * [backup-simplify]: Simplify (+ 0 0) into 0
8.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.725 * [taylor]: Taking taylor expansion of 1 in im
8.725 * [backup-simplify]: Simplify 1 into 1
8.725 * [taylor]: Taking taylor expansion of 0 in im
8.725 * [backup-simplify]: Simplify 0 into 0
8.725 * [backup-simplify]: Simplify 1 into 1
8.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.727 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.728 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.729 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.729 * [taylor]: Taking taylor expansion of 1/2 in im
8.729 * [backup-simplify]: Simplify 1/2 into 1/2
8.729 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.729 * [taylor]: Taking taylor expansion of im in im
8.729 * [backup-simplify]: Simplify 0 into 0
8.729 * [backup-simplify]: Simplify 1 into 1
8.729 * [backup-simplify]: Simplify (* 1 1) into 1
8.730 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.742 * [backup-simplify]: Simplify (+ 0 0) into 0
8.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.744 * [taylor]: Taking taylor expansion of 0 in im
8.744 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.746 * [backup-simplify]: Simplify 0 into 0
8.746 * [backup-simplify]: Simplify 0 into 0
8.746 * [backup-simplify]: Simplify 0 into 0
8.746 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.747 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.747 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.747 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.747 * [taylor]: Taking taylor expansion of im in im
8.747 * [backup-simplify]: Simplify 0 into 0
8.747 * [backup-simplify]: Simplify 1 into 1
8.747 * [backup-simplify]: Simplify (* 1 1) into 1
8.748 * [backup-simplify]: Simplify (/ 1 1) into 1
8.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.748 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.748 * [taylor]: Taking taylor expansion of re in im
8.748 * [backup-simplify]: Simplify re into re
8.748 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.748 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.749 * [backup-simplify]: Simplify (+ 1 0) into 1
8.749 * [backup-simplify]: Simplify (sqrt 1) into 1
8.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.751 * [backup-simplify]: Simplify (+ 0 0) into 0
8.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.751 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.751 * [taylor]: Taking taylor expansion of im in re
8.751 * [backup-simplify]: Simplify im into im
8.751 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.751 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.751 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.751 * [taylor]: Taking taylor expansion of re in re
8.751 * [backup-simplify]: Simplify 0 into 0
8.751 * [backup-simplify]: Simplify 1 into 1
8.752 * [backup-simplify]: Simplify (* 1 1) into 1
8.752 * [backup-simplify]: Simplify (/ 1 1) into 1
8.752 * [backup-simplify]: Simplify (+ 0 1) into 1
8.752 * [backup-simplify]: Simplify (sqrt 1) into 1
8.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.754 * [backup-simplify]: Simplify (+ 0 0) into 0
8.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.754 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.754 * [taylor]: Taking taylor expansion of im in re
8.754 * [backup-simplify]: Simplify im into im
8.754 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.754 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.754 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.754 * [taylor]: Taking taylor expansion of re in re
8.754 * [backup-simplify]: Simplify 0 into 0
8.754 * [backup-simplify]: Simplify 1 into 1
8.755 * [backup-simplify]: Simplify (* 1 1) into 1
8.755 * [backup-simplify]: Simplify (/ 1 1) into 1
8.755 * [backup-simplify]: Simplify (+ 0 1) into 1
8.755 * [backup-simplify]: Simplify (sqrt 1) into 1
8.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.756 * [backup-simplify]: Simplify (+ 0 0) into 0
8.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.757 * [taylor]: Taking taylor expansion of 1 in im
8.757 * [backup-simplify]: Simplify 1 into 1
8.757 * [taylor]: Taking taylor expansion of 0 in im
8.757 * [backup-simplify]: Simplify 0 into 0
8.757 * [backup-simplify]: Simplify 1 into 1
8.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.758 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.759 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.759 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.759 * [taylor]: Taking taylor expansion of 1/2 in im
8.759 * [backup-simplify]: Simplify 1/2 into 1/2
8.759 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.759 * [taylor]: Taking taylor expansion of im in im
8.759 * [backup-simplify]: Simplify 0 into 0
8.759 * [backup-simplify]: Simplify 1 into 1
8.760 * [backup-simplify]: Simplify (* 1 1) into 1
8.760 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.761 * [backup-simplify]: Simplify 0 into 0
8.761 * [backup-simplify]: Simplify 0 into 0
8.761 * [backup-simplify]: Simplify 0 into 0
8.761 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.763 * [backup-simplify]: Simplify (+ 0 0) into 0
8.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.763 * [taylor]: Taking taylor expansion of 0 in im
8.763 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.764 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify 0 into 0
8.765 * [backup-simplify]: Simplify 0 into 0
8.765 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.765 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
8.765 * [backup-simplify]: Simplify (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re) into (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)))
8.765 * [approximate]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in (re im) around 0
8.765 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in im
8.765 * [taylor]: Taking taylor expansion of re in im
8.765 * [backup-simplify]: Simplify re into re
8.765 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in im
8.765 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im
8.767 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
8.767 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im
8.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im
8.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im
