23.196 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.030 * * * [progress]: [2/2] Setting up program.
0.033 * [progress]: [Phase 2 of 3] Improving.
0.033 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.033 * * [simplify]: Extracting # 0 : cost  0
0.033 * * [simplify]: Extracting # 1 : cost  0
0.033 * * [simplify]: Extracting # 2 : cost  0
0.033 * * [simplify]: Extracting # 3 : cost  0
0.033 * * [simplify]: Extracting # 4 : cost  0
0.033 * * [simplify]: Extracting # 5 : cost  0
0.033 * * [simplify]: Extracting # 6 : cost  0
0.033 * * [simplify]: Extracting # 7 : cost  0
0.033 * * [simplify]: Extracting # 8 : cost  0
0.033 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.035 * * [simplify]: Extracting # 0 : cost  0
0.035 * * [simplify]: Extracting # 1 : cost  0
0.035 * * [simplify]: Extracting # 2 : cost  0
0.035 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.039 * * [simplify]: Extracting # 0 : cost  0
0.039 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.042 * * [simplify]: Extracting # 0 : cost  0
0.042 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.042 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.043 * * [progress]: iteration 1 / 4
0.043 * * * [progress]: picking best candidate
0.045 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.045 * * * [progress]: localizing error
0.058 * * * [progress]: generating rewritten candidates
0.058 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.069 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.152 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.183 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.192 * * * [progress]: generating series expansions
0.192 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.192 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.192 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.192 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.192 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.192 * [taylor]: Taking taylor expansion of re in im
0.192 * [backup-simplify]: Simplify re into re
0.192 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.192 * [taylor]: Taking taylor expansion of im in im
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.192 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.193 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.193 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.193 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.193 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.193 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.193 * [taylor]: Taking taylor expansion of re in re
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.193 * [taylor]: Taking taylor expansion of im in re
0.193 * [backup-simplify]: Simplify im into im
0.193 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.194 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.194 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.194 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.194 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.194 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.194 * [taylor]: Taking taylor expansion of re in re
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.194 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.194 * [taylor]: Taking taylor expansion of im in re
0.194 * [backup-simplify]: Simplify im into im
0.194 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.194 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.194 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.194 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.195 * [taylor]: Taking taylor expansion of im in im
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [taylor]: Taking taylor expansion of 0 in im
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (* 1 1) into 1
0.196 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.196 * [backup-simplify]: Simplify (+ 1 0) into 1
0.196 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.196 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.196 * [taylor]: Taking taylor expansion of 1/2 in im
0.196 * [backup-simplify]: Simplify 1/2 into 1/2
0.196 * [taylor]: Taking taylor expansion of im in im
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.198 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.199 * [taylor]: Taking taylor expansion of 0 in im
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.199 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.199 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.199 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.200 * [taylor]: Taking taylor expansion of im in im
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify (* 1 1) into 1
0.200 * [backup-simplify]: Simplify (/ 1 1) into 1
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.200 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.200 * [taylor]: Taking taylor expansion of re in im
0.200 * [backup-simplify]: Simplify re into re
0.200 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.200 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.201 * [backup-simplify]: Simplify (+ 1 0) into 1
0.201 * [backup-simplify]: Simplify (sqrt 1) into 1
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.207 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.207 * [taylor]: Taking taylor expansion of im in re
0.207 * [backup-simplify]: Simplify im into im
0.207 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.207 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.207 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.207 * [taylor]: Taking taylor expansion of re in re
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (/ 1 1) into 1
0.208 * [backup-simplify]: Simplify (+ 0 1) into 1
0.208 * [backup-simplify]: Simplify (sqrt 1) into 1
0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.209 * [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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.209 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.209 * [taylor]: Taking taylor expansion of im in re
0.209 * [backup-simplify]: Simplify im into im
0.209 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.210 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.210 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.210 * [taylor]: Taking taylor expansion of re in re
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 1 into 1
0.210 * [backup-simplify]: Simplify (* 1 1) into 1
0.210 * [backup-simplify]: Simplify (/ 1 1) into 1
0.210 * [backup-simplify]: Simplify (+ 0 1) into 1
0.211 * [backup-simplify]: Simplify (sqrt 1) into 1
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.212 * [taylor]: Taking taylor expansion of 1 in im
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [taylor]: Taking taylor expansion of 0 in im
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.214 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.214 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.214 * [taylor]: Taking taylor expansion of 1/2 in im
0.214 * [backup-simplify]: Simplify 1/2 into 1/2
0.214 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.214 * [taylor]: Taking taylor expansion of im in im
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify (* 1 1) into 1
0.215 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [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
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.218 * [taylor]: Taking taylor expansion of 0 in im
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.219 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.219 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.219 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.219 * [taylor]: Taking taylor expansion of im in im
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.220 * [backup-simplify]: Simplify (* 1 1) into 1
0.220 * [backup-simplify]: Simplify (/ 1 1) into 1
0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.220 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.220 * [taylor]: Taking taylor expansion of re in im
0.220 * [backup-simplify]: Simplify re into re
0.220 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.220 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.221 * [backup-simplify]: Simplify (+ 1 0) into 1
0.221 * [backup-simplify]: Simplify (sqrt 1) into 1
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.224 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.224 * [taylor]: Taking taylor expansion of im in re
0.224 * [backup-simplify]: Simplify im into im
0.224 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.224 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.224 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.224 * [taylor]: Taking taylor expansion of re in re
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (* 1 1) into 1
0.225 * [backup-simplify]: Simplify (/ 1 1) into 1
0.225 * [backup-simplify]: Simplify (+ 0 1) into 1
0.226 * [backup-simplify]: Simplify (sqrt 1) into 1
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.229 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.229 * [taylor]: Taking taylor expansion of im in re
0.229 * [backup-simplify]: Simplify im into im
0.229 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.229 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.229 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.229 * [taylor]: Taking taylor expansion of re in re
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.230 * [backup-simplify]: Simplify (* 1 1) into 1
0.230 * [backup-simplify]: Simplify (/ 1 1) into 1
0.230 * [backup-simplify]: Simplify (+ 0 1) into 1
0.231 * [backup-simplify]: Simplify (sqrt 1) into 1
0.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.233 * [backup-simplify]: Simplify (+ 0 0) into 0
0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.234 * [taylor]: Taking taylor expansion of 1 in im
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [taylor]: Taking taylor expansion of 0 in im
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.237 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.237 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.237 * [taylor]: Taking taylor expansion of 1/2 in im
0.237 * [backup-simplify]: Simplify 1/2 into 1/2
0.237 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.237 * [taylor]: Taking taylor expansion of im in im
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.238 * [backup-simplify]: Simplify (* 1 1) into 1
0.238 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.243 * [taylor]: Taking taylor expansion of 0 in im
0.243 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.246 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.246 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.246 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.246 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.246 * [taylor]: Taking taylor expansion of re in im
0.246 * [backup-simplify]: Simplify re into re
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.246 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.246 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.246 * [taylor]: Taking taylor expansion of re in im
0.246 * [backup-simplify]: Simplify re into re
0.246 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.246 * [taylor]: Taking taylor expansion of im in im
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.247 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.247 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.247 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.247 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.247 * [taylor]: Taking taylor expansion of re in re
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.248 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.248 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.248 * [taylor]: Taking taylor expansion of re in re
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.248 * [taylor]: Taking taylor expansion of im in re
0.248 * [backup-simplify]: Simplify im into im
0.248 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.248 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.248 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.248 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.249 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.249 * [taylor]: Taking taylor expansion of re in re
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.249 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.249 * [taylor]: Taking taylor expansion of re in re
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.250 * [taylor]: Taking taylor expansion of im in re
0.250 * [backup-simplify]: Simplify im into im
0.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.250 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.250 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.250 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.251 * [backup-simplify]: Simplify (+ 0 im) into im
0.251 * [taylor]: Taking taylor expansion of im in im
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (+ 1 0) into 1
0.251 * [taylor]: Taking taylor expansion of 1 in im
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.253 * [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
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.258 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.259 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [taylor]: Taking taylor expansion of 0 in im
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.261 * [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)))))
0.262 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.262 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.262 * [taylor]: Taking taylor expansion of re in im
0.262 * [backup-simplify]: Simplify re into re
0.262 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.262 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.262 * [taylor]: Taking taylor expansion of im in im
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
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.263 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.263 * [taylor]: Taking taylor expansion of re in im
0.263 * [backup-simplify]: Simplify re into re
0.263 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.264 * [backup-simplify]: Simplify (+ 1 0) into 1
0.264 * [backup-simplify]: Simplify (sqrt 1) into 1
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.267 * [taylor]: Taking taylor expansion of re in re
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (/ 1 1) into 1
0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.267 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.267 * [taylor]: Taking taylor expansion of im in re
0.267 * [backup-simplify]: Simplify im into im
0.267 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.268 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.268 * [taylor]: Taking taylor expansion of re in re
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (* 1 1) into 1
0.269 * [backup-simplify]: Simplify (/ 1 1) into 1
0.269 * [backup-simplify]: Simplify (+ 0 1) into 1
0.269 * [backup-simplify]: Simplify (sqrt 1) into 1
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.272 * [taylor]: Taking taylor expansion of re in re
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (/ 1 1) into 1
0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.273 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.273 * [taylor]: Taking taylor expansion of im in re
0.273 * [backup-simplify]: Simplify im into im
0.273 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.273 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.273 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.273 * [taylor]: Taking taylor expansion of re in re
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.274 * [backup-simplify]: Simplify (* 1 1) into 1
0.274 * [backup-simplify]: Simplify (/ 1 1) into 1
0.274 * [backup-simplify]: Simplify (+ 0 1) into 1
0.275 * [backup-simplify]: Simplify (sqrt 1) into 1
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.278 * [backup-simplify]: Simplify (+ 1 1) into 2
0.278 * [taylor]: Taking taylor expansion of 2 in im
0.278 * [backup-simplify]: Simplify 2 into 2
0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [taylor]: Taking taylor expansion of 0 in im
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 2 into 2
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.284 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.284 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.284 * [taylor]: Taking taylor expansion of 1/2 in im
0.284 * [backup-simplify]: Simplify 1/2 into 1/2
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.285 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.285 * [taylor]: Taking taylor expansion of im in im
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [taylor]: Taking taylor expansion of 0 in im
0.293 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.296 * [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))
0.296 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.296 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.297 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.297 * [taylor]: Taking taylor expansion of im in im
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (* 1 1) into 1
0.297 * [backup-simplify]: Simplify (/ 1 1) into 1
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.298 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.298 * [taylor]: Taking taylor expansion of re in im
0.298 * [backup-simplify]: Simplify re into re
0.298 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.298 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.298 * [backup-simplify]: Simplify (+ 1 0) into 1
0.299 * [backup-simplify]: Simplify (sqrt 1) into 1
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.301 * [taylor]: Taking taylor expansion of re in im
0.301 * [backup-simplify]: Simplify re into re
0.302 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.302 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.302 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.302 * [taylor]: Taking taylor expansion of im in re
0.302 * [backup-simplify]: Simplify im into im
0.302 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.302 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.302 * [taylor]: Taking taylor expansion of re in re
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (* 1 1) into 1
0.303 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [backup-simplify]: Simplify (+ 0 1) into 1
0.304 * [backup-simplify]: Simplify (sqrt 1) into 1
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ 0 0) into 0
0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.306 * [taylor]: Taking taylor expansion of re in re
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.307 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.307 * [taylor]: Taking taylor expansion of im in re
0.307 * [backup-simplify]: Simplify im into im
0.307 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.307 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.307 * [taylor]: Taking taylor expansion of re in re
0.307 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (* 1 1) into 1
0.308 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [backup-simplify]: Simplify (+ 0 1) into 1
0.309 * [backup-simplify]: Simplify (sqrt 1) into 1
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.312 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.312 * [taylor]: Taking taylor expansion of re in re
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (/ 1 1) into 1
0.313 * [backup-simplify]: Simplify (- 1) into -1
0.313 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.313 * [taylor]: Taking taylor expansion of 0 in im
0.313 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (- 0) into 0
0.315 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [taylor]: Taking taylor expansion of 0 in im
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.318 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (- 0) into 0
0.320 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.320 * [taylor]: Taking taylor expansion of 1/2 in im
0.320 * [backup-simplify]: Simplify 1/2 into 1/2
0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.320 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.320 * [taylor]: Taking taylor expansion of im in im
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (* 1 1) into 1
0.321 * [backup-simplify]: Simplify (/ 1 1) into 1
0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (- 0) into 0
0.329 * [backup-simplify]: Simplify (+ 0 0) into 0
0.329 * [taylor]: Taking taylor expansion of 0 in im
0.329 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.332 * [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))))))
0.332 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.332 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.332 * [taylor]: Taking taylor expansion of 2.0 in im
0.332 * [backup-simplify]: Simplify 2.0 into 2.0
0.333 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.333 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.333 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.333 * [taylor]: Taking taylor expansion of re in im
0.333 * [backup-simplify]: Simplify re into re
0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.333 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.333 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.333 * [taylor]: Taking taylor expansion of re in im
0.333 * [backup-simplify]: Simplify re into re
0.333 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.333 * [taylor]: Taking taylor expansion of im in im
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.333 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.334 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.334 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.334 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.334 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.334 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.334 * [taylor]: Taking taylor expansion of 2.0 in re
0.334 * [backup-simplify]: Simplify 2.0 into 2.0
0.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.335 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.335 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.335 * [taylor]: Taking taylor expansion of re in re
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.336 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.336 * [taylor]: Taking taylor expansion of re in re
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.336 * [taylor]: Taking taylor expansion of im in re
0.336 * [backup-simplify]: Simplify im into im
0.336 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.336 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.336 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.336 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.337 * [backup-simplify]: Simplify (+ 0 im) into im
0.337 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.337 * [backup-simplify]: Simplify (+ 1 0) into 1
0.337 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.337 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.337 * [taylor]: Taking taylor expansion of 2.0 in re
0.337 * [backup-simplify]: Simplify 2.0 into 2.0
0.337 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.338 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.338 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.338 * [taylor]: Taking taylor expansion of re in re
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 1 into 1
0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.338 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.338 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.338 * [taylor]: Taking taylor expansion of re in re
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 1 into 1
0.338 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.338 * [taylor]: Taking taylor expansion of im in re
0.338 * [backup-simplify]: Simplify im into im
0.338 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.338 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.338 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.338 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.339 * [backup-simplify]: Simplify (+ 0 im) into im
0.339 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.339 * [backup-simplify]: Simplify (+ 1 0) into 1
0.339 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.340 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.340 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.340 * [taylor]: Taking taylor expansion of 2.0 in im
0.340 * [backup-simplify]: Simplify 2.0 into 2.0
0.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.340 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.340 * [taylor]: Taking taylor expansion of im in im
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (sqrt 0) into 0
0.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.342 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.342 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.342 * [taylor]: Taking taylor expansion of 1/2 in im
0.342 * [backup-simplify]: Simplify 1/2 into 1/2
0.342 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.342 * [taylor]: Taking taylor expansion of 2.0 in im
0.343 * [backup-simplify]: Simplify 2.0 into 2.0
0.343 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.343 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.343 * [taylor]: Taking taylor expansion of im in im
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (/ 1 1) into 1
0.344 * [backup-simplify]: Simplify (sqrt 0) into 0
0.345 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.351 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.352 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.354 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.355 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.356 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.357 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.358 * [backup-simplify]: Simplify (* 1 1) into 1
0.358 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.358 * [backup-simplify]: Simplify (+ 1 0) into 1
0.359 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.359 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.359 * [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))))
0.360 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.360 * [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)))))
0.361 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.361 * [taylor]: Taking taylor expansion of 1/8 in im
0.361 * [backup-simplify]: Simplify 1/8 into 1/8
0.361 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.361 * [taylor]: Taking taylor expansion of 2.0 in im
0.361 * [backup-simplify]: Simplify 2.0 into 2.0
0.361 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.361 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.361 * [taylor]: Taking taylor expansion of im in im
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (* 1 1) into 1
0.362 * [backup-simplify]: Simplify (* 1 1) into 1
0.362 * [backup-simplify]: Simplify (/ 1 1) into 1
0.362 * [backup-simplify]: Simplify (sqrt 0) into 0
0.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.368 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.370 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.370 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.374 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.376 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.381 * [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)))))))
0.382 * [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)))))))
0.382 * [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
0.382 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.382 * [taylor]: Taking taylor expansion of 2.0 in im
0.382 * [backup-simplify]: Simplify 2.0 into 2.0
0.382 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.383 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.383 * [taylor]: Taking taylor expansion of re in im
0.383 * [backup-simplify]: Simplify re into re
0.383 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.383 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.383 * [taylor]: Taking taylor expansion of im in im
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (* 1 1) into 1
0.384 * [backup-simplify]: Simplify (/ 1 1) into 1
0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.384 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.384 * [taylor]: Taking taylor expansion of re in im
0.384 * [backup-simplify]: Simplify re into re
0.384 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.385 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.385 * [backup-simplify]: Simplify (+ 1 0) into 1
0.385 * [backup-simplify]: Simplify (sqrt 1) into 1
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.389 * [backup-simplify]: Simplify (+ 0 1) into 1
0.389 * [backup-simplify]: Simplify (sqrt 0) into 0
0.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.391 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.391 * [taylor]: Taking taylor expansion of 2.0 in re
0.391 * [backup-simplify]: Simplify 2.0 into 2.0
0.391 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.392 * [taylor]: Taking taylor expansion of re in re
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (/ 1 1) into 1
0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.393 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.393 * [taylor]: Taking taylor expansion of im in re
0.393 * [backup-simplify]: Simplify im into im
0.393 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.393 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.393 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.393 * [taylor]: Taking taylor expansion of re in re
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.394 * [backup-simplify]: Simplify (* 1 1) into 1
0.394 * [backup-simplify]: Simplify (/ 1 1) into 1
0.394 * [backup-simplify]: Simplify (+ 0 1) into 1
0.395 * [backup-simplify]: Simplify (sqrt 1) into 1
0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.398 * [backup-simplify]: Simplify (+ 1 1) into 2
0.398 * [backup-simplify]: Simplify (sqrt 0) into 0
0.399 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.399 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.400 * [taylor]: Taking taylor expansion of 2.0 in re
0.400 * [backup-simplify]: Simplify 2.0 into 2.0