8.767 * [taylor]: Taking taylor expansion of 1/3 in im
8.767 * [backup-simplify]: Simplify 1/3 into 1/3
8.767 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
8.767 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.767 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.767 * [taylor]: Taking taylor expansion of re in im
8.767 * [backup-simplify]: Simplify re into re
8.767 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.767 * [taylor]: Taking taylor expansion of im in im
8.767 * [backup-simplify]: Simplify 0 into 0
8.767 * [backup-simplify]: Simplify 1 into 1
8.767 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.767 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.768 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
8.768 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
8.768 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
8.768 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in re
8.768 * [taylor]: Taking taylor expansion of re in re
8.768 * [backup-simplify]: Simplify 0 into 0
8.768 * [backup-simplify]: Simplify 1 into 1
8.768 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in re
8.768 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in re
8.768 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
8.768 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re
8.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re
8.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re
8.768 * [taylor]: Taking taylor expansion of 1/3 in re
8.768 * [backup-simplify]: Simplify 1/3 into 1/3
8.768 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
8.768 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.768 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.768 * [taylor]: Taking taylor expansion of re in re
8.768 * [backup-simplify]: Simplify 0 into 0
8.768 * [backup-simplify]: Simplify 1 into 1
8.768 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.768 * [taylor]: Taking taylor expansion of im in re
8.768 * [backup-simplify]: Simplify im into im
8.768 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.769 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.769 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
8.769 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
8.769 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
8.769 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in re
8.769 * [taylor]: Taking taylor expansion of re in re
8.769 * [backup-simplify]: Simplify 0 into 0
8.769 * [backup-simplify]: Simplify 1 into 1
8.769 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in re
8.769 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in re
8.769 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
8.769 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re
8.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re
8.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re
8.769 * [taylor]: Taking taylor expansion of 1/3 in re
8.769 * [backup-simplify]: Simplify 1/3 into 1/3
8.769 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
8.769 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.769 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.769 * [taylor]: Taking taylor expansion of re in re
8.769 * [backup-simplify]: Simplify 0 into 0
8.769 * [backup-simplify]: Simplify 1 into 1
8.769 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.769 * [taylor]: Taking taylor expansion of im in re
8.769 * [backup-simplify]: Simplify im into im
8.770 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.770 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.770 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
8.770 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
8.770 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
8.770 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
8.771 * [backup-simplify]: Simplify (+ 0 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
8.771 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) in im
8.771 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im
8.771 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
8.771 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im
8.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
8.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
8.771 * [taylor]: Taking taylor expansion of 1/3 in im
8.771 * [backup-simplify]: Simplify 1/3 into 1/3
8.771 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
8.771 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.771 * [taylor]: Taking taylor expansion of im in im
8.771 * [backup-simplify]: Simplify 0 into 0
8.771 * [backup-simplify]: Simplify 1 into 1
8.771 * [backup-simplify]: Simplify (* 1 1) into 1
8.772 * [backup-simplify]: Simplify (log 1) into 0
8.772 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
8.772 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
8.772 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
8.772 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow im 2/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
8.773 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
8.773 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.773 * [backup-simplify]: Simplify (+ 0 0) into 0
8.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
8.774 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0
8.775 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.775 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 0) (* 0 (pow (pow im 2) 1/3))) into 0
8.775 * [backup-simplify]: Simplify (+ 1 0) into 1
8.775 * [taylor]: Taking taylor expansion of 1 in im
8.775 * [backup-simplify]: Simplify 1 into 1
8.775 * [backup-simplify]: Simplify 1 into 1
8.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.777 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
8.777 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
8.778 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.778 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 0) (* 0 (pow im 2/3))) into 0
8.778 * [backup-simplify]: Simplify 0 into 0
8.779 * [backup-simplify]: Simplify (* 1 1) into 1
8.779 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.779 * [backup-simplify]: Simplify (+ 1 0) into 1
8.780 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
8.781 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2)))