0.400 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.401 * [taylor]: Taking taylor expansion of re in re
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 1 into 1
0.401 * [backup-simplify]: Simplify (/ 1 1) into 1
0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.402 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.402 * [taylor]: Taking taylor expansion of im in re
0.402 * [backup-simplify]: Simplify im into im
0.402 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.402 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.402 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.402 * [taylor]: Taking taylor expansion of re in re
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify (* 1 1) into 1
0.403 * [backup-simplify]: Simplify (/ 1 1) into 1
0.403 * [backup-simplify]: Simplify (+ 0 1) into 1
0.404 * [backup-simplify]: Simplify (sqrt 1) into 1
0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.407 * [backup-simplify]: Simplify (+ 1 1) into 2
0.407 * [backup-simplify]: Simplify (sqrt 0) into 0
0.409 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.409 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.409 * [taylor]: Taking taylor expansion of 0 in im
0.409 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.412 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.412 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.412 * [taylor]: Taking taylor expansion of +nan.0 in im
0.412 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.412 * [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 0 into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ 0 0) into 0
0.417 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.421 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.421 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.421 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.421 * [taylor]: Taking taylor expansion of +nan.0 in im
0.421 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.422 * [taylor]: Taking taylor expansion of 2.0 in im
0.422 * [backup-simplify]: Simplify 2.0 into 2.0
0.422 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.424 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.425 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.427 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.427 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.431 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.432 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.434 * [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))
0.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.437 * [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)))))
0.437 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.437 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.437 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.437 * [taylor]: Taking taylor expansion of +nan.0 in im
0.437 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.437 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.437 * [taylor]: Taking taylor expansion of 2.0 in im
0.437 * [backup-simplify]: Simplify 2.0 into 2.0
0.438 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.439 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.439 * [taylor]: Taking taylor expansion of im in im
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (* 1 1) into 1
0.440 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.440 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.440 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.440 * [taylor]: Taking taylor expansion of +nan.0 in im
0.440 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.440 * [taylor]: Taking taylor expansion of 2.0 in im
0.440 * [backup-simplify]: Simplify 2.0 into 2.0
0.441 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.444 * [backup-simplify]: Simplify (+ 0 0) into 0
0.445 * [backup-simplify]: Simplify (- 0) into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.447 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.449 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.450 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.450 * [backup-simplify]: Simplify (- 0) into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.453 * [backup-simplify]: Simplify (+ 0 0) into 0
0.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.454 * [backup-simplify]: Simplify (+ 0 0) into 0
0.454 * [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)))
0.455 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.456 * [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)))))
0.457 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.457 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.457 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.457 * [taylor]: Taking taylor expansion of +nan.0 in im
0.457 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.457 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.457 * [taylor]: Taking taylor expansion of 2.0 in im
0.457 * [backup-simplify]: Simplify 2.0 into 2.0
0.457 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.457 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.457 * [taylor]: Taking taylor expansion of im in im
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 1 into 1
0.458 * [backup-simplify]: Simplify (* 1 1) into 1
0.458 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.458 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.458 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.458 * [taylor]: Taking taylor expansion of +nan.0 in im
0.458 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.458 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.458 * [taylor]: Taking taylor expansion of 2.0 in im
0.458 * [backup-simplify]: Simplify 2.0 into 2.0
0.459 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.461 * [backup-simplify]: Simplify (+ 0 0) into 0
0.461 * [backup-simplify]: Simplify (- 0) into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.464 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.465 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.466 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.468 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.469 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.480 * [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)))))))
0.480 * [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))))
0.480 * [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
0.480 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.480 * [taylor]: Taking taylor expansion of 2.0 in im
0.480 * [backup-simplify]: Simplify 2.0 into 2.0
0.481 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.482 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.482 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.482 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.482 * [taylor]: Taking taylor expansion of im in im
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (* 1 1) into 1
0.483 * [backup-simplify]: Simplify (/ 1 1) into 1
0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.483 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.483 * [taylor]: Taking taylor expansion of re in im
0.483 * [backup-simplify]: Simplify re into re
0.483 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.484 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.484 * [backup-simplify]: Simplify (+ 1 0) into 1
0.484 * [backup-simplify]: Simplify (sqrt 1) into 1
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.487 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.487 * [taylor]: Taking taylor expansion of re in im
0.487 * [backup-simplify]: Simplify re into re
0.488 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.488 * [backup-simplify]: Simplify (+ 1 0) into 1
0.488 * [backup-simplify]: Simplify (sqrt 0) into 0
0.490 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.490 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.490 * [taylor]: Taking taylor expansion of 2.0 in re
0.490 * [backup-simplify]: Simplify 2.0 into 2.0
0.490 * [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 (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.491 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.491 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.491 * [taylor]: Taking taylor expansion of im in re
0.491 * [backup-simplify]: Simplify im into im
0.492 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.492 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.492 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.492 * [taylor]: Taking taylor expansion of re in re
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [backup-simplify]: Simplify (* 1 1) into 1
0.493 * [backup-simplify]: Simplify (/ 1 1) into 1
0.493 * [backup-simplify]: Simplify (+ 0 1) into 1
0.494 * [backup-simplify]: Simplify (sqrt 1) into 1
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.496 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.496 * [taylor]: Taking taylor expansion of re in re
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [backup-simplify]: Simplify (/ 1 1) into 1
0.496 * [backup-simplify]: Simplify (- 1) into -1
0.497 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.497 * [backup-simplify]: Simplify (- 0) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.500 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (- 0) into 0
0.500 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.501 * [backup-simplify]: Simplify (sqrt 0) into 0
0.501 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.501 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.501 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.501 * [taylor]: Taking taylor expansion of 2.0 in re
0.501 * [backup-simplify]: Simplify 2.0 into 2.0
0.501 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.502 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.502 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.502 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.502 * [taylor]: Taking taylor expansion of im in re
0.502 * [backup-simplify]: Simplify im into im
0.502 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.502 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.502 * [taylor]: Taking taylor expansion of re in re
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify (* 1 1) into 1
0.503 * [backup-simplify]: Simplify (/ 1 1) into 1
0.503 * [backup-simplify]: Simplify (+ 0 1) into 1
0.503 * [backup-simplify]: Simplify (sqrt 1) into 1
0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ 0 0) into 0
0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.505 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.505 * [taylor]: Taking taylor expansion of re in re
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [backup-simplify]: Simplify (- 1) into -1
0.505 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- 0) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.508 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (- 0) into 0
0.509 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.509 * [backup-simplify]: Simplify (sqrt 0) into 0
0.510 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.510 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.510 * [taylor]: Taking taylor expansion of 0 in im
0.510 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.511 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.511 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.511 * [taylor]: Taking taylor expansion of +nan.0 in im
0.511 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.511 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.511 * [taylor]: Taking taylor expansion of 2.0 in im
0.511 * [backup-simplify]: Simplify 2.0 into 2.0
0.511 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.512 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.512 * [taylor]: Taking taylor expansion of im in im
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (* 1 1) into 1
0.513 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.514 * [backup-simplify]: Simplify (- 0) into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (- 0) into 0
0.517 * [backup-simplify]: Simplify (+ 0 0) into 0
0.518 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.519 * [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))))
0.519 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.519 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.519 * [taylor]: Taking taylor expansion of +nan.0 in im
0.519 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.519 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.519 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.519 * [taylor]: Taking taylor expansion of 2.0 in im
0.519 * [backup-simplify]: Simplify 2.0 into 2.0
0.520 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.520 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.520 * [taylor]: Taking taylor expansion of im in im
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.522 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.530 * [backup-simplify]: Simplify (- 0) into 0
0.530 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.535 * [backup-simplify]: Simplify (- 0) into 0
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (- 0) into 0
0.542 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.543 * [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))))))
0.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.546 * [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))))))
0.546 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.546 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.546 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.546 * [taylor]: Taking taylor expansion of +nan.0 in im
0.546 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.546 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.546 * [taylor]: Taking taylor expansion of 2.0 in im
0.546 * [backup-simplify]: Simplify 2.0 into 2.0
0.547 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.548 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.548 * [taylor]: Taking taylor expansion of im in im
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.549 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.549 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.549 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.550 * [taylor]: Taking taylor expansion of +nan.0 in im
0.550 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.550 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.550 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.550 * [taylor]: Taking taylor expansion of 2.0 in im
0.550 * [backup-simplify]: Simplify 2.0 into 2.0
0.550 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.551 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.551 * [taylor]: Taking taylor expansion of im in im
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 1 into 1
0.551 * [backup-simplify]: Simplify (* 1 1) into 1
0.552 * [backup-simplify]: Simplify (* 1 1) into 1
0.552 * [backup-simplify]: Simplify (* 1 1) into 1
0.553 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.554 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.581 * [backup-simplify]: Simplify (- 0) into 0
0.581 * [backup-simplify]: Simplify (+ 0 0) into 0
0.581 * [backup-simplify]: Simplify (- 0) into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.581 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.581 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.582 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.582 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.582 * [taylor]: Taking taylor expansion of re in im
0.582 * [backup-simplify]: Simplify re into re
0.582 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.582 * [taylor]: Taking taylor expansion of im in im
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify 1 into 1
0.582 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.582 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.582 * [taylor]: Taking taylor expansion of re in re
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify 1 into 1
0.582 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.582 * [taylor]: Taking taylor expansion of im in re
0.582 * [backup-simplify]: Simplify im into im
0.582 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.582 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.582 * [taylor]: Taking taylor expansion of re in re
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify 1 into 1
0.582 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.582 * [taylor]: Taking taylor expansion of im in re
0.582 * [backup-simplify]: Simplify im into im
0.582 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.582 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.582 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.582 * [taylor]: Taking taylor expansion of im in im
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify 1 into 1
0.582 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.583 * [backup-simplify]: Simplify (+ 0 0) into 0
0.583 * [taylor]: Taking taylor expansion of 0 in im
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify (* 1 1) into 1
0.583 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.583 * [backup-simplify]: Simplify (+ 1 0) into 1
0.583 * [taylor]: Taking taylor expansion of 1 in im
0.583 * [backup-simplify]: Simplify 1 into 1
0.583 * [backup-simplify]: Simplify 1 into 1
0.583 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (* 1 1) into 1
0.584 * [backup-simplify]: Simplify 1 into 1
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.585 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.585 * [backup-simplify]: Simplify (+ 0 0) into 0
0.585 * [taylor]: Taking taylor expansion of 0 in im
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.587 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.587 * [backup-simplify]: Simplify (+ 0 0) into 0
0.587 * [taylor]: Taking taylor expansion of 0 in im
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.587 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.587 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.587 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.587 * [taylor]: Taking taylor expansion of im in im
0.587 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify 1 into 1
0.588 * [backup-simplify]: Simplify (* 1 1) into 1
0.594 * [backup-simplify]: Simplify (/ 1 1) into 1
0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.594 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.594 * [taylor]: Taking taylor expansion of re in im
0.594 * [backup-simplify]: Simplify re into re
0.594 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.594 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.594 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.594 * [taylor]: Taking taylor expansion of im in re
0.594 * [backup-simplify]: Simplify im into im
0.594 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.594 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.595 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.595 * [taylor]: Taking taylor expansion of re in re
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 1 into 1
0.595 * [backup-simplify]: Simplify (* 1 1) into 1
0.595 * [backup-simplify]: Simplify (/ 1 1) into 1
0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.595 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.595 * [taylor]: Taking taylor expansion of im in re
0.595 * [backup-simplify]: Simplify im into im
0.595 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.596 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.596 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.596 * [taylor]: Taking taylor expansion of re in re
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 1 into 1
0.596 * [backup-simplify]: Simplify (* 1 1) into 1
0.596 * [backup-simplify]: Simplify (/ 1 1) into 1
0.596 * [backup-simplify]: Simplify (+ 0 1) into 1
0.596 * [taylor]: Taking taylor expansion of 1 in im
0.596 * [backup-simplify]: Simplify 1 into 1
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.597 * [backup-simplify]: Simplify (+ 0 0) into 0
0.597 * [taylor]: Taking taylor expansion of 0 in im
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.599 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.599 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.599 * [taylor]: Taking taylor expansion of im in im
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify 1 into 1
0.599 * [backup-simplify]: Simplify (* 1 1) into 1
0.599 * [backup-simplify]: Simplify (/ 1 1) into 1
0.599 * [backup-simplify]: Simplify 1 into 1
0.599 * [backup-simplify]: Simplify 1 into 1
0.599 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 1)) into 0
0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.603 * [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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.607 * [backup-simplify]: Simplify (+ 0 0) into 0
0.607 * [taylor]: Taking taylor expansion of 0 in im
0.607 * [backup-simplify]: Simplify 0 into 0
0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.610 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.610 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.610 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.610 * [taylor]: Taking taylor expansion of im in im
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.610 * [backup-simplify]: Simplify (* 1 1) into 1
0.611 * [backup-simplify]: Simplify (/ 1 1) into 1
0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.611 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.611 * [taylor]: Taking taylor expansion of re in im
0.611 * [backup-simplify]: Simplify re into re
0.611 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.611 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.611 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.611 * [taylor]: Taking taylor expansion of im in re
0.611 * [backup-simplify]: Simplify im into im
0.611 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.611 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.611 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.611 * [taylor]: Taking taylor expansion of re in re
0.611 * [backup-simplify]: Simplify 0 into 0
0.611 * [backup-simplify]: Simplify 1 into 1
0.612 * [backup-simplify]: Simplify (* 1 1) into 1
0.612 * [backup-simplify]: Simplify (/ 1 1) into 1
0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.612 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.612 * [taylor]: Taking taylor expansion of im in re
0.612 * [backup-simplify]: Simplify im into im
0.612 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.613 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.613 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.613 * [taylor]: Taking taylor expansion of re in re
0.613 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify 1 into 1
0.613 * [backup-simplify]: Simplify (* 1 1) into 1
0.613 * [backup-simplify]: Simplify (/ 1 1) into 1
0.614 * [backup-simplify]: Simplify (+ 0 1) into 1
0.614 * [taylor]: Taking taylor expansion of 1 in im
0.614 * [backup-simplify]: Simplify 1 into 1
0.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (+ 0 0) into 0
0.615 * [taylor]: Taking taylor expansion of 0 in im
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.617 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.617 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.617 * [taylor]: Taking taylor expansion of im in im
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 1 into 1
0.617 * [backup-simplify]: Simplify (* 1 1) into 1
0.617 * [backup-simplify]: Simplify (/ 1 1) into 1
0.617 * [backup-simplify]: Simplify 1 into 1
0.617 * [backup-simplify]: Simplify 1 into 1
0.617 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.619 * [backup-simplify]: Simplify (+ 0 0) into 0
0.619 * [taylor]: Taking taylor expansion of 0 in im
0.619 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.622 * [backup-simplify]: Simplify (+ 0 0) into 0
0.622 * [taylor]: Taking taylor expansion of 0 in im
0.622 * [backup-simplify]: Simplify 0 into 0
0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.623 * * * [progress]: simplifying candidates
0.624 * [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))
0.626 * * [simplify]: Extracting # 0 : cost  0
0.626 * * [simplify]: Extracting # 1 : cost  0
0.626 * * [simplify]: Extracting # 2 : cost  0
0.626 * * [simplify]: Extracting # 3 : cost  0
0.626 * * [simplify]: Extracting # 4 : cost  0
0.626 * * [simplify]: Extracting # 5 : cost  0
0.626 * * [simplify]: Extracting # 6 : cost  0
0.626 * * [simplify]: Extracting # 7 : cost  0
0.627 * * [simplify]: Extracting # 8 : cost  0
0.627 * * [simplify]: Extracting # 9 : cost  0
0.627 * * [simplify]: Extracting # 10 : cost  0
0.627 * * [simplify]: Extracting # 11 : cost  0
0.627 * * [simplify]: iteration  0 :  108  enodes  (cost  888 )
0.648 * * [simplify]: Extracting # 0 : cost  0
0.649 * * [simplify]: Extracting # 1 : cost  0
0.649 * * [simplify]: Extracting # 2 : cost  0
0.649 * * [simplify]: Extracting # 3 : cost  0
0.649 * * [simplify]: Extracting # 4 : cost  0
0.650 * * [simplify]: iteration  1 :  271  enodes  (cost  774 )
0.782 * * [simplify]: Extracting # 0 : cost  0
0.783 * * [simplify]: Extracting # 1 : cost  0
0.785 * * [simplify]: Extracting # 2 : cost  0
0.787 * * [simplify]: Extracting # 3 : cost  0
0.788 * * [simplify]: Extracting # 4 : cost  0
0.790 * * [simplify]: iteration  2 :  755  enodes  (cost  698 )
1.192 * * [simplify]: Extracting # 0 : cost  0
1.203 * * [simplify]: Extracting # 1 : cost  0
1.207 * * [simplify]: Extracting # 2 : cost  0
1.211 * * [simplify]: Extracting # 3 : cost  0
1.215 * * [simplify]: Extracting # 4 : cost  0
1.218 * * [simplify]: iteration  3 :  2070  enodes  (cost  673 )
2.950 * * [simplify]: Extracting # 0 : cost  0
2.956 * * [simplify]: Extracting # 1 : cost  0
2.962 * * [simplify]: Extracting # 2 : cost  0
2.967 * * [simplify]: Extracting # 3 : cost  0
2.972 * * [simplify]: Extracting # 4 : cost  0
2.977 * * [simplify]: iteration done:  5000  enodes  (cost  668 )
2.977 * [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))
2.978 * * * [progress]: adding candidates to table
3.233 * * [progress]: iteration 2 / 4
3.234 * * * [progress]: picking best candidate
3.258 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.258 * * * [progress]: localizing error
3.284 * * * [progress]: generating rewritten candidates
3.284 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1)
3.291 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
3.299 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1)
3.347 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
3.382 * * * [progress]: generating series expansions
3.382 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1)
3.383 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.383 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.383 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.383 * [taylor]: Taking taylor expansion of re in im
3.383 * [backup-simplify]: Simplify re into re
3.383 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.383 * [taylor]: Taking taylor expansion of im in im
3.383 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify 1 into 1
3.383 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.383 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.383 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.383 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.384 * [backup-simplify]: Simplify (+ 0 0) into 0
3.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.384 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.384 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.384 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.384 * [taylor]: Taking taylor expansion of re in re
3.384 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify 1 into 1
3.385 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.385 * [taylor]: Taking taylor expansion of im in re
3.385 * [backup-simplify]: Simplify im into im
3.385 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.385 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.385 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.385 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.386 * [backup-simplify]: Simplify (+ 0 0) into 0
3.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.386 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.386 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.386 * [taylor]: Taking taylor expansion of re in re
3.386 * [backup-simplify]: Simplify 0 into 0
3.386 * [backup-simplify]: Simplify 1 into 1
3.386 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.386 * [taylor]: Taking taylor expansion of im in re
3.386 * [backup-simplify]: Simplify im into im
3.386 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.386 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.386 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.387 * [backup-simplify]: Simplify (+ 0 0) into 0
3.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.387 * [taylor]: Taking taylor expansion of im in im
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 1 into 1
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [taylor]: Taking taylor expansion of 0 in im
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 1 into 1
3.388 * [backup-simplify]: Simplify (* 1 1) into 1
3.388 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.389 * [backup-simplify]: Simplify (+ 1 0) into 1
3.390 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.390 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.390 * [taylor]: Taking taylor expansion of 1/2 in im
3.390 * [backup-simplify]: Simplify 1/2 into 1/2
3.390 * [taylor]: Taking taylor expansion of im in im
3.390 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify 1 into 1
3.390 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.391 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify 0 into 0
3.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.393 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.393 * [backup-simplify]: Simplify (+ 0 0) into 0
3.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.393 * [taylor]: Taking taylor expansion of 0 in im
3.394 * [backup-simplify]: Simplify 0 into 0
3.394 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.395 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.395 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.395 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.395 * [taylor]: Taking taylor expansion of im in im
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify 1 into 1
3.396 * [backup-simplify]: Simplify (* 1 1) into 1
3.396 * [backup-simplify]: Simplify (/ 1 1) into 1
3.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.396 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.397 * [taylor]: Taking taylor expansion of re in im
3.397 * [backup-simplify]: Simplify re into re
3.397 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.397 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.397 * [backup-simplify]: Simplify (+ 1 0) into 1
3.398 * [backup-simplify]: Simplify (sqrt 1) into 1
3.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.400 * [backup-simplify]: Simplify (+ 0 0) into 0
3.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.400 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.401 * [taylor]: Taking taylor expansion of im in re
3.401 * [backup-simplify]: Simplify im into im
3.401 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.401 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.401 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.401 * [taylor]: Taking taylor expansion of re in re
3.401 * [backup-simplify]: Simplify 0 into 0
3.401 * [backup-simplify]: Simplify 1 into 1
3.401 * [backup-simplify]: Simplify (* 1 1) into 1
3.402 * [backup-simplify]: Simplify (/ 1 1) into 1
3.402 * [backup-simplify]: Simplify (+ 0 1) into 1
3.403 * [backup-simplify]: Simplify (sqrt 1) into 1
3.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.404 * [backup-simplify]: Simplify (+ 0 0) into 0
3.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.405 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.405 * [taylor]: Taking taylor expansion of im in re
3.405 * [backup-simplify]: Simplify im into im
3.405 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.405 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.406 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.406 * [taylor]: Taking taylor expansion of re in re
3.406 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify 1 into 1
3.406 * [backup-simplify]: Simplify (* 1 1) into 1
3.406 * [backup-simplify]: Simplify (/ 1 1) into 1
3.407 * [backup-simplify]: Simplify (+ 0 1) into 1
3.407 * [backup-simplify]: Simplify (sqrt 1) into 1
3.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.409 * [backup-simplify]: Simplify (+ 0 0) into 0
3.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.410 * [taylor]: Taking taylor expansion of 1 in im
3.410 * [backup-simplify]: Simplify 1 into 1
3.410 * [taylor]: Taking taylor expansion of 0 in im
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 1 into 1
3.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.412 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.414 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.414 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.414 * [taylor]: Taking taylor expansion of 1/2 in im
3.414 * [backup-simplify]: Simplify 1/2 into 1/2
3.414 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.414 * [taylor]: Taking taylor expansion of im in im
3.414 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify 1 into 1
3.414 * [backup-simplify]: Simplify (* 1 1) into 1
3.415 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.419 * [backup-simplify]: Simplify (+ 0 0) into 0
3.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.420 * [taylor]: Taking taylor expansion of 0 in im
3.420 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.422 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.422 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.423 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.423 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.423 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.423 * [taylor]: Taking taylor expansion of im in im
3.423 * [backup-simplify]: Simplify 0 into 0
3.423 * [backup-simplify]: Simplify 1 into 1
3.423 * [backup-simplify]: Simplify (* 1 1) into 1
3.424 * [backup-simplify]: Simplify (/ 1 1) into 1
3.424 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.424 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.424 * [taylor]: Taking taylor expansion of re in im
3.424 * [backup-simplify]: Simplify re into re
3.424 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.424 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.424 * [backup-simplify]: Simplify (+ 1 0) into 1
3.425 * [backup-simplify]: Simplify (sqrt 1) into 1
3.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.427 * [backup-simplify]: Simplify (+ 0 0) into 0
3.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.427 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.427 * [taylor]: Taking taylor expansion of im in re
3.428 * [backup-simplify]: Simplify im into im
3.428 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.428 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.428 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.428 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.428 * [taylor]: Taking taylor expansion of re in re
3.428 * [backup-simplify]: Simplify 0 into 0
3.428 * [backup-simplify]: Simplify 1 into 1
3.428 * [backup-simplify]: Simplify (* 1 1) into 1
3.429 * [backup-simplify]: Simplify (/ 1 1) into 1
3.429 * [backup-simplify]: Simplify (+ 0 1) into 1
3.430 * [backup-simplify]: Simplify (sqrt 1) into 1
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.431 * [backup-simplify]: Simplify (+ 0 0) into 0
3.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.436 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.436 * [taylor]: Taking taylor expansion of im in re
3.436 * [backup-simplify]: Simplify im into im
3.436 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.436 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.436 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.436 * [taylor]: Taking taylor expansion of re in re
3.437 * [backup-simplify]: Simplify 0 into 0
3.437 * [backup-simplify]: Simplify 1 into 1
3.437 * [backup-simplify]: Simplify (* 1 1) into 1
3.438 * [backup-simplify]: Simplify (/ 1 1) into 1
3.438 * [backup-simplify]: Simplify (+ 0 1) into 1
3.438 * [backup-simplify]: Simplify (sqrt 1) into 1
3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.440 * [backup-simplify]: Simplify (+ 0 0) into 0
3.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.441 * [taylor]: Taking taylor expansion of 1 in im
3.441 * [backup-simplify]: Simplify 1 into 1
3.441 * [taylor]: Taking taylor expansion of 0 in im
3.441 * [backup-simplify]: Simplify 0 into 0
3.441 * [backup-simplify]: Simplify 1 into 1
3.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.443 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.445 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.445 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im
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 1) into 1
3.446 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.449 * [backup-simplify]: Simplify (+ 0 0) into 0
3.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.450 * [taylor]: Taking taylor expansion of 0 in im
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
3.451 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.451 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.451 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.451 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.451 * [taylor]: Taking taylor expansion of re in im
3.451 * [backup-simplify]: Simplify re into re
3.451 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.451 * [taylor]: Taking taylor expansion of im in im
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 1 into 1
3.451 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.451 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.451 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.452 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.452 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.452 * [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 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.452 * [taylor]: Taking taylor expansion of im in re
3.452 * [backup-simplify]: Simplify im into im
3.452 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.452 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.452 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.452 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.453 * [backup-simplify]: Simplify (+ 0 0) into 0
3.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.453 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.453 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.453 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.453 * [taylor]: Taking taylor expansion of re in re
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 1 into 1
3.453 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.453 * [taylor]: Taking taylor expansion of im in re
3.453 * [backup-simplify]: Simplify im into im
3.453 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.453 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.453 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.453 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.453 * [backup-simplify]: Simplify (+ 0 0) into 0
3.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.454 * [taylor]: Taking taylor expansion of im in im
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 1 into 1
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [taylor]: Taking taylor expansion of 0 in im
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 1 into 1
3.454 * [backup-simplify]: Simplify (* 1 1) into 1
3.454 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.454 * [backup-simplify]: Simplify (+ 1 0) into 1
3.455 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.455 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.455 * [taylor]: Taking taylor expansion of 1/2 in im
3.455 * [backup-simplify]: Simplify 1/2 into 1/2
3.455 * [taylor]: Taking taylor expansion of im in im
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [backup-simplify]: Simplify 1 into 1
3.455 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.456 * [backup-simplify]: Simplify 0 into 0
3.456 * [backup-simplify]: Simplify 0 into 0
3.456 * [backup-simplify]: Simplify 0 into 0
3.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.457 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.457 * [backup-simplify]: Simplify (+ 0 0) into 0
3.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.457 * [taylor]: Taking taylor expansion of 0 in im
3.457 * [backup-simplify]: Simplify 0 into 0
3.457 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.458 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.458 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.458 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.458 * [taylor]: Taking taylor expansion of im in im
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify 1 into 1
3.458 * [backup-simplify]: Simplify (* 1 1) into 1
3.459 * [backup-simplify]: Simplify (/ 1 1) into 1
3.459 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.459 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.459 * [taylor]: Taking taylor expansion of re in im
3.459 * [backup-simplify]: Simplify re into re
3.459 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.459 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.459 * [backup-simplify]: Simplify (+ 1 0) into 1
3.460 * [backup-simplify]: Simplify (sqrt 1) into 1
3.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.461 * [backup-simplify]: Simplify (+ 0 0) into 0
3.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.461 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.461 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.461 * [taylor]: Taking taylor expansion of im in re
3.461 * [backup-simplify]: Simplify im into im
3.461 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.461 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.461 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.461 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.461 * [taylor]: Taking taylor expansion of re in re
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify 1 into 1
3.462 * [backup-simplify]: Simplify (* 1 1) into 1
3.462 * [backup-simplify]: Simplify (/ 1 1) into 1
3.462 * [backup-simplify]: Simplify (+ 0 1) into 1
3.462 * [backup-simplify]: Simplify (sqrt 1) into 1
3.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.463 * [backup-simplify]: Simplify (+ 0 0) into 0
3.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.464 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.464 * [taylor]: Taking taylor expansion of im in re
3.464 * [backup-simplify]: Simplify im into im
3.464 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.464 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.464 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.464 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.464 * [taylor]: Taking taylor expansion of re in re
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 1 into 1
3.464 * [backup-simplify]: Simplify (* 1 1) into 1
3.465 * [backup-simplify]: Simplify (/ 1 1) into 1
3.465 * [backup-simplify]: Simplify (+ 0 1) into 1
3.465 * [backup-simplify]: Simplify (sqrt 1) into 1
3.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.466 * [backup-simplify]: Simplify (+ 0 0) into 0
3.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.467 * [taylor]: Taking taylor expansion of 1 in im
3.467 * [backup-simplify]: Simplify 1 into 1
3.467 * [taylor]: Taking taylor expansion of 0 in im
3.467 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify 1 into 1
3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.468 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.469 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.469 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.469 * [taylor]: Taking taylor expansion of 1/2 in im
3.469 * [backup-simplify]: Simplify 1/2 into 1/2
3.469 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.469 * [taylor]: Taking taylor expansion of im in im
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 1 into 1
3.469 * [backup-simplify]: Simplify (* 1 1) into 1
3.469 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.472 * [backup-simplify]: Simplify (+ 0 0) into 0
3.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.472 * [taylor]: Taking taylor expansion of 0 in im
3.472 * [backup-simplify]: Simplify 0 into 0
3.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.473 * [backup-simplify]: Simplify 0 into 0
3.473 * [backup-simplify]: Simplify 0 into 0
3.473 * [backup-simplify]: Simplify 0 into 0
3.473 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.474 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.474 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.474 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.474 * [taylor]: Taking taylor expansion of im in im
3.474 * [backup-simplify]: Simplify 0 into 0
3.474 * [backup-simplify]: Simplify 1 into 1
3.474 * [backup-simplify]: Simplify (* 1 1) into 1
3.474 * [backup-simplify]: Simplify (/ 1 1) into 1
3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.474 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.474 * [taylor]: Taking taylor expansion of re in im
3.474 * [backup-simplify]: Simplify re into re
3.474 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.474 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.475 * [backup-simplify]: Simplify (+ 1 0) into 1
3.475 * [backup-simplify]: Simplify (sqrt 1) into 1
3.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.476 * [backup-simplify]: Simplify (+ 0 0) into 0
3.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.477 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.477 * [taylor]: Taking taylor expansion of im in re
3.477 * [backup-simplify]: Simplify im into im
3.477 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.477 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.477 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.477 * [taylor]: Taking taylor expansion of re in re
3.478 * [backup-simplify]: Simplify 0 into 0
3.478 * [backup-simplify]: Simplify 1 into 1
3.478 * [backup-simplify]: Simplify (* 1 1) into 1
3.478 * [backup-simplify]: Simplify (/ 1 1) into 1
3.479 * [backup-simplify]: Simplify (+ 0 1) into 1
3.479 * [backup-simplify]: Simplify (sqrt 1) into 1
3.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.481 * [backup-simplify]: Simplify (+ 0 0) into 0
3.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.482 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.482 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.482 * [taylor]: Taking taylor expansion of im in re
3.482 * [backup-simplify]: Simplify im into im
3.482 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.482 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.482 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.482 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.482 * [taylor]: Taking taylor expansion of re in re
3.482 * [backup-simplify]: Simplify 0 into 0
3.482 * [backup-simplify]: Simplify 1 into 1
3.483 * [backup-simplify]: Simplify (* 1 1) into 1
3.483 * [backup-simplify]: Simplify (/ 1 1) into 1
3.484 * [backup-simplify]: Simplify (+ 0 1) into 1
3.484 * [backup-simplify]: Simplify (sqrt 1) into 1
3.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.486 * [backup-simplify]: Simplify (+ 0 0) into 0
3.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.487 * [taylor]: Taking taylor expansion of 1 in im
3.487 * [backup-simplify]: Simplify 1 into 1
3.487 * [taylor]: Taking taylor expansion of 0 in im
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify 1 into 1
3.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.489 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.490 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.490 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.490 * [taylor]: Taking taylor expansion of 1/2 in im
3.490 * [backup-simplify]: Simplify 1/2 into 1/2
3.490 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.490 * [taylor]: Taking taylor expansion of im in im
3.490 * [backup-simplify]: Simplify 0 into 0
3.490 * [backup-simplify]: Simplify 1 into 1
3.491 * [backup-simplify]: Simplify (* 1 1) into 1
3.491 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.493 * [backup-simplify]: Simplify 0 into 0
3.493 * [backup-simplify]: Simplify 0 into 0
3.493 * [backup-simplify]: Simplify 0 into 0
3.493 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.496 * [backup-simplify]: Simplify (+ 0 0) into 0
3.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.496 * [taylor]: Taking taylor expansion of 0 in im
3.496 * [backup-simplify]: Simplify 0 into 0
3.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.498 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify 0 into 0
3.499 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.499 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1)
3.499 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
3.499 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
3.499 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
3.499 * [taylor]: Taking taylor expansion of re in im
3.499 * [backup-simplify]: Simplify re into re
3.499 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.499 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.499 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.499 * [taylor]: Taking taylor expansion of re in im
3.499 * [backup-simplify]: Simplify re into re
3.499 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.499 * [taylor]: Taking taylor expansion of im in im
3.499 * [backup-simplify]: Simplify 0 into 0
3.499 * [backup-simplify]: Simplify 1 into 1
3.499 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.500 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.500 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.500 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.500 * [backup-simplify]: Simplify (+ 0 0) into 0
3.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.500 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.500 * [taylor]: Taking taylor expansion of re in re
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.501 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.501 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.501 * [taylor]: Taking taylor expansion of re in re
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.501 * [taylor]: Taking taylor expansion of im in re
3.501 * [backup-simplify]: Simplify im into im
3.501 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.501 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.501 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.501 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.502 * [backup-simplify]: Simplify (+ 0 0) into 0
3.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.502 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.502 * [taylor]: Taking taylor expansion of re in re
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 1 into 1
3.502 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.502 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.502 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.502 * [taylor]: Taking taylor expansion of re in re
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 1 into 1
3.502 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.502 * [taylor]: Taking taylor expansion of im in re
3.502 * [backup-simplify]: Simplify im into im
3.502 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.503 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.503 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.503 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.503 * [backup-simplify]: Simplify (+ 0 0) into 0
3.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.504 * [backup-simplify]: Simplify (+ 0 im) into im
3.504 * [taylor]: Taking taylor expansion of im in im
3.504 * [backup-simplify]: Simplify 0 into 0
3.504 * [backup-simplify]: Simplify 1 into 1
3.504 * [backup-simplify]: Simplify 0 into 0
3.504 * [backup-simplify]: Simplify (+ 1 0) into 1
3.504 * [taylor]: Taking taylor expansion of 1 in im
3.504 * [backup-simplify]: Simplify 1 into 1
3.504 * [backup-simplify]: Simplify 1 into 1
3.504 * [backup-simplify]: Simplify 1 into 1
3.505 * [backup-simplify]: Simplify (* 1 1) into 1
3.505 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.505 * [backup-simplify]: Simplify (+ 1 0) into 1
3.506 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.506 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.506 * [taylor]: Taking taylor expansion of 1/2 in im
3.506 * [backup-simplify]: Simplify 1/2 into 1/2
3.506 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.507 * [taylor]: Taking taylor expansion of im in im
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [backup-simplify]: Simplify 1 into 1
3.507 * [backup-simplify]: Simplify (/ 1 1) into 1
3.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.508 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.510 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.511 * [backup-simplify]: Simplify (+ 0 0) into 0
3.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.511 * [backup-simplify]: Simplify (+ 0 0) into 0
3.511 * [taylor]: Taking taylor expansion of 0 in im
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify 0 into 0
3.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.514 * [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)))))
3.514 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.514 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.514 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.514 * [taylor]: Taking taylor expansion of re in im
3.514 * [backup-simplify]: Simplify re into re
3.514 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.514 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.514 * [taylor]: Taking taylor expansion of im in im
3.514 * [backup-simplify]: Simplify 0 into 0
3.514 * [backup-simplify]: Simplify 1 into 1
3.515 * [backup-simplify]: Simplify (* 1 1) into 1
3.515 * [backup-simplify]: Simplify (/ 1 1) into 1
3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.515 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.515 * [taylor]: Taking taylor expansion of re in im
3.515 * [backup-simplify]: Simplify re into re
3.515 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.515 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.516 * [backup-simplify]: Simplify (+ 1 0) into 1
3.516 * [backup-simplify]: Simplify (sqrt 1) into 1
3.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.518 * [backup-simplify]: Simplify (+ 0 0) into 0
3.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.519 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.519 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.519 * [taylor]: Taking taylor expansion of re in re
3.519 * [backup-simplify]: Simplify 0 into 0
3.519 * [backup-simplify]: Simplify 1 into 1
3.519 * [backup-simplify]: Simplify (/ 1 1) into 1
3.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.519 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.519 * [taylor]: Taking taylor expansion of im in re
3.519 * [backup-simplify]: Simplify im into im
3.520 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.520 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.520 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.520 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.520 * [taylor]: Taking taylor expansion of re in re
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify 1 into 1
3.520 * [backup-simplify]: Simplify (* 1 1) into 1
3.521 * [backup-simplify]: Simplify (/ 1 1) into 1
3.521 * [backup-simplify]: Simplify (+ 0 1) into 1
3.521 * [backup-simplify]: Simplify (sqrt 1) into 1
3.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.523 * [backup-simplify]: Simplify (+ 0 0) into 0
3.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.524 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.524 * [taylor]: Taking taylor expansion of re in re
3.524 * [backup-simplify]: Simplify 0 into 0
3.524 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify (/ 1 1) into 1
3.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.525 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.525 * [taylor]: Taking taylor expansion of im in re
3.525 * [backup-simplify]: Simplify im into im
3.525 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.525 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.525 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.525 * [taylor]: Taking taylor expansion of re in re
3.525 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify (* 1 1) into 1
3.526 * [backup-simplify]: Simplify (/ 1 1) into 1
3.526 * [backup-simplify]: Simplify (+ 0 1) into 1
3.527 * [backup-simplify]: Simplify (sqrt 1) into 1
3.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.528 * [backup-simplify]: Simplify (+ 0 0) into 0
3.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.530 * [backup-simplify]: Simplify (+ 1 1) into 2
3.530 * [taylor]: Taking taylor expansion of 2 in im
3.530 * [backup-simplify]: Simplify 2 into 2
3.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.531 * [backup-simplify]: Simplify (+ 0 0) into 0
3.531 * [taylor]: Taking taylor expansion of 0 in im
3.531 * [backup-simplify]: Simplify 0 into 0
3.531 * [backup-simplify]: Simplify 2 into 2
3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.534 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.535 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.535 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.535 * [taylor]: Taking taylor expansion of 1/2 in im
3.536 * [backup-simplify]: Simplify 1/2 into 1/2
3.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.536 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.536 * [taylor]: Taking taylor expansion of im in im
3.536 * [backup-simplify]: Simplify 0 into 0
3.536 * [backup-simplify]: Simplify 1 into 1
3.536 * [backup-simplify]: Simplify (* 1 1) into 1
3.536 * [backup-simplify]: Simplify (/ 1 1) into 1
3.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.539 * [backup-simplify]: Simplify 0 into 0
3.539 * [backup-simplify]: Simplify 0 into 0
3.539 * [backup-simplify]: Simplify 0 into 0
3.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.540 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.542 * [backup-simplify]: Simplify (+ 0 0) into 0
3.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.543 * [backup-simplify]: Simplify (+ 0 0) into 0
3.543 * [taylor]: Taking taylor expansion of 0 in im
3.544 * [backup-simplify]: Simplify 0 into 0
3.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.546 * [backup-simplify]: Simplify 0 into 0
3.546 * [backup-simplify]: Simplify 0 into 0
3.546 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.547 * [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))
3.547 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.547 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.547 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.547 * [taylor]: Taking taylor expansion of im in im
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 1 into 1
3.548 * [backup-simplify]: Simplify (* 1 1) into 1
3.548 * [backup-simplify]: Simplify (/ 1 1) into 1
3.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.548 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.548 * [taylor]: Taking taylor expansion of re in im
3.548 * [backup-simplify]: Simplify re into re
3.548 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.549 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.549 * [backup-simplify]: Simplify (+ 1 0) into 1
3.549 * [backup-simplify]: Simplify (sqrt 1) into 1
3.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.551 * [backup-simplify]: Simplify (+ 0 0) into 0
3.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.552 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.552 * [taylor]: Taking taylor expansion of re in im
3.552 * [backup-simplify]: Simplify re into re
3.552 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.552 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.552 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.552 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.552 * [taylor]: Taking taylor expansion of im in re
3.553 * [backup-simplify]: Simplify im into im
3.553 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.553 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.553 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.553 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.553 * [taylor]: Taking taylor expansion of re in re
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 1 into 1
3.553 * [backup-simplify]: Simplify (* 1 1) into 1