8.781 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
8.782 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (* 1/3 (pow (/ 1 (pow im 4)) 1/3))) (+ (* 0 0) (* 0 (pow (pow im 2) 1/3)))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
8.783 * [backup-simplify]: Simplify (+ 0 (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
8.783 * [taylor]: Taking taylor expansion of (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) in im
8.783 * [taylor]: Taking taylor expansion of 1/3 in im
8.783 * [backup-simplify]: Simplify 1/3 into 1/3
8.783 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)) in im
8.783 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im
8.784 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
8.784 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
8.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
8.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
8.784 * [taylor]: Taking taylor expansion of 1/3 in im
8.784 * [backup-simplify]: Simplify 1/3 into 1/3
8.784 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im
8.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
8.784 * [taylor]: Taking taylor expansion of (pow im 4) in im
8.784 * [taylor]: Taking taylor expansion of im in im
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify 1 into 1
8.785 * [backup-simplify]: Simplify (* 1 1) into 1
8.785 * [backup-simplify]: Simplify (* 1 1) into 1
8.785 * [backup-simplify]: Simplify (/ 1 1) into 1
8.786 * [backup-simplify]: Simplify (log 1) into 0
8.786 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
8.786 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
8.786 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
8.787 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow im -4/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))
8.788 * [backup-simplify]: Simplify (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
8.788 * [backup-simplify]: Simplify (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
8.790 * [backup-simplify]: Simplify (+ (* (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) (pow (* 1 re) 2)) (+ (* 1 (* 1 re)) (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)))) into (+ re (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) (* 1/3 (* (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow re 2)) (pow (/ 1 (pow im 4)) 1/3)))))
8.791 * [backup-simplify]: Simplify (+ (* (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (fabs (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (sqrt (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)))
8.791 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in (re im) around 0
8.792 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in im
8.792 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.792 * [taylor]: Taking taylor expansion of re in im
8.792 * [backup-simplify]: Simplify re into re
8.792 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.792 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in im
8.792 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
8.792 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.792 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im
8.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
8.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.792 * [taylor]: Taking taylor expansion of 1/3 in im
8.792 * [backup-simplify]: Simplify 1/3 into 1/3
8.792 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.792 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.793 * [taylor]: Taking taylor expansion of im in im
8.793 * [backup-simplify]: Simplify 0 into 0
8.793 * [backup-simplify]: Simplify 1 into 1
8.793 * [backup-simplify]: Simplify (* 1 1) into 1
8.794 * [backup-simplify]: Simplify (/ 1 1) into 1
8.794 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.794 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.794 * [taylor]: Taking taylor expansion of re in im
8.794 * [backup-simplify]: Simplify re into re
8.794 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.794 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.795 * [backup-simplify]: Simplify (+ 1 0) into 1
8.795 * [backup-simplify]: Simplify (log 1) into 0
8.796 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
8.796 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
8.796 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
8.796 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in re
8.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.796 * [taylor]: Taking taylor expansion of re in re
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify 1 into 1
8.797 * [backup-simplify]: Simplify (/ 1 1) into 1
8.797 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
8.797 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
8.797 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.797 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
8.797 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
8.797 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.797 * [taylor]: Taking taylor expansion of 1/3 in re
8.797 * [backup-simplify]: Simplify 1/3 into 1/3
8.797 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.797 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.798 * [taylor]: Taking taylor expansion of im in re
8.798 * [backup-simplify]: Simplify im into im
8.798 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.798 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.798 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.798 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.798 * [taylor]: Taking taylor expansion of re in re
8.798 * [backup-simplify]: Simplify 0 into 0
8.798 * [backup-simplify]: Simplify 1 into 1
8.798 * [backup-simplify]: Simplify (* 1 1) into 1
8.799 * [backup-simplify]: Simplify (/ 1 1) into 1
8.799 * [backup-simplify]: Simplify (+ 0 1) into 1
8.800 * [backup-simplify]: Simplify (log 1) into 0
8.800 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.800 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
8.800 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.800 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in re
8.800 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.801 * [taylor]: Taking taylor expansion of re in re
8.801 * [backup-simplify]: Simplify 0 into 0
8.801 * [backup-simplify]: Simplify 1 into 1