3.554 * [backup-simplify]: Simplify (/ 1 1) into 1
3.554 * [backup-simplify]: Simplify (+ 0 1) into 1
3.555 * [backup-simplify]: Simplify (sqrt 1) into 1
3.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.556 * [backup-simplify]: Simplify (+ 0 0) into 0
3.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.557 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.557 * [taylor]: Taking taylor expansion of re in re
3.557 * [backup-simplify]: Simplify 0 into 0
3.557 * [backup-simplify]: Simplify 1 into 1
3.557 * [backup-simplify]: Simplify (/ 1 1) into 1
3.558 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.558 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.558 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.558 * [taylor]: Taking taylor expansion of im in re
3.558 * [backup-simplify]: Simplify im into im
3.558 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.558 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.558 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.558 * [taylor]: Taking taylor expansion of re in re
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify 1 into 1
3.559 * [backup-simplify]: Simplify (* 1 1) into 1
3.559 * [backup-simplify]: Simplify (/ 1 1) into 1
3.559 * [backup-simplify]: Simplify (+ 0 1) into 1
3.560 * [backup-simplify]: Simplify (sqrt 1) into 1
3.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.561 * [backup-simplify]: Simplify (+ 0 0) into 0
3.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.562 * [taylor]: Taking taylor expansion of re in re
3.562 * [backup-simplify]: Simplify 0 into 0
3.562 * [backup-simplify]: Simplify 1 into 1
3.563 * [backup-simplify]: Simplify (/ 1 1) into 1
3.563 * [backup-simplify]: Simplify (- 1) into -1
3.564 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.564 * [taylor]: Taking taylor expansion of 0 in im
3.564 * [backup-simplify]: Simplify 0 into 0
3.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.565 * [backup-simplify]: Simplify (- 0) into 0
3.565 * [backup-simplify]: Simplify (+ 0 0) into 0
3.565 * [taylor]: Taking taylor expansion of 0 in im
3.565 * [backup-simplify]: Simplify 0 into 0
3.565 * [backup-simplify]: Simplify 0 into 0
3.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.567 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.569 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.574 * [backup-simplify]: Simplify (- 0) into 0
3.574 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.574 * [taylor]: Taking taylor expansion of 1/2 in im
3.574 * [backup-simplify]: Simplify 1/2 into 1/2
3.574 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.574 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.574 * [taylor]: Taking taylor expansion of im in im
3.575 * [backup-simplify]: Simplify 0 into 0
3.575 * [backup-simplify]: Simplify 1 into 1
3.575 * [backup-simplify]: Simplify (* 1 1) into 1
3.576 * [backup-simplify]: Simplify (/ 1 1) into 1
3.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.579 * [backup-simplify]: Simplify (+ 0 0) into 0
3.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.580 * [backup-simplify]: Simplify (- 0) into 0
3.580 * [backup-simplify]: Simplify (+ 0 0) into 0
3.580 * [taylor]: Taking taylor expansion of 0 in im
3.580 * [backup-simplify]: Simplify 0 into 0
3.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
3.582 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
3.582 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
3.582 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
3.582 * [taylor]: Taking taylor expansion of re in im
3.582 * [backup-simplify]: Simplify re into re
3.582 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.582 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.582 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.582 * [taylor]: Taking taylor expansion of re in im
3.582 * [backup-simplify]: Simplify re into re
3.582 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.582 * [taylor]: Taking taylor expansion of im in im
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify 1 into 1
3.582 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.582 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.582 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.582 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.583 * [backup-simplify]: Simplify (+ 0 0) into 0
3.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.583 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.583 * [taylor]: Taking taylor expansion of re in re
3.583 * [backup-simplify]: Simplify 0 into 0
3.583 * [backup-simplify]: Simplify 1 into 1
3.583 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.583 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.583 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.583 * [taylor]: Taking taylor expansion of re in re
3.583 * [backup-simplify]: Simplify 0 into 0
3.583 * [backup-simplify]: Simplify 1 into 1
3.583 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.583 * [taylor]: Taking taylor expansion of im in re
3.583 * [backup-simplify]: Simplify im into im
3.583 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.583 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.583 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.583 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.583 * [backup-simplify]: Simplify (+ 0 0) into 0
3.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.584 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.584 * [taylor]: Taking taylor expansion of re in re
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify 1 into 1
3.584 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.584 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.584 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.584 * [taylor]: Taking taylor expansion of re in re
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify 1 into 1
3.584 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.584 * [taylor]: Taking taylor expansion of im in re
3.584 * [backup-simplify]: Simplify im into im
3.584 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.584 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.584 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.584 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.584 * [backup-simplify]: Simplify (+ 0 0) into 0
3.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.585 * [backup-simplify]: Simplify (+ 0 im) into im
3.585 * [taylor]: Taking taylor expansion of im in im
3.585 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify 1 into 1
3.585 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify (+ 1 0) into 1
3.585 * [taylor]: Taking taylor expansion of 1 in im
3.585 * [backup-simplify]: Simplify 1 into 1
3.585 * [backup-simplify]: Simplify 1 into 1
3.585 * [backup-simplify]: Simplify 1 into 1
3.585 * [backup-simplify]: Simplify (* 1 1) into 1
3.586 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.586 * [backup-simplify]: Simplify (+ 1 0) into 1
3.586 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.586 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.586 * [taylor]: Taking taylor expansion of 1/2 in im
3.586 * [backup-simplify]: Simplify 1/2 into 1/2
3.586 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.586 * [taylor]: Taking taylor expansion of im in im
3.586 * [backup-simplify]: Simplify 0 into 0
3.586 * [backup-simplify]: Simplify 1 into 1
3.587 * [backup-simplify]: Simplify (/ 1 1) into 1
3.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.588 * [backup-simplify]: Simplify 0 into 0
3.588 * [backup-simplify]: Simplify 0 into 0
3.588 * [backup-simplify]: Simplify 0 into 0
3.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.588 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.589 * [backup-simplify]: Simplify (+ 0 0) into 0
3.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.589 * [backup-simplify]: Simplify (+ 0 0) into 0
3.589 * [taylor]: Taking taylor expansion of 0 in im
3.589 * [backup-simplify]: Simplify 0 into 0
3.589 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.590 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.591 * [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)))))
3.591 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.591 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.591 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.591 * [taylor]: Taking taylor expansion of re in im
3.591 * [backup-simplify]: Simplify re into re
3.591 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.591 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.591 * [taylor]: Taking taylor expansion of im in im
3.591 * [backup-simplify]: Simplify 0 into 0
3.591 * [backup-simplify]: Simplify 1 into 1
3.591 * [backup-simplify]: Simplify (* 1 1) into 1
3.591 * [backup-simplify]: Simplify (/ 1 1) into 1
3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.591 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.591 * [taylor]: Taking taylor expansion of re in im
3.591 * [backup-simplify]: Simplify re into re
3.592 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.592 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.592 * [backup-simplify]: Simplify (+ 1 0) into 1
3.592 * [backup-simplify]: Simplify (sqrt 1) into 1
3.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.593 * [backup-simplify]: Simplify (+ 0 0) into 0
3.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.594 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.594 * [taylor]: Taking taylor expansion of re in re
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 1 into 1
3.594 * [backup-simplify]: Simplify (/ 1 1) into 1
3.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.594 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.594 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.594 * [taylor]: Taking taylor expansion of im in re
3.594 * [backup-simplify]: Simplify im into im
3.594 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.594 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.594 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.594 * [taylor]: Taking taylor expansion of re in re
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 1 into 1
3.595 * [backup-simplify]: Simplify (* 1 1) into 1
3.595 * [backup-simplify]: Simplify (/ 1 1) into 1
3.595 * [backup-simplify]: Simplify (+ 0 1) into 1
3.595 * [backup-simplify]: Simplify (sqrt 1) into 1
3.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.596 * [backup-simplify]: Simplify (+ 0 0) into 0
3.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.597 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.597 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.597 * [taylor]: Taking taylor expansion of re in re
3.597 * [backup-simplify]: Simplify 0 into 0
3.597 * [backup-simplify]: Simplify 1 into 1
3.597 * [backup-simplify]: Simplify (/ 1 1) into 1
3.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.597 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.597 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.597 * [taylor]: Taking taylor expansion of im in re
3.597 * [backup-simplify]: Simplify im into im
3.597 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.597 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.597 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.597 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.597 * [taylor]: Taking taylor expansion of re in re
3.597 * [backup-simplify]: Simplify 0 into 0
3.597 * [backup-simplify]: Simplify 1 into 1
3.598 * [backup-simplify]: Simplify (* 1 1) into 1
3.598 * [backup-simplify]: Simplify (/ 1 1) into 1
3.598 * [backup-simplify]: Simplify (+ 0 1) into 1
3.598 * [backup-simplify]: Simplify (sqrt 1) into 1
3.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.599 * [backup-simplify]: Simplify (+ 0 0) into 0
3.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.600 * [backup-simplify]: Simplify (+ 1 1) into 2
3.600 * [taylor]: Taking taylor expansion of 2 in im
3.600 * [backup-simplify]: Simplify 2 into 2
3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.601 * [backup-simplify]: Simplify (+ 0 0) into 0
3.601 * [taylor]: Taking taylor expansion of 0 in im
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 2 into 2
3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.603 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.603 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.603 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.604 * [taylor]: Taking taylor expansion of 1/2 in im
3.604 * [backup-simplify]: Simplify 1/2 into 1/2
3.604 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.604 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.604 * [taylor]: Taking taylor expansion of im in im
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify 1 into 1
3.604 * [backup-simplify]: Simplify (* 1 1) into 1
3.604 * [backup-simplify]: Simplify (/ 1 1) into 1
3.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify 0 into 0
3.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.606 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.608 * [backup-simplify]: Simplify (+ 0 0) into 0
3.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.608 * [backup-simplify]: Simplify (+ 0 0) into 0
3.608 * [taylor]: Taking taylor expansion of 0 in im
3.608 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.610 * [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))
3.610 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.610 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.610 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.610 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.610 * [taylor]: Taking taylor expansion of im in im
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 1 into 1
3.611 * [backup-simplify]: Simplify (* 1 1) into 1
3.611 * [backup-simplify]: Simplify (/ 1 1) into 1
3.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.611 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.611 * [taylor]: Taking taylor expansion of re in im
3.611 * [backup-simplify]: Simplify re into re
3.611 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.611 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.611 * [backup-simplify]: Simplify (+ 1 0) into 1
3.612 * [backup-simplify]: Simplify (sqrt 1) into 1
3.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.613 * [backup-simplify]: Simplify (+ 0 0) into 0
3.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.613 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.613 * [taylor]: Taking taylor expansion of re in im
3.613 * [backup-simplify]: Simplify re into re
3.613 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.613 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.613 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.613 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.613 * [taylor]: Taking taylor expansion of im in re
3.613 * [backup-simplify]: Simplify im into im
3.613 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.614 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.614 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.614 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.614 * [taylor]: Taking taylor expansion of re in re
3.614 * [backup-simplify]: Simplify 0 into 0
3.614 * [backup-simplify]: Simplify 1 into 1
3.614 * [backup-simplify]: Simplify (* 1 1) into 1
3.614 * [backup-simplify]: Simplify (/ 1 1) into 1
3.614 * [backup-simplify]: Simplify (+ 0 1) into 1
3.615 * [backup-simplify]: Simplify (sqrt 1) into 1
3.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.616 * [backup-simplify]: Simplify (+ 0 0) into 0
3.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.616 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.616 * [taylor]: Taking taylor expansion of re in re
3.616 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify 1 into 1
3.616 * [backup-simplify]: Simplify (/ 1 1) into 1
3.616 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.616 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.616 * [taylor]: Taking taylor expansion of im in re
3.616 * [backup-simplify]: Simplify im into im
3.616 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.617 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.617 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.617 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.617 * [taylor]: Taking taylor expansion of re in re
3.617 * [backup-simplify]: Simplify 0 into 0
3.617 * [backup-simplify]: Simplify 1 into 1
3.617 * [backup-simplify]: Simplify (* 1 1) into 1
3.617 * [backup-simplify]: Simplify (/ 1 1) into 1
3.617 * [backup-simplify]: Simplify (+ 0 1) into 1
3.618 * [backup-simplify]: Simplify (sqrt 1) into 1
3.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.619 * [backup-simplify]: Simplify (+ 0 0) into 0
3.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.619 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.619 * [taylor]: Taking taylor expansion of re in re
3.619 * [backup-simplify]: Simplify 0 into 0
3.619 * [backup-simplify]: Simplify 1 into 1
3.619 * [backup-simplify]: Simplify (/ 1 1) into 1
3.620 * [backup-simplify]: Simplify (- 1) into -1
3.620 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.620 * [taylor]: Taking taylor expansion of 0 in im
3.620 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.621 * [backup-simplify]: Simplify (- 0) into 0
3.621 * [backup-simplify]: Simplify (+ 0 0) into 0
3.621 * [taylor]: Taking taylor expansion of 0 in im
3.621 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify 0 into 0
3.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.622 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.623 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.624 * [backup-simplify]: Simplify (- 0) into 0
3.624 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.624 * [taylor]: Taking taylor expansion of 1/2 in im
3.624 * [backup-simplify]: Simplify 1/2 into 1/2
3.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.624 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.624 * [taylor]: Taking taylor expansion of im in im
3.624 * [backup-simplify]: Simplify 0 into 0
3.624 * [backup-simplify]: Simplify 1 into 1
3.624 * [backup-simplify]: Simplify (* 1 1) into 1
3.625 * [backup-simplify]: Simplify (/ 1 1) into 1
3.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.626 * [backup-simplify]: Simplify 0 into 0
3.626 * [backup-simplify]: Simplify 0 into 0
3.626 * [backup-simplify]: Simplify 0 into 0
3.626 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.628 * [backup-simplify]: Simplify (+ 0 0) into 0
3.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.629 * [backup-simplify]: Simplify (- 0) into 0
3.629 * [backup-simplify]: Simplify (+ 0 0) into 0
3.629 * [taylor]: Taking taylor expansion of 0 in im
3.629 * [backup-simplify]: Simplify 0 into 0
3.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * * * [progress]: simplifying candidates
3.632 * [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 (+ (* 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)
  (* (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)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
3.633 * * [simplify]: Extracting # 0 : cost  0
3.633 * * [simplify]: Extracting # 1 : cost  0
3.633 * * [simplify]: Extracting # 2 : cost  0
3.633 * * [simplify]: Extracting # 3 : cost  0
3.633 * * [simplify]: Extracting # 4 : cost  0
3.633 * * [simplify]: Extracting # 5 : cost  0
3.633 * * [simplify]: Extracting # 6 : cost  0
3.633 * * [simplify]: iteration  0 :  59  enodes  (cost  858 )
3.645 * * [simplify]: Extracting # 0 : cost  0
3.645 * * [simplify]: Extracting # 1 : cost  0
3.645 * * [simplify]: Extracting # 2 : cost  0
3.645 * * [simplify]: Extracting # 3 : cost  0
3.645 * * [simplify]: Extracting # 4 : cost  0
3.646 * * [simplify]: iteration  1 :  143  enodes  (cost  738 )
3.681 * * [simplify]: Extracting # 0 : cost  0
3.681 * * [simplify]: Extracting # 1 : cost  0
3.682 * * [simplify]: Extracting # 2 : cost  0
3.682 * * [simplify]: Extracting # 3 : cost  0
3.682 * * [simplify]: Extracting # 4 : cost  0
3.683 * * [simplify]: iteration  2 :  356  enodes  (cost  678 )
3.866 * * [simplify]: Extracting # 0 : cost  0
3.868 * * [simplify]: Extracting # 1 : cost  0
3.869 * * [simplify]: Extracting # 2 : cost  0
3.871 * * [simplify]: Extracting # 3 : cost  0
3.872 * * [simplify]: Extracting # 4 : cost  0
3.879 * * [simplify]: iteration  3 :  799  enodes  (cost  658 )
4.416 * * [simplify]: Extracting # 0 : cost  0
4.427 * * [simplify]: Extracting # 1 : cost  0
4.431 * * [simplify]: Extracting # 2 : cost  0
4.434 * * [simplify]: Extracting # 3 : cost  0
4.438 * * [simplify]: Extracting # 4 : cost  0
4.441 * * [simplify]: iteration  4 :  2089  enodes  (cost  654 )
5.385 * * [simplify]: Extracting # 0 : cost  0
5.391 * * [simplify]: Extracting # 1 : cost  0
5.403 * * [simplify]: Extracting # 2 : cost  0
5.414 * * [simplify]: Extracting # 3 : cost  0
5.425 * * [simplify]: Extracting # 4 : cost  0
5.442 * * [simplify]: iteration done:  5002  enodes  (cost  654 )
5.443 * [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 (+ (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))
  (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))
  (pow im 2)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (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))
  (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))
  (pow im 2)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  (+ re im)
  (+ re re)
  0
5.444 * * * [progress]: adding candidates to table
5.746 * * [progress]: iteration 3 / 4
5.746 * * * [progress]: picking best candidate
5.776 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
5.776 * * * [progress]: localizing error
5.810 * * * [progress]: generating rewritten candidates
5.810 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
5.824 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
5.833 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
5.873 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
5.949 * * * [progress]: generating series expansions
5.950 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
5.950 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
5.950 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.950 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.950 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.950 * [taylor]: Taking taylor expansion of re in im
5.950 * [backup-simplify]: Simplify re into re
5.950 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.950 * [taylor]: Taking taylor expansion of im in im
5.950 * [backup-simplify]: Simplify 0 into 0
5.950 * [backup-simplify]: Simplify 1 into 1
5.950 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.950 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.951 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.951 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.951 * [backup-simplify]: Simplify (+ 0 0) into 0
5.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.952 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.952 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.952 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.952 * [taylor]: Taking taylor expansion of re in re
5.952 * [backup-simplify]: Simplify 0 into 0
5.952 * [backup-simplify]: Simplify 1 into 1
5.952 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.952 * [taylor]: Taking taylor expansion of im in re
5.952 * [backup-simplify]: Simplify im into im
5.952 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.952 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.952 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.952 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.953 * [backup-simplify]: Simplify (+ 0 0) into 0
5.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.953 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.953 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.953 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.953 * [taylor]: Taking taylor expansion of re in re
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [backup-simplify]: Simplify 1 into 1
5.953 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.953 * [taylor]: Taking taylor expansion of im in re
5.953 * [backup-simplify]: Simplify im into im
5.953 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.954 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.954 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.954 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.954 * [backup-simplify]: Simplify (+ 0 0) into 0
5.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.954 * [taylor]: Taking taylor expansion of im in im
5.954 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify 1 into 1
5.955 * [backup-simplify]: Simplify 0 into 0
5.955 * [taylor]: Taking taylor expansion of 0 in im
5.955 * [backup-simplify]: Simplify 0 into 0
5.955 * [backup-simplify]: Simplify 0 into 0
5.955 * [backup-simplify]: Simplify 1 into 1
5.955 * [backup-simplify]: Simplify (* 1 1) into 1
5.956 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.956 * [backup-simplify]: Simplify (+ 1 0) into 1
5.956 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.956 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.956 * [taylor]: Taking taylor expansion of 1/2 in im
5.956 * [backup-simplify]: Simplify 1/2 into 1/2
5.956 * [taylor]: Taking taylor expansion of im in im
5.956 * [backup-simplify]: Simplify 0 into 0
5.956 * [backup-simplify]: Simplify 1 into 1
5.957 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.957 * [backup-simplify]: Simplify 0 into 0
5.957 * [backup-simplify]: Simplify 0 into 0
5.957 * [backup-simplify]: Simplify 0 into 0
5.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.958 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.958 * [backup-simplify]: Simplify (+ 0 0) into 0
5.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.958 * [taylor]: Taking taylor expansion of 0 in im
5.958 * [backup-simplify]: Simplify 0 into 0
5.958 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.959 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.959 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.959 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.959 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.959 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.960 * [taylor]: Taking taylor expansion of im in im
5.960 * [backup-simplify]: Simplify 0 into 0
5.960 * [backup-simplify]: Simplify 1 into 1
5.960 * [backup-simplify]: Simplify (* 1 1) into 1
5.960 * [backup-simplify]: Simplify (/ 1 1) into 1
5.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.960 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.960 * [taylor]: Taking taylor expansion of re in im
5.960 * [backup-simplify]: Simplify re into re
5.960 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.960 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.961 * [backup-simplify]: Simplify (+ 1 0) into 1
5.961 * [backup-simplify]: Simplify (sqrt 1) into 1
5.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.962 * [backup-simplify]: Simplify (+ 0 0) into 0
5.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.962 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.962 * [taylor]: Taking taylor expansion of im in re
5.962 * [backup-simplify]: Simplify im into im
5.962 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.963 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.963 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.963 * [taylor]: Taking taylor expansion of re in re
5.963 * [backup-simplify]: Simplify 0 into 0
5.963 * [backup-simplify]: Simplify 1 into 1
5.963 * [backup-simplify]: Simplify (* 1 1) into 1
5.963 * [backup-simplify]: Simplify (/ 1 1) into 1
5.963 * [backup-simplify]: Simplify (+ 0 1) into 1
5.964 * [backup-simplify]: Simplify (sqrt 1) into 1
5.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.965 * [backup-simplify]: Simplify (+ 0 0) into 0
5.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.965 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.965 * [taylor]: Taking taylor expansion of im in re
5.965 * [backup-simplify]: Simplify im into im
5.965 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.965 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.965 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.965 * [taylor]: Taking taylor expansion of re in re
5.965 * [backup-simplify]: Simplify 0 into 0
5.965 * [backup-simplify]: Simplify 1 into 1
5.966 * [backup-simplify]: Simplify (* 1 1) into 1
5.966 * [backup-simplify]: Simplify (/ 1 1) into 1
5.966 * [backup-simplify]: Simplify (+ 0 1) into 1
5.966 * [backup-simplify]: Simplify (sqrt 1) into 1
5.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.967 * [backup-simplify]: Simplify (+ 0 0) into 0
5.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.968 * [taylor]: Taking taylor expansion of 1 in im
5.968 * [backup-simplify]: Simplify 1 into 1
5.968 * [taylor]: Taking taylor expansion of 0 in im
5.968 * [backup-simplify]: Simplify 0 into 0
5.968 * [backup-simplify]: Simplify 1 into 1
5.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.969 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.970 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.970 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.970 * [taylor]: Taking taylor expansion of 1/2 in im
5.970 * [backup-simplify]: Simplify 1/2 into 1/2
5.970 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.970 * [taylor]: Taking taylor expansion of im in im
5.970 * [backup-simplify]: Simplify 0 into 0
5.970 * [backup-simplify]: Simplify 1 into 1
5.970 * [backup-simplify]: Simplify (* 1 1) into 1
5.971 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.971 * [backup-simplify]: Simplify 0 into 0
5.971 * [backup-simplify]: Simplify 0 into 0
5.971 * [backup-simplify]: Simplify 0 into 0
5.972 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.973 * [backup-simplify]: Simplify (+ 0 0) into 0
5.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.973 * [taylor]: Taking taylor expansion of 0 in im
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.975 * [backup-simplify]: Simplify 0 into 0
5.975 * [backup-simplify]: Simplify 0 into 0
5.975 * [backup-simplify]: Simplify 0 into 0
5.975 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.975 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.975 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.975 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.975 * [taylor]: Taking taylor expansion of im in im
5.975 * [backup-simplify]: Simplify 0 into 0
5.975 * [backup-simplify]: Simplify 1 into 1
5.975 * [backup-simplify]: Simplify (* 1 1) into 1
5.976 * [backup-simplify]: Simplify (/ 1 1) into 1
5.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.976 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.976 * [taylor]: Taking taylor expansion of re in im
5.976 * [backup-simplify]: Simplify re into re
5.976 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.976 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.976 * [backup-simplify]: Simplify (+ 1 0) into 1
5.976 * [backup-simplify]: Simplify (sqrt 1) into 1
5.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.977 * [backup-simplify]: Simplify (+ 0 0) into 0
5.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.978 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.978 * [taylor]: Taking taylor expansion of im in re
5.978 * [backup-simplify]: Simplify im into im
5.978 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.978 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.978 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.978 * [taylor]: Taking taylor expansion of re in re
5.978 * [backup-simplify]: Simplify 0 into 0
5.978 * [backup-simplify]: Simplify 1 into 1
5.981 * [backup-simplify]: Simplify (* 1 1) into 1
5.982 * [backup-simplify]: Simplify (/ 1 1) into 1
5.982 * [backup-simplify]: Simplify (+ 0 1) into 1
5.982 * [backup-simplify]: Simplify (sqrt 1) into 1
5.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.983 * [backup-simplify]: Simplify (+ 0 0) into 0
5.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.984 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.984 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.984 * [taylor]: Taking taylor expansion of im in re
5.984 * [backup-simplify]: Simplify im into im
5.984 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.984 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.984 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.984 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.984 * [taylor]: Taking taylor expansion of re in re
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify 1 into 1
5.984 * [backup-simplify]: Simplify (* 1 1) into 1
5.985 * [backup-simplify]: Simplify (/ 1 1) into 1
5.985 * [backup-simplify]: Simplify (+ 0 1) into 1
5.985 * [backup-simplify]: Simplify (sqrt 1) into 1
5.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.986 * [backup-simplify]: Simplify (+ 0 0) into 0
5.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.987 * [taylor]: Taking taylor expansion of 1 in im
5.987 * [backup-simplify]: Simplify 1 into 1
5.987 * [taylor]: Taking taylor expansion of 0 in im
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 1 into 1
5.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.988 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.989 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.989 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.989 * [taylor]: Taking taylor expansion of 1/2 in im
5.989 * [backup-simplify]: Simplify 1/2 into 1/2
5.989 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.989 * [taylor]: Taking taylor expansion of im in im
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify 1 into 1
5.989 * [backup-simplify]: Simplify (* 1 1) into 1
5.989 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.990 * [backup-simplify]: Simplify 0 into 0
5.990 * [backup-simplify]: Simplify 0 into 0
5.990 * [backup-simplify]: Simplify 0 into 0
5.990 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.992 * [backup-simplify]: Simplify (+ 0 0) into 0
5.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.992 * [taylor]: Taking taylor expansion of 0 in im
5.992 * [backup-simplify]: Simplify 0 into 0
5.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.994 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.994 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
5.994 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
5.994 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.994 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.994 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.994 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.994 * [taylor]: Taking taylor expansion of re in im
5.994 * [backup-simplify]: Simplify re into re
5.994 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.994 * [taylor]: Taking taylor expansion of im in im
5.994 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify 1 into 1
5.994 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.995 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.995 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.995 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.995 * [backup-simplify]: Simplify (+ 0 0) into 0
5.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.995 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.995 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.995 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.995 * [taylor]: Taking taylor expansion of re in re
5.995 * [backup-simplify]: Simplify 0 into 0
5.995 * [backup-simplify]: Simplify 1 into 1
5.995 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.995 * [taylor]: Taking taylor expansion of im in re
5.995 * [backup-simplify]: Simplify im into im
5.995 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.995 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.995 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.996 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.996 * [backup-simplify]: Simplify (+ 0 0) into 0
5.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.996 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.996 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.996 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.996 * [taylor]: Taking taylor expansion of re in re
5.996 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify 1 into 1
5.996 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.996 * [taylor]: Taking taylor expansion of im in re
5.996 * [backup-simplify]: Simplify im into im
5.996 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.996 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.996 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.996 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.997 * [backup-simplify]: Simplify (+ 0 0) into 0
5.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.997 * [taylor]: Taking taylor expansion of im in im
5.997 * [backup-simplify]: Simplify 0 into 0
5.997 * [backup-simplify]: Simplify 1 into 1
5.997 * [backup-simplify]: Simplify 0 into 0
5.997 * [taylor]: Taking taylor expansion of 0 in im
5.997 * [backup-simplify]: Simplify 0 into 0
5.997 * [backup-simplify]: Simplify 0 into 0
5.997 * [backup-simplify]: Simplify 1 into 1
5.997 * [backup-simplify]: Simplify (* 1 1) into 1
5.997 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.998 * [backup-simplify]: Simplify (+ 1 0) into 1
5.998 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.998 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.998 * [taylor]: Taking taylor expansion of 1/2 in im
5.998 * [backup-simplify]: Simplify 1/2 into 1/2
5.998 * [taylor]: Taking taylor expansion of im in im
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify 1 into 1
5.998 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.999 * [backup-simplify]: Simplify 0 into 0
5.999 * [backup-simplify]: Simplify 0 into 0
5.999 * [backup-simplify]: Simplify 0 into 0
5.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.000 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.000 * [backup-simplify]: Simplify (+ 0 0) into 0
6.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.000 * [taylor]: Taking taylor expansion of 0 in im
6.000 * [backup-simplify]: Simplify 0 into 0
6.000 * [backup-simplify]: Simplify 0 into 0
6.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.001 * [backup-simplify]: Simplify 0 into 0
6.001 * [backup-simplify]: Simplify 0 into 0
6.001 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.001 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.001 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.001 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.001 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.001 * [taylor]: Taking taylor expansion of im in im
6.001 * [backup-simplify]: Simplify 0 into 0
6.001 * [backup-simplify]: Simplify 1 into 1
6.002 * [backup-simplify]: Simplify (* 1 1) into 1
6.002 * [backup-simplify]: Simplify (/ 1 1) into 1
6.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.002 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.002 * [taylor]: Taking taylor expansion of re in im
6.002 * [backup-simplify]: Simplify re into re
6.002 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.002 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.002 * [backup-simplify]: Simplify (+ 1 0) into 1
6.003 * [backup-simplify]: Simplify (sqrt 1) into 1
6.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.004 * [backup-simplify]: Simplify (+ 0 0) into 0
6.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.004 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.004 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.004 * [taylor]: Taking taylor expansion of im in re
6.004 * [backup-simplify]: Simplify im into im
6.004 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.004 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.004 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.004 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.004 * [taylor]: Taking taylor expansion of re in re
6.004 * [backup-simplify]: Simplify 0 into 0
6.004 * [backup-simplify]: Simplify 1 into 1
6.005 * [backup-simplify]: Simplify (* 1 1) into 1
6.005 * [backup-simplify]: Simplify (/ 1 1) into 1
6.005 * [backup-simplify]: Simplify (+ 0 1) into 1
6.005 * [backup-simplify]: Simplify (sqrt 1) into 1
6.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.006 * [backup-simplify]: Simplify (+ 0 0) into 0
6.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.007 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.007 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.007 * [taylor]: Taking taylor expansion of im in re
6.007 * [backup-simplify]: Simplify im into im
6.007 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.007 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.007 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.007 * [taylor]: Taking taylor expansion of re in re
6.007 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify 1 into 1
6.007 * [backup-simplify]: Simplify (* 1 1) into 1
6.008 * [backup-simplify]: Simplify (/ 1 1) into 1
6.008 * [backup-simplify]: Simplify (+ 0 1) into 1
6.008 * [backup-simplify]: Simplify (sqrt 1) into 1
6.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.009 * [backup-simplify]: Simplify (+ 0 0) into 0
6.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.010 * [taylor]: Taking taylor expansion of 1 in im
6.010 * [backup-simplify]: Simplify 1 into 1
6.010 * [taylor]: Taking taylor expansion of 0 in im
6.010 * [backup-simplify]: Simplify 0 into 0
6.010 * [backup-simplify]: Simplify 1 into 1
6.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.011 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.012 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.012 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.012 * [taylor]: Taking taylor expansion of 1/2 in im
6.012 * [backup-simplify]: Simplify 1/2 into 1/2
6.012 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.012 * [taylor]: Taking taylor expansion of im in im
6.012 * [backup-simplify]: Simplify 0 into 0
6.012 * [backup-simplify]: Simplify 1 into 1
6.012 * [backup-simplify]: Simplify (* 1 1) into 1
6.012 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.015 * [backup-simplify]: Simplify (+ 0 0) into 0
6.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.015 * [taylor]: Taking taylor expansion of 0 in im
6.015 * [backup-simplify]: Simplify 0 into 0
6.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.016 * [backup-simplify]: Simplify 0 into 0
6.016 * [backup-simplify]: Simplify 0 into 0
6.016 * [backup-simplify]: Simplify 0 into 0
6.016 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.017 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.017 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.017 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.017 * [taylor]: Taking taylor expansion of im in im
6.017 * [backup-simplify]: Simplify 0 into 0
6.017 * [backup-simplify]: Simplify 1 into 1
6.017 * [backup-simplify]: Simplify (* 1 1) into 1
6.017 * [backup-simplify]: Simplify (/ 1 1) into 1
6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.017 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.017 * [taylor]: Taking taylor expansion of re in im
6.017 * [backup-simplify]: Simplify re into re
6.017 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.018 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.018 * [backup-simplify]: Simplify (+ 1 0) into 1
6.018 * [backup-simplify]: Simplify (sqrt 1) into 1
6.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.019 * [backup-simplify]: Simplify (+ 0 0) into 0
6.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.020 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.020 * [taylor]: Taking taylor expansion of im in re
6.020 * [backup-simplify]: Simplify im into im
6.020 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.020 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.020 * [taylor]: Taking taylor expansion of re in re
6.020 * [backup-simplify]: Simplify 0 into 0
6.020 * [backup-simplify]: Simplify 1 into 1
6.020 * [backup-simplify]: Simplify (* 1 1) into 1
6.020 * [backup-simplify]: Simplify (/ 1 1) into 1
6.021 * [backup-simplify]: Simplify (+ 0 1) into 1
6.021 * [backup-simplify]: Simplify (sqrt 1) into 1
6.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.022 * [backup-simplify]: Simplify (+ 0 0) into 0
6.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.022 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.022 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.022 * [taylor]: Taking taylor expansion of im in re
6.022 * [backup-simplify]: Simplify im into im
6.022 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.023 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.023 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.023 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.023 * [taylor]: Taking taylor expansion of re in re
6.023 * [backup-simplify]: Simplify 0 into 0
6.023 * [backup-simplify]: Simplify 1 into 1
6.023 * [backup-simplify]: Simplify (* 1 1) into 1
6.023 * [backup-simplify]: Simplify (/ 1 1) into 1
6.023 * [backup-simplify]: Simplify (+ 0 1) into 1
6.024 * [backup-simplify]: Simplify (sqrt 1) into 1
6.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.025 * [backup-simplify]: Simplify (+ 0 0) into 0
6.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.025 * [taylor]: Taking taylor expansion of 1 in im
6.025 * [backup-simplify]: Simplify 1 into 1
6.025 * [taylor]: Taking taylor expansion of 0 in im
6.025 * [backup-simplify]: Simplify 0 into 0
6.025 * [backup-simplify]: Simplify 1 into 1
6.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.026 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.027 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.027 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.027 * [taylor]: Taking taylor expansion of 1/2 in im
6.027 * [backup-simplify]: Simplify 1/2 into 1/2
6.027 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.027 * [taylor]: Taking taylor expansion of im in im
6.027 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify 1 into 1
6.028 * [backup-simplify]: Simplify (* 1 1) into 1
6.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.030 * [backup-simplify]: Simplify (+ 0 0) into 0
6.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.031 * [taylor]: Taking taylor expansion of 0 in im
6.031 * [backup-simplify]: Simplify 0 into 0
6.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.032 * [backup-simplify]: Simplify 0 into 0
6.032 * [backup-simplify]: Simplify 0 into 0
6.032 * [backup-simplify]: Simplify 0 into 0
6.032 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.032 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
6.032 * [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))))
6.032 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
6.032 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
6.032 * [taylor]: Taking taylor expansion of re in im
6.032 * [backup-simplify]: Simplify re into re
6.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.033 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.033 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.033 * [taylor]: Taking taylor expansion of re in im
6.033 * [backup-simplify]: Simplify re into re
6.033 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.033 * [taylor]: Taking taylor expansion of im in im
6.033 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify 1 into 1
6.033 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.033 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.033 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.033 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.033 * [backup-simplify]: Simplify (+ 0 0) into 0
6.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.033 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.033 * [taylor]: Taking taylor expansion of re in re
6.033 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify 1 into 1
6.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.033 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.033 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.033 * [taylor]: Taking taylor expansion of re in re
6.033 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify 1 into 1
6.033 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.033 * [taylor]: Taking taylor expansion of im in re
6.033 * [backup-simplify]: Simplify im into im
6.034 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.034 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.034 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.034 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.034 * [backup-simplify]: Simplify (+ 0 0) into 0
6.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.034 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.034 * [taylor]: Taking taylor expansion of re in re
6.034 * [backup-simplify]: Simplify 0 into 0
6.034 * [backup-simplify]: Simplify 1 into 1
6.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.034 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.034 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.034 * [taylor]: Taking taylor expansion of re in re
6.034 * [backup-simplify]: Simplify 0 into 0
6.034 * [backup-simplify]: Simplify 1 into 1
6.034 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.034 * [taylor]: Taking taylor expansion of im in re
6.034 * [backup-simplify]: Simplify im into im
6.034 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.035 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.035 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.035 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.035 * [backup-simplify]: Simplify (+ 0 0) into 0
6.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.035 * [backup-simplify]: Simplify (+ 0 im) into im
6.035 * [taylor]: Taking taylor expansion of im in im
6.035 * [backup-simplify]: Simplify 0 into 0
6.035 * [backup-simplify]: Simplify 1 into 1
6.035 * [backup-simplify]: Simplify 0 into 0
6.035 * [backup-simplify]: Simplify (+ 1 0) into 1
6.036 * [taylor]: Taking taylor expansion of 1 in im
6.036 * [backup-simplify]: Simplify 1 into 1
6.036 * [backup-simplify]: Simplify 1 into 1
6.036 * [backup-simplify]: Simplify 1 into 1
6.036 * [backup-simplify]: Simplify (* 1 1) into 1
6.036 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.036 * [backup-simplify]: Simplify (+ 1 0) into 1
6.037 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.037 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.037 * [taylor]: Taking taylor expansion of 1/2 in im
6.037 * [backup-simplify]: Simplify 1/2 into 1/2
6.037 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.037 * [taylor]: Taking taylor expansion of im in im
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify 1 into 1
6.037 * [backup-simplify]: Simplify (/ 1 1) into 1
6.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.038 * [backup-simplify]: Simplify 0 into 0
6.038 * [backup-simplify]: Simplify 0 into 0
6.038 * [backup-simplify]: Simplify 0 into 0
6.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.039 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.039 * [backup-simplify]: Simplify (+ 0 0) into 0
6.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.040 * [backup-simplify]: Simplify (+ 0 0) into 0
6.040 * [taylor]: Taking taylor expansion of 0 in im
6.040 * [backup-simplify]: Simplify 0 into 0
6.040 * [backup-simplify]: Simplify 0 into 0
6.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
6.042 * [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)))))
6.042 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
6.042 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.042 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.042 * [taylor]: Taking taylor expansion of re in im
6.042 * [backup-simplify]: Simplify re into re
6.042 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.042 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.042 * [taylor]: Taking taylor expansion of im in im
6.042 * [backup-simplify]: Simplify 0 into 0
6.042 * [backup-simplify]: Simplify 1 into 1
6.042 * [backup-simplify]: Simplify (* 1 1) into 1
6.042 * [backup-simplify]: Simplify (/ 1 1) into 1
6.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.042 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.042 * [taylor]: Taking taylor expansion of re in im
6.042 * [backup-simplify]: Simplify re into re
6.043 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.043 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.043 * [backup-simplify]: Simplify (+ 1 0) into 1
6.043 * [backup-simplify]: Simplify (sqrt 1) into 1
6.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.045 * [backup-simplify]: Simplify (+ 0 0) into 0
6.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.045 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.045 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.045 * [taylor]: Taking taylor expansion of re in re
6.045 * [backup-simplify]: Simplify 0 into 0
6.045 * [backup-simplify]: Simplify 1 into 1
6.045 * [backup-simplify]: Simplify (/ 1 1) into 1
6.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.045 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.045 * [taylor]: Taking taylor expansion of im in re
6.046 * [backup-simplify]: Simplify im into im
6.046 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.046 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.046 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.046 * [taylor]: Taking taylor expansion of re in re
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [backup-simplify]: Simplify 1 into 1
6.046 * [backup-simplify]: Simplify (* 1 1) into 1
6.046 * [backup-simplify]: Simplify (/ 1 1) into 1
6.047 * [backup-simplify]: Simplify (+ 0 1) into 1
6.047 * [backup-simplify]: Simplify (sqrt 1) into 1
6.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.048 * [backup-simplify]: Simplify (+ 0 0) into 0
6.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.048 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.048 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.048 * [taylor]: Taking taylor expansion of re in re
6.048 * [backup-simplify]: Simplify 0 into 0
6.048 * [backup-simplify]: Simplify 1 into 1
6.049 * [backup-simplify]: Simplify (/ 1 1) into 1
6.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.049 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.049 * [taylor]: Taking taylor expansion of im in re
6.049 * [backup-simplify]: Simplify im into im
6.049 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.049 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.049 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.049 * [taylor]: Taking taylor expansion of re in re
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify 1 into 1
6.049 * [backup-simplify]: Simplify (* 1 1) into 1
6.050 * [backup-simplify]: Simplify (/ 1 1) into 1
6.050 * [backup-simplify]: Simplify (+ 0 1) into 1
6.050 * [backup-simplify]: Simplify (sqrt 1) into 1
6.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.051 * [backup-simplify]: Simplify (+ 0 0) into 0
6.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.052 * [backup-simplify]: Simplify (+ 1 1) into 2
6.052 * [taylor]: Taking taylor expansion of 2 in im
6.052 * [backup-simplify]: Simplify 2 into 2
6.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.053 * [backup-simplify]: Simplify (+ 0 0) into 0
6.053 * [taylor]: Taking taylor expansion of 0 in im
6.053 * [backup-simplify]: Simplify 0 into 0
6.053 * [backup-simplify]: Simplify 2 into 2
6.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.054 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.055 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.055 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.055 * [taylor]: Taking taylor expansion of 1/2 in im
6.055 * [backup-simplify]: Simplify 1/2 into 1/2
6.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.055 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.055 * [taylor]: Taking taylor expansion of im in im
6.055 * [backup-simplify]: Simplify 0 into 0
6.055 * [backup-simplify]: Simplify 1 into 1
6.056 * [backup-simplify]: Simplify (* 1 1) into 1
6.056 * [backup-simplify]: Simplify (/ 1 1) into 1
6.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.057 * [backup-simplify]: Simplify 0 into 0
6.057 * [backup-simplify]: Simplify 0 into 0
6.057 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.058 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.060 * [backup-simplify]: Simplify (+ 0 0) into 0
6.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.060 * [backup-simplify]: Simplify (+ 0 0) into 0
6.060 * [taylor]: Taking taylor expansion of 0 in im
6.060 * [backup-simplify]: Simplify 0 into 0
6.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
6.062 * [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))
6.062 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
6.062 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
6.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.063 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.063 * [taylor]: Taking taylor expansion of im in im
6.063 * [backup-simplify]: Simplify 0 into 0
6.063 * [backup-simplify]: Simplify 1 into 1
6.063 * [backup-simplify]: Simplify (* 1 1) into 1
6.063 * [backup-simplify]: Simplify (/ 1 1) into 1
6.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.063 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.063 * [taylor]: Taking taylor expansion of re in im
6.063 * [backup-simplify]: Simplify re into re
6.063 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.063 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.064 * [backup-simplify]: Simplify (+ 1 0) into 1
6.064 * [backup-simplify]: Simplify (sqrt 1) into 1
6.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.065 * [backup-simplify]: Simplify (+ 0 0) into 0
6.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.065 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.065 * [taylor]: Taking taylor expansion of re in im
6.065 * [backup-simplify]: Simplify re into re
6.065 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.065 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.066 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.066 * [taylor]: Taking taylor expansion of im in re
6.066 * [backup-simplify]: Simplify im into im
6.066 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.066 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.066 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.066 * [taylor]: Taking taylor expansion of re in re
6.066 * [backup-simplify]: Simplify 0 into 0
6.066 * [backup-simplify]: Simplify 1 into 1
6.066 * [backup-simplify]: Simplify (* 1 1) into 1
6.067 * [backup-simplify]: Simplify (/ 1 1) into 1
6.067 * [backup-simplify]: Simplify (+ 0 1) into 1
6.067 * [backup-simplify]: Simplify (sqrt 1) into 1
6.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.069 * [backup-simplify]: Simplify (+ 0 0) into 0
6.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.069 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.070 * [taylor]: Taking taylor expansion of re in re
6.070 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify 1 into 1
6.070 * [backup-simplify]: Simplify (/ 1 1) into 1
6.070 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.070 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.070 * [taylor]: Taking taylor expansion of im in re
6.070 * [backup-simplify]: Simplify im into im
6.070 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.070 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.070 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.070 * [taylor]: Taking taylor expansion of re in re
6.070 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify 1 into 1
6.071 * [backup-simplify]: Simplify (* 1 1) into 1
6.071 * [backup-simplify]: Simplify (/ 1 1) into 1
6.071 * [backup-simplify]: Simplify (+ 0 1) into 1
6.071 * [backup-simplify]: Simplify (sqrt 1) into 1
6.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.072 * [backup-simplify]: Simplify (+ 0 0) into 0
6.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.073 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.073 * [taylor]: Taking taylor expansion of re in re
6.073 * [backup-simplify]: Simplify 0 into 0
6.073 * [backup-simplify]: Simplify 1 into 1
6.073 * [backup-simplify]: Simplify (/ 1 1) into 1
6.073 * [backup-simplify]: Simplify (- 1) into -1
6.074 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.074 * [taylor]: Taking taylor expansion of 0 in im
6.074 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.078 * [backup-simplify]: Simplify (- 0) into 0
6.078 * [backup-simplify]: Simplify (+ 0 0) into 0
6.078 * [taylor]: Taking taylor expansion of 0 in im
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 0 into 0
6.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.081 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.082 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.083 * [backup-simplify]: Simplify (- 0) into 0