8.801 * [backup-simplify]: Simplify (/ 1 1) into 1
8.801 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
8.801 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
8.802 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.802 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
8.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
8.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.802 * [taylor]: Taking taylor expansion of 1/3 in re
8.802 * [backup-simplify]: Simplify 1/3 into 1/3
8.802 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.802 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.802 * [taylor]: Taking taylor expansion of im in re
8.802 * [backup-simplify]: Simplify im into im
8.802 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.802 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.802 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.802 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.802 * [taylor]: Taking taylor expansion of re in re
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [backup-simplify]: Simplify 1 into 1
8.803 * [backup-simplify]: Simplify (* 1 1) into 1
8.803 * [backup-simplify]: Simplify (/ 1 1) into 1
8.804 * [backup-simplify]: Simplify (+ 0 1) into 1
8.804 * [backup-simplify]: Simplify (log 1) into 0
8.805 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.805 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
8.805 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.805 * [backup-simplify]: Simplify (+ 1 0) into 1
8.805 * [taylor]: Taking taylor expansion of 1 in im
8.805 * [backup-simplify]: Simplify 1 into 1
8.805 * [backup-simplify]: Simplify 1 into 1
8.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.807 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow re -2/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.808 * [backup-simplify]: Simplify (+ 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.808 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) in im
8.808 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
8.808 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.808 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
8.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
8.808 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
8.808 * [taylor]: Taking taylor expansion of 1/3 in im
8.808 * [backup-simplify]: Simplify 1/3 into 1/3
8.808 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
8.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.808 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.808 * [taylor]: Taking taylor expansion of re in im
8.808 * [backup-simplify]: Simplify re into re
8.808 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.809 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.809 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
8.809 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
8.809 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
8.810 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.810 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.810 * [backup-simplify]: Simplify 0 into 0
8.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.812 * [backup-simplify]: Simplify (+ 0 0) into 0
8.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.813 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.814 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
8.814 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.815 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow re -2/3))) into 0
8.815 * [backup-simplify]: Simplify (+ 0 0) into 0
8.816 * [taylor]: Taking taylor expansion of 0 in im
8.816 * [backup-simplify]: Simplify 0 into 0
8.816 * [backup-simplify]: Simplify 0 into 0
8.816 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
8.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
8.818 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
8.819 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.820 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
8.820 * [backup-simplify]: Simplify 0 into 0
8.820 * [backup-simplify]: Simplify 0 into 0
8.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.823 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.825 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
8.825 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.826 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
8.827 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
8.829 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* 0 (pow re -2/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
8.830 * [backup-simplify]: Simplify (+ 0 (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
8.830 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) in im
8.830 * [taylor]: Taking taylor expansion of 1/3 in im
8.830 * [backup-simplify]: Simplify 1/3 into 1/3
8.830 * [taylor]: Taking taylor expansion of (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)) in im
8.830 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) in im
8.830 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
8.830 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.831 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.831 * [taylor]: Taking taylor expansion of im in im
8.831 * [backup-simplify]: Simplify 0 into 0
8.831 * [backup-simplify]: Simplify 1 into 1
8.831 * [backup-simplify]: Simplify (* 1 1) into 1
8.832 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.832 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
8.832 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
8.832 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
8.832 * [taylor]: Taking taylor expansion of 1/3 in im
8.832 * [backup-simplify]: Simplify 1/3 into 1/3
8.832 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
8.832 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.832 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.832 * [taylor]: Taking taylor expansion of re in im
8.832 * [backup-simplify]: Simplify re into re
8.832 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.832 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.832 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
8.832 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
8.833 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
8.833 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