6.083 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.083 * [taylor]: Taking taylor expansion of 1/2 in im
6.083 * [backup-simplify]: Simplify 1/2 into 1/2
6.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.083 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.083 * [taylor]: Taking taylor expansion of im in im
6.084 * [backup-simplify]: Simplify 0 into 0
6.084 * [backup-simplify]: Simplify 1 into 1
6.084 * [backup-simplify]: Simplify (* 1 1) into 1
6.084 * [backup-simplify]: Simplify (/ 1 1) into 1
6.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.086 * [backup-simplify]: Simplify 0 into 0
6.086 * [backup-simplify]: Simplify 0 into 0
6.087 * [backup-simplify]: Simplify 0 into 0
6.087 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.089 * [backup-simplify]: Simplify (+ 0 0) into 0
6.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.091 * [backup-simplify]: Simplify (- 0) into 0
6.092 * [backup-simplify]: Simplify (+ 0 0) into 0
6.092 * [taylor]: Taking taylor expansion of 0 in im
6.092 * [backup-simplify]: Simplify 0 into 0
6.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.095 * [backup-simplify]: Simplify 0 into 0
6.095 * [backup-simplify]: Simplify 0 into 0
6.095 * [backup-simplify]: Simplify 0 into 0
6.095 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
6.096 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
6.096 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.096 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.096 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.096 * [taylor]: Taking taylor expansion of re in im
6.096 * [backup-simplify]: Simplify re into re
6.096 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.096 * [taylor]: Taking taylor expansion of im in im
6.096 * [backup-simplify]: Simplify 0 into 0
6.096 * [backup-simplify]: Simplify 1 into 1
6.097 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.097 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.097 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.097 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.097 * [backup-simplify]: Simplify (+ 0 0) into 0
6.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.098 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.098 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.098 * [taylor]: Taking taylor expansion of re in re
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify 1 into 1
6.098 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.098 * [taylor]: Taking taylor expansion of im in re
6.098 * [backup-simplify]: Simplify im into im
6.098 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.098 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.098 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.098 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.099 * [backup-simplify]: Simplify (+ 0 0) into 0
6.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.099 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.099 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.099 * [taylor]: Taking taylor expansion of re in re
6.099 * [backup-simplify]: Simplify 0 into 0
6.099 * [backup-simplify]: Simplify 1 into 1
6.099 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.099 * [taylor]: Taking taylor expansion of im in re
6.099 * [backup-simplify]: Simplify im into im
6.099 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.099 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.100 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.100 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.100 * [backup-simplify]: Simplify (+ 0 0) into 0
6.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.100 * [taylor]: Taking taylor expansion of im in im
6.100 * [backup-simplify]: Simplify 0 into 0
6.100 * [backup-simplify]: Simplify 1 into 1
6.100 * [backup-simplify]: Simplify 0 into 0
6.100 * [taylor]: Taking taylor expansion of 0 in im
6.100 * [backup-simplify]: Simplify 0 into 0
6.100 * [backup-simplify]: Simplify 0 into 0
6.101 * [backup-simplify]: Simplify 1 into 1
6.101 * [backup-simplify]: Simplify (* 1 1) into 1
6.101 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.102 * [backup-simplify]: Simplify (+ 1 0) into 1
6.103 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.103 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.103 * [taylor]: Taking taylor expansion of 1/2 in im
6.103 * [backup-simplify]: Simplify 1/2 into 1/2
6.103 * [taylor]: Taking taylor expansion of im in im
6.103 * [backup-simplify]: Simplify 0 into 0
6.103 * [backup-simplify]: Simplify 1 into 1
6.103 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.104 * [backup-simplify]: Simplify 0 into 0
6.104 * [backup-simplify]: Simplify 0 into 0
6.104 * [backup-simplify]: Simplify 0 into 0
6.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.106 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.106 * [backup-simplify]: Simplify (+ 0 0) into 0
6.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.106 * [taylor]: Taking taylor expansion of 0 in im
6.106 * [backup-simplify]: Simplify 0 into 0
6.106 * [backup-simplify]: Simplify 0 into 0
6.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.107 * [backup-simplify]: Simplify 0 into 0
6.107 * [backup-simplify]: Simplify 0 into 0
6.108 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.108 * [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))))
6.108 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.108 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.108 * [taylor]: Taking taylor expansion of im in im
6.109 * [backup-simplify]: Simplify 0 into 0
6.109 * [backup-simplify]: Simplify 1 into 1
6.109 * [backup-simplify]: Simplify (* 1 1) into 1
6.109 * [backup-simplify]: Simplify (/ 1 1) into 1
6.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.109 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.109 * [taylor]: Taking taylor expansion of re in im
6.109 * [backup-simplify]: Simplify re into re
6.109 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.110 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.110 * [backup-simplify]: Simplify (+ 1 0) into 1
6.111 * [backup-simplify]: Simplify (sqrt 1) into 1
6.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.112 * [backup-simplify]: Simplify (+ 0 0) into 0
6.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.113 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.113 * [taylor]: Taking taylor expansion of im in re
6.113 * [backup-simplify]: Simplify im into im
6.113 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.113 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.113 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.114 * [taylor]: Taking taylor expansion of re in re
6.114 * [backup-simplify]: Simplify 0 into 0
6.114 * [backup-simplify]: Simplify 1 into 1
6.114 * [backup-simplify]: Simplify (* 1 1) into 1
6.114 * [backup-simplify]: Simplify (/ 1 1) into 1
6.115 * [backup-simplify]: Simplify (+ 0 1) into 1
6.115 * [backup-simplify]: Simplify (sqrt 1) into 1
6.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.117 * [backup-simplify]: Simplify (+ 0 0) into 0
6.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.118 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.118 * [taylor]: Taking taylor expansion of im in re
6.118 * [backup-simplify]: Simplify im into im
6.118 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.118 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.118 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.118 * [taylor]: Taking taylor expansion of re in re
6.118 * [backup-simplify]: Simplify 0 into 0
6.118 * [backup-simplify]: Simplify 1 into 1
6.119 * [backup-simplify]: Simplify (* 1 1) into 1
6.119 * [backup-simplify]: Simplify (/ 1 1) into 1
6.119 * [backup-simplify]: Simplify (+ 0 1) into 1
6.120 * [backup-simplify]: Simplify (sqrt 1) into 1
6.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.121 * [backup-simplify]: Simplify (+ 0 0) into 0
6.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.122 * [taylor]: Taking taylor expansion of 1 in im
6.122 * [backup-simplify]: Simplify 1 into 1
6.122 * [taylor]: Taking taylor expansion of 0 in im
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 1 into 1
6.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.124 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.126 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.126 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.126 * [taylor]: Taking taylor expansion of 1/2 in im
6.126 * [backup-simplify]: Simplify 1/2 into 1/2
6.126 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.126 * [taylor]: Taking taylor expansion of im in im
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify 1 into 1
6.126 * [backup-simplify]: Simplify (* 1 1) into 1
6.127 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.128 * [backup-simplify]: Simplify 0 into 0
6.128 * [backup-simplify]: Simplify 0 into 0
6.128 * [backup-simplify]: Simplify 0 into 0
6.129 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.131 * [backup-simplify]: Simplify (+ 0 0) into 0
6.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.132 * [taylor]: Taking taylor expansion of 0 in im
6.132 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.135 * [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))))
6.135 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.135 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.135 * [taylor]: Taking taylor expansion of im in im
6.135 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify 1 into 1
6.136 * [backup-simplify]: Simplify (* 1 1) into 1
6.136 * [backup-simplify]: Simplify (/ 1 1) into 1
6.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.136 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.136 * [taylor]: Taking taylor expansion of re in im
6.136 * [backup-simplify]: Simplify re into re
6.136 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.137 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.137 * [backup-simplify]: Simplify (+ 1 0) into 1
6.138 * [backup-simplify]: Simplify (sqrt 1) into 1
6.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.139 * [backup-simplify]: Simplify (+ 0 0) into 0
6.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.140 * [taylor]: Taking taylor expansion of im in re
6.140 * [backup-simplify]: Simplify im into im
6.140 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.140 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.141 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.141 * [taylor]: Taking taylor expansion of re in re
6.141 * [backup-simplify]: Simplify 0 into 0
6.141 * [backup-simplify]: Simplify 1 into 1
6.141 * [backup-simplify]: Simplify (* 1 1) into 1
6.141 * [backup-simplify]: Simplify (/ 1 1) into 1
6.142 * [backup-simplify]: Simplify (+ 0 1) into 1
6.142 * [backup-simplify]: Simplify (sqrt 1) into 1
6.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.144 * [backup-simplify]: Simplify (+ 0 0) into 0
6.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.145 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.145 * [taylor]: Taking taylor expansion of im in re
6.145 * [backup-simplify]: Simplify im into im
6.145 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.145 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.145 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.145 * [taylor]: Taking taylor expansion of re in re
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify 1 into 1
6.146 * [backup-simplify]: Simplify (* 1 1) into 1
6.146 * [backup-simplify]: Simplify (/ 1 1) into 1
6.146 * [backup-simplify]: Simplify (+ 0 1) into 1
6.147 * [backup-simplify]: Simplify (sqrt 1) into 1
6.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.149 * [backup-simplify]: Simplify (+ 0 0) into 0
6.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.149 * [taylor]: Taking taylor expansion of 1 in im
6.149 * [backup-simplify]: Simplify 1 into 1
6.150 * [taylor]: Taking taylor expansion of 0 in im
6.150 * [backup-simplify]: Simplify 0 into 0
6.150 * [backup-simplify]: Simplify 1 into 1
6.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.152 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.153 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.153 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.153 * [taylor]: Taking taylor expansion of 1/2 in im
6.153 * [backup-simplify]: Simplify 1/2 into 1/2
6.153 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.153 * [taylor]: Taking taylor expansion of im in im
6.153 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify 1 into 1
6.154 * [backup-simplify]: Simplify (* 1 1) into 1
6.154 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.156 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.159 * [backup-simplify]: Simplify (+ 0 0) into 0
6.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.160 * [taylor]: Taking taylor expansion of 0 in im
6.160 * [backup-simplify]: Simplify 0 into 0
6.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.162 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.162 * * * [progress]: simplifying candidates
6.166 * [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)
6.173 * * [simplify]: Extracting # 0 : cost  0
6.173 * * [simplify]: Extracting # 1 : cost  0
6.174 * * [simplify]: Extracting # 2 : cost  0
6.174 * * [simplify]: Extracting # 3 : cost  0
6.174 * * [simplify]: Extracting # 4 : cost  0
6.175 * * [simplify]: Extracting # 5 : cost  0
6.175 * * [simplify]: Extracting # 6 : cost  0
6.175 * * [simplify]: Extracting # 7 : cost  0
6.176 * * [simplify]: iteration  0 :  133  enodes  (cost  3041 )
6.250 * * [simplify]: Extracting # 0 : cost  0
6.251 * * [simplify]: Extracting # 1 : cost  0
6.251 * * [simplify]: Extracting # 2 : cost  0
6.252 * * [simplify]: Extracting # 3 : cost  0
6.252 * * [simplify]: Extracting # 4 : cost  0
6.253 * * [simplify]: Extracting # 5 : cost  0
6.253 * * [simplify]: iteration  1 :  264  enodes  (cost  1733 )
6.352 * * [simplify]: Extracting # 0 : cost  0
6.353 * * [simplify]: Extracting # 1 : cost  0
6.354 * * [simplify]: Extracting # 2 : cost  0
6.356 * * [simplify]: Extracting # 3 : cost  0
6.357 * * [simplify]: Extracting # 4 : cost  0
6.359 * * [simplify]: Extracting # 5 : cost  0
6.360 * * [simplify]: iteration  2 :  706  enodes  (cost  1579 )
6.952 * * [simplify]: Extracting # 0 : cost  0
6.956 * * [simplify]: Extracting # 1 : cost  0
6.961 * * [simplify]: Extracting # 2 : cost  0
6.964 * * [simplify]: Extracting # 3 : cost  0
6.968 * * [simplify]: Extracting # 4 : cost  0
6.971 * * [simplify]: Extracting # 5 : cost  0
6.975 * * [simplify]: iteration  3 :  2108  enodes  (cost  1520 )
8.377 * * [simplify]: Extracting # 0 : cost  0
8.392 * * [simplify]: Extracting # 1 : cost  0
8.404 * * [simplify]: Extracting # 2 : cost  0
8.415 * * [simplify]: Extracting # 3 : cost  0
8.425 * * [simplify]: Extracting # 4 : cost  0
8.432 * * [simplify]: Extracting # 5 : cost  0
8.437 * * [simplify]: iteration done:  5001  enodes  (cost  1479 )
8.438 * [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)
8.440 * * * [progress]: adding candidates to table
8.913 * * [progress]: iteration 4 / 4
8.913 * * * [progress]: picking best candidate
8.932 * * * * [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)))))>
8.933 * * * [progress]: localizing error
8.969 * * * [progress]: generating rewritten candidates
8.969 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
8.995 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
9.014 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
9.094 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2)
9.117 * * * [progress]: generating series expansions
9.117 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
9.118 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
9.118 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
9.118 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.118 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.118 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.118 * [taylor]: Taking taylor expansion of re in im
9.118 * [backup-simplify]: Simplify re into re
9.118 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.118 * [taylor]: Taking taylor expansion of im in im
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify 1 into 1
9.118 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.118 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.118 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.118 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.119 * [backup-simplify]: Simplify (+ 0 0) into 0
9.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.119 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.119 * [taylor]: Taking taylor expansion of re in re
9.119 * [backup-simplify]: Simplify 0 into 0
9.119 * [backup-simplify]: Simplify 1 into 1
9.119 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.119 * [taylor]: Taking taylor expansion of im in re
9.119 * [backup-simplify]: Simplify im into im
9.119 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.119 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.119 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.119 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.120 * [backup-simplify]: Simplify (+ 0 0) into 0
9.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.120 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.120 * [taylor]: Taking taylor expansion of re in re
9.120 * [backup-simplify]: Simplify 0 into 0
9.120 * [backup-simplify]: Simplify 1 into 1
9.120 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.120 * [taylor]: Taking taylor expansion of im in re
9.120 * [backup-simplify]: Simplify im into im
9.120 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.120 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.120 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.120 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.120 * [backup-simplify]: Simplify (+ 0 0) into 0
9.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.121 * [taylor]: Taking taylor expansion of im in im
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 1 into 1
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [taylor]: Taking taylor expansion of 0 in im
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 1 into 1
9.121 * [backup-simplify]: Simplify (* 1 1) into 1
9.121 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.122 * [backup-simplify]: Simplify (+ 1 0) into 1
9.122 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.122 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.122 * [taylor]: Taking taylor expansion of 1/2 in im
9.122 * [backup-simplify]: Simplify 1/2 into 1/2
9.122 * [taylor]: Taking taylor expansion of im in im
9.122 * [backup-simplify]: Simplify 0 into 0
9.122 * [backup-simplify]: Simplify 1 into 1
9.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.123 * [backup-simplify]: Simplify 0 into 0
9.123 * [backup-simplify]: Simplify 0 into 0
9.123 * [backup-simplify]: Simplify 0 into 0
9.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.124 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.124 * [backup-simplify]: Simplify (+ 0 0) into 0
9.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.124 * [taylor]: Taking taylor expansion of 0 in im
9.124 * [backup-simplify]: Simplify 0 into 0
9.124 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.125 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.125 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.125 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.125 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.125 * [taylor]: Taking taylor expansion of im in im
9.125 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify 1 into 1
9.126 * [backup-simplify]: Simplify (* 1 1) into 1
9.126 * [backup-simplify]: Simplify (/ 1 1) into 1
9.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.126 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.126 * [taylor]: Taking taylor expansion of re in im
9.126 * [backup-simplify]: Simplify re into re
9.126 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.126 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.126 * [backup-simplify]: Simplify (+ 1 0) into 1
9.127 * [backup-simplify]: Simplify (sqrt 1) into 1
9.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.128 * [backup-simplify]: Simplify (+ 0 0) into 0
9.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.128 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.128 * [taylor]: Taking taylor expansion of im in re
9.128 * [backup-simplify]: Simplify im into im
9.128 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.129 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.129 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.129 * [taylor]: Taking taylor expansion of re in re
9.129 * [backup-simplify]: Simplify 0 into 0
9.129 * [backup-simplify]: Simplify 1 into 1
9.129 * [backup-simplify]: Simplify (* 1 1) into 1
9.129 * [backup-simplify]: Simplify (/ 1 1) into 1
9.130 * [backup-simplify]: Simplify (+ 0 1) into 1
9.130 * [backup-simplify]: Simplify (sqrt 1) into 1
9.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.131 * [backup-simplify]: Simplify (+ 0 0) into 0
9.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.131 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.131 * [taylor]: Taking taylor expansion of im in re
9.131 * [backup-simplify]: Simplify im into im
9.131 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.132 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.132 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.132 * [taylor]: Taking taylor expansion of re in re
9.132 * [backup-simplify]: Simplify 0 into 0
9.132 * [backup-simplify]: Simplify 1 into 1
9.132 * [backup-simplify]: Simplify (* 1 1) into 1
9.133 * [backup-simplify]: Simplify (/ 1 1) into 1
9.133 * [backup-simplify]: Simplify (+ 0 1) into 1
9.133 * [backup-simplify]: Simplify (sqrt 1) into 1
9.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.134 * [backup-simplify]: Simplify (+ 0 0) into 0
9.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.135 * [taylor]: Taking taylor expansion of 1 in im
9.135 * [backup-simplify]: Simplify 1 into 1
9.135 * [taylor]: Taking taylor expansion of 0 in im
9.135 * [backup-simplify]: Simplify 0 into 0
9.135 * [backup-simplify]: Simplify 1 into 1
9.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.136 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.138 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.138 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.138 * [taylor]: Taking taylor expansion of 1/2 in im
9.138 * [backup-simplify]: Simplify 1/2 into 1/2
9.138 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.138 * [taylor]: Taking taylor expansion of im in im
9.138 * [backup-simplify]: Simplify 0 into 0
9.138 * [backup-simplify]: Simplify 1 into 1
9.138 * [backup-simplify]: Simplify (* 1 1) into 1
9.139 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.140 * [backup-simplify]: Simplify 0 into 0
9.140 * [backup-simplify]: Simplify 0 into 0
9.140 * [backup-simplify]: Simplify 0 into 0
9.141 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.143 * [backup-simplify]: Simplify (+ 0 0) into 0
9.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.144 * [taylor]: Taking taylor expansion of 0 in im
9.144 * [backup-simplify]: Simplify 0 into 0
9.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.146 * [backup-simplify]: Simplify 0 into 0
9.146 * [backup-simplify]: Simplify 0 into 0
9.146 * [backup-simplify]: Simplify 0 into 0
9.146 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.147 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.147 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.147 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.147 * [taylor]: Taking taylor expansion of im in im
9.147 * [backup-simplify]: Simplify 0 into 0
9.147 * [backup-simplify]: Simplify 1 into 1
9.147 * [backup-simplify]: Simplify (* 1 1) into 1
9.148 * [backup-simplify]: Simplify (/ 1 1) into 1
9.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.148 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.148 * [taylor]: Taking taylor expansion of re in im
9.148 * [backup-simplify]: Simplify re into re
9.148 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.148 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.149 * [backup-simplify]: Simplify (+ 1 0) into 1
9.149 * [backup-simplify]: Simplify (sqrt 1) into 1
9.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.151 * [backup-simplify]: Simplify (+ 0 0) into 0
9.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.152 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.152 * [taylor]: Taking taylor expansion of im in re
9.152 * [backup-simplify]: Simplify im into im
9.152 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.152 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.152 * [taylor]: Taking taylor expansion of re in re
9.152 * [backup-simplify]: Simplify 0 into 0
9.152 * [backup-simplify]: Simplify 1 into 1
9.153 * [backup-simplify]: Simplify (* 1 1) into 1
9.153 * [backup-simplify]: Simplify (/ 1 1) into 1
9.153 * [backup-simplify]: Simplify (+ 0 1) into 1
9.154 * [backup-simplify]: Simplify (sqrt 1) into 1
9.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.156 * [backup-simplify]: Simplify (+ 0 0) into 0
9.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.156 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.156 * [taylor]: Taking taylor expansion of im in re
9.156 * [backup-simplify]: Simplify im into im
9.157 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.157 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.157 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.157 * [taylor]: Taking taylor expansion of re in re
9.157 * [backup-simplify]: Simplify 0 into 0
9.157 * [backup-simplify]: Simplify 1 into 1
9.157 * [backup-simplify]: Simplify (* 1 1) into 1
9.158 * [backup-simplify]: Simplify (/ 1 1) into 1
9.158 * [backup-simplify]: Simplify (+ 0 1) into 1
9.158 * [backup-simplify]: Simplify (sqrt 1) into 1
9.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.160 * [backup-simplify]: Simplify (+ 0 0) into 0
9.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.161 * [taylor]: Taking taylor expansion of 1 in im
9.161 * [backup-simplify]: Simplify 1 into 1
9.161 * [taylor]: Taking taylor expansion of 0 in im
9.161 * [backup-simplify]: Simplify 0 into 0
9.161 * [backup-simplify]: Simplify 1 into 1
9.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.163 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.165 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.165 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.165 * [taylor]: Taking taylor expansion of 1/2 in im
9.165 * [backup-simplify]: Simplify 1/2 into 1/2
9.165 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.165 * [taylor]: Taking taylor expansion of im in im
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify 1 into 1
9.165 * [backup-simplify]: Simplify (* 1 1) into 1
9.166 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.167 * [backup-simplify]: Simplify 0 into 0
9.167 * [backup-simplify]: Simplify 0 into 0
9.167 * [backup-simplify]: Simplify 0 into 0
9.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.169 * [backup-simplify]: Simplify (+ 0 0) into 0
9.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.169 * [taylor]: Taking taylor expansion of 0 in im
9.169 * [backup-simplify]: Simplify 0 into 0
9.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.171 * [backup-simplify]: Simplify 0 into 0
9.171 * [backup-simplify]: Simplify 0 into 0
9.171 * [backup-simplify]: Simplify 0 into 0
9.171 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.171 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1)
9.171 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
9.171 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
9.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.171 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.171 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.171 * [taylor]: Taking taylor expansion of re in im
9.171 * [backup-simplify]: Simplify re into re
9.171 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.171 * [taylor]: Taking taylor expansion of im in im
9.171 * [backup-simplify]: Simplify 0 into 0
9.171 * [backup-simplify]: Simplify 1 into 1
9.171 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.171 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.171 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.172 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.172 * [backup-simplify]: Simplify (+ 0 0) into 0
9.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.172 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.172 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.172 * [taylor]: Taking taylor expansion of re in re
9.172 * [backup-simplify]: Simplify 0 into 0
9.172 * [backup-simplify]: Simplify 1 into 1
9.172 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.172 * [taylor]: Taking taylor expansion of im in re
9.172 * [backup-simplify]: Simplify im into im
9.172 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.172 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.172 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.173 * [backup-simplify]: Simplify (+ 0 0) into 0
9.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.173 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.173 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.173 * [taylor]: Taking taylor expansion of re in re
9.173 * [backup-simplify]: Simplify 0 into 0
9.173 * [backup-simplify]: Simplify 1 into 1
9.173 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.173 * [taylor]: Taking taylor expansion of im in re
9.173 * [backup-simplify]: Simplify im into im
9.173 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.173 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.173 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.173 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.174 * [backup-simplify]: Simplify (+ 0 0) into 0
9.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.174 * [taylor]: Taking taylor expansion of im in im
9.174 * [backup-simplify]: Simplify 0 into 0
9.174 * [backup-simplify]: Simplify 1 into 1
9.174 * [backup-simplify]: Simplify 0 into 0
9.174 * [taylor]: Taking taylor expansion of 0 in im
9.174 * [backup-simplify]: Simplify 0 into 0
9.174 * [backup-simplify]: Simplify 0 into 0
9.174 * [backup-simplify]: Simplify 1 into 1
9.174 * [backup-simplify]: Simplify (* 1 1) into 1
9.175 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.175 * [backup-simplify]: Simplify (+ 1 0) into 1