8.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
8.835 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
8.835 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
8.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
8.838 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
8.839 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)))) into 0
8.841 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.844 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
8.844 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
8.844 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.845 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))))) into 0
8.845 * [backup-simplify]: Simplify 0 into 0
8.845 * [backup-simplify]: Simplify 0 into 0
8.846 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow (/ 1 im) 2)) (/ 1 (pow (/ 1 re) 2))) 1/6)) (pow (/ 1 (pow (/ 1 re) 2)) 1/3)) (* 1 (* 1 (/ 1 (/ 1 re))))) into (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
8.847 * [backup-simplify]: Simplify (+ (* (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (fabs (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (sqrt (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re))
8.847 * [approximate]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in (re im) around 0
8.847 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in im
8.847 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in im
8.847 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
8.847 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.847 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im
8.847 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
8.847 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.847 * [taylor]: Taking taylor expansion of 1/3 in im
8.847 * [backup-simplify]: Simplify 1/3 into 1/3
8.847 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.847 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.847 * [taylor]: Taking taylor expansion of im in im
8.847 * [backup-simplify]: Simplify 0 into 0
8.847 * [backup-simplify]: Simplify 1 into 1
8.848 * [backup-simplify]: Simplify (* 1 1) into 1
8.848 * [backup-simplify]: Simplify (/ 1 1) into 1
8.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.848 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.848 * [taylor]: Taking taylor expansion of re in im
8.848 * [backup-simplify]: Simplify re into re
8.848 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.848 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.849 * [backup-simplify]: Simplify (+ 1 0) into 1
8.849 * [backup-simplify]: Simplify (log 1) into 0
8.849 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
8.849 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
8.849 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
8.849 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.849 * [taylor]: Taking taylor expansion of re in im
8.849 * [backup-simplify]: Simplify re into re
8.849 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.849 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in re
8.849 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
8.849 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
8.850 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.850 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
8.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
8.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.850 * [taylor]: Taking taylor expansion of 1/3 in re
8.850 * [backup-simplify]: Simplify 1/3 into 1/3
8.850 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.850 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.850 * [taylor]: Taking taylor expansion of im in re
8.850 * [backup-simplify]: Simplify im into im
8.850 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.850 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.850 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.850 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.850 * [taylor]: Taking taylor expansion of re in re
8.850 * [backup-simplify]: Simplify 0 into 0
8.850 * [backup-simplify]: Simplify 1 into 1
8.850 * [backup-simplify]: Simplify (* 1 1) into 1
8.851 * [backup-simplify]: Simplify (/ 1 1) into 1
8.851 * [backup-simplify]: Simplify (+ 0 1) into 1
8.851 * [backup-simplify]: Simplify (log 1) into 0
8.852 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.852 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
8.852 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.852 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.852 * [taylor]: Taking taylor expansion of re in re
8.852 * [backup-simplify]: Simplify 0 into 0
8.852 * [backup-simplify]: Simplify 1 into 1
8.852 * [backup-simplify]: Simplify (/ 1 1) into 1
8.852 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in re
8.852 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
8.852 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
8.852 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.852 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
8.852 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
8.852 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.852 * [taylor]: Taking taylor expansion of 1/3 in re
8.852 * [backup-simplify]: Simplify 1/3 into 1/3
8.852 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.853 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.853 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.853 * [taylor]: Taking taylor expansion of im in re
8.853 * [backup-simplify]: Simplify im into im
8.853 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.853 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.853 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.853 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.853 * [taylor]: Taking taylor expansion of re in re
8.853 * [backup-simplify]: Simplify 0 into 0
8.853 * [backup-simplify]: Simplify 1 into 1
8.853 * [backup-simplify]: Simplify (* 1 1) into 1
8.853 * [backup-simplify]: Simplify (/ 1 1) into 1
8.854 * [backup-simplify]: Simplify (+ 0 1) into 1
8.854 * [backup-simplify]: Simplify (log 1) into 0
8.854 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.854 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
8.854 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.854 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.854 * [taylor]: Taking taylor expansion of re in re