9.175 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.175 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.175 * [taylor]: Taking taylor expansion of 1/2 in im
9.175 * [backup-simplify]: Simplify 1/2 into 1/2
9.175 * [taylor]: Taking taylor expansion of im in im
9.175 * [backup-simplify]: Simplify 0 into 0
9.175 * [backup-simplify]: Simplify 1 into 1
9.176 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.176 * [backup-simplify]: Simplify 0 into 0
9.176 * [backup-simplify]: Simplify 0 into 0
9.176 * [backup-simplify]: Simplify 0 into 0
9.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.177 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.177 * [backup-simplify]: Simplify (+ 0 0) into 0
9.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.178 * [taylor]: Taking taylor expansion of 0 in im
9.178 * [backup-simplify]: Simplify 0 into 0
9.178 * [backup-simplify]: Simplify 0 into 0
9.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.178 * [backup-simplify]: Simplify 0 into 0
9.178 * [backup-simplify]: Simplify 0 into 0
9.178 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.178 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.179 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.179 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.179 * [taylor]: Taking taylor expansion of im in im
9.179 * [backup-simplify]: Simplify 0 into 0
9.179 * [backup-simplify]: Simplify 1 into 1
9.179 * [backup-simplify]: Simplify (* 1 1) into 1
9.179 * [backup-simplify]: Simplify (/ 1 1) into 1
9.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.179 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.179 * [taylor]: Taking taylor expansion of re in im
9.179 * [backup-simplify]: Simplify re into re
9.179 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.179 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.180 * [backup-simplify]: Simplify (+ 1 0) into 1
9.180 * [backup-simplify]: Simplify (sqrt 1) into 1
9.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.181 * [backup-simplify]: Simplify (+ 0 0) into 0
9.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.181 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.181 * [taylor]: Taking taylor expansion of im in re
9.181 * [backup-simplify]: Simplify im into im
9.182 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.182 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.182 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.182 * [taylor]: Taking taylor expansion of re in re
9.182 * [backup-simplify]: Simplify 0 into 0
9.182 * [backup-simplify]: Simplify 1 into 1
9.182 * [backup-simplify]: Simplify (* 1 1) into 1
9.182 * [backup-simplify]: Simplify (/ 1 1) into 1
9.182 * [backup-simplify]: Simplify (+ 0 1) into 1
9.183 * [backup-simplify]: Simplify (sqrt 1) into 1
9.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.184 * [backup-simplify]: Simplify (+ 0 0) into 0
9.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.184 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.184 * [taylor]: Taking taylor expansion of im in re
9.184 * [backup-simplify]: Simplify im into im
9.184 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.184 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.184 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.185 * [taylor]: Taking taylor expansion of re in re
9.185 * [backup-simplify]: Simplify 0 into 0
9.185 * [backup-simplify]: Simplify 1 into 1
9.185 * [backup-simplify]: Simplify (* 1 1) into 1
9.185 * [backup-simplify]: Simplify (/ 1 1) into 1
9.185 * [backup-simplify]: Simplify (+ 0 1) into 1
9.186 * [backup-simplify]: Simplify (sqrt 1) into 1
9.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.187 * [backup-simplify]: Simplify (+ 0 0) into 0
9.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.187 * [taylor]: Taking taylor expansion of 1 in im
9.187 * [backup-simplify]: Simplify 1 into 1
9.187 * [taylor]: Taking taylor expansion of 0 in im
9.187 * [backup-simplify]: Simplify 0 into 0
9.187 * [backup-simplify]: Simplify 1 into 1
9.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.188 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.189 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.189 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.189 * [taylor]: Taking taylor expansion of 1/2 in im
9.189 * [backup-simplify]: Simplify 1/2 into 1/2
9.189 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.189 * [taylor]: Taking taylor expansion of im in im
9.189 * [backup-simplify]: Simplify 0 into 0
9.189 * [backup-simplify]: Simplify 1 into 1
9.189 * [backup-simplify]: Simplify (* 1 1) into 1
9.190 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.191 * [backup-simplify]: Simplify 0 into 0
9.191 * [backup-simplify]: Simplify 0 into 0
9.191 * [backup-simplify]: Simplify 0 into 0
9.191 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.192 * [backup-simplify]: Simplify (+ 0 0) into 0
9.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.193 * [taylor]: Taking taylor expansion of 0 in im
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.194 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.194 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.194 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.194 * [taylor]: Taking taylor expansion of im in im
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify 1 into 1
9.195 * [backup-simplify]: Simplify (* 1 1) into 1
9.195 * [backup-simplify]: Simplify (/ 1 1) into 1
9.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.195 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.195 * [taylor]: Taking taylor expansion of re in im
9.195 * [backup-simplify]: Simplify re into re
9.195 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.195 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.195 * [backup-simplify]: Simplify (+ 1 0) into 1
9.196 * [backup-simplify]: Simplify (sqrt 1) into 1
9.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.197 * [backup-simplify]: Simplify (+ 0 0) into 0
9.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.197 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.197 * [taylor]: Taking taylor expansion of im in re
9.197 * [backup-simplify]: Simplify im into im
9.197 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.197 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.197 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.197 * [taylor]: Taking taylor expansion of re in re
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 1 into 1
9.198 * [backup-simplify]: Simplify (* 1 1) into 1
9.198 * [backup-simplify]: Simplify (/ 1 1) into 1
9.198 * [backup-simplify]: Simplify (+ 0 1) into 1
9.198 * [backup-simplify]: Simplify (sqrt 1) into 1
9.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.199 * [backup-simplify]: Simplify (+ 0 0) into 0
9.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.200 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.200 * [taylor]: Taking taylor expansion of im in re
9.200 * [backup-simplify]: Simplify im into im
9.200 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.200 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.200 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.200 * [taylor]: Taking taylor expansion of re in re
9.200 * [backup-simplify]: Simplify 0 into 0
9.200 * [backup-simplify]: Simplify 1 into 1
9.200 * [backup-simplify]: Simplify (* 1 1) into 1
9.201 * [backup-simplify]: Simplify (/ 1 1) into 1
9.201 * [backup-simplify]: Simplify (+ 0 1) into 1
9.201 * [backup-simplify]: Simplify (sqrt 1) into 1
9.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.202 * [backup-simplify]: Simplify (+ 0 0) into 0
9.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.203 * [taylor]: Taking taylor expansion of 1 in im
9.203 * [backup-simplify]: Simplify 1 into 1
9.203 * [taylor]: Taking taylor expansion of 0 in im
9.203 * [backup-simplify]: Simplify 0 into 0
9.203 * [backup-simplify]: Simplify 1 into 1
9.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.204 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.205 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.205 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.205 * [taylor]: Taking taylor expansion of 1/2 in im
9.205 * [backup-simplify]: Simplify 1/2 into 1/2
9.205 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.205 * [taylor]: Taking taylor expansion of im in im
9.205 * [backup-simplify]: Simplify 0 into 0
9.205 * [backup-simplify]: Simplify 1 into 1
9.205 * [backup-simplify]: Simplify (* 1 1) into 1
9.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.206 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.208 * [backup-simplify]: Simplify (+ 0 0) into 0
9.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.209 * [taylor]: Taking taylor expansion of 0 in im
9.209 * [backup-simplify]: Simplify 0 into 0
9.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.211 * [backup-simplify]: Simplify 0 into 0
9.211 * [backup-simplify]: Simplify 0 into 0
9.211 * [backup-simplify]: Simplify 0 into 0
9.211 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.211 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
9.212 * [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))))
9.212 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
9.212 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
9.212 * [taylor]: Taking taylor expansion of re in im
9.212 * [backup-simplify]: Simplify re into re
9.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.212 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.212 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.212 * [taylor]: Taking taylor expansion of re in im
9.213 * [backup-simplify]: Simplify re into re
9.213 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.213 * [taylor]: Taking taylor expansion of im in im
9.213 * [backup-simplify]: Simplify 0 into 0
9.213 * [backup-simplify]: Simplify 1 into 1
9.213 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.213 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.213 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.213 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.215 * [backup-simplify]: Simplify (+ 0 0) into 0
9.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.215 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
9.215 * [taylor]: Taking taylor expansion of re in re
9.215 * [backup-simplify]: Simplify 0 into 0
9.215 * [backup-simplify]: Simplify 1 into 1
9.215 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.215 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.215 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.215 * [taylor]: Taking taylor expansion of re in re
9.215 * [backup-simplify]: Simplify 0 into 0
9.215 * [backup-simplify]: Simplify 1 into 1
9.215 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.215 * [taylor]: Taking taylor expansion of im in re
9.215 * [backup-simplify]: Simplify im into im
9.215 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.216 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.216 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.216 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.216 * [backup-simplify]: Simplify (+ 0 0) into 0
9.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.217 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
9.217 * [taylor]: Taking taylor expansion of re in re
9.217 * [backup-simplify]: Simplify 0 into 0
9.217 * [backup-simplify]: Simplify 1 into 1
9.217 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.217 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.217 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.217 * [taylor]: Taking taylor expansion of re in re
9.217 * [backup-simplify]: Simplify 0 into 0
9.217 * [backup-simplify]: Simplify 1 into 1
9.217 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.217 * [taylor]: Taking taylor expansion of im in re
9.217 * [backup-simplify]: Simplify im into im
9.217 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.217 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.217 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.217 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.218 * [backup-simplify]: Simplify (+ 0 0) into 0
9.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.218 * [backup-simplify]: Simplify (+ 0 im) into im
9.218 * [taylor]: Taking taylor expansion of im in im
9.218 * [backup-simplify]: Simplify 0 into 0
9.218 * [backup-simplify]: Simplify 1 into 1
9.218 * [backup-simplify]: Simplify 0 into 0
9.219 * [backup-simplify]: Simplify (+ 1 0) into 1
9.219 * [taylor]: Taking taylor expansion of 1 in im
9.219 * [backup-simplify]: Simplify 1 into 1
9.219 * [backup-simplify]: Simplify 1 into 1
9.219 * [backup-simplify]: Simplify 1 into 1
9.220 * [backup-simplify]: Simplify (* 1 1) into 1
9.220 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.221 * [backup-simplify]: Simplify (+ 1 0) into 1
9.221 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.222 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
9.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
9.222 * [taylor]: Taking taylor expansion of 1/2 in im
9.222 * [backup-simplify]: Simplify 1/2 into 1/2
9.222 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.222 * [taylor]: Taking taylor expansion of im in im
9.222 * [backup-simplify]: Simplify 0 into 0
9.222 * [backup-simplify]: Simplify 1 into 1
9.222 * [backup-simplify]: Simplify (/ 1 1) into 1
9.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.224 * [backup-simplify]: Simplify 0 into 0
9.224 * [backup-simplify]: Simplify 0 into 0
9.224 * [backup-simplify]: Simplify 0 into 0
9.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.226 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.232 * [backup-simplify]: Simplify (+ 0 0) into 0
9.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.233 * [backup-simplify]: Simplify (+ 0 0) into 0
9.233 * [taylor]: Taking taylor expansion of 0 in im
9.233 * [backup-simplify]: Simplify 0 into 0
9.233 * [backup-simplify]: Simplify 0 into 0
9.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.235 * [backup-simplify]: Simplify 0 into 0
9.235 * [backup-simplify]: Simplify 0 into 0
9.235 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
9.236 * [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)))))
9.237 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
9.237 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
9.237 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.237 * [taylor]: Taking taylor expansion of re in im
9.237 * [backup-simplify]: Simplify re into re
9.237 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.237 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.237 * [taylor]: Taking taylor expansion of im in im
9.237 * [backup-simplify]: Simplify 0 into 0
9.237 * [backup-simplify]: Simplify 1 into 1
9.237 * [backup-simplify]: Simplify (* 1 1) into 1
9.238 * [backup-simplify]: Simplify (/ 1 1) into 1
9.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.238 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.238 * [taylor]: Taking taylor expansion of re in im
9.238 * [backup-simplify]: Simplify re into re
9.238 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.238 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.239 * [backup-simplify]: Simplify (+ 1 0) into 1
9.239 * [backup-simplify]: Simplify (sqrt 1) into 1
9.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.241 * [backup-simplify]: Simplify (+ 0 0) into 0
9.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.242 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.242 * [taylor]: Taking taylor expansion of re in re
9.242 * [backup-simplify]: Simplify 0 into 0
9.242 * [backup-simplify]: Simplify 1 into 1
9.242 * [backup-simplify]: Simplify (/ 1 1) into 1
9.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.242 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.242 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.242 * [taylor]: Taking taylor expansion of im in re
9.243 * [backup-simplify]: Simplify im into im
9.243 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.243 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.243 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.243 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.243 * [taylor]: Taking taylor expansion of re in re
9.243 * [backup-simplify]: Simplify 0 into 0
9.243 * [backup-simplify]: Simplify 1 into 1
9.243 * [backup-simplify]: Simplify (* 1 1) into 1
9.244 * [backup-simplify]: Simplify (/ 1 1) into 1
9.244 * [backup-simplify]: Simplify (+ 0 1) into 1
9.245 * [backup-simplify]: Simplify (sqrt 1) into 1
9.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.246 * [backup-simplify]: Simplify (+ 0 0) into 0
9.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.247 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.247 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.247 * [taylor]: Taking taylor expansion of re in re
9.247 * [backup-simplify]: Simplify 0 into 0
9.247 * [backup-simplify]: Simplify 1 into 1
9.248 * [backup-simplify]: Simplify (/ 1 1) into 1
9.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.248 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.248 * [taylor]: Taking taylor expansion of im in re
9.248 * [backup-simplify]: Simplify im into im
9.248 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.248 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.248 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.248 * [taylor]: Taking taylor expansion of re in re
9.248 * [backup-simplify]: Simplify 0 into 0
9.248 * [backup-simplify]: Simplify 1 into 1
9.249 * [backup-simplify]: Simplify (* 1 1) into 1
9.249 * [backup-simplify]: Simplify (/ 1 1) into 1
9.250 * [backup-simplify]: Simplify (+ 0 1) into 1
9.250 * [backup-simplify]: Simplify (sqrt 1) into 1
9.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.252 * [backup-simplify]: Simplify (+ 0 0) into 0
9.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.252 * [backup-simplify]: Simplify (+ 1 1) into 2
9.252 * [taylor]: Taking taylor expansion of 2 in im
9.252 * [backup-simplify]: Simplify 2 into 2
9.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.253 * [backup-simplify]: Simplify (+ 0 0) into 0
9.253 * [taylor]: Taking taylor expansion of 0 in im
9.253 * [backup-simplify]: Simplify 0 into 0
9.253 * [backup-simplify]: Simplify 2 into 2
9.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.255 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.256 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.256 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
9.256 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
9.256 * [taylor]: Taking taylor expansion of 1/2 in im
9.256 * [backup-simplify]: Simplify 1/2 into 1/2
9.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.256 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.256 * [taylor]: Taking taylor expansion of im in im
9.256 * [backup-simplify]: Simplify 0 into 0
9.256 * [backup-simplify]: Simplify 1 into 1
9.256 * [backup-simplify]: Simplify (* 1 1) into 1
9.256 * [backup-simplify]: Simplify (/ 1 1) into 1
9.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.258 * [backup-simplify]: Simplify 0 into 0
9.258 * [backup-simplify]: Simplify 0 into 0
9.258 * [backup-simplify]: Simplify 0 into 0
9.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.258 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.260 * [backup-simplify]: Simplify (+ 0 0) into 0
9.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.260 * [backup-simplify]: Simplify (+ 0 0) into 0
9.260 * [taylor]: Taking taylor expansion of 0 in im
9.260 * [backup-simplify]: Simplify 0 into 0
9.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.262 * [backup-simplify]: Simplify 0 into 0
9.262 * [backup-simplify]: Simplify 0 into 0
9.262 * [backup-simplify]: Simplify 0 into 0
9.262 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
9.263 * [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))
9.263 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
9.263 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
9.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.263 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.263 * [taylor]: Taking taylor expansion of im in im
9.263 * [backup-simplify]: Simplify 0 into 0
9.263 * [backup-simplify]: Simplify 1 into 1
9.263 * [backup-simplify]: Simplify (* 1 1) into 1
9.263 * [backup-simplify]: Simplify (/ 1 1) into 1
9.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.263 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.263 * [taylor]: Taking taylor expansion of re in im
9.263 * [backup-simplify]: Simplify re into re
9.264 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.264 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.264 * [backup-simplify]: Simplify (+ 1 0) into 1
9.264 * [backup-simplify]: Simplify (sqrt 1) into 1
9.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.265 * [backup-simplify]: Simplify (+ 0 0) into 0
9.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.266 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.266 * [taylor]: Taking taylor expansion of re in im
9.266 * [backup-simplify]: Simplify re into re
9.266 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.266 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
9.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.266 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.266 * [taylor]: Taking taylor expansion of im in re
9.266 * [backup-simplify]: Simplify im into im
9.266 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.266 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.266 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.266 * [taylor]: Taking taylor expansion of re in re
9.266 * [backup-simplify]: Simplify 0 into 0
9.266 * [backup-simplify]: Simplify 1 into 1
9.266 * [backup-simplify]: Simplify (* 1 1) into 1
9.267 * [backup-simplify]: Simplify (/ 1 1) into 1
9.267 * [backup-simplify]: Simplify (+ 0 1) into 1
9.267 * [backup-simplify]: Simplify (sqrt 1) into 1
9.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.268 * [backup-simplify]: Simplify (+ 0 0) into 0
9.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.268 * [taylor]: Taking taylor expansion of re in re
9.268 * [backup-simplify]: Simplify 0 into 0
9.269 * [backup-simplify]: Simplify 1 into 1
9.269 * [backup-simplify]: Simplify (/ 1 1) into 1
9.269 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
9.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.269 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.269 * [taylor]: Taking taylor expansion of im in re
9.269 * [backup-simplify]: Simplify im into im
9.269 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.269 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.269 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.269 * [taylor]: Taking taylor expansion of re in re
9.269 * [backup-simplify]: Simplify 0 into 0
9.269 * [backup-simplify]: Simplify 1 into 1
9.269 * [backup-simplify]: Simplify (* 1 1) into 1
9.270 * [backup-simplify]: Simplify (/ 1 1) into 1
9.270 * [backup-simplify]: Simplify (+ 0 1) into 1
9.270 * [backup-simplify]: Simplify (sqrt 1) into 1
9.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.271 * [backup-simplify]: Simplify (+ 0 0) into 0
9.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.272 * [taylor]: Taking taylor expansion of re in re
9.272 * [backup-simplify]: Simplify 0 into 0
9.272 * [backup-simplify]: Simplify 1 into 1
9.272 * [backup-simplify]: Simplify (/ 1 1) into 1
9.272 * [backup-simplify]: Simplify (- 1) into -1
9.272 * [backup-simplify]: Simplify (+ 1 -1) into 0
9.272 * [taylor]: Taking taylor expansion of 0 in im
9.272 * [backup-simplify]: Simplify 0 into 0
9.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.273 * [backup-simplify]: Simplify (- 0) into 0
9.273 * [backup-simplify]: Simplify (+ 0 0) into 0
9.273 * [taylor]: Taking taylor expansion of 0 in im
9.273 * [backup-simplify]: Simplify 0 into 0
9.273 * [backup-simplify]: Simplify 0 into 0
9.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.275 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.276 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.276 * [backup-simplify]: Simplify (- 0) into 0
9.277 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
9.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
9.277 * [taylor]: Taking taylor expansion of 1/2 in im
9.277 * [backup-simplify]: Simplify 1/2 into 1/2
9.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.277 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.277 * [taylor]: Taking taylor expansion of im in im
9.277 * [backup-simplify]: Simplify 0 into 0
9.277 * [backup-simplify]: Simplify 1 into 1
9.277 * [backup-simplify]: Simplify (* 1 1) into 1
9.277 * [backup-simplify]: Simplify (/ 1 1) into 1
9.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.278 * [backup-simplify]: Simplify 0 into 0
9.278 * [backup-simplify]: Simplify 0 into 0
9.278 * [backup-simplify]: Simplify 0 into 0
9.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.280 * [backup-simplify]: Simplify (+ 0 0) into 0
9.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.281 * [backup-simplify]: Simplify (- 0) into 0
9.281 * [backup-simplify]: Simplify (+ 0 0) into 0
9.281 * [taylor]: Taking taylor expansion of 0 in im
9.281 * [backup-simplify]: Simplify 0 into 0
9.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.283 * [backup-simplify]: Simplify 0 into 0
9.283 * [backup-simplify]: Simplify 0 into 0
9.283 * [backup-simplify]: Simplify 0 into 0
9.283 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2)
9.283 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3)
9.283 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in (re im) around 0
9.283 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in im
9.283 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in im
9.283 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in im
9.283 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in im
9.283 * [taylor]: Taking taylor expansion of 1/8 in im
9.283 * [backup-simplify]: Simplify 1/8 into 1/8
9.283 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
9.284 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.284 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.284 * [taylor]: Taking taylor expansion of re in im
9.284 * [backup-simplify]: Simplify re into re
9.284 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.284 * [taylor]: Taking taylor expansion of im in im
9.284 * [backup-simplify]: Simplify 0 into 0
9.284 * [backup-simplify]: Simplify 1 into 1
9.284 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.284 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.284 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
9.284 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2)))
9.284 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8)
9.284 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
9.284 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
9.285 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
9.285 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
9.285 * [taylor]: Taking taylor expansion of 1/8 in re
9.285 * [backup-simplify]: Simplify 1/8 into 1/8
9.285 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
9.285 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.285 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.285 * [taylor]: Taking taylor expansion of re in re
9.285 * [backup-simplify]: Simplify 0 into 0
9.285 * [backup-simplify]: Simplify 1 into 1
9.285 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.285 * [taylor]: Taking taylor expansion of im in re
9.285 * [backup-simplify]: Simplify im into im
9.285 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.285 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.285 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
9.285 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
9.286 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
9.286 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
9.286 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
9.286 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
9.286 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
9.286 * [taylor]: Taking taylor expansion of 1/8 in re
9.286 * [backup-simplify]: Simplify 1/8 into 1/8
9.286 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
9.286 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.286 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.286 * [taylor]: Taking taylor expansion of re in re
9.286 * [backup-simplify]: Simplify 0 into 0
9.286 * [backup-simplify]: Simplify 1 into 1
9.286 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.286 * [taylor]: Taking taylor expansion of im in re
9.286 * [backup-simplify]: Simplify im into im
9.286 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.286 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.286 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
9.287 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
9.287 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
9.287 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (pow (pow im 2) 1/8)) into (sqrt im)
9.287 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (sqrt im)) into (pow (pow im 3) 1/4)
9.287 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im
9.288 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
9.288 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im
9.288 * [taylor]: Taking taylor expansion of 1/4 in im
9.288 * [backup-simplify]: Simplify 1/4 into 1/4
9.288 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im
9.288 * [taylor]: Taking taylor expansion of (pow im 3) in im
9.288 * [taylor]: Taking taylor expansion of im in im
9.288 * [backup-simplify]: Simplify 0 into 0
9.288 * [backup-simplify]: Simplify 1 into 1
9.288 * [backup-simplify]: Simplify (* 1 1) into 1
9.289 * [backup-simplify]: Simplify (* 1 1) into 1
9.289 * [backup-simplify]: Simplify (log 1) into 0
9.290 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
9.290 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im))
9.290 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4)
9.290 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4)
9.290 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.291 * [backup-simplify]: Simplify (+ 0 0) into 0
9.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
9.292 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow im 2)))) into 0
9.293 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
9.294 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (pow (pow im 2) 1/8))) into 0
9.294 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (sqrt im))) into 0
9.294 * [taylor]: Taking taylor expansion of 0 in im
9.294 * [backup-simplify]: Simplify 0 into 0
9.294 * [backup-simplify]: Simplify 0 into 0
9.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.297 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
9.297 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
9.297 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
9.297 * [backup-simplify]: Simplify 0 into 0
9.298 * [backup-simplify]: Simplify (* 1 1) into 1
9.298 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.298 * [backup-simplify]: Simplify (+ 1 0) into 1
9.299 * [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))
9.300 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/8 (/ 1 (pow im 2)))
9.301 * [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))
9.301 * [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))))
9.302 * [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))
9.302 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
9.302 * [taylor]: Taking taylor expansion of 3/8 in im
9.302 * [backup-simplify]: Simplify 3/8 into 3/8
9.302 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
9.302 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
9.302 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im
9.302 * [taylor]: Taking taylor expansion of 1/4 in im
9.302 * [backup-simplify]: Simplify 1/4 into 1/4
9.302 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
9.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
9.302 * [taylor]: Taking taylor expansion of (pow im 5) in im
9.302 * [taylor]: Taking taylor expansion of im in im
9.302 * [backup-simplify]: Simplify 0 into 0
9.302 * [backup-simplify]: Simplify 1 into 1
9.302 * [backup-simplify]: Simplify (* 1 1) into 1
9.303 * [backup-simplify]: Simplify (* 1 1) into 1
9.303 * [backup-simplify]: Simplify (* 1 1) into 1
9.303 * [backup-simplify]: Simplify (/ 1 1) into 1
9.303 * [backup-simplify]: Simplify (log 1) into 0
9.304 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
9.304 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
9.304 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
9.304 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
9.304 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
9.304 * [backup-simplify]: Simplify 0 into 0
9.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
9.307 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
9.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
9.308 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.308 * [backup-simplify]: Simplify 0 into 0
9.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.309 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.310 * [backup-simplify]: Simplify (+ 0 0) into 0
9.311 * [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
9.312 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
9.314 * [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
9.314 * [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
9.315 * [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
9.315 * [taylor]: Taking taylor expansion of 0 in im
9.315 * [backup-simplify]: Simplify 0 into 0
9.315 * [backup-simplify]: Simplify 0 into 0
9.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.317 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
9.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
9.318 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
9.319 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
9.319 * [backup-simplify]: Simplify 0 into 0
9.319 * [backup-simplify]: Simplify 0 into 0
9.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.326 * [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
9.327 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
9.328 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
9.330 * [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
9.330 * [backup-simplify]: Simplify 0 into 0
9.331 * [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))))
9.331 * [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)
9.331 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
9.331 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
9.331 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
9.331 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
9.331 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
9.331 * [taylor]: Taking taylor expansion of 1/8 in im
9.331 * [backup-simplify]: Simplify 1/8 into 1/8
9.331 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.331 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.332 * [taylor]: Taking taylor expansion of im in im
9.332 * [backup-simplify]: Simplify 0 into 0
9.332 * [backup-simplify]: Simplify 1 into 1
9.332 * [backup-simplify]: Simplify (* 1 1) into 1
9.332 * [backup-simplify]: Simplify (/ 1 1) into 1
9.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.332 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.333 * [taylor]: Taking taylor expansion of re in im
9.333 * [backup-simplify]: Simplify re into re
9.333 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.333 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.333 * [backup-simplify]: Simplify (+ 1 0) into 1
9.334 * [backup-simplify]: Simplify (log 1) into 0
9.334 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
9.334 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
9.334 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
9.334 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
9.334 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
9.334 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
9.334 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.334 * [taylor]: Taking taylor expansion of 1/8 in re
9.335 * [backup-simplify]: Simplify 1/8 into 1/8
9.335 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.335 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.335 * [taylor]: Taking taylor expansion of im in re
9.335 * [backup-simplify]: Simplify im into im
9.335 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.335 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.335 * [taylor]: Taking taylor expansion of re in re
9.335 * [backup-simplify]: Simplify 0 into 0
9.335 * [backup-simplify]: Simplify 1 into 1
9.335 * [backup-simplify]: Simplify (* 1 1) into 1
9.336 * [backup-simplify]: Simplify (/ 1 1) into 1
9.336 * [backup-simplify]: Simplify (+ 0 1) into 1
9.337 * [backup-simplify]: Simplify (log 1) into 0
9.337 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.337 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
9.337 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
9.337 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
9.337 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
9.337 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
9.338 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.338 * [taylor]: Taking taylor expansion of 1/8 in re
9.338 * [backup-simplify]: Simplify 1/8 into 1/8
9.338 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.338 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.338 * [taylor]: Taking taylor expansion of im in re
9.338 * [backup-simplify]: Simplify im into im
9.338 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.338 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.338 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.338 * [taylor]: Taking taylor expansion of re in re
9.338 * [backup-simplify]: Simplify 0 into 0
9.338 * [backup-simplify]: Simplify 1 into 1
9.339 * [backup-simplify]: Simplify (* 1 1) into 1
9.339 * [backup-simplify]: Simplify (/ 1 1) into 1
9.339 * [backup-simplify]: Simplify (+ 0 1) into 1
9.340 * [backup-simplify]: Simplify (log 1) into 0
9.340 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.340 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
9.340 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
9.341 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
9.341 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
9.341 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
9.341 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
9.341 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
9.341 * [taylor]: Taking taylor expansion of 1/4 in im
9.341 * [backup-simplify]: Simplify 1/4 into 1/4
9.341 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
9.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
9.341 * [taylor]: Taking taylor expansion of (pow re 3) in im
9.341 * [taylor]: Taking taylor expansion of re in im
9.341 * [backup-simplify]: Simplify re into re
9.341 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.341 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
9.342 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
9.342 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
9.342 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
9.342 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
9.342 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
9.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.344 * [backup-simplify]: Simplify (+ 0 0) into 0
9.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.345 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.345 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
9.346 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
9.346 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
9.346 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
9.346 * [taylor]: Taking taylor expansion of 0 in im
9.346 * [backup-simplify]: Simplify 0 into 0
9.346 * [backup-simplify]: Simplify 0 into 0
9.346 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.346 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
9.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
9.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
9.351 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
9.351 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.351 * [backup-simplify]: Simplify 0 into 0
9.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.352 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.354 * [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))
9.354 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.354 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
9.355 * [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))))
9.356 * [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))))
9.357 * [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))))
9.357 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
9.357 * [taylor]: Taking taylor expansion of 3/8 in im
9.357 * [backup-simplify]: Simplify 3/8 into 3/8
9.357 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
9.357 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
9.357 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
9.357 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
9.357 * [taylor]: Taking taylor expansion of 1/4 in im
9.357 * [backup-simplify]: Simplify 1/4 into 1/4
9.357 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
9.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
9.357 * [taylor]: Taking taylor expansion of (pow re 3) in im
9.357 * [taylor]: Taking taylor expansion of re in im
9.357 * [backup-simplify]: Simplify re into re
9.357 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.357 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
9.357 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
9.358 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
9.358 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
9.358 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
9.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.358 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.358 * [taylor]: Taking taylor expansion of im in im
9.358 * [backup-simplify]: Simplify 0 into 0
9.358 * [backup-simplify]: Simplify 1 into 1
9.358 * [backup-simplify]: Simplify (* 1 1) into 1
9.358 * [backup-simplify]: Simplify (/ 1 1) into 1
9.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.360 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.360 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
9.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
9.361 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
9.361 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
9.362 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.362 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.363 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
9.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
9.364 * [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
9.365 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
9.365 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.366 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
9.366 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
9.367 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
9.367 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
9.367 * [backup-simplify]: Simplify 0 into 0
9.367 * [backup-simplify]: Simplify 0 into 0
9.368 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.368 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
9.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
9.369 * [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
9.370 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
9.371 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.371 * [backup-simplify]: Simplify 0 into 0
9.371 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.372 * [backup-simplify]: Simplify (+ 0 0) into 0
9.375 * [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
9.375 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.376 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
9.377 * [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
9.378 * [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
9.378 * [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
9.378 * [taylor]: Taking taylor expansion of 0 in im
9.378 * [backup-simplify]: Simplify 0 into 0
9.378 * [backup-simplify]: Simplify 0 into 0
9.378 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4)
9.379 * [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)
9.379 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
9.379 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
9.379 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
9.379 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
9.379 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
9.379 * [taylor]: Taking taylor expansion of 1/8 in im
9.379 * [backup-simplify]: Simplify 1/8 into 1/8
9.379 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.379 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.379 * [taylor]: Taking taylor expansion of im in im
9.379 * [backup-simplify]: Simplify 0 into 0
9.379 * [backup-simplify]: Simplify 1 into 1
9.379 * [backup-simplify]: Simplify (* 1 1) into 1
9.379 * [backup-simplify]: Simplify (/ 1 1) into 1
9.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.379 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.379 * [taylor]: Taking taylor expansion of re in im
9.379 * [backup-simplify]: Simplify re into re
9.380 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.380 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.380 * [backup-simplify]: Simplify (+ 1 0) into 1
9.380 * [backup-simplify]: Simplify (log 1) into 0
9.380 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
9.381 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
9.381 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
9.381 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
9.381 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
9.381 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
9.381 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.381 * [taylor]: Taking taylor expansion of 1/8 in re
9.381 * [backup-simplify]: Simplify 1/8 into 1/8
9.381 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.381 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.381 * [taylor]: Taking taylor expansion of im in re
9.381 * [backup-simplify]: Simplify im into im
9.381 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.381 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.381 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.381 * [taylor]: Taking taylor expansion of re in re
9.381 * [backup-simplify]: Simplify 0 into 0
9.381 * [backup-simplify]: Simplify 1 into 1
9.381 * [backup-simplify]: Simplify (* 1 1) into 1
9.381 * [backup-simplify]: Simplify (/ 1 1) into 1
9.382 * [backup-simplify]: Simplify (+ 0 1) into 1
9.382 * [backup-simplify]: Simplify (log 1) into 0
9.382 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.382 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
9.382 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
9.382 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
9.382 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
9.383 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
9.383 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.383 * [taylor]: Taking taylor expansion of 1/8 in re
9.383 * [backup-simplify]: Simplify 1/8 into 1/8
9.383 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.383 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.383 * [taylor]: Taking taylor expansion of im in re
9.383 * [backup-simplify]: Simplify im into im
9.383 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.383 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.383 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.383 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.383 * [taylor]: Taking taylor expansion of re in re
9.383 * [backup-simplify]: Simplify 0 into 0
9.383 * [backup-simplify]: Simplify 1 into 1
9.383 * [backup-simplify]: Simplify (* 1 1) into 1
9.383 * [backup-simplify]: Simplify (/ 1 1) into 1
9.384 * [backup-simplify]: Simplify (+ 0 1) into 1
9.384 * [backup-simplify]: Simplify (log 1) into 0
9.384 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.384 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
9.384 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
9.385 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
9.385 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
9.385 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
9.385 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
9.385 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
9.385 * [taylor]: Taking taylor expansion of 1/4 in im
9.385 * [backup-simplify]: Simplify 1/4 into 1/4
9.385 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
9.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
9.385 * [taylor]: Taking taylor expansion of (pow re 3) in im
9.385 * [taylor]: Taking taylor expansion of re in im
9.385 * [backup-simplify]: Simplify re into re
9.385 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.385 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
9.385 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
9.385 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
9.385 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
9.385 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
9.386 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
9.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.387 * [backup-simplify]: Simplify (+ 0 0) into 0
9.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.388 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.388 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
9.389 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
9.390 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
9.390 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
9.390 * [taylor]: Taking taylor expansion of 0 in im
9.390 * [backup-simplify]: Simplify 0 into 0
9.390 * [backup-simplify]: Simplify 0 into 0
9.390 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.390 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
9.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
9.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
9.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
9.394 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.394 * [backup-simplify]: Simplify 0 into 0
9.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.396 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.398 * [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))
9.399 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.400 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
9.401 * [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))))
9.403 * [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))))
9.404 * [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))))
9.404 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
9.404 * [taylor]: Taking taylor expansion of 3/8 in im
9.404 * [backup-simplify]: Simplify 3/8 into 3/8
9.404 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
9.405 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
9.405 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
9.405 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
9.405 * [taylor]: Taking taylor expansion of 1/4 in im
9.405 * [backup-simplify]: Simplify 1/4 into 1/4
9.405 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
9.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
9.405 * [taylor]: Taking taylor expansion of (pow re 3) in im
9.405 * [taylor]: Taking taylor expansion of re in im
9.405 * [backup-simplify]: Simplify re into re
9.405 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.405 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
9.405 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
9.405 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
9.406 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
9.406 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
9.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.406 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.406 * [taylor]: Taking taylor expansion of im in im
9.406 * [backup-simplify]: Simplify 0 into 0
9.406 * [backup-simplify]: Simplify 1 into 1
9.406 * [backup-simplify]: Simplify (* 1 1) into 1
9.407 * [backup-simplify]: Simplify (/ 1 1) into 1
9.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.409 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.409 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
9.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
9.410 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
9.411 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
9.411 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.412 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.412 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
9.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
9.415 * [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
9.416 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
9.417 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.417 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
9.418 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
9.418 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
9.419 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
9.419 * [backup-simplify]: Simplify 0 into 0
9.419 * [backup-simplify]: Simplify 0 into 0
9.419 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.419 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
9.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
9.421 * [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
9.421 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
9.422 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.422 * [backup-simplify]: Simplify 0 into 0
9.422 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.424 * [backup-simplify]: Simplify (+ 0 0) into 0
9.426 * [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
9.427 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.427 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
9.429 * [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
9.430 * [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
9.431 * [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
9.431 * [taylor]: Taking taylor expansion of 0 in im
9.431 * [backup-simplify]: Simplify 0 into 0
9.431 * [backup-simplify]: Simplify 0 into 0
9.432 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4)
9.432 * * * [progress]: simplifying candidates
9.435 * [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)
9.441 * * [simplify]: Extracting # 0 : cost  0
9.441 * * [simplify]: Extracting # 1 : cost  0
9.441 * * [simplify]: Extracting # 2 : cost  0
9.441 * * [simplify]: Extracting # 3 : cost  0
9.442 * * [simplify]: Extracting # 4 : cost  0
9.442 * * [simplify]: Extracting # 5 : cost  0
9.443 * * [simplify]: Extracting # 6 : cost  0
9.443 * * [simplify]: Extracting # 7 : cost  0
9.443 * * [simplify]: Extracting # 8 : cost  0
9.444 * * [simplify]: Extracting # 9 : cost  0
9.444 * * [simplify]: iteration  0 :  151  enodes  (cost  1948 )
9.544 * * [simplify]: Extracting # 0 : cost  0
9.545 * * [simplify]: Extracting # 1 : cost  0
9.546 * * [simplify]: Extracting # 2 : cost  0
9.547 * * [simplify]: Extracting # 3 : cost  0
9.547 * * [simplify]: Extracting # 4 : cost  0
9.548 * * [simplify]: Extracting # 5 : cost  0
9.549 * * [simplify]: Extracting # 6 : cost  0
9.550 * * [simplify]: iteration  1 :  394  enodes  (cost  1600 )
9.716 * * [simplify]: Extracting # 0 : cost  0
9.718 * * [simplify]: Extracting # 1 : cost  0
9.720 * * [simplify]: Extracting # 2 : cost  0
9.723 * * [simplify]: Extracting # 3 : cost  0
9.725 * * [simplify]: Extracting # 4 : cost  0
9.727 * * [simplify]: Extracting # 5 : cost  0
9.729 * * [simplify]: Extracting # 6 : cost  0
9.732 * * [simplify]: iteration  2 :  980  enodes  (cost  1449 )
10.559 * * [simplify]: Extracting # 0 : cost  0
10.573 * * [simplify]: Extracting # 1 : cost  0
10.586 * * [simplify]: Extracting # 2 : cost  0
10.596 * * [simplify]: Extracting # 3 : cost  0
10.606 * * [simplify]: Extracting # 4 : cost  0
10.612 * * [simplify]: Extracting # 5 : cost  0
10.619 * * [simplify]: iteration done:  5000  enodes  (cost  1281 )
10.620 * [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)
10.622 * * * [progress]: adding candidates to table
11.073 * [progress]: [Phase 3 of 3] Extracting.
11.073 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) 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 (* 2.0 (+ re 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 (sqrt (+ (* re re) (* im im))))) (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.078 * * * [regime-changes]: Trying 4 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) im re)
11.078 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) 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 (* 2.0 (+ re 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 (sqrt (+ (* re re) (* im im))))) (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.172 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) 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 (* 2.0 (+ re 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 (sqrt (+ (* re re) (* im im))))) (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<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 0))))>)
11.226 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) 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 (* 2.0 (+ re 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 (sqrt (+ (* re re) (* im im))))) (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.276 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.313 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) 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 (* 2.0 (+ re 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 (sqrt (+ (* re re) (* im im))))) (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.404 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) 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 (* 2.0 (+ re 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 (sqrt (+ (* re re) (* im im))))) (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.484 * * * [regime]: Found split indices: #<option (#s(si 3 130) #s(si 5 211) #s(si 2 255))>
11.485 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) 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 (* 2.0 (+ re 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 (sqrt (+ (* re re) (* im im))))) (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.602 * [regimes]: Found splitpoints: (#s(sp 3 re -3.2587003084137343e-288) #s(sp 5 re 1.0159335777475273e+138) #s(sp 2 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) 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 (* 2.0 (+ re 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 (sqrt (+ (* re re) (* im im))))) (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.603 * [simplify]: Simplifying:
  (if (<= re -3.2587003084137343e-288) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 1.0159335777475273e+138) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
11.603 * * [simplify]: Extracting # 0 : cost  0
11.603 * * [simplify]: Extracting # 1 : cost  0
11.603 * * [simplify]: Extracting # 2 : cost  0
11.603 * * [simplify]: Extracting # 3 : cost  0
11.603 * * [simplify]: Extracting # 4 : cost  0
11.604 * * [simplify]: Extracting # 5 : cost  0
11.604 * * [simplify]: Extracting # 6 : cost  0
11.604 * * [simplify]: Extracting # 7 : cost  0
11.604 * * [simplify]: Extracting # 8 : cost  0
11.604 * * [simplify]: Extracting # 9 : cost  0
11.604 * * [simplify]: Extracting # 10 : cost  0
11.604 * * [simplify]: Extracting # 11 : cost  0
11.604 * * [simplify]: Extracting # 12 : cost  0
11.604 * * [simplify]: Extracting # 13 : cost  0
11.604 * * [simplify]: Extracting # 14 : cost  0
11.605 * * [simplify]: Extracting # 15 : cost  0
11.605 * * [simplify]: Extracting # 16 : cost  0
11.605 * * [simplify]: iteration  0 :  36  enodes  (cost  74 )
11.608 * * [simplify]: Extracting # 0 : cost  0
11.608 * * [simplify]: iteration  1 :  46  enodes  (cost  74 )
11.612 * * [simplify]: Extracting # 0 : cost  0
11.612 * * [simplify]: iteration done:  46  enodes  (cost  74 )
11.612 * [simplify]: Simplified to:
  (if (<= re -3.2587003084137343e-288) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 1.0159335777475273e+138) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
14.633 * [regime-testing]: Baseline error score: 38.705039603487904
14.637 * [regime-testing]: Oracle error score: 17.445950708694966
14.647 * [regime-testing]: End program error score: 26.389273054398377
14.727 * [regime-testing]: Target error score: 33.69614911227882