8.854 * [backup-simplify]: Simplify 0 into 0
8.854 * [backup-simplify]: Simplify 1 into 1
8.855 * [backup-simplify]: Simplify (/ 1 1) into 1
8.855 * [backup-simplify]: Simplify (- 1) into -1
8.855 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.855 * [taylor]: Taking taylor expansion of -1 in im
8.855 * [backup-simplify]: Simplify -1 into -1
8.855 * [backup-simplify]: Simplify -1 into -1
8.856 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow re -2/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.856 * [backup-simplify]: Simplify (- 0) into 0
8.857 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 0) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.857 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) in im
8.857 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
8.857 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.857 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
8.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
8.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
8.857 * [taylor]: Taking taylor expansion of 1/3 in im
8.857 * [backup-simplify]: Simplify 1/3 into 1/3
8.857 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
8.857 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.857 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.857 * [taylor]: Taking taylor expansion of re in im
8.857 * [backup-simplify]: Simplify re into re
8.857 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.857 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.857 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
8.857 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
8.858 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
8.858 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.858 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.858 * [backup-simplify]: Simplify 0 into 0
8.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.860 * [backup-simplify]: Simplify (+ 0 0) into 0
8.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.861 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.861 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
8.862 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.862 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow re -2/3))) into 0
8.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.863 * [backup-simplify]: Simplify (- 0) into 0
8.863 * [backup-simplify]: Simplify (+ 0 0) into 0
8.863 * [taylor]: Taking taylor expansion of 0 in im
8.863 * [backup-simplify]: Simplify 0 into 0
8.864 * [backup-simplify]: Simplify 0 into 0
8.864 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
8.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
8.865 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
8.865 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.866 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
8.866 * [backup-simplify]: Simplify 0 into 0
8.866 * [backup-simplify]: Simplify 0 into 0
8.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.867 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.868 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
8.869 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.869 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
8.870 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
8.872 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* 0 (pow re -2/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
8.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.873 * [backup-simplify]: Simplify (- 0) into 0
8.874 * [backup-simplify]: Simplify (+ (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) 0) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
8.874 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) in im
8.874 * [taylor]: Taking taylor expansion of 1/3 in im
8.874 * [backup-simplify]: Simplify 1/3 into 1/3
8.874 * [taylor]: Taking taylor expansion of (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)) in im
8.874 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) in im
8.874 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
8.874 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.875 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.875 * [taylor]: Taking taylor expansion of im in im
8.875 * [backup-simplify]: Simplify 0 into 0
8.875 * [backup-simplify]: Simplify 1 into 1
8.882 * [backup-simplify]: Simplify (* 1 1) into 1
8.883 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.883 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
8.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
8.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
8.883 * [taylor]: Taking taylor expansion of 1/3 in im
8.884 * [backup-simplify]: Simplify 1/3 into 1/3
8.884 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
8.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.884 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.884 * [taylor]: Taking taylor expansion of re in im
8.884 * [backup-simplify]: Simplify re into re
8.884 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.884 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.884 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
8.884 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
8.884 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
8.885 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
8.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
8.887 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
8.887 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
8.890 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
8.891 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
8.892 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)))) into 0
8.895 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.899 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
8.900 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
8.900 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.902 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))))) into 0
8.902 * [backup-simplify]: Simplify 0 into 0
8.902 * [backup-simplify]: Simplify 0 into 0
8.903 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow (/ 1 (- im)) 2)) (/ 1 (pow (/ 1 (- re)) 2))) 1/6)) (pow (/ 1 (pow (/ 1 (- re)) 2)) 1/3)) (* -1 (* 1 (/ 1 (/ 1 (- re)))))) into (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
8.903 * * * [progress]: simplifying candidates
8.905 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp re))
  (log (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (exp (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))
  (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (* (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (+ (pow (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3))
  (+ (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (- (* re re) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))
  (- (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) (* 1/3 (* (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow re 2)) (pow (/ 1 (pow im 4)) 1/3)))))
  (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
  (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
8.908 * * [simplify]: Extracting # 0 : cost  0
8.908 * * [simplify]: Extracting # 1 : cost  0
8.908 * * [simplify]: Extracting # 2 : cost  0
8.908 * * [simplify]: Extracting # 3 : cost  0
8.908 * * [simplify]: Extracting # 4 : cost  0
8.909 * * [simplify]: Extracting # 5 : cost  0
8.909 * * [simplify]: Extracting # 6 : cost  0
8.909 * * [simplify]: Extracting # 7 : cost  0
8.909 * * [simplify]: Extracting # 8 : cost  0
8.909 * * [simplify]: Extracting # 9 : cost  0
8.910 * * [simplify]: iteration  0 :  83  enodes  (cost  1331 )
8.946 * * [simplify]: Extracting # 0 : cost  0
8.947 * * [simplify]: Extracting # 1 : cost  0
8.947 * * [simplify]: Extracting # 2 : cost  0
8.948 * * [simplify]: Extracting # 3 : cost  0
8.948 * * [simplify]: Extracting # 4 : cost  0
8.949 * * [simplify]: iteration  1 :  223  enodes  (cost  1219 )
9.073 * * [simplify]: Extracting # 0 : cost  0
9.074 * * [simplify]: Extracting # 1 : cost  0
9.075 * * [simplify]: Extracting # 2 : cost  0
9.076 * * [simplify]: Extracting # 3 : cost  0
9.078 * * [simplify]: Extracting # 4 : cost  0
9.079 * * [simplify]: iteration  2 :  640  enodes  (cost  1087 )
9.511 * * [simplify]: Extracting # 0 : cost  0
9.514 * * [simplify]: Extracting # 1 : cost  0
9.516 * * [simplify]: Extracting # 2 : cost  0
9.518 * * [simplify]: Extracting # 3 : cost  0
9.520 * * [simplify]: Extracting # 4 : cost  0
9.523 * * [simplify]: iteration  3 :  1981  enodes  (cost  1046 )
10.684 * * [simplify]: Extracting # 0 : cost  0
10.690 * * [simplify]: Extracting # 1 : cost  0
10.696 * * [simplify]: Extracting # 2 : cost  0
10.704 * * [simplify]: Extracting # 3 : cost  0
10.715 * * [simplify]: Extracting # 4 : cost  0
10.726 * * [simplify]: iteration done:  5000  enodes  (cost  1024 )
10.727 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (- (pow im 4) (* (* re re) (* im im))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (- (pow im 4) (* (* re re) (* im im))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (- (pow im 4) (* (* re re) (* im im))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (log (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (exp (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))
  (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (pow (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re) 3)
  (sqrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (+ (pow (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3))
  (- (* re re) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (- (* re (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))))))
  (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (+ (* (* (* re re) (cbrt (/ 1 (pow im 4)))) 1/3) (cbrt (* im im)))))
  (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (cbrt (pow re 2))) re)
  (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (cbrt (pow re 2))) re)
10.728 * * * [progress]: adding candidates to table
11.251 * [progress]: [Phase 3 of 3] Extracting.
11.251 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>)
11.255 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
11.255 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>)
11.326 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>)
11.392 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>)
11.476 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>)
11.558 * * * [regime]: Found split indices: #<option (#s(si 2 121) #s(si 7 223) #s(si 9 255))>
11.559 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>)
11.685 * [regimes]: Found splitpoints: (#s(sp 2 re 4.00321890872775e-310) #s(sp 7 re 8.148041992667695e+135) #s(sp 9 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>)
11.686 * [simplify]: Simplifying:
  (if (<= re 4.00321890872775e-310) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 8.148041992667695e+135) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))) (* 0.5 (sqrt (* 2.0 (* 2 re))))))
11.686 * * [simplify]: Extracting # 0 : cost  0
11.686 * * [simplify]: Extracting # 1 : cost  0
11.686 * * [simplify]: Extracting # 2 : cost  0
11.687 * * [simplify]: Extracting # 3 : cost  0
11.687 * * [simplify]: Extracting # 4 : cost  0
11.687 * * [simplify]: Extracting # 5 : cost  0
11.687 * * [simplify]: Extracting # 6 : cost  0
11.687 * * [simplify]: Extracting # 7 : cost  0
11.687 * * [simplify]: Extracting # 8 : cost  0
11.687 * * [simplify]: Extracting # 9 : cost  0
11.687 * * [simplify]: Extracting # 10 : cost  0
11.687 * * [simplify]: Extracting # 11 : cost  0
11.687 * * [simplify]: Extracting # 12 : cost  0
11.687 * * [simplify]: Extracting # 13 : cost  0
11.688 * * [simplify]: Extracting # 14 : cost  0
11.688 * * [simplify]: Extracting # 15 : cost  0
11.688 * * [simplify]: Extracting # 16 : cost  0
11.688 * * [simplify]: iteration  0 :  34  enodes  (cost  66 )
11.691 * * [simplify]: Extracting # 0 : cost  0
11.691 * * [simplify]: iteration  1 :  44  enodes  (cost  66 )
11.695 * * [simplify]: Extracting # 0 : cost  0
11.695 * * [simplify]: iteration done:  44  enodes  (cost  66 )
11.695 * [simplify]: Simplified to:
  (if (<= re 4.00321890872775e-310) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 8.148041992667695e+135) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))) (* 0.5 (sqrt (* 2.0 (* 2 re))))))
14.674 * [regime-testing]: Baseline error score: 39.472559944449884
14.677 * [regime-testing]: Oracle error score: 17.762124478885262
14.684 * [regime-testing]: End program error score: 26.51998691021393
14.745 * [regime-testing]: Target error score: 33.74875140290